[ { "id": "8", "image": "8.png", "conversations": [ { "from": "human", "question": "Hannah baked cookies each day for a bake sale. How many more cookies did Hannah bake on Saturday than on Sunday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nSaturday: 281\nSunday: 263\n\nNow subtract: 281 - 263 = 18.\n\nHannah baked 18 more cookies on Saturday.", "answer": "18", "table": "**Cookies baked**\n\n| Day | Number of cookies |\n| --- | --- |\n| Friday | 163 |\n| Saturday | 281 |\n| Sunday | 263 |" } ] }, { "id": "16", "image": "16.png", "conversations": [ { "from": "human", "question": "Some friends discussed the sizes of their coin collections. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n76, 94, 86, 84, 80, 83, 82, 87\n\nFirst, count how many numbers are in the group.\n\nThere are 8 numbers.\n\nNow add all the numbers together:\n\n76 + 94 + 86 + 84 + 80 + 83 + 82 + 87 = 672\n\nNow divide the sum by the number of numbers:\n\n672 ÷ 8 = 84\n\nThe mean is 84.", "answer": "84", "table": "**Coin collections**\n\n| Name | Number of coins |\n| --- | --- |\n| Braden | 76 |\n| Camilla | 94 |\n| Rick | 86 |\n| Mary | 84 |\n| Hector | 80 |\n| Devin | 83 |\n| Emily | 82 |\n| Avery | 87 |" } ] }, { "id": "22", "image": "22.png", "conversations": [ { "from": "human", "question": "The employees at Tessa's Construction monitored the number of cracked window panes in each shipment they received. How many shipments had at least 40 cracked window panes but less than 60 cracked window panes?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 4 and 5.\n\nYou counted 9 leaves, which are blue in the stem-and-leaf plot above. 9 shipments had at least 40 cracked window panes but less than 60 cracked window panes.", "answer": "9", "table": "**Cracked window panes per shipment**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 1 |\n| 4 | 0, 0, 1, 5 |\n| 5 | 0, 2, 5, 9, 9 |\n| 6 | |\n| 7 | 0 |\n| 8 | 6 |\n| 9 | 0 |" } ] }, { "id": "23", "image": "23.png", "conversations": [ { "from": "human", "question": "Samir's class recorded how many cans of food each student collected for their canned food drive. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 4, 7, 8, 9\n\nFirst, arrange the numbers from least to greatest:\n\n4, 7, 7, 8, 9\n\nNow find the number in the middle.\n\n4, 7, 7, 8, 9\n\nThe number in the middle is 7.\n\nThe median is 7.", "answer": "7", "table": "**Cans of food collected**\n\n| Name | Number of cans of food |\n| --- | --- |\n| Samir | 7 |\n| Kristen | 4 |\n| Dakota | 7 |\n| Jamie | 8 |\n| Maggie | 9 |" } ] }, { "id": "25", "image": "25.png", "conversations": [ { "from": "human", "question": "Some friends discussed the sizes of their coin collections. Who has the most coins?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 663.\n\nNow find the corresponding name. Hunter corresponds to 663.", "answer": "Hunter", "table": "**Coin collections**\n\n| Name | Number of coins |\n| --- | --- |\n| Erica | 646 |\n| Hunter | 663 |\n| Damon | 643 |\n| Larry | 634 |" } ] }, { "id": "30", "image": "30.png", "conversations": [ { "from": "human", "question": "Some friends played a trivia game and recorded their scores. How many more points did Hannah score than Dustin?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nHannah: 770\nDustin: 120\n\nNow subtract: 770 - 120 = 650.\n\nHannah scored 650 points more.", "answer": "650", "table": "**Trivia game scores**\n\n| Name | Score |\n| --- | --- |\n| Hannah | 770 |\n| Mona | 570 |\n| Bryan | 886 |\n| Carly | 223 |\n| Dustin | 120 |" } ] }, { "id": "31", "image": "31.png", "conversations": [ { "from": "human", "question": "How much money does Sidney need to buy a piece of mint chocolate and 7 peanut butter cups?\n" }, { "from": "gpt", "solution": "Find the cost of 7 peanut butter cups.\n\n$0.19 × 7 = $1.33\n\nNow find the total cost.\n\n$0.14 + $1.33 = $1.47\n\nSidney needs $1.47.", "answer": "1.47", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| peanut butter cup | $0.19 |\n| gummy bear | $0.10 |\n| piece of mint chocolate | $0.14 |\n| piece of licorice | $0.19 |\n| piece of gum | $0.13 |" } ] }, { "id": "46", "image": "46.png", "conversations": [ { "from": "human", "question": "Some friends compared the sizes of their stuffed animal collections. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n16, 19, 16, 16, 19\n\nFirst, arrange the numbers from least to greatest:\n\n16, 16, 16, 19, 19\n\nNow count how many times each number appears.\n\n16 appears 3 times.\n19 appears 2 times.\n\nThe number that appears most often is 16.\n\nThe mode is 16.", "answer": "16", "table": "**Stuffed animal collections**\n\n| Name | Number of stuffed animals |\n| --- | --- |\n| Evelyn | 16 |\n| Clarence | 19 |\n| Hazel | 16 |\n| Janet | 16 |\n| Pam | 19 |" } ] }, { "id": "53", "image": "53.png", "conversations": [ { "from": "human", "question": "Paula's family went on a road trip and counted the number of cars they saw each day. How many cars in total did they see on Friday and Saturday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nFriday: 159\nSaturday: 164\n\nNow add: 159 + 164 = 323.\n\nThey saw 323 cars on Friday and Saturday.", "answer": "323", "table": "**Number of cars**\n\n| Day | Number of cars |\n| --- | --- |\n| Thursday | 158 |\n| Friday | 159 |\n| Saturday | 164 |" } ] }, { "id": "54", "image": "54.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $155, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $155, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $155 | 22,600 | 5,800 |\n| $275 | 20,500 | 9,400 |\n| $395 | 18,400 | 13,000 |\n| $515 | 16,300 | 16,600 |\n| $635 | 14,200 | 20,200 |" } ] }, { "id": "56", "image": "56.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does the snowboarding event begin?\n" }, { "from": "gpt", "solution": "Find the snowboarding event on the schedule. Find the beginning time for the snowboarding event.\n\nsnowboarding: 7:25 P. M.", "answer": "7:25 P.M.", "table": "**Winter Olympics schedule**\n\n| Event | Begin | End |\n| --- | --- | --- |\n| speed skating | 11:20 A.M. | 4:55 P.M. |\n| cross-country skiing | 4:35 P.M. | 6:35 P.M. |\n| downhill skiing | 5:40 P.M. | 6:50 P.M. |\n| luge | 6:05 P.M. | 8:15 P.M. |\n| snowboarding | 7:25 P.M. | 9:30 P.M. |" } ] }, { "id": "62", "image": "62.png", "conversations": [ { "from": "human", "question": "How much money does Leon need to buy a book about South America, a book about cats, and a book about Australia?\n" }, { "from": "gpt", "solution": "Find the total cost of a book about South America, a book about cats, and a book about Australia.\n\n$1 + $9 + $9 = $19\n\nLeon needs $19.", "answer": "19", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| book about outer space | $7 |\n| book about cars | $1 |\n| book about cats | $9 |\n| book about Australia | $9 |\n| book about South America | $1 |" } ] }, { "id": "71", "image": "71.png", "conversations": [ { "from": "human", "question": "A sports fan decided to examine the pattern of medals won by certain countries at several Olympic games. In 1996, how many more medals did Sweden win than Finland?\n" }, { "from": "gpt", "solution": "Find the 1996 column. Find the numbers in this column for Sweden and Finland.\n\nSweden: 8\nFinland: 4\n\nNow subtract:\n\n8 − 4 = 4\n\nIn 1996, Sweden won 4 more medals than Finland.", "answer": "4", "table": "**Olympic medals**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 1996 | 2000 |\n| Sweden | 8 | 12 |\n| Brazil | 15 | 12 |\n| Finland | 4 | 4 |" } ] }, { "id": "74", "image": "74.png", "conversations": [ { "from": "human", "question": "How much money does Sarah need to buy an elastic band and a brass clip?\n" }, { "from": "gpt", "solution": "Add the price of an elastic band and the price of a brass clip:\n\n$0.20 + $0.38 = $0.58\n\nSarah needs $0.58.", "answer": "0.58", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| small metal hook | $0.30 |\n| elastic band | $0.20 |\n| light bulb | $0.45 |\n| spool of gold wire | $0.56 |\n| brass clip | $0.38 |" } ] }, { "id": "82", "image": "82.png", "conversations": [ { "from": "human", "question": "A restaurant's average food preparation time was tracked from day to day as part of an efficiency improvement program. According to the table, what was the rate of change between Wednesday and Thursday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{21 minutes - 18 minutes}{1 day}\n = \\frac{3 minutes}{1 day}\n = 3 minutes per day\nThe rate of change between Wednesday and Thursday was 3 minutes per day.", "answer": "3", "table": "**Average food preparation time**\n\n| Day | Food preparation time (minutes) |\n| --- | --- |\n| Monday | 25 |\n| Tuesday | 27 |\n| Wednesday | 18 |\n| Thursday | 21 |\n| Friday | 27 |" } ] }, { "id": "84", "image": "84.png", "conversations": [ { "from": "human", "question": "A real estate agent evaluated the number of houses sold this year in each town in Clinton County. What fraction of houses sold in Clinton County were in Hillsdale? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many houses were sold in Hillsdale.\n\n920\n\nFind how many houses were sold in total.\n\n900 + 730 + 920 + 170 + 610 = 3,330\n\nDivide 920 by 3,330.\n\n\\frac{920}{3,330}\n\nReduce the fraction.\n\n\\frac{920}{3,330} → \\frac{92}{333}\n\n\\frac{92}{333} of houses were sold in Hillsdale.", "answer": "92/333", "table": "**Number of houses sold**\n\n| Town | Number of houses sold |\n| --- | --- |\n| Livingston | 900 |\n| Lexington | 730 |\n| Hillsdale | 920 |\n| Vindale | 170 |\n| Other | 610 |" } ] }, { "id": "85", "image": "85.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Gina just missed the 10.45 A.M. bus at downtown. How long does she have to wait until the next bus?\n" }, { "from": "gpt", "solution": "Find 10:45 A. M. in the row for downtown.\n\nLook for the next bus in that row.\n\nThe next bus is at 11:00 A. M.\n\nFind the elapsed time. The elapsed time is 15 minutes.", "answer": "15 minutes", "table": "**Hotel shuttle bus schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 |\n| --- | --- | --- | --- |\n| downtown | 10:30 A.M. | 10:45 A.M. | 11:00 A.M. |\n| hotel | 11:15 A.M. | 11:30 A.M. | 11:45 A.M. |\n| softball field | 12:15 P.M. | 12:30 P.M. | 12:45 P.M. |\n| train station | 1:00 P.M. | 1:15 P.M. | 1:30 P.M. |" } ] }, { "id": "102", "image": "102.png", "conversations": [ { "from": "human", "question": "Lorenzo has $13.50. Does he have enough to buy a toy guitar and a set of juggling balls?\n" }, { "from": "gpt", "solution": "Add the price of a toy guitar and the price of a set of juggling balls:\n\n$8.23 + $5.01 = $13.24\n\n$13.24 is less than $13.50. Lorenzo does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| toy boat | $5.54 |\n| toy guitar | $8.23 |\n| set of juggling balls | $5.01 |\n| trivia game | $8.18 |\n| jigsaw puzzle | $5.30 |\n| toy dinosaur | $3.00 |" } ] }, { "id": "106", "image": "106.png", "conversations": [ { "from": "human", "question": "Dean counted the number of pieces of pepperoni on each pizza he made. What is the largest number of pieces of pepperoni?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 4.\n\nNow find the highest leaf in the last row. The highest leaf is 8.\n\nThe largest number of pieces of pepperoni has a stem of 4 and a leaf of 8. Write the stem first, then the leaf: 48.\n\nThe largest number of pieces of pepperoni is 48 pieces of pepperoni.", "answer": "48", "table": "**Pieces of pepperoni per pizza**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 7, 7, 9 |\n| 2 | 5, 5, 6, 7 |\n| 3 | 0, 0, 8, 8 |\n| 4 | 0, 5, 5, 6, 8, 8 |" } ] }, { "id": "112", "image": "112.png", "conversations": [ { "from": "human", "question": "A jeweler in Middletown examined which metals her customers selected for wedding bands last year. What fraction of the rings sold had a gold band? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many rings with a gold band were sold.\n\n770\n\nFind how many rings were sold in total.\n\n500 + 730 + 770 = 2,000\n\nDivide 770 by2,000.\n\n\\frac{770}{2,000}\n\nReduce the fraction.\n\n\\frac{770}{2,000} → \\frac{77}{200}\n\n\\frac{77}{200} of rings with a gold band were sold.", "answer": "77/200", "table": "**Wedding ring preference**\n\n| Metal | Rings bought |\n| --- | --- |\n| Platinum | 500 |\n| Silver | 730 |\n| Gold | 770 |" } ] }, { "id": "123", "image": "123.png", "conversations": [ { "from": "human", "question": "Erik has $7,616.00. How much money will Erik have left if he buys a parrot and a kinkajou?\n" }, { "from": "gpt", "solution": "Find the total cost of a parrot and a kinkajou.\n\n$1,123.00 + $1,837.00 = $2,960.00\n\nNow subtract the total cost from the starting amount.\n\n$7,616.00 - $2,960.00 = $4,656.00\n\nErik will have $4,656.00 left.", "answer": "4,656", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| alpaca | $1,605.00 |\n| kinkajou | $1,837.00 |\n| python | $8,343.00 |\n| parrot | $1,123.00 |\n| macaw | $1,629.00 |" } ] }, { "id": "126", "image": "126.png", "conversations": [ { "from": "human", "question": "Gina kept track of how many laps she swam during the past 7 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n41, 38, 35, 41, 35, 31, 38\n\nFirst, find the greatest number. The greatest number is 41.\n\nNext, find the least number. The least number is 31.\n\nSubtract the least number from the greatest number:\n\n41 − 31 = 10\n\nThe range is 10.", "answer": "10", "table": "**Laps swum**\n\n| Day | Number of laps |\n| --- | --- |\n| Friday | 41 |\n| Saturday | 38 |\n| Sunday | 35 |\n| Monday | 41 |\n| Tuesday | 35 |\n| Wednesday | 31 |\n| Thursday | 38 |" } ] }, { "id": "128", "image": "128.png", "conversations": [ { "from": "human", "question": "An amusement park manager looked up the number of ride tickets sold in the past 4 days. On which day did the amusement park sell the most tickets?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 495.\n\nNow find the corresponding day. Friday corresponds to 495.", "answer": "Friday", "table": "**Tickets sold**\n\n| Day | Number of tickets |\n| --- | --- |\n| Tuesday | 491 |\n| Wednesday | 459 |\n| Thursday | 445 |\n| Friday | 495 |" } ] }, { "id": "133", "image": "133.png", "conversations": [ { "from": "human", "question": "This is Franco's complete financial record for September. At the end of September, how much money did Franco have?\n" }, { "from": "gpt", "solution": "The last line of the financial record shows available funds of $50.80. So, Franco had $50.80 at the end of September.\n", "answer": "50.80", "table": "| Date | Description | Received | Expenses | Available Funds |\n| --- | --- | --- | --- | --- |\n| | Balance: end of August | | | $29.20 |\n| 9/2 | sandpaper | | $2.45 | $26.75 |\n| 9/3 | paintbrush | | $5.95 | $20.80 |\n| 9/5 | painting fence | $30.00 | | $50.80 |" } ] }, { "id": "141", "image": "141.png", "conversations": [ { "from": "human", "question": "The school district compared how many swings each elementary school has. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n10, 10, 5, 10, 9, 9, 5, 10\n\nFirst, arrange the numbers from least to greatest:\n\n5, 5, 9, 9, 10, 10, 10, 10\n\nNow count how many times each number appears.\n\n5 appears 2 times.\n9 appears 2 times.\n10 appears 4 times.\n\nThe number that appears most often is 10.\n\nThe mode is 10.", "answer": "10", "table": "**Swings**\n\n| School | Number of swings |\n| --- | --- |\n| Jefferson Elementary | 10 |\n| Roseville Elementary | 10 |\n| Canyon Elementary | 5 |\n| Hillside Elementary | 10 |\n| Boyd Elementary | 9 |\n| Newberry Elementary | 9 |\n| Valley Elementary | 5 |\n| Lincoln Elementary | 10 |" } ] }, { "id": "145", "image": "145.png", "conversations": [ { "from": "human", "question": "A real estate agent looked into how many houses were sold in different cities. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n41, 21, 23, 14, 22\n\nFirst, arrange the numbers from least to greatest:\n\n14, 21, 22, 23, 41\n\nNow find the number in the middle.\n\n14, 21, 22, 23, 41\n\nThe number in the middle is 22.\n\nThe median is 22.", "answer": "22", "table": "**House sales**\n\n| City | Number of houses sold |\n| --- | --- |\n| Center City | 41 |\n| Fremont | 21 |\n| Pennytown | 23 |\n| Liberty City | 14 |\n| New Hamburg | 22 |" } ] }, { "id": "163", "image": "163.png", "conversations": [ { "from": "human", "question": "How much would it cost to buy 3+2/5 kilograms of marinara sauce?\n" }, { "from": "gpt", "solution": "Find the cost of the marinara sauce. Multiply the price per kilogram by the number of kilograms.\n$2 × 3\\frac{2}{5} = $2 × 3.4 = $6.80\nIt would cost $6.80.", "answer": "6.80", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| alfredo sauce | $2/kg |\n| tomato sauce | $2/kg |\n| beef sauce | $3/kg |\n| chicken sauce | $2/kg |\n| marinara sauce | $2/kg |" } ] }, { "id": "169", "image": "169.png", "conversations": [ { "from": "human", "question": "Several students participated in a race. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n19, 20, 18, 17, 19\n\nFirst, arrange the numbers from least to greatest:\n\n17, 18, 19, 19, 20\n\nNow find the number in the middle.\n\n17, 18, 19, 19, 20\n\nThe number in the middle is 19.\n\nThe median is 19.", "answer": "19", "table": "**Race results**\n\n| Runner | Time (minutes) |\n| --- | --- |\n| Jeremiah | 19 |\n| Cora | 20 |\n| Wyatt | 18 |\n| Kira | 17 |\n| Zack | 19 |" } ] }, { "id": "175", "image": "175.png", "conversations": [ { "from": "human", "question": "Eliana bought 2.8 pounds of oysters. How much did she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the oysters. Multiply the price per pound by the number of pounds.\n$3 × 2.8 = $8.40\nShe spent $8.40.", "answer": "8.40", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| mussels | $9 per lb |\n| crab meat | $7 per lb |\n| oysters | $3 per lb |\n| shrimp | $9 per lb |\n| lobster meat | $12 per lb |" } ] }, { "id": "180", "image": "180.png", "conversations": [ { "from": "human", "question": "Manny kept track of how many kilometers he walked during the past 7 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n4, 4, 10, 2, 7, 3, 7\n\nFirst, find the greatest number. The greatest number is 10.\n\nNext, find the least number. The least number is 2.\n\nSubtract the least number from the greatest number:\n\n10 − 2 = 8\n\nThe range is 8.", "answer": "8", "table": "**Kilometers walked**\n\n| Day | Kilometers |\n| --- | --- |\n| Sunday | 4 |\n| Monday | 4 |\n| Tuesday | 10 |\n| Wednesday | 2 |\n| Thursday | 7 |\n| Friday | 3 |\n| Saturday | 7 |" } ] }, { "id": "187", "image": "187.png", "conversations": [ { "from": "human", "question": "Cassie has $0.18. How much money will Cassie have left if she buys a spiral snail shell and a scallop shell?\n" }, { "from": "gpt", "solution": "Find the total cost of a spiral snail shell and a scallop shell.\n\n$0.03 + $0.08 = $0.11\n\nNow subtract the total cost from the starting amount.\n\n$0.18 - $0.11 = $0.07\n\nCassie will have $0.07 left.", "answer": "0.07", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| orange cone shell | $0.05 |\n| spiral snail shell | $0.03 |\n| purple clam shell | $0.03 |\n| scallop shell | $0.08 |" } ] }, { "id": "207", "image": "207.png", "conversations": [ { "from": "human", "question": "Joey has $2.00. Does he have enough to buy a bottle of soy sauce and a jar of salsa?\n" }, { "from": "gpt", "solution": "Add the price of a bottle of soy sauce and the price of a jar of salsa:\n\n$0.87 + $0.98 = $1.85\n\n$1.85 is less than $2.00. Joey does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| jar of tomato sauce | $0.71 |\n| bottle of hot sauce | $0.81 |\n| bottle of mustard | $0.95 |\n| bottle of ketchup | $0.79 |\n| bottle of soy sauce | $0.87 |\n| jar of salsa | $0.98 |" } ] }, { "id": "212", "image": "212.png", "conversations": [ { "from": "human", "question": "Liam wants to buy 1.1 kilograms of mozzarella. How much will he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the mozzarella. Multiply the price per kilogram by the number of kilograms.\n$4 × 1.1 = $4.40\nHe will spend $4.40.", "answer": "4.40", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| blue cheese | $4 per kg |\n| Brie | $4 per kg |\n| gouda | $3 per kg |\n| smoked cheddar | $4 per kg |\n| mozzarella | $4 per kg |\n| feta | $3 per kg |" } ] }, { "id": "213", "image": "213.png", "conversations": [ { "from": "human", "question": "A charity recorded how many donations it received each month. How many more donations did the charity receive in July than in August?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nJuly: 789\nAugust: 187\n\nNow subtract: 789 - 187 = 602.\n\nThe charity received 602 more donations in July.", "answer": "602", "table": "**Charity donations**\n\n| Month | Number of donations |\n| --- | --- |\n| June | 417 |\n| July | 789 |\n| August | 187 |\n| September | 608 |" } ] }, { "id": "217", "image": "217.png", "conversations": [ { "from": "human", "question": "To figure out how many vacation days he had left to use, Austin looked over his old calendars to figure out how many days of vacation he had taken each year. According to the table, what was the rate of change between 2015 and 2016?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{15 vacation days - 11 vacation days}{2016 - 2015}\n = \\frac{15 vacation days - 11 vacation days}{1 year}\n = \\frac{4 vacation days}{1 year}\n = 4 vacation days per year\nThe rate of change between 2015 and 2016 was 4 vacation days per year.", "answer": "4", "table": "**Vacation days taken by Austin**\n\n| Year | Vacation days |\n| --- | --- |\n| 2013 | 23 |\n| 2014 | 18 |\n| 2015 | 11 |\n| 2016 | 15 |\n| 2017 | 8 |" } ] }, { "id": "225", "image": "225.png", "conversations": [ { "from": "human", "question": "Harry, a huge fan, tracked the scores on his favorite radio quiz show. Which score did the fewest people receive?\n" }, { "from": "gpt", "solution": "Look at the frequency column. Find the least frequency. The least frequency is 2, which is in the row for 4. The fewest people scored 4.", "answer": "4", "table": "**Scores on a radio quiz show**\n\n| Score | Frequency |\n| --- | --- |\n| 0 | 6 |\n| 1 | 16 |\n| 2 | 13 |\n| 3 | 9 |\n| 4 | 2 |\n| 5 | 10 |" } ] }, { "id": "240", "image": "240.png", "conversations": [ { "from": "human", "question": "Each desk has 5 highlighters. How many highlighters are on 3 desks?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 15 highlighters on 3 desks.", "answer": "15", "table": "| Number of desks | Number of highlighters |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | ? |" } ] }, { "id": "246", "image": "246.png", "conversations": [ { "from": "human", "question": "Roxanne has $32.50. Does she have enough to buy a CD and a blender?\n" }, { "from": "gpt", "solution": "Add the price of a CD and the price of a blender:\n\n$18.35 + $14.02 = $32.37\n\n$32.37 is less than $32.50. Roxanne does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| blender | $14.02 |\n| CD | $18.35 |\n| computer mouse | $10.65 |\n| CD player | $21.84 |\n| DVD player | $53.57 |\n| radio | $15.42 |" } ] }, { "id": "250", "image": "250.png", "conversations": [ { "from": "human", "question": "Fans of the Kingwood baseball team compared the number of games won by their team each year. According to the table, what was the rate of change between 2009 and 2010?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{46 games - 39 games}{2010 - 2009}\n = \\frac{46 games - 39 games}{1 year}\n = \\frac{7 games}{1 year}\n = 7 games per year\nThe rate of change between 2009 and 2010 was 7 games per year.", "answer": "7", "table": "**Games won by the Kingwood baseball team**\n\n| Year | Games won |\n| --- | --- |\n| 2009 | 39 |\n| 2010 | 46 |\n| 2011 | 36 |\n| 2012 | 44 |\n| 2013 | 44 |" } ] }, { "id": "251", "image": "251.png", "conversations": [ { "from": "human", "question": "Mrs. Whitehead hosts an annual art contest for kids, and she keeps a record of the number of entries each year. According to the table, what was the rate of change between 2013 and 2014?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{48 entries - 45 entries}{2014 - 2013}\n = \\frac{48 entries - 45 entries}{1 year}\n = \\frac{3 entries}{1 year}\n = 3 entries per year\nThe rate of change between 2013 and 2014 was 3 entries per year.", "answer": "3", "table": "**Art contest entries**\n\n| Year | Number of entries |\n| --- | --- |\n| 2012 | 36 |\n| 2013 | 45 |\n| 2014 | 48 |\n| 2015 | 46 |\n| 2016 | 33 |" } ] }, { "id": "256", "image": "256.png", "conversations": [ { "from": "human", "question": "The owner of a plant nursery wrote down the number of roses on each bush. How many bushes have at least 79 roses?\n" }, { "from": "gpt", "solution": "Find the row with stem 7. Count all the leaves greater than or equal to 9.\n\nCount all the leaves in the rows with stems 8 and 9.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plots above. 3 bushes have at least 79 roses.", "answer": "3", "table": "**Roses per bush**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 3, 7 |\n| 4 | 3, 3, 8 |\n| 5 | 6, 7, 8 |\n| 6 | 2, 5, 8 |\n| 7 | 1, 4, 4, 6 |\n| 8 | 2, 9 |\n| 9 | 0 |" } ] }, { "id": "273", "image": "273.png", "conversations": [ { "from": "human", "question": "How much money does Carly need to buy 9 yellow bath towels and 8 fleece blankets?\n" }, { "from": "gpt", "solution": "Find the cost of 9 yellow bath towels.\n\n$8.30 × 9 = $74.70\n\nFind the cost of 8 fleece blankets.\n\n$5.75 × 8 = $46.00\n\nNow find the total cost.\n\n$74.70 + $46.00 = $120.70\n\nCarly needs $120.70.", "answer": "120.70", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| fleece blanket | $5.75 |\n| flannel sheet | $8.63 |\n| yellow bath towel | $8.30 |\n| beach towel | $8.68 |" } ] }, { "id": "286", "image": "286.png", "conversations": [ { "from": "human", "question": "A newspaper researched how many grocery stores there are in each town. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n4, 7, 2, 8, 7, 4, 7, 4\n\nFirst, find the greatest number. The greatest number is 8.\n\nNext, find the least number. The least number is 2.\n\nSubtract the least number from the greatest number:\n\n8 − 2 = 6\n\nThe range is 6.", "answer": "6", "table": "**Grocery stores in each town**\n\n| Town | Number of stores |\n| --- | --- |\n| Watertown | 4 |\n| Richmond | 7 |\n| Springfield | 2 |\n| Marion | 8 |\n| Greenwood | 7 |\n| Ashland | 4 |\n| Mayfield | 7 |\n| Riverside | 4 |" } ] }, { "id": "288", "image": "288.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $310, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $310, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $90 | 15,100 | 3,000 |\n| $200 | 11,900 | 6,900 |\n| $310 | 8,700 | 10,800 |\n| $420 | 5,500 | 14,700 |\n| $530 | 2,300 | 18,600 |" } ] }, { "id": "308", "image": "308.png", "conversations": [ { "from": "human", "question": "How much money does Rebecca need to buy baked ziti and baked chicken?\n" }, { "from": "gpt", "solution": "Add the price of baked ziti and the price of baked chicken:\n\n$13.00 + $10.00 = $23.00\n\nRebecca needs $23.00.", "answer": "23", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pasta with white sauce | $13.00 |\n| lasagna | $11.00 |\n| baked chicken | $10.00 |\n| eggplant parmesan | $19.00 |\n| ravioli | $10.00 |\n| baked ziti | $13.00 |" } ] }, { "id": "310", "image": "310.png", "conversations": [ { "from": "human", "question": "The city recorded how many fire hydrants there are on each street. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n8, 9, 5, 2, 4, 6, 7, 5\n\nFirst, find the greatest number. The greatest number is 9.\n\nNext, find the least number. The least number is 2.\n\nSubtract the least number from the greatest number:\n\n9 − 2 = 7\n\nThe range is 7.", "answer": "7", "table": "**Fire hydrants**\n\n| Street | Number of hydrants |\n| --- | --- |\n| Pine Street | 8 |\n| Cedar Street | 9 |\n| Fir Street | 5 |\n| Elm Street | 2 |\n| Maple Street | 4 |\n| Lemon Street | 6 |\n| Aspen Street | 7 |\n| Rose Street | 5 |" } ] }, { "id": "316", "image": "316.png", "conversations": [ { "from": "human", "question": "The McCarthy Senior Care Center monitored how often its residents got to visit with relatives last year. How many residents visited with relatives more than 2 times?\n" }, { "from": "gpt", "solution": "Find the row for 3 times and read the frequency. The frequency is 5.\n\n5 residents visited with relatives more than 2 times.", "answer": "5", "table": "**Visiting with relatives last year**\n\n| Number of visits | Frequency |\n| --- | --- |\n| 0 | 12 |\n| 1 | 4 |\n| 2 | 9 |\n| 3 | 5 |" } ] }, { "id": "324", "image": "324.png", "conversations": [ { "from": "human", "question": "As part of a stuffed animal drive for the local children's hospital, the students at Shah Elementary School record how many stuffed animals they have collected. How many students have more than 5 stuffed animals?\n" }, { "from": "gpt", "solution": "Find the row for 6 stuffed animals and read the frequency. The frequency is 17.\n\n17 students have more than 5 stuffed animals.", "answer": "17", "table": "**Stuffed animals**\n\n| Number of stuffed animals | Frequency |\n| --- | --- |\n| 0 | 11 |\n| 1 | 19 |\n| 2 | 18 |\n| 3 | 5 |\n| 4 | 16 |\n| 5 | 2 |\n| 6 | 17 |" } ] }, { "id": "333", "image": "333.png", "conversations": [ { "from": "human", "question": "A farm equipment company kept a record of the number of tractors made each month. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n97, 93, 90, 90, 98, 96, 90, 98\n\nFirst, count how many numbers are in the group.\n\nThere are 8 numbers.\n\nNow add all the numbers together:\n\n97 + 93 + 90 + 90 + 98 + 96 + 90 + 98 = 752\n\nNow divide the sum by the number of numbers:\n\n752 ÷ 8 = 94\n\nThe mean is 94.", "answer": "94", "table": "**Tractors made**\n\n| Month | Number of tractors |\n| --- | --- |\n| February | 97 |\n| March | 93 |\n| April | 90 |\n| May | 90 |\n| June | 98 |\n| July | 96 |\n| August | 90 |\n| September | 98 |" } ] }, { "id": "334", "image": "334.png", "conversations": [ { "from": "human", "question": "The players on a quiz show received the following scores. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n2, 5, 10, 4, 4\n\nFirst, count how many numbers are in the group.\n\nThere are 5 numbers.\n\nNow add all the numbers together:\n\n2 + 5 + 10 + 4 + 4 = 25\n\nNow divide the sum by the number of numbers:\n\n25 ÷ 5 = 5\n\nThe mean is 5.", "answer": "5", "table": "**Quiz show scores**\n\n| Name | Score |\n| --- | --- |\n| Neil | 2 |\n| Austen | 5 |\n| Ezra | 10 |\n| Sandeep | 4 |\n| Rachel | 4 |" } ] }, { "id": "337", "image": "337.png", "conversations": [ { "from": "human", "question": "Kelsey, a candy store employee, placed peppermint candies into jars of various sizes. How many jars had at least 25 peppermint candies?\n" }, { "from": "gpt", "solution": "Find the row with stem 2. Count all the leaves greater than or equal to 5.\n\nCount all the leaves in the rows with stems 3, 4, and 5.\n\nYou counted 15 leaves, which are blue in the stem-and-leaf plots above. 15 jars had at least 25 peppermint candies.", "answer": "15", "table": "**Peppermint candies per jar**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 0, 0, 5, 7, 8, 8, 9 |\n| 3 | 7 |\n| 4 | 3, 6, 8 |\n| 5 | 0, 1, 3, 5, 5, 6 |" } ] }, { "id": "352", "image": "352.png", "conversations": [ { "from": "human", "question": "Dr. Dixon, a pediatrician, weighed all the children who recently visited her office. What is the weight of the heaviest child?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 7.\n\nNow find the highest leaf in the last row. The highest leaf is 7.\n\nThe weight of the heaviest child has a stem of 7 and a leaf of 7. Write the stem first, then the leaf: 77.\n\nThe weight of the heaviest child is 77 pounds.", "answer": "77", "table": "**Children's weights (lbs)**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 6, 9 |\n| 4 | 1, 2, 3, 5, 6, 9 |\n| 5 | 0, 1, 1, 2, 3, 7 |\n| 6 | 2, 2, 6, 9 |\n| 7 | 2, 2, 5, 5, 7 |" } ] }, { "id": "353", "image": "353.png", "conversations": [ { "from": "human", "question": "How much money does Lena need to buy 9 fishing poles?\n" }, { "from": "gpt", "solution": "Find the total cost of 9 fishing poles by multiplying 9 times the price of a fishing pole.\n\n$12.14 × 9 = $109.26\n\nLena needs $109.26.", "answer": "109.26", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| volleyball net | $21.91 |\n| baseball bat | $26.91 |\n| fishing pole | $12.14 |\n| swimsuit | $19.60 |\n| football | $11.01 |\n| hockey stick | $69.42 |" } ] }, { "id": "355", "image": "355.png", "conversations": [ { "from": "human", "question": "Each drawer in the dresser has 10 blouses. How many blouses are in 4 drawers?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 40 blouses in 4 drawers.", "answer": "40", "table": "| Number of drawers | Number of blouses |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | ? |" } ] }, { "id": "356", "image": "356.png", "conversations": [ { "from": "human", "question": "Each shopping bag has 2 CDs. How many CDs are in 3 shopping bags?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 6 CDs in 3 shopping bags.", "answer": "6", "table": "| Number of shopping bags | Number of CDs |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | ? |" } ] }, { "id": "365", "image": "365.png", "conversations": [ { "from": "human", "question": "Look at this table. Is this relation a function?\n" }, { "from": "gpt", "solution": "Look at the x-values in the table.\n\nThe x-value 12 is paired with multiple y-values, so the relation is not a function.", "answer": "no", "table": "| x | y |\n| --- | --- |\n| 12 | 7 |\n| 20 | 16 |\n| 12 | 14 |\n| 11 | 19 |" } ] }, { "id": "375", "image": "375.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $1,020, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $1,020, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $940 | 21,200 | 12,700 |\n| $980 | 20,000 | 13,500 |\n| $1,020 | 18,800 | 14,300 |\n| $1,060 | 17,600 | 15,100 |\n| $1,100 | 16,400 | 15,900 |" } ] }, { "id": "377", "image": "377.png", "conversations": [ { "from": "human", "question": "A hardware store monitored how many hammers it sold in the past 7 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n37, 37, 37, 38, 40, 36, 37\n\nFirst, find the greatest number. The greatest number is 40.\n\nNext, find the least number. The least number is 36.\n\nSubtract the least number from the greatest number:\n\n40 − 36 = 4\n\nThe range is 4.", "answer": "4", "table": "**Hammers sold**\n\n| Day | Number of hammers |\n| --- | --- |\n| Friday | 37 |\n| Saturday | 37 |\n| Sunday | 37 |\n| Monday | 38 |\n| Tuesday | 40 |\n| Wednesday | 36 |\n| Thursday | 37 |" } ] }, { "id": "385", "image": "385.png", "conversations": [ { "from": "human", "question": "A philanthropic organization compared the amounts of money that its members donated to certain causes. How much more money did Eve donate to clean water than Eli?\n" }, { "from": "gpt", "solution": "Find the Clean water column. Find the numbers in this column for Eve and Eli.\n\nEve: $15.00\nEli: $5.00\n\nNow subtract:\n\n$15.00 − $5.00 = $10.00\n\nEve donated $10 more to clean water than Eli.", "answer": "10", "table": "**Donations**\n\n| Person | Animal rights | Clean water |\n| --- | --- | --- |\n| Eve | $4 | $15 |\n| Eli | $12 | $5 |\n| Bridgette | $9 | $11 |\n| Kamal | $18 | $11 |\n| Janelle | $13 | $13 |" } ] }, { "id": "386", "image": "386.png", "conversations": [ { "from": "human", "question": "Wesley counted the number of desks in each classroom at his school. How many classrooms have exactly 39 desks?\n" }, { "from": "gpt", "solution": "For the number 39, the stem is 3, and the leaf is 9. Find the row where the stem is 3. In that row, count all the leaves equal to 9.\n\nYou counted 0 leaves. 0 classrooms have exactly 39 desks.", "answer": "0", "table": "**Desks per classroom**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 1 |\n| 2 | 2, 3, 3, 7, 8 |\n| 3 | 7 |\n| 4 | 0, 2, 3, 5, 8 |" } ] }, { "id": "392", "image": "392.png", "conversations": [ { "from": "human", "question": "Mrs. Dorsey told students how many rounds to expect in the spelling bee based on previous years. According to the table, what was the rate of change between 2011 and 2012?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{14 rounds - 11 rounds}{2012 - 2011}\n = \\frac{14 rounds - 11 rounds}{1 year}\n = \\frac{3 rounds}{1 year}\n = 3 rounds per year\nThe rate of change between 2011 and 2012 was 3 rounds per year.", "answer": "3", "table": "**Rounds in the spelling bee**\n\n| Year | Rounds |\n| --- | --- |\n| 2008 | 13 |\n| 2009 | 12 |\n| 2010 | 12 |\n| 2011 | 11 |\n| 2012 | 14 |" } ] }, { "id": "394", "image": "394.png", "conversations": [ { "from": "human", "question": "A concession stand worker at the movie theater looked up how many bags of popcorn were sold in the past 4 days. On which day did the movie theater sell the fewest bags of popcorn?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 836.\n\nNow find the corresponding day. Wednesday corresponds to 836.", "answer": "Wednesday", "table": "**Bags of popcorn sold**\n\n| Day | Number of bags of popcorn |\n| --- | --- |\n| Tuesday | 881 |\n| Wednesday | 836 |\n| Thursday | 863 |\n| Friday | 869 |" } ] }, { "id": "396", "image": "396.png", "conversations": [ { "from": "human", "question": "Sam has $27.00. Does he have enough to buy a dog calendar and a math book?\n" }, { "from": "gpt", "solution": "Add the price of a dog calendar and the price of a math book:\n\n$11.22 + $16.84 = $28.06\n\n$28.06 is more than $27.00. Sam does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| math book | $16.84 |\n| dog calendar | $11.22 |\n| dictionary | $10.10 |\n| atlas | $49.12 |" } ] }, { "id": "400", "image": "400.png", "conversations": [ { "from": "human", "question": "A Girl Scout troop recorded how many boxes of cookies they sold each day for a week. According to the table, what was the rate of change between Monday and Tuesday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{29 boxes - 20 boxes}{1 day}\n = \\frac{9 boxes}{1 day}\n = 9 boxes per day\nThe rate of change between Monday and Tuesday was 9 boxes per day.", "answer": "9", "table": "**Boxes of Girl Scout cookies sold**\n\n| Day | Boxes of cookies |\n| --- | --- |\n| Monday | 20 |\n| Tuesday | 29 |\n| Wednesday | 26 |\n| Thursday | 26 |\n| Friday | 21 |" } ] }, { "id": "405", "image": "405.png", "conversations": [ { "from": "human", "question": "What is the total cost for 1 pound of licorice and 5 pounds of lemon sours?\n" }, { "from": "gpt", "solution": "Find the cost of the licorice. Multiply:\n\n$4 × 1 = $4\n\nFind the cost of the lemon sours. Multiply:\n\n$2 × 5 = $10\n\nNow find the total cost by adding:\n\n$4 + $10 = $14\n\nThe total cost is $14.", "answer": "14", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| chocolate-covered raisins | $2 per pound |\n| licorice | $4 per pound |\n| lemon sours | $2 per pound |\n| chocolates | $2 per pound |" } ] }, { "id": "412", "image": "412.png", "conversations": [ { "from": "human", "question": "A video store clerk looked up the number of movies checked out each day. On which day were the most movies checked out?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 68.\n\nNow find the corresponding day. Friday corresponds to 68.", "answer": "Friday", "table": "**Movies checked out**\n\n| Day | Number of movies |\n| --- | --- |\n| Wednesday | 61 |\n| Thursday | 62 |\n| Friday | 68 |\n| Saturday | 64 |" } ] }, { "id": "416", "image": "416.png", "conversations": [ { "from": "human", "question": "Vijay has $9.00. Does he have enough to buy a book about music and a book about hiking?\n" }, { "from": "gpt", "solution": "Add the price of a book about music and the price of a book about hiking:\n\n$2.00 + $9.00 = $11.00\n\n$11.00 is more than $9.00. Vijay does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| book about hiking | $9.00 |\n| book about outer space | $2.00 |\n| book about animals | $5.00 |\n| book about music | $2.00 |" } ] }, { "id": "418", "image": "418.png", "conversations": [ { "from": "human", "question": "A stock broker followed the stock prices of a certain set of companies. How much more did Computer Data Company's stock cost on Wednesday than on Thursday?\n" }, { "from": "gpt", "solution": "Find the Computer Data Company row. Find the numbers in this row for Wednesday and Thursday.\n\nWednesday: $17.00\nThursday: $9.00\n\nNow subtract:\n\n$17.00 − $9.00 = $8.00\n\nComputer Data Company's stock cost $8 more on Wednesday than on Thursday.", "answer": "8", "table": "**Stock prices**\n\n| Company | Wednesday | Thursday |\n| --- | --- | --- |\n| Houston Sporting Goods | $1 | $17 |\n| Computer Data Company | $17 | $9 |\n| Watson and Partners | $20 | $19 |" } ] }, { "id": "430", "image": "430.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $945, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $945, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $855 | 23,200 | 1,900 |\n| $945 | 22,300 | 4,600 |\n| $1,035 | 21,400 | 7,300 |\n| $1,125 | 20,500 | 10,000 |\n| $1,215 | 19,600 | 12,700 |" } ] }, { "id": "432", "image": "432.png", "conversations": [ { "from": "human", "question": "Xavier has $1,416.00. Does he have enough to buy a Jamaican vacation package and a European vacation package?\n" }, { "from": "gpt", "solution": "Add the price of a Jamaican vacation package and the price of a European vacation package:\n\n$875.00 + $514.00 = $1,389.00\n\n$1,389.00 is less than $1,416.00. Xavier does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| European vacation package | $514.00 |\n| Australian vacation package | $503.00 |\n| Hawaiian vacation package | $569.00 |\n| Caribbean vacation package | $576.00 |\n| Jamaican vacation package | $875.00 |" } ] }, { "id": "437", "image": "437.png", "conversations": [ { "from": "human", "question": "Mr. Griffith recorded the scores of his students on the most recent math quiz. How many students scored 8?\n" }, { "from": "gpt", "solution": "Find the row for 8 and read the frequency. The frequency is 1.\n\n1 student scored 8.", "answer": "1", "table": "**Scores on the math quiz**\n\n| Score | Frequency |\n| --- | --- |\n| 5 | 11 |\n| 6 | 7 |\n| 7 | 4 |\n| 8 | 1 |\n| 9 | 10 |\n| 10 | 3 |" } ] }, { "id": "442", "image": "442.png", "conversations": [ { "from": "human", "question": "Dominic has $8. Does he have enough to buy a dog leash and a bag of cat treats?\n" }, { "from": "gpt", "solution": "Add the price of a dog leash and the price of a bag of cat treats:\n\n$5 + $4 = $9\n\n$9 is more than $8. Dominic does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| box of dog biscuits | $3 |\n| dog bowl | $3 |\n| bag of birdseed | $8 |\n| dog leash | $5 |\n| bag of cat treats | $4 |" } ] }, { "id": "449", "image": "449.png", "conversations": [ { "from": "human", "question": "Clarksville Flooring tracked the number of broken tiles in each shipment it received last year. How many shipments had at least 53 broken tiles?\n" }, { "from": "gpt", "solution": "Find the row with stem 5. Count all the leaves greater than or equal to 3.\n\nCount all the leaves in the rows with stems 6 and 7.\n\nYou counted 8 leaves, which are blue in the stem-and-leaf plots above. 8 shipments had at least 53 broken tiles.", "answer": "8", "table": "**Broken tiles per shipment**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 9 |\n| 3 | 1, 6, 8, 9 |\n| 4 | 1, 2, 3, 7, 9, 9 |\n| 5 | 0 |\n| 6 | 1, 1, 3, 5, 6 |\n| 7 | 0, 6, 8 |" } ] }, { "id": "452", "image": "452.png", "conversations": [ { "from": "human", "question": "A pair of Scott High School hockey fans counted the number of games won by the school each year. According to the table, what was the rate of change between 2012 and 2013?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{19 games - 1 game}{2013 - 2012}\n = \\frac{19 games - 1 game}{1 year}\n = \\frac{18 games}{1 year}\n = 18 games per year\nThe rate of change between 2012 and 2013 was 18 games per year.", "answer": "18", "table": "**Hockey games won by Scott High**\n\n| Year | Games won |\n| --- | --- |\n| 2012 | 1 |\n| 2013 | 19 |\n| 2014 | 2 |\n| 2015 | 14 |\n| 2016 | 15 |" } ] }, { "id": "453", "image": "453.png", "conversations": [ { "from": "human", "question": "If Samuel buys 5 pounds of smoked bacon, 5 pounds of pepperoni, and 1 pound of salami, how much will he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the smoked bacon. Multiply:\n\n$3 × 5 = $15\n\nFind the cost of the pepperoni. Multiply:\n\n$4 × 5 = $20\n\nFind the cost of the salami. Multiply:\n\n$6 × 1 = $6\n\nNow find the total cost by adding:\n\n$15 + $20 + $6 = $41\n\nHe will spend $41.", "answer": "41", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| Canadian bacon | $6/lb |\n| pepperoni | $4/lb |\n| prosciutto | $4/lb |\n| salami | $6/lb |\n| smoked bacon | $3/lb |" } ] }, { "id": "455", "image": "455.png", "conversations": [ { "from": "human", "question": "Some friends compared the sizes of their sticker collections. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 9, 8, 9, 8, 7\n\nFirst, arrange the numbers from least to greatest:\n\n7, 8, 8, 9, 9, 9\n\nNow count how many times each number appears.\n\n7 appears 1 time.\n8 appears 2 times.\n9 appears 3 times.\n\nThe number that appears most often is 9.\n\nThe mode is 9.", "answer": "9", "table": "**Sticker collections**\n\n| Name | Number of stickers |\n| --- | --- |\n| Erik | 9 |\n| Harper | 9 |\n| Andy | 8 |\n| Linda | 9 |\n| Kristen | 8 |\n| Travis | 7 |" } ] }, { "id": "458", "image": "458.png", "conversations": [ { "from": "human", "question": "How much more does an apple tart cost than a cherry pie?\n" }, { "from": "gpt", "solution": "Subtract the price of a cherry pie from the price of an apple tart.\n\n$19 - $12 = $7\n\nAn apple tart costs $7 more than a cherry pie.", "answer": "7", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| cherry pie | $12 |\n| apple tart | $19 |\n| carrot cake | $11 |\n| chocolate cake | $21 |" } ] }, { "id": "460", "image": "460.png", "conversations": [ { "from": "human", "question": "A philanthropic organization compared the amounts of money that its members donated to certain causes. How much did Tamir donate to clean water?\n" }, { "from": "gpt", "solution": "First, find the row for Tamir. Then find the number in the Clean water column.\n\nThis number is $3.00. Tamir donated $3 to clean water.", "answer": "3", "table": "**Donations**\n\n| Person | Clean water | Cancer research |\n| --- | --- | --- |\n| Brendan | $15 | $13 |\n| Tamir | $3 | $6 |\n| Tony | $4 | $19 |\n| Derek | $8 | $20 |\n| Kyle | $10 | $17 |" } ] }, { "id": "462", "image": "462.png", "conversations": [ { "from": "human", "question": "Brenda purchased 1.1 pounds of coarse gravel. What was the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the coarse gravel. Multiply the price per pound by the number of pounds.\n$3 × 1.1 = $3.30\nThe total cost was $3.30.", "answer": "3.30", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| fine gravel | $2 per lb |\n| pebbles | $3 per lb |\n| black sand | $3 per lb |\n| rocks | $3 per lb |\n| coarse gravel | $3 per lb |\n| white sand | $5 per lb |" } ] }, { "id": "488", "image": "488.png", "conversations": [ { "from": "human", "question": "Shelley went to the store and bought 1 pound of shrimp. How much did she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the shrimp. Multiply the price per pound by the number of pounds.\n\n$4.54 × 1 = $4.54\n\nShe spent $4.54.", "answer": "4.54", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| lobster meat | $6.90/pound |\n| mussels | $6.71/pound |\n| crab meat | $3.66/pound |\n| scallops | $3.18/pound |\n| oysters | $6.66/pound |\n| shrimp | $4.54/pound |" } ] }, { "id": "493", "image": "493.png", "conversations": [ { "from": "human", "question": "The architecture student counted the number of bricks in each building in his neighborhood. What is the smallest number of bricks?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 5.\n\nNow find the lowest leaf in the first row. The lowest leaf is 8.\n\nThe smallest number of bricks has a stem of 5 and a leaf of 8. Write the stem first, then the leaf: 58.\n\nThe smallest number of bricks is 58 bricks.", "answer": "58", "table": "**Bricks per building**\n\n| Stem | Leaf |\n| --- | --- |\n| 5 | 8 |\n| 6 | 2 |\n| 7 | 2, 7 |\n| 8 | 0, 1, 1, 4, 5, 7 |\n| 9 | 0 |" } ] }, { "id": "497", "image": "497.png", "conversations": [ { "from": "human", "question": "A fashion magazine poll asks how many winter hats each reader owns. How many readers are there in all?\n" }, { "from": "gpt", "solution": "Add the frequencies for each row.\n\nAdd:\n\n10 + 16 + 13 + 4 + 20 + 1 = 64\n\nThere are 64 readers in all.", "answer": "64", "table": "**Winter hats**\n\n| Number of winter hats | Frequency |\n| --- | --- |\n| 0 | 10 |\n| 1 | 16 |\n| 2 | 13 |\n| 3 | 4 |\n| 4 | 20 |\n| 5 | 1 |" } ] }, { "id": "499", "image": "499.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $1,420, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $1,420, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $970 | 16,500 | 2,300 |\n| $1,120 | 14,000 | 6,800 |\n| $1,270 | 11,500 | 11,300 |\n| $1,420 | 9,000 | 15,800 |\n| $1,570 | 6,500 | 20,300 |" } ] }, { "id": "500", "image": "500.png", "conversations": [ { "from": "human", "question": "Some friends played miniature golf and wrote down their scores. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n27, 28, 32, 27, 28, 28, 26\n\nFirst, arrange the numbers from least to greatest:\n\n26, 27, 27, 28, 28, 28, 32\n\nNow find the number in the middle.\n\n26, 27, 27, 28, 28, 28, 32\n\nThe number in the middle is 28.\n\nThe median is 28.", "answer": "28", "table": "**Miniature golf scores**\n\n| Name | Score |\n| --- | --- |\n| Dakota | 27 |\n| Neil | 28 |\n| Tiana | 32 |\n| Craig | 27 |\n| Mia | 28 |\n| Hazel | 28 |\n| Lauren | 26 |" } ] }, { "id": "505", "image": "505.png", "conversations": [ { "from": "human", "question": "Molly figured out the scores at the end of a card game. How many people scored less than 9?\n" }, { "from": "gpt", "solution": "Find the rows for 4, 5, 6, 7, and 8. Add the frequencies for these rows.\n\nAdd:\n\n19 + 2 + 7 + 8 + 17 = 53\n\n53 people scored less than 9.", "answer": "53", "table": "**Scores in a card game**\n\n| Score | Frequency |\n| --- | --- |\n| 4 | 19 |\n| 5 | 2 |\n| 6 | 7 |\n| 7 | 8 |\n| 8 | 17 |\n| 9 | 12 |\n| 10 | 16 |" } ] }, { "id": "506", "image": "506.png", "conversations": [ { "from": "human", "question": "A researcher working for a cereal company surveyed people about their cereal consumption habits. How many people ate cereal fewer than 4 times?\n" }, { "from": "gpt", "solution": "Find the rows for 0, 1, 2, and 3 times. Add the frequencies for these rows.\n\nAdd:\n\n3 + 14 + 16 + 11 = 44\n\n44 people ate cereal fewer than 4 times.", "answer": "44", "table": "**Eating cereal last week**\n\n| Times eaten | Frequency |\n| --- | --- |\n| 0 | 3 |\n| 1 | 14 |\n| 2 | 16 |\n| 3 | 11 |\n| 4 | 5 |\n| 5 | 15 |\n| 6 | 12 |" } ] }, { "id": "512", "image": "512.png", "conversations": [ { "from": "human", "question": "How much money does Mandy need to buy a piece of plastic pipe and a light bulb?\n" }, { "from": "gpt", "solution": "Add the price of a piece of plastic pipe and the price of a light bulb:\n\n$0.52 + $0.61 = $1.13\n\nMandy needs $1.13.", "answer": "1.13", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| red thumbtack | $0.12 |\n| piece of plastic pipe | $0.52 |\n| small metal hook | $0.46 |\n| ball of twine | $0.30 |\n| piece of rope | $0.91 |\n| light bulb | $0.61 |" } ] }, { "id": "514", "image": "514.png", "conversations": [ { "from": "human", "question": "Lena, who rents properties for a living, measures all the offices in a building she is renting. How many offices are exactly 30 square meters?\n" }, { "from": "gpt", "solution": "For the number 30, the stem is 3, and the leaf is 0. Find the row where the stem is 3. In that row, count all the leaves equal to 0.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 offices are exactly 30 square meters.", "answer": "2", "table": "**Office sizes (square meters)**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 3, 7, 8 |\n| 3 | 0, 0, 5, 7 |\n| 4 | 0, 1, 4, 9 |\n| 5 | 5, 8, 9 |\n| 6 | 4, 8, 9 |\n| 7 | 9 |\n| 8 | 5, 6, 8 |\n| 9 | 0 |" } ] }, { "id": "516", "image": "516.png", "conversations": [ { "from": "human", "question": "Darnell counted the number of words per page in his new book. How many pages have fewer than 92 words?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 5, 6, 7, and 8.\n\nIn the row with stem 9, count all the leaves less than 2.\n\nYou counted 8 leaves, which are blue in the stem-and-leaf plots above. 8 pages have fewer than 92 words.", "answer": "8", "table": "**Words per page**\n\n| Stem | Leaf |\n| --- | --- |\n| 5 | 9, 9 |\n| 6 | 4, 8 |\n| 7 | 2, 6, 6 |\n| 8 | |\n| 9 | 0 |" } ] }, { "id": "518", "image": "518.png", "conversations": [ { "from": "human", "question": "Debbie has $1.50. Does she have enough to buy a package of dental floss and a barrette?\n" }, { "from": "gpt", "solution": "Add the price of a package of dental floss and the price of a barrette:\n\n$0.78 + $0.58 = $1.36\n\n$1.36 is less than $1.50. Debbie does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| tube of toothpaste | $0.92 |\n| sewing kit | $0.91 |\n| barrette | $0.58 |\n| lip balm | $0.91 |\n| package of dental floss | $0.78 |" } ] }, { "id": "519", "image": "519.png", "conversations": [ { "from": "human", "question": "Five of the sports teams from Cedarburg High School decided to raise funds to buy new sports equipment. What fraction of the funds were raised by the track team? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how much money was raised by the track.\n\n640\n\nFind how much money were raised in total.\n\n950 + 730 + 780 + 640 + 790 = 3,890\n\nDivide 640 by 3,890.\n\n\\frac{640}{3,890}\n\nReduce the fraction.\n\n\\frac{640}{3,890} → \\frac{64}{389}\n\n\\frac{64}{389} of Find how much money was raised by the track.", "answer": "64/389", "table": "**Sports equipment fundraising**\n\n| Team | Funds raised ($) |\n| --- | --- |\n| Football | 950 |\n| Water polo | 730 |\n| Soccer | 780 |\n| Track | 640 |\n| Basketball | 790 |" } ] }, { "id": "528", "image": "528.png", "conversations": [ { "from": "human", "question": "How much money does Nathan need to buy 7 rakes and 3 hammers?\n" }, { "from": "gpt", "solution": "Find the cost of 7 rakes.\n\n$22 × 7 = $154\n\nFind the cost of 3 hammers.\n\n$23 × 3 = $69\n\nNow find the total cost.\n\n$154 + $69 = $223\n\nNathan needs $223.", "answer": "223", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| lawn mower | $52 |\n| hammer | $23 |\n| wrench | $11 |\n| measuring tape | $10 |\n| shovel | $13 |\n| rake | $22 |" } ] }, { "id": "529", "image": "529.png", "conversations": [ { "from": "human", "question": "Jordan has two dogs, Sprinkles and Champ. He is concerned because Sprinkles keeps eating Champ's food. Jordan asks their vet how much each dog's weight has changed since their last visit. Which dog's weight has changed the most?\n" }, { "from": "gpt", "solution": "To find which dog's weight changed the most, use absolute value. Absolute value tells you how much each dog's weight has changed.\nSprinkles: |5| = 5\nChamp: |-6| = 6\nChamp's weight has changed the most. He has lost 6 ounces.", "answer": "Champ", "table": "| Dog | Weight change (oz.) |\n| --- | --- |\n| Sprinkles | 5 |\n| Champ | -6 |" } ] }, { "id": "535", "image": "535.png", "conversations": [ { "from": "human", "question": "Principal Navarro reported the state test scores from some students at her school. How many students scored at least 45 points but fewer than 59 points?\n" }, { "from": "gpt", "solution": "Find the row with stem 4. Count all the leaves greater than or equal to 5.\n\nIn the row with stem 5, count all the leaves less than 9.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plots above. 4 students scored at least 45 points but fewer than 59 points.", "answer": "4", "table": "**Test scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 0 |\n| 3 | 4 |\n| 4 | 0, 3, 6 |\n| 5 | 1, 1, 5 |\n| 6 | 0, 4 |" } ] }, { "id": "536", "image": "536.png", "conversations": [ { "from": "human", "question": "Rafi graphed the amount of snow that fell in the last 7 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n1, 7, 8, 4, 7, 3, 1\n\nFirst, arrange the numbers from least to greatest:\n\n1, 1, 3, 4, 7, 7, 8\n\nNow find the number in the middle.\n\n1, 1, 3, 4, 7, 7, 8\n\nThe number in the middle is 4.\n\nThe median is 4.", "answer": "4", "table": "**Daily snowfall**\n\n| Day | Snowfall (inches) |\n| --- | --- |\n| Friday | 1 |\n| Saturday | 7 |\n| Sunday | 8 |\n| Monday | 4 |\n| Tuesday | 7 |\n| Wednesday | 3 |\n| Thursday | 1 |" } ] }, { "id": "541", "image": "541.png", "conversations": [ { "from": "human", "question": "As part of a food drive, four friends collected canned food. What fraction of the cans were collected by Tracy? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many cans were collected by Tracy.\n\n620\n\nFind how many cans were collected in total.\n\n890 + 620 + 610 + 650 = 2,770\n\nDivide 620 by2,770.\n\n\\frac{620}{2,770}\n\nReduce the fraction.\n\n\\frac{620}{2,770} → \\frac{62}{277}\n\n\\frac{62}{277} of cans were collected by Tracy.", "answer": "62/277", "table": "**Cans of food collected**\n\n| Name | Number of cans of food |\n| --- | --- |\n| Max | 890 |\n| Tracy | 620 |\n| Felix | 610 |\n| Angie | 650 |" } ] }, { "id": "552", "image": "552.png", "conversations": [ { "from": "human", "question": "Dr. Wilkinson, a pediatrician, weighed all the children who recently visited her office. How many children weighed at least 50 pounds?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 5, 6, 7, and 8.\n\nYou counted 5 leaves, which are blue in the stem-and-leaf plot above. 5 children weighed at least 50 pounds.", "answer": "5", "table": "**Children's weights (lbs)**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 8 |\n| 3 | 1, 7 |\n| 4 | |\n| 5 | 5 |\n| 6 | 7 |\n| 7 | 1, 8 |\n| 8 | 0 |" } ] }, { "id": "559", "image": "559.png", "conversations": [ { "from": "human", "question": "Look at this table. Is this relation a function?\n" }, { "from": "gpt", "solution": "Look at the x-values in the table.\n\nThe x-value 6 is paired with multiple y-values, so the relation is not a function.", "answer": "no", "table": "| x | y |\n| --- | --- |\n| 6 | 2 |\n| 6 | 19 |\n| 2 | 11 |" } ] }, { "id": "564", "image": "564.png", "conversations": [ { "from": "human", "question": "How much more does a mountain postcard cost than a rose stamp?\n" }, { "from": "gpt", "solution": "Subtract the price of a rose stamp from the price of a mountain postcard.\n\n$0.51 - $0.30 = $0.21\n\nA mountain postcard costs $0.21 more than a rose stamp.", "answer": "0.21", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| large yellow envelope | $0.17 |\n| small red box | $0.65 |\n| sheet of animal stamps | $0.50 |\n| mountain postcard | $0.51 |\n| rose stamp | $0.30 |" } ] }, { "id": "568", "image": "568.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. How long does it take to get from Kite Coast to Starfish Point?\n" }, { "from": "gpt", "solution": "Read the times in the first column for Kite Coast and Starfish Point.\n\nFind the elapsed time between 9:30 A. M. and 1:45 P. M. The elapsed time is 4 hours and 15 minutes.\n\nNo matter which column of times you look at, the elapsed time is always 4 hours and 15 minutes.", "answer": "4 hours and 15 minutes", "table": "**Tour boat schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 | Column 5 |\n| --- | --- | --- | --- | --- |\n| Rocky Cliffs | 7:45 A.M. | 8:30 A.M. | 8:45 A.M. | 9:15 A.M. |\n| Kite Coast | 9:30 A.M. | 10:15 A.M. | 10:30 A.M. | 11:00 A.M. |\n| The Boardwalk | 11:15 A.M. | 12:00 P.M. | 12:15 P.M. | 12:45 P.M. |\n| Ocean City | 12:45 P.M. | 1:30 P.M. | 1:45 P.M. | 2:15 P.M. |\n| Starfish Point | 1:45 P.M. | 2:30 P.M. | 2:45 P.M. | 3:15 P.M. |" } ] }, { "id": "571", "image": "571.png", "conversations": [ { "from": "human", "question": "How much money does Valentina need to buy 9 erasers?\n" }, { "from": "gpt", "solution": "Find the total cost of 9 erasers by multiplying 9 times the price of an eraser.\n\n$1.09 × 9 = $9.81\n\nValentina needs $9.81.", "answer": "9.81", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| box of markers | $3.26 |\n| eraser | $1.09 |\n| rubber stamp | $2.62 |\n| box of paper clips | $1.00 |" } ] }, { "id": "574", "image": "574.png", "conversations": [ { "from": "human", "question": "Each farm has 2 cows. How many cows are on 3 farms?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 6 cows on 3 farms.", "answer": "6", "table": "| Number of farms | Number of cows |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | ? |" } ] }, { "id": "576", "image": "576.png", "conversations": [ { "from": "human", "question": "If Mia buys 1 pound of metal beads and 2 pounds of crystal beads, how much will she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the metal beads. Multiply:\n\n$7 × 1 = $7\n\nFind the cost of the crystal beads. Multiply:\n\n$7 × 2 = $14\n\nNow find the total cost by adding:\n\n$7 + $14 = $21\n\nShe will spend $21.", "answer": "21", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| crystal beads | $7 per pound |\n| metal beads | $7 per pound |\n| ceramic beads | $11 per pound |\n| paper beads | $6 per pound |" } ] }, { "id": "577", "image": "577.png", "conversations": [ { "from": "human", "question": "Bridget earns money for doing chores at home. She kept track of the chores she did in March in this frequency chart. If Bridget earns $2 each time she folds laundry, how much money did she earn for folding laundry in March?\n" }, { "from": "gpt", "solution": "The frequencies tell you how many times Bridget did each chore. Start by finding how many times she folded laundry.\nBridget folded laundry 9 times, and she earned $2 each time. Multiply.\n9 × $2 = $18\nBridget earned $18 for folding laundry.", "answer": "18", "table": "**March chore chart**\n\n| Chore | Frequency |\n| --- | --- |\n| washing dishes | 16 |\n| folding laundry | 9 |\n| vacuuming | 13 |" } ] }, { "id": "584", "image": "584.png", "conversations": [ { "from": "human", "question": "A school administrator who was concerned about grade inflation looked over the number of straight-A students from year to year. According to the table, what was the rate of change between 2007 and 2008?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{45 students - 41 students}{2008 - 2007}\n = \\frac{45 students - 41 students}{1 year}\n = \\frac{4 students}{1 year}\n = 4 students per year\nThe rate of change between 2007 and 2008 was 4 students per year.", "answer": "4", "table": "**Straight-A students**\n\n| Year | Students |\n| --- | --- |\n| 2007 | 41 |\n| 2008 | 45 |\n| 2009 | 43 |\n| 2010 | 44 |\n| 2011 | 49 |" } ] }, { "id": "585", "image": "585.png", "conversations": [ { "from": "human", "question": "Stacy looked at the dates of the digital photos on her computer to find out how many she had taken in the past 4 days. On which day did Stacy take the fewest photographs?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 41.\n\nNow find the corresponding day. Wednesday corresponds to 41.", "answer": "Wednesday", "table": "**Photographs taken**\n\n| Day | Number of photographs |\n| --- | --- |\n| Wednesday | 41 |\n| Thursday | 49 |\n| Friday | 47 |\n| Saturday | 46 |" } ] }, { "id": "594", "image": "594.png", "conversations": [ { "from": "human", "question": "How much money does Maria need to buy a birthday candle and a kazoo?\n" }, { "from": "gpt", "solution": "Add the price of a birthday candle and the price of a kazoo:\n\n$0.76 + $0.81 = $1.57\n\nMaria needs $1.57.", "answer": "1.57", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| kazoo | $0.81 |\n| party hat | $0.20 |\n| birthday candle | $0.76 |\n| red balloon | $0.17 |" } ] }, { "id": "603", "image": "603.png", "conversations": [ { "from": "human", "question": "Neil jotted down how many baskets he made during basketball practice each day. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 4, 5, 9, 3, 5, 8\n\nFirst, find the greatest number. The greatest number is 9.\n\nNext, find the least number. The least number is 3.\n\nSubtract the least number from the greatest number:\n\n9 − 3 = 6\n\nThe range is 6.", "answer": "6", "table": "**Baskets made**\n\n| Day | Number of baskets |\n| --- | --- |\n| Sunday | 6 |\n| Monday | 4 |\n| Tuesday | 5 |\n| Wednesday | 9 |\n| Thursday | 3 |\n| Friday | 5 |\n| Saturday | 8 |" } ] }, { "id": "604", "image": "604.png", "conversations": [ { "from": "human", "question": "How much money does Philip need to buy 6 teapots and 2 casserole dishes?\n" }, { "from": "gpt", "solution": "Find the cost of 6 teapots.\n\n$38 × 6 = $228\n\nFind the cost of 2 casserole dishes.\n\n$20 × 2 = $40\n\nNow find the total cost.\n\n$228 + $40 = $268\n\nPhilip needs $268.", "answer": "268", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| teapot | $38 |\n| cookbook | $19 |\n| apron | $20 |\n| baking dish | $14 |\n| casserole dish | $20 |" } ] }, { "id": "607", "image": "607.png", "conversations": [ { "from": "human", "question": "How much more does a designer handbag cost than a pair of designer shoes?\n" }, { "from": "gpt", "solution": "Subtract the price of a pair of designer shoes from the price of a designer handbag.\n\n$534 - $387 = $147\n\nA designer handbag costs $147 more than a pair of designer shoes.", "answer": "147", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pair of designer shoes | $387 |\n| designer coat | $563 |\n| pair of designer boots | $548 |\n| designer handbag | $534 |" } ] }, { "id": "609", "image": "609.png", "conversations": [ { "from": "human", "question": "Caleb has $127.92. How much money will Caleb have left if he buys a baseball ticket and a basketball ticket?\n" }, { "from": "gpt", "solution": "Find the total cost of a baseball ticket and a basketball ticket.\n\n$10.57 + $36.66 = $47.23\n\nNow subtract the total cost from the starting amount.\n\n$127.92 - $47.23 = $80.69\n\nCaleb will have $80.69 left.", "answer": "80.69", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| golf ticket | $59.92 |\n| football ticket | $95.00 |\n| baseball ticket | $10.57 |\n| basketball ticket | $36.66 |\n| soccer ticket | $73.21 |" } ] }, { "id": "610", "image": "610.png", "conversations": [ { "from": "human", "question": "To get credit for meeting his school's community service requirement, Josiah kept a volunteering log. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n2, 8, 9, 4, 8, 4, 3\n\nFirst, arrange the numbers from least to greatest:\n\n2, 3, 4, 4, 8, 8, 9\n\nNow find the number in the middle.\n\n2, 3, 4, 4, 8, 8, 9\n\nThe number in the middle is 4.\n\nThe median is 4.", "answer": "4", "table": "**Hours spent volunteering**\n\n| Day | Hours |\n| --- | --- |\n| Saturday | 2 |\n| Sunday | 8 |\n| Monday | 9 |\n| Tuesday | 4 |\n| Wednesday | 8 |\n| Thursday | 4 |\n| Friday | 3 |" } ] }, { "id": "615", "image": "615.png", "conversations": [ { "from": "human", "question": "How much money does Zach need to buy a poetry book, a math book, and a history book?\n" }, { "from": "gpt", "solution": "Find the total cost of a poetry book, a math book, and a history book.\n\n$7 + $1 + $1 = $9\n\nZach needs $9.", "answer": "9", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| poetry book | $7 |\n| crossword puzzle book | $1 |\n| math book | $1 |\n| mystery novel | $8 |\n| textbook | $2 |\n| history book | $1 |" } ] }, { "id": "619", "image": "619.png", "conversations": [ { "from": "human", "question": "A food industry researcher compiled the revenues of several pizzerias. How much more did Pizza Italia make from pepperoni pizza sales than from supreme pizza sales?\n" }, { "from": "gpt", "solution": "Find the Pizza Italia row. Find the numbers in this row for pepperoni pizzas and supreme pizzas.\n\npepperoni pizzas: $16.00\nsupreme pizzas: $14.00\n\nNow subtract:\n\n$16.00 − $14.00 = $2.00\n\nPizza Italia made $2 more from pepperoni pizza sales than from supreme pizza sales.", "answer": "2", "table": "**Pizza sales**\n\n| Restaurant | Pepperoni pizzas | Supreme pizzas |\n| --- | --- | --- |\n| Pizza Italia | $16 | $14 |\n| Pizza, Pasta and More | $5 | $12 |\n| The Real Chicago | $6 | $18 |" } ] }, { "id": "620", "image": "620.png", "conversations": [ { "from": "human", "question": "Emma has $1.72. Does she have enough to buy a hair tie and a comb?\n" }, { "from": "gpt", "solution": "Add the price of a hair tie and the price of a comb:\n\n$0.94 + $0.75 = $1.69\n\n$1.69 is less than $1.72. Emma does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| bar of soap | $0.98 |\n| comb | $0.75 |\n| nail file | $0.51 |\n| hair tie | $0.94 |\n| bottle of hand lotion | $0.93 |" } ] }, { "id": "624", "image": "624.png", "conversations": [ { "from": "human", "question": "A dog show enthusiast recorded the weight of the winning dog at recent dog shows. According to the table, what was the rate of change between 2016 and 2017?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{23 kilograms - 39 kilograms}{2017 - 2016}\n = \\frac{23 kilograms - 39 kilograms}{1 year}\n = \\frac{-16 kilograms}{1 year}\n = -16 kilograms per year\nThe rate of change between 2016 and 2017 was - 16 kilograms per year.", "answer": "-16", "table": "**Weight of winning dog at a dog show**\n\n| Year | Weight (kg) |\n| --- | --- |\n| 2013 | 49 |\n| 2014 | 28 |\n| 2015 | 17 |\n| 2016 | 39 |\n| 2017 | 23 |" } ] }, { "id": "626", "image": "626.png", "conversations": [ { "from": "human", "question": "In a study on public parking, the director of transportation counted the number of cars in each of the city's parking lots. How many parking lots had exactly 44 cars?\n" }, { "from": "gpt", "solution": "For the number 44, the stem is 4, and the leaf is 4. Find the row where the stem is 4. In that row, count all the leaves equal to 4.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 parking lots had exactly 44 cars.", "answer": "4", "table": "**Cars per parking lot**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0 |\n| 2 | |\n| 3 | 0 |\n| 4 | 2, 4, 4, 4, 4 |\n| 5 | |\n| 6 | |\n| 7 | |\n| 8 | 0 |" } ] }, { "id": "644", "image": "644.png", "conversations": [ { "from": "human", "question": "Each shelf has 10 hats. How many hats are on 5 shelves?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 50 hats on 5 shelves.", "answer": "50", "table": "| Number of shelves | Number of hats |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | 40 |\n| 5 | ? |" } ] }, { "id": "647", "image": "647.png", "conversations": [ { "from": "human", "question": "How much money does Daniel need to buy a black jacket and a green sweatshirt?\n" }, { "from": "gpt", "solution": "Add the price of a black jacket and the price of a green sweatshirt:\n\n$26.60 + $17.48 = $44.08\n\nDaniel needs $44.08.", "answer": "44.08", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| winter jacket | $28.25 |\n| denim jacket | $20.85 |\n| green sweatshirt | $17.48 |\n| blue sweater | $16.83 |\n| red sweater | $15.26 |\n| black jacket | $26.60 |" } ] }, { "id": "648", "image": "648.png", "conversations": [ { "from": "human", "question": "Levi measured the length of each scarf in the clothing store where he works. How many scarves are at least 70 centimeters but less than 80 centimeters?\n" }, { "from": "gpt", "solution": "Count all the leaves in the row with stem 7.\n\nYou counted 8 leaves, which are blue in the stem-and-leaf plot above. 8 scarves are at least 70 centimeters but less than 80 centimeters.", "answer": "8", "table": "**Scarf lengths (centimeters)**\n\n| Stem | Leaf |\n| --- | --- |\n| 6 | 9 |\n| 7 | 3, 4, 4, 5, 6, 7, 7, 8 |\n| 8 | 0, 1, 1, 2, 3, 4, 6, 6, 7, 7, 7, 9, 9 |\n| 9 | 0, 0, 0 |" } ] }, { "id": "652", "image": "652.png", "conversations": [ { "from": "human", "question": "For the annual class picnic, each student voted for his or her favorite meal. Did fewer students choose turkey sandwiches or spaghetti for their lunch?\n" }, { "from": "gpt", "solution": "Add the numbers in the Turkey sandwiches row. Then, add the numbers in the Spaghetti row.\n\nturkey sandwiches: 3 + 5 = 8\nspaghetti: 7 + 13 = 20\n\n8 is less than 20. Fewer students chose turkey sandwiches.", "answer": "turkey sandwiches", "table": "**Lunch choices**\n\n| Lunch | Fourth graders | Fifth graders |\n| --- | --- | --- |\n| Spaghetti | 7 | 13 |\n| Egg salad | 12 | 19 |\n| Hot dogs | 10 | 1 |\n| Turkey sandwiches | 3 | 5 |" } ] }, { "id": "655", "image": "655.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{19 - 20}{19 - 18}\n = \\frac{-1}{1}\n = -1\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{12 - 20}{20 - 18}\n = \\frac{-8}{2}\n = -4\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 18 | 20 |\n| 19 | 19 |\n| 20 | 12 |" } ] }, { "id": "658", "image": "658.png", "conversations": [ { "from": "human", "question": "A candy dispenser put various numbers of orange candies into bags. What is the largest number of orange candies?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 8.\n\nNow find the highest leaf in the last row. The highest leaf is 9.\n\nThe largest number of orange candies has a stem of 8 and a leaf of 9. Write the stem first, then the leaf: 89.\n\nThe largest number of orange candies is 89 orange candies.", "answer": "89", "table": "**Orange candies per bag**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 1, 6, 8, 9 |\n| 4 | 8, 8 |\n| 5 | 0, 5, 7, 8 |\n| 6 | 6, 8, 8 |\n| 7 | 1 |\n| 8 | 9 |" } ] }, { "id": "659", "image": "659.png", "conversations": [ { "from": "human", "question": "How much more does a tortoise cost than a ferret?\n" }, { "from": "gpt", "solution": "Subtract the price of a ferret from the price of a tortoise.\n\n$468.00 - $351.00 = $117.00\n\nA tortoise costs $117.00 more than a ferret.", "answer": "117", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| tortoise | $468.00 |\n| ferret | $351.00 |\n| boa constrictor | $274.00 |\n| parrot | $727.00 |" } ] }, { "id": "662", "image": "662.png", "conversations": [ { "from": "human", "question": "Abby's class recorded how many cans of food each student collected for their canned food drive. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 4, 9, 7, 7, 9, 4\n\nFirst, arrange the numbers from least to greatest:\n\n4, 4, 7, 7, 7, 9, 9\n\nNow count how many times each number appears.\n\n4 appears 2 times.\n7 appears 3 times.\n9 appears 2 times.\n\nThe number that appears most often is 7.\n\nThe mode is 7.", "answer": "7", "table": "**Cans of food collected**\n\n| Name | Number of cans of food |\n| --- | --- |\n| Abby | 7 |\n| Eliana | 4 |\n| Isaac | 9 |\n| Zach | 7 |\n| Hunter | 7 |\n| Reba | 9 |\n| Dwayne | 4 |" } ] }, { "id": "665", "image": "665.png", "conversations": [ { "from": "human", "question": "A grocery store monitored how many paper bags were used in the past 5 days. How many more paper bags did the grocery store use on Sunday than on Monday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nSunday: 8,094\nMonday: 1,649\n\nNow subtract: 8,094 - 1,649 = 6,445.\n\nThe grocery store used 6,445 more paper bags on Sunday.", "answer": "6,445", "table": "**Paper bags used**\n\n| Day | Number of paper bags |\n| --- | --- |\n| Friday | 6,569 |\n| Saturday | 3,016 |\n| Sunday | 8,094 |\n| Monday | 1,649 |\n| Tuesday | 4,366 |" } ] }, { "id": "666", "image": "666.png", "conversations": [ { "from": "human", "question": "Mr. Davidson, a P.E. teacher, wrote down how much weight each of his students could lift. How many people lifted exactly 78 pounds?\n" }, { "from": "gpt", "solution": "For the number 78, the stem is 7, and the leaf is 8. Find the row where the stem is 7. In that row, count all the leaves equal to 8.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 people lifted exactly 78 pounds.", "answer": "2", "table": "**Weight lifting results (lbs)**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 3, 9 |\n| 4 | 6, 6, 9 |\n| 5 | 2, 6, 7 |\n| 6 | 4, 5, 5, 7 |\n| 7 | 0, 1, 4, 5, 6, 6, 6, 8, 8 |" } ] }, { "id": "674", "image": "674.png", "conversations": [ { "from": "human", "question": "Gordon has $167.97. How much money will Gordon have left if he buys a bearded dragon and a cockatoo?\n" }, { "from": "gpt", "solution": "Find the total cost of a bearded dragon and a cockatoo.\n\n$37.91 + $41.14 = $79.05\n\nNow subtract the total cost from the starting amount.\n\n$167.97 - $79.05 = $88.92\n\nGordon will have $88.92 left.", "answer": "88.92", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| hedgehog | $68.85 |\n| rabbit | $49.84 |\n| tarantula | $35.97 |\n| bearded dragon | $37.91 |\n| cockatoo | $41.14 |\n| scorpion | $20.72 |" } ] }, { "id": "680", "image": "680.png", "conversations": [ { "from": "human", "question": "How much money does Cole need to buy a glue stick and a bright yellow highlighter?\n" }, { "from": "gpt", "solution": "Add the price of a glue stick and the price of a bright yellow highlighter:\n\n$0.69 + $0.18 = $0.87\n\nCole needs $0.87.", "answer": "0.87", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| package of crayons | $0.82 |\n| glue stick | $0.69 |\n| bright yellow highlighter | $0.18 |\n| thick black marker | $0.13 |" } ] }, { "id": "681", "image": "681.png", "conversations": [ { "from": "human", "question": "How much money does Madelyn need to buy 9 shell necklaces?\n" }, { "from": "gpt", "solution": "Find the total cost of 9 shell necklaces by multiplying 9 times the price of a shell necklace.\n\n$0.43 × 9 = $3.87\n\nMadelyn needs $3.87.", "answer": "3.87", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pin with a picture of the beach | $0.83 |\n| picture of a shark | $0.87 |\n| souvenir cup | $0.79 |\n| shell necklace | $0.43 |\n| dolphin bookmark | $0.90 |" } ] }, { "id": "684", "image": "684.png", "conversations": [ { "from": "human", "question": "Each bin has 10 yellow blocks. How many yellow blocks are in 4 bins?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 40 yellow blocks in 4 bins.", "answer": "40", "table": "| Number of bins | Number of yellow blocks |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | ? |" } ] }, { "id": "690", "image": "690.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $1,110, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $1,110, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $990 | 24,400 | 4,100 |\n| $1,110 | 24,300 | 8,100 |\n| $1,230 | 24,200 | 12,100 |\n| $1,350 | 24,100 | 16,100 |\n| $1,470 | 24,000 | 20,100 |" } ] }, { "id": "691", "image": "691.png", "conversations": [ { "from": "human", "question": "Each tool box has 10 tape measures. How many tape measures are in 3 tool boxes?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 30 tape measures in 3 tool boxes.", "answer": "30", "table": "| Number of tool boxes | Number of tape measures |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | ? |" } ] }, { "id": "696", "image": "696.png", "conversations": [ { "from": "human", "question": "Each bush has 10 roses. How many roses are on 4 bushes?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 40 roses on 4 bushes.", "answer": "40", "table": "| Number of bushes | Number of roses |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | ? |" } ] }, { "id": "698", "image": "698.png", "conversations": [ { "from": "human", "question": "While writing a paper on making decisions in groups, Desmond researched the size of a number of committees. How many committees have exactly 17 members?\n" }, { "from": "gpt", "solution": "For the number 17, the stem is 1, and the leaf is 7. Find the row where the stem is 1. In that row, count all the leaves equal to 7.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 committees have exactly17 members.", "answer": "3", "table": "**Committee sizes (number of members)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 2, 7, 7, 7 |\n| 2 | 8 |\n| 3 | 5 |\n| 4 | |\n| 5 | |\n| 6 | 2 |\n| 7 | |\n| 8 | 0, 3 |\n| 9 | 0 |" } ] }, { "id": "705", "image": "705.png", "conversations": [ { "from": "human", "question": "Carly buys 1+3/10 pounds of balsamic vinaigrette. What is the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the balsamic vinaigrette. Multiply the price per pound by the number of pounds.\n$3 × 1\\frac{3}{10} = $3 × 1.3 = $3.90\nThe total cost is $3.90.", "answer": "3.90", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| Thousand Island dressing | $3 per lb |\n| raspberry vinaigrette | $4 per lb |\n| Italian dressing | $7 per lb |\n| blue cheese dressing | $3 per lb |\n| balsamic vinaigrette | $3 per lb |" } ] }, { "id": "707", "image": "707.png", "conversations": [ { "from": "human", "question": "A vendor who sold bread at farmers' markets counted the number of leftover loaves at the end of each day. According to the table, what was the rate of change between Wednesday and Thursday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{41 loaves - 47 loaves}{1 day}\n = \\frac{-6 loaves}{1 day}\n = -6 loaves per day\nThe rate of change between Wednesday and Thursday was - 6 loaves per day.", "answer": "-6", "table": "**Loaves of leftover bread**\n\n| Day | Leftover loaves |\n| --- | --- |\n| Sunday | 35 |\n| Monday | 32 |\n| Tuesday | 38 |\n| Wednesday | 47 |\n| Thursday | 41 |" } ] }, { "id": "708", "image": "708.png", "conversations": [ { "from": "human", "question": "Look at Khadijah's pay stub. Khadijah lives in a state without state income tax. How much did Khadijah make after taxes?\n" }, { "from": "gpt", "solution": "Find how much Khadijah made after taxes. Find the total payroll tax, then subtract it from the total earnings.\nTo find the total payroll tax, add the federal income tax and the other taxes.\nThe total earnings are $1,790.00. The total payroll tax is $335.64. Subtract to find the difference.\n$1,790.00 - $335.64 = $1,454.36\nKhadijah made $1,454.36 after taxes.", "answer": "1,454.36", "table": "| Employee | Pay period | |\n| --- | --- | --- |\n| Khadijah Nair | December | |\n| Total earnings | | $1,790.00 |\n| Federal income tax | $198.74 | |\n| Other taxes | $136.90 | |\n| Total taxes | | ? |\n| Pay after taxes | | ? |" } ] }, { "id": "710", "image": "710.png", "conversations": [ { "from": "human", "question": "An art instructor kept track of how many total pictures were painted by each of the people enrolled in her class. How many people painted exactly 1 picture?\n" }, { "from": "gpt", "solution": "Find the row for 1 picture and read the frequency. The frequency is 0.\n\n0 people painted exactly1 picture.", "answer": "0", "table": "**Painting pictures**\n\n| Pictures painted | Frequency |\n| --- | --- |\n| 0 | 7 |\n| 1 | 0 |\n| 2 | 6 |\n| 3 | 1 |\n| 4 | 9 |" } ] }, { "id": "711", "image": "711.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does the juggler's performance begin?\n" }, { "from": "gpt", "solution": "Find the juggler's performance on the schedule. Find the beginning time for the juggler's performance.\n\nthe jugglers: 5:45 P. M.", "answer": "5:45 P.M.", "table": "**Circus schedule**\n\n| Performer | Begin | End |\n| --- | --- | --- |\n| the jugglers | 5:45 P.M. | 6:20 P.M. |\n| the acrobats | 6:35 P.M. | 7:00 P.M. |\n| the tightrope walkers | 7:05 P.M. | 7:30 P.M. |\n| the strongman | 7:35 P.M. | 8:10 P.M. |\n| the ringmaster | 8:25 P.M. | 8:40 P.M. |\n| the clowns | 8:50 P.M. | 9:05 P.M. |" } ] }, { "id": "716", "image": "716.png", "conversations": [ { "from": "human", "question": "Each plant has 2 peppers. How many peppers are on 6 plants?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 12 peppers on 6 plants.", "answer": "12", "table": "| Number of plants | Number of peppers |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | 6 |\n| 4 | 8 |\n| 5 | 10 |\n| 6 | ? |" } ] }, { "id": "729", "image": "729.png", "conversations": [ { "from": "human", "question": "A food industry researcher compiled the revenues of several pizzerias. How much did Taste of New York make from pizza sales?\n" }, { "from": "gpt", "solution": "Find the row for Taste of New York. Add the numbers in the Taste of New York row.\n\nAdd:\n\n$10.00 + $13.00 = $23.00\n\nTaste of New York made $23 from pizza sales.", "answer": "23", "table": "**Pizza sales**\n\n| Restaurant | Vegetarian pizzas | Cheese pizzas |\n| --- | --- | --- |\n| Dan's Deep Dish | $10 | $11 |\n| Taste of New York | $10 | $13 |\n| The Big Cheese | $16 | $8 |\n| Pizzas Only | $17 | $17 |" } ] }, { "id": "733", "image": "733.png", "conversations": [ { "from": "human", "question": "Tanner has $35. Does he have enough to buy a black jacket and a pair of shorts?\n" }, { "from": "gpt", "solution": "Add the price of a black jacket and the price of a pair of shorts:\n\n$26 + $11 = $37\n\n$37 is more than $35. Tanner does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pair of khaki pants | $13 |\n| green sweatshirt | $10 |\n| pair of sweat pants | $20 |\n| pair of brown pants | $25 |\n| pair of shorts | $11 |\n| black jacket | $26 |" } ] }, { "id": "737", "image": "737.png", "conversations": [ { "from": "human", "question": "The art club examined how many cookies each student baked for the bake sale. Together, how many cookies did Whitney and Jeanette bake?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nWhitney: 437\nJeanette: 239\n\nNow add: 437 + 239 = 676.\n\nWhitney and Jeanette baked 676 cookies.", "answer": "676", "table": "**Cookies baked**\n\n| Name | Number of cookies |\n| --- | --- |\n| Whitney | 437 |\n| Jeanette | 239 |\n| Zachary | 222 |" } ] }, { "id": "748", "image": "748.png", "conversations": [ { "from": "human", "question": "At a swim meet, Ernesto noted the size of various swim teams. How many teams have at least 30 swimmers?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 3, 4, 5, and 6.\n\nYou counted 12 leaves, which are blue in the stem-and-leaf plot above. 12 teams have at least 30 swimmers.", "answer": "12", "table": "**Swimming team sizes (number of swimmers)**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 2, 3, 7, 7 |\n| 3 | 2 |\n| 4 | 0, 3, 4 |\n| 5 | 1, 4, 8 |\n| 6 | 2, 2, 4, 5, 9 |" } ] }, { "id": "749", "image": "749.png", "conversations": [ { "from": "human", "question": "Lily and her friends recorded their scores while playing a board game. Which score did the greatest number of people receive?\n" }, { "from": "gpt", "solution": "Look at the frequency column. Find the greatest frequency. The greatest frequency is 18, which is in the row for 8. The greatest number of people scored 8.", "answer": "8", "table": "**Scores on a board game**\n\n| Score | Frequency |\n| --- | --- |\n| 6 | 4 |\n| 7 | 10 |\n| 8 | 18 |\n| 9 | 6 |\n| 10 | 8 |" } ] }, { "id": "750", "image": "750.png", "conversations": [ { "from": "human", "question": "Professor Livingston informed her students of their scores on the midterm exam. What is the lowest score?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 1.\n\nNow find the lowest leaf in the first row. The lowest leaf is 5.\n\nThe lowest score has a stem of 1 and a leaf of 5. Write the stem first, then the leaf: 15.\n\nThe lowest score is 15 points.", "answer": "15", "table": "**Midterm exam scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 5, 9 |\n| 2 | 8 |\n| 3 | |\n| 4 | 7 |\n| 5 | 2 |\n| 6 | 2 |\n| 7 | 1 |\n| 8 | 8 |" } ] }, { "id": "752", "image": "752.png", "conversations": [ { "from": "human", "question": "How much would it cost to buy 3 kilograms of kettle corn and 2 kilograms of Parmesan popcorn?\n" }, { "from": "gpt", "solution": "Find the cost of the kettle corn. Multiply:\n\n$0.69 × 3 = $2.07\n\nFind the cost of the Parmesan popcorn. Multiply:\n\n$1.41 × 2 = $2.82\n\nNow find the total cost by adding:\n\n$2.07 + $2.82 = $4.89\n\nIt would cost $4.89.", "answer": "4.89", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| caramel corn | $1.13 per kg |\n| chocolate popcorn | $1.78 per kg |\n| kettle corn | $0.69 per kg |\n| ranch popcorn | $1.72 per kg |\n| cheddar popcorn | $0.90 per kg |\n| Parmesan popcorn | $1.41 per kg |" } ] }, { "id": "758", "image": "758.png", "conversations": [ { "from": "human", "question": "Kari wrote down how many glasses of water she drank during the past 7 days. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 7, 6, 11, 7, 7, 11\n\nFirst, arrange the numbers from least to greatest:\n\n6, 6, 7, 7, 7, 11, 11\n\nNow count how many times each number appears.\n\n6 appears 2 times.\n7 appears 3 times.\n11 appears 2 times.\n\nThe number that appears most often is 7.\n\nThe mode is 7.", "answer": "7", "table": "**Glasses of water**\n\n| Day | Number of glasses |\n| --- | --- |\n| Friday | 6 |\n| Saturday | 7 |\n| Sunday | 6 |\n| Monday | 11 |\n| Tuesday | 7 |\n| Wednesday | 7 |\n| Thursday | 11 |" } ] }, { "id": "759", "image": "759.png", "conversations": [ { "from": "human", "question": "Each bag has 5 silver buttons. How many silver buttons are in 4 bags?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 20 silver buttons in 4 bags.", "answer": "20", "table": "| Number of bags | Number of silver buttons |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | ? |" } ] }, { "id": "762", "image": "762.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does the relay race end?\n" }, { "from": "gpt", "solution": "Find the relay race on the schedule. Find the end time for the relay race.\n\nrelay race: 1:10 P. M.", "answer": "1:10 P.M.", "table": "**Field day schedule**\n\n| Event | Begin | End |\n| --- | --- | --- |\n| tug-of-war | 11:40 A.M. | 12:10 P.M. |\n| relay race | 12:25 P.M. | 1:10 P.M. |\n| jump rope race | 1:20 P.M. | 2:15 P.M. |\n| hula hoop contest | 2:30 P.M. | 2:40 P.M. |\n| water balloon toss | 2:50 P.M. | 3:40 P.M. |\n| scooter race | 3:50 P.M. | 4:45 P.M. |\n| potato sack race | 4:55 P.M. | 5:30 P.M. |" } ] }, { "id": "775", "image": "775.png", "conversations": [ { "from": "human", "question": "A printing shop kept a log of how many sheets of paper were used in the past 5 days. How many sheets of paper in total did the printing shop use on Tuesday and Wednesday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nTuesday: 1,176\nWednesday: 2,611\n\nNow add: 1,176 + 2,611 = 3,787.\n\nThe printing shop used 3,787 sheets of paper on Tuesday and Wednesday.", "answer": "3,787", "table": "**Sheets of paper used**\n\n| Day | Number of sheets of paper |\n| --- | --- |\n| Monday | 6,116 |\n| Tuesday | 1,176 |\n| Wednesday | 2,611 |\n| Thursday | 1,667 |\n| Friday | 2,374 |" } ] }, { "id": "785", "image": "785.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $360, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $360, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $140 | 16,900 | 7,600 |\n| $250 | 13,300 | 10,600 |\n| $360 | 9,700 | 13,600 |\n| $470 | 6,100 | 16,600 |\n| $580 | 2,500 | 19,600 |" } ] }, { "id": "792", "image": "792.png", "conversations": [ { "from": "human", "question": "The school district compared how many math teachers each high school has. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 5, 2, 7, 4, 7, 6, 2\n\nFirst, count how many numbers are in the group.\n\nThere are 8 numbers.\n\nNow add all the numbers together:\n\n7 + 5 + 2 + 7 + 4 + 7 + 6 + 2 = 40\n\nNow divide the sum by the number of numbers:\n\n40 ÷ 8 = 5\n\nThe mean is 5.", "answer": "5", "table": "**Math teachers**\n\n| High school | Number of math teachers |\n| --- | --- |\n| Moore High | 7 |\n| Northside High | 5 |\n| Lincoln High | 2 |\n| River High | 7 |\n| Green High | 4 |\n| Washington High | 7 |\n| Central High | 6 |\n| Thompson High | 2 |" } ] }, { "id": "793", "image": "793.png", "conversations": [ { "from": "human", "question": "What is the total cost for 1 pound of size 6 screws and 1 pound of size 1 screws?\n" }, { "from": "gpt", "solution": "Find the cost of the size 6 screws. Multiply:\n\n$9 × 1 = $9\n\nFind the cost of the size 1 screws. Multiply:\n\n$5 × 1 = $5\n\nNow find the total cost by adding:\n\n$9 + $5 = $14\n\nThe total cost is $14.", "answer": "14", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| size 4 screws | $8 per lb |\n| size 2 screws | $10 per lb |\n| size 3 screws | $10 per lb |\n| size 5 screws | $6 per lb |\n| size 1 screws | $5 per lb |\n| size 6 screws | $9 per lb |" } ] }, { "id": "794", "image": "794.png", "conversations": [ { "from": "human", "question": "A farmer wrote down how many kilograms of cherries were sold in the past 3 days. How many kilograms of cherries in total were sold on Tuesday and Wednesday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nTuesday: 1,984\nWednesday: 3,004\n\nNow add: 1,984 + 3,004 = 4,988.\n\n4,988 kilograms of cherries were sold on Tuesday and Wednesday.", "answer": "4,988", "table": "**Cherries sold**\n\n| Day | Kilograms |\n| --- | --- |\n| Monday | 1,559 |\n| Tuesday | 1,984 |\n| Wednesday | 3,004 |" } ] }, { "id": "809", "image": "809.png", "conversations": [ { "from": "human", "question": "What is the total cost for 4/5 of a kilogram of macadamia nuts?\n" }, { "from": "gpt", "solution": "Find the cost of the macadamia nuts. Multiply the price per kilogram by the number of kilograms.\n$4 × \\frac{4}{5} = $4 × 0.8 = $3.20\nThe total cost is $3.20.", "answer": "3.20", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| Brazil nuts | $3/kilogram |\n| chestnuts | $5/kilogram |\n| peanuts | $4/kilogram |\n| macadamia nuts | $4/kilogram |" } ] }, { "id": "811", "image": "811.png", "conversations": [ { "from": "human", "question": "The Springdale Chamber of Commerce researched the number of employees working at local companies. How many companies have at least 10 employees but less than 30 employees?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1 and 2.\n\nYou counted 14 leaves, which are blue in the stem-and-leaf plot above. 14 companies have at least 10 employees but less than 30 employees.", "answer": "14", "table": "**Company sizes (number of employees)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 8, 8, 9, 9 |\n| 2 | 1, 1, 3, 3, 8, 8, 8, 8, 9 |\n| 3 | 1, 5, 6 |\n| 4 | 1, 3, 4, 7, 9 |\n| 5 | 8, 8, 8 |" } ] }, { "id": "817", "image": "817.png", "conversations": [ { "from": "human", "question": "Gabriel conducted a blind taste test on some of his friends in order to determine if organic fruits tasted different than non-organic fruits. Each friend ate one type of fruit. What is the probability that a randomly selected friend tasted apples and preferred non-organic? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the friend tasted apples\" and B be the event \"the friend preferred non-organic\".\nTo find the probability that a friend tasted apples and preferred non-organic, first identify the sample space and the event.\nThe outcomes in the sample space are the different friends. Each friend is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the friend tasted apples and preferred non-organic\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the friend tasted apples and preferred non-organic\", so look at the table to see how many friends tasted apples and preferred non-organic.\nThe number of friends who tasted apples and preferred non-organic is 5.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of friends.\n3 + 1 + 5 + 2 = 11\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{5}{11}\nThe probability that a friend tasted apples and preferred non-organic is \\frac{5}{11}.", "answer": "5/11", "table": "| | Organic | Non-organic |\n| --- | --- | --- |\n| Apples | 3 | 5 |\n| Peaches | 1 | 2 |" } ] }, { "id": "823", "image": "823.png", "conversations": [ { "from": "human", "question": "Alexandra went to the store and bought 2.2 pounds of marinara sauce. How much did she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the marinara sauce. Multiply the price per pound by the number of pounds.\n$4 × 2.2 = $8.80\nShe spent $8.80.", "answer": "8.80", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| marinara sauce | $4/lb |\n| tomato sauce | $7/lb |\n| chicken sauce | $7/lb |\n| pesto sauce | $5/lb |\n| alfredo sauce | $3/lb |" } ] }, { "id": "829", "image": "829.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $1,340, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $1,340, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $920 | 22,400 | 7,800 |\n| $1,060 | 20,000 | 11,100 |\n| $1,200 | 17,600 | 14,400 |\n| $1,340 | 15,200 | 17,700 |\n| $1,480 | 12,800 | 21,000 |" } ] }, { "id": "832", "image": "832.png", "conversations": [ { "from": "human", "question": "Joy is a sandwich maker at a local deli. Last week, she tracked the number of peanut butter and jelly sandwiches ordered, noting the flavor of jelly and type of peanut butter requested. What is the probability that a randomly selected sandwich was made with grape jelly and chunky peanut butter? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the sandwich was made with grape jelly\" and B be the event \"the sandwich was made with chunky peanut butter\".\nTo find the probability that a sandwich was made with grape jelly and chunky peanut butter, first identify the sample space and the event.\nThe outcomes in the sample space are the different sandwiches. Each sandwich is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the sandwich was made with grape jelly and chunky peanut butter\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the sandwich was made with grape jelly and chunky peanut butter\", so look at the table to see how many sandwiches were made with grape jelly and chunky peanut butter.\nThe number of sandwiches that were made with grape jelly and chunky peanut butter is 7.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of sandwiches.\n7 + 3 + 3 + 7 = 20\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{7}{20}\nThe probability that a sandwich was made with grape jelly and chunky peanut butter is \\frac{7}{20}.", "answer": "7/20", "table": "| | Creamy peanut butter | Chunky peanut butter |\n| --- | --- | --- |\n| Strawberry jelly | 7 | 3 |\n| Grape jelly | 3 | 7 |" } ] }, { "id": "852", "image": "852.png", "conversations": [ { "from": "human", "question": "Mateo has $92. How much money will Mateo have left if he buys a pair of sweat pants and a green sweatshirt?\n" }, { "from": "gpt", "solution": "Find the total cost of a pair of sweat pants and a green sweatshirt.\n\n$20 + $12 = $32\n\nNow subtract the total cost from the starting amount.\n\n$92 - $32 = $60\n\nMateo will have $60 left.", "answer": "60", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| denim jacket | $24 |\n| pair of boots | $27 |\n| pair of jeans | $39 |\n| pair of shoes | $28 |\n| green sweatshirt | $12 |\n| pair of sweat pants | $20 |" } ] }, { "id": "863", "image": "863.png", "conversations": [ { "from": "human", "question": "Abdul just downloaded the new game Gem Excavator on his phone. In the first level, Abdul gains points for each green gem he finds. However, he loses points for each red gem he finds. The table shows how the gems affect Abdul's points. Which color gem affects Abdul's points less?\n" }, { "from": "gpt", "solution": "To find the gem that affects Abdul's points less, use absolute value. Absolute value tells you how much Abdul's points change for each color gem.\nGreen: |25| = 25\nRed: |-40| = 40\nAbdul gains 25 points for each green gem he finds, and he loses 40 points for each red gem he finds. So, the green gems affect Abdul's points less.", "answer": "green", "table": "| Gem color | Change in points |\n| --- | --- |\n| Green | 25 |\n| Red | -40 |" } ] }, { "id": "865", "image": "865.png", "conversations": [ { "from": "human", "question": "Look at Max's pay stub. Max lives in a state that has state income tax. How much payroll tax did Max pay in total?\n" }, { "from": "gpt", "solution": "To find the total payroll tax, add the federal income tax, state income tax, and other taxes.\nThe federal income tax is $624.58. The state income tax is $321.71. The other taxes are $337.10. Add.\n$624.58 + $321.71 + $337.10 = $1,283.39\nMax paid a total of $1,283.39 in payroll tax.", "answer": "1,283.39", "table": "| Employee | Pay period | |\n| --- | --- | --- |\n| Max Stephenson | November | |\n| Total earnings | | $4,407.00 |\n| Federal income tax | $624.58 | |\n| State income tax | $321.71 | |\n| Other taxes | $337.10 | |\n| Total taxes | | ? |\n| Pay after taxes | | ? |" } ] }, { "id": "868", "image": "868.png", "conversations": [ { "from": "human", "question": "A reporter looked through her notebook to remember how many people she had interviewed in the past 6 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 16, 19, 15, 16, 7\n\nFirst, find the greatest number. The greatest number is 19.\n\nNext, find the least number. The least number is 7.\n\nSubtract the least number from the greatest number:\n\n19 − 7 = 12\n\nThe range is 12.", "answer": "12", "table": "**People interviewed**\n\n| Day | Number of people |\n| --- | --- |\n| Thursday | 7 |\n| Friday | 16 |\n| Saturday | 19 |\n| Sunday | 15 |\n| Monday | 16 |\n| Tuesday | 7 |" } ] }, { "id": "870", "image": "870.png", "conversations": [ { "from": "human", "question": "A vendor who sold bread at farmers' markets counted the number of leftover loaves at the end of each day. According to the table, what was the rate of change between Sunday and Monday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{27 loaves - 23 loaves}{1 day}\n = \\frac{4 loaves}{1 day}\n = 4 loaves per day\nThe rate of change between Sunday and Monday was 4 loaves per day.", "answer": "4", "table": "**Loaves of leftover bread**\n\n| Day | Leftover loaves |\n| --- | --- |\n| Sunday | 23 |\n| Monday | 27 |\n| Tuesday | 7 |\n| Wednesday | 19 |\n| Thursday | 43 |" } ] }, { "id": "871", "image": "871.png", "conversations": [ { "from": "human", "question": "The city library monitored the number of books checked out each day. On which day were the fewest books checked out?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 735.\n\nNow find the corresponding day. Thursday corresponds to 735.", "answer": "Thursday", "table": "**Books checked out**\n\n| Day | Number of books |\n| --- | --- |\n| Thursday | 735 |\n| Friday | 773 |\n| Saturday | 757 |\n| Sunday | 753 |" } ] }, { "id": "891", "image": "891.png", "conversations": [ { "from": "human", "question": "Kimi records the number of pairs of sandals owned by each of her classmates. How many students are there in all?\n" }, { "from": "gpt", "solution": "Add the frequencies for each row.\n\nAdd:\n\n1 + 19 + 18 + 3 = 41\n\nThere are 41 students in all.", "answer": "41", "table": "**Pairs of sandals**\n\n| Number of pairs of sandals | Frequency |\n| --- | --- |\n| 0 | 1 |\n| 1 | 19 |\n| 2 | 18 |\n| 3 | 3 |" } ] }, { "id": "893", "image": "893.png", "conversations": [ { "from": "human", "question": "For Earth Day, Fairfax High's environmental club tracked the number of seeds planted by its members. How many members planted fewer than 3 seeds?\n" }, { "from": "gpt", "solution": "Find the rows for 0, 1, and 2 seeds. Add the frequencies for these rows.\n\nAdd:\n\n2 + 3 + 14 = 19\n\n19 members planted fewer than 3 seeds.", "answer": "19", "table": "**Planting seeds in the garden**\n\n| Seeds planted | Frequency |\n| --- | --- |\n| 0 | 2 |\n| 1 | 3 |\n| 2 | 14 |\n| 3 | 13 |\n| 4 | 5 |\n| 5 | 19 |\n| 6 | 11 |" } ] }, { "id": "894", "image": "894.png", "conversations": [ { "from": "human", "question": "Ethan went on a road trip and tracked his driving each day. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n73, 76, 90, 95, 95, 73\n\nFirst, find the greatest number. The greatest number is 95.\n\nNext, find the least number. The least number is 73.\n\nSubtract the least number from the greatest number:\n\n95 − 73 = 22\n\nThe range is 22.", "answer": "22", "table": "**Miles driven**\n\n| Day | Number of miles |\n| --- | --- |\n| Saturday | 73 |\n| Sunday | 76 |\n| Monday | 90 |\n| Tuesday | 95 |\n| Wednesday | 95 |\n| Thursday | 73 |" } ] }, { "id": "900", "image": "900.png", "conversations": [ { "from": "human", "question": "At Winchester Consulting, the head of human resources examined how the number of employees with health care benefits varied in response to policy changes. According to the table, what was the rate of change between 2007 and 2008?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{13 employees - 20 employees}{2008 - 2007}\n = \\frac{13 employees - 20 employees}{1 year}\n = \\frac{-7 employees}{1 year}\n = -7 employees per year\nThe rate of change between 2007 and 2008 was - 7 employees per year.", "answer": "-7", "table": "**Employees with health care benefits**\n\n| Year | Employees |\n| --- | --- |\n| 2006 | 19 |\n| 2007 | 20 |\n| 2008 | 13 |\n| 2009 | 17 |\n| 2010 | 12 |" } ] }, { "id": "904", "image": "904.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $1,035, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $1,035, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $715 | 19,700 | 14,900 |\n| $795 | 15,200 | 16,700 |\n| $875 | 10,700 | 18,500 |\n| $955 | 6,200 | 20,300 |\n| $1,035 | 1,700 | 22,100 |" } ] }, { "id": "909", "image": "909.png", "conversations": [ { "from": "human", "question": "Christine's classmates revealed how many science articles they read. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n75, 70, 76, 76, 71\n\nFirst, find the greatest number. The greatest number is 76.\n\nNext, find the least number. The least number is 70.\n\nSubtract the least number from the greatest number:\n\n76 − 70 = 6\n\nThe range is 6.", "answer": "6", "table": "**Science articles read**\n\n| Name | Number of science articles |\n| --- | --- |\n| Christine | 75 |\n| Debbie | 70 |\n| Richard | 76 |\n| Hassan | 76 |\n| Perry | 71 |" } ] }, { "id": "911", "image": "911.png", "conversations": [ { "from": "human", "question": "Kevin has $134.98. How much money will Kevin have left if he buys a jersey signed by a famous hockey player and a book signed by a famous author?\n" }, { "from": "gpt", "solution": "Find the total cost of a jersey signed by a famous hockey player and a book signed by a famous author.\n\n$96.89 + $18.60 = $115.49\n\nNow subtract the total cost from the starting amount.\n\n$134.98 - $115.49 = $19.49\n\nKevin will have $19.49 left.", "answer": "19.49", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| book signed by a famous author | $18.60 |\n| jersey signed by a famous hockey player | $96.89 |\n| photograph signed by a famous movie star | $87.14 |\n| ball signed by a famous football player | $56.42 |" } ] }, { "id": "914", "image": "914.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does Mr. Dyer's class begin?\n" }, { "from": "gpt", "solution": "Find Mr. Dyer's class on the schedule. Find the beginning time for Mr. Dyer's class.\n\nMr. Dyer's class: 1:55 P. M.", "answer": "1:55 P.M.", "table": "**Library schedule**\n\n| Class | Begin | End |\n| --- | --- | --- |\n| Ms. Clark's class | 7:55 A.M. | 8:30 A.M. |\n| Mr. Watson's class | 8:35 A.M. | 9:40 A.M. |\n| Ms. Cooper's class | 10:00 A.M. | 10:25 A.M. |\n| Mr. Dotson's class | 10:35 A.M. | 11:25 A.M. |\n| Mr. O'Connor's class | 11:45 A.M. | 12:35 P.M. |\n| Ms. Pena's class | 12:55 P.M. | 1:50 P.M. |\n| Mr. Dyer's class | 1:55 P.M. | 2:50 P.M. |\n| Mr. Arnold's class | 3:05 P.M. | 3:40 P.M. |\n| Mrs. Powell's class | 3:45 P.M. | 4:10 P.M. |" } ] }, { "id": "915", "image": "915.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which event begins at 1.35 P.M.?\n" }, { "from": "gpt", "solution": "Find 1:35 P. M. on the schedule. The golf tournament begins at 1:35 P. M.", "answer": "golf tournament", "table": "**University sports schedule**\n\n| Event | Begin | End |\n| --- | --- | --- |\n| track meet | 11:55 A.M. | 1:45 P.M. |\n| golf tournament | 1:35 P.M. | 2:55 P.M. |\n| gymnastics meet | 2:55 P.M. | 5:45 P.M. |\n| men's tennis match | 4:55 P.M. | 7:35 P.M. |\n| women's tennis match | 7:10 P.M. | 8:30 P.M. |" } ] }, { "id": "919", "image": "919.png", "conversations": [ { "from": "human", "question": "To determine whether people make fewer trips to the movies when the economy is bad, a reporter asked people how many movies they saw last month. How many people went to the movies more than 3 times?\n" }, { "from": "gpt", "solution": "Find the rows for 4 and 5 times. Add the frequencies for these rows.\n\nAdd:\n\n12 + 4 = 16\n\n16 people went to the movies more than 3 times.", "answer": "16", "table": "**Trips to the movies last month**\n\n| Number of trips | Frequency |\n| --- | --- |\n| 0 | 19 |\n| 1 | 3 |\n| 2 | 16 |\n| 3 | 20 |\n| 4 | 12 |\n| 5 | 4 |" } ] }, { "id": "922", "image": "922.png", "conversations": [ { "from": "human", "question": "Some friends played miniature golf and wrote down their scores. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n66, 63, 63, 65, 65, 65, 66\n\nFirst, arrange the numbers from least to greatest:\n\n63, 63, 65, 65, 65, 66, 66\n\nNow count how many times each number appears.\n\n63 appears 2 times.\n65 appears 3 times.\n66 appears 2 times.\n\nThe number that appears most often is 65.\n\nThe mode is 65.", "answer": "65", "table": "**Miniature golf scores**\n\n| Name | Score |\n| --- | --- |\n| Aisha | 66 |\n| Lucy | 63 |\n| Emma | 63 |\n| Ted | 65 |\n| Owen | 65 |\n| Greta | 65 |\n| Bert | 66 |" } ] }, { "id": "926", "image": "926.png", "conversations": [ { "from": "human", "question": "A farmer counted the number of apples on each tree in her orchard. How many trees have fewer than 60 apples?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 4 and 5.\n\nYou counted 7 leaves, which are blue in the stem-and-leaf plot above. 7 trees have fewer than 60 apples.", "answer": "7", "table": "**Apples per tree**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 0, 3, 4, 5, 9 |\n| 5 | 7, 8 |\n| 6 | 3, 3, 3, 4, 7, 7 |\n| 7 | 0, 2, 3, 8 |\n| 8 | 0, 0, 3 |" } ] }, { "id": "931", "image": "931.png", "conversations": [ { "from": "human", "question": "How much more does a ticket for a South American cruise cost than a ticket for a Mexican cruise?\n" }, { "from": "gpt", "solution": "Subtract the price of a ticket for a Mexican cruise from the price of a ticket for a South American cruise.\n\n$5,926 - $5,695 = $231\n\nA ticket for a South American cruise costs $231 more than a ticket for a Mexican cruise.", "answer": "231", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| ticket for a Hawaiian cruise | $8,295 |\n| ticket for an Alaskan cruise | $4,613 |\n| ticket for a South American cruise | $5,926 |\n| ticket for an Atlantic cruise | $1,497 |\n| ticket for an Australian cruise | $2,297 |\n| ticket for a Mexican cruise | $5,695 |" } ] }, { "id": "940", "image": "940.png", "conversations": [ { "from": "human", "question": "How much money does Annie need to buy a bottle of sunscreen, a package of dental floss, and a toothbrush?\n" }, { "from": "gpt", "solution": "Find the total cost of a bottle of sunscreen, a package of dental floss, and a toothbrush.\n\n$7.77 + $1.55 + $2.11 = $11.43\n\nAnnie needs $11.43.", "answer": "11.43", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| bottle of sunscreen | $7.77 |\n| tube of toothpaste | $1.41 |\n| package of dental floss | $1.55 |\n| toothbrush | $2.11 |" } ] }, { "id": "942", "image": "942.png", "conversations": [ { "from": "human", "question": "Some students compared how many clubs they belong to. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 3, 5, 3, 3, 5, 3, 5\n\nFirst, arrange the numbers from least to greatest:\n\n3, 3, 3, 3, 5, 5, 5, 6\n\nNow count how many times each number appears.\n\n3 appears 4 times.\n5 appears 3 times.\n6 appears 1 time.\n\nThe number that appears most often is 3.\n\nThe mode is 3.", "answer": "3", "table": "**Clubs**\n\n| Name | Number of clubs |\n| --- | --- |\n| Travis | 6 |\n| Abby | 3 |\n| Patrick | 5 |\n| Max | 3 |\n| Winston | 3 |\n| Kathleen | 5 |\n| Grayson | 3 |\n| Sophia | 5 |" } ] }, { "id": "944", "image": "944.png", "conversations": [ { "from": "human", "question": "Mitch keeps a jar of coins on his bookshelf. The frequency chart shows the coins currently in the jar. Mitch finds 12 more coins in his wallet. How many coins does Mitch have in all?\n" }, { "from": "gpt", "solution": "Step 1: Find how many coins are in the jar.\nAdd all of the frequencies.\n31 + 78 + 46 + 144 = 299\nSo, there are 299 coins in the jar.\nStep 2: Find how many coins Mitch has in all.\nMitch has 299 coins in the jar and 12 coins in his wallet. Add.\n299 + 12 = 311\nSo, Mitch has 311 coins in all.", "answer": "311", "table": "**Coins in Mitch's jar**\n\n| Type | Frequency |\n| --- | --- |\n| quarter | 31 |\n| dime | 78 |\n| nickel | 46 |\n| penny | 144 |" } ] }, { "id": "946", "image": "946.png", "conversations": [ { "from": "human", "question": "Anne went to the store. She bought 1.7 kilograms of pesto sauce. How much did she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the pesto sauce. Multiply the price per kilogram by the number of kilograms.\n$2 × 1.7 = $3.40\nShe spent $3.40.", "answer": "3.40", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pesto sauce | $2 per kg |\n| chicken sauce | $3 per kg |\n| beef sauce | $3 per kg |\n| alfredo sauce | $2 per kg |" } ] }, { "id": "947", "image": "947.png", "conversations": [ { "from": "human", "question": "An economist tracked the amount of per-capita aid sent from the U.S. to various countries during the 1900s. In 1975, which country received more aid per capita, Libya or Sri Lanka?\n" }, { "from": "gpt", "solution": "Find the 1975 column. Compare the numbers in this column for Libya and Sri Lanka.\n\n$11.00 is more than $2.00. In 1975, Sri Lanka received more aid per capita.", "answer": "Sri Lanka", "table": "**Aid received per capita from the U.S.**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 1965 | 1975 |\n| Libya | $4 | $2 |\n| Afghanistan | $5 | $5 |\n| Pakistan | $9 | $9 |\n| Sri Lanka | $1 | $11 |" } ] }, { "id": "953", "image": "953.png", "conversations": [ { "from": "human", "question": "How much money does Natalie need to buy 2 online ads?\n" }, { "from": "gpt", "solution": "Find the total cost of 2 online ads by multiplying 2 times the price of an online ad.\n\n$2,950 × 2 = $5,900\n\nNatalie needs $5,900.", "answer": "5,900", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| online ad | $2,950 |\n| billboard ad | $5,822 |\n| TV ad | $6,757 |\n| magazine ad | $8,747 |" } ] }, { "id": "954", "image": "954.png", "conversations": [ { "from": "human", "question": "Each stack has 5 magazines. How many magazines are in 5 stacks?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 25 magazines in 5 stacks.", "answer": "25", "table": "| Number of stacks | Number of magazines |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | 20 |\n| 5 | ? |" } ] }, { "id": "958", "image": "958.png", "conversations": [ { "from": "human", "question": "How much money does Erica need to buy a cheese pizza and grilled eggplant?\n" }, { "from": "gpt", "solution": "Add the price of a cheese pizza and the price of grilled eggplant:\n\n$4 + $5 = $9\n\nErica needs $9.", "answer": "9", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| steamed broccoli | $3 |\n| spaghetti and meatballs | $5 |\n| pasta with white sauce | $8 |\n| green salad | $3 |\n| cheese pizza | $4 |\n| grilled eggplant | $5 |" } ] }, { "id": "963", "image": "963.png", "conversations": [ { "from": "human", "question": "Miss Pratt ran a sit-up competition among her P.E. students and monitored how many sit-ups each students could do. How many people did fewer than 90 sit-ups?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 6, 7, and 8.\n\nYou counted 21 leaves, which are blue in the stem-and-leaf plot above. 21 people did fewer than 90 sit-ups.", "answer": "21", "table": "**Sit-up competition (number of sit-ups)**\n\n| Stem | Leaf |\n| --- | --- |\n| 6 | 0, 1, 1, 3, 3, 5, 5, 6, 6, 9, 9 |\n| 7 | 2, 4, 5, 8 |\n| 8 | 0, 1, 6, 6, 6, 9 |\n| 9 | 0 |" } ] }, { "id": "968", "image": "968.png", "conversations": [ { "from": "human", "question": "Jayla counted the number of pieces of pepperoni on each pizza she made. How many pizzas had fewer than 46 pieces of pepperoni?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1, 2, and 3.\n\nIn the row with stem 4, count all the leaves less than 6.\n\nYou counted 14 leaves, which are blue in the stem-and-leaf plots above. 14 pizzas had fewer than 46 pieces of pepperoni.", "answer": "14", "table": "**Pieces of pepperoni per pizza**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 2, 5, 6 |\n| 2 | 2, 5, 6, 8, 9 |\n| 3 | 1, 7, 9 |\n| 4 | 0, 3, 3 |" } ] }, { "id": "972", "image": "972.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which class begins at 3.20 P.M.?\n" }, { "from": "gpt", "solution": "Find 3:20 P. M. on the schedule. Web Page Design class begins at 3:20 P. M.", "answer": "Web Page Design class", "table": "**Computer lab schedule**\n\n| Class | Begin | End |\n| --- | --- | --- |\n| Introduction to Typing | 8:05 A.M. | 9:10 A.M. |\n| Advanced Typing | 9:15 A.M. | 10:25 A.M. |\n| Computer Finance | 10:30 A.M. | 11:00 A.M. |\n| Word Processing | 11:10 A.M. | 11:50 A.M. |\n| Computer Science | 11:55 A.M. | 12:25 P.M. |\n| Computer Graphics | 12:40 P.M. | 1:45 P.M. |\n| Beginning Programming | 1:55 P.M. | 3:15 P.M. |\n| Web Page Design | 3:20 P.M. | 4:25 P.M. |" } ] }, { "id": "974", "image": "974.png", "conversations": [ { "from": "human", "question": "How much more does a jersey signed by a famous basketball player cost than a photograph signed by a famous race car driver?\n" }, { "from": "gpt", "solution": "Subtract the price of a photograph signed by a famous race car driver from the price of a jersey signed by a famous basketball player.\n\n$6,047.00 - $2,896.00 = $3,151.00\n\nA jersey signed by a famous basketball player costs $3,151.00 more than a photograph signed by a famous race car driver.", "answer": "3,151", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| painting signed by a famous artist | $9,254.00 |\n| jersey signed by a famous basketball player | $6,047.00 |\n| photograph signed by a famous movie star | $8,658.00 |\n| ball signed by a famous football player | $1,788.00 |\n| photograph signed by a famous race car driver | $2,896.00 |" } ] }, { "id": "978", "image": "978.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Jonathan just missed the 9.15 A.M. bus at the city hall. How long does he have to wait until the next bus?\n" }, { "from": "gpt", "solution": "Find 9:15 A. M. in the row for the city hall.\n\nLook for the next bus in that row.\n\nThe next bus is at 10:00 A. M.\n\nFind the elapsed time. The elapsed time is 45 minutes.", "answer": "45 minutes", "table": "**Tour bus schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 | Column 5 |\n| --- | --- | --- | --- | --- |\n| downtown | 8:15 A.M. | 9:00 A.M. | 9:15 A.M. | 10:00 A.M. |\n| city hall | 9:15 A.M. | 10:00 A.M. | 10:15 A.M. | 11:00 A.M. |\n| university campus | 10:15 A.M. | 11:00 A.M. | 11:15 A.M. | 12:00 P.M. |\n| the riverfront | 11:00 A.M. | 11:45 A.M. | 12:00 P.M. | 12:45 P.M. |\n| old building | 11:45 A.M. | 12:30 P.M. | 12:45 P.M. | 1:30 P.M. |\n| shopping district | 12:30 P.M. | 1:15 P.M. | 1:30 P.M. | 2:15 P.M. |\n| art museum | 1:15 P.M. | 2:00 P.M. | 2:15 P.M. | 3:00 P.M. |" } ] }, { "id": "979", "image": "979.png", "conversations": [ { "from": "human", "question": "Sixth graders at Belleville Middle School are taught in classes of various sizes. How many more girls are in Miss West's class than Ms. North's class?\n" }, { "from": "gpt", "solution": "Find the Girls column. Find the numbers in this column for Miss West and Ms. North.\n\nMiss West: 16\nMs. North: 8\n\nNow subtract:\n\n16 − 8 = 8\n\n8 more girls are in Miss West's class than Ms. North's class.", "answer": "8", "table": "**Sixth grade classes**\n\n| Teacher | Boys | Girls |\n| --- | --- | --- |\n| Miss West | 5 | 16 |\n| Ms. North | 6 | 8 |\n| Mrs. South | 5 | 18 |" } ] }, { "id": "985", "image": "985.png", "conversations": [ { "from": "human", "question": "Bruce wrote down how many minutes of TV he watched over the past 3 days. How many minutes in total did Bruce watch on Friday and Sunday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nFriday: 162\nSunday: 156\n\nNow add: 162 + 156 = 318.\n\nBruce watched 318 minutes of TV on Friday and Sunday.", "answer": "318", "table": "**Minutes of TV watched**\n\n| Day | Minutes |\n| --- | --- |\n| Friday | 162 |\n| Saturday | 150 |\n| Sunday | 156 |" } ] }, { "id": "998", "image": "998.png", "conversations": [ { "from": "human", "question": "Each town has 10 grocery stores. How many grocery stores are in 6 towns?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 60 grocery stores in 6 towns.", "answer": "60", "table": "| Number of towns | Number of grocery stores |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | 40 |\n| 5 | 50 |\n| 6 | ? |" } ] }, { "id": "1000", "image": "1000.png", "conversations": [ { "from": "human", "question": "An architecture student measured the heights of all the buildings downtown. How many buildings are less than 50 meters tall?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 2, 3, and 4.\n\nYou counted 13 leaves, which are blue in the stem-and-leaf plot above. 13 buildings are less than 50 meters tall.", "answer": "13", "table": "**Building heights (meters)**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 1, 4, 5 |\n| 3 | 2, 2, 8 |\n| 4 | 0, 0, 5, 6, 6, 7, 8 |\n| 5 | 4, 5, 7, 8, 9 |\n| 6 | 0, 0, 5, 6, 9 |" } ] }, { "id": "1002", "image": "1002.png", "conversations": [ { "from": "human", "question": "Some farmers compared how many tractors they own. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n2, 1, 2, 1, 1\n\nFirst, arrange the numbers from least to greatest:\n\n1, 1, 1, 2, 2\n\nNow find the number in the middle.\n\n1, 1, 1, 2, 2\n\nThe number in the middle is 1.\n\nThe median is 1.", "answer": "1", "table": "**Tractors**\n\n| Farmer | Number of tractors |\n| --- | --- |\n| Farmer Judy | 2 |\n| Farmer Alex | 1 |\n| Farmer Tom | 2 |\n| Farmer Joe | 1 |\n| Farmer John | 1 |" } ] }, { "id": "1006", "image": "1006.png", "conversations": [ { "from": "human", "question": "How much money does Dylan need to buy 8 Caribbean vacation packages and 6 European vacation packages?\n" }, { "from": "gpt", "solution": "Find the cost of 8 Caribbean vacation packages.\n\n$668 × 8 = $5,344\n\nFind the cost of 6 European vacation packages.\n\n$593 × 6 = $3,558\n\nNow find the total cost.\n\n$5,344 + $3,558 = $8,902\n\nDylan needs $8,902.", "answer": "8,902", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| European vacation package | $593 |\n| Caribbean vacation package | $668 |\n| African safari vacation package | $935 |\n| Hawaiian vacation package | $946 |" } ] }, { "id": "1009", "image": "1009.png", "conversations": [ { "from": "human", "question": "How much money does Eve need to buy a dry erase marker and an eraser?\n" }, { "from": "gpt", "solution": "Add the price of a dry erase marker and the price of an eraser:\n\n$0.94 + $0.78 = $1.72\n\nEve needs $1.72.", "answer": "1.72", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| dry erase marker | $0.94 |\n| eraser | $0.78 |\n| box of colored pencils | $0.94 |\n| ink pad | $0.89 |" } ] }, { "id": "1019", "image": "1019.png", "conversations": [ { "from": "human", "question": "An economist tracked the amount of per-capita aid sent from the U.S. to various countries during the 1900s. Per capita, how much more aid did Algeria receive in 1975 than in 1985?\n" }, { "from": "gpt", "solution": "Find the Algeria row. Find the numbers in this row for 1975 and 1985.\n\n1975: $11.00\n1985: $8.00\n\nNow subtract:\n\n$11.00 − $8.00 = $3.00\n\nPer capita, Algeria received $3 more in aid in 1975 than in 1985.", "answer": "3", "table": "**Aid received per capita from the U.S.**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 1975 | 1985 |\n| Pakistan | $9 | $8 |\n| Algeria | $11 | $8 |\n| Libya | $2 | $1 |\n| Nepal | $3 | $14 |" } ] }, { "id": "1028", "image": "1028.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does the advanced ballet class end?\n" }, { "from": "gpt", "solution": "Find the advanced ballet class on the schedule. Find the end time for the advanced ballet class.\n\nadvanced ballet: 6:45 P. M.", "answer": "6:45 P.M.", "table": "**Dance studio schedule**\n\n| Class | Begin | End |\n| --- | --- | --- |\n| salsa dance | 8:20 A.M. | 9:35 A.M. |\n| western dance | 9:50 A.M. | 11:00 A.M. |\n| ballroom dance | 11:15 A.M. | 11:45 A.M. |\n| swing dance | 12:00 P.M. | 1:20 P.M. |\n| jazz dance | 1:25 P.M. | 2:45 P.M. |\n| modern dance | 3:00 P.M. | 4:15 P.M. |\n| beginning ballet | 4:20 P.M. | 4:55 P.M. |\n| advanced ballet | 5:05 P.M. | 6:45 P.M. |" } ] }, { "id": "1029", "image": "1029.png", "conversations": [ { "from": "human", "question": "For a study on numerical psychology, people were polled about which number between 1 and 5 they like most, and why. Which number was said the fewest times?\n" }, { "from": "gpt", "solution": "Look at the frequency column. Find the least frequency. The least frequency is 1, which is in the row for 4. 4 was said the fewest times.", "answer": "4", "table": "**People's favorite numbers between 1 and 5**\n\n| Favorite number | Frequency |\n| --- | --- |\n| 1 | 8 |\n| 2 | 20 |\n| 3 | 16 |\n| 4 | 1 |\n| 5 | 18 |" } ] }, { "id": "1031", "image": "1031.png", "conversations": [ { "from": "human", "question": "Eli went on a camping trip and logged the number of miles he hiked each day. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n10, 9, 6, 10, 10\n\nFirst, count how many numbers are in the group.\n\nThere are 5 numbers.\n\nNow add all the numbers together:\n\n10 + 9 + 6 + 10 + 10 = 45\n\nNow divide the sum by the number of numbers:\n\n45 ÷ 5 = 9\n\nThe mean is 9.", "answer": "9", "table": "**Miles hiked**\n\n| Day | Number of miles |\n| --- | --- |\n| Saturday | 10 |\n| Sunday | 9 |\n| Monday | 6 |\n| Tuesday | 10 |\n| Wednesday | 10 |" } ] }, { "id": "1048", "image": "1048.png", "conversations": [ { "from": "human", "question": "The parks department compared how many basketball hoops there are at each park. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n14, 18, 11, 18, 12\n\nFirst, arrange the numbers from least to greatest:\n\n11, 12, 14, 18, 18\n\nNow find the number in the middle.\n\n11, 12, 14, 18, 18\n\nThe number in the middle is 14.\n\nThe median is 14.", "answer": "14", "table": "**Basketball hoops**\n\n| Park | Number of basketball hoops |\n| --- | --- |\n| Mooreland Park | 14 |\n| Riverfront Park | 18 |\n| Westfield Park | 11 |\n| Otter Park | 18 |\n| Pinehurst Park | 12 |" } ] }, { "id": "1063", "image": "1063.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $1,190, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $1,190, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $790 | 17,200 | 18,700 |\n| $890 | 16,700 | 19,800 |\n| $990 | 16,200 | 20,900 |\n| $1,090 | 15,700 | 22,000 |\n| $1,190 | 15,200 | 23,100 |" } ] }, { "id": "1068", "image": "1068.png", "conversations": [ { "from": "human", "question": "Ben went on a camping trip and logged the number of miles he hiked each day. On which day did Ben hike the most miles?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 19.\n\nNow find the corresponding day. Sunday corresponds to 19.", "answer": "Sunday", "table": "**Miles hiked**\n\n| Day | Number of miles |\n| --- | --- |\n| Thursday | 12 |\n| Friday | 14 |\n| Saturday | 17 |\n| Sunday | 19 |" } ] }, { "id": "1092", "image": "1092.png", "conversations": [ { "from": "human", "question": "How much more does a bearded dragon cost than a cockatoo?\n" }, { "from": "gpt", "solution": "Subtract the price of a cockatoo from the price of a bearded dragon.\n\n$63.07 - $17.57 = $45.50\n\nA bearded dragon costs $45.50 more than a cockatoo.", "answer": "45.50", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| hedgehog | $77.81 |\n| cockatoo | $17.57 |\n| bearded dragon | $63.07 |\n| scorpion | $36.99 |" } ] }, { "id": "1105", "image": "1105.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Estelle is at Westminster at 10.45 A.M. How soon can she get to Princeton?\n" }, { "from": "gpt", "solution": "Look at the row for Westminster. Find the next train departing from Westminster after 10:45 A. M. This train departs from Westminster at 8:45 P. M.\n\nLook down the column until you find the row for Princeton.\n\nEstelle will get to Princeton at 10:30 P. M.", "answer": "10:30 P.M.", "table": "**Train schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 |\n| --- | --- | --- | --- |\n| Springtown | 4:15 A.M. | 6:30 A.M. | 6:00 P.M. |\n| Allenville | 5:15 A.M. | 7:30 A.M. | 7:00 P.M. |\n| Westminster | 7:00 A.M. | 9:15 A.M. | 8:45 P.M. |\n| Princeton | 8:45 A.M. | 11:00 A.M. | 10:30 P.M. |" } ] }, { "id": "1108", "image": "1108.png", "conversations": [ { "from": "human", "question": "Manny wants to buy 5 kilograms of Parmesan and 2 kilograms of ricotta. How much will he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the Parmesan. Multiply:\n\n$2 × 5 = $10\n\nFind the cost of the ricotta. Multiply:\n\n$3 × 2 = $6\n\nNow find the total cost by adding:\n\n$10 + $6 = $16\n\nHe will spend $16.", "answer": "16", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| gorgonzola | $2 per kg |\n| American cheese | $3 per kg |\n| Parmesan | $2 per kg |\n| cheddar | $3 per kg |\n| ricotta | $3 per kg |" } ] }, { "id": "1117", "image": "1117.png", "conversations": [ { "from": "human", "question": "Each bush has 2 flowers. How many flowers are on 4 bushes?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 8 flowers on 4 bushes.", "answer": "8", "table": "| Number of bushes | Number of flowers |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | 6 |\n| 4 | ? |" } ] }, { "id": "1130", "image": "1130.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Sasha just missed the 8.30 P.M. train at Chickenville. How long does she have to wait until the next train?\n" }, { "from": "gpt", "solution": "Find 8:30 P. M. in the row for Chickenville.\n\nLook for the next train in that row.\n\nThe next train is at 11:30 P. M.\n\nFind the elapsed time. The elapsed time is 3 hours.", "answer": "3 hours", "table": "**Train schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 |\n| --- | --- | --- | --- |\n| Chickenville | 4:45 A.M. | 8:30 P.M. | 11:30 P.M. |\n| Happy Cow Farm | 5:45 A.M. | 6:30 A.M. | 9:30 P.M. |\n| Gecko Paradise | 6:30 A.M. | 7:15 A.M. | 11:45 P.M. |\n| Snowy Mountain | 7:30 A.M. | 8:15 A.M. | 10:15 P.M. |" } ] }, { "id": "1136", "image": "1136.png", "conversations": [ { "from": "human", "question": "The Crafty Clay Art Show has invited Sofia to make and sell her famous decorative plates. She molds the plates out of clay and then paints them. There is a proportional relationship between the number of plates Sofia makes, x, and the amount of clay she uses (in pounds), y. What is the constant of proportionality? Write your answer as a whole number or decimal.\n" }, { "from": "gpt", "solution": "To find the constant of proportionality, calculate the ratio of y to x.\n10 / 5 = 2\n12 / 6 = 2\n14 / 7 = 2\n20 / 10 = 2\nThe ratio for each pair of x- and y-values is 2. So, the variables have a proportional relationship.\nSo, the constant of proportionality is 2 pounds per plate.", "answer": "2", "table": "**x (plates) y (pounds)**\n\n| Column 1 | Column 2 |\n| --- | --- |\n| 5 | 10 |\n| 6 | 12 |\n| 7 | 14 |\n| 10 | 20 |" } ] }, { "id": "1137", "image": "1137.png", "conversations": [ { "from": "human", "question": "Some friends compared the sizes of their stuffed animal collections. Who has the fewest stuffed animals?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 229.\n\nNow find the corresponding name. Hunter corresponds to 229.", "answer": "Hunter", "table": "**Stuffed animal collections**\n\n| Name | Number of stuffed animals |\n| --- | --- |\n| Celine | 259 |\n| Kimi | 292 |\n| Hunter | 229 |\n| Allie | 252 |" } ] }, { "id": "1142", "image": "1142.png", "conversations": [ { "from": "human", "question": "Ava counted all the beads in each necklace at the jewelry store where she works. What is the largest number of beads?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 5.\n\nNow find the highest leaf in the last row. The highest leaf is 5.\n\nThe largest number of beads has a stem of 5 and a leaf of 5. Write the stem first, then the leaf: 55.\n\nThe largest number of beads is 55 beads.", "answer": "55", "table": "**Beads per necklace**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 8 |\n| 2 | 1 |\n| 3 | 0 |\n| 4 | 0, 5 |\n| 5 | 5 |" } ] }, { "id": "1147", "image": "1147.png", "conversations": [ { "from": "human", "question": "Each bag has 10 plastic beads. How many plastic beads are in 4 bags?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 40 plastic beads in 4 bags.", "answer": "40", "table": "| Number of bags | Number of plastic beads |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | ? |" } ] }, { "id": "1151", "image": "1151.png", "conversations": [ { "from": "human", "question": "The newspaper photographer logged how many pictures he had taken during the past 6 days. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n31, 31, 27, 32, 37, 34\n\nFirst, count how many numbers are in the group.\n\nThere are 6 numbers.\n\nNow add all the numbers together:\n\n31 + 31 + 27 + 32 + 37 + 34 = 192\n\nNow divide the sum by the number of numbers:\n\n192 ÷ 6 = 32\n\nThe mean is 32.", "answer": "32", "table": "**Pictures taken**\n\n| Day | Number of pictures |\n| --- | --- |\n| Sunday | 31 |\n| Monday | 31 |\n| Tuesday | 27 |\n| Wednesday | 32 |\n| Thursday | 37 |\n| Friday | 34 |" } ] }, { "id": "1154", "image": "1154.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{9 - 13}{11 - 10}\n = \\frac{-4}{1}\n = -4\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{5 - 13}{12 - 10}\n = \\frac{-8}{2}\n = -4\nThe two rates of change are the same.\n4.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 10 | 13 |\n| 11 | 9 |\n| 12 | 5 |" } ] }, { "id": "1157", "image": "1157.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{10 - 6}{14 - 13}\n = \\frac{4}{1}\n = 4\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{17 - 6}{15 - 13}\n = \\frac{11}{2}\n = 5\\frac{1}{2}\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 13 | 6 |\n| 14 | 10 |\n| 15 | 17 |" } ] }, { "id": "1163", "image": "1163.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{10 - 18}{12 - 11}\n = \\frac{-8}{1}\n = -8\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{3 - 18}{13 - 11}\n = \\frac{-15}{2}\n = -7\\frac{1}{2}\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 11 | 18 |\n| 12 | 10 |\n| 13 | 3 |" } ] }, { "id": "1165", "image": "1165.png", "conversations": [ { "from": "human", "question": "Each pizza place has 2 cooks. How many cooks are in 5 pizza places?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 10 cooks in 5 pizza places.", "answer": "10", "table": "| Number of pizza places | Number of cooks |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | 6 |\n| 4 | 8 |\n| 5 | ? |" } ] }, { "id": "1168", "image": "1168.png", "conversations": [ { "from": "human", "question": "Mia found a list of the number of roller coasters at each amusement park in the state. How many amusement parks have at least 13 roller coasters?\n" }, { "from": "gpt", "solution": "Find the row with stem 1. Count all the leaves greater than or equal to 3.\n\nCount all the leaves in the rows with stems 2, 3, and 4.\n\nYou counted 12 leaves, which are blue in the stem-and-leaf plots above. 12 amusement parks have at least 13 roller coasters.", "answer": "12", "table": "**Roller coasters per amusement park**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 7, 8, 9 |\n| 2 | 6 |\n| 3 | 1, 6, 7 |\n| 4 | 3, 5, 5, 6, 9 |" } ] }, { "id": "1172", "image": "1172.png", "conversations": [ { "from": "human", "question": "A restaurant's average food preparation time was tracked from day to day as part of an efficiency improvement program. According to the table, what was the rate of change between Tuesday and Wednesday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{41 minutes - 38 minutes}{1 day}\n = \\frac{3 minutes}{1 day}\n = 3 minutes per day\nThe rate of change between Tuesday and Wednesday was 3 minutes per day.", "answer": "3", "table": "**Average food preparation time**\n\n| Day | Food preparation time (minutes) |\n| --- | --- |\n| Tuesday | 38 |\n| Wednesday | 41 |\n| Thursday | 45 |\n| Friday | 39 |\n| Saturday | 39 |" } ] }, { "id": "1174", "image": "1174.png", "conversations": [ { "from": "human", "question": "The owner of an orchard kept records about how many apples were picked in the past 6 days. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n50, 44, 41, 45, 44, 40\n\nFirst, count how many numbers are in the group.\n\nThere are 6 numbers.\n\nNow add all the numbers together:\n\n50 + 44 + 41 + 45 + 44 + 40 = 264\n\nNow divide the sum by the number of numbers:\n\n264 ÷ 6 = 44\n\nThe mean is 44.", "answer": "44", "table": "**Apples picked**\n\n| Day | Number of apples |\n| --- | --- |\n| Tuesday | 50 |\n| Wednesday | 44 |\n| Thursday | 41 |\n| Friday | 45 |\n| Saturday | 44 |\n| Sunday | 40 |" } ] }, { "id": "1183", "image": "1183.png", "conversations": [ { "from": "human", "question": "The staff of a game show tracked the performance of all the contestants during the past season. How many people scored fewer than 68 points?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 2, 3, 4, and 5.\n\nIn the row with stem 6, count all the leaves less than 8.\n\nYou counted 22 leaves, which are blue in the stem-and-leaf plots above. 22 people scored fewer than 68 points.", "answer": "22", "table": "**Game show scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 1, 9 |\n| 3 | 0, 2, 8, 8, 9 |\n| 4 | 1, 1, 1, 1, 4, 8, 9 |\n| 5 | 5, 7, 9, 9 |\n| 6 | 1, 2, 3, 5 |" } ] }, { "id": "1186", "image": "1186.png", "conversations": [ { "from": "human", "question": "Pete counted the number of pieces of pepperoni on each pizza he made. How many pizzas had exactly 39 pieces of pepperoni?\n" }, { "from": "gpt", "solution": "For the number 39, the stem is 3, and the leaf is 9. Find the row where the stem is 3. In that row, count all the leaves equal to 9.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 pizzas had exactly 39 pieces of pepperoni.", "answer": "2", "table": "**Pieces of pepperoni per pizza**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 5 |\n| 2 | 0, 1, 3, 3, 5, 6, 9 |\n| 3 | 6, 9, 9 |\n| 4 | 1, 3, 7 |" } ] }, { "id": "1187", "image": "1187.png", "conversations": [ { "from": "human", "question": "A food industry researcher compiled the revenues of several pizzerias. Which restaurant made the least from cheese pizza sales?\n" }, { "from": "gpt", "solution": "Look at the numbers in the Cheese pizzas column. Find the least number in this column.\n\nThe least number is $6.00, which is in the Pizzeria Italiano row. Pizzeria Italiano made the least from cheese pizza sales.", "answer": "Pizzeria Italiano", "table": "**Pizza sales**\n\n| Restaurant | Cheese pizzas | Pepperoni pizzas |\n| --- | --- | --- |\n| Pizzeria Italiano | $6 | $19 |\n| New York Slice | $10 | $8 |\n| Arnold's Pizzeria | $10 | $9 |" } ] }, { "id": "1190", "image": "1190.png", "conversations": [ { "from": "human", "question": "Some friends compared the sizes of their sticker collections. If you combine their sticker collections, how many stickers do Lisa and Sandeep have?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nLisa: 2,887\nSandeep: 5,435\n\nNow add: 2,887 + 5,435 = 8,322.\n\nLisa and Sandeep have 8,322 stickers.", "answer": "8,322", "table": "**Sticker collections**\n\n| Name | Number of stickers |\n| --- | --- |\n| Lisa | 2,887 |\n| Wanda | 2,123 |\n| Sandeep | 5,435 |\n| Elizabeth | 2,105 |\n| Dakota | 2,387 |" } ] }, { "id": "1198", "image": "1198.png", "conversations": [ { "from": "human", "question": "A machine at the candy factory dispensed different numbers of lemon-flavored candies into various bags. What is the largest number of lemon-flavored candies?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 9.\n\nNow find the highest leaf in the last row. The highest leaf is 0.\n\nThe largest number of lemon-flavored candies has a stem of 9 and a leaf of 0. Write the stem first, then the leaf: 90.\n\nThe largest number of lemon-flavored candies is 90 lemon-flavored candies.", "answer": "90", "table": "**Lemon-flavored candies per bag**\n\n| Stem | Leaf |\n| --- | --- |\n| 0 | 2, 5 |\n| 1 | 3, 5 |\n| 2 | 5 |\n| 3 | 3 |\n| 4 | 7 |\n| 5 | |\n| 6 | 7 |\n| 7 | 4, 6 |\n| 8 | 4, 5 |\n| 9 | 0 |" } ] }, { "id": "1206", "image": "1206.png", "conversations": [ { "from": "human", "question": "How much more does an orchestra ticket cost than a basketball ticket?\n" }, { "from": "gpt", "solution": "Subtract the price of a basketball ticket from the price of an orchestra ticket.\n\n$58.16 - $46.99 = $11.17\n\nAn orchestra ticket costs $11.17 more than a basketball ticket.", "answer": "11.17", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| boat show ticket | $10.39 |\n| basketball ticket | $46.99 |\n| orchestra ticket | $58.16 |\n| car show ticket | $29.89 |" } ] }, { "id": "1217", "image": "1217.png", "conversations": [ { "from": "human", "question": "Shane has $16.00. Does he have enough to buy a navy blue bath mat and a pillow?\n" }, { "from": "gpt", "solution": "Add the price of a navy blue bath mat and the price of a pillow:\n\n$9.59 + $6.89 = $16.48\n\n$16.48 is more than $16.00. Shane does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pillow | $6.89 |\n| green kitchen towel | $2.44 |\n| beach towel | $9.18 |\n| navy blue bath mat | $9.59 |\n| red pillowcase | $2.08 |\n| white washcloth | $1.11 |" } ] }, { "id": "1218", "image": "1218.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{12 - 17}{15 - 14}\n = \\frac{-5}{1}\n = -5\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{7 - 12}{16 - 15}\n = \\frac{-5}{1}\n = -5\nThe two rates of change are the same.\n5.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 14 | 17 |\n| 15 | 12 |\n| 16 | 7 |" } ] }, { "id": "1223", "image": "1223.png", "conversations": [ { "from": "human", "question": "How much money does Aiden need to buy a king snake and a bearded dragon?\n" }, { "from": "gpt", "solution": "Add the price of a king snake and the price of a bearded dragon:\n\n$56.00 + $84.00 = $140.00\n\nAiden needs $140.00.", "answer": "140", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| rabbit | $73.00 |\n| tree frog | $30.00 |\n| king snake | $56.00 |\n| cockatoo | $86.00 |\n| bearded dragon | $84.00 |" } ] }, { "id": "1230", "image": "1230.png", "conversations": [ { "from": "human", "question": "At Riverside Consulting, the head of human resources examined how the number of employees with health care benefits varied in response to policy changes. According to the table, what was the rate of change between 2014 and 2015?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{24 employees - 10 employees}{2015 - 2014}\n = \\frac{24 employees - 10 employees}{1 year}\n = \\frac{14 employees}{1 year}\n = 14 employees per year\nThe rate of change between 2014 and 2015 was 14 employees per year.", "answer": "14", "table": "**Employees with health care benefits**\n\n| Year | Employees |\n| --- | --- |\n| 2014 | 10 |\n| 2015 | 24 |\n| 2016 | 36 |\n| 2017 | 46 |\n| 2018 | 5 |" } ] }, { "id": "1237", "image": "1237.png", "conversations": [ { "from": "human", "question": "The local high school found out how many members each club had. Which club has the fewest members?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 116.\n\nNow find the corresponding club. Spanish club corresponds to 116.", "answer": "Spanish club", "table": "**Club membership**\n\n| Club | Number of members |\n| --- | --- |\n| French club | 186 |\n| math club | 181 |\n| Japanese club | 168 |\n| Spanish club | 116 |" } ] }, { "id": "1243", "image": "1243.png", "conversations": [ { "from": "human", "question": "In science class, Betty is learning about places with extreme temperatures. She learns that the highest temperature ever recorded was in Death Valley, California. She also learns that the lowest temperature ever recorded was in Vostok Station, Antarctica. The record-setting temperatures of the two locations are shown in the table. Which location's temperature was further from zero?\n" }, { "from": "gpt", "solution": "A positive number means the temperature was above zero. A negative number means the temperature was below zero.\nTo find which temperature was further from zero, use absolute value. Absolute value tells you how far a temperature is from zero.\nDeath Valley: |134| = 134\nVostok Station: |-128| = 128\nThe temperature of Death Valley was further from zero. It was 134 degrees above zero.", "answer": "Death Valley", "table": "| Location | Temperature (°F) |\n| --- | --- |\n| Death Valley | 134 |\n| Vostok Station | -128 |" } ] }, { "id": "1244", "image": "1244.png", "conversations": [ { "from": "human", "question": "How much money does Desmond need to buy a centrifuge and an autoclave?\n" }, { "from": "gpt", "solution": "Add the price of a centrifuge and the price of an autoclave:\n\n$3,686.00 + $4,173.00 = $7,859.00\n\nDesmond needs $7,859.00.", "answer": "7,859", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| laboratory freezer | $5,738.00 |\n| centrifuge | $3,686.00 |\n| precision balance | $4,027.00 |\n| microscope | $5,339.00 |\n| autoclave | $4,173.00 |" } ] }, { "id": "1245", "image": "1245.png", "conversations": [ { "from": "human", "question": "What is the total cost for 1 pound of Thousand Island dressing?\n" }, { "from": "gpt", "solution": "Find the cost of the Thousand Island dressing. Multiply the price per pound by the number of pounds.\n\n$3 × 1 = $3\n\nThe total cost is $3.", "answer": "3", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| Italian dressing | $5/lb |\n| balsamic vinaigrette | $6/lb |\n| Thousand Island dressing | $3/lb |\n| raspberry vinaigrette | $4/lb |\n| ranch dressing | $4/lb |\n| blue cheese dressing | $6/lb |" } ] }, { "id": "1246", "image": "1246.png", "conversations": [ { "from": "human", "question": "An agricultural agency is researching how much cheese people have been eating in different parts of the world. How much more cheese did Austria consume per capita in 2006 than in 1996?\n" }, { "from": "gpt", "solution": "Find the Austria row. Find the numbers in this row for 2006 and 1996.\n\n2006: 17\n1996: 10\n\nNow subtract:\n\n17 − 10 = 7\n\nAustria consumed 7 kilograms more cheese per capita in 2006 than in 1996.", "answer": "7", "table": "**Cheese consumption per capita (kg)**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 1996 | 2006 |\n| Austria | 10 | 17 |\n| Great Britain | 9 | 10 |\n| Argentina | 11 | 11 |\n| Canada | 10 | 11 |\n| Australia | 10 | 10 |" } ] }, { "id": "1247", "image": "1247.png", "conversations": [ { "from": "human", "question": "Some friends played a trivia game and recorded their scores. Who had the highest score?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 87.\n\nNow find the corresponding name. Luna corresponds to 87.", "answer": "Luna", "table": "**Trivia game scores**\n\n| Name | Score |\n| --- | --- |\n| Tamir | 81 |\n| Dillon | 82 |\n| Luna | 87 |\n| Wayne | 86 |" } ] }, { "id": "1255", "image": "1255.png", "conversations": [ { "from": "human", "question": "The architecture student counted the number of bricks in each building in her neighborhood. How many buildings have exactly 87 bricks?\n" }, { "from": "gpt", "solution": "For the number 87, the stem is 8, and the leaf is 7. Find the row where the stem is 8. In that row, count all the leaves equal to 7.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 buildings have exactly 87 bricks.", "answer": "4", "table": "**Bricks per building**\n\n| Stem | Leaf |\n| --- | --- |\n| 6 | 0, 6 |\n| 7 | 0, 6, 8 |\n| 8 | 2, 5, 7, 7, 7, 7 |\n| 9 | 0 |" } ] }, { "id": "1257", "image": "1257.png", "conversations": [ { "from": "human", "question": "Javier kept track of how many boxes of cookies he sold over the past 7 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n0, 3, 1, 5, 3, 10, 5\n\nFirst, find the greatest number. The greatest number is 10.\n\nNext, find the least number. The least number is 0.\n\nSubtract the least number from the greatest number:\n\n10 − 0 = 10\n\nThe range is 10.", "answer": "10", "table": "**Boxes of cookies sold**\n\n| Day | Number of boxes |\n| --- | --- |\n| Thursday | 0 |\n| Friday | 3 |\n| Saturday | 1 |\n| Sunday | 5 |\n| Monday | 3 |\n| Tuesday | 10 |\n| Wednesday | 5 |" } ] }, { "id": "1259", "image": "1259.png", "conversations": [ { "from": "human", "question": "A candy dispenser put various numbers of orange candies into bags. How many bags had exactly 42 orange candies?\n" }, { "from": "gpt", "solution": "For the number 42, the stem is 4, and the leaf is 2. Find the row where the stem is 4. In that row, count all the leaves equal to 2.\n\nYou counted 0 leaves. 0 bags had exactly 42 orange candies.", "answer": "0", "table": "**Orange candies per bag**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 2, 5, 6, 7, 8 |\n| 2 | 0, 0, 6, 7, 9 |\n| 3 | 1, 4, 5, 9 |\n| 4 | 1, 5, 5 |" } ] }, { "id": "1260", "image": "1260.png", "conversations": [ { "from": "human", "question": "For a math project, students in Mrs. Holloway's class recorded the number of pets that each student has. How many students have more than 1 pet?\n" }, { "from": "gpt", "solution": "Find the rows for 2, 3, 4, and 5 pets. Add the frequencies for these rows.\n\nAdd:\n\n2 + 7 + 20 + 16 = 45\n\n45 students have more than 1 pet.", "answer": "45", "table": "**Pets**\n\n| Number of pets | Frequency |\n| --- | --- |\n| 0 | 11 |\n| 1 | 0 |\n| 2 | 2 |\n| 3 | 7 |\n| 4 | 20 |\n| 5 | 16 |" } ] }, { "id": "1272", "image": "1272.png", "conversations": [ { "from": "human", "question": "Some friends compared the sizes of their sticker collections. Who has the most stickers?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 779.\n\nNow find the corresponding name. Ivan corresponds to 779.", "answer": "Ivan", "table": "**Sticker collections**\n\n| Name | Number of stickers |\n| --- | --- |\n| Madelyn | 764 |\n| Ivan | 779 |\n| Bridget | 746 |\n| Gina | 767 |" } ] }, { "id": "1274", "image": "1274.png", "conversations": [ { "from": "human", "question": "How much money does Alvin need to buy a red ballpoint pen, a thin blue marker, and an orange marker?\n" }, { "from": "gpt", "solution": "Find the total cost of a red ballpoint pen, a thin blue marker, and an orange marker.\n\n$0.08 + $0.09 + $0.02 = $0.19\n\nAlvin needs $0.19.", "answer": "0.19", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| purple colored pencil | $0.07 |\n| thin blue marker | $0.09 |\n| black pen | $0.01 |\n| red ballpoint pen | $0.08 |\n| pink eraser | $0.07 |\n| orange marker | $0.02 |" } ] }, { "id": "1280", "image": "1280.png", "conversations": [ { "from": "human", "question": "How much more does a designer watch cost than a pair of designer shoes?\n" }, { "from": "gpt", "solution": "Subtract the price of a pair of designer shoes from the price of a designer watch.\n\n$8,476 - $1,514 = $6,962\n\nA designer watch costs $6,962 more than a pair of designer shoes.", "answer": "6,962", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| designer handbag | $1,056 |\n| designer coat | $2,909 |\n| designer ball gown | $6,076 |\n| designer watch | $8,476 |\n| pair of designer boots | $8,620 |\n| pair of designer shoes | $1,514 |" } ] }, { "id": "1284", "image": "1284.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $790, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $790, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $250 | 14,400 | 1,200 |\n| $430 | 11,300 | 5,700 |\n| $610 | 8,200 | 10,200 |\n| $790 | 5,100 | 14,700 |\n| $970 | 2,000 | 19,200 |" } ] }, { "id": "1286", "image": "1286.png", "conversations": [ { "from": "human", "question": "A math textbook explains probability by showing a set of cards numbered 4 through 9 and showing the number of people who might draw each card. How many people are there in all?\n" }, { "from": "gpt", "solution": "Add the frequencies for each row.\n\nAdd:\n\n2 + 7 + 3 + 19 + 16 + 13 = 60\n\nThere are 60 people in all.", "answer": "60", "table": "**Drawing a card between 4 and 9**\n\n| Number drawn | Frequency |\n| --- | --- |\n| 4 | 2 |\n| 5 | 7 |\n| 6 | 3 |\n| 7 | 19 |\n| 8 | 16 |\n| 9 | 13 |" } ] }, { "id": "1288", "image": "1288.png", "conversations": [ { "from": "human", "question": "Some students compared how many pets they have. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n1, 7, 4, 4, 9\n\nFirst, count how many numbers are in the group.\n\nThere are 5 numbers.\n\nNow add all the numbers together:\n\n1 + 7 + 4 + 4 + 9 = 25\n\nNow divide the sum by the number of numbers:\n\n25 ÷ 5 = 5\n\nThe mean is 5.", "answer": "5", "table": "**Pets**\n\n| Name | Number of pets |\n| --- | --- |\n| Dustin | 1 |\n| Matt | 7 |\n| Aubrey | 4 |\n| Brittany | 4 |\n| Leon | 9 |" } ] }, { "id": "1290", "image": "1290.png", "conversations": [ { "from": "human", "question": "Marvin purchased 4 pounds of granulated sugar. What was the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the granulated sugar. Multiply the price per pound by the number of pounds.\n\n$6.33 × 4 = $25.32\n\nThe total cost was $25.32.", "answer": "25.32", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| powdered sugar | $2.17 per lb |\n| granulated sugar | $6.33 per lb |\n| dark brown sugar | $2.38 per lb |\n| agave syrup | $6.37 per lb |" } ] }, { "id": "1294", "image": "1294.png", "conversations": [ { "from": "human", "question": "Each town has 5 schools. How many schools are in 4 towns?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 20 schools in 4 towns.", "answer": "20", "table": "| Number of towns | Number of schools |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | ? |" } ] }, { "id": "1295", "image": "1295.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $1,110, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $1,110, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $970 | 13,600 | 12,400 |\n| $1,040 | 11,000 | 14,900 |\n| $1,110 | 8,400 | 17,400 |\n| $1,180 | 5,800 | 19,900 |\n| $1,250 | 3,200 | 22,400 |" } ] }, { "id": "1304", "image": "1304.png", "conversations": [ { "from": "human", "question": "What is the total cost for 3 pounds of potatoes and 2 pounds of yams?\n" }, { "from": "gpt", "solution": "Find the cost of the potatoes. Multiply:\n\n$1 × 3 = $3\n\nFind the cost of the yams. Multiply:\n\n$2 × 2 = $4\n\nNow find the total cost by adding:\n\n$3 + $4 = $7\n\nThe total cost is $7.", "answer": "7", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| beets | $3/pound |\n| potatoes | $1/pound |\n| cucumbers | $2/pound |\n| yams | $2/pound |" } ] }, { "id": "1305", "image": "1305.png", "conversations": [ { "from": "human", "question": "Each year the Cedarburg School District publishes its annual budget, which includes information on the sports program's per-student spending. According to the table, what was the rate of change between 2010 and 2011?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{$26 - $23}{2011 - 2010}\n = \\frac{$26 - $23}{1 year}\n = \\frac{$3}{1 year}\n = $3 per year\nThe rate of change between 2010 and 2011 was $3 per year.", "answer": "3", "table": "**Cedarburg School District sports budget**\n\n| Year | Per-student budget |\n| --- | --- |\n| 2009 | $27 |\n| 2010 | $23 |\n| 2011 | $26 |\n| 2012 | $19 |\n| 2013 | $30 |" } ] }, { "id": "1311", "image": "1311.png", "conversations": [ { "from": "human", "question": "Vicky kept track of how many boxes of cookies she sold over the past 5 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n4, 9, 1, 4, 1\n\nFirst, arrange the numbers from least to greatest:\n\n1, 1, 4, 4, 9\n\nNow find the number in the middle.\n\n1, 1, 4, 4, 9\n\nThe number in the middle is 4.\n\nThe median is 4.", "answer": "4", "table": "**Boxes of cookies sold**\n\n| Day | Number of boxes |\n| --- | --- |\n| Thursday | 4 |\n| Friday | 9 |\n| Saturday | 1 |\n| Sunday | 4 |\n| Monday | 1 |" } ] }, { "id": "1312", "image": "1312.png", "conversations": [ { "from": "human", "question": "Lorenzo kept track of how many kilometers he walked during the past 6 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n3, 5, 7, 7, 10, 2\n\nFirst, find the greatest number. The greatest number is 10.\n\nNext, find the least number. The least number is 2.\n\nSubtract the least number from the greatest number:\n\n10 − 2 = 8\n\nThe range is 8.", "answer": "8", "table": "**Kilometers walked**\n\n| Day | Kilometers |\n| --- | --- |\n| Tuesday | 3 |\n| Wednesday | 5 |\n| Thursday | 7 |\n| Friday | 7 |\n| Saturday | 10 |\n| Sunday | 2 |" } ] }, { "id": "1313", "image": "1313.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{6 - 13}{5 - 4}\n = \\frac{-7}{1}\n = -7\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{0 - 6}{6 - 5}\n = \\frac{-6}{1}\n = -6\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 4 | 13 |\n| 5 | 6 |\n| 6 | 0 |" } ] }, { "id": "1316", "image": "1316.png", "conversations": [ { "from": "human", "question": "The teachers at a middle school counted how many computers they had in their classrooms. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n8, 15, 5, 12, 20, 6\n\nFirst, count how many numbers are in the group.\n\nThere are 6 numbers.\n\nNow add all the numbers together:\n\n8 + 15 + 5 + 12 + 20 + 6 = 66\n\nNow divide the sum by the number of numbers:\n\n66 ÷ 6 = 11\n\nThe mean is 11.", "answer": "11", "table": "**Computers in classrooms**\n\n| Teacher | Number of computers |\n| --- | --- |\n| Mrs. Jansen | 8 |\n| Mr. Morales | 15 |\n| Ms. Cohen | 5 |\n| Mrs. Tan | 12 |\n| Mr. Schmidt | 20 |\n| Miss Murphy | 6 |" } ] }, { "id": "1318", "image": "1318.png", "conversations": [ { "from": "human", "question": "A farm equipment company kept a record of the number of tractors made each month. In which month did the company make the most tractors?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 898.\n\nNow find the corresponding month. March corresponds to 898.", "answer": "March", "table": "**Tractors made**\n\n| Month | Number of tractors |\n| --- | --- |\n| December | 885 |\n| January | 859 |\n| February | 895 |\n| March | 898 |" } ] }, { "id": "1321", "image": "1321.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does European History class begin?\n" }, { "from": "gpt", "solution": "Find European History class on the schedule. Find the beginning time for European History class.\n\nEuropean History: 9:50 A. M.", "answer": "9:50 A.M.", "table": "**Class schedule**\n\n| Subject | Begin | End |\n| --- | --- | --- |\n| European History | 9:50 A.M. | 10:35 A.M. |\n| Japanese | 11:05 A.M. | 12:10 P.M. |\n| Plant Biology | 12:20 P.M. | 1:45 P.M. |\n| Russian | 2:25 P.M. | 3:25 P.M. |\n| Golf | 3:35 P.M. | 5:05 P.M. |\n| Creative Writing | 5:30 P.M. | 6:00 P.M. |" } ] }, { "id": "1326", "image": "1326.png", "conversations": [ { "from": "human", "question": "A crayon factory monitored the number of broken crayons per box during the past day. How many boxes had at least 44 broken crayons but fewer than 54 broken crayons?\n" }, { "from": "gpt", "solution": "Find the row with stem 4. Count all the leaves greater than or equal to 4.\n\nIn the row with stem 5, count all the leaves less than 4.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plots above. 2 boxes had at least 44 broken crayons but fewer than 54 broken crayons.", "answer": "2", "table": "**Broken crayons per box**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 0, 0, 2, 4, 5, 5, 9 |\n| 3 | 0, 2, 8, 9, 9 |\n| 4 | |\n| 5 | 0, 3, 6, 8 |\n| 6 | 4, 6 |" } ] }, { "id": "1334", "image": "1334.png", "conversations": [ { "from": "human", "question": "How much money does Florence need to buy a pair of designer shoes, a designer coat, and a designer handbag?\n" }, { "from": "gpt", "solution": "Find the total cost of a pair of designer shoes, a designer coat, and a designer handbag.\n\n$587 + $582 + $823 = $1,992\n\nFlorence needs $1,992.", "answer": "1,992", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pair of designer shoes | $587 |\n| designer scarf | $746 |\n| pair of designer boots | $548 |\n| designer skirt | $215 |\n| designer coat | $582 |\n| designer handbag | $823 |" } ] }, { "id": "1340", "image": "1340.png", "conversations": [ { "from": "human", "question": "Laura jotted down how many minutes she spent practicing golf in the past 4 days. On which day did Laura practice the least?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 62.\n\nNow find the corresponding day. Friday corresponds to 62.", "answer": "Friday", "table": "**Minutes spent practicing**\n\n| Day | Minutes |\n| --- | --- |\n| Thursday | 68 |\n| Friday | 62 |\n| Saturday | 67 |\n| Sunday | 64 |" } ] }, { "id": "1341", "image": "1341.png", "conversations": [ { "from": "human", "question": "How much money does Lena need to buy a four-inch nail, an elastic band, and a brass clip?\n" }, { "from": "gpt", "solution": "Find the total cost of a four-inch nail, an elastic band, and a brass clip.\n\n$0.04 + $0.06 + $0.08 = $0.18\n\nLena needs $0.18.", "answer": "0.18", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| four-inch nail | $0.04 |\n| small metal hook | $0.03 |\n| brass clip | $0.08 |\n| elastic band | $0.06 |" } ] }, { "id": "1344", "image": "1344.png", "conversations": [ { "from": "human", "question": "A garden supply store kept track of how many lawn mowers it sold in the past 5 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 6, 9, 5, 6\n\nFirst, arrange the numbers from least to greatest:\n\n5, 6, 6, 6, 9\n\nNow find the number in the middle.\n\n5, 6, 6, 6, 9\n\nThe number in the middle is 6.\n\nThe median is 6.", "answer": "6", "table": "**Lawn mowers sold**\n\n| Day | Number of lawn mowers |\n| --- | --- |\n| Saturday | 6 |\n| Sunday | 6 |\n| Monday | 9 |\n| Tuesday | 5 |\n| Wednesday | 6 |" } ] }, { "id": "1356", "image": "1356.png", "conversations": [ { "from": "human", "question": "In the first episode of a reality show, contestants had to spin two wheels of fate. Spinning the first wheel determined the remote location where contestants would reside for the duration of the season. Spinning the second wheel determined which \"bonus survival tool\" they would be allowed to bring, along with a few other necessary items. What is the probability that a randomly selected participant spun the second wheel and landed on a tent and spun the first wheel and landed on desert? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the participant spun the second wheel and landed on a tent\" and B be the event \"the participant spun the first wheel and landed on desert\".\nTo find the probability that a participant spun the second wheel and landed on a tent and spun the first wheel and landed on desert, first identify the sample space and the event.\nThe outcomes in the sample space are the different participants. Each participant is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the participant spun the second wheel and landed on a tent and spun the first wheel and landed on desert\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the participant spun the second wheel and landed on a tent and spun the first wheel and landed on desert\", so look at the table to see how many participants spun the second wheel and landed on a tent and spun the first wheel and landed on desert.\nThe number of participants who spun the second wheel and landed on a tent and spun the first wheel and landed on desert is 3.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of participants.\n3 + 5 + 1 + 4 = 13\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{3}{13}\nThe probability that a participant spun the second wheel and landed on a tent and spun the first wheel and landed on desert is \\frac{3}{13}.", "answer": "3/13", "table": "| | Desert | Rainforest |\n| --- | --- | --- |\n| A tent | 3 | 1 |\n| Matches | 5 | 4 |" } ] }, { "id": "1359", "image": "1359.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{8 - 5}{17 - 16}\n = \\frac{3}{1}\n = 3\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{14 - 8}{18 - 17}\n = \\frac{6}{1}\n = 6\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 16 | 5 |\n| 17 | 8 |\n| 18 | 14 |" } ] }, { "id": "1365", "image": "1365.png", "conversations": [ { "from": "human", "question": "Shelby was a spectator at her town's air guitar competition. Contestants were allowed to play either the acoustic or electric air guitar, but not both. Shelby recorded which type of guitar each contestant played. She also counted the number of contestants wearing different kinds of pants, as there were some interesting stylistic choices. What is the probability that a randomly selected contestant was dressed in velvet and played an electric guitar? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the contestant was dressed in velvet\" and B be the event \"the contestant played an electric guitar\".\nTo find the probability that a contestant was dressed in velvet and played an electric guitar, first identify the sample space and the event.\nThe outcomes in the sample space are the different contestants. Each contestant is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the contestant was dressed in velvet and played an electric guitar\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the contestant was dressed in velvet and played an electric guitar\", so look at the table to see how many contestants were dressed in velvet and played an electric guitar.\nThe number of contestants who were dressed in velvet and played an electric guitar is 1.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of contestants.\n2 + 4 + 4 + 1 = 11\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{1}{11}\nThe probability that a contestant was dressed in velvet and played an electric guitar is \\frac{1}{11}.", "answer": "1/11", "table": "| | Acoustic guitar | Electric guitar |\n| --- | --- | --- |\n| Leather | 2 | 4 |\n| Velvet | 4 | 1 |" } ] }, { "id": "1375", "image": "1375.png", "conversations": [ { "from": "human", "question": "Shelley looked at the dates of the digital photos on her computer to find out how many she had taken in the past 5 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n2, 1, 7, 1, 10\n\nFirst, arrange the numbers from least to greatest:\n\n1, 1, 2, 7, 10\n\nNow find the number in the middle.\n\n1, 1, 2, 7, 10\n\nThe number in the middle is 2.\n\nThe median is 2.", "answer": "2", "table": "**Photographs taken**\n\n| Day | Number of photographs |\n| --- | --- |\n| Sunday | 2 |\n| Monday | 1 |\n| Tuesday | 7 |\n| Wednesday | 1 |\n| Thursday | 10 |" } ] }, { "id": "1384", "image": "1384.png", "conversations": [ { "from": "human", "question": "A grocery store chain tracked the number of trips people made to its stores last week. How many people went to the grocery store exactly 3 times last week?\n" }, { "from": "gpt", "solution": "Find the row for 3 times and read the frequency. The frequency is 19.\n\n19 people went to the grocery store exactly 3 times last week.", "answer": "19", "table": "**Trips to the grocery store last week**\n\n| Number of trips | Frequency |\n| --- | --- |\n| 1 | 15 |\n| 2 | 16 |\n| 3 | 19 |\n| 4 | 13 |" } ] }, { "id": "1393", "image": "1393.png", "conversations": [ { "from": "human", "question": "Liam has two dogs, Sprinkles and Champ. He is concerned because Sprinkles keeps eating Champ's food. Liam asks their vet how much each dog's weight has changed since their last visit. Which dog's weight has changed the most?\n" }, { "from": "gpt", "solution": "To find which dog's weight changed the most, use absolute value. Absolute value tells you how much each dog's weight has changed.\nSprinkles: |5| = 5\nChamp: |-6| = 6\nChamp's weight has changed the most. He has lost 6 ounces.", "answer": "Champ", "table": "| Dog | Weight change (oz.) |\n| --- | --- |\n| Sprinkles | 5 |\n| Champ | -6 |" } ] }, { "id": "1401", "image": "1401.png", "conversations": [ { "from": "human", "question": "How much money does Darell need to buy 3 tickets for a Hawaiian cruise and 8 tickets for a South American cruise?\n" }, { "from": "gpt", "solution": "Find the cost of 3 tickets for a Hawaiian cruise.\n\n$5,065.00 × 3 = $15,195.00\n\nFind the cost of 8 tickets for a South American cruise.\n\n$5,581.00 × 8 = $44,648.00\n\nNow find the total cost.\n\n$15,195.00 + $44,648.00 = $59,843.00\n\nDarell needs $59,843.00.", "answer": "59,843", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| ticket for a South American cruise | $5,581.00 |\n| ticket for a Hawaiian cruise | $5,065.00 |\n| ticket for an Australian cruise | $7,479.00 |\n| ticket for an Alaskan cruise | $6,192.00 |\n| ticket for an Atlantic cruise | $3,290.00 |" } ] }, { "id": "1404", "image": "1404.png", "conversations": [ { "from": "human", "question": "Some friends played a trivia game and recorded their scores. Who had the highest score?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 995.\n\nNow find the corresponding name. Marie corresponds to 995.", "answer": "Marie", "table": "**Trivia game scores**\n\n| Name | Score |\n| --- | --- |\n| Christine | 985 |\n| Marie | 995 |\n| Katy | 958 |\n| Jasper | 989 |" } ] }, { "id": "1423", "image": "1423.png", "conversations": [ { "from": "human", "question": "Professor Henson informed his students of their scores on the midterm exam. How many students scored exactly 45 points?\n" }, { "from": "gpt", "solution": "For the number 45, the stem is 4, and the leaf is 5. Find the row where the stem is 4. In that row, count all the leaves equal to 5.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 students scored exactly 45 points.", "answer": "3", "table": "**Midterm exam scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 1, 1, 4, 4, 7, 8, 9 |\n| 4 | 2, 5, 5, 5, 6, 8 |\n| 5 | 4, 8 |\n| 6 | 1, 2, 3, 4, 6, 9 |" } ] }, { "id": "1428", "image": "1428.png", "conversations": [ { "from": "human", "question": "Jon's Crafts is interested in offering a scarf knitting class, so the store considers how many scarves people already own. How many people have fewer than 2 scarves?\n" }, { "from": "gpt", "solution": "Find the rows for 0 and 1 scarf. Add the frequencies for these rows.\n\nAdd:\n\n20 + 14 = 34\n\n34 people have fewer than 2 scarves.", "answer": "34", "table": "**Scarves**\n\n| Number of scarves | Frequency |\n| --- | --- |\n| 0 | 20 |\n| 1 | 14 |\n| 2 | 3 |\n| 3 | 4 |\n| 4 | 7 |" } ] }, { "id": "1434", "image": "1434.png", "conversations": [ { "from": "human", "question": "Dominic has $72.00. Does he have enough to buy a play ticket and a soccer ticket?\n" }, { "from": "gpt", "solution": "Add the price of a play ticket and the price of a soccer ticket:\n\n$24.00 + $50.00 = $74.00\n\n$74.00 is more than $72.00. Dominic does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| play ticket | $24.00 |\n| comedy show ticket | $49.00 |\n| boat show ticket | $23.00 |\n| soccer ticket | $50.00 |" } ] }, { "id": "1443", "image": "1443.png", "conversations": [ { "from": "human", "question": "Lara has $116.00. Does she have enough to buy a stuffed animal and a model railroad set?\n" }, { "from": "gpt", "solution": "Add the price of a stuffed animal and the price of a model railroad set:\n\n$13.00 + $98.00 = $111.00\n\n$111.00 is less than $116.00. Lara does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| toy guitar | $17.00 |\n| model railroad set | $98.00 |\n| video game | $38.00 |\n| stuffed animal | $13.00 |\n| board game | $17.00 |" } ] }, { "id": "1450", "image": "1450.png", "conversations": [ { "from": "human", "question": "How much money does Joel need to buy a trivia game and a toy piano?\n" }, { "from": "gpt", "solution": "Add the price of a trivia game and the price of a toy piano:\n\n$10.43 + $16.14 = $26.57\n\nJoel needs $26.57.", "answer": "26.57", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| toy piano | $16.14 |\n| mystery game | $17.01 |\n| video game | $32.37 |\n| model railroad set | $34.19 |\n| chess board | $13.70 |\n| trivia game | $10.43 |" } ] }, { "id": "1456", "image": "1456.png", "conversations": [ { "from": "human", "question": "While hanging Christmas lights for neighbors, Kayla counted the number of broken lights on each string. What is the smallest number of broken lights?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 2.\n\nNow find the lowest leaf in the first row. The lowest leaf is 4.\n\nThe smallest number of broken lights has a stem of 2 and a leaf of 4. Write the stem first, then the leaf: 24.\n\nThe smallest number of broken lights is 24 broken lights.", "answer": "24", "table": "**Broken lights per string**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 4 |\n| 3 | 4, 7 |\n| 4 | 5, 7, 9 |\n| 5 | 3, 5, 8, 8 |\n| 6 | 6 |\n| 7 | 0, 8, 9 |\n| 8 | 7, 8 |" } ] }, { "id": "1460", "image": "1460.png", "conversations": [ { "from": "human", "question": "A baker wrote down how many pies she made in the past 5 days. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n3, 1, 3, 1, 1\n\nFirst, arrange the numbers from least to greatest:\n\n1, 1, 1, 3, 3\n\nNow count how many times each number appears.\n\n1 appears 3 times.\n3 appears 2 times.\n\nThe number that appears most often is 1.\n\nThe mode is 1.", "answer": "1", "table": "**Pies baked**\n\n| Day | Number of pies |\n| --- | --- |\n| Thursday | 3 |\n| Friday | 1 |\n| Saturday | 3 |\n| Sunday | 1 |\n| Monday | 1 |" } ] }, { "id": "1461", "image": "1461.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does the Lions versus Blue Jays game begin?\n" }, { "from": "gpt", "solution": "Find the Lions versus Blue Jays game on the schedule. Find the beginning time for the Lions versus Blue Jays game.\n\nLions versus Blue Jays: 10:40 A. M.", "answer": "10:40 A.M.", "table": "**Soccer tournament schedule**\n\n| Game | Begin | End |\n| --- | --- | --- |\n| Fire versus Blizzard | 8:55 A.M. | 10:25 A.M. |\n| Cardinals versus Cobras | 9:30 A.M. | 11:00 A.M. |\n| Lions versus Blue Jays | 10:40 A.M. | 12:10 P.M. |\n| Tigers versus Wolves | 11:25 A.M. | 12:55 P.M. |\n| Thunder versus Eagles | 12:40 P.M. | 2:10 P.M. |" } ] }, { "id": "1463", "image": "1463.png", "conversations": [ { "from": "human", "question": "The board of commerce recorded how many employees work at each company. How many more employees work at Downtown Publishing than at Madison Corporation?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nDowntown Publishing: 7,421\nMadison Corporation: 5,465\n\nNow subtract: 7,421 - 5,465 = 1,956.\n\n1,956 more employees work at Downtown Publishing.", "answer": "1,956", "table": "**Company sizes**\n\n| Company | Number of employees |\n| --- | --- |\n| Bronson Attorneys | 4,452 |\n| Madison Corporation | 5,465 |\n| Downtown Publishing | 7,421 |" } ] }, { "id": "1476", "image": "1476.png", "conversations": [ { "from": "human", "question": "How much money does Jamal need to buy 6 blue sweaters?\n" }, { "from": "gpt", "solution": "Find the total cost of 6 blue sweaters by multiplying 6 times the price of a blue sweater.\n\n$5.38 × 6 = $32.28\n\nJamal needs $32.28.", "answer": "32.28", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| blue sweater | $5.38 |\n| striped shirt | $7.32 |\n| pair of shorts | $5.02 |\n| pair of white socks | $2.02 |" } ] }, { "id": "1483", "image": "1483.png", "conversations": [ { "from": "human", "question": "Mrs. Kim hosts an annual art contest for kids, and she keeps a record of the number of entries each year. According to the table, what was the rate of change between 2014 and 2015?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{37 entries - 35 entries}{2015 - 2014}\n = \\frac{37 entries - 35 entries}{1 year}\n = \\frac{2 entries}{1 year}\n = 2 entries per year\nThe rate of change between 2014 and 2015 was 2 entries per year.", "answer": "2", "table": "**Art contest entries**\n\n| Year | Number of entries |\n| --- | --- |\n| 2011 | 24 |\n| 2012 | 32 |\n| 2013 | 28 |\n| 2014 | 35 |\n| 2015 | 37 |" } ] }, { "id": "1485", "image": "1485.png", "conversations": [ { "from": "human", "question": "For an assignment, Nicole looked at which countries got the most Nobel Prizes in various decades. In the 1980s, how many more Nobel Prize winners did France have than Russia?\n" }, { "from": "gpt", "solution": "Find the 1980 s column. Find the numbers in this column for France and Russia.\n\nFrance: 5\nRussia: 1\n\nNow subtract:\n\n5 − 1 = 4\n\nFrance had 4 more Nobel Prize winners in the 1980 s than Russia.", "answer": "4", "table": "**Nobel Prize winners**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 1970s | 1980s |\n| Holland | 2 | 2 |\n| Germany | 9 | 11 |\n| France | 3 | 5 |\n| Russia | 5 | 1 |" } ] }, { "id": "1488", "image": "1488.png", "conversations": [ { "from": "human", "question": "Addison purchased 3 kilograms of size 3 screws and 5 kilograms of size 5 screws. What was the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the size 3 screws. Multiply:\n\n$3.16 × 3 = $9.48\n\nFind the cost of the size 5 screws. Multiply:\n\n$4.28 × 5 = $21.40\n\nNow find the total cost by adding:\n\n$9.48 + $21.40 = $30.88\n\nThe total cost was $30.88.", "answer": "30.88", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| size 5 screws | $4.28/kilogram |\n| size 6 screws | $3.75/kilogram |\n| size 2 screws | $3.84/kilogram |\n| size 4 screws | $2.79/kilogram |\n| size 3 screws | $3.16/kilogram |\n| size 1 screws | $4.49/kilogram |" } ] }, { "id": "1489", "image": "1489.png", "conversations": [ { "from": "human", "question": "Sophie kept a log of how many pages she read each month. In which month did Sophie read the most pages?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 252.\n\nNow find the corresponding month. February corresponds to 252.", "answer": "February", "table": "**Pages read**\n\n| Month | Number of pages |\n| --- | --- |\n| January | 221 |\n| February | 252 |\n| March | 251 |\n| April | 215 |" } ] }, { "id": "1492", "image": "1492.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{5 - 3}{13 - 12}\n = \\frac{2}{1}\n = 2\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{15 - 5}{14 - 13}\n = \\frac{10}{1}\n = 10\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 12 | 3 |\n| 13 | 5 |\n| 14 | 15 |" } ] }, { "id": "1502", "image": "1502.png", "conversations": [ { "from": "human", "question": "Each field has 2 cows. How many cows are in 6 fields?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 12 cows in 6 fields.", "answer": "12", "table": "| Number of fields | Number of cows |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | 6 |\n| 4 | 8 |\n| 5 | 10 |\n| 6 | ? |" } ] }, { "id": "1504", "image": "1504.png", "conversations": [ { "from": "human", "question": "Natalie's family went on a road trip and counted the number of cars they saw each day. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n97, 100, 92, 100, 99, 95, 96\n\nFirst, count how many numbers are in the group.\n\nThere are 7 numbers.\n\nNow add all the numbers together:\n\n97 + 100 + 92 + 100 + 99 + 95 + 96 = 679\n\nNow divide the sum by the number of numbers:\n\n679 ÷ 7 = 97\n\nThe mean is 97.", "answer": "97", "table": "**Number of cars**\n\n| Day | Number of cars |\n| --- | --- |\n| Sunday | 97 |\n| Monday | 100 |\n| Tuesday | 92 |\n| Wednesday | 100 |\n| Thursday | 99 |\n| Friday | 95 |\n| Saturday | 96 |" } ] }, { "id": "1515", "image": "1515.png", "conversations": [ { "from": "human", "question": "Mia's P.E. class participated in a push-up competition, and Mia wrote down how many push-ups each person could do. How many people did exactly 51 push-ups?\n" }, { "from": "gpt", "solution": "For the number 51, the stem is 5, and the leaf is 1. Find the row where the stem is 5. In that row, count all the leaves equal to 1.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 people did exactly 51 push-ups.", "answer": "2", "table": "**Push-up competition (number of push-ups)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 8 |\n| 2 | 0, 1, 6, 8 |\n| 3 | 9 |\n| 4 | 1 |\n| 5 | 0, 1, 1, 2, 9 |\n| 6 | 0, 0, 6 |\n| 7 | 4 |\n| 8 | 6 |\n| 9 | 0 |" } ] }, { "id": "1525", "image": "1525.png", "conversations": [ { "from": "human", "question": "Maria counted the pages in each book on her English class's required reading list. How many books had less than 77 pages?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 5 and 6.\n\nIn the row with stem 7, count all the leaves less than 7.\n\nYou counted 12 leaves, which are blue in the stem-and-leaf plots above. 12 books had less than 77 pages.", "answer": "12", "table": "**Pages per book**\n\n| Stem | Leaf |\n| --- | --- |\n| 5 | 0, 5, 7, 7 |\n| 6 | 0, 0, 4, 5, 5, 5 |\n| 7 | 2, 2 |\n| 8 | 2, 5, 8 |\n| 9 | 0 |" } ] }, { "id": "1529", "image": "1529.png", "conversations": [ { "from": "human", "question": "The staff of a newspaper examined the number of copies sold over the past 4 days. On which day were the fewest copies sold?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 337.\n\nNow find the corresponding day. Tuesday corresponds to 337.", "answer": "Tuesday", "table": "**Newspapers sold**\n\n| Day | Number of newspapers |\n| --- | --- |\n| Tuesday | 337 |\n| Wednesday | 375 |\n| Thursday | 357 |\n| Friday | 353 |" } ] }, { "id": "1531", "image": "1531.png", "conversations": [ { "from": "human", "question": "Each year, the campers at Zachary's summer camp try to set that summer's record for finishing the obstacle course as quickly as possible. According to the table, what was the rate of change between 2009 and 2010?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{29 minutes - 26 minutes}{2010 - 2009}\n = \\frac{29 minutes - 26 minutes}{1 year}\n = \\frac{3 minutes}{1 year}\n = 3 minutes per year\nThe rate of change between 2009 and 2010 was 3 minutes per year.", "answer": "3", "table": "**Record obstacle course completion times**\n\n| Year | Record time (minutes) |\n| --- | --- |\n| 2006 | 25 |\n| 2007 | 26 |\n| 2008 | 26 |\n| 2009 | 26 |\n| 2010 | 29 |" } ] }, { "id": "1532", "image": "1532.png", "conversations": [ { "from": "human", "question": "How much more does a computer mouse cost than a CD?\n" }, { "from": "gpt", "solution": "Subtract the price of a CD from the price of a computer mouse.\n\n$20 - $17 = $3\n\nA computer mouse costs $3 more than a CD.", "answer": "3", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| microwave | $93 |\n| television | $88 |\n| CD | $17 |\n| computer mouse | $20 |\n| telephone | $25 |" } ] }, { "id": "1539", "image": "1539.png", "conversations": [ { "from": "human", "question": "Christine counted the number of words per page in her new book. How many pages have at least 40 words but fewer than 60 words?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 4 and 5.\n\nYou counted 5 leaves, which are blue in the stem-and-leaf plot above. 5 pages have at least 40 words but fewer than 60 words.", "answer": "5", "table": "**Words per page**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 2 |\n| 5 | 0, 0, 2, 8 |\n| 6 | 1, 2, 3, 7 |\n| 7 | 5 |\n| 8 | 0, 3, 6 |\n| 9 | 0 |" } ] }, { "id": "1548", "image": "1548.png", "conversations": [ { "from": "human", "question": "Principal Levin reported the state test scores from some students at her school. How many students scored at least 10 points?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1, 2, 3, 4, and 5.\n\nYou counted 24 leaves, which are blue in the stem-and-leaf plot above. 24 students scored at least 10 points.", "answer": "24", "table": "**Test scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 5, 7, 8, 9 |\n| 2 | 1, 2, 7 |\n| 3 | 1, 4, 5, 8 |\n| 4 | 0, 1, 4, 4, 4, 6, 8 |\n| 5 | 2, 4, 7, 9, 9 |" } ] }, { "id": "1549", "image": "1549.png", "conversations": [ { "from": "human", "question": "An airline pilot recorded how many miles she flew each month. How many more miles did the pilot fly in October than in September?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nOctober: 6,312\nSeptember: 3,330\n\nNow subtract: 6,312 - 3,330 = 2,982.\n\nThe pilot flew 2,982 more miles in October.", "answer": "2,982", "table": "**Miles flown**\n\n| Month | Miles |\n| --- | --- |\n| September | 3,330 |\n| October | 6,312 |\n| November | 8,778 |" } ] }, { "id": "1551", "image": "1551.png", "conversations": [ { "from": "human", "question": "Isaac's classmates recorded how many books they read last year. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n38, 38, 36, 38, 36\n\nFirst, arrange the numbers from least to greatest:\n\n36, 36, 38, 38, 38\n\nNow count how many times each number appears.\n\n36 appears 2 times.\n38 appears 3 times.\n\nThe number that appears most often is 38.\n\nThe mode is 38.", "answer": "38", "table": "**Books read**\n\n| Name | Number of books |\n| --- | --- |\n| Isaac | 38 |\n| Diane | 38 |\n| Stefan | 36 |\n| Peter | 38 |\n| Ronald | 36 |" } ] }, { "id": "1561", "image": "1561.png", "conversations": [ { "from": "human", "question": "Each dish has 5 walnuts. How many walnuts are in 3 dishes?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 15 walnuts in 3 dishes.", "answer": "15", "table": "| Number of dishes | Number of walnuts |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | ? |" } ] }, { "id": "1562", "image": "1562.png", "conversations": [ { "from": "human", "question": "Manuel, who has five different fruit trees growing in his yard, kept track of how many pieces of fruit he picked this year. What fraction of the pieces of fruit picked were oranges? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many oranges were picked.\n\n100\n\nFind how many pieces of fruit were picked in total.\n\n39 + 40 + 23 + 100 + 40 = 242\n\nDivide 100 by242.\n\n\\frac{100}{242}\n\nReduce the fraction.\n\n\\frac{100}{242} → \\frac{50}{121}\n\n\\frac{50}{121} of oranges were picked.", "answer": "50/121", "table": "**Pieces of fruit picked**\n\n| Fruits | Pieces of fruit |\n| --- | --- |\n| Persimmons | 39 |\n| Lemons | 40 |\n| Apples | 23 |\n| Oranges | 100 |\n| Peaches | 40 |" } ] }, { "id": "1566", "image": "1566.png", "conversations": [ { "from": "human", "question": "Some students compared how many blocks they live from school. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n10, 5, 10, 7, 7, 6, 8, 3\n\nFirst, count how many numbers are in the group.\n\nThere are 8 numbers.\n\nNow add all the numbers together:\n\n10 + 5 + 10 + 7 + 7 + 6 + 8 + 3 = 56\n\nNow divide the sum by the number of numbers:\n\n56 ÷ 8 = 7\n\nThe mean is 7.", "answer": "7", "table": "**Blocks from school**\n\n| Name | Number of blocks |\n| --- | --- |\n| Zach | 10 |\n| Farid | 5 |\n| Colette | 10 |\n| Russell | 7 |\n| Dalton | 7 |\n| Andy | 6 |\n| Michael | 8 |\n| Ernesto | 3 |" } ] }, { "id": "1568", "image": "1568.png", "conversations": [ { "from": "human", "question": "After a spelling bee, some students compared how many words they spelled correctly. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n23, 23, 21, 23, 21, 24\n\nFirst, arrange the numbers from least to greatest:\n\n21, 21, 23, 23, 23, 24\n\nNow count how many times each number appears.\n\n21 appears 2 times.\n23 appears 3 times.\n24 appears 1 time.\n\nThe number that appears most often is 23.\n\nThe mode is 23.", "answer": "23", "table": "**Spelling bee results**\n\n| Name | Number of words spelled correctly |\n| --- | --- |\n| Kathleen | 23 |\n| Helen | 23 |\n| Michelle | 21 |\n| Carson | 23 |\n| Jill | 21 |\n| Franco | 24 |" } ] }, { "id": "1569", "image": "1569.png", "conversations": [ { "from": "human", "question": "An administrator at the Department of Motor Vehicles (DMV) tracked the average wait time from month to month. According to the table, what was the rate of change between June and July?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{35 minutes - 17 minutes}{1 month}\n = \\frac{18 minutes}{1 month}\n = 18 minutes per month\nThe rate of change between June and July was 18 minutes per month.", "answer": "18", "table": "**Average waiting time at the DMV**\n\n| Month | Waiting time (minutes) |\n| --- | --- |\n| April | 7 |\n| May | 47 |\n| June | 17 |\n| July | 35 |\n| August | 24 |" } ] }, { "id": "1572", "image": "1572.png", "conversations": [ { "from": "human", "question": "Look at Carson's pay stub. Carson lives in a state without state income tax. How much did Carson make after taxes?\n" }, { "from": "gpt", "solution": "Find how much Carson made after taxes. Find the total payroll tax, then subtract it from the total earnings.\nTo find the total payroll tax, add the federal income tax and the other taxes.\nThe total earnings are $3,603.00. The total payroll tax is $723.23. Subtract to find the difference.\n$3,603.00 - $723.23 = $2,879.77\nCarson made $2,879.77 after taxes.", "answer": "2,879.77", "table": "| Employee | Pay period | |\n| --- | --- | --- |\n| Carson Michaels | July | |\n| Total earnings | | $3,603.00 |\n| Federal income tax | $447.60 | |\n| Other taxes | $275.63 | |\n| Total taxes | | ? |\n| Pay after taxes | | ? |" } ] }, { "id": "1576", "image": "1576.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{6 - 15}{16 - 15}\n = \\frac{-9}{1}\n = -9\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{0 - 15}{17 - 15}\n = \\frac{-15}{2}\n = -7\\frac{1}{2}\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 15 | 15 |\n| 16 | 6 |\n| 17 | 0 |" } ] }, { "id": "1577", "image": "1577.png", "conversations": [ { "from": "human", "question": "Eliana wanted to know if there was a connection between her coffee consumption and how well she slept that night. For weeks, Eliana recorded how many cups of coffee she drank in the morning and how many hours she slept that night. What is the probability that a randomly selected day is one when she slept exactly 7 hours and is one when she drank exactly 0 cups of coffee? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the day is one when she slept exactly 7 hours\" and B be the event \"the day is one when she drank exactly 0 cups of coffee\".\nTo find the probability that a day is one when she slept exactly 7 hours and is one when she drank exactly 0 cups of coffee, first identify the sample space and the event.\nThe outcomes in the sample space are the different days. Each day is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the day is one when she slept exactly 7 hours and is one when she drank exactly 0 cups of coffee\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the day is one when she slept exactly 7 hours and is one when she drank exactly 0 cups of coffee\", so look at the table to see how many days are ones when she slept exactly 7 hours and are ones when she drank exactly 0 cups of coffee.\nThe number of days that are ones when she slept exactly 7 hours and are ones when she drank exactly 0 cups of coffee is 5.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of days.\n5 + 5 + 3 + 5 = 18\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{5}{18}\nThe probability that a day is one when she slept exactly 7 hours and is one when she drank exactly 0 cups of coffee is \\frac{5}{18}.", "answer": "5/18", "table": "| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| | 0 cups of coffee | 1 cup of coffee |\n| 6 hours | 5 | 3 |\n| 7 hours | 5 | 5 |" } ] }, { "id": "1581", "image": "1581.png", "conversations": [ { "from": "human", "question": "Maggie has $62.00. Does she have enough to buy a crystal vase and a rug?\n" }, { "from": "gpt", "solution": "Add the price of a crystal vase and the price of a rug:\n\n$50.58 + $10.48 = $61.06\n\n$61.06 is less than $62.00. Maggie does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| chandelier | $92.93 |\n| ceramic vase | $47.58 |\n| rug | $10.48 |\n| crystal vase | $50.58 |" } ] }, { "id": "1585", "image": "1585.png", "conversations": [ { "from": "human", "question": "The students in Mr. West's class recorded the number of siblings that each has. How many students have at least 2 siblings?\n" }, { "from": "gpt", "solution": "Find the rows for 2, 3, and 4 siblings. Add the frequencies for these rows.\n\nAdd:\n\n5 + 17 + 19 = 41\n\n41 students have at least 2 siblings.", "answer": "41", "table": "**Siblings**\n\n| Number of siblings | Frequency |\n| --- | --- |\n| 0 | 20 |\n| 1 | 12 |\n| 2 | 5 |\n| 3 | 17 |\n| 4 | 19 |" } ] }, { "id": "1589", "image": "1589.png", "conversations": [ { "from": "human", "question": "The parks department compared how many basketball hoops there are at each park. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 5, 6, 4, 4, 4\n\nFirst, find the greatest number. The greatest number is 7.\n\nNext, find the least number. The least number is 4.\n\nSubtract the least number from the greatest number:\n\n7 − 4 = 3\n\nThe range is 3.", "answer": "3", "table": "**Basketball hoops**\n\n| Park | Number of basketball hoops |\n| --- | --- |\n| Westfield Park | 7 |\n| Kelly Park | 5 |\n| Canal Park | 6 |\n| Otter Park | 4 |\n| Linden Park | 4 |\n| Heron Park | 4 |" } ] }, { "id": "1592", "image": "1592.png", "conversations": [ { "from": "human", "question": "How many more boys than girls are in Mr. Orange's class?\n" }, { "from": "gpt", "solution": "Find the Mr. Orange row. Find the numbers in this row for boys and girls.\n\nboys: 6\ngirls: 4\n\nNow subtract:\n\n6 − 4 = 2\n\n2 more boys than girls are in Mr. Orange's class.", "answer": "2", "table": "**Fifth grade classes**\n\n| Teacher | Boys | Girls |\n| --- | --- | --- |\n| Mr. Burgundy | 8 | 11 |\n| Ms. Brown | 18 | 18 |\n| Mr. Orange | 6 | 4 |\n| Miss Black | 14 | 6 |" } ] }, { "id": "1597", "image": "1597.png", "conversations": [ { "from": "human", "question": "Lucia's Candies has been studying how much chocolate people have been eating in different countries. Which country consumed the least chocolate per capita in 2002?\n" }, { "from": "gpt", "solution": "Look at the numbers in the 2002 column. Find the least number in this column.\n\nThe least number is 4, which is in the Australia row. Australia consumed the least chocolate per capita in 2002.", "answer": "Australia", "table": "**Chocolate consumption per capita (kg)**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 2002 | 2005 |\n| Belgium | 8 | 11 |\n| Switzerland | 11 | 10 |\n| Australia | 4 | 5 |\n| Germany | 10 | 11 |\n| Austria | 8 | 9 |" } ] }, { "id": "1603", "image": "1603.png", "conversations": [ { "from": "human", "question": "Shannon bought 1+2/5 pounds of canola oil. How much did she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the canola oil. Multiply the price per pound by the number of pounds.\n$3 × 1\\frac{2}{5} = $3 × 1.4 = $4.20\nShe spent $4.20.", "answer": "4.20", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| sunflower seed oil | $4 per pound |\n| cottonseed oil | $4 per pound |\n| soybean oil | $3 per pound |\n| canola oil | $3 per pound |\n| olive oil | $5 per pound |" } ] }, { "id": "1608", "image": "1608.png", "conversations": [ { "from": "human", "question": "An agricultural agency is researching how much cheese people have been eating in different parts of the world. How much more cheese did Germany consume per capita in 2006 than in 1996?\n" }, { "from": "gpt", "solution": "Find the Germany row. Find the numbers in this row for 2006 and 1996.\n\n2006: 20\n1996: 12\n\nNow subtract:\n\n20 − 12 = 8\n\nGermany consumed 8 kilograms more cheese per capita in 2006 than in 1996.", "answer": "8", "table": "**Cheese consumption per capita (kg)**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 1996 | 2006 |\n| Germany | 12 | 20 |\n| Australia | 10 | 10 |\n| Great Britain | 9 | 10 |\n| Austria | 10 | 17 |\n| Canada | 10 | 11 |" } ] }, { "id": "1611", "image": "1611.png", "conversations": [ { "from": "human", "question": "Brett counted the number of pieces of pepperoni on each pizza he made. How many pizzas had at least 30 pieces of pepperoni but fewer than 50 pieces of pepperoni?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 3 and 4.\n\nYou counted 10 leaves, which are blue in the stem-and-leaf plot above. 10 pizzas had at least 30 pieces of pepperoni but fewer than 50 pieces of pepperoni.", "answer": "10", "table": "**Pieces of pepperoni per pizza**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1, 2, 5, 5, 6, 6, 6, 7, 8, 9 |\n| 2 | 3, 3, 4, 5, 6 |\n| 3 | 3, 4, 4, 5, 8 |\n| 4 | 1, 3, 6, 7, 8 |" } ] }, { "id": "1617", "image": "1617.png", "conversations": [ { "from": "human", "question": "The receptionist at a doctor's office kept track of each patient's wait time. What is the longest wait time?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 7.\n\nNow find the highest leaf in the last row. The highest leaf is 6.\n\nThe longest wait time has a stem of 7 and a leaf of 6. Write the stem first, then the leaf: 76.\n\nThe longest wait time is 76 minutes.", "answer": "76", "table": "**Doctor's office wait times (minutes)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 5 |\n| 2 | 2, 4, 4, 6, 6, 7 |\n| 3 | 1, 1, 6 |\n| 4 | 8 |\n| 5 | 3, 9 |\n| 6 | 5, 9 |\n| 7 | 6 |" } ] }, { "id": "1620", "image": "1620.png", "conversations": [ { "from": "human", "question": "For a math assignment, Christina researched the scores of the people competing on her favorite quiz show. How many people scored exactly 15 points?\n" }, { "from": "gpt", "solution": "For the number 15, the stem is 1, and the leaf is 5. Find the row where the stem is 1. In that row, count all the leaves equal to 5.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 people scored exactly15 points.", "answer": "4", "table": "**Quiz show scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 5, 5, 5, 5 |\n| 2 | 2, 3, 4, 4, 5, 9 |\n| 3 | 7 |\n| 4 | 7 |\n| 5 | 1, 3, 6, 6, 9 |" } ] }, { "id": "1630", "image": "1630.png", "conversations": [ { "from": "human", "question": "Jennifer purchased 3 pounds of gorgonzola. What was the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the gorgonzola. Multiply the price per pound by the number of pounds.\n\n$5 × 3 = $15\n\nThe total cost was $15.", "answer": "15", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| gorgonzola | $5/pound |\n| Parmesan | $9/pound |\n| ricotta | $6/pound |\n| Swiss | $6/pound |\n| cheddar | $7/pound |" } ] }, { "id": "1634", "image": "1634.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $740, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $740, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $740 | 13,000 | 16,600 |\n| $860 | 10,100 | 18,000 |\n| $980 | 7,200 | 19,400 |\n| $1,100 | 4,300 | 20,800 |\n| $1,220 | 1,400 | 22,200 |" } ] }, { "id": "1635", "image": "1635.png", "conversations": [ { "from": "human", "question": "How much money does Darnel need to buy a striped scarf and a pair of shorts?\n" }, { "from": "gpt", "solution": "Add the price of a striped scarf and the price of a pair of shorts:\n\n$7.45 + $8.93 = $16.38\n\nDarnel needs $16.38.", "answer": "16.38", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| red hat | $8.94 |\n| pair of tennis shoes | $6.12 |\n| pair of shorts | $8.93 |\n| pair of brown pants | $5.57 |\n| striped scarf | $7.45 |" } ] }, { "id": "1637", "image": "1637.png", "conversations": [ { "from": "human", "question": "For Earth Day, Dover High's environmental club tracked the number of seeds planted by its members. How many members are there in all?\n" }, { "from": "gpt", "solution": "Add the frequencies for each row.\n\nAdd:\n\n20 + 13 + 6 + 7 = 46\n\nThere are 46 members in all.", "answer": "46", "table": "**Planting seeds in the garden**\n\n| Seeds planted | Frequency |\n| --- | --- |\n| 0 | 20 |\n| 1 | 13 |\n| 2 | 6 |\n| 3 | 7 |" } ] }, { "id": "1649", "image": "1649.png", "conversations": [ { "from": "human", "question": "How much more does a can of corn cost than a can of green beans?\n" }, { "from": "gpt", "solution": "Subtract the price of a can of green beans from the price of a can of corn.\n\n$1.54 - $1.08 = $0.46\n\nA can of corn costs $0.46 more than a can of green beans.", "answer": "0.46", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| can of fruit cocktail | $2.73 |\n| jar of pickles | $1.58 |\n| can of green beans | $1.08 |\n| can of corn | $1.54 |\n| jar of olives | $2.08 |" } ] }, { "id": "1652", "image": "1652.png", "conversations": [ { "from": "human", "question": "As part of a food drive, four friends collected canned food. What fraction of the cans were collected by Jerry? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many cans were collected by Jerry.\n\n53\n\nFind how many cans were collected in total.\n\n53 + 6 + 36 + 10 = 105\n\nDivide 53 by105.\n\n\\frac{53}{105}\n\n\\frac{53}{105} of cans were collected by Jerry.", "answer": "53/105", "table": "**Cans of food collected**\n\n| Name | Number of cans of food |\n| --- | --- |\n| Jerry | 53 |\n| Colette | 6 |\n| Leslie | 36 |\n| Linda | 10 |" } ] }, { "id": "1655", "image": "1655.png", "conversations": [ { "from": "human", "question": "The players on a quiz show received the following scores. Who had the highest score?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 993.\n\nNow find the corresponding name. Maureen corresponds to 993.", "answer": "Maureen", "table": "**Quiz show scores**\n\n| Name | Score |\n| --- | --- |\n| Belle | 953 |\n| Maureen | 993 |\n| Cassie | 951 |\n| Kira | 938 |" } ] }, { "id": "1660", "image": "1660.png", "conversations": [ { "from": "human", "question": "How much money does Hanson need to buy 9 rugs?\n" }, { "from": "gpt", "solution": "Find the total cost of 9 rugs by multiplying 9 times the price of a rug.\n\n$54.93 × 9 = $494.37\n\nHanson needs $494.37.", "answer": "494.37", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| oil painting | $61.15 |\n| silver coat rack | $65.37 |\n| crystal sculpture | $89.48 |\n| rug | $54.93 |" } ] }, { "id": "1663", "image": "1663.png", "conversations": [ { "from": "human", "question": "Each bucket has 5 red blocks. How many red blocks are in 6 buckets?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 30 red blocks in 6 buckets.", "answer": "30", "table": "| Number of buckets | Number of red blocks |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | 20 |\n| 5 | 25 |\n| 6 | ? |" } ] }, { "id": "1667", "image": "1667.png", "conversations": [ { "from": "human", "question": "How much money does Tony need to buy a textbook and a paperback book?\n" }, { "from": "gpt", "solution": "Add the price of a textbook and the price of a paperback book:\n\n$6.45 + $7.14 = $13.59\n\nTony needs $13.59.", "answer": "13.59", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| poetry book | $3.48 |\n| math book | $1.09 |\n| science book | $3.77 |\n| paperback book | $7.14 |\n| textbook | $6.45 |" } ] }, { "id": "1681", "image": "1681.png", "conversations": [ { "from": "human", "question": "The school district compared how many swings each elementary school has. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n11, 9, 10, 10, 8, 8, 8, 8\n\nFirst, count how many numbers are in the group.\n\nThere are 8 numbers.\n\nNow add all the numbers together:\n\n11 + 9 + 10 + 10 + 8 + 8 + 8 + 8 = 72\n\nNow divide the sum by the number of numbers:\n\n72 ÷ 8 = 9\n\nThe mean is 9.", "answer": "9", "table": "**Swings**\n\n| School | Number of swings |\n| --- | --- |\n| Shoreline Elementary | 11 |\n| Valley Elementary | 9 |\n| Lincoln Elementary | 10 |\n| Canyon Elementary | 10 |\n| Hillside Elementary | 8 |\n| Boyd Elementary | 8 |\n| Roseville Elementary | 8 |\n| Newberry Elementary | 8 |" } ] }, { "id": "1704", "image": "1704.png", "conversations": [ { "from": "human", "question": "Mrs. Goodman, the biology teacher, asked her students how many times they went to the science museum last year. How many students went to the science museum fewer than 2 times?\n" }, { "from": "gpt", "solution": "Find the rows for 0 and 1 time. Add the frequencies for these rows.\n\nAdd:\n\n19 + 20 = 39\n\n39 students went to the science museum fewer than 2 times.", "answer": "39", "table": "**Trips to the science museum last year**\n\n| Number of trips | Frequency |\n| --- | --- |\n| 0 | 19 |\n| 1 | 20 |\n| 2 | 8 |\n| 3 | 9 |" } ] }, { "id": "1708", "image": "1708.png", "conversations": [ { "from": "human", "question": "A fan carefully recorded the number of goals and misses made by different soccer players. Which player had the fewest misses?\n" }, { "from": "gpt", "solution": "Look at the numbers in the Misses column. Find the least number in this column.\n\nThe least number is 1, which is in the Center midfielder row. The center midfielder had the fewest misses.", "answer": "center midfielder", "table": "**Soccer shots this season**\n\n| Player | Misses | Goals |\n| --- | --- | --- |\n| Striker | 13 | 15 |\n| Right midfielder | 5 | 9 |\n| Right forward | 12 | 12 |\n| Center midfielder | 1 | 11 |" } ] }, { "id": "1709", "image": "1709.png", "conversations": [ { "from": "human", "question": "The train conductor made sure to count the number of passengers on each train. How many trains had at least 30 passengers?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 3, 4, 5, 6, 7, 8, and 9.\n\nYou counted 14 leaves, which are blue in the stem-and-leaf plot above. 14 trains had at least 30 passengers.", "answer": "14", "table": "**Passengers per train**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 5 |\n| 2 | 1 |\n| 3 | 7 |\n| 4 | 1, 2 |\n| 5 | 0, 1, 8 |\n| 6 | 5, 6, 8, 9 |\n| 7 | 2 |\n| 8 | 8, 9 |\n| 9 | 0 |" } ] }, { "id": "1711", "image": "1711.png", "conversations": [ { "from": "human", "question": "Students at Fairfax High School were polled regarding their favorite drinks. What fraction of students preferred fruit punch? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many students preferred fruit punch.\n\n680\n\nFind how many students were polled in total.\n\n450 + 680 + 130 + 320 = 1,580\n\nDivide 680 by1,580.\n\n\\frac{680}{1,580}\n\nReduce the fraction.\n\n\\frac{680}{1,580} → \\frac{34}{79}\n\n\\frac{34}{79} of students preferred fruit punch.", "answer": "34/79", "table": "**Drink preferences**\n\n| Drink | Number of students |\n| --- | --- |\n| Diet cola | 450 |\n| Fruit punch | 680 |\n| Lemon-lime soda | 130 |\n| Other | 320 |" } ] }, { "id": "1713", "image": "1713.png", "conversations": [ { "from": "human", "question": "A restaurant's average food preparation time was tracked from day to day as part of an efficiency improvement program. According to the table, what was the rate of change between Wednesday and Thursday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{24 minutes - 22 minutes}{1 day}\n = \\frac{2 minutes}{1 day}\n = 2 minutes per day\nThe rate of change between Wednesday and Thursday was 2 minutes per day.", "answer": "2", "table": "**Average food preparation time**\n\n| Day | Food preparation time (minutes) |\n| --- | --- |\n| Tuesday | 19 |\n| Wednesday | 22 |\n| Thursday | 24 |\n| Friday | 28 |\n| Saturday | 27 |" } ] }, { "id": "1715", "image": "1715.png", "conversations": [ { "from": "human", "question": "How much money does Malik need to buy a red wagon, a model airplane, and a remote control car?\n" }, { "from": "gpt", "solution": "Find the total cost of a red wagon, a model airplane, and a remote control car.\n\n$26.44 + $35.10 + $18.45 = $79.99\n\nMalik needs $79.99.", "answer": "79.99", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| stuffed animal | $16.93 |\n| red wagon | $26.44 |\n| remote control car | $18.45 |\n| toy guitar | $21.74 |\n| model airplane | $35.10 |" } ] }, { "id": "1731", "image": "1731.png", "conversations": [ { "from": "human", "question": "A farm equipment company kept a record of the number of tractors made each month. In which month did the company make the fewest tractors?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 923.\n\nNow find the corresponding month. October corresponds to 923.", "answer": "October", "table": "**Tractors made**\n\n| Month | Number of tractors |\n| --- | --- |\n| July | 939 |\n| August | 932 |\n| September | 992 |\n| October | 923 |" } ] }, { "id": "1739", "image": "1739.png", "conversations": [ { "from": "human", "question": "How much money does Chloe need to buy 3 laptop computers?\n" }, { "from": "gpt", "solution": "Find the total cost of 3 laptop computers by multiplying 3 times the price of a laptop computer.\n\n$614 × 3 = $1,842\n\nChloe needs $1,842.", "answer": "1,842", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| video game system | $469 |\n| laptop computer | $614 |\n| big screen TV | $702 |\n| portable DVD player | $359 |\n| cell phone | $329 |\n| digital camera | $538 |" } ] }, { "id": "1741", "image": "1741.png", "conversations": [ { "from": "human", "question": "A theme park developer recorded the number of people who visited the local water park last summer. How many people went to the water park fewer than 2 times?\n" }, { "from": "gpt", "solution": "Find the row for 1 time and read the frequency. The frequency is 8.\n\n8 people went to the water park fewer than 2 times.", "answer": "8", "table": "**Going to the water park last summer**\n\n| Number of trips | Frequency |\n| --- | --- |\n| 1 | 8 |\n| 2 | 14 |\n| 3 | 2 |\n| 4 | 5 |" } ] }, { "id": "1745", "image": "1745.png", "conversations": [ { "from": "human", "question": "Michelle, who rents properties for a living, measures all the offices in a building she is renting. How many offices are exactly 38 square meters?\n" }, { "from": "gpt", "solution": "For the number 38, the stem is 3, and the leaf is 8. Find the row where the stem is 3. In that row, count all the leaves equal to 8.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 offices are exactly 38 square meters.", "answer": "2", "table": "**Office sizes (square meters)**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 1, 1, 3, 7, 8, 8 |\n| 4 | 8 |\n| 5 | 3, 4 |\n| 6 | 9 |\n| 7 | 2, 3 |\n| 8 | 0, 9 |\n| 9 | 0 |" } ] }, { "id": "1750", "image": "1750.png", "conversations": [ { "from": "human", "question": "Look at this table. Is this relation a function?\n" }, { "from": "gpt", "solution": "Look at the x-values in the table.\n\nEach of the x-values is paired with only one y-value, so the relation is a function.", "answer": "yes", "table": "| x | y |\n| --- | --- |\n| 13 | 9 |\n| 7 | 0 |\n| 17 | 6 |\n| 18 | 7 |" } ] }, { "id": "1751", "image": "1751.png", "conversations": [ { "from": "human", "question": "Janice tracked the attendance at the school play. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n73, 62, 51, 82, 53, 75, 73\n\nFirst, count how many numbers are in the group.\n\nThere are 7 numbers.\n\nNow add all the numbers together:\n\n73 + 62 + 51 + 82 + 53 + 75 + 73 = 469\n\nNow divide the sum by the number of numbers:\n\n469 ÷ 7 = 67\n\nThe mean is 67.", "answer": "67", "table": "**Tickets sold**\n\n| Day | Number of tickets |\n| --- | --- |\n| Thursday | 73 |\n| Friday | 62 |\n| Saturday | 51 |\n| Sunday | 82 |\n| Monday | 53 |\n| Tuesday | 75 |\n| Wednesday | 73 |" } ] }, { "id": "1759", "image": "1759.png", "conversations": [ { "from": "human", "question": "Florence spent a week at the beach and recorded the number of shells she found each day. According to the table, what was the rate of change between Tuesday and Wednesday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{5 shells - 8 shells}{1 day}\n = \\frac{-3 shells}{1 day}\n = -3 shells per day\nThe rate of change between Tuesday and Wednesday was - 3 shells per day.", "answer": "-3", "table": "**Shells Florence found**\n\n| Day | Number of shells |\n| --- | --- |\n| Tuesday | 8 |\n| Wednesday | 5 |\n| Thursday | 2 |\n| Friday | 9 |\n| Saturday | 2 |" } ] }, { "id": "1766", "image": "1766.png", "conversations": [ { "from": "human", "question": "A wilderness retail store asked a consulting company to do an analysis of their hiking shoe customers. The consulting company gathered data from each customer that purchased hiking shoes, and recorded the shoe brand and the customer's level of happiness. What is the probability that a randomly selected customer is displeased and purchased a Footlong shoe? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the customer is displeased\" and B be the event \"the customer purchased a Footlong shoe\".\nTo find the probability that a customer is displeased and purchased a Footlong shoe, first identify the sample space and the event.\nThe outcomes in the sample space are the different customers. Each customer is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the customer is displeased and purchased a Footlong shoe\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the customer is displeased and purchased a Footlong shoe\", so look at the table to see how many customers are displeased and purchased a Footlong shoe.\nThe number of customers who are displeased and purchased a Footlong shoe is 4.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of customers.\n4 + 3 + 5 + 4 = 16\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{4}{16}\n = \\frac{1}{4}\nThe probability that a customer is displeased and purchased a Footlong shoe is \\frac{1}{4}.", "answer": "1/4", "table": "| | A Footlong shoe | A Toes Knows shoe |\n| --- | --- | --- |\n| Displeased | 4 | 5 |\n| Pleased | 3 | 4 |" } ] }, { "id": "1771", "image": "1771.png", "conversations": [ { "from": "human", "question": "Clayton just downloaded the new game Gem Excavator on his phone. In the first level, Clayton gains points for each green gem he finds. However, he loses points for each red gem he finds. The table shows how the gems affect Clayton's points. Which color gem affects Clayton's points less?\n" }, { "from": "gpt", "solution": "To find the gem that affects Clayton's points less, use absolute value. Absolute value tells you how much Clayton's points change for each color gem.\nGreen: |25| = 25\nRed: |-40| = 40\nClayton gains 25 points for each green gem he finds, and he loses 40 points for each red gem he finds. So, the green gems affect Clayton's points less.", "answer": "green", "table": "| Gem color | Change in points |\n| --- | --- |\n| Green | 25 |\n| Red | -40 |" } ] }, { "id": "1778", "image": "1778.png", "conversations": [ { "from": "human", "question": "How much money does Molly need to buy a picnic table and a hammock?\n" }, { "from": "gpt", "solution": "Add the price of a picnic table and the price of a hammock:\n\n$97.84 + $91.40 = $189.24\n\nMolly needs $189.24.", "answer": "189.24", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| picnic table | $97.84 |\n| hammock | $91.40 |\n| lawn chair | $20.38 |\n| wooden bench | $48.76 |" } ] }, { "id": "1781", "image": "1781.png", "conversations": [ { "from": "human", "question": "Polly's classmates revealed how many science articles they read. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n37, 31, 40, 36, 36, 26, 39\n\nFirst, count how many numbers are in the group.\n\nThere are 7 numbers.\n\nNow add all the numbers together:\n\n37 + 31 + 40 + 36 + 36 + 26 + 39 = 245\n\nNow divide the sum by the number of numbers:\n\n245 ÷ 7 = 35\n\nThe mean is 35.", "answer": "35", "table": "**Science articles read**\n\n| Name | Number of science articles |\n| --- | --- |\n| Polly | 37 |\n| Kendrick | 31 |\n| Leo | 40 |\n| Tiana | 36 |\n| Erica | 36 |\n| Aaliyah | 26 |\n| Scott | 39 |" } ] }, { "id": "1790", "image": "1790.png", "conversations": [ { "from": "human", "question": "A fan carefully recorded the number of goals and misses made by different soccer players. Did the left midfielder or the center midfielder have more shots?\n" }, { "from": "gpt", "solution": "Add the numbers in the Left midfielder row. Then, add the numbers in the Center midfielder row.\n\nleft midfielder: 16 + 13 = 29\ncenter midfielder: 1 + 19 = 20\n\n29 is more than 20. The left midfielder had more shots.", "answer": "left midfielder", "table": "**Soccer shots this season**\n\n| Player | Misses | Goals |\n| --- | --- | --- |\n| Left forward | 13 | 3 |\n| Left midfielder | 16 | 13 |\n| Right forward | 1 | 1 |\n| Center midfielder | 1 | 19 |" } ] }, { "id": "1794", "image": "1794.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does the bus arrive at the movie theater?\n" }, { "from": "gpt", "solution": "Find the movie theater on the schedule. Find the arrival time for the movie theater.\n\nthe movie theater: 9:30 A. M.", "answer": "9:30 A.M.", "table": "**Bus schedule**\n\n| Location | Time |\n| --- | --- |\n| the kickball field | 9:00 A.M. |\n| the movie theater | 9:30 A.M. |\n| the doctor's office | 10:00 A.M. |\n| the grocery store | 10:40 A.M. |\n| the science museum | 10:55 A.M. |\n| the school | 11:40 A.M. |\n| the zoo | 11:55 A.M. |\n| the library | 12:30 P.M. |\n| the post office | 12:50 P.M. |\n| the playground | 1:20 P.M. |" } ] }, { "id": "1807", "image": "1807.png", "conversations": [ { "from": "human", "question": "Eliana buys 4.5 kilograms of size 2 screws. How much does she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the size 2 screws. Multiply the price per kilogram by the number of kilograms.\n$4 × 4.5 = $18\nShe spends $18.", "answer": "18", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| size 6 screws | $3 per kilogram |\n| size 2 screws | $4 per kilogram |\n| size 4 screws | $4 per kilogram |\n| size 5 screws | $3 per kilogram |\n| size 3 screws | $4 per kilogram |" } ] }, { "id": "1809", "image": "1809.png", "conversations": [ { "from": "human", "question": "The Springfield Chamber of Commerce researched the number of employees working at local companies. How many companies have exactly 74 employees?\n" }, { "from": "gpt", "solution": "For the number 74, the stem is 7, and the leaf is 4. Find the row where the stem is 7. In that row, count all the leaves equal to 4.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 companies have exactly 74 employees.", "answer": "3", "table": "**Company sizes (number of employees)**\n\n| Stem | Leaf |\n| --- | --- |\n| 5 | 3, 5 |\n| 6 | |\n| 7 | 3, 4, 4, 4 |\n| 8 | |\n| 9 | 0 |" } ] }, { "id": "1816", "image": "1816.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $625, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $625, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $545 | 19,000 | 3,200 |\n| $625 | 14,500 | 7,500 |\n| $705 | 10,000 | 11,800 |\n| $785 | 5,500 | 16,100 |\n| $865 | 1,000 | 20,400 |" } ] }, { "id": "1821", "image": "1821.png", "conversations": [ { "from": "human", "question": "Mitch just downloaded the new game Gem Excavator on his phone. In the first level, Mitch gains points for each green gem he finds. However, he loses points for each red gem he finds. The table shows how the gems affect Mitch's points. Which color gem affects Mitch's points less?\n" }, { "from": "gpt", "solution": "To find the gem that affects Mitch's points less, use absolute value. Absolute value tells you how much Mitch's points change for each color gem.\nGreen: |25| = 25\nRed: |-40| = 40\nMitch gains 25 points for each green gem he finds, and he loses 40 points for each red gem he finds. So, the green gems affect Mitch's points less.", "answer": "green", "table": "| Gem color | Change in points |\n| --- | --- |\n| Green | 25 |\n| Red | -40 |" } ] }, { "id": "1830", "image": "1830.png", "conversations": [ { "from": "human", "question": "Austen kept track of how many boxes of cookies he sold over the past 6 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n4, 6, 6, 3, 2, 4\n\nFirst, find the greatest number. The greatest number is 6.\n\nNext, find the least number. The least number is 2.\n\nSubtract the least number from the greatest number:\n\n6 − 2 = 4\n\nThe range is 4.", "answer": "4", "table": "**Boxes of cookies sold**\n\n| Day | Number of boxes |\n| --- | --- |\n| Tuesday | 4 |\n| Wednesday | 6 |\n| Thursday | 6 |\n| Friday | 3 |\n| Saturday | 2 |\n| Sunday | 4 |" } ] }, { "id": "1838", "image": "1838.png", "conversations": [ { "from": "human", "question": "A pet store owner had his staff count the number of fish in each tank. How many tanks have at least 50 fish?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 5, 6, 7, and 8.\n\nYou counted 7 leaves, which are blue in the stem-and-leaf plot above. 7 tanks have at least 50 fish.", "answer": "7", "table": "**Fish per tank**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 3, 4, 5 |\n| 3 | 8 |\n| 4 | 1, 2, 3 |\n| 5 | 1, 2, 8, 8 |\n| 6 | 3, 6 |\n| 7 | |\n| 8 | 6 |" } ] }, { "id": "1847", "image": "1847.png", "conversations": [ { "from": "human", "question": "Rosa jotted down how many minutes she spent practicing volleyball in the past 4 days. On which day did Rosa practice the most?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 169.\n\nNow find the corresponding day. Wednesday corresponds to 169.", "answer": "Wednesday", "table": "**Minutes spent practicing**\n\n| Day | Minutes |\n| --- | --- |\n| Monday | 118 |\n| Tuesday | 142 |\n| Wednesday | 169 |\n| Thursday | 146 |" } ] }, { "id": "1849", "image": "1849.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $1,010, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $1,010, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $960 | 17,500 | 3,100 |\n| $1,010 | 16,700 | 6,800 |\n| $1,060 | 15,900 | 10,500 |\n| $1,110 | 15,100 | 14,200 |\n| $1,160 | 14,300 | 17,900 |" } ] }, { "id": "1850", "image": "1850.png", "conversations": [ { "from": "human", "question": "The parents running this year's craft sale counted the number of key chains made by volunteers. How many people made fewer than 3 key chains?\n" }, { "from": "gpt", "solution": "Find the rows for 1 and 2 key chains. Add the frequencies for these rows.\n\nAdd:\n\n17 + 14 = 31\n\n31 people made fewer than 3 key chains.", "answer": "31", "table": "**Making key chains**\n\n| Key chains made | Frequency |\n| --- | --- |\n| 1 | 17 |\n| 2 | 14 |\n| 3 | 1 |\n| 4 | 13 |" } ] }, { "id": "1852", "image": "1852.png", "conversations": [ { "from": "human", "question": "How much money does Sophia need to buy a shiny gold shell and a dark gray shell?\n" }, { "from": "gpt", "solution": "Add the price of a shiny gold shell and the price of a dark gray shell:\n\n$0.79 + $0.54 = $1.33\n\nSophia needs $1.33.", "answer": "1.33", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| scallop shell | $0.54 |\n| beautiful yellow shell | $0.69 |\n| dark gray shell | $0.54 |\n| shiny gold shell | $0.79 |" } ] }, { "id": "1853", "image": "1853.png", "conversations": [ { "from": "human", "question": "Tara has $567.00. Does she have enough to buy a coffee table and a couch?\n" }, { "from": "gpt", "solution": "Add the price of a coffee table and the price of a couch:\n\n$215.00 + $361.00 = $576.00\n\n$576.00 is more than $567.00. Tara does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| coffee table | $215.00 |\n| desk | $235.00 |\n| kitchen table | $184.00 |\n| couch | $361.00 |" } ] }, { "id": "1857", "image": "1857.png", "conversations": [ { "from": "human", "question": "Carson looked at his calendar to figure out how much time he spent babysitting each month. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n50, 57, 36, 68, 61, 45, 55, 54\n\nFirst, find the greatest number. The greatest number is 68.\n\nNext, find the least number. The least number is 36.\n\nSubtract the least number from the greatest number:\n\n68 − 36 = 32\n\nThe range is 32.", "answer": "32", "table": "**Hours of babysitting**\n\n| Month | Hours |\n| --- | --- |\n| November | 50 |\n| December | 57 |\n| January | 36 |\n| February | 68 |\n| March | 61 |\n| April | 45 |\n| May | 55 |\n| June | 54 |" } ] }, { "id": "1862", "image": "1862.png", "conversations": [ { "from": "human", "question": "Each tool shed has 5 wheelbarrows. How many wheelbarrows are in 4 tool sheds?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 20 wheelbarrows in 4 tool sheds.", "answer": "20", "table": "| Number of tool sheds | Number of wheelbarrows |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | ? |" } ] }, { "id": "1873", "image": "1873.png", "conversations": [ { "from": "human", "question": "At a swim meet, Jayden noted the size of various swim teams. How many teams have exactly 64 swimmers?\n" }, { "from": "gpt", "solution": "For the number 64, the stem is 6, and the leaf is 4. Find the row where the stem is 6. In that row, count all the leaves equal to 4.\n\nYou counted 1 leaf, which is blue in the stem-and-leaf plot above. 1 team has exactly 64 swimmers.", "answer": "1", "table": "**Swimming team sizes (number of swimmers)**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 1, 2, 7 |\n| 3 | 1, 2, 9 |\n| 4 | 1, 3, 3 |\n| 5 | 4, 8 |\n| 6 | 1, 4, 5, 6, 7 |\n| 7 | 6, 6 |" } ] }, { "id": "1878", "image": "1878.png", "conversations": [ { "from": "human", "question": "A farmer counted the number of apples on each tree in her orchard. How many trees have at least 60 apples but fewer than 88 apples?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 6 and 7.\n\nIn the row with stem 8, count all the leaves less than 8.\n\nYou counted 5 leaves, which are blue in the stem-and-leaf plots above. 5 trees have at least 60 apples but fewer than 88 apples.", "answer": "5", "table": "**Apples per tree**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 0, 1, 2, 6, 6, 7, 7 |\n| 4 | 0, 0, 0, 8 |\n| 5 | 0, 3, 6, 8, 9 |\n| 6 | 1, 3 |\n| 7 | |\n| 8 | 3, 3, 5, 8, 9 |" } ] }, { "id": "1880", "image": "1880.png", "conversations": [ { "from": "human", "question": "Look at this table. Is this relation a function?\n" }, { "from": "gpt", "solution": "Look at the x-values in the table.\n\nThe x-value 11 is paired with multiple y-values, so the relation is not a function.", "answer": "no", "table": "| x | y |\n| --- | --- |\n| 4 | 15 |\n| 19 | 18 |\n| 11 | 10 |\n| 11 | 1 |" } ] }, { "id": "1884", "image": "1884.png", "conversations": [ { "from": "human", "question": "The parks department compared how many soccer fields there are at each park. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n3, 7, 1, 6, 1, 5, 7\n\nFirst, arrange the numbers from least to greatest:\n\n1, 1, 3, 5, 6, 7, 7\n\nNow find the number in the middle.\n\n1, 1, 3, 5, 6, 7, 7\n\nThe number in the middle is 5.\n\nThe median is 5.", "answer": "5", "table": "**Soccer fields**\n\n| Park | Number of soccer fields |\n| --- | --- |\n| Lighthouse Park | 3 |\n| Moon Park | 7 |\n| Canyon Park | 1 |\n| Madison Park | 6 |\n| Crane Park | 1 |\n| Juniper Park | 5 |\n| Middle Park | 7 |" } ] }, { "id": "1891", "image": "1891.png", "conversations": [ { "from": "human", "question": "How much money does Rose need to buy 7 peanut carts?\n" }, { "from": "gpt", "solution": "Find the total cost of 7 peanut carts by multiplying 7 times the price of a peanut cart.\n\n$7,094 × 7 = $49,658\n\nRose needs $49,658.", "answer": "49,658", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pretzel stand | $9,863 |\n| peanut cart | $7,094 |\n| popsicle stand | $8,419 |\n| hot dog stand | $9,353 |" } ] }, { "id": "1900", "image": "1900.png", "conversations": [ { "from": "human", "question": "Austin went to the store and bought 3 pounds of fool's gold, 1 pound of topaz, and 2 pounds of tiger's eye. How much did he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the fool's gold. Multiply:\n\n$16 × 3 = $48\n\nFind the cost of the topaz. Multiply:\n\n$18.55 × 1 = $18.55\n\nFind the cost of the tiger's eye. Multiply:\n\n$10.29 × 2 = $20.58\n\nNow find the total cost by adding:\n\n$48 + $18.55 + $20.58 = $87.13\n\nHe spent $87.13.", "answer": "87.13", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| topaz | $18.55 per lb |\n| amethyst | $19.88 per lb |\n| tiger's eye | $10.29 per lb |\n| fool's gold | $16.00 per lb |\n| quartz | $14.63 per lb |\n| calcite | $15.39 per lb |\n| granite | $19.23 per lb |" } ] }, { "id": "1901", "image": "1901.png", "conversations": [ { "from": "human", "question": "At their family reunion, the Shah family recorded everyone's age. What is the age of the youngest person?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 3.\n\nNow find the lowest leaf in the first row. The lowest leaf is 0.\n\nThe age of the youngest person has a stem of 3 and a leaf of 0. Write the stem first, then the leaf: 30.\n\nThe age of the youngest person is 30 years old.", "answer": "30", "table": "**Ages**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 0, 8 |\n| 4 | |\n| 5 | 1 |\n| 6 | 2 |\n| 7 | |\n| 8 | 0, 3, 4, 4 |" } ] }, { "id": "1905", "image": "1905.png", "conversations": [ { "from": "human", "question": "The parks department compared how many basketball hoops there are at each park. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 7, 1, 9, 7, 10, 6\n\nFirst, arrange the numbers from least to greatest:\n\n1, 6, 6, 7, 7, 9, 10\n\nNow find the number in the middle.\n\n1, 6, 6, 7, 7, 9, 10\n\nThe number in the middle is 7.\n\nThe median is 7.", "answer": "7", "table": "**Basketball hoops**\n\n| Park | Number of basketball hoops |\n| --- | --- |\n| Pinehurst Park | 6 |\n| Otter Park | 7 |\n| Riverfront Park | 1 |\n| Canal Park | 9 |\n| Westfield Park | 7 |\n| Linden Park | 10 |\n| Kelly Park | 6 |" } ] }, { "id": "1908", "image": "1908.png", "conversations": [ { "from": "human", "question": "Ivan went to the store and bought 1 pound of mayonnaise, 2 pounds of soy sauce, and 5 pounds of Dijon mustard. How much did he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the mayonnaise. Multiply:\n\n$2.66 × 1 = $2.66\n\nFind the cost of the soy sauce. Multiply:\n\n$3.44 × 2 = $6.88\n\nFind the cost of the Dijon mustard. Multiply:\n\n$5.22 × 5 = $26.10\n\nNow find the total cost by adding:\n\n$2.66 + $6.88 + $26.10 = $35.64\n\nHe spent $35.64.", "answer": "35.64", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| hot sauce | $5.40/lb |\n| mustard | $5.01/lb |\n| mayonnaise | $2.66/lb |\n| soy sauce | $3.44/lb |\n| ketchup | $3.77/lb |\n| Dijon mustard | $5.22/lb |" } ] }, { "id": "1910", "image": "1910.png", "conversations": [ { "from": "human", "question": "Janice kept track of the number of characters in each book she read. How many books had exactly 49 characters?\n" }, { "from": "gpt", "solution": "For the number 49, the stem is 4, and the leaf is 9. Find the row where the stem is 4. In that row, count all the leaves equal to 9.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 books had exactly 49 characters.", "answer": "4", "table": "**Characters per book**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 3 |\n| 2 | 4, 7 |\n| 3 | 6 |\n| 4 | 9, 9, 9, 9 |\n| 5 | 0 |" } ] }, { "id": "1911", "image": "1911.png", "conversations": [ { "from": "human", "question": "The parents running this year's craft sale counted the number of key chains made by volunteers. How many people made exactly 2 key chains?\n" }, { "from": "gpt", "solution": "Find the row for 2 key chains and read the frequency. The frequency is 1.\n\n1 person made exactly2 key chains.", "answer": "1", "table": "**Making key chains**\n\n| Key chains made | Frequency |\n| --- | --- |\n| 1 | 9 |\n| 2 | 1 |\n| 3 | 8 |\n| 4 | 7 |\n| 5 | 18 |\n| 6 | 3 |" } ] }, { "id": "1921", "image": "1921.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $1,265, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $1,265, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $905 | 18,900 | 3,400 |\n| $995 | 14,500 | 4,900 |\n| $1,085 | 10,100 | 6,400 |\n| $1,175 | 5,700 | 7,900 |\n| $1,265 | 1,300 | 9,400 |" } ] }, { "id": "1922", "image": "1922.png", "conversations": [ { "from": "human", "question": "How much money does Joey need to buy 4 popsicle stands?\n" }, { "from": "gpt", "solution": "Find the total cost of 4 popsicle stands by multiplying 4 times the price of a popsicle stand.\n\n$8,769.00 × 4 = $35,076.00\n\nJoey needs $35,076.00.", "answer": "35,076", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| popsicle stand | $8,769.00 |\n| peanut cart | $8,110.00 |\n| popcorn cart | $6,550.00 |\n| hot dog stand | $9,120.00 |" } ] }, { "id": "1930", "image": "1930.png", "conversations": [ { "from": "human", "question": "Nate kept track of the number of games his soccer team won each year. According to the table, what was the rate of change between 2012 and 2013?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{32 games - 32 games}{2013 - 2012}\n = \\frac{32 games - 32 games}{1 year}\n = \\frac{0 games}{1 year}\n = 0 games per year\nThe rate of change between 2012 and 2013 was 0 games per year.", "answer": "0", "table": "**Games won by Nate's soccer team**\n\n| Year | Games won |\n| --- | --- |\n| 2010 | 41 |\n| 2011 | 39 |\n| 2012 | 32 |\n| 2013 | 32 |\n| 2014 | 37 |" } ] }, { "id": "1932", "image": "1932.png", "conversations": [ { "from": "human", "question": "How much money does Mateo need to buy 8 tickets for a Mediterranean cruise?\n" }, { "from": "gpt", "solution": "Find the total cost of 8 tickets for a Mediterranean cruise by multiplying 8 times the price of a ticket for a Mediterranean cruise.\n\n$526.00 × 8 = $4,208.00\n\nMateo needs $4,208.00.", "answer": "4,208", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| ticket for an Atlantic cruise | $950.00 |\n| ticket for a Mexican cruise | $416.00 |\n| ticket for a Mediterranean cruise | $526.00 |\n| ticket for an Australian cruise | $425.00 |" } ] }, { "id": "1935", "image": "1935.png", "conversations": [ { "from": "human", "question": "Dr. Chandler, a zoo director, researched ticket prices at other zoos around the country. Of the zoos shown, which charges the least for a child ticket?\n" }, { "from": "gpt", "solution": "Look at the numbers in the Child column. Find the least number in this column.\n\nThe least number is $3.00, which is in the Boise row. The Boise Zoo charges the least for a child.", "answer": "Boise", "table": "**Zoo ticket prices**\n\n| Zoo | Adult | Child |\n| --- | --- | --- |\n| Houston | $10 | $6 |\n| Central Florida | $11 | $7 |\n| Brookfield | $12 | $8 |\n| Boise | $6 | $3 |\n| Cleveland | $10 | $7 |" } ] }, { "id": "1937", "image": "1937.png", "conversations": [ { "from": "human", "question": "Francesca found a list of the number of roller coasters at each amusement park in the state. How many amusement parks have at least 10 roller coasters but fewer than 40 roller coasters?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1, 2, and 3.\n\nYou counted 5 leaves, which are blue in the stem-and-leaf plot above. 5 amusement parks have at least 10 roller coasters but fewer than 40 roller coasters.", "answer": "5", "table": "**Roller coasters per amusement park**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 2, 2, 4, 4 |\n| 2 | |\n| 3 | 9 |\n| 4 | 8, 8, 9 |" } ] }, { "id": "1946", "image": "1946.png", "conversations": [ { "from": "human", "question": "Mrs. Benton hosts an annual art contest for kids, and she keeps a record of the number of entries each year. According to the table, what was the rate of change between 2015 and 2016?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{19 entries - 15 entries}{2016 - 2015}\n = \\frac{19 entries - 15 entries}{1 year}\n = \\frac{4 entries}{1 year}\n = 4 entries per year\nThe rate of change between 2015 and 2016 was 4 entries per year.", "answer": "4", "table": "**Art contest entries**\n\n| Year | Number of entries |\n| --- | --- |\n| 2015 | 15 |\n| 2016 | 19 |\n| 2017 | 24 |\n| 2018 | 15 |\n| 2019 | 18 |" } ] }, { "id": "1948", "image": "1948.png", "conversations": [ { "from": "human", "question": "In trying to calculate how much money could be saved by packing lunch, Grace recorded the amount she spent on lunch each day. According to the table, what was the rate of change between Tuesday and Wednesday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{$7 - $3}{1 day}\n = \\frac{$4}{1 day}\n = $4 perday\nThe rate of change between Tuesday and Wednesday was $4 perday.", "answer": "4", "table": "**Amount Grace spent on lunch**\n\n| Day | Amount spent |\n| --- | --- |\n| Sunday | $1 |\n| Monday | $10 |\n| Tuesday | $3 |\n| Wednesday | $7 |\n| Thursday | $2 |" } ] }, { "id": "1951", "image": "1951.png", "conversations": [ { "from": "human", "question": "On a camping trip, Akira kept a log of the types of snakes she saw. She noted their colors and approximate lengths. What is the probability that a randomly selected snake is 2 feet long and red? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the snake is 2 feet long\" and B be the event \"the snake is red\".\nTo find the probability that a snake is 2 feet long and red, first identify the sample space and the event.\nThe outcomes in the sample space are the different snakes. Each snake is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the snake is 2 feet long and red\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the snake is 2 feet long and red\", so look at the table to see how many snakes are 2 feet long and red.\nThe number of snakes that are 2 feet long and red is 4.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of snakes.\n3 + 4 + 4 + 6 = 17\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{4}{17}\nThe probability that a snake is 2 feet long and red is \\frac{4}{17}.", "answer": "4/17", "table": "| | Red | Bright orange |\n| --- | --- | --- |\n| 1 foot long | 3 | 4 |\n| 2 feet long | 4 | 6 |" } ] }, { "id": "1952", "image": "1952.png", "conversations": [ { "from": "human", "question": "How much money does Brenna need to buy a lawn sprinkler and a wrench?\n" }, { "from": "gpt", "solution": "Add the price of a lawn sprinkler and the price of a wrench:\n\n$19 + $11 = $30\n\nBrenna needs $30.", "answer": "30", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| wrench | $11 |\n| watering can | $18 |\n| can of paint | $14 |\n| hammer | $14 |\n| lawn mower | $95 |\n| lawn sprinkler | $19 |" } ] }, { "id": "1958", "image": "1958.png", "conversations": [ { "from": "human", "question": "A stock broker followed the stock prices of a certain set of companies. On Tuesday, how much more did Jonas Incorporated's stock cost than Houston Sporting Goods's stock?\n" }, { "from": "gpt", "solution": "Find the Tuesday column. Find the numbers in this column for Jonas Incorporated and Houston Sporting Goods.\n\nJonas Incorporated: $9.00\nHouston Sporting Goods: $5.00\n\nNow subtract:\n\n$9.00 − $5.00 = $4.00\n\nOn Tuesday Jonas Incorporated's stock cost $4 more than Houston Sporting Goods's stock.", "answer": "4", "table": "**Stock prices**\n\n| Company | Monday | Tuesday |\n| --- | --- | --- |\n| Watson and Partners | $8 | $2 |\n| Computer Data Company | $12 | $7 |\n| Jonas Incorporated | $10 | $9 |\n| Houston Sporting Goods | $4 | $5 |" } ] }, { "id": "1971", "image": "1971.png", "conversations": [ { "from": "human", "question": "A food critic counted the number of menu items at each restaurant in town. How many restaurants have fewer than 90 menu items?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1, 2, 3, 4, 5, 6, 7, and 8.\n\nYou counted 20 leaves, which are blue in the stem-and-leaf plot above. 20 restaurants have fewer than 90 menu items.", "answer": "20", "table": "**Menu items per restaurant**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 2, 8 |\n| 2 | 1, 9 |\n| 3 | 0 |\n| 4 | |\n| 5 | 0, 3, 4, 5, 5, 8, 9 |\n| 6 | 3, 7, 9 |\n| 7 | 1, 9, 9 |\n| 8 | 0, 9 |" } ] }, { "id": "1973", "image": "1973.png", "conversations": [ { "from": "human", "question": "The teachers at a middle school counted how many computers they had in their classrooms. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 2, 4, 5, 5\n\nFirst, arrange the numbers from least to greatest:\n\n2, 4, 5, 5, 6\n\nNow find the number in the middle.\n\n2, 4, 5, 5, 6\n\nThe number in the middle is 5.\n\nThe median is 5.", "answer": "5", "table": "**Computers in classrooms**\n\n| Teacher | Number of computers |\n| --- | --- |\n| Ms. Cohen | 6 |\n| Mr. Morales | 2 |\n| Miss Murphy | 4 |\n| Mr. Watson | 5 |\n| Mrs. Rossi | 5 |" } ] }, { "id": "1981", "image": "1981.png", "conversations": [ { "from": "human", "question": "Jaylen went on a bird watching trip and jotted down the number of birds he saw each day. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n4, 5, 2, 2, 9, 3, 3\n\nFirst, arrange the numbers from least to greatest:\n\n2, 2, 3, 3, 4, 5, 9\n\nNow find the number in the middle.\n\n2, 2, 3, 3, 4, 5, 9\n\nThe number in the middle is 3.\n\nThe median is 3.", "answer": "3", "table": "**Number of birds**\n\n| Day | Number of birds |\n| --- | --- |\n| Tuesday | 4 |\n| Wednesday | 5 |\n| Thursday | 2 |\n| Friday | 2 |\n| Saturday | 9 |\n| Sunday | 3 |\n| Monday | 3 |" } ] }, { "id": "1982", "image": "1982.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does the livestock exhibition end?\n" }, { "from": "gpt", "solution": "Find the livestock exhibition on the schedule. Find the end time for the livestock exhibition.\n\nlivestock exhibition: 2:30 P. M.", "answer": "2:30 P.M.", "table": "**County fair schedule**\n\n| Activity | Begin | End |\n| --- | --- | --- |\n| dog show | 7:40 A.M. | 12:05 P.M. |\n| livestock exhibition | 11:20 A.M. | 2:30 P.M. |\n| magic demonstration | 1:50 P.M. | 5:05 P.M. |\n| bluegrass concert | 3:55 P.M. | 6:30 P.M. |\n| rodeo competition | 5:00 P.M. | 7:25 P.M. |" } ] }, { "id": "1986", "image": "1986.png", "conversations": [ { "from": "human", "question": "The transportation company tracked the number of train tickets sold in the past 4 days. How many train tickets were sold in all on Tuesday and Wednesday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nTuesday: 1,557\nWednesday: 8,024\n\nNow add: 1,557 + 8,024 = 9,581.\n\n9,581 train tickets were sold on Tuesday and Wednesday.", "answer": "9,581", "table": "**Train tickets sold**\n\n| Day | Number of tickets |\n| --- | --- |\n| Sunday | 8,590 |\n| Monday | 5,356 |\n| Tuesday | 1,557 |\n| Wednesday | 8,024 |" } ] }, { "id": "1990", "image": "1990.png", "conversations": [ { "from": "human", "question": "Leslie wrote down how many glasses of water she drank during the past 5 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n10, 5, 9, 10, 5\n\nFirst, arrange the numbers from least to greatest:\n\n5, 5, 9, 10, 10\n\nNow find the number in the middle.\n\n5, 5, 9, 10, 10\n\nThe number in the middle is 9.\n\nThe median is 9.", "answer": "9", "table": "**Glasses of water**\n\n| Day | Number of glasses |\n| --- | --- |\n| Sunday | 10 |\n| Monday | 5 |\n| Tuesday | 9 |\n| Wednesday | 10 |\n| Thursday | 5 |" } ] }, { "id": "1991", "image": "1991.png", "conversations": [ { "from": "human", "question": "Reagan buys 3.7 pounds of boysenberries. How much does she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the boysenberries. Multiply the price per pound by the number of pounds.\n$2 × 3.7 = $7.40\nShe spends $7.40.", "answer": "7.40", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| boysenberries | $2/lb |\n| raspberries | $6/lb |\n| strawberries | $2/lb |\n| loganberries | $5/lb |\n| blueberries | $1/lb |" } ] }, { "id": "1992", "image": "1992.png", "conversations": [ { "from": "human", "question": "The players on a quiz show received the following scores. If you combine their scores, how many points did Anne and Greta receive?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nAnne: 1,528\nGreta: 4,214\n\nNow add: 1,528 + 4,214 = 5,742.\n\nAnne and Greta scored 5,742 points.", "answer": "5,742", "table": "**Quiz show scores**\n\n| Name | Score |\n| --- | --- |\n| Ling | 8,046 |\n| Anne | 1,528 |\n| Greta | 4,214 |" } ] }, { "id": "1996", "image": "1996.png", "conversations": [ { "from": "human", "question": "Each tank has 5 starfish. How many starfish are in 3 tanks?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 15 starfish in 3 tanks.", "answer": "15", "table": "| Number of tanks | Number of starfish |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | ? |" } ] }, { "id": "1998", "image": "1998.png", "conversations": [ { "from": "human", "question": "A coffee shop monitored the number of cups of coffee sold each day. On which day did the shop sell the fewest cups?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 328.\n\nNow find the corresponding day. Friday corresponds to 328.", "answer": "Friday", "table": "**Cups of coffee sold**\n\n| Day | Number of cups |\n| --- | --- |\n| Tuesday | 362 |\n| Wednesday | 332 |\n| Thursday | 363 |\n| Friday | 328 |" } ] }, { "id": "2000", "image": "2000.png", "conversations": [ { "from": "human", "question": "Antonio kept track of how many kilometers he walked during the past 7 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n5, 5, 1, 7, 7, 7, 6\n\nFirst, arrange the numbers from least to greatest:\n\n1, 5, 5, 6, 7, 7, 7\n\nNow find the number in the middle.\n\n1, 5, 5, 6, 7, 7, 7\n\nThe number in the middle is 6.\n\nThe median is 6.", "answer": "6", "table": "**Kilometers walked**\n\n| Day | Kilometers |\n| --- | --- |\n| Sunday | 5 |\n| Monday | 5 |\n| Tuesday | 1 |\n| Wednesday | 7 |\n| Thursday | 7 |\n| Friday | 7 |\n| Saturday | 6 |" } ] }, { "id": "2002", "image": "2002.png", "conversations": [ { "from": "human", "question": "An economist tracked the amount of per-capita aid sent from the U.S. to various countries during the 1900s. Of the countries shown, which received the least aid per capita in 1975?\n" }, { "from": "gpt", "solution": "Look at the numbers in the 1975 column. Find the least number in this column.\n\nThe least number is $2.00, which is in the Libya row. In 1975, Libya received the least aid per capita.", "answer": "Libya", "table": "**Aid received per capita from the U.S.**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 1965 | 1975 |\n| Afghanistan | $5 | $5 |\n| Libya | $4 | $2 |\n| Algeria | $12 | $11 |" } ] }, { "id": "2018", "image": "2018.png", "conversations": [ { "from": "human", "question": "While doing a project for P. E. class, Brandon researched the number of athletes competing in an international sporting event. How many countries have at least 10 athletes but fewer than 22 athletes?\n" }, { "from": "gpt", "solution": "Count all the leaves in the row with stem 1.\n\nIn the row with stem 2, count all the leaves less than 2.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plots above. 3 countries have at least 10 athletes but fewer than 22 athletes.", "answer": "3", "table": "**Athletes per country**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 4 |\n| 2 | 1, 4, 5 |\n| 3 | 6, 8, 8 |\n| 4 | 1, 3, 8, 8, 9 |\n| 5 | 5, 6, 6 |" } ] }, { "id": "2022", "image": "2022.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does the train depart from the riverfront?\n" }, { "from": "gpt", "solution": "Find the riverfront on the schedule. Find the departure time for the riverfront.\n\nriverfront: 12:40 P. M.", "answer": "12:40 P.M.", "table": "**Light rail train schedule**\n\n| Location | Time |\n| --- | --- |\n| science museum | 10:55 A.M. |\n| elementary school | 11:25 A.M. |\n| swimming pool | 11:50 A.M. |\n| grocery store | 12:05 P.M. |\n| basketball stadium | 12:15 P.M. |\n| downtown | 12:35 P.M. |\n| riverfront | 12:40 P.M. |\n| hospital | 12:45 P.M. |\n| shopping mall | 12:55 P.M. |\n| zoo | 1:10 P.M. |" } ] }, { "id": "2024", "image": "2024.png", "conversations": [ { "from": "human", "question": "Each crate has 2 bunches of bananas. How many bunches of bananas are in 3 crates?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 6 bunches of bananas in 3 crates.", "answer": "6", "table": "| Number of crates | Number of bunches of bananas |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | ? |" } ] }, { "id": "2033", "image": "2033.png", "conversations": [ { "from": "human", "question": "A concession stand worker at the movie theater looked up how many bags of popcorn were sold in the past 5 days. How many more bags of popcorn did the movie theater sell on Thursday than on Wednesday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nThursday: 7,753\nWednesday: 1,605\n\nNow subtract: 7,753 - 1,605 = 6,148.\n\nThe movie theater sold 6,148 more bags of popcorn on Thursday.", "answer": "6,148", "table": "**Bags of popcorn sold**\n\n| Day | Number of bags of popcorn |\n| --- | --- |\n| Sunday | 6,279 |\n| Monday | 3,731 |\n| Tuesday | 5,216 |\n| Wednesday | 1,605 |\n| Thursday | 7,753 |" } ] }, { "id": "2037", "image": "2037.png", "conversations": [ { "from": "human", "question": "Allie kept a written log of how many miles she biked during the past 7 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 3, 7, 2, 5, 8, 4\n\nFirst, find the greatest number. The greatest number is 9.\n\nNext, find the least number. The least number is 2.\n\nSubtract the least number from the greatest number:\n\n9 − 2 = 7\n\nThe range is 7.", "answer": "7", "table": "**Miles biked**\n\n| Day | Number of miles |\n| --- | --- |\n| Wednesday | 9 |\n| Thursday | 3 |\n| Friday | 7 |\n| Saturday | 2 |\n| Sunday | 5 |\n| Monday | 8 |\n| Tuesday | 4 |" } ] }, { "id": "2039", "image": "2039.png", "conversations": [ { "from": "human", "question": "Each twig has 2 grasshoppers. How many grasshoppers are on 6 twigs?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 12 grasshoppers on 6 twigs.", "answer": "12", "table": "| Number of twigs | Number of grasshoppers |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | 6 |\n| 4 | 8 |\n| 5 | 10 |\n| 6 | ? |" } ] }, { "id": "2041", "image": "2041.png", "conversations": [ { "from": "human", "question": "Fans of the Lancaster baseball team compared the number of games won by their team each year. According to the table, what was the rate of change between 2007 and 2008?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{33 games - 44 games}{2008 - 2007}\n = \\frac{33 games - 44 games}{1 year}\n = \\frac{-11 games}{1 year}\n = -11 games per year\nThe rate of change between 2007 and 2008 was - 11 games per year.", "answer": "-11", "table": "**Games won by the Lancaster baseball team**\n\n| Year | Games won |\n| --- | --- |\n| 2006 | 20 |\n| 2007 | 44 |\n| 2008 | 33 |\n| 2009 | 31 |\n| 2010 | 17 |" } ] }, { "id": "2042", "image": "2042.png", "conversations": [ { "from": "human", "question": "An Idaho farmer has been monitoring crop prices over time. Per cwt, how much did potatoes cost in 2006?\n" }, { "from": "gpt", "solution": "First, find the row for potatoes. Then find the number in the 2006 column.\n\nThis number is $6.00. In 2006, potatoes cost $6 per cwt.", "answer": "6", "table": "**Idaho crop prices per cwt**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Crop | 2005 | 2006 |\n| Canola | $10 | $12 |\n| Potatoes | $6 | $6 |\n| Timothy seed | $7 | $11 |" } ] }, { "id": "2050", "image": "2050.png", "conversations": [ { "from": "human", "question": "Hannah's Candies has been studying how much chocolate people have been eating in different countries. How much chocolate was consumed per capita in Germany in 2002?\n" }, { "from": "gpt", "solution": "First, find the row for Germany. Then find the number in the 2002 column.\n\nThis number is 10. In 2002, people in Germany consumed 10 kilograms of chocolate per capita.", "answer": "10", "table": "**Chocolate consumption per capita (kg)**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 2002 | 2005 |\n| Germany | 10 | 11 |\n| Norway | 8 | 9 |\n| Australia | 4 | 5 |\n| Denmark | 9 | 8 |" } ] }, { "id": "2057", "image": "2057.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which event begins at 11.30 A.M.?\n" }, { "from": "gpt", "solution": "Find 11:30 A. M. on the schedule. The bean bag toss begins at 11:30 A. M.", "answer": "bean bag toss", "table": "**Field day schedule**\n\n| Event | Begin | End |\n| --- | --- | --- |\n| relay race | 10:55 A.M. | 11:20 A.M. |\n| bean bag toss | 11:30 A.M. | 12:30 P.M. |\n| hurdles | 12:45 P.M. | 1:40 P.M. |\n| parachute ball toss | 1:55 P.M. | 2:15 P.M. |\n| water balloon toss | 2:30 P.M. | 2:55 P.M. |\n| egg relay | 3:05 P.M. | 3:30 P.M. |\n| jump rope race | 3:35 P.M. | 4:20 P.M. |" } ] }, { "id": "2063", "image": "2063.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. How long does it take to get from Dayton to Burlington?\n" }, { "from": "gpt", "solution": "Read the times in the first column for Dayton and Burlington.\n\nFind the elapsed time between 12:00 P. M. and 1:30 P. M. The elapsed time is 1 hour and 30 minutes.\n\nNo matter which column of times you look at, the elapsed time is always 1 hour and 30 minutes.", "answer": "1 hour and 30 minutes", "table": "**Train schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 | Column 5 |\n| --- | --- | --- | --- | --- |\n| Georgetown | 5:00 A.M. | 6:15 A.M. | 2:15 P.M. | 10:15 P.M. |\n| Washington | 5:30 A.M. | 6:45 A.M. | 2:45 P.M. | 10:45 P.M. |\n| Livingston | 7:00 A.M. | 8:15 A.M. | 4:15 P.M. | 12:15 A.M. |\n| Westminster | 8:00 A.M. | 9:15 A.M. | 5:15 P.M. | 1:15 A.M. |\n| Weston | 9:15 A.M. | 10:30 A.M. | 6:30 P.M. | 2:30 A.M. |\n| Oakland | 10:30 A.M. | 11:45 A.M. | 7:45 P.M. | 3:45 A.M. |\n| Dayton | 12:00 P.M. | 1:15 P.M. | 9:15 P.M. | 5:15 A.M. |\n| Burlington | 1:30 P.M. | 2:45 P.M. | 10:45 P.M. | 6:45 A.M. |" } ] }, { "id": "2066", "image": "2066.png", "conversations": [ { "from": "human", "question": "How much more does pasta with tomato sauce cost than a cheese pizza?\n" }, { "from": "gpt", "solution": "Subtract the price of a cheese pizza from the price of pasta with tomato sauce.\n\n$8 - $6 = $2\n\nPasta with tomato sauce costs $2 more than a cheese pizza.", "answer": "2", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pasta with tomato sauce | $8 |\n| cheese pizza | $6 |\n| green salad | $2 |\n| pasta with white sauce | $9 |\n| grilled eggplant | $7 |" } ] }, { "id": "2067", "image": "2067.png", "conversations": [ { "from": "human", "question": "The school district compared how many swings each elementary school has. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n10, 5, 10, 5, 7, 7, 7, 3\n\nFirst, arrange the numbers from least to greatest:\n\n3, 5, 5, 7, 7, 7, 10, 10\n\nNow count how many times each number appears.\n\n3 appears 1 time.\n5 appears 2 times.\n7 appears 3 times.\n10 appears 2 times.\n\nThe number that appears most often is 7.\n\nThe mode is 7.", "answer": "7", "table": "**Swings**\n\n| School | Number of swings |\n| --- | --- |\n| Hillside Elementary | 10 |\n| Newberry Elementary | 5 |\n| Canyon Elementary | 10 |\n| Jefferson Elementary | 5 |\n| Valley Elementary | 7 |\n| Lincoln Elementary | 7 |\n| Boyd Elementary | 7 |\n| Shoreline Elementary | 3 |" } ] }, { "id": "2078", "image": "2078.png", "conversations": [ { "from": "human", "question": "The transportation company tracked the number of train tickets sold in the past 4 days. On which day were the most train tickets sold?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 99.\n\nNow find the corresponding day. Friday corresponds to 99.", "answer": "Friday", "table": "**Train tickets sold**\n\n| Day | Number of tickets |\n| --- | --- |\n| Thursday | 93 |\n| Friday | 99 |\n| Saturday | 92 |\n| Sunday | 96 |" } ] }, { "id": "2083", "image": "2083.png", "conversations": [ { "from": "human", "question": "Jim has $112. Does he have enough to buy a leaf blower and a wooden bench?\n" }, { "from": "gpt", "solution": "Add the price of a leaf blower and the price of a wooden bench:\n\n$66 + $40 = $106\n\n$106 is less than $112. Jim does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| lawn mower | $35 |\n| leaf blower | $66 |\n| wooden bench | $40 |\n| iron bench | $82 |\n| beach umbrella | $90 |" } ] }, { "id": "2085", "image": "2085.png", "conversations": [ { "from": "human", "question": "The financial aid office at McKinney University produced an internal report on the number of students receiving scholarships. According to the table, what was the rate of change between 2010 and 2011?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{16 students - 17 students}{2011 - 2010}\n = \\frac{16 students - 17 students}{1 year}\n = \\frac{-1 students}{1 year}\n = -1 students per year\nThe rate of change between 2010 and 2011 was - 1 students per year.", "answer": "-1", "table": "**Students receiving scholarships**\n\n| Year | Students |\n| --- | --- |\n| 2009 | 23 |\n| 2010 | 17 |\n| 2011 | 16 |\n| 2012 | 15 |\n| 2013 | 12 |" } ] }, { "id": "2091", "image": "2091.png", "conversations": [ { "from": "human", "question": "A grocery store chain tracked the number of trips people made to its stores last week. How many people are there in all?\n" }, { "from": "gpt", "solution": "Add the frequencies for each row.\n\nAdd:\n\n18 + 1 + 17 + 2 = 38\n\nThere are 38 people in all.", "answer": "38", "table": "**Trips to the grocery store last week**\n\n| Number of trips | Frequency |\n| --- | --- |\n| 1 | 18 |\n| 2 | 1 |\n| 3 | 17 |\n| 4 | 2 |" } ] }, { "id": "2092", "image": "2092.png", "conversations": [ { "from": "human", "question": "To figure out how many vacation days he had left to use, Wesley looked over his old calendars to figure out how many days of vacation he had taken each year. According to the table, what was the rate of change between 2010 and 2011?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{22 vacation days - 19 vacation days}{2011 - 2010}\n = \\frac{22 vacation days - 19 vacation days}{1 year}\n = \\frac{3 vacation days}{1 year}\n = 3 vacation days per year\nThe rate of change between 2010 and 2011 was 3 vacation days per year.", "answer": "3", "table": "**Vacation days taken by Wesley**\n\n| Year | Vacation days |\n| --- | --- |\n| 2009 | 23 |\n| 2010 | 19 |\n| 2011 | 22 |\n| 2012 | 20 |\n| 2013 | 25 |" } ] }, { "id": "2099", "image": "2099.png", "conversations": [ { "from": "human", "question": "Some students compared how many clubs they belong to. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n1, 1, 4, 5, 3, 3, 5, 5\n\nFirst, arrange the numbers from least to greatest:\n\n1, 1, 3, 3, 4, 5, 5, 5\n\nNow count how many times each number appears.\n\n1 appears 2 times.\n3 appears 2 times.\n4 appears 1 time.\n5 appears 3 times.\n\nThe number that appears most often is 5.\n\nThe mode is 5.", "answer": "5", "table": "**Clubs**\n\n| Name | Number of clubs |\n| --- | --- |\n| Kirk | 1 |\n| Reggie | 1 |\n| Chloe | 4 |\n| Norma | 5 |\n| Pedro | 3 |\n| Maddie | 3 |\n| Hassan | 5 |\n| Anna | 5 |" } ] }, { "id": "2106", "image": "2106.png", "conversations": [ { "from": "human", "question": "Michelle counted all the beads in each necklace at the jewelry store where she works. How many necklaces had at least 40 beads but fewer than 100 beads?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 4, 5, 6, 7, 8, and 9.\n\nYou counted 12 leaves, which are blue in the stem-and-leaf plot above. 12 necklaces had at least 40 beads but fewer than 100 beads.", "answer": "12", "table": "**Beads per necklace**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 3, 3 |\n| 3 | 1, 2, 6, 7 |\n| 4 | |\n| 5 | 0, 0, 5, 6 |\n| 6 | 1, 3, 8 |\n| 7 | |\n| 8 | 4, 7 |\n| 9 | 0, 0, 0 |" } ] }, { "id": "2113", "image": "2113.png", "conversations": [ { "from": "human", "question": "Lillian graphed the daily low temperature for 7 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n5, 14, 11, 19, 13, 7, 16\n\nFirst, arrange the numbers from least to greatest:\n\n5, 7, 11, 13, 14, 16, 19\n\nNow find the number in the middle.\n\n5, 7, 11, 13, 14, 16, 19\n\nThe number in the middle is 13.\n\nThe median is 13.", "answer": "13", "table": "**Daily low temperature**\n\n| Day | Temperature (°C) |\n| --- | --- |\n| Thursday | 5 |\n| Friday | 14 |\n| Saturday | 11 |\n| Sunday | 19 |\n| Monday | 13 |\n| Tuesday | 7 |\n| Wednesday | 16 |" } ] }, { "id": "2125", "image": "2125.png", "conversations": [ { "from": "human", "question": "Ayana's P.E. class participated in a push-up competition, and Ayana wrote down how many push-ups each person could do. How many people did at least 70 push-ups?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 7 and 8.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 people did at least 70 push-ups.", "answer": "4", "table": "**Push-up competition (number of push-ups)**\n\n| Stem | Leaf |\n| --- | --- |\n| 5 | 5, 8 |\n| 6 | |\n| 7 | 4, 5, 9 |\n| 8 | 6 |" } ] }, { "id": "2139", "image": "2139.png", "conversations": [ { "from": "human", "question": "Some students compared how many clubs they belong to. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n3, 1, 7, 3, 3, 3, 7, 7\n\nFirst, arrange the numbers from least to greatest:\n\n1, 3, 3, 3, 3, 7, 7, 7\n\nNow count how many times each number appears.\n\n1 appears 1 time.\n3 appears 4 times.\n7 appears 3 times.\n\nThe number that appears most often is 3.\n\nThe mode is 3.", "answer": "3", "table": "**Clubs**\n\n| Name | Number of clubs |\n| --- | --- |\n| Aiden | 3 |\n| Nolan | 1 |\n| Quinn | 7 |\n| Elise | 3 |\n| Larry | 3 |\n| Rose | 3 |\n| Zoe | 7 |\n| Gabriel | 7 |" } ] }, { "id": "2151", "image": "2151.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does the train arrive at Park Avenue?\n" }, { "from": "gpt", "solution": "Find Park Avenue on the schedule. Find the arrival time for Park Avenue.\n\nPark Avenue: 1:20 P. M.", "answer": "1:20 P.M.", "table": "**Subway train schedule**\n\n| Location | Time |\n| --- | --- |\n| Hill Road | 10:00 A.M. |\n| Taylor Street | 10:45 A.M. |\n| Williams Street | 11:35 A.M. |\n| Maple Boulevard | 12:15 P.M. |\n| Davis Road | 12:25 P.M. |\n| Lee Road | 12:30 P.M. |\n| Park Avenue | 1:20 P.M. |\n| Washington Boulevard | 1:30 P.M. |\n| Johnson Avenue | 1:35 P.M. |\n| Spring Avenue | 1:50 P.M. |" } ] }, { "id": "2154", "image": "2154.png", "conversations": [ { "from": "human", "question": "The week of her birthday, Kiara paid attention to how many pieces of mail she received each day. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n2, 10, 6, 4, 10, 8\n\nFirst, find the greatest number. The greatest number is 10.\n\nNext, find the least number. The least number is 2.\n\nSubtract the least number from the greatest number:\n\n10 − 2 = 8\n\nThe range is 8.", "answer": "8", "table": "**Pieces of mail received**\n\n| Day | Number of pieces of mail |\n| --- | --- |\n| Saturday | 2 |\n| Monday | 10 |\n| Tuesday | 6 |\n| Wednesday | 4 |\n| Thursday | 10 |\n| Friday | 8 |" } ] }, { "id": "2155", "image": "2155.png", "conversations": [ { "from": "human", "question": "Will has $12,547. Does he have enough to buy a ticket for a Mexican cruise and a ticket for an Atlantic cruise?\n" }, { "from": "gpt", "solution": "Add the price of a ticket for a Mexican cruise and the price of a ticket for an Atlantic cruise:\n\n$5,832 + $7,328 = $13,160\n\n$13,160 is more than $12,547. Will does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| ticket for an Alaskan cruise | $1,967 |\n| ticket for a Mexican cruise | $5,832 |\n| ticket for a Mediterranean cruise | $8,138 |\n| ticket for an Atlantic cruise | $7,328 |\n| ticket for an Australian cruise | $1,276 |" } ] }, { "id": "2156", "image": "2156.png", "conversations": [ { "from": "human", "question": "How much money does Brittany need to buy a wrench and a padlock?\n" }, { "from": "gpt", "solution": "Add the price of a wrench and the price of a padlock:\n\n$6.01 + $4.96 = $10.97\n\nBrittany needs $10.97.", "answer": "10.97", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| broom | $3.05 |\n| wrench | $6.01 |\n| can of paint | $9.36 |\n| padlock | $4.96 |\n| lawn sprinkler | $5.50 |" } ] }, { "id": "2158", "image": "2158.png", "conversations": [ { "from": "human", "question": "A vendor who sold bread at farmers' markets counted the number of leftover loaves at the end of each day. According to the table, what was the rate of change between Wednesday and Thursday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{38 loaves - 15 loaves}{1 day}\n = \\frac{23 loaves}{1 day}\n = 23 loaves per day\nThe rate of change between Wednesday and Thursday was 23 loaves per day.", "answer": "23", "table": "**Loaves of leftover bread**\n\n| Day | Leftover loaves |\n| --- | --- |\n| Sunday | 24 |\n| Monday | 9 |\n| Tuesday | 19 |\n| Wednesday | 15 |\n| Thursday | 38 |" } ] }, { "id": "2161", "image": "2161.png", "conversations": [ { "from": "human", "question": "Luke has two dogs, Sprinkles and Champ. He is concerned because Sprinkles keeps eating Champ's food. Luke asks their vet how much each dog's weight has changed since their last visit. Which dog's weight has changed the most?\n" }, { "from": "gpt", "solution": "To find which dog's weight changed the most, use absolute value. Absolute value tells you how much each dog's weight has changed.\nSprinkles: |5| = 5\nChamp: |-6| = 6\nChamp's weight has changed the most. He has lost 6 ounces.", "answer": "Champ", "table": "| Dog | Weight change (oz.) |\n| --- | --- |\n| Sprinkles | 5 |\n| Champ | -6 |" } ] }, { "id": "2176", "image": "2176.png", "conversations": [ { "from": "human", "question": "How much money does Donald need to buy a case of beakers and an incubator?\n" }, { "from": "gpt", "solution": "Add the price of a case of beakers and the price of an incubator:\n\n$273.00 + $438.00 = $711.00\n\nDonald needs $711.00.", "answer": "711", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| incubator | $438.00 |\n| centrifuge | $733.00 |\n| barometer | $228.00 |\n| case of test tubes | $391.00 |\n| case of beakers | $273.00 |\n| telescope | $725.00 |" } ] }, { "id": "2178", "image": "2178.png", "conversations": [ { "from": "human", "question": "Mrs. Newman told students how many rounds to expect in the spelling bee based on previous years. According to the table, what was the rate of change between 2010 and 2011?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{15 rounds - 13 rounds}{2011 - 2010}\n = \\frac{15 rounds - 13 rounds}{1 year}\n = \\frac{2 rounds}{1 year}\n = 2 rounds per year\nThe rate of change between 2010 and 2011 was 2 rounds per year.", "answer": "2", "table": "**Rounds in the spelling bee**\n\n| Year | Rounds |\n| --- | --- |\n| 2009 | 15 |\n| 2010 | 13 |\n| 2011 | 15 |\n| 2012 | 15 |\n| 2013 | 12 |" } ] }, { "id": "2180", "image": "2180.png", "conversations": [ { "from": "human", "question": "Scott, a fitness counselor, counted the number of pull-ups completed by each bootcamp participant. How many participants did more than 2 pull-ups?\n" }, { "from": "gpt", "solution": "Find the row for 3 pull-ups and read the frequency. The frequency is 6.\n\n6 participants did more than 2 pull-ups.", "answer": "6", "table": "**Doing pull-ups**\n\n| Number of pull-ups | Frequency |\n| --- | --- |\n| 0 | 19 |\n| 1 | 14 |\n| 2 | 10 |\n| 3 | 6 |" } ] }, { "id": "2183", "image": "2183.png", "conversations": [ { "from": "human", "question": "The county released data about how many schools there are in each town. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 5, 7, 9, 5, 8, 8, 5\n\nFirst, find the greatest number. The greatest number is 9.\n\nNext, find the least number. The least number is 5.\n\nSubtract the least number from the greatest number:\n\n9 − 5 = 4\n\nThe range is 4.", "answer": "4", "table": "**Schools in each town**\n\n| Town | Number of schools |\n| --- | --- |\n| Richmond | 7 |\n| Salem | 5 |\n| Columbia | 7 |\n| Mayfield | 9 |\n| Chesterton | 5 |\n| Watertown | 8 |\n| Marion | 8 |\n| Springfield | 5 |" } ] }, { "id": "2191", "image": "2191.png", "conversations": [ { "from": "human", "question": "Camille wants to buy 1 pound of sesame seeds and 1 pound of pumpkin seeds. How much will she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the sesame seeds. Multiply:\n\n$5 × 1 = $5\n\nFind the cost of the pumpkin seeds. Multiply:\n\n$2 × 1 = $2\n\nNow find the total cost by adding:\n\n$5 + $2 = $7\n\nShe will spend $7.", "answer": "7", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| sunflower seeds | $3 per pound |\n| flax seeds | $6 per pound |\n| sesame seeds | $5 per pound |\n| soybeans | $3 per pound |\n| lentils | $2 per pound |\n| pumpkin seeds | $2 per pound |" } ] }, { "id": "2196", "image": "2196.png", "conversations": [ { "from": "human", "question": "A dog show enthusiast recorded the weight of the winning dog at recent dog shows. According to the table, what was the rate of change between 2014 and 2015?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{41 kilograms - 35 kilograms}{2015 - 2014}\n = \\frac{41 kilograms - 35 kilograms}{1 year}\n = \\frac{6 kilograms}{1 year}\n = 6 kilograms per year\nThe rate of change between 2014 and 2015 was 6 kilograms per year.", "answer": "6", "table": "**Weight of winning dog at a dog show**\n\n| Year | Weight (kg) |\n| --- | --- |\n| 2013 | 38 |\n| 2014 | 35 |\n| 2015 | 41 |\n| 2016 | 41 |\n| 2017 | 38 |" } ] }, { "id": "2198", "image": "2198.png", "conversations": [ { "from": "human", "question": "The teachers at a middle school counted how many computers they had in their classrooms. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n18, 18, 11, 6, 6, 18\n\nFirst, arrange the numbers from least to greatest:\n\n6, 6, 11, 18, 18, 18\n\nNow count how many times each number appears.\n\n6 appears 2 times.\n11 appears 1 time.\n18 appears 3 times.\n\nThe number that appears most often is 18.\n\nThe mode is 18.", "answer": "18", "table": "**Computers in classrooms**\n\n| Teacher | Number of computers |\n| --- | --- |\n| Mrs. Tan | 18 |\n| Mrs. Rossi | 18 |\n| Ms. Rojas | 11 |\n| Mr. Watson | 6 |\n| Mr. Morales | 6 |\n| Mr. Lim | 18 |" } ] }, { "id": "2203", "image": "2203.png", "conversations": [ { "from": "human", "question": "An adventure tour company found out how many whales people saw on its most popular whale tour. How many people saw fewer than 3 whales?\n" }, { "from": "gpt", "solution": "Find the rows for 0, 1, and 2 whales. Add the frequencies for these rows.\n\nAdd:\n\n2 + 6 + 0 = 8\n\n8 people saw fewer than 3 whales.", "answer": "8", "table": "**Whale watching**\n\n| Whales spotted | Frequency |\n| --- | --- |\n| 0 | 2 |\n| 1 | 6 |\n| 2 | 0 |\n| 3 | 17 |\n| 4 | 3 |\n| 5 | 12 |" } ] }, { "id": "2205", "image": "2205.png", "conversations": [ { "from": "human", "question": "Vincent has $14,929.00. Does he have enough to buy a Morgan horse and a Palomino horse?\n" }, { "from": "gpt", "solution": "Add the price of a Morgan horse and the price of a Palomino horse:\n\n$5,483.00 + $9,636.00 = $15,119.00\n\n$15,119.00 is more than $14,929.00. Vincent does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| Morgan horse | $5,483.00 |\n| Palomino horse | $9,636.00 |\n| Arabian horse | $4,815.00 |\n| Pinto horse | $3,778.00 |\n| Hanoverian horse | $8,799.00 |" } ] }, { "id": "2217", "image": "2217.png", "conversations": [ { "from": "human", "question": "Several people compared how many Web pages they had visited. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n3, 10, 3, 3, 10, 9\n\nFirst, arrange the numbers from least to greatest:\n\n3, 3, 3, 9, 10, 10\n\nNow count how many times each number appears.\n\n3 appears 3 times.\n9 appears 1 time.\n10 appears 2 times.\n\nThe number that appears most often is 3.\n\nThe mode is 3.", "answer": "3", "table": "**Web pages visited**\n\n| Person | Number of Web pages |\n| --- | --- |\n| Rudy | 3 |\n| Dominic | 10 |\n| Andy | 3 |\n| Colleen | 3 |\n| Bella | 10 |\n| Ed | 9 |" } ] }, { "id": "2222", "image": "2222.png", "conversations": [ { "from": "human", "question": "Jordan buys 3.4 kilograms of glass beads. What is the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the glass beads. Multiply the price per kilogram by the number of kilograms.\n$5 × 3.4 = $17\nThe total cost is $17.", "answer": "17", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| glass beads | $5 per kilogram |\n| metal beads | $3 per kilogram |\n| plastic beads | $2 per kilogram |\n| crystal beads | $2 per kilogram |\n| paper beads | $5 per kilogram |\n| ceramic beads | $5 per kilogram |" } ] }, { "id": "2230", "image": "2230.png", "conversations": [ { "from": "human", "question": "How much money does Cassie need to buy 7 rugs?\n" }, { "from": "gpt", "solution": "Find the total cost of 7 rugs by multiplying 7 times the price of a rug.\n\n$78.00 × 7 = $546.00\n\nCassie needs $546.00.", "answer": "546", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| oil painting | $99.00 |\n| silver coat rack | $71.00 |\n| rug | $78.00 |\n| chandelier | $76.00 |\n| crystal sculpture | $69.00 |" } ] }, { "id": "2231", "image": "2231.png", "conversations": [ { "from": "human", "question": "Wyatt went to the store and bought 0.4 pounds of brisket. How much did he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the brisket. Multiply the price per pound by the number of pounds.\n$3 × 0.4 = $1.20\nHe spent $1.20.", "answer": "1.20", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| brisket | $3/pound |\n| round | $4/pound |\n| loin | $10/pound |\n| shank | $8/pound |\n| flank | $3/pound |\n| rib | $3/pound |" } ] }, { "id": "2235", "image": "2235.png", "conversations": [ { "from": "human", "question": "Ashley's class recorded how many cans of food each student collected for their canned food drive. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n21, 16, 27, 29, 22, 18, 17, 22\n\nFirst, find the greatest number. The greatest number is 29.\n\nNext, find the least number. The least number is 16.\n\nSubtract the least number from the greatest number:\n\n29 − 16 = 13\n\nThe range is 13.", "answer": "13", "table": "**Cans of food collected**\n\n| Name | Number of cans of food |\n| --- | --- |\n| Ashley | 21 |\n| Perry | 16 |\n| Duncan | 27 |\n| Bobby | 29 |\n| Lucy | 22 |\n| Mitchell | 18 |\n| Katie | 17 |\n| Will | 22 |" } ] }, { "id": "2236", "image": "2236.png", "conversations": [ { "from": "human", "question": "Tara spent a week at the beach and recorded the number of shells she found each day. According to the table, what was the rate of change between Wednesday and Thursday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{2 shells - 9 shells}{1 day}\n = \\frac{-7 shells}{1 day}\n = -7 shells per day\nThe rate of change between Wednesday and Thursday was - 7 shells per day.", "answer": "-7", "table": "**Shells Tara found**\n\n| Day | Number of shells |\n| --- | --- |\n| Tuesday | 5 |\n| Wednesday | 9 |\n| Thursday | 2 |\n| Friday | 1 |\n| Saturday | 4 |" } ] }, { "id": "2250", "image": "2250.png", "conversations": [ { "from": "human", "question": "A stock broker followed the stock prices of a certain set of companies. How much did White and Company's stock cost on Thursday?\n" }, { "from": "gpt", "solution": "First, find the row for White and Company. Then find the number in the Thursday column.\n\nThis number is $1.00. White and Company's stock cost $1 on Thursday.", "answer": "1", "table": "**Stock prices**\n\n| Company | Wednesday | Thursday |\n| --- | --- | --- |\n| Jonas Incorporated | $7 | $6 |\n| White and Company | $18 | $1 |\n| Houston Sporting Goods | $10 | $16 |" } ] }, { "id": "2254", "image": "2254.png", "conversations": [ { "from": "human", "question": "Charlie's Candies has been studying how much chocolate people have been eating in different countries. How much chocolate was consumed per capita in Norway in 2002?\n" }, { "from": "gpt", "solution": "First, find the row for Norway. Then find the number in the 2002 column.\n\nThis number is 8. In 2002, people in Norway consumed 8 kilograms of chocolate per capita.", "answer": "8", "table": "**Chocolate consumption per capita (kg)**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 2002 | 2005 |\n| Norway | 8 | 9 |\n| Belgium | 8 | 11 |\n| Sweden | 8 | 7 |\n| Denmark | 9 | 8 |" } ] }, { "id": "2255", "image": "2255.png", "conversations": [ { "from": "human", "question": "Camilla counted the number of silver beads on each bracelet at Castroville Jewelry, the store where she works. How many bracelets had at least 79 silver beads?\n" }, { "from": "gpt", "solution": "Find the row with stem 7. Count all the leaves greater than or equal to 9.\n\nCount all the leaves in the row with stem 8.\n\nYou counted 1 leaf, which is blue in the stem-and-leaf plots above. 1 bracelet had at least 79 silver beads.", "answer": "1", "table": "**Silver beads per bracelet**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 2, 3 |\n| 2 | 6 |\n| 3 | 3, 6, 6 |\n| 4 | 8 |\n| 5 | 3, 6, 8 |\n| 6 | 0, 2, 3 |\n| 7 | 2, 5, 6 |\n| 8 | 2 |" } ] }, { "id": "2259", "image": "2259.png", "conversations": [ { "from": "human", "question": "The Lowell Chamber of Commerce researched the number of employees working at local companies. What is the size of the largest company?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 9.\n\nNow find the highest leaf in the last row. The highest leaf is 0.\n\nThe size of the largest company has a stem of 9 and a leaf of 0. Write the stem first, then the leaf: 90.\n\nThe size of the largest company is 90 employees.", "answer": "90", "table": "**Company sizes (number of employees)**\n\n| Stem | Leaf |\n| --- | --- |\n| 0 | 0 |\n| 1 | 1, 8, 8 |\n| 2 | 2 |\n| 3 | |\n| 4 | 9 |\n| 5 | 1, 3, 6, 9, 9 |\n| 6 | |\n| 7 | |\n| 8 | 0, 4 |\n| 9 | 0 |" } ] }, { "id": "2270", "image": "2270.png", "conversations": [ { "from": "human", "question": "An agricultural agency is researching how much cheese people have been eating in different parts of the world. In 2006, how much more cheese did Austria consume per capita than Canada?\n" }, { "from": "gpt", "solution": "Find the 2006 column. Find the numbers in this column for Austria and Canada.\n\nAustria: 17\nCanada: 11\n\nNow subtract:\n\n17 − 11 = 6\n\nIn 2006, Austria consumed 6 kilograms more cheese per capita than Canada.", "answer": "6", "table": "**Cheese consumption per capita (kg)**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 1996 | 2006 |\n| Great Britain | 9 | 10 |\n| Canada | 10 | 11 |\n| Austria | 10 | 17 |" } ] }, { "id": "2274", "image": "2274.png", "conversations": [ { "from": "human", "question": "Cindy has $1.50. Does she have enough to buy a bottle of ketchup and a bottle of vinegar?\n" }, { "from": "gpt", "solution": "Add the price of a bottle of ketchup and the price of a bottle of vinegar:\n\n$0.98 + $0.57 = $1.55\n\n$1.55 is more than $1.50. Cindy does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| jar of salsa | $0.99 |\n| bottle of ketchup | $0.98 |\n| bottle of vinegar | $0.57 |\n| bottle of hot sauce | $0.86 |" } ] }, { "id": "2279", "image": "2279.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does Mr. Carroll's class begin?\n" }, { "from": "gpt", "solution": "Find Mr. Carroll's class on the schedule. Find the beginning time for Mr. Carroll's class.\n\nMr. Carroll's class: 9:35 A. M.", "answer": "9:35 A.M.", "table": "**Library schedule**\n\n| Class | Begin | End |\n| --- | --- | --- |\n| Mrs. Garrison's class | 8:15 A.M. | 9:20 A.M. |\n| Mr. Carroll's class | 9:35 A.M. | 10:40 A.M. |\n| Mrs. Taylor's class | 11:00 A.M. | 12:05 P.M. |\n| Mr. Suzuki's class | 12:25 P.M. | 12:45 P.M. |\n| Mr. Wong's class | 12:55 P.M. | 1:40 P.M. |\n| Ms. Ramsey's class | 1:45 P.M. | 2:15 P.M. |\n| Mrs. Snyder's class | 2:35 P.M. | 3:00 P.M. |\n| Mr. Hammond's class | 3:10 P.M. | 3:40 P.M. |" } ] }, { "id": "2291", "image": "2291.png", "conversations": [ { "from": "human", "question": "Colin has $16. How much money will Colin have left if he buys a broom and a bucket?\n" }, { "from": "gpt", "solution": "Find the total cost of a broom and a bucket.\n\n$3 + $8 = $11\n\nNow subtract the total cost from the starting amount.\n\n$16 - $11 = $5\n\nColin will have $5 left.", "answer": "5", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| bucket | $8 |\n| mop | $7 |\n| broom | $3 |\n| wrench | $4 |\n| padlock | $3 |\n| measuring tape | $6 |" } ] }, { "id": "2293", "image": "2293.png", "conversations": [ { "from": "human", "question": "Mr. Herrera recorded the scores of his students on the most recent math quiz. How many students scored less than 8?\n" }, { "from": "gpt", "solution": "Find the rows for 5, 6, and 7. Add the frequencies for these rows.\n\nAdd:\n\n9 + 15 + 14 = 38\n\n38 students scored less than 8.", "answer": "38", "table": "**Scores on the math quiz**\n\n| Score | Frequency |\n| --- | --- |\n| 5 | 9 |\n| 6 | 15 |\n| 7 | 14 |\n| 8 | 1 |\n| 9 | 16 |\n| 10 | 18 |" } ] }, { "id": "2294", "image": "2294.png", "conversations": [ { "from": "human", "question": "A taxi cab driver tracked how many miles he drove each month. How many more miles did the taxi cab driver drive in January than in December?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nJanuary: 3,496\nDecember: 1,419\n\nNow subtract: 3,496 - 1,419 = 2,077.\n\nThe taxi cab driver drove 2,077 more miles in January.", "answer": "2,077", "table": "**Miles driven**\n\n| Month | Miles |\n| --- | --- |\n| October | 5,658 |\n| November | 7,817 |\n| December | 1,419 |\n| January | 3,496 |\n| February | 6,665 |" } ] }, { "id": "2295", "image": "2295.png", "conversations": [ { "from": "human", "question": "A researcher working for a cereal company surveyed people about their cereal consumption habits. How many people ate cereal more than 4 times?\n" }, { "from": "gpt", "solution": "Find the rows for 5 and 6 times. Add the frequencies for these rows.\n\nAdd:\n\n10 + 20 = 30\n\n30 people ate cereal more than 4 times.", "answer": "30", "table": "**Eating cereal last week**\n\n| Times eaten | Frequency |\n| --- | --- |\n| 0 | 7 |\n| 1 | 13 |\n| 2 | 15 |\n| 3 | 3 |\n| 4 | 0 |\n| 5 | 10 |\n| 6 | 20 |" } ] }, { "id": "2299", "image": "2299.png", "conversations": [ { "from": "human", "question": "Each string has 2 beads. How many beads are on 6 strings?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 12 beads on 6 strings.", "answer": "12", "table": "| Number of strings | Number of beads |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | 6 |\n| 4 | 8 |\n| 5 | 10 |\n| 6 | ? |" } ] }, { "id": "2307", "image": "2307.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{15 - 8}{13 - 12}\n = \\frac{7}{1}\n = 7\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{16 - 8}{14 - 12}\n = \\frac{8}{2}\n = 4\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 12 | 8 |\n| 13 | 15 |\n| 14 | 16 |" } ] }, { "id": "2314", "image": "2314.png", "conversations": [ { "from": "human", "question": "Franklin has $27.00. Does he have enough to buy a chocolate cheesecake and an apple tart?\n" }, { "from": "gpt", "solution": "Add the price of a chocolate cheesecake and the price of an apple tart:\n\n$10.12 + $16.88 = $27.00\n\nSince Franklin has $27.00, he has just enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| carrot cake | $26.09 |\n| pear tart | $18.02 |\n| chocolate cheesecake | $10.12 |\n| apple tart | $16.88 |\n| birthday cake | $24.29 |" } ] }, { "id": "2328", "image": "2328.png", "conversations": [ { "from": "human", "question": "An employee at the craft store counted the number of red buttons in each bag of mixed buttons. How many bags had exactly 81 red buttons?\n" }, { "from": "gpt", "solution": "For the number 81, the stem is 8, and the leaf is 1. Find the row where the stem is 8. In that row, count all the leaves equal to 1.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 bags had exactly 81 red buttons.", "answer": "2", "table": "**Red buttons per bag**\n\n| Stem | Leaf |\n| --- | --- |\n| 5 | 6 |\n| 6 | 0, 0, 3, 4, 5 |\n| 7 | 2, 4, 7 |\n| 8 | 1, 1, 5, 6 |\n| 9 | 0 |" } ] }, { "id": "2337", "image": "2337.png", "conversations": [ { "from": "human", "question": "At Springtown Consulting, the head of human resources examined how the number of employees with health care benefits varied in response to policy changes. According to the table, what was the rate of change between 2011 and 2012?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{32 employees - 40 employees}{2012 - 2011}\n = \\frac{32 employees - 40 employees}{1 year}\n = \\frac{-8 employees}{1 year}\n = -8 employees per year\nThe rate of change between 2011 and 2012 was - 8 employees per year.", "answer": "-8", "table": "**Employees with health care benefits**\n\n| Year | Employees |\n| --- | --- |\n| 2008 | 35 |\n| 2009 | 39 |\n| 2010 | 34 |\n| 2011 | 40 |\n| 2012 | 32 |" } ] }, { "id": "2353", "image": "2353.png", "conversations": [ { "from": "human", "question": "Ezra, who rents properties for a living, measures all the offices in a building he is renting. How many offices are at least 27 square meters?\n" }, { "from": "gpt", "solution": "Find the row with stem 2. Count all the leaves greater than or equal to 7.\n\nCount all the leaves in the rows with stems 3, 4, 5, and 6.\n\nYou counted 12 leaves, which are blue in the stem-and-leaf plots above. 12 offices are at least 27 square meters.", "answer": "12", "table": "**Office sizes (square meters)**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 0, 1, 9 |\n| 3 | 1 |\n| 4 | 0, 0, 8, 9 |\n| 5 | 9, 9 |\n| 6 | 3, 3, 6, 8 |" } ] }, { "id": "2357", "image": "2357.png", "conversations": [ { "from": "human", "question": "A high school basketball coach counted the number of points her team scored each game. What is the smallest number of points?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 0.\n\nNow find the lowest leaf in the first row. The lowest leaf is 9.\n\nThe smallest number of points has a stem of 0 and a leaf of 9. Write the stem first, then the leaf: 09.\n\nThe smallest number of points is 9 points.", "answer": "9", "table": "**Points per game**\n\n| Stem | Leaf |\n| --- | --- |\n| 0 | 9 |\n| 1 | 3, 4 |\n| 2 | 6 |\n| 3 | 8 |\n| 4 | |\n| 5 | 0 |\n| 6 | 4 |" } ] }, { "id": "2358", "image": "2358.png", "conversations": [ { "from": "human", "question": "A dog show enthusiast recorded the weight of the winning dog at recent dog shows. According to the table, what was the rate of change between 2011 and 2012?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{36 kilograms - 28 kilograms}{2012 - 2011}\n = \\frac{36 kilograms - 28 kilograms}{1 year}\n = \\frac{8 kilograms}{1 year}\n = 8 kilograms per year\nThe rate of change between 2011 and 2012 was 8 kilograms per year.", "answer": "8", "table": "**Weight of winning dog at a dog show**\n\n| Year | Weight (kg) |\n| --- | --- |\n| 2009 | 32 |\n| 2010 | 38 |\n| 2011 | 28 |\n| 2012 | 36 |\n| 2013 | 37 |" } ] }, { "id": "2359", "image": "2359.png", "conversations": [ { "from": "human", "question": "Some teachers compared how many years they have been teaching. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 10, 9, 6, 6, 3, 5, 10\n\nFirst, count how many numbers are in the group.\n\nThere are 8 numbers.\n\nNow add all the numbers together:\n\n7 + 10 + 9 + 6 + 6 + 3 + 5 + 10 = 56\n\nNow divide the sum by the number of numbers:\n\n56 ÷ 8 = 7\n\nThe mean is 7.", "answer": "7", "table": "**Years of teaching**\n\n| Teacher | Number of years |\n| --- | --- |\n| Miss Watson | 7 |\n| Ms. Chan | 10 |\n| Miss Lim | 9 |\n| Mr. Boone | 6 |\n| Mr. Nakamura | 6 |\n| Mr. Gutierrez | 3 |\n| Ms. Yamamoto | 5 |\n| Miss Torres | 10 |" } ] }, { "id": "2362", "image": "2362.png", "conversations": [ { "from": "human", "question": "How much more does a popcorn cart cost than a shaved ice cart?\n" }, { "from": "gpt", "solution": "Subtract the price of a shaved ice cart from the price of a popcorn cart.\n\n$6,725 - $5,796 = $929\n\nA popcorn cart costs $929 more than a shaved ice cart.", "answer": "929", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| funnel cake stand | $9,238 |\n| pretzel stand | $5,115 |\n| popcorn cart | $6,725 |\n| shaved ice cart | $5,796 |\n| popsicle stand | $7,973 |" } ] }, { "id": "2365", "image": "2365.png", "conversations": [ { "from": "human", "question": "How much money does Trudy need to buy 7 pieces of bubble wrap?\n" }, { "from": "gpt", "solution": "Find the total cost of 7 pieces of bubble wrap by multiplying 7 times the price of a piece of bubble wrap.\n\n$0.70 × 7 = $4.90\n\nTrudy needs $4.90.", "answer": "4.90", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| duck stamp | $0.17 |\n| large cardboard box | $0.81 |\n| small red box | $0.45 |\n| flag stamp | $0.32 |\n| piece of bubble wrap | $0.70 |\n| tulip stamp | $0.16 |" } ] }, { "id": "2367", "image": "2367.png", "conversations": [ { "from": "human", "question": "Gordon and his brother are at a store shopping for a beanbag chair for their school's library. The store sells beanbag chairs with different fabrics and types of filling. What is the probability that a randomly selected beanbag chair is filled with foam and is made from velvet? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the beanbag chair is filled with foam\" and B be the event \"the beanbag chair is made from velvet\".\nTo find the probability that a beanbag chair is filled with foam and is made from velvet, first identify the sample space and the event.\nThe outcomes in the sample space are the different beanbag chairs. Each beanbag chair is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the beanbag chair is filled with foam and is made from velvet\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the beanbag chair is filled with foam and is made from velvet\", so look at the table to see how many beanbag chairs are filled with foam and are made from velvet.\nThe number of beanbag chairs that are filled with foam and are made from velvet is 3.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of beanbag chairs.\n3 + 1 + 4 + 2 = 10\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{3}{10}\nThe probability that a beanbag chair is filled with foam and is made from velvet is \\frac{3}{10}.", "answer": "3/10", "table": "| | Velvet | Suede |\n| --- | --- | --- |\n| Foam | 3 | 4 |\n| Beads | 1 | 2 |" } ] }, { "id": "2372", "image": "2372.png", "conversations": [ { "from": "human", "question": "How much money does Kimberly need to buy a book of crossword puzzles, a map of Canada, and a cookbook?\n" }, { "from": "gpt", "solution": "Find the total cost of a book of crossword puzzles, a map of Canada, and a cookbook.\n\n$8 + $9 + $3 = $20\n\nKimberly needs $20.", "answer": "20", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| book of crossword puzzles | $8 |\n| map of Canada | $9 |\n| cookbook | $3 |\n| cat calendar | $4 |\n| airplane calendar | $7 |" } ] }, { "id": "2373", "image": "2373.png", "conversations": [ { "from": "human", "question": "Tanner has $0.66. Does he have enough to buy a piece of floral stationery and a pale purple note card?\n" }, { "from": "gpt", "solution": "Add the price of a piece of floral stationery and the price of a pale purple note card:\n\n$0.39 + $0.24 = $0.63\n\n$0.63 is less than $0.66. Tanner does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pale purple note card | $0.24 |\n| piece of polka-dotted paper | $0.55 |\n| piece of floral stationery | $0.39 |\n| piece of striped paper | $0.77 |" } ] }, { "id": "2385", "image": "2385.png", "conversations": [ { "from": "human", "question": "How much money does Jake need to buy 3 nights' stay at Bay Breeze Resort?\n" }, { "from": "gpt", "solution": "Find the total cost of 3 nights' stay at Bay Breeze Resort by multiplying 3 times the price of a night's stay at Bay Breeze Resort.\n\n$389.00 × 3 = $1,167.00\n\nJake needs $1,167.00.", "answer": "1,167", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| night's stay at Crescent Motel | $357.00 |\n| night's stay at Royal Canopy Resort | $160.00 |\n| night's stay at Bay Breeze Resort | $389.00 |\n| night's stay at Mahogany Lodge | $474.00 |\n| night's stay at Grand Vista Hotel | $297.00 |\n| night's stay at Hotel Marie | $439.00 |" } ] }, { "id": "2394", "image": "2394.png", "conversations": [ { "from": "human", "question": "To get a rough estimate of her melon farm's profits for the year, Ariana decided to look at some data about melon prices in the past. Which cost more in 1995, cantaloupes or watermelons?\n" }, { "from": "gpt", "solution": "Find the 1995 column. Compare the numbers in this column for cantaloupes and watermelons.\n\n$7.00 is more than $5.00. In 1995, cantaloupes cost more.", "answer": "cantaloupes", "table": "**Melon price per container**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Kind of melon | 1995 | 1996 |\n| Watermelons | $5 | $3 |\n| Honeydews | $10 | $7 |\n| Cantaloupes | $7 | $8 |" } ] }, { "id": "2404", "image": "2404.png", "conversations": [ { "from": "human", "question": "Mr. Gupta, a track coach, recorded the sizes of all the nearby track teams. How many teams have at least 50 members but fewer than 68 members?\n" }, { "from": "gpt", "solution": "Count all the leaves in the row with stem 5.\n\nIn the row with stem 6, count all the leaves less than 8.\n\nYou counted 6 leaves, which are blue in the stem-and-leaf plots above. 6 teams have at least 50 members but fewer than 68 members.", "answer": "6", "table": "**Track team sizes (number of members)**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 0, 3, 4 |\n| 4 | 7, 9 |\n| 5 | 6, 6, 7, 9 |\n| 6 | 4, 5 |\n| 7 | 4, 8, 8, 8 |" } ] }, { "id": "2405", "image": "2405.png", "conversations": [ { "from": "human", "question": "How much money does Emma need to buy a boat show ticket and 7 opera tickets?\n" }, { "from": "gpt", "solution": "Find the cost of 7 opera tickets.\n\n$69.00 × 7 = $483.00\n\nNow find the total cost.\n\n$23.00 + $483.00 = $506.00\n\nEmma needs $506.00.", "answer": "506", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| football ticket | $88.00 |\n| boat show ticket | $23.00 |\n| comedy show ticket | $26.00 |\n| opera ticket | $69.00 |" } ] }, { "id": "2410", "image": "2410.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does Math class begin?\n" }, { "from": "gpt", "solution": "Find Math class on the schedule. Find the beginning time for Math class.\n\nMath: 2:35 P. M.", "answer": "2:35 P.M.", "table": "**Class schedule**\n\n| Subject | Begin | End |\n| --- | --- | --- |\n| History | 8:30 A.M. | 9:35 A.M. |\n| English | 9:45 A.M. | 10:30 A.M. |\n| Music | 10:35 A.M. | 11:55 A.M. |\n| Art | 12:05 P.M. | 1:00 P.M. |\n| Chemistry | 1:05 P.M. | 2:25 P.M. |\n| Math | 2:35 P.M. | 3:50 P.M. |\n| Gym | 4:00 P.M. | 4:40 P.M. |" } ] }, { "id": "2418", "image": "2418.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{5 - 10}{10 - 9}\n = \\frac{-5}{1}\n = -5\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{0 - 10}{11 - 9}\n = \\frac{-10}{2}\n = -5\nThe two rates of change are the same.\n5.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 9 | 10 |\n| 10 | 5 |\n| 11 | 0 |" } ] }, { "id": "2420", "image": "2420.png", "conversations": [ { "from": "human", "question": "Darren looked over his calendar to see how many times he had soccer practice each month. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n12, 13, 16, 19, 22, 28, 12, 14\n\nFirst, find the greatest number. The greatest number is 28.\n\nNext, find the least number. The least number is 12.\n\nSubtract the least number from the greatest number:\n\n28 − 12 = 16\n\nThe range is 16.", "answer": "16", "table": "**Soccer practice**\n\n| Month | Number of practices |\n| --- | --- |\n| July | 12 |\n| August | 13 |\n| September | 16 |\n| October | 19 |\n| November | 22 |\n| March | 28 |\n| April | 12 |\n| May | 14 |" } ] }, { "id": "2423", "image": "2423.png", "conversations": [ { "from": "human", "question": "Dr. Mueller, a pediatrician, weighed all the children who recently visited her office. What is the weight of the lightest child?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 2.\n\nNow find the lowest leaf in the first row. The lowest leaf is 7.\n\nThe weight of the lightest child has a stem of 2 and a leaf of 7. Write the stem first, then the leaf: 27.\n\nThe weight of the lightest child is 27 pounds.", "answer": "27", "table": "**Children's weights (lbs)**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 7, 9 |\n| 3 | 7, 7 |\n| 4 | 4 |\n| 5 | 0, 7 |\n| 6 | 4, 5, 5, 6, 7, 7, 8 |" } ] }, { "id": "2438", "image": "2438.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does the bus depart from the shopping district?\n" }, { "from": "gpt", "solution": "Find the shopping district on the schedule. Find the departure time for the shopping district.\n\nshopping district: 5:00 P. M.", "answer": "5:00 P.M.", "table": "**Tour bus schedule**\n\n| Location | Arrive | Depart |\n| --- | --- | --- |\n| city hall | 8:55 A.M. | 9:20 A.M. |\n| the aquarium | 9:25 A.M. | 10:20 A.M. |\n| governor's mansion | 11:05 A.M. | 11:35 A.M. |\n| downtown | 12:15 P.M. | 1:10 P.M. |\n| the riverfront | 1:15 P.M. | 1:40 P.M. |\n| university campus | 1:45 P.M. | 2:05 P.M. |\n| skyscraper | 2:40 P.M. | 3:30 P.M. |\n| the zoo | 4:00 P.M. | 4:30 P.M. |\n| shopping district | 4:50 P.M. | 5:00 P.M. |\n| old building | 5:35 P.M. | 5:45 P.M. |" } ] }, { "id": "2441", "image": "2441.png", "conversations": [ { "from": "human", "question": "Camilla counted the total number of shells collected by her friends during a walk on the beach. How many people found fewer than 2 seashells?\n" }, { "from": "gpt", "solution": "Find the rows for 0 and 1 seashell. Add the frequencies for these rows.\n\nAdd:\n\n1 + 18 = 19\n\n19 people found fewer than 2 seashells.", "answer": "19", "table": "**Finding seashells**\n\n| Seashells found | Frequency |\n| --- | --- |\n| 0 | 1 |\n| 1 | 18 |\n| 2 | 9 |\n| 3 | 13 |\n| 4 | 7 |" } ] }, { "id": "2442", "image": "2442.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $1,390, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $1,390, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $940 | 13,600 | 16,700 |\n| $1,090 | 11,800 | 18,100 |\n| $1,240 | 10,000 | 19,500 |\n| $1,390 | 8,200 | 20,900 |\n| $1,540 | 6,400 | 22,300 |" } ] }, { "id": "2444", "image": "2444.png", "conversations": [ { "from": "human", "question": "Xavier tracked the attendance at the school play. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n53, 49, 58, 53, 55, 50\n\nFirst, count how many numbers are in the group.\n\nThere are 6 numbers.\n\nNow add all the numbers together:\n\n53 + 49 + 58 + 53 + 55 + 50 = 318\n\nNow divide the sum by the number of numbers:\n\n318 ÷ 6 = 53\n\nThe mean is 53.", "answer": "53", "table": "**Tickets sold**\n\n| Day | Number of tickets |\n| --- | --- |\n| Sunday | 53 |\n| Monday | 49 |\n| Tuesday | 58 |\n| Wednesday | 53 |\n| Thursday | 55 |\n| Friday | 50 |" } ] }, { "id": "2447", "image": "2447.png", "conversations": [ { "from": "human", "question": "Some students compared how many pairs of boots they own. How many students in the class own exactly 3 pairs of boots?\n" }, { "from": "gpt", "solution": "Find the row for 3 pairs of boots and read the frequency. The frequency is 5.\n\n5 students own exactly 3 pairs of boots.", "answer": "5", "table": "**Pairs of boots**\n\n| Number of pairs of boots | Frequency |\n| --- | --- |\n| 0 | 15 |\n| 1 | 17 |\n| 2 | 20 |\n| 3 | 5 |\n| 4 | 9 |" } ] }, { "id": "2457", "image": "2457.png", "conversations": [ { "from": "human", "question": "How much money does Jason need to buy an egg sandwich, a ham and cheese omelette, and fried eggs?\n" }, { "from": "gpt", "solution": "Find the total cost of an egg sandwich, a ham and cheese omelette, and fried eggs.\n\n$4 + $6 + $3 = $13\n\nJason needs $13.", "answer": "13", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| spinach omelette | $9 |\n| ham and cheese omelette | $6 |\n| fried eggs | $3 |\n| egg sandwich | $4 |\n| biscuits and gravy | $2 |" } ] }, { "id": "2468", "image": "2468.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Patrick is at the city park. If he wants to arrive at the restaurant district at 9.30 A.M., what time should he get on the train?\n" }, { "from": "gpt", "solution": "Look at the row for the restaurant district. Find the train that arrives at the restaurant district at 9:30 A. M.\n\nLook up the column until you find the row for the city park.\n\nPatrick should get on the train at 8:30 A. M.", "answer": "8:30 A.M.", "table": "**Subway train schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 | Column 5 | Column 6 |\n| --- | --- | --- | --- | --- | --- |\n| city park | 8:30 A.M. | 9:00 A.M. | 9:30 A.M. | 9:45 A.M. | 10:00 A.M. |\n| university | 9:00 A.M. | 9:30 A.M. | 10:00 A.M. | 10:15 A.M. | 10:30 A.M. |\n| restaurant district | 9:30 A.M. | 10:00 A.M. | 10:30 A.M. | 10:45 A.M. | 11:00 A.M. |\n| history museum | 10:30 A.M. | 11:00 A.M. | 11:30 A.M. | 11:45 A.M. | 12:00 P.M. |\n| baseball stadium | 10:45 A.M. | 11:15 A.M. | 11:45 A.M. | 12:00 P.M. | 12:15 P.M. |\n| downtown | 11:30 A.M. | 12:00 P.M. | 12:30 P.M. | 12:45 P.M. | 1:00 P.M. |\n| industrial district | 11:45 A.M. | 12:15 P.M. | 12:45 P.M. | 1:00 P.M. | 1:15 P.M. |\n| football stadium | 12:45 P.M. | 1:15 P.M. | 1:45 P.M. | 2:00 P.M. | 2:15 P.M. |\n| art gallery district | 1:00 P.M. | 1:30 P.M. | 2:00 P.M. | 2:15 P.M. | 2:30 P.M. |" } ] }, { "id": "2473", "image": "2473.png", "conversations": [ { "from": "human", "question": "Tisha wrote down how many glasses of water she drank during the past 5 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n10, 5, 2, 10, 12\n\nFirst, arrange the numbers from least to greatest:\n\n2, 5, 10, 10, 12\n\nNow find the number in the middle.\n\n2, 5, 10, 10, 12\n\nThe number in the middle is 10.\n\nThe median is 10.", "answer": "10", "table": "**Glasses of water**\n\n| Day | Number of glasses |\n| --- | --- |\n| Sunday | 10 |\n| Monday | 5 |\n| Tuesday | 2 |\n| Wednesday | 10 |\n| Thursday | 12 |" } ] }, { "id": "2474", "image": "2474.png", "conversations": [ { "from": "human", "question": "In hopes of raising more funds for arts education, some parents in the Fairfax School District publicized the current per-student arts education budget. According to the table, what was the rate of change between 2010 and 2011?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{$17 - $16}{2011 - 2010}\n = \\frac{$17 - $16}{1 year}\n = \\frac{$1}{1 year}\n = $1 per year\nThe rate of change between 2010 and 2011 was $1 per year.", "answer": "1", "table": "**Fairfax arts education budget**\n\n| Year | Per-student budget |\n| --- | --- |\n| 2007 | $26 |\n| 2008 | $21 |\n| 2009 | $27 |\n| 2010 | $16 |\n| 2011 | $17 |" } ] }, { "id": "2476", "image": "2476.png", "conversations": [ { "from": "human", "question": "Nancy was the lucky journalist assigned to cover the Best Beard Competition. She recorded the contestants' beard colors in her notepad. Nancy also noted if the contestants were signed up for the mustache competition later in the day. What is the probability that a randomly selected contestant has a red beard and is also in the mustache competition? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the contestant has a red beard\" and B be the event \"the contestant is also in the mustache competition\".\nTo find the probability that a contestant has a red beard and is also in the mustache competition, first identify the sample space and the event.\nThe outcomes in the sample space are the different contestants. Each contestant is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the contestant has a red beard and is also in the mustache competition\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the contestant has a red beard and is also in the mustache competition\", so look at the table to see how many contestants have a red beard and are also in the mustache competition.\nThe number of contestants who have a red beard and are also in the mustache competition is 4.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of contestants.\n6 + 2 + 4 + 6 = 18\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{4}{18}\n = \\frac{2}{9}\nThe probability that a contestant has a red beard and is also in the mustache competition is \\frac{2}{9}.", "answer": "2/9", "table": "| | Only in the beard competition | Also in the mustache competition |\n| --- | --- | --- |\n| Red beard | 6 | 4 |\n| Grey beard | 2 | 6 |" } ] }, { "id": "2486", "image": "2486.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $910, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $910, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $810 | 19,300 | 1,200 |\n| $860 | 15,100 | 5,500 |\n| $910 | 10,900 | 9,800 |\n| $960 | 6,700 | 14,100 |\n| $1,010 | 2,500 | 18,400 |" } ] }, { "id": "2488", "image": "2488.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $1,175, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $1,175, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $985 | 15,000 | 7,700 |\n| $1,175 | 14,500 | 10,700 |\n| $1,365 | 14,000 | 13,700 |\n| $1,555 | 13,500 | 16,700 |\n| $1,745 | 13,000 | 19,700 |" } ] }, { "id": "2492", "image": "2492.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{9 - 18}{16 - 15}\n = \\frac{-9}{1}\n = -9\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{0 - 9}{17 - 16}\n = \\frac{-9}{1}\n = -9\nThe two rates of change are the same.\n9.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 15 | 18 |\n| 16 | 9 |\n| 17 | 0 |" } ] }, { "id": "2499", "image": "2499.png", "conversations": [ { "from": "human", "question": "Each year, the campers at Maura's summer camp try to set that summer's record for finishing the obstacle course as quickly as possible. According to the table, what was the rate of change between 2010 and 2011?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{22 minutes - 22 minutes}{2011 - 2010}\n = \\frac{22 minutes - 22 minutes}{1 year}\n = \\frac{0 minutes}{1 year}\n = 0 minutes per year\nThe rate of change between 2010 and 2011 was 0 minutes per year.", "answer": "0", "table": "**Record obstacle course completion times**\n\n| Year | Record time (minutes) |\n| --- | --- |\n| 2007 | 22 |\n| 2008 | 21 |\n| 2009 | 26 |\n| 2010 | 22 |\n| 2011 | 22 |" } ] }, { "id": "2503", "image": "2503.png", "conversations": [ { "from": "human", "question": "An office manager counts the number of letters sent by each of his company's employees each week. How many employees mailed more than 1 letter?\n" }, { "from": "gpt", "solution": "Find the rows for 2 and 3 letters. Add the frequencies for these rows.\n\nAdd:\n\n19 + 20 = 39\n\n39 employees mailed more than 1 letter.", "answer": "39", "table": "**Mailing letters last week**\n\n| Letters mailed | Frequency |\n| --- | --- |\n| 0 | 14 |\n| 1 | 3 |\n| 2 | 19 |\n| 3 | 20 |" } ] }, { "id": "2517", "image": "2517.png", "conversations": [ { "from": "human", "question": "Each room has 5 windows. How many windows are in 6 rooms?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 30 windows in 6 rooms.", "answer": "30", "table": "| Number of rooms | Number of windows |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | 20 |\n| 5 | 25 |\n| 6 | ? |" } ] }, { "id": "2524", "image": "2524.png", "conversations": [ { "from": "human", "question": "How much money does Jackson need to buy a gray sweatshirt, a black jacket, and a pair of jeans?\n" }, { "from": "gpt", "solution": "Find the total cost of a gray sweatshirt, a black jacket, and a pair of jeans.\n\n$8.59 + $5.96 + $5.97 = $20.52\n\nJackson needs $20.52.", "answer": "20.52", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| gray sweatshirt | $8.59 |\n| pair of jeans | $5.97 |\n| pair of tennis shoes | $9.64 |\n| blue sweater | $5.68 |\n| black jacket | $5.96 |" } ] }, { "id": "2526", "image": "2526.png", "conversations": [ { "from": "human", "question": "An amusement park manager looked up the number of ride tickets sold in the past 4 days. How many tickets did the amusement park sell in total on Monday and Thursday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nMonday: 335\nThursday: 482\n\nNow add: 335 + 482 = 817.\n\nThe amusement park sold 817 tickets on Monday and Thursday.", "answer": "817", "table": "**Tickets sold**\n\n| Day | Number of tickets |\n| --- | --- |\n| Monday | 335 |\n| Tuesday | 211 |\n| Wednesday | 145 |\n| Thursday | 482 |" } ] }, { "id": "2531", "image": "2531.png", "conversations": [ { "from": "human", "question": "Ling's Candies has been studying how much chocolate people have been eating in different countries. How much chocolate was consumed per capita in Germany in 2002?\n" }, { "from": "gpt", "solution": "First, find the row for Germany. Then find the number in the 2002 column.\n\nThis number is 10. In 2002, people in Germany consumed 10 kilograms of chocolate per capita.", "answer": "10", "table": "**Chocolate consumption per capita (kg)**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 2002 | 2005 |\n| Germany | 10 | 11 |\n| Norway | 8 | 9 |\n| Denmark | 9 | 8 |" } ] }, { "id": "2546", "image": "2546.png", "conversations": [ { "from": "human", "question": "A city monitored how many cars went through a certain intersection in the past 3 days. How many cars in total went through the intersection on Sunday and Monday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nSunday: 1,321\nMonday: 4,426\n\nNow add: 1,321 + 4,426 = 5,747.\n\n5,747 cars went through the intersection on Sunday and Monday.", "answer": "5,747", "table": "**Cars at an intersection**\n\n| Day | Number of cars |\n| --- | --- |\n| Saturday | 4,108 |\n| Sunday | 1,321 |\n| Monday | 4,426 |" } ] }, { "id": "2549", "image": "2549.png", "conversations": [ { "from": "human", "question": "The advertising agency counted the number of billboards in each city in the state. How many cities have at least 22 billboards but fewer than 49 billboards?\n" }, { "from": "gpt", "solution": "Find the row with stem 2. Count all the leaves greater than or equal to 2.\n\nCount all the leaves in the row with stem 3.\n\nIn the row with stem 4, count all the leaves less than 9.\n\nYou counted 8 leaves, which are blue in the stem-and-leaf plots above. 8 cities have at least 22 billboards but fewer than 49 billboards.", "answer": "8", "table": "**Billboards per city**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 1, 1, 9 |\n| 2 | 3, 6, 6 |\n| 3 | 0, 1, 2, 6 |\n| 4 | 1, 9 |\n| 5 | 0, 2, 3, 7, 8 |" } ] }, { "id": "2552", "image": "2552.png", "conversations": [ { "from": "human", "question": "Look at Viviana's pay stub. Viviana lives in a state that has state income tax. How much payroll tax did Viviana pay in total?\n" }, { "from": "gpt", "solution": "To find the total payroll tax, add the federal income tax, state income tax, and other taxes.\nThe federal income tax is $304.90. The state income tax is $175.48. The other taxes are $204.64. Add.\n$304.90 + $175.48 + $204.64 = $685.02\nViviana paid a total of $685.02 in payroll tax.", "answer": "685.02", "table": "| Employee | Pay period | |\n| --- | --- | --- |\n| Viviana Hall | December | |\n| Total earnings | | $2,675.00 |\n| Federal income tax | $304.90 | |\n| State income tax | $175.48 | |\n| Other taxes | $204.64 | |\n| Total taxes | | ? |\n| Pay after taxes | | ? |" } ] }, { "id": "2567", "image": "2567.png", "conversations": [ { "from": "human", "question": "A stock broker followed the stock prices of a certain set of companies. Which company's stock cost more on Wednesday, Jonas Incorporated or Watson and Partners?\n" }, { "from": "gpt", "solution": "Find the Wednesday column. Compare the numbers in this column for Jonas Incorporated and Watson and Partners.\n\n$8.00 is more than $5.00. On Wednesday, Watson and Partners's stock cost more.", "answer": "Watson and Partners", "table": "**Stock prices**\n\n| Company | Wednesday | Thursday |\n| --- | --- | --- |\n| Watson and Partners | $8 | $10 |\n| Computer Data Company | $7 | $15 |\n| Jonas Incorporated | $5 | $2 |\n| Houston Sporting Goods | $20 | $13 |" } ] }, { "id": "2569", "image": "2569.png", "conversations": [ { "from": "human", "question": "Antonio's class recorded how many states each student has visited. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n5, 7, 9, 4, 6, 1, 6\n\nFirst, find the greatest number. The greatest number is 9.\n\nNext, find the least number. The least number is 1.\n\nSubtract the least number from the greatest number:\n\n9 − 1 = 8\n\nThe range is 8.", "answer": "8", "table": "**States visited**\n\n| Name | Number of states |\n| --- | --- |\n| Antonio | 5 |\n| Carter | 7 |\n| Lena | 9 |\n| Julian | 4 |\n| Martina | 6 |\n| Rosanne | 1 |\n| Pamela | 6 |" } ] }, { "id": "2573", "image": "2573.png", "conversations": [ { "from": "human", "question": "The parks department compared how many basketball hoops there are at each park. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n3, 3, 10, 10, 1, 2, 2, 3\n\nFirst, arrange the numbers from least to greatest:\n\n1, 2, 2, 3, 3, 3, 10, 10\n\nNow count how many times each number appears.\n\n1 appears 1 time.\n2 appears 2 times.\n3 appears 3 times.\n10 appears 2 times.\n\nThe number that appears most often is 3.\n\nThe mode is 3.", "answer": "3", "table": "**Basketball hoops**\n\n| Park | Number of basketball hoops |\n| --- | --- |\n| Mooreland Park | 3 |\n| Otter Park | 3 |\n| Westfield Park | 10 |\n| Crestview Park | 10 |\n| Pinehurst Park | 1 |\n| Riverfront Park | 2 |\n| Heron Park | 2 |\n| Kelly Park | 3 |" } ] }, { "id": "2574", "image": "2574.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $1,180, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $1,180, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $900 | 9,300 | 20,800 |\n| $1,040 | 7,300 | 20,900 |\n| $1,180 | 5,300 | 21,000 |\n| $1,320 | 3,300 | 21,100 |\n| $1,460 | 1,300 | 21,200 |" } ] }, { "id": "2575", "image": "2575.png", "conversations": [ { "from": "human", "question": "How much money does Eve need to buy a thick black marker, a package of pencil lead, and a bright yellow highlighter?\n" }, { "from": "gpt", "solution": "Find the total cost of a thick black marker, a package of pencil lead, and a bright yellow highlighter.\n\n$0.68 + $0.76 + $0.40 = $1.84\n\nEve needs $1.84.", "answer": "1.84", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| package of pencil lead | $0.76 |\n| bright yellow highlighter | $0.40 |\n| thick black marker | $0.68 |\n| small box of paper clips | $0.56 |" } ] }, { "id": "2596", "image": "2596.png", "conversations": [ { "from": "human", "question": "The bird-watching club recorded how many birds its members saw each month. How many more birds did the club see in April than in May?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nApril: 488\nMay: 381\n\nNow subtract: 488 - 381 = 107.\n\nThe club saw 107 more birds in April.", "answer": "107", "table": "**Number of birds seen**\n\n| Month | Number of birds |\n| --- | --- |\n| April | 488 |\n| May | 381 |\n| June | 689 |" } ] }, { "id": "2611", "image": "2611.png", "conversations": [ { "from": "human", "question": "The architecture student counted the number of bricks in each building in his neighborhood. How many buildings have at least 10 bricks but fewer than 70 bricks?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1, 2, 3, 4, 5, and 6.\n\nYou counted 19 leaves, which are blue in the stem-and-leaf plot above. 19 buildings have at least 10 bricks but fewer than 70 bricks.", "answer": "19", "table": "**Bricks per building**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1, 2, 9 |\n| 2 | 3, 5 |\n| 3 | 5, 5 |\n| 4 | 1, 3, 5, 9 |\n| 5 | 1, 2, 2, 6 |\n| 6 | 3, 3, 5, 9 |\n| 7 | |\n| 8 | 1, 3, 4 |\n| 9 | 0 |" } ] }, { "id": "2616", "image": "2616.png", "conversations": [ { "from": "human", "question": "Ann went to the store and bought 4 pounds of popcorn balls and 5 pounds of coffee cake. How much did she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the popcorn balls. Multiply:\n\n$3 × 4 = $12\n\nFind the cost of the coffee cake. Multiply:\n\n$2 × 5 = $10\n\nNow find the total cost by adding:\n\n$12 + $10 = $22\n\nShe spent $22.", "answer": "22", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| coffee cake | $2 per lb |\n| cream cheese bars | $2 per lb |\n| popcorn balls | $3 per lb |\n| puffed rice bars | $4 per lb |\n| blueberry bars | $4 per lb |" } ] }, { "id": "2617", "image": "2617.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{6 - 10}{10 - 9}\n = \\frac{-4}{1}\n = -4\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{2 - 10}{11 - 9}\n = \\frac{-8}{2}\n = -4\nThe two rates of change are the same.\n4.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 9 | 10 |\n| 10 | 6 |\n| 11 | 2 |" } ] }, { "id": "2620", "image": "2620.png", "conversations": [ { "from": "human", "question": "A food industry researcher compiled the revenues of several pizzerias. Which restaurant made the most from pepperoni pizza sales?\n" }, { "from": "gpt", "solution": "Look at the numbers in the Pepperoni pizzas column. Find the greatest number in this column.\n\nThe greatest number is $16.00, which is in the The Big Cheese row. The Big Cheese made the most from pepperoni pizza sales.", "answer": "The Big Cheese", "table": "**Pizza sales**\n\n| Restaurant | Pepperoni pizzas | Supreme pizzas |\n| --- | --- | --- |\n| The Big Cheese | $16 | $17 |\n| Taste of New York | $7 | $18 |\n| Pizzas Only | $7 | $10 |" } ] }, { "id": "2624", "image": "2624.png", "conversations": [ { "from": "human", "question": "Luca has $15,640. Does he have enough to buy a forklift and a bulldozer?\n" }, { "from": "gpt", "solution": "Add the price of a forklift and the price of a bulldozer:\n\n$9,289 + $6,476 = $15,765\n\n$15,765 is more than $15,640. Luca does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| crane | $7,834 |\n| bulldozer | $6,476 |\n| race car | $9,779 |\n| forklift | $9,289 |" } ] }, { "id": "2631", "image": "2631.png", "conversations": [ { "from": "human", "question": "Fans of the Newberg baseball team compared the number of games won by their team each year. According to the table, what was the rate of change between 2010 and 2011?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{19 games - 26 games}{2011 - 2010}\n = \\frac{19 games - 26 games}{1 year}\n = \\frac{-7 games}{1 year}\n = -7 games per year\nThe rate of change between 2010 and 2011 was - 7 games per year.", "answer": "-7", "table": "**Games won by the Newberg baseball team**\n\n| Year | Games won |\n| --- | --- |\n| 2009 | 17 |\n| 2010 | 26 |\n| 2011 | 19 |\n| 2012 | 25 |\n| 2013 | 22 |" } ] }, { "id": "2633", "image": "2633.png", "conversations": [ { "from": "human", "question": "Some friends compared the sizes of their sticker collections. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n61, 58, 60, 56, 60, 57, 58, 58\n\nFirst, find the greatest number. The greatest number is 61.\n\nNext, find the least number. The least number is 56.\n\nSubtract the least number from the greatest number:\n\n61 − 56 = 5\n\nThe range is 5.", "answer": "5", "table": "**Sticker collections**\n\n| Name | Number of stickers |\n| --- | --- |\n| Leah | 61 |\n| Darren | 58 |\n| Savannah | 60 |\n| Pete | 56 |\n| Reggie | 60 |\n| Mackenzie | 57 |\n| Kurt | 58 |\n| Toby | 58 |" } ] }, { "id": "2642", "image": "2642.png", "conversations": [ { "from": "human", "question": "Each laundry hamper has 10 dresses. How many dresses are in 3 laundry hampers?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 30 dresses in 3 laundry hampers.", "answer": "30", "table": "| Number of laundry hampers | Number of dresses |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | ? |" } ] }, { "id": "2643", "image": "2643.png", "conversations": [ { "from": "human", "question": "How much more does an airplane calendar cost than a map of Africa?\n" }, { "from": "gpt", "solution": "Subtract the price of a map of Africa from the price of an airplane calendar.\n\n$13.23 - $10.10 = $3.13\n\nAn airplane calendar costs $3.13 more than a map of Africa.", "answer": "3.13", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| encyclopedia | $10.45 |\n| airplane calendar | $13.23 |\n| map of the world | $13.10 |\n| dog calendar | $11.63 |\n| photo album | $25.28 |\n| map of Africa | $10.10 |" } ] }, { "id": "2645", "image": "2645.png", "conversations": [ { "from": "human", "question": "A toy store employee counted the number of toys in each bin in the sale section. How many bins had fewer than 54 toys?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1, 2, 3, and 4.\n\nIn the row with stem 5, count all the leaves less than 4.\n\nYou counted 6 leaves, which are blue in the stem-and-leaf plots above. 6 bins had fewer than 54 toys.", "answer": "6", "table": "**Toys per bin**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 4, 7 |\n| 2 | 0, 8 |\n| 3 | 9 |\n| 4 | 6 |\n| 5 | 6, 8 |\n| 6 | 0, 0, 6 |\n| 7 | 0, 1, 2, 4 |\n| 8 | 2, 3 |" } ] }, { "id": "2647", "image": "2647.png", "conversations": [ { "from": "human", "question": "A Technical Assistance Manager monitored his customers' wait times. What is the shortest wait time?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 5.\n\nNow find the lowest leaf in the first row. The lowest leaf is 0.\n\nThe shortest wait time has a stem of 5 and a leaf of 0. Write the stem first, then the leaf: 50.\n\nThe shortest wait time is 50 minutes.", "answer": "50", "table": "**Technical assistance wait times (minutes)**\n\n| Stem | Leaf |\n| --- | --- |\n| 5 | 0, 3, 6, 8 |\n| 6 | 1, 2, 3, 4, 9 |\n| 7 | 8, 9, 9 |\n| 8 | 0, 1, 3, 8 |\n| 9 | 0, 0, 0 |" } ] }, { "id": "2648", "image": "2648.png", "conversations": [ { "from": "human", "question": "Arianna's class recorded how many states each student has visited. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n2, 9, 6, 7, 8, 2, 4, 3\n\nFirst, find the greatest number. The greatest number is 9.\n\nNext, find the least number. The least number is 2.\n\nSubtract the least number from the greatest number:\n\n9 − 2 = 7\n\nThe range is 7.", "answer": "7", "table": "**States visited**\n\n| Name | Number of states |\n| --- | --- |\n| Arianna | 2 |\n| Jon | 9 |\n| Luther | 6 |\n| Ken | 7 |\n| Darnel | 8 |\n| Carmen | 2 |\n| Pete | 4 |\n| Tisha | 3 |" } ] }, { "id": "2652", "image": "2652.png", "conversations": [ { "from": "human", "question": "As part of a stuffed animal drive for the local children's hospital, the students at Walter Elementary School record how many stuffed animals they have collected. How many students have at least 4 stuffed animals?\n" }, { "from": "gpt", "solution": "Find the rows for 4, 5, and 6 stuffed animals. Add the frequencies for these rows.\n\nAdd:\n\n4 + 20 + 10 = 34\n\n34 students have at least 4 stuffed animals.", "answer": "34", "table": "**Stuffed animals**\n\n| Number of stuffed animals | Frequency |\n| --- | --- |\n| 0 | 6 |\n| 1 | 9 |\n| 2 | 1 |\n| 3 | 17 |\n| 4 | 4 |\n| 5 | 20 |\n| 6 | 10 |" } ] }, { "id": "2653", "image": "2653.png", "conversations": [ { "from": "human", "question": "Lanberry High School's student council recruited teachers and students to serve on each of its committees. Are there fewer teachers on the cafeteria committee or the field trip committee?\n" }, { "from": "gpt", "solution": "Find the Teachers column. Compare the numbers in this column for cafeteria and field trip.\n\n4 is less than 11. Fewer teachers are on the field trip committee.", "answer": "field trip", "table": "**Student council committees**\n\n| Committee | Teachers | Students |\n| --- | --- | --- |\n| Party | 14 | 2 |\n| Cafeteria | 11 | 19 |\n| Budget | 2 | 10 |\n| Field trip | 4 | 14 |" } ] }, { "id": "2662", "image": "2662.png", "conversations": [ { "from": "human", "question": "A county agency recorded the money donated to several charitable causes over time. How much money was raised for parks in May?\n" }, { "from": "gpt", "solution": "First, find the row for parks. Then find the number in the May column.\n\nThis number is $4.00. $4 was raised for parks in May.", "answer": "4", "table": "**Donations received**\n\n| Cause | May | June |\n| --- | --- | --- |\n| Education | $4 | $9 |\n| Medical research | $7 | $7 |\n| Parks | $4 | $17 |\n| Animals | $17 | $5 |" } ] }, { "id": "2664", "image": "2664.png", "conversations": [ { "from": "human", "question": "Ron has $14. How much money will Ron have left if he buys a bag of birdseed and a box of dog biscuits?\n" }, { "from": "gpt", "solution": "Find the total cost of a bag of birdseed and a box of dog biscuits.\n\n$5 + $5 = $10\n\nNow subtract the total cost from the starting amount.\n\n$14 - $10 = $4\n\nRon will have $4 left.", "answer": "4", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| hamster wheel | $4 |\n| bag of cat treats | $1 |\n| bag of birdseed | $5 |\n| box of dog biscuits | $5 |\n| dog bowl | $2 |" } ] }, { "id": "2665", "image": "2665.png", "conversations": [ { "from": "human", "question": "Some students compared how many blocks they live from school. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n8, 10, 10, 2, 4, 8\n\nFirst, count how many numbers are in the group.\n\nThere are 6 numbers.\n\nNow add all the numbers together:\n\n8 + 10 + 10 + 2 + 4 + 8 = 42\n\nNow divide the sum by the number of numbers:\n\n42 ÷ 6 = 7\n\nThe mean is 7.", "answer": "7", "table": "**Blocks from school**\n\n| Name | Number of blocks |\n| --- | --- |\n| Paula | 8 |\n| Candice | 10 |\n| Frank | 10 |\n| Gavin | 2 |\n| Kenny | 4 |\n| Lucas | 8 |" } ] }, { "id": "2670", "image": "2670.png", "conversations": [ { "from": "human", "question": "A grocery store chain tracked the number of trips people made to its stores last week. How many people went to the grocery store at least 2 times?\n" }, { "from": "gpt", "solution": "Find the rows for 2, 3, 4, and 5 times. Add the frequencies for these rows.\n\nAdd:\n\n10 + 18 + 12 + 16 = 56\n\n56 people went to the grocery store at least 2 times.", "answer": "56", "table": "**Trips to the grocery store last week**\n\n| Number of trips | Frequency |\n| --- | --- |\n| 1 | 14 |\n| 2 | 10 |\n| 3 | 18 |\n| 4 | 12 |\n| 5 | 16 |" } ] }, { "id": "2671", "image": "2671.png", "conversations": [ { "from": "human", "question": "A waitress kept track of how many hours she worked each day. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n5, 6, 8, 6, 6, 9, 2\n\nFirst, arrange the numbers from least to greatest:\n\n2, 5, 6, 6, 6, 8, 9\n\nNow find the number in the middle.\n\n2, 5, 6, 6, 6, 8, 9\n\nThe number in the middle is 6.\n\nThe median is 6.", "answer": "6", "table": "**Hours worked**\n\n| Day | Hours |\n| --- | --- |\n| Tuesday | 5 |\n| Wednesday | 6 |\n| Thursday | 8 |\n| Friday | 6 |\n| Saturday | 6 |\n| Sunday | 9 |\n| Monday | 2 |" } ] }, { "id": "2674", "image": "2674.png", "conversations": [ { "from": "human", "question": "Alexandra's classmates recorded how many books they read last year. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n76, 76, 72, 72, 76\n\nFirst, arrange the numbers from least to greatest:\n\n72, 72, 76, 76, 76\n\nNow count how many times each number appears.\n\n72 appears 2 times.\n76 appears 3 times.\n\nThe number that appears most often is 76.\n\nThe mode is 76.", "answer": "76", "table": "**Books read**\n\n| Name | Number of books |\n| --- | --- |\n| Alexandra | 76 |\n| Malik | 76 |\n| Percy | 72 |\n| Zach | 72 |\n| Brendan | 76 |" } ] }, { "id": "2684", "image": "2684.png", "conversations": [ { "from": "human", "question": "Erik measured the length of each scarf in the clothing store where he works. What is the length of the smallest scarf?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 6.\n\nNow find the lowest leaf in the first row. The lowest leaf is 9.\n\nThe length of the smallest scarf has a stem of 6 and a leaf of 9. Write the stem first, then the leaf: 69.\n\nThe length of the smallest scarf is 69 centimeters.", "answer": "69", "table": "**Scarf lengths (centimeters)**\n\n| Stem | Leaf |\n| --- | --- |\n| 6 | 9 |\n| 7 | 1, 2, 2, 7, 7 |\n| 8 | 0, 2, 4, 6, 7, 9, 9 |\n| 9 | 0 |" } ] }, { "id": "2686", "image": "2686.png", "conversations": [ { "from": "human", "question": "Lola wants to buy 0.7 kilograms of flower-shaped beads. How much will she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the flower-shaped beads. Multiply the price per kilogram by the number of kilograms.\n$2 × 0.7 = $1.40\nShe will spend $1.40.", "answer": "1.40", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| flower-shaped beads | $2/kilogram |\n| oval beads | $3/kilogram |\n| star-shaped beads | $2/kilogram |\n| square beads | $2/kilogram |\n| rectangular beads | $2/kilogram |\n| heart-shaped beads | $2/kilogram |\n| spherical beads | $3/kilogram |" } ] }, { "id": "2693", "image": "2693.png", "conversations": [ { "from": "human", "question": "What is the total cost for 4 pounds of breaded chicken and 3 pounds of fried chicken?\n" }, { "from": "gpt", "solution": "Find the cost of the breaded chicken. Multiply:\n\n$6 × 4 = $24\n\nFind the cost of the fried chicken. Multiply:\n\n$7 × 3 = $21\n\nNow find the total cost by adding:\n\n$24 + $21 = $45\n\nThe total cost is $45.", "answer": "45", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| fried chicken | $7/lb |\n| breaded chicken | $6/lb |\n| sauteed chicken | $3/lb |\n| baked chicken | $3/lb |" } ] }, { "id": "2701", "image": "2701.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $380, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $380, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $380 | 18,600 | 1,900 |\n| $390 | 15,000 | 6,400 |\n| $400 | 11,400 | 10,900 |\n| $410 | 7,800 | 15,400 |\n| $420 | 4,200 | 19,900 |" } ] }, { "id": "2706", "image": "2706.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $780, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $780, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $660 | 19,900 | 1,200 |\n| $780 | 16,200 | 5,700 |\n| $900 | 12,500 | 10,200 |\n| $1,020 | 8,800 | 14,700 |\n| $1,140 | 5,100 | 19,200 |" } ] }, { "id": "2709", "image": "2709.png", "conversations": [ { "from": "human", "question": "A technical support line tracked how many calls it received each day. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n88, 92, 92, 88, 92\n\nFirst, arrange the numbers from least to greatest:\n\n88, 88, 92, 92, 92\n\nNow count how many times each number appears.\n\n88 appears 2 times.\n92 appears 3 times.\n\nThe number that appears most often is 92.\n\nThe mode is 92.", "answer": "92", "table": "**Phone calls received**\n\n| Day | Number of calls |\n| --- | --- |\n| Wednesday | 88 |\n| Thursday | 92 |\n| Friday | 92 |\n| Saturday | 88 |\n| Sunday | 92 |" } ] }, { "id": "2718", "image": "2718.png", "conversations": [ { "from": "human", "question": "Karen wrote down how many spelling words she practiced each day. On which day did Karen practice the fewest spelling words?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 14.\n\nNow find the corresponding day. Saturday corresponds to 14.", "answer": "Saturday", "table": "**Spelling words practiced**\n\n| Day | Number of spelling words |\n| --- | --- |\n| Saturday | 14 |\n| Sunday | 17 |\n| Monday | 18 |\n| Tuesday | 15 |" } ] }, { "id": "2721", "image": "2721.png", "conversations": [ { "from": "human", "question": "Kurt's class recorded how many states each student has visited. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 10, 9, 6, 6\n\nFirst, arrange the numbers from least to greatest:\n\n6, 6, 6, 9, 10\n\nNow find the number in the middle.\n\n6, 6, 6, 9, 10\n\nThe number in the middle is 6.\n\nThe median is 6.", "answer": "6", "table": "**States visited**\n\n| Name | Number of states |\n| --- | --- |\n| Kurt | 6 |\n| Heather | 10 |\n| Shawna | 9 |\n| Adam | 6 |\n| Meg | 6 |" } ] }, { "id": "2727", "image": "2727.png", "conversations": [ { "from": "human", "question": "The train conductor made sure to count the number of passengers on each train. How many trains had at least 30 passengers but fewer than 80 passengers?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 3, 4, 5, 6, and 7.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 trains had at least 30 passengers but fewer than 80 passengers.", "answer": "4", "table": "**Passengers per train**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 3, 8 |\n| 3 | |\n| 4 | |\n| 5 | 8 |\n| 6 | 0, 8 |\n| 7 | 0 |\n| 8 | 6, 8 |" } ] }, { "id": "2732", "image": "2732.png", "conversations": [ { "from": "human", "question": "A museum curator counted the number of paintings in each exhibit at the art museum. How many exhibits have fewer than 57 paintings?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 3 and 4.\n\nIn the row with stem 5, count all the leaves less than 7.\n\nYou counted 17 leaves, which are blue in the stem-and-leaf plots above. 17 exhibits have fewer than 57 paintings.", "answer": "17", "table": "**Paintings per exhibit**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 0, 1, 1, 2, 2, 2, 8 |\n| 4 | 1, 3, 4, 7, 9 |\n| 5 | 0, 0, 1, 2, 4, 8, 9 |\n| 6 | 9 |" } ] }, { "id": "2735", "image": "2735.png", "conversations": [ { "from": "human", "question": "Five friends went on a road trip and kept track of how long each of them spent driving. What fraction of the driving was done by Britney? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many minutes Britney spent driving.\n\n140\n\nFind how many minutes were spent driving in total.\n\n290 + 450 + 140 + 440 + 190 = 1,510\n\nDivide 140 by1,510.\n\n\\frac{140}{1,510}\n\nReduce the fraction.\n\n\\frac{140}{1,510} → \\frac{14}{151}\n\n\\frac{14}{151} of minutes Britney spent driving.", "answer": "14/151", "table": "**Road trip driving times**\n\n| Name | Minutes spent driving |\n| --- | --- |\n| Vijay | 290 |\n| Bryant | 450 |\n| Britney | 140 |\n| Paul | 440 |\n| Myra | 190 |" } ] }, { "id": "2750", "image": "2750.png", "conversations": [ { "from": "human", "question": "How much money does Mitchell need to buy a bottle of soy sauce and a bottle of hot sauce?\n" }, { "from": "gpt", "solution": "Add the price of a bottle of soy sauce and the price of a bottle of hot sauce:\n\n$0.75 + $0.83 = $1.58\n\nMitchell needs $1.58.", "answer": "1.58", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| bottle of soy sauce | $0.75 |\n| bottle of mustard | $0.99 |\n| bottle of ketchup | $0.92 |\n| bottle of hot sauce | $0.83 |\n| bottle of vinegar | $0.61 |\n| jar of tomato sauce | $0.87 |" } ] }, { "id": "2754", "image": "2754.png", "conversations": [ { "from": "human", "question": "The owner of a plant nursery wrote down the number of roses on each bush. What is the largest number of roses?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 9.\n\nNow find the highest leaf in the last row. The highest leaf is 0.\n\nThe largest number of roses has a stem of 9 and a leaf of 0. Write the stem first, then the leaf: 90.\n\nThe largest number of roses is 90 roses.", "answer": "90", "table": "**Roses per bush**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 1 |\n| 3 | 6 |\n| 4 | 7 |\n| 5 | 7 |\n| 6 | 4, 5 |\n| 7 | 4 |\n| 8 | 2, 4 |\n| 9 | 0 |" } ] }, { "id": "2761", "image": "2761.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which class begins at 2.45 P.M.?\n" }, { "from": "gpt", "solution": "Find 2:45 P. M. on the schedule. Watercolor class begins at 2:45 P. M.", "answer": "Watercolor class", "table": "**Art teacher's schedule**\n\n| Class | Begin | End |\n| --- | --- | --- |\n| Interior Design | 7:40 A.M. | 9:10 A.M. |\n| Introduction to Art | 9:20 A.M. | 9:50 A.M. |\n| Computer Graphics | 10:05 A.M. | 11:00 A.M. |\n| Photography | 11:15 A.M. | 12:00 P.M. |\n| Pottery | 12:15 P.M. | 1:45 P.M. |\n| Charcoal Drawing | 1:50 P.M. | 2:40 P.M. |\n| Watercolor | 2:45 P.M. | 3:50 P.M. |" } ] }, { "id": "2766", "image": "2766.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Ruth just missed the 11.00 A.M. bus at the mall. How long does she have to wait until the next bus?\n" }, { "from": "gpt", "solution": "Find 11:00 A. M. in the row for the mall.\n\nLook for the next bus in that row.\n\nThe next bus is at 12:00 P. M.\n\nFind the elapsed time. The elapsed time is 1 hour.", "answer": "1 hour", "table": "**Bus schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 | Column 5 | Column 6 |\n| --- | --- | --- | --- | --- | --- |\n| the kickball field | 8:45 A.M. | 9:15 A.M. | 10:15 A.M. | 10:30 A.M. | 10:45 A.M. |\n| the library | 9:00 A.M. | 9:30 A.M. | 10:30 A.M. | 10:45 A.M. | 11:00 A.M. |\n| the school | 9:30 A.M. | 10:00 A.M. | 11:00 A.M. | 11:15 A.M. | 11:30 A.M. |\n| the mall | 10:30 A.M. | 11:00 A.M. | 12:00 P.M. | 12:15 P.M. | 12:30 P.M. |\n| the zoo | 11:30 A.M. | 12:00 P.M. | 1:00 P.M. | 1:15 P.M. | 1:30 P.M. |\n| the playground | 12:00 P.M. | 12:30 P.M. | 1:30 P.M. | 1:45 P.M. | 2:00 P.M. |\n| the doctor's office | 12:30 P.M. | 1:00 P.M. | 2:00 P.M. | 2:15 P.M. | 2:30 P.M. |\n| the post office | 12:45 P.M. | 1:15 P.M. | 2:15 P.M. | 2:30 P.M. | 2:45 P.M. |\n| the science museum | 1:00 P.M. | 1:30 P.M. | 2:30 P.M. | 2:45 P.M. | 3:00 P.M. |" } ] }, { "id": "2770", "image": "2770.png", "conversations": [ { "from": "human", "question": "The town council reported on how many stop signs there are on each street. Which street has the fewest stop signs?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 11.\n\nNow find the corresponding street. Mason Street corresponds to 11.", "answer": "Mason Street", "table": "**Stop signs**\n\n| Street | Number of stop signs |\n| --- | --- |\n| Peabody Street | 14 |\n| Walker Street | 18 |\n| Mason Street | 11 |\n| Smith Street | 13 |" } ] }, { "id": "2772", "image": "2772.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $1,005, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $1,005, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $885 | 19,000 | 10,100 |\n| $925 | 16,000 | 12,400 |\n| $965 | 13,000 | 14,700 |\n| $1,005 | 10,000 | 17,000 |\n| $1,045 | 7,000 | 19,300 |" } ] }, { "id": "2787", "image": "2787.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does Ms. Jackson's class end?\n" }, { "from": "gpt", "solution": "Find Ms. Jackson's class on the schedule. Find the end time for Ms. Jackson's class.\n\nMs. Jackson's class: 3:00 P. M.", "answer": "3:00 P.M.", "table": "**Library schedule**\n\n| Class | Begin | End |\n| --- | --- | --- |\n| Mrs. Patton's class | 8:50 A.M. | 10:00 A.M. |\n| Mr. Morgan's class | 10:15 A.M. | 11:00 A.M. |\n| Mr. Zimmerman's class | 11:10 A.M. | 12:15 P.M. |\n| Mr. Hoover's class | 12:35 P.M. | 1:15 P.M. |\n| Mrs. Espinoza's class | 1:20 P.M. | 2:00 P.M. |\n| Ms. Jackson's class | 2:20 P.M. | 3:00 P.M. |\n| Ms. Dawson's class | 3:10 P.M. | 4:10 P.M. |" } ] }, { "id": "2793", "image": "2793.png", "conversations": [ { "from": "human", "question": "Sally buys 3.5 kilograms of ricotta. How much does she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the ricotta. Multiply the price per kilogram by the number of kilograms.\n$4 × 3.5 = $14\nShe spends $14.", "answer": "14", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| ricotta | $4/kilogram |\n| Parmesan | $3/kilogram |\n| cheddar | $2/kilogram |\n| Swiss | $3/kilogram |\n| American cheese | $4/kilogram |" } ] }, { "id": "2800", "image": "2800.png", "conversations": [ { "from": "human", "question": "In hopes of raising more funds for arts education, some parents in the Riverside School District publicized the current per-student arts education budget. According to the table, what was the rate of change between 2016 and 2017?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{$42 - $42}{2017 - 2016}\n = \\frac{$42 - $42}{1 year}\n = \\frac{$0}{1 year}\n = $0 per year\nThe rate of change between 2016 and 2017 was $0 per year.", "answer": "0", "table": "**Riverside arts education budget**\n\n| Year | Per-student budget |\n| --- | --- |\n| 2014 | $46 |\n| 2015 | $36 |\n| 2016 | $42 |\n| 2017 | $42 |\n| 2018 | $29 |" } ] }, { "id": "2803", "image": "2803.png", "conversations": [ { "from": "human", "question": "At a candy factory, butterscotch candies were packaged into bags of different sizes. What is the smallest number of butterscotch candies?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 2.\n\nNow find the lowest leaf in the first row. The lowest leaf is 4.\n\nThe smallest number of butterscotch candies has a stem of 2 and a leaf of 4. Write the stem first, then the leaf: 24.\n\nThe smallest number of butterscotch candies is 24 butterscotch candies.", "answer": "24", "table": "**Butterscotch candies per bag**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 4, 5, 8 |\n| 3 | 0 |\n| 4 | 4 |\n| 5 | 2, 9 |\n| 6 | 7 |\n| 7 | 1 |\n| 8 | 1 |" } ] }, { "id": "2805", "image": "2805.png", "conversations": [ { "from": "human", "question": "At a swim meet, Maggie noted the size of various swim teams. How many teams have at least 23 swimmers but fewer than 50 swimmers?\n" }, { "from": "gpt", "solution": "Find the row with stem 2. Count all the leaves greater than or equal to 3.\n\nCount all the leaves in the rows with stems 3 and 4.\n\nYou counted 5 leaves, which are blue in the stem-and-leaf plots above. 5 teams have at least 23 swimmers but fewer than 50 swimmers.", "answer": "5", "table": "**Swimming team sizes (number of swimmers)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 2, 6, 8 |\n| 2 | 6 |\n| 3 | 1, 1, 5 |\n| 4 | 1 |\n| 5 | 0, 5 |\n| 6 | 1, 2, 8 |\n| 7 | 1, 9 |" } ] }, { "id": "2811", "image": "2811.png", "conversations": [ { "from": "human", "question": "Some teachers compared how many students are in their classes. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n18, 15, 12, 16, 19, 20, 17, 13\n\nFirst, find the greatest number. The greatest number is 20.\n\nNext, find the least number. The least number is 12.\n\nSubtract the least number from the greatest number:\n\n20 − 12 = 8\n\nThe range is 8.", "answer": "8", "table": "**Class size**\n\n| Teacher | Number of students |\n| --- | --- |\n| Miss Jones | 18 |\n| Miss Urban | 15 |\n| Mrs. King | 12 |\n| Mr. Cohen | 16 |\n| Mrs. Truman | 19 |\n| Mr. Chen | 20 |\n| Ms. Hershfeld | 17 |\n| Mrs. Novak | 13 |" } ] }, { "id": "2815", "image": "2815.png", "conversations": [ { "from": "human", "question": "A pet store owner had his staff count the number of fish in each tank. How many tanks have exactly 74 fish?\n" }, { "from": "gpt", "solution": "For the number 74, the stem is 7, and the leaf is 4. Find the row where the stem is 7. In that row, count all the leaves equal to 4.\n\nYou counted 0 leaves. 0 tanks have exactly 74 fish.", "answer": "0", "table": "**Fish per tank**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 2, 8 |\n| 2 | 3, 4, 8, 9 |\n| 3 | 1, 2, 3, 6, 9 |\n| 4 | 6, 6 |\n| 5 | 1, 2, 5 |\n| 6 | 2, 3, 8 |\n| 7 | 8 |\n| 8 | 1 |" } ] }, { "id": "2821", "image": "2821.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does the parade begin?\n" }, { "from": "gpt", "solution": "Find the parade on the schedule. Find the beginning time for the parade.\n\nparade: 5:20 P. M.", "answer": "5:20 P.M.", "table": "**Festival schedule**\n\n| Event | Begin | End |\n| --- | --- | --- |\n| banquet | 12:00 P.M. | 2:10 P.M. |\n| keynote speech | 1:35 P.M. | 2:40 P.M. |\n| band concert | 2:00 P.M. | 3:35 P.M. |\n| award ceremony | 3:05 P.M. | 4:05 P.M. |\n| choir concert | 4:05 P.M. | 5:10 P.M. |\n| parade | 5:20 P.M. | 7:05 P.M. |" } ] }, { "id": "2823", "image": "2823.png", "conversations": [ { "from": "human", "question": "Cole, a doctor's office receptionist, tracked the average waiting time at the office each month. According to the table, what was the rate of change between February and March?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{23 minutes - 23 minutes}{1 month}\n = \\frac{0 minutes}{1 month}\n = 0 minutes per month\nThe rate of change between February and March was 0 minutes per month.", "answer": "0", "table": "**Average waiting time at a doctor's office**\n\n| Month | Waiting time (minutes) |\n| --- | --- |\n| January | 27 |\n| February | 23 |\n| March | 23 |\n| April | 26 |\n| May | 21 |" } ] }, { "id": "2828", "image": "2828.png", "conversations": [ { "from": "human", "question": "How much money does Percy need to buy a beach towel and 3 quilts?\n" }, { "from": "gpt", "solution": "Find the cost of 3 quilts.\n\n$29.53 × 3 = $88.59\n\nNow find the total cost.\n\n$12.21 + $88.59 = $100.80\n\nPercy needs $100.80.", "answer": "100.80", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| beach blanket | $11.77 |\n| beach towel | $12.21 |\n| quilt | $29.53 |\n| flannel sheet | $10.95 |" } ] }, { "id": "2844", "image": "2844.png", "conversations": [ { "from": "human", "question": "An art instructor kept track of how many total pictures were painted by each of the people enrolled in her class. How many people painted fewer than 2 pictures?\n" }, { "from": "gpt", "solution": "Find the rows for 0 and 1 picture. Add the frequencies for these rows.\n\nAdd:\n\n17 + 7 = 24\n\n24 people painted fewer than 2 pictures.", "answer": "24", "table": "**Painting pictures**\n\n| Pictures painted | Frequency |\n| --- | --- |\n| 0 | 17 |\n| 1 | 7 |\n| 2 | 12 |\n| 3 | 2 |" } ] }, { "id": "2845", "image": "2845.png", "conversations": [ { "from": "human", "question": "Deion bought 4 kilograms of 66-mm washers and 3 kilograms of 50-mm washers. How much did he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the 66-mm washers. Multiply:\n\n$3 × 4 = $12\n\nFind the cost of the 50-mm washers. Multiply:\n\n$4 × 3 = $12\n\nNow find the total cost by adding:\n\n$12 + $12 = $24\n\nHe spent $24.", "answer": "24", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| 39-mm washers | $4 per kilogram |\n| 78-mm washers | $3 per kilogram |\n| 66-mm washers | $3 per kilogram |\n| 24-mm washers | $3 per kilogram |\n| 50-mm washers | $4 per kilogram |" } ] }, { "id": "2848", "image": "2848.png", "conversations": [ { "from": "human", "question": "How much more does a bottle of vegetable oil cost than a bottle of vinegar?\n" }, { "from": "gpt", "solution": "Subtract the price of a bottle of vinegar from the price of a bottle of vegetable oil.\n\n$4.08 - $1.37 = $2.71\n\nA bottle of vegetable oil costs $2.71 more than a bottle of vinegar.", "answer": "2.71", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| bottle of ketchup | $1.17 |\n| bottle of vegetable oil | $4.08 |\n| bottle of mustard | $2.44 |\n| bottle of vinegar | $1.37 |" } ] }, { "id": "2852", "image": "2852.png", "conversations": [ { "from": "human", "question": "A food magazine published a listing of local restaurant ratings. What is the highest rating?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 5.\n\nNow find the highest leaf in the last row. The highest leaf is 0.\n\nThe highest rating has a stem of 5 and a leaf of 0. Write the stem first, then the leaf: 50.\n\nThe highest rating is 50 points.", "answer": "50", "table": "**Restaurant ratings**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 0, 1, 2, 3, 5, 7, 7, 8, 9, 9 |\n| 3 | 3, 7, 8, 8 |\n| 4 | 0, 1, 1, 1, 5, 7, 8, 8 |\n| 5 | 0, 0 |" } ] }, { "id": "2853", "image": "2853.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does the train arrive at the university?\n" }, { "from": "gpt", "solution": "Find the university on the schedule. Find the arrival time for the university.\n\nuniversity: 11:55 A. M.", "answer": "11:55 A.M.", "table": "**Subway train schedule**\n\n| Location | Time |\n| --- | --- |\n| industrial district | 9:30 A.M. |\n| downtown | 10:15 A.M. |\n| baseball stadium | 10:35 A.M. |\n| city park | 10:45 A.M. |\n| art gallery district | 11:05 A.M. |\n| university | 11:55 A.M. |\n| waterfront | 12:10 P.M. |\n| civic center | 12:50 P.M. |\n| theater district | 1:40 P.M. |" } ] }, { "id": "2854", "image": "2854.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Janet got on the boat at Sea Lion Docks at 6.30 A.M. What time will she get to Palm Tree Island?\n" }, { "from": "gpt", "solution": "Find 6:30 A. M. in the row for Sea Lion Docks. That column shows the schedule for the boat that Janet is on.\n\nLook down the column until you find the row for Palm Tree Island.\n\nJanet will get to Palm Tree Island at 2:45 P. M.", "answer": "2:45 P.M.", "table": "**Tour boat schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 |\n| --- | --- | --- | --- |\n| Sea Lion Docks | 6:00 A.M. | 6:30 A.M. | 7:30 A.M. |\n| Fisherman's Cove | 7:45 A.M. | 8:15 A.M. | 9:15 A.M. |\n| Surfing Beach | 9:15 A.M. | 9:45 A.M. | 10:45 A.M. |\n| Oyster Lighthouse | 10:30 A.M. | 11:00 A.M. | 12:00 P.M. |\n| Kite Coast | 11:15 A.M. | 11:45 A.M. | 12:45 P.M. |\n| Ocean City | 1:00 P.M. | 1:30 P.M. | 2:30 P.M. |\n| Palm Tree Island | 2:15 P.M. | 2:45 P.M. | 3:45 P.M. |" } ] }, { "id": "2857", "image": "2857.png", "conversations": [ { "from": "human", "question": "Each necklace has 2 garnets. How many garnets are on 6 necklaces?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 12 garnets on 6 necklaces.", "answer": "12", "table": "| Number of necklaces | Number of garnets |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | 6 |\n| 4 | 8 |\n| 5 | 10 |\n| 6 | ? |" } ] }, { "id": "2860", "image": "2860.png", "conversations": [ { "from": "human", "question": "A dog show enthusiast recorded the weight of the winning dog at recent dog shows. According to the table, what was the rate of change between 2013 and 2014?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{42 kilograms - 40 kilograms}{2014 - 2013}\n = \\frac{42 kilograms - 40 kilograms}{1 year}\n = \\frac{2 kilograms}{1 year}\n = 2 kilograms per year\nThe rate of change between 2013 and 2014 was 2 kilograms per year.", "answer": "2", "table": "**Weight of winning dog at a dog show**\n\n| Year | Weight (kg) |\n| --- | --- |\n| 2010 | 39 |\n| 2011 | 19 |\n| 2012 | 14 |\n| 2013 | 40 |\n| 2014 | 42 |" } ] }, { "id": "2865", "image": "2865.png", "conversations": [ { "from": "human", "question": "A race car driver kept track of how many laps he drove in the past 6 days. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n10, 10, 9, 9, 9, 7\n\nFirst, count how many numbers are in the group.\n\nThere are 6 numbers.\n\nNow add all the numbers together:\n\n10 + 10 + 9 + 9 + 9 + 7 = 54\n\nNow divide the sum by the number of numbers:\n\n54 ÷ 6 = 9\n\nThe mean is 9.", "answer": "9", "table": "**Laps driven**\n\n| Day | Number of laps |\n| --- | --- |\n| Wednesday | 10 |\n| Thursday | 10 |\n| Friday | 9 |\n| Saturday | 9 |\n| Sunday | 9 |\n| Monday | 7 |" } ] }, { "id": "2866", "image": "2866.png", "conversations": [ { "from": "human", "question": "A drawing class was assigned a final project where students had to choose one art medium and one subject. The teacher kept track of the types of projects submitted. What is the probability that a randomly selected student chose to draw a plant and used acrylic paint? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the student chose to draw a plant\" and B be the event \"the student used acrylic paint\".\nTo find the probability that a student chose to draw a plant and used acrylic paint, first identify the sample space and the event.\nThe outcomes in the sample space are the different students. Each student is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the student chose to draw a plant and used acrylic paint\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the student chose to draw a plant and used acrylic paint\", so look at the table to see how many students chose to draw a plant and used acrylic paint.\nThe number of students who chose to draw a plant and used acrylic paint is 5.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of students.\n5 + 3 + 5 + 4 = 17\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{5}{17}\nThe probability that a student chose to draw a plant and used acrylic paint is \\frac{5}{17}.", "answer": "5/17", "table": "| | Acrylic paint | Chalk |\n| --- | --- | --- |\n| A plant | 5 | 5 |\n| An insect | 3 | 4 |" } ] }, { "id": "2869", "image": "2869.png", "conversations": [ { "from": "human", "question": "Emilio's campground is close to two hiking trails with scenic destinations. One trail ends at an underground lake in the bottom of a small cave. The other trail ends at a mountain peak. The elevation of each destination is shown on the campground map. Which trail's destination is farther from sea level?\n" }, { "from": "gpt", "solution": "The underground lake's elevation is negative, so it is below sea level. The mountain peak's elevation is positive, so it is above sea level.\nTo find the destination farther from sea level, use absolute value. Absolute value tells you how far each destination is from sea level.\nUnderground lake: |-350| = 350\nMountain peak: |325| = 325\nThe underground lake is 350 feet below sea level, and the mountain peak is only 325 feet above sea level. The underground lake is farther from sea level.", "answer": "underground lake", "table": "| Destination | Elevation (ft.) |\n| --- | --- |\n| Underground lake | -350 |\n| Mountain peak | 325 |" } ] }, { "id": "2871", "image": "2871.png", "conversations": [ { "from": "human", "question": "Each drawer has 5 pens. How many pens are in 3 drawers?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 15 pens in 3 drawers.", "answer": "15", "table": "| Number of drawers | Number of pens |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | ? |" } ] }, { "id": "2872", "image": "2872.png", "conversations": [ { "from": "human", "question": "How much money does Shawna need to buy 8 tickets for a Hawaiian cruise and 2 tickets for a Mediterranean cruise?\n" }, { "from": "gpt", "solution": "Find the cost of 8 tickets for a Hawaiian cruise.\n\n$1,312.00 × 8 = $10,496.00\n\nFind the cost of 2 tickets for a Mediterranean cruise.\n\n$3,541.00 × 2 = $7,082.00\n\nNow find the total cost.\n\n$10,496.00 + $7,082.00 = $17,578.00\n\nShawna needs $17,578.00.", "answer": "17,578", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| ticket for a Mediterranean cruise | $3,541.00 |\n| ticket for a Caribbean cruise | $6,376.00 |\n| ticket for a Mexican cruise | $5,404.00 |\n| ticket for an Australian cruise | $2,576.00 |\n| ticket for a Hawaiian cruise | $1,312.00 |\n| ticket for an Alaskan cruise | $3,774.00 |" } ] }, { "id": "2877", "image": "2877.png", "conversations": [ { "from": "human", "question": "Look at Kurt's pay stub. Kurt lives in a state that has state income tax. How much payroll tax did Kurt pay in total?\n" }, { "from": "gpt", "solution": "To find the total payroll tax, add the federal income tax, state income tax, and other taxes.\nThe federal income tax is $38.67. The state income tax is $21.60. The other taxes are $27.00. Add.\n$38.67 + $21.60 + $27.00 = $87.27\nKurt paid a total of $87.27 in payroll tax.", "answer": "87.27", "table": "| Employee | Pay period | |\n| --- | --- | --- |\n| Kurt Young | August 8-14 | |\n| Total earnings | | $353.00 |\n| Federal income tax | $38.67 | |\n| State income tax | $21.60 | |\n| Other taxes | $27.00 | |\n| Total taxes | | ? |\n| Pay after taxes | | ? |" } ] }, { "id": "2882", "image": "2882.png", "conversations": [ { "from": "human", "question": "What is the total cost for 3 pounds of spelt rolls and 1 pound of tortillas?\n" }, { "from": "gpt", "solution": "Find the cost of the spelt rolls. Multiply:\n\n$14 × 3 = $42\n\nFind the cost of the tortillas. Multiply:\n\n$10 × 1 = $10\n\nNow find the total cost by adding:\n\n$42 + $10 = $52\n\nThe total cost is $52.", "answer": "52", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| hot dog buns | $12 per pound |\n| wheat rolls | $8 per pound |\n| spelt rolls | $14 per pound |\n| French rolls | $18 per pound |\n| tortillas | $10 per pound |\n| English muffins | $9 per pound |" } ] }, { "id": "2884", "image": "2884.png", "conversations": [ { "from": "human", "question": "How much more does an Australian Shepherd cost than a Yorkshire Terrier?\n" }, { "from": "gpt", "solution": "Subtract the price of a Yorkshire Terrier from the price of an Australian Shepherd.\n\n$1,968.00 - $1,750.00 = $218.00\n\nAn Australian Shepherd costs $218.00 more than a Yorkshire Terrier.", "answer": "218", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| Australian Shepherd | $1,968.00 |\n| English Bulldog | $4,314.00 |\n| Yorkshire Terrier | $1,750.00 |\n| Cavalier King Charles Spaniel | $3,318.00 |\n| Golden Retriever | $2,280.00 |\n| Beagle | $1,172.00 |" } ] }, { "id": "2889", "image": "2889.png", "conversations": [ { "from": "human", "question": "Jordan, an employee at Long's Convenience Store, looked at the sales of each of its soda products. How much did the convenience store make from Kickin' Coffee sales on Sunday?\n" }, { "from": "gpt", "solution": "First, find the row for Kickin' Coffee. Then find the number in the Sunday column.\n\nThis number is $15.00. The convenience store made $15 from Kickin' Coffee sales on Sunday.", "answer": "15", "table": "**Convenience store beverage sales**\n\n| Beverage | Saturday | Sunday |\n| --- | --- | --- |\n| Kickin' Coffee | $1 | $15 |\n| Sweet Sips | $14 | $14 |\n| Olde Tyme Cola | $6 | $16 |" } ] }, { "id": "2897", "image": "2897.png", "conversations": [ { "from": "human", "question": "A journalist attended a crossword puzzle competition which attracts contestants from different countries. The competition ends when a contestant has accurately completed five different crossword puzzles. For his story, the journalist recorded the home country and final score of each contestant. What is the probability that a randomly selected contestant scored exactly 85 points and is from Argentina? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the contestant scored exactly 85 points\" and B be the event \"the contestant is from Argentina\".\nTo find the probability that a contestant scored exactly 85 points and is from Argentina, first identify the sample space and the event.\nThe outcomes in the sample space are the different contestants. Each contestant is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the contestant scored exactly 85 points and is from Argentina\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the contestant scored exactly 85 points and is from Argentina\", so look at the table to see how many contestants scored exactly 85 points and are from Argentina.\nThe number of contestants who scored exactly 85 points and are from Argentina is 4.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of contestants.\n2 + 4 + 4 + 6 = 16\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{4}{16}\n = \\frac{1}{4}\nThe probability that a contestant scored exactly 85 points and is from Argentina is \\frac{1}{4}.", "answer": "1/4", "table": "| | Argentina | Brazil |\n| --- | --- | --- |\n| 80 points | 2 | 4 |\n| 85 points | 4 | 6 |" } ] }, { "id": "2899", "image": "2899.png", "conversations": [ { "from": "human", "question": "A restaurant's average food preparation time was tracked from day to day as part of an efficiency improvement program. According to the table, what was the rate of change between Thursday and Friday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{23 minutes - 23 minutes}{1 day}\n = \\frac{0 minutes}{1 day}\n = 0 minutes per day\nThe rate of change between Thursday and Friday was 0 minutes per day.", "answer": "0", "table": "**Average food preparation time**\n\n| Day | Food preparation time (minutes) |\n| --- | --- |\n| Monday | 26 |\n| Tuesday | 17 |\n| Wednesday | 20 |\n| Thursday | 23 |\n| Friday | 23 |" } ] }, { "id": "2900", "image": "2900.png", "conversations": [ { "from": "human", "question": "Colleen bought 3 pounds of mung beans. How much did she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the mung beans. Multiply the price per pound by the number of pounds.\n\n$1.45 × 3 = $4.35\n\nShe spent $4.35.", "answer": "4.35", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| kidney beans | $1.38 per pound |\n| soybeans | $2.33 per pound |\n| lentils | $1.86 per pound |\n| garbanzo beans | $1.14 per pound |\n| mung beans | $1.45 per pound |" } ] }, { "id": "2914", "image": "2914.png", "conversations": [ { "from": "human", "question": "Zack looked at his calendar to figure out how much time he spent babysitting each month. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 7, 4, 5, 4, 5, 9\n\nFirst, arrange the numbers from least to greatest:\n\n4, 4, 5, 5, 7, 7, 9\n\nNow find the number in the middle.\n\n4, 4, 5, 5, 7, 7, 9\n\nThe number in the middle is 5.\n\nThe median is 5.", "answer": "5", "table": "**Hours of babysitting**\n\n| Month | Hours |\n| --- | --- |\n| March | 7 |\n| April | 7 |\n| May | 4 |\n| June | 5 |\n| July | 4 |\n| August | 5 |\n| September | 9 |" } ] }, { "id": "2917", "image": "2917.png", "conversations": [ { "from": "human", "question": "Each toy bin has 5 green blocks. How many green blocks are in 6 toy bins?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 30 green blocks in 6 toy bins.", "answer": "30", "table": "| Number of toy bins | Number of green blocks |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | 20 |\n| 5 | 25 |\n| 6 | ? |" } ] }, { "id": "2925", "image": "2925.png", "conversations": [ { "from": "human", "question": "A magazine editor looked at her sales figures for the past 3 months. How many more copies were sold in June than in April?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nJune: 349\nApril: 169\n\nNow subtract: 349 - 169 = 180.\n\n180 more copies were sold in June.", "answer": "180", "table": "**Magazines sold**\n\n| Month | Number of magazines |\n| --- | --- |\n| April | 169 |\n| May | 806 |\n| June | 349 |" } ] }, { "id": "2940", "image": "2940.png", "conversations": [ { "from": "human", "question": "Emmy, a candy store employee, placed peppermint candies into jars of various sizes. What is the largest number of peppermint candies?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 6.\n\nNow find the highest leaf in the last row. The highest leaf is 9.\n\nThe largest number of peppermint candies has a stem of 6 and a leaf of 9. Write the stem first, then the leaf: 69.\n\nThe largest number of peppermint candies is 69 peppermint candies.", "answer": "69", "table": "**Peppermint candies per jar**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 4, 5, 9 |\n| 2 | 0, 4, 5, 6, 6, 7, 8, 8 |\n| 3 | 3, 4 |\n| 4 | |\n| 5 | |\n| 6 | 1, 5, 8, 9 |" } ] }, { "id": "2943", "image": "2943.png", "conversations": [ { "from": "human", "question": "This morning, Mr. Zimmerman released the scores from last week's spelling test. How many students scored at least 20 points but fewer than 40 points?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 2 and 3.\n\nYou counted 7 leaves, which are blue in the stem-and-leaf plot above. 7 students scored at least 20 points but fewer than 40 points.", "answer": "7", "table": "**Spelling test scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 5, 5, 9, 9 |\n| 3 | 3, 4, 8 |\n| 4 | 1, 5, 5, 8, 9 |\n| 5 | 1, 1 |\n| 6 | 0, 3, 5, 8, 8 |" } ] }, { "id": "2945", "image": "2945.png", "conversations": [ { "from": "human", "question": "David counted the pages in each book on his English class's required reading list. How many books had at least 60 pages?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 6, 7, 8, and 9.\n\nYou counted 11 leaves, which are blue in the stem-and-leaf plot above. 11 books had at least 60 pages.", "answer": "11", "table": "**Pages per book**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 1, 1, 1, 2, 4, 4, 5, 6, 7, 8, 9, 9 |\n| 5 | 0, 2 |\n| 6 | 2, 4, 6 |\n| 7 | 2, 2, 6, 7 |\n| 8 | 5, 5, 7 |\n| 9 | 0 |" } ] }, { "id": "2950", "image": "2950.png", "conversations": [ { "from": "human", "question": "Each closet has 5 coats. How many coats are in 5 closets?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 25 coats in 5 closets.", "answer": "25", "table": "| Number of closets | Number of coats |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | 20 |\n| 5 | ? |" } ] }, { "id": "2953", "image": "2953.png", "conversations": [ { "from": "human", "question": "Rhianna counted the total number of shells collected by her friends during a walk on the beach. How many people found fewer than 3 seashells?\n" }, { "from": "gpt", "solution": "Find the rows for 0, 1, and 2 seashells. Add the frequencies for these rows.\n\nAdd:\n\n11 + 4 + 14 = 29\n\n29 people found fewer than 3 seashells.", "answer": "29", "table": "**Finding seashells**\n\n| Seashells found | Frequency |\n| --- | --- |\n| 0 | 11 |\n| 1 | 4 |\n| 2 | 14 |\n| 3 | 2 |\n| 4 | 13 |" } ] }, { "id": "2954", "image": "2954.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $395, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $395, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $395 | 20,000 | 1,200 |\n| $475 | 15,400 | 5,700 |\n| $555 | 10,800 | 10,200 |\n| $635 | 6,200 | 14,700 |\n| $715 | 1,600 | 19,200 |" } ] }, { "id": "2960", "image": "2960.png", "conversations": [ { "from": "human", "question": "How much money does Rosanne need to buy a cello and an oboe?\n" }, { "from": "gpt", "solution": "Add the price of a cello and the price of an oboe:\n\n$999.00 + $944.00 = $1,943.00\n\nRosanne needs $1,943.00.", "answer": "1,943", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| cello | $999.00 |\n| oboe | $944.00 |\n| flute | $931.00 |\n| guitar | $488.00 |\n| cornet | $797.00 |" } ] }, { "id": "2968", "image": "2968.png", "conversations": [ { "from": "human", "question": "Chase's class tracked how many newspapers each student collected for their recycling project. Who collected the fewest newspapers?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 62.\n\nNow find the corresponding name. Eva corresponds to 62.", "answer": "Eva", "table": "**Newspapers collected**\n\n| Name | Number of newspapers |\n| --- | --- |\n| Chase | 63 |\n| Johnny | 65 |\n| Stanley | 69 |\n| Eva | 62 |" } ] }, { "id": "2971", "image": "2971.png", "conversations": [ { "from": "human", "question": "A business analyst compared purchases of different types of cereal. How many more boxes of Whole Wheat Goodness were purchased than boxes of Fruit-E-Ohs?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nWhole Wheat Goodness: 6,145\nFruit-E-Ohs: 4,087\n\nNow subtract: 6,145 - 4,087 = 2,058.\n\n2,058 more boxes of Whole Wheat Goodness were purchased than boxes of Fruit-E-Ohs.", "answer": "2,058", "table": "**Boxes of cereal purchased**\n\n| Cereal | Number of boxes purchased |\n| --- | --- |\n| Toasted Treats | 8,016 |\n| Fruit-E-Ohs | 4,087 |\n| Whole Wheat Goodness | 6,145 |\n| Oaty Yums | 1,786 |" } ] }, { "id": "2974", "image": "2974.png", "conversations": [ { "from": "human", "question": "Reba's coach wrote down how many kilometers she had run over the past 6 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n3, 6, 6, 8, 10, 7\n\nFirst, find the greatest number. The greatest number is 10.\n\nNext, find the least number. The least number is 3.\n\nSubtract the least number from the greatest number:\n\n10 − 3 = 7\n\nThe range is 7.", "answer": "7", "table": "**Kilometers run**\n\n| Day | Kilometers |\n| --- | --- |\n| Tuesday | 3 |\n| Wednesday | 6 |\n| Thursday | 6 |\n| Friday | 8 |\n| Saturday | 10 |\n| Sunday | 7 |" } ] }, { "id": "2986", "image": "2986.png", "conversations": [ { "from": "human", "question": "A survey was conducted to learn people's chocolate preferences. What fraction of the respondents preferred white chocolate? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many respondents preferred white chocolate.\n\n950\n\nFind how many people responded in total.\n\n950 + 920 + 990 = 2,860\n\nDivide 950 by2,860.\n\n\\frac{950}{2,860}\n\nReduce the fraction.\n\n\\frac{950}{2,860} → \\frac{95}{286}\n\n\\frac{95}{286} of respondents preferred white chocolate.", "answer": "95/286", "table": "**Chocolate preferences**\n\n| Type | Number of respondents |\n| --- | --- |\n| White chocolate | 950 |\n| Milk chocolate | 920 |\n| Dark chocolate | 990 |" } ] }, { "id": "2988", "image": "2988.png", "conversations": [ { "from": "human", "question": "Ann, a candy store employee, placed peppermint candies into jars of various sizes. How many jars had at least 65 peppermint candies?\n" }, { "from": "gpt", "solution": "Find the row with stem 6. Count all the leaves greater than or equal to 5.\n\nCount all the leaves in the row with stem 7.\n\nYou counted 5 leaves, which are blue in the stem-and-leaf plots above. 5 jars had at least 65 peppermint candies.", "answer": "5", "table": "**Peppermint candies per jar**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 4, 9 |\n| 3 | 1 |\n| 4 | 3, 8, 9 |\n| 5 | 3, 5, 6, 6, 6 |\n| 6 | 2, 4 |\n| 7 | 0, 4, 6, 8, 8 |" } ] }, { "id": "2992", "image": "2992.png", "conversations": [ { "from": "human", "question": "Fred kept track of how long it took to finish his homework each day. According to the table, what was the rate of change between Tuesday and Wednesday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{41 minutes - 35 minutes}{1 day}\n = \\frac{6 minutes}{1 day}\n = 6 minutes per day\nThe rate of change between Tuesday and Wednesday was 6 minutes per day.", "answer": "6", "table": "**Time Fred spent on homework**\n\n| Day | Minutes |\n| --- | --- |\n| Tuesday | 35 |\n| Wednesday | 41 |\n| Thursday | 47 |\n| Friday | 50 |\n| Saturday | 46 |" } ] }, { "id": "2998", "image": "2998.png", "conversations": [ { "from": "human", "question": "A dentist was making note of her upcoming appointments with different aged patients and the reasons for their visits. What is the probability that a randomly selected appointment is with patients 19-60 years old and is for a broken tooth? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the appointment is with patients 19-60 years old\" and B be the event \"the appointment is for a broken tooth\".\nTo find the probability that a appointment is with patients 19-60 years old and is for a broken tooth, first identify the sample space and the event.\nThe outcomes in the sample space are the different appointments. Each appointment is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the appointment is with patients 19-60 years old and is for a broken tooth\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the appointment is with patients 19-60 years old and is for a broken tooth\", so look at the table to see how many appointments are with patients 19-60 years old and are for a broken tooth.\nThe number of appointments that are with patients 19-60 years old and are for a broken tooth is 2.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of appointments.\n4 + 3 + 5 + 2 = 14\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{2}{14}\n = \\frac{1}{7}\nThe probability that a appointment is with patients 19-60 years old and is for a broken tooth is \\frac{1}{7}.", "answer": "1/7", "table": "| | Regular cleaning | Broken tooth |\n| --- | --- | --- |\n| Patients under 18 years old | 4 | 5 |\n| Patients 19-60 years old | 3 | 2 |" } ] }, { "id": "3001", "image": "3001.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which event begins at 6.30 P.M.?\n" }, { "from": "gpt", "solution": "Find 6:30 P. M. on the schedule. The softball game begins at 6:30 P. M.", "answer": "softball game", "table": "**University sports schedule**\n\n| Event | Begin | End |\n| --- | --- | --- |\n| rowing regatta | 10:55 A.M. | 2:05 P.M. |\n| track meet | 1:15 P.M. | 3:35 P.M. |\n| baseball game | 2:50 P.M. | 4:00 P.M. |\n| men's tennis match | 3:35 P.M. | 6:05 P.M. |\n| gymnastics meet | 6:05 P.M. | 7:20 P.M. |\n| softball game | 6:30 P.M. | 8:20 P.M. |" } ] }, { "id": "3002", "image": "3002.png", "conversations": [ { "from": "human", "question": "Sofia looked over her calendar to see how many times she had soccer practice each month. In which month did Sofia have the most soccer practices?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 19.\n\nNow find the corresponding month. June corresponds to 19.", "answer": "June", "table": "**Soccer practice**\n\n| Month | Number of practices |\n| --- | --- |\n| May | 13 |\n| June | 19 |\n| July | 12 |\n| August | 16 |" } ] }, { "id": "3008", "image": "3008.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{8 - 1}{15 - 14}\n = \\frac{7}{1}\n = 7\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{18 - 1}{16 - 14}\n = \\frac{17}{2}\n = 8\\frac{1}{2}\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 14 | 1 |\n| 15 | 8 |\n| 16 | 18 |" } ] }, { "id": "3011", "image": "3011.png", "conversations": [ { "from": "human", "question": "Some students compared how many clubs they belong to. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n1, 1, 7, 7, 1, 7, 1, 7\n\nFirst, count how many numbers are in the group.\n\nThere are 8 numbers.\n\nNow add all the numbers together:\n\n1 + 1 + 7 + 7 + 1 + 7 + 1 + 7 = 32\n\nNow divide the sum by the number of numbers:\n\n32 ÷ 8 = 4\n\nThe mean is 4.", "answer": "4", "table": "**Clubs**\n\n| Name | Number of clubs |\n| --- | --- |\n| Rhianna | 1 |\n| Antonio | 1 |\n| Debbie | 7 |\n| Shane | 7 |\n| Grayson | 1 |\n| Pablo | 7 |\n| Francesca | 1 |\n| Neil | 7 |" } ] }, { "id": "3012", "image": "3012.png", "conversations": [ { "from": "human", "question": "Each sheet has 10 stickers. How many stickers are on 5 sheets?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 50 stickers on 5 sheets.", "answer": "50", "table": "| Number of sheets | Number of stickers |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | 40 |\n| 5 | ? |" } ] }, { "id": "3015", "image": "3015.png", "conversations": [ { "from": "human", "question": "Each bunch has 5 flowers. How many flowers are in 4 bunches?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 20 flowers in 4 bunches.", "answer": "20", "table": "| Number of bunches | Number of flowers |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | ? |" } ] }, { "id": "3018", "image": "3018.png", "conversations": [ { "from": "human", "question": "An author recorded how many words she wrote in the past 4 days. How many words in total did the author write on Tuesday and Wednesday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nTuesday: 2,936\nWednesday: 2,425\n\nNow add: 2,936 + 2,425 = 5,361.\n\nThe author wrote 5,361 words on Tuesday and Wednesday.", "answer": "5,361", "table": "**Words written**\n\n| Day | Number of words |\n| --- | --- |\n| Tuesday | 2,936 |\n| Wednesday | 2,425 |\n| Thursday | 1,875 |\n| Friday | 2,469 |" } ] }, { "id": "3021", "image": "3021.png", "conversations": [ { "from": "human", "question": "Simon kept track of how many kilometers he walked during the past 4 days. On which day did Simon walk the most?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 19.\n\nNow find the corresponding day. Monday corresponds to 19.", "answer": "Monday", "table": "**Kilometers walked**\n\n| Day | Kilometers |\n| --- | --- |\n| Friday | 13 |\n| Saturday | 17 |\n| Sunday | 16 |\n| Monday | 19 |" } ] }, { "id": "3026", "image": "3026.png", "conversations": [ { "from": "human", "question": "Mark baked cookies each day for a bake sale. On which day did Mark bake the most cookies?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 48.\n\nNow find the corresponding day. Wednesday corresponds to 48.", "answer": "Wednesday", "table": "**Cookies baked**\n\n| Day | Number of cookies |\n| --- | --- |\n| Wednesday | 48 |\n| Thursday | 46 |\n| Friday | 45 |\n| Saturday | 41 |" } ] }, { "id": "3033", "image": "3033.png", "conversations": [ { "from": "human", "question": "How much money does Tessa need to buy 7 sand castle magnets?\n" }, { "from": "gpt", "solution": "Find the total cost of 7 sand castle magnets by multiplying 7 times the price of a sand castle magnet.\n\n$0.65 × 7 = $4.55\n\nTessa needs $4.55.", "answer": "4.55", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| dolphin bookmark | $0.57 |\n| sand castle magnet | $0.65 |\n| souvenir cup | $0.57 |\n| pink flamingo pen | $0.82 |" } ] }, { "id": "3039", "image": "3039.png", "conversations": [ { "from": "human", "question": "A girl compared the ages of her cousins. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 4, 5, 4, 10, 1, 7, 9\n\nFirst, find the greatest number. The greatest number is 10.\n\nNext, find the least number. The least number is 1.\n\nSubtract the least number from the greatest number:\n\n10 − 1 = 9\n\nThe range is 9.", "answer": "9", "table": "**Ages of cousins**\n\n| Name | Age (years) |\n| --- | --- |\n| Tina | 7 |\n| Kari | 4 |\n| Estelle | 5 |\n| Florence | 4 |\n| Walter | 10 |\n| Scarlett | 1 |\n| Marie | 7 |\n| Arianna | 9 |" } ] }, { "id": "3044", "image": "3044.png", "conversations": [ { "from": "human", "question": "How much money does Tucker need to buy a small paintbrush and a roll of electrical tape?\n" }, { "from": "gpt", "solution": "Add the price of a small paintbrush and the price of a roll of electrical tape:\n\n$0.70 + $0.73 = $1.43\n\nTucker needs $1.43.", "answer": "1.43", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| roll of electrical tape | $0.73 |\n| small paintbrush | $0.70 |\n| gold tack | $0.14 |\n| light bulb | $0.59 |" } ] }, { "id": "3045", "image": "3045.png", "conversations": [ { "from": "human", "question": "Each branch has 5 snails. How many snails are on 3 branches?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 15 snails on 3 branches.", "answer": "15", "table": "| Number of branches | Number of snails |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | ? |" } ] }, { "id": "3048", "image": "3048.png", "conversations": [ { "from": "human", "question": "Tammy's school reported how many members each sports team had. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n50, 46, 40, 40, 33, 39, 43, 45\n\nFirst, count how many numbers are in the group.\n\nThere are 8 numbers.\n\nNow add all the numbers together:\n\n50 + 46 + 40 + 40 + 33 + 39 + 43 + 45 = 336\n\nNow divide the sum by the number of numbers:\n\n336 ÷ 8 = 42\n\nThe mean is 42.", "answer": "42", "table": "**Sports team membership**\n\n| Team | Number of members |\n| --- | --- |\n| softball team | 50 |\n| baseball team | 46 |\n| water polo team | 40 |\n| volleyball team | 40 |\n| wrestling team | 33 |\n| track team | 39 |\n| swimming team | 43 |\n| football team | 45 |" } ] }, { "id": "3056", "image": "3056.png", "conversations": [ { "from": "human", "question": "The Manchester Soup Company recorded the number of rotten tomatoes in each barrel it received. How many barrels had less than 76 rotten tomatoes?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 2, 3, 4, 5, and 6.\n\nIn the row with stem 7, count all the leaves less than 6.\n\nYou counted 10 leaves, which are blue in the stem-and-leaf plots above. 10 barrels had less than 76 rotten tomatoes.", "answer": "10", "table": "**Rotten tomatoes per barrel**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 7 |\n| 3 | 2 |\n| 4 | |\n| 5 | 7 |\n| 6 | 6, 6, 8, 9 |\n| 7 | 0, 2, 4, 7 |" } ] }, { "id": "3058", "image": "3058.png", "conversations": [ { "from": "human", "question": "Dr. Palmer, a pediatrician, weighed all the children who recently visited her office. How many children weighed at least 50 pounds but less than 70 pounds?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 5 and 6.\n\nYou counted 7 leaves, which are blue in the stem-and-leaf plot above. 7 children weighed at least 50 pounds but less than 70 pounds.", "answer": "7", "table": "**Children's weights (lbs)**\n\n| Stem | Leaf |\n| --- | --- |\n| 5 | 1, 2, 3, 6, 6, 9 |\n| 6 | 7 |\n| 7 | |\n| 8 | 1, 7, 8 |\n| 9 | 0, 0 |" } ] }, { "id": "3059", "image": "3059.png", "conversations": [ { "from": "human", "question": "The teachers at a middle school counted how many computers they had in their classrooms. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 9, 3, 7, 9, 3, 7\n\nFirst, arrange the numbers from least to greatest:\n\n3, 3, 7, 7, 9, 9, 9\n\nNow count how many times each number appears.\n\n3 appears 2 times.\n7 appears 2 times.\n9 appears 3 times.\n\nThe number that appears most often is 9.\n\nThe mode is 9.", "answer": "9", "table": "**Computers in classrooms**\n\n| Teacher | Number of computers |\n| --- | --- |\n| Ms. Cohen | 9 |\n| Mrs. Jansen | 9 |\n| Mr. Schmidt | 3 |\n| Ms. Rojas | 7 |\n| Mrs. Rossi | 9 |\n| Mr. Watson | 3 |\n| Mr. Morales | 7 |" } ] }, { "id": "3064", "image": "3064.png", "conversations": [ { "from": "human", "question": "Mrs. Shen told students how many rounds to expect in the spelling bee based on previous years. According to the table, what was the rate of change between 2008 and 2009?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{6 rounds - 7 rounds}{2009 - 2008}\n = \\frac{6 rounds - 7 rounds}{1 year}\n = \\frac{-1 rounds}{1 year}\n = -1 rounds per year\nThe rate of change between 2008 and 2009 was - 1 rounds per year.", "answer": "-1", "table": "**Rounds in the spelling bee**\n\n| Year | Rounds |\n| --- | --- |\n| 2008 | 7 |\n| 2009 | 6 |\n| 2010 | 10 |\n| 2011 | 7 |\n| 2012 | 8 |" } ] }, { "id": "3070", "image": "3070.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $1,175, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $1,175, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $985 | 17,900 | 9,600 |\n| $1,175 | 16,500 | 10,300 |\n| $1,365 | 15,100 | 11,000 |\n| $1,555 | 13,700 | 11,700 |\n| $1,745 | 12,300 | 12,400 |" } ] }, { "id": "3073", "image": "3073.png", "conversations": [ { "from": "human", "question": "An insurance company compiled the number of doctor visits made by some patients last year. How many patients went to the doctor fewer than 2 times?\n" }, { "from": "gpt", "solution": "Find the rows for 0 and 1 time. Add the frequencies for these rows.\n\nAdd:\n\n3 + 5 = 8\n\n8 patients went to the doctor fewer than 2 times.", "answer": "8", "table": "**Doctor visits last year**\n\n| Number of trips | Frequency |\n| --- | --- |\n| 0 | 3 |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | 11 |" } ] }, { "id": "3075", "image": "3075.png", "conversations": [ { "from": "human", "question": "A food magazine published a listing of local restaurant ratings. How many restaurants were rated fewer than 30 points?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1 and 2.\n\nYou counted 11 leaves, which are blue in the stem-and-leaf plot above. 11 restaurants were rated fewer than 30 points.", "answer": "11", "table": "**Restaurant ratings**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 2, 4, 6, 8, 9 |\n| 2 | 0, 2, 3, 6, 7, 7 |\n| 3 | 2 |\n| 4 | 5 |\n| 5 | 0 |" } ] }, { "id": "3083", "image": "3083.png", "conversations": [ { "from": "human", "question": "Reggie wrote down how many spelling words he practiced each day. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 4, 9, 7, 8\n\nFirst, arrange the numbers from least to greatest:\n\n4, 7, 7, 8, 9\n\nNow find the number in the middle.\n\n4, 7, 7, 8, 9\n\nThe number in the middle is 7.\n\nThe median is 7.", "answer": "7", "table": "**Spelling words practiced**\n\n| Day | Number of spelling words |\n| --- | --- |\n| Saturday | 7 |\n| Sunday | 4 |\n| Monday | 9 |\n| Tuesday | 7 |\n| Wednesday | 8 |" } ] }, { "id": "3086", "image": "3086.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{3 - 1}{1 - 0}\n = \\frac{2}{1}\n = 2\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{8 - 1}{2 - 0}\n = \\frac{7}{2}\n = 3\\frac{1}{2}\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 0 | 1 |\n| 1 | 3 |\n| 2 | 8 |" } ] }, { "id": "3088", "image": "3088.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $800, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $800, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $200 | 17,900 | 12,300 |\n| $400 | 14,200 | 12,800 |\n| $600 | 10,500 | 13,300 |\n| $800 | 6,800 | 13,800 |\n| $1,000 | 3,100 | 14,300 |" } ] }, { "id": "3107", "image": "3107.png", "conversations": [ { "from": "human", "question": "Each tin has 5 chocolate-chip cookies. How many chocolate-chip cookies are in 5 tins?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 25 chocolate-chip cookies in 5 tins.", "answer": "25", "table": "| Number of tins | Number of chocolate-chip cookies |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | 20 |\n| 5 | ? |" } ] }, { "id": "3111", "image": "3111.png", "conversations": [ { "from": "human", "question": "Jackson has $9,489.00. Does he have enough to buy a European vacation package and a Jamaican vacation package?\n" }, { "from": "gpt", "solution": "Add the price of a European vacation package and the price of a Jamaican vacation package:\n\n$6,510.00 + $2,625.00 = $9,135.00\n\n$9,135.00 is less than $9,489.00. Jackson does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| Hawaiian vacation package | $4,866.00 |\n| Jamaican vacation package | $2,625.00 |\n| Australian vacation package | $3,635.00 |\n| Caribbean vacation package | $1,398.00 |\n| African safari vacation package | $4,371.00 |\n| European vacation package | $6,510.00 |" } ] }, { "id": "3114", "image": "3114.png", "conversations": [ { "from": "human", "question": "Each field has 10 roosters. How many roosters are in 6 fields?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 60 roosters in 6 fields.", "answer": "60", "table": "| Number of fields | Number of roosters |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | 40 |\n| 5 | 50 |\n| 6 | ? |" } ] }, { "id": "3127", "image": "3127.png", "conversations": [ { "from": "human", "question": "Lester tracked the maximum daily wind speed for 7 days. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n50, 50, 47, 49, 49, 48, 50\n\nFirst, count how many numbers are in the group.\n\nThere are 7 numbers.\n\nNow add all the numbers together:\n\n50 + 50 + 47 + 49 + 49 + 48 + 50 = 343\n\nNow divide the sum by the number of numbers:\n\n343 ÷ 7 = 49\n\nThe mean is 49.", "answer": "49", "table": "**Daily wind speed**\n\n| Day | Wind speed (miles per hour) |\n| --- | --- |\n| Thursday | 50 |\n| Friday | 50 |\n| Saturday | 47 |\n| Sunday | 49 |\n| Monday | 49 |\n| Tuesday | 48 |\n| Wednesday | 50 |" } ] }, { "id": "3137", "image": "3137.png", "conversations": [ { "from": "human", "question": "A grocery store chain tracked the number of trips people made to its stores last week. How many people went to the grocery store fewer than 3 times?\n" }, { "from": "gpt", "solution": "Find the rows for 1 and 2 times. Add the frequencies for these rows.\n\nAdd:\n\n12 + 8 = 20\n\n20 people went to the grocery store fewer than 3 times.", "answer": "20", "table": "**Trips to the grocery store last week**\n\n| Number of trips | Frequency |\n| --- | --- |\n| 1 | 12 |\n| 2 | 8 |\n| 3 | 2 |\n| 4 | 16 |\n| 5 | 17 |\n| 6 | 0 |" } ] }, { "id": "3145", "image": "3145.png", "conversations": [ { "from": "human", "question": "How much more does an airplane calendar cost than a history book?\n" }, { "from": "gpt", "solution": "Subtract the price of a history book from the price of an airplane calendar.\n\n$12.94 - $11.28 = $1.66\n\nAn airplane calendar costs $1.66 more than a history book.", "answer": "1.66", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| cookbook | $19.53 |\n| airplane calendar | $12.94 |\n| history book | $11.28 |\n| atlas | $16.61 |" } ] }, { "id": "3151", "image": "3151.png", "conversations": [ { "from": "human", "question": "Look at this table. Is this relation a function?\n" }, { "from": "gpt", "solution": "Look at the x-values in the table.\n\nThe x-value 7 is paired with multiple y-values, so the relation is not a function.", "answer": "no", "table": "| x | y |\n| --- | --- |\n| 7 | 10 |\n| 20 | 3 |\n| 12 | 11 |\n| 7 | 6 |" } ] }, { "id": "3152", "image": "3152.png", "conversations": [ { "from": "human", "question": "A parent volunteer counted the number of boxes sold by each student participating in the cookie fundraiser. How many students sold at least 3 boxes of cookies?\n" }, { "from": "gpt", "solution": "Find the rows for 3, 4, 5, and 6 boxes of cookies. Add the frequencies for these rows.\n\nAdd:\n\n4 + 8 + 15 + 20 = 47\n\n47 students sold at least 3 boxes of cookies.", "answer": "47", "table": "**Selling cookies**\n\n| Boxes sold | Frequency |\n| --- | --- |\n| 1 | 18 |\n| 2 | 13 |\n| 3 | 4 |\n| 4 | 8 |\n| 5 | 15 |\n| 6 | 20 |" } ] }, { "id": "3153", "image": "3153.png", "conversations": [ { "from": "human", "question": "A stock broker followed the stock prices of a certain set of companies. On Thursday, which company's stock cost the most?\n" }, { "from": "gpt", "solution": "Look at the numbers in the Thursday column. Find the greatest number in this column.\n\nThe greatest number is $19.00, which is in the Thompson Corporation row. On Thursday, Thompson Corporation's stock cost the most.", "answer": "Thompson Corporation", "table": "**Stock prices**\n\n| Company | Wednesday | Thursday |\n| --- | --- | --- |\n| Computer Data Company | $8 | $5 |\n| Watson and Partners | $9 | $7 |\n| White and Company | $13 | $15 |\n| Thompson Corporation | $10 | $19 |\n| Houston Sporting Goods | $12 | $10 |" } ] }, { "id": "3155", "image": "3155.png", "conversations": [ { "from": "human", "question": "Tim has two dogs, Sprinkles and Champ. He is concerned because Sprinkles keeps eating Champ's food. Tim asks their vet how much each dog's weight has changed since their last visit. Which dog's weight has changed the most?\n" }, { "from": "gpt", "solution": "To find which dog's weight changed the most, use absolute value. Absolute value tells you how much each dog's weight has changed.\nSprinkles: |5| = 5\nChamp: |-6| = 6\nChamp's weight has changed the most. He has lost 6 ounces.", "answer": "Champ", "table": "| Dog | Weight change (oz.) |\n| --- | --- |\n| Sprinkles | 5 |\n| Champ | -6 |" } ] }, { "id": "3156", "image": "3156.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{11 - 19}{17 - 16}\n = \\frac{-8}{1}\n = -8\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{9 - 19}{18 - 16}\n = \\frac{-10}{2}\n = -5\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 16 | 19 |\n| 17 | 11 |\n| 18 | 9 |" } ] }, { "id": "3158", "image": "3158.png", "conversations": [ { "from": "human", "question": "Valeria's class recorded how many states each student has visited. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n3, 2, 8, 9, 1, 3, 1\n\nFirst, find the greatest number. The greatest number is 9.\n\nNext, find the least number. The least number is 1.\n\nSubtract the least number from the greatest number:\n\n9 − 1 = 8\n\nThe range is 8.", "answer": "8", "table": "**States visited**\n\n| Name | Number of states |\n| --- | --- |\n| Valeria | 3 |\n| Ruth | 2 |\n| Bryan | 8 |\n| Mitch | 9 |\n| Lamar | 1 |\n| Garrett | 3 |\n| Nicole | 1 |" } ] }, { "id": "3159", "image": "3159.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{13 - 14}{18 - 17}\n = \\frac{-1}{1}\n = -1\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{6 - 13}{19 - 18}\n = \\frac{-7}{1}\n = -7\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 17 | 14 |\n| 18 | 13 |\n| 19 | 6 |" } ] }, { "id": "3160", "image": "3160.png", "conversations": [ { "from": "human", "question": "How much money does Gavin need to buy a tortoise and a boa constrictor?\n" }, { "from": "gpt", "solution": "Add the price of a tortoise and the price of a boa constrictor:\n\n$395 + $285 = $680\n\nGavin needs $680.", "answer": "680", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| cockatiel | $491 |\n| boa constrictor | $285 |\n| python | $495 |\n| tortoise | $395 |\n| gecko | $374 |" } ] }, { "id": "3168", "image": "3168.png", "conversations": [ { "from": "human", "question": "Johnny has $0.08. Does he have enough to buy a brown cat's eye bead and a pink striped glass bead?\n" }, { "from": "gpt", "solution": "Add the price of a brown cat's eye bead and the price of a pink striped glass bead:\n\n$0.02 + $0.06 = $0.08\n\nSince Johnny has $0.08, he has just enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| square yellow bead | $0.03 |\n| bead with green and blue swirls | $0.02 |\n| brown cat's eye bead | $0.02 |\n| purple and red clay bead | $0.03 |\n| small pink bead | $0.04 |\n| pink striped glass bead | $0.06 |" } ] }, { "id": "3173", "image": "3173.png", "conversations": [ { "from": "human", "question": "How much money does Estelle need to buy a garnet pendant and a sapphire pendant?\n" }, { "from": "gpt", "solution": "Add the price of a garnet pendant and the price of a sapphire pendant:\n\n$3,992 + $6,246 = $10,238\n\nEstelle needs $10,238.", "answer": "10,238", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| gold necklace | $1,853 |\n| opal pendant | $4,883 |\n| sapphire pendant | $6,246 |\n| garnet pendant | $3,992 |" } ] }, { "id": "3179", "image": "3179.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{8 - 15}{13 - 12}\n = \\frac{-7}{1}\n = -7\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{1 - 15}{14 - 12}\n = \\frac{-14}{2}\n = -7\nThe two rates of change are the same.\n7.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 12 | 15 |\n| 13 | 8 |\n| 14 | 1 |" } ] }, { "id": "3184", "image": "3184.png", "conversations": [ { "from": "human", "question": "For a math assignment, students noted the number of times a wheel landed on the numbers 0 through 5. How many students spun 2?\n" }, { "from": "gpt", "solution": "Find the row for 2 and read the frequency. The frequency is 17.\n\n17 students spun 2.", "answer": "17", "table": "**Spinning a wheel numbered 0 through 5**\n\n| Number spun | Frequency |\n| --- | --- |\n| 0 | 7 |\n| 1 | 8 |\n| 2 | 17 |\n| 3 | 16 |\n| 4 | 9 |\n| 5 | 14 |" } ] }, { "id": "3186", "image": "3186.png", "conversations": [ { "from": "human", "question": "How much money does Lamar need to buy a boomerang and a red wagon?\n" }, { "from": "gpt", "solution": "Add the price of a boomerang and the price of a red wagon:\n\n$16.00 + $38.00 = $54.00\n\nLamar needs $54.00.", "answer": "54", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| teddy bear | $14.00 |\n| red wagon | $38.00 |\n| video game | $28.00 |\n| boomerang | $16.00 |\n| toy guitar | $28.00 |" } ] }, { "id": "3187", "image": "3187.png", "conversations": [ { "from": "human", "question": "Tyler paid attention to how many comic strips he read in the past 4 days. On which day did Tyler read the fewest comic strips?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 12.\n\nNow find the corresponding day. Friday corresponds to 12.", "answer": "Friday", "table": "**Comic strips read**\n\n| Day | Number of comic strips |\n| --- | --- |\n| Wednesday | 14 |\n| Thursday | 15 |\n| Friday | 12 |\n| Saturday | 13 |" } ] }, { "id": "3201", "image": "3201.png", "conversations": [ { "from": "human", "question": "Clare's Candies has been studying how much chocolate people have been eating in different countries. Which country consumed the most chocolate per capita in 2002?\n" }, { "from": "gpt", "solution": "Look at the numbers in the 2002 column. Find the greatest number in this column.\n\nThe greatest number is 11, which is in the Switzerland row. Switzerland consumed the most chocolate per capita in 2002.", "answer": "Switzerland", "table": "**Chocolate consumption per capita (kg)**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 2002 | 2005 |\n| Switzerland | 11 | 10 |\n| Australia | 4 | 5 |\n| Belgium | 8 | 11 |" } ] }, { "id": "3203", "image": "3203.png", "conversations": [ { "from": "human", "question": "How much money does Reagan need to buy a piccolo and a keyboard?\n" }, { "from": "gpt", "solution": "Add the price of a piccolo and the price of a keyboard:\n\n$408 + $983 = $1,391\n\nReagan needs $1,391.", "answer": "1,391", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| saxophone | $831 |\n| trumpet | $724 |\n| keyboard | $983 |\n| trombone | $658 |\n| violin | $382 |\n| piccolo | $408 |" } ] }, { "id": "3209", "image": "3209.png", "conversations": [ { "from": "human", "question": "Bryce has $11,001. Does he have enough to buy a canoe and a speedboat?\n" }, { "from": "gpt", "solution": "Add the price of a canoe and the price of a speedboat:\n\n$4,908 + $6,479 = $11,387\n\n$11,387 is more than $11,001. Bryce does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| canoe | $4,908 |\n| speedboat | $6,479 |\n| convertible | $3,657 |\n| tow truck | $7,398 |\n| sailboat | $9,617 |" } ] }, { "id": "3212", "image": "3212.png", "conversations": [ { "from": "human", "question": "In science class, Brenda is measuring the temperature of different chemical mixtures. The temperatures of two mixtures are shown in the table. Which mixture's temperature is closest to zero?\n" }, { "from": "gpt", "solution": "A positive number means the temperature is above zero. A negative number means the temperature is below zero.\nTo find the temperature closest to zero, use absolute value. The absolute value of a temperature tells you how far it is from zero.\nBromine mixture: |-4| = 4\nAcetone mixture: |5| = 5\nThe temperature of the bromine mixture is closest to zero. It is only 4 degrees below zero.", "answer": "bromine mixture", "table": "| Mixture | Temperature (°C) |\n| --- | --- |\n| Bromine mixture | -4 |\n| Acetone mixture | 5 |" } ] }, { "id": "3216", "image": "3216.png", "conversations": [ { "from": "human", "question": "Diego went to the store and bought 1/4 of a pound of strawberries. How much did he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the strawberries. Multiply the price per pound by the number of pounds.\n$2 × \\frac{1}{4} = $2 × 0.25 = $0.50\nHe spent $0.50.", "answer": "0.50", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| strawberries | $2 per lb |\n| blackberries | $3 per lb |\n| blueberries | $3 per lb |\n| raspberries | $3 per lb |\n| loganberries | $5 per lb |" } ] }, { "id": "3217", "image": "3217.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{3 - 6}{16 - 15}\n = \\frac{-3}{1}\n = -3\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{0 - 3}{17 - 16}\n = \\frac{-3}{1}\n = -3\nThe two rates of change are the same.\n3.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 15 | 6 |\n| 16 | 3 |\n| 17 | 0 |" } ] }, { "id": "3218", "image": "3218.png", "conversations": [ { "from": "human", "question": "A real estate agent looked into how many houses were sold in different cities. Where were the most houses sold?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 582.\n\nNow find the corresponding city. Briggs Corner corresponds to 582.", "answer": "Briggs Corner", "table": "**House sales**\n\n| City | Number of houses sold |\n| --- | --- |\n| Briggs Corner | 582 |\n| Charles Falls | 565 |\n| Pleasant Town | 558 |\n| New Hamburg | 568 |" } ] }, { "id": "3230", "image": "3230.png", "conversations": [ { "from": "human", "question": "Mrs. Lawrence hosts an annual art contest for kids, and she keeps a record of the number of entries each year. According to the table, what was the rate of change between 2020 and 2021?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{45 entries - 46 entries}{2021 - 2020}\n = \\frac{45 entries - 46 entries}{1 year}\n = \\frac{-1 entries}{1 year}\n = -1 entries per year\nThe rate of change between 2020 and 2021 was - 1 entries per year.", "answer": "-1", "table": "**Art contest entries**\n\n| Year | Number of entries |\n| --- | --- |\n| 2017 | 39 |\n| 2018 | 40 |\n| 2019 | 48 |\n| 2020 | 46 |\n| 2021 | 45 |" } ] }, { "id": "3232", "image": "3232.png", "conversations": [ { "from": "human", "question": "Some teachers compared how many years they have been teaching. Who has been teaching for the fewest years?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 11.\n\nNow find the corresponding teacher. Miss Torres corresponds to 11.", "answer": "Miss Torres", "table": "**Years of teaching**\n\n| Teacher | Number of years |\n| --- | --- |\n| Mr. Nakamura | 13 |\n| Ms. Yamamoto | 19 |\n| Mr. Boone | 12 |\n| Miss Torres | 11 |" } ] }, { "id": "3234", "image": "3234.png", "conversations": [ { "from": "human", "question": "How much money does Ruth need to buy a popcorn cart and an ice cream truck?\n" }, { "from": "gpt", "solution": "Add the price of a popcorn cart and the price of an ice cream truck:\n\n$8,065.00 + $9,863.00 = $17,928.00\n\nRuth needs $17,928.00.", "answer": "17,928", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| ice cream truck | $9,863.00 |\n| popcorn cart | $8,065.00 |\n| hot dog stand | $8,998.00 |\n| popsicle stand | $7,147.00 |" } ] }, { "id": "3240", "image": "3240.png", "conversations": [ { "from": "human", "question": "Some friends discussed the sizes of their coin collections. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 5, 9, 10, 6\n\nFirst, arrange the numbers from least to greatest:\n\n5, 6, 9, 9, 10\n\nNow find the number in the middle.\n\n5, 6, 9, 9, 10\n\nThe number in the middle is 9.\n\nThe median is 9.", "answer": "9", "table": "**Coin collections**\n\n| Name | Number of coins |\n| --- | --- |\n| Bob | 9 |\n| Herman | 5 |\n| Austin | 9 |\n| Zane | 10 |\n| Oscar | 6 |" } ] }, { "id": "3252", "image": "3252.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{12 - 4}{19 - 18}\n = \\frac{8}{1}\n = 8\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{20 - 4}{20 - 18}\n = \\frac{16}{2}\n = 8\nThe two rates of change are the same.\nIf you checked the rate of change between rows 2 and 3, you would find that it is also 8.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 18 | 4 |\n| 19 | 12 |\n| 20 | 20 |" } ] }, { "id": "3256", "image": "3256.png", "conversations": [ { "from": "human", "question": "A concession stand worker at the movie theater looked up how many bags of popcorn were sold in the past 5 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n75, 75, 76, 80, 73\n\nFirst, arrange the numbers from least to greatest:\n\n73, 75, 75, 76, 80\n\nNow find the number in the middle.\n\n73, 75, 75, 76, 80\n\nThe number in the middle is 75.\n\nThe median is 75.", "answer": "75", "table": "**Bags of popcorn sold**\n\n| Day | Number of bags of popcorn |\n| --- | --- |\n| Saturday | 75 |\n| Sunday | 75 |\n| Monday | 76 |\n| Tuesday | 80 |\n| Wednesday | 73 |" } ] }, { "id": "3258", "image": "3258.png", "conversations": [ { "from": "human", "question": "Several people compared how many Web pages they had visited. Who visited the most Web pages?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 265.\n\nNow find the corresponding person. Brendan corresponds to 265.", "answer": "Brendan", "table": "**Web pages visited**\n\n| Person | Number of Web pages |\n| --- | --- |\n| Brendan | 265 |\n| Shawn | 259 |\n| Adam | 256 |\n| Tess | 226 |" } ] }, { "id": "3263", "image": "3263.png", "conversations": [ { "from": "human", "question": "Professor Maynard released the results of yesterday's pop quiz. What is the lowest score?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 4.\n\nNow find the lowest leaf in the first row. The lowest leaf is 1.\n\nThe lowest score has a stem of 4 and a leaf of 1. Write the stem first, then the leaf: 41.\n\nThe lowest score is 41 points.", "answer": "41", "table": "**Pop quiz scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 1, 2, 5, 5, 5, 7, 8 |\n| 5 | 3, 9 |\n| 6 | 0, 0, 4 |\n| 7 | 2, 3, 3, 8 |\n| 8 | 0, 0, 1, 1, 2, 8, 8, 8, 9 |" } ] }, { "id": "3265", "image": "3265.png", "conversations": [ { "from": "human", "question": "How much money does Abby need to buy 2 bottles of ketchup?\n" }, { "from": "gpt", "solution": "Find the total cost of 2 bottles of ketchup by multiplying 2 times the price of a bottle of ketchup.\n\n$0.77 × 2 = $1.54\n\nAbby needs $1.54.", "answer": "1.54", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| bottle of hot sauce | $0.82 |\n| bottle of soy sauce | $0.83 |\n| bottle of ketchup | $0.77 |\n| jar of salsa | $0.81 |" } ] }, { "id": "3274", "image": "3274.png", "conversations": [ { "from": "human", "question": "Zach kept a log of how many pages he read each month. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n80, 84, 94, 74, 77, 76, 68\n\nFirst, count how many numbers are in the group.\n\nThere are 7 numbers.\n\nNow add all the numbers together:\n\n80 + 84 + 94 + 74 + 77 + 76 + 68 = 553\n\nNow divide the sum by the number of numbers:\n\n553 ÷ 7 = 79\n\nThe mean is 79.", "answer": "79", "table": "**Pages read**\n\n| Month | Number of pages |\n| --- | --- |\n| July | 80 |\n| August | 84 |\n| September | 94 |\n| October | 74 |\n| November | 77 |\n| December | 76 |\n| January | 68 |" } ] }, { "id": "3281", "image": "3281.png", "conversations": [ { "from": "human", "question": "Dakota has $3.66. Does she have enough to buy a box of crackers and a carton of ice cream?\n" }, { "from": "gpt", "solution": "Add the price of a box of crackers and the price of a carton of ice cream:\n\n$1.43 + $2.18 = $3.61\n\n$3.61 is less than $3.66. Dakota does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| box of gingersnaps | $4.02 |\n| package of chocolate cookies | $1.53 |\n| bag of rice | $2.04 |\n| box of crackers | $1.43 |\n| box of cereal | $4.60 |\n| carton of ice cream | $2.18 |" } ] }, { "id": "3284", "image": "3284.png", "conversations": [ { "from": "human", "question": "While hanging Christmas lights for neighbors, Shawna counted the number of broken lights on each string. What is the largest number of broken lights?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 8.\n\nNow find the highest leaf in the last row. The highest leaf is 5.\n\nThe largest number of broken lights has a stem of 8 and a leaf of 5. Write the stem first, then the leaf: 85.\n\nThe largest number of broken lights is 85 broken lights.", "answer": "85", "table": "**Broken lights per string**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 5 |\n| 2 | 8, 9 |\n| 3 | 7, 9 |\n| 4 | 2, 7 |\n| 5 | 0, 2 |\n| 6 | 3, 7, 7, 9 |\n| 7 | 2 |\n| 8 | 5 |" } ] }, { "id": "3287", "image": "3287.png", "conversations": [ { "from": "human", "question": "How much money does Danny need to buy 6 gummy worms?\n" }, { "from": "gpt", "solution": "Find the total cost of 6 gummy worms by multiplying 6 times the price of a gummy worm.\n\n$0.18 × 6 = $1.08\n\nDanny needs $1.08.", "answer": "1.08", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| lemon drop | $0.19 |\n| gummy bear | $0.11 |\n| chocolate-covered cherry | $0.17 |\n| gummy worm | $0.18 |" } ] }, { "id": "3300", "image": "3300.png", "conversations": [ { "from": "human", "question": "An employee at the craft store counted the number of red buttons in each bag of mixed buttons. How many bags had exactly 28 red buttons?\n" }, { "from": "gpt", "solution": "For the number 28, the stem is 2, and the leaf is 8. Find the row where the stem is 2. In that row, count all the leaves equal to 8.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 bags had exactly28 red buttons.", "answer": "4", "table": "**Red buttons per bag**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 3, 5, 5 |\n| 2 | 0, 8, 8, 8, 8 |\n| 3 | 2, 4, 8 |\n| 4 | 1, 2, 8 |\n| 5 | 3, 4, 7 |\n| 6 | 5 |\n| 7 | 1, 1, 7 |\n| 8 | 7 |\n| 9 | 0 |" } ] }, { "id": "3322", "image": "3322.png", "conversations": [ { "from": "human", "question": "Wanda has $1.00. Does she have enough to buy a roll of packaging tape and a large yellow envelope?\n" }, { "from": "gpt", "solution": "Add the price of a roll of packaging tape and the price of a large yellow envelope:\n\n$0.59 + $0.46 = $1.05\n\n$1.05 is more than $1.00. Wanda does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| large yellow envelope | $0.46 |\n| roll of packaging tape | $0.59 |\n| robot stamp | $0.13 |\n| butterfly stamp | $0.17 |\n| mountain postcard | $0.47 |" } ] }, { "id": "3337", "image": "3337.png", "conversations": [ { "from": "human", "question": "Some friends compared the sizes of their stuffed animal collections. Who has the most stuffed animals?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 69.\n\nNow find the corresponding name. Jordan corresponds to 69.", "answer": "Jordan", "table": "**Stuffed animal collections**\n\n| Name | Number of stuffed animals |\n| --- | --- |\n| Hakim | 61 |\n| Jordan | 69 |\n| Audrey | 63 |\n| Lauren | 62 |" } ] }, { "id": "3340", "image": "3340.png", "conversations": [ { "from": "human", "question": "The Yardley Chamber of Commerce compared the local dealerships' vehicle sales. What fraction of the vehicles were sold by RV City? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many vehicles were sold by RV City.\n\n980\n\nFind how many vehicles were sold in total.\n\n270 + 730 + 530 + 980 + 20 + 20 = 2,550\n\nDivide 980 by2,550.\n\n\\frac{980}{2,550}\n\nReduce the fraction.\n\n\\frac{980}{2,550} → \\frac{98}{255}\n\n\\frac{98}{255} of vehicles were sold by RV City.", "answer": "98/255", "table": "**Vehicle sales**\n\n| Dealership | Number of vehicles |\n| --- | --- |\n| Ledbetter Auto Mall | 270 |\n| Tri-City Cars | 730 |\n| Truck Town | 530 |\n| RV City | 980 |\n| Thompson Auto Warehouse | 20 |\n| Other | 20 |" } ] }, { "id": "3341", "image": "3341.png", "conversations": [ { "from": "human", "question": "Herman, who rents properties for a living, measures all the offices in a building he is renting. How many offices are exactly 4 square meters?\n" }, { "from": "gpt", "solution": "For the number 4, the stem is 0, and the leaf is 4. Find the row where the stem is 0. In that row, count all the leaves equal to 4.\n\nYou counted 0 leaves. 0 offices are exactly 4 square meters.", "answer": "0", "table": "**Office sizes (square meters)**\n\n| Stem | Leaf |\n| --- | --- |\n| 0 | 9 |\n| 1 | 1, 2 |\n| 2 | 4, 6, 8 |\n| 3 | 3, 6, 7 |\n| 4 | 4, 8, 8 |\n| 5 | 2, 3, 7, 8 |\n| 6 | 0, 5 |\n| 7 | 1, 1, 6 |\n| 8 | 8, 8 |\n| 9 | 0 |" } ] }, { "id": "3346", "image": "3346.png", "conversations": [ { "from": "human", "question": "Brett has $110.00. Does he have enough to buy a crystal sculpture and a rug?\n" }, { "from": "gpt", "solution": "Add the price of a crystal sculpture and the price of a rug:\n\n$84.29 + $30.93 = $115.22\n\n$115.22 is more than $110.00. Brett does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| rug | $30.93 |\n| crystal vase | $82.99 |\n| silver coat rack | $53.99 |\n| chandelier | $84.09 |\n| crystal sculpture | $84.29 |" } ] }, { "id": "3349", "image": "3349.png", "conversations": [ { "from": "human", "question": "Look at this table. Is this relation a function?\n" }, { "from": "gpt", "solution": "Look at the x-values in the table.\n\nThe x-value 10 is paired with multiple y-values, so the relation is not a function.", "answer": "no", "table": "| x | y |\n| --- | --- |\n| 10 | 10 |\n| 3 | 3 |\n| 10 | 16 |\n| 8 | 2 |" } ] }, { "id": "3352", "image": "3352.png", "conversations": [ { "from": "human", "question": "Marshall has $109. Does he have enough to buy a video game and a trampoline?\n" }, { "from": "gpt", "solution": "Add the price of a video game and the price of a trampoline:\n\n$44 + $62 = $106\n\n$106 is less than $109. Marshall does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| teddy bear | $20 |\n| trampoline | $62 |\n| boomerang | $10 |\n| video game | $44 |\n| trivia game | $40 |" } ] }, { "id": "3365", "image": "3365.png", "conversations": [ { "from": "human", "question": "Isaac's classmates revealed how many science articles they read. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 6, 9, 7, 10, 9\n\nFirst, count how many numbers are in the group.\n\nThere are 6 numbers.\n\nNow add all the numbers together:\n\n7 + 6 + 9 + 7 + 10 + 9 = 48\n\nNow divide the sum by the number of numbers:\n\n48 ÷ 6 = 8\n\nThe mean is 8.", "answer": "8", "table": "**Science articles read**\n\n| Name | Number of science articles |\n| --- | --- |\n| Isaac | 7 |\n| Hector | 6 |\n| Edna | 9 |\n| Braden | 7 |\n| Ross | 10 |\n| Joel | 9 |" } ] }, { "id": "3369", "image": "3369.png", "conversations": [ { "from": "human", "question": "The county released data about how many schools there are in each town. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 2, 10, 1, 8, 1, 8, 3\n\nFirst, count how many numbers are in the group.\n\nThere are 8 numbers.\n\nNow add all the numbers together:\n\n7 + 2 + 10 + 1 + 8 + 1 + 8 + 3 = 40\n\nNow divide the sum by the number of numbers:\n\n40 ÷ 8 = 5\n\nThe mean is 5.", "answer": "5", "table": "**Schools in each town**\n\n| Town | Number of schools |\n| --- | --- |\n| Chesterton | 7 |\n| Salem | 2 |\n| Greenwood | 10 |\n| Columbia | 1 |\n| Springfield | 8 |\n| Richmond | 1 |\n| Watertown | 8 |\n| Marion | 3 |" } ] }, { "id": "3372", "image": "3372.png", "conversations": [ { "from": "human", "question": "A balloon artist counted the number of balloon animal requests she received at a party. The balloon requests differed in animal type and color. What is the probability that a randomly selected balloon animal is shaped like a dog and is green? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the balloon animal is shaped like a dog\" and B be the event \"the balloon animal is green\".\nTo find the probability that a balloon animal is shaped like a dog and is green, first identify the sample space and the event.\nThe outcomes in the sample space are the different balloon animals. Each balloon animal is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the balloon animal is shaped like a dog and is green\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the balloon animal is shaped like a dog and is green\", so look at the table to see how many balloon animals are shaped like a dog and are green.\nThe number of balloon animals that are shaped like a dog and are green is 3.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of balloon animals.\n2 + 2 + 4 + 3 = 11\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{3}{11}\nThe probability that a balloon animal is shaped like a dog and is green is \\frac{3}{11}.", "answer": "3/11", "table": "| | Purple | Green |\n| --- | --- | --- |\n| Giraffe | 2 | 4 |\n| Dog | 2 | 3 |" } ] }, { "id": "3382", "image": "3382.png", "conversations": [ { "from": "human", "question": "Each pile has 2 bricks. How many bricks are in 5 piles?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 10 bricks in 5 piles.", "answer": "10", "table": "| Number of piles | Number of bricks |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | 6 |\n| 4 | 8 |\n| 5 | ? |" } ] }, { "id": "3388", "image": "3388.png", "conversations": [ { "from": "human", "question": "How much money does Shane need to buy a soccer jersey and a bicycle?\n" }, { "from": "gpt", "solution": "Add the price of a soccer jersey and the price of a bicycle:\n\n$22.04 + $64.75 = $86.79\n\nShane needs $86.79.", "answer": "86.79", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| scooter | $42.39 |\n| soccer jersey | $22.04 |\n| skateboard | $77.46 |\n| bicycle | $64.75 |" } ] }, { "id": "3399", "image": "3399.png", "conversations": [ { "from": "human", "question": "William's campground is close to two hiking trails with scenic destinations. One trail ends at an underground lake in the bottom of a small cave. The other trail ends at a mountain peak. The elevation of each destination is shown on the campground map. Which trail's destination is farther from sea level?\n" }, { "from": "gpt", "solution": "The underground lake's elevation is negative, so it is below sea level. The mountain peak's elevation is positive, so it is above sea level.\nTo find the destination farther from sea level, use absolute value. Absolute value tells you how far each destination is from sea level.\nUnderground lake: |-350| = 350\nMountain peak: |325| = 325\nThe underground lake is 350 feet below sea level, and the mountain peak is only 325 feet above sea level. The underground lake is farther from sea level.", "answer": "underground lake", "table": "| Destination | Elevation (ft.) |\n| --- | --- |\n| Underground lake | -350 |\n| Mountain peak | 325 |" } ] }, { "id": "3407", "image": "3407.png", "conversations": [ { "from": "human", "question": "How much money does Jason need to buy a case of beakers and a box of thermometers?\n" }, { "from": "gpt", "solution": "Add the price of a case of beakers and the price of a box of thermometers:\n\n$313 + $325 = $638\n\nJason needs $638.", "answer": "638", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| precision balance | $776 |\n| case of beakers | $313 |\n| box of thermometers | $325 |\n| pipette | $187 |" } ] }, { "id": "3415", "image": "3415.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. At which stop does the train arrive at 12.55 P.M.?\n" }, { "from": "gpt", "solution": "Find 12:55 P. M. on the schedule. The train arrives at the art museum at 12:55 P. M.", "answer": "art museum", "table": "**Light rail train schedule**\n\n| Location | Time |\n| --- | --- |\n| town square | 10:50 A.M. |\n| university | 11:05 A.M. |\n| city hall | 11:15 A.M. |\n| riverfront | 11:35 A.M. |\n| park | 12:00 P.M. |\n| baseball stadium | 12:15 P.M. |\n| shopping mall | 12:35 P.M. |\n| art museum | 12:55 P.M. |\n| science museum | 1:25 P.M. |" } ] }, { "id": "3417", "image": "3417.png", "conversations": [ { "from": "human", "question": "A nutritionist designing a healthy lunch menu asked students at Silvergrove Elementary School to vote for their favorite fruits. How many more boys voted for oranges than bananas?\n" }, { "from": "gpt", "solution": "Find the Boys column. Find the numbers in this column for oranges and bananas.\n\noranges: 8\nbananas: 1\n\nNow subtract:\n\n8 − 1 = 7\n\n7 more boys voted for oranges than bananas.", "answer": "7", "table": "**Favorite fruits**\n\n| Fruit | Boys | Girls |\n| --- | --- | --- |\n| Plums | 13 | 14 |\n| Oranges | 8 | 6 |\n| Bananas | 1 | 12 |" } ] }, { "id": "3418", "image": "3418.png", "conversations": [ { "from": "human", "question": "The financial aid office at Murphy University produced an internal report on the number of students receiving scholarships. According to the table, what was the rate of change between 2018 and 2019?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{22 students - 36 students}{2019 - 2018}\n = \\frac{22 students - 36 students}{1 year}\n = \\frac{-14 students}{1 year}\n = -14 students per year\nThe rate of change between 2018 and 2019 was - 14 students per year.", "answer": "-14", "table": "**Students receiving scholarships**\n\n| Year | Students |\n| --- | --- |\n| 2015 | 27 |\n| 2016 | 31 |\n| 2017 | 31 |\n| 2018 | 36 |\n| 2019 | 22 |" } ] }, { "id": "3422", "image": "3422.png", "conversations": [ { "from": "human", "question": "A stock broker followed the stock prices of a certain set of companies. On Wednesday, which company's stock cost the least?\n" }, { "from": "gpt", "solution": "Look at the numbers in the Wednesday column. Find the least number in this column.\n\nThe least number is $2.00, which is in the Houston Sporting Goods row. On Wednesday, Houston Sporting Goods's stock cost the least.", "answer": "Houston Sporting Goods", "table": "**Stock prices**\n\n| Company | Wednesday | Thursday |\n| --- | --- | --- |\n| Thompson Corporation | $4 | $20 |\n| Computer Data Company | $8 | $5 |\n| Watson and Partners | $12 | $11 |\n| Houston Sporting Goods | $2 | $19 |" } ] }, { "id": "3423", "image": "3423.png", "conversations": [ { "from": "human", "question": "A hot dog stand kept track of the number of hot dogs sold each day. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n12, 12, 11, 13, 10, 10, 10\n\nFirst, find the greatest number. The greatest number is 13.\n\nNext, find the least number. The least number is 10.\n\nSubtract the least number from the greatest number:\n\n13 − 10 = 3\n\nThe range is 3.", "answer": "3", "table": "**Hot dogs sold**\n\n| Day | Number of hot dogs |\n| --- | --- |\n| Saturday | 12 |\n| Sunday | 12 |\n| Monday | 11 |\n| Tuesday | 13 |\n| Wednesday | 10 |\n| Thursday | 10 |\n| Friday | 10 |" } ] }, { "id": "3427", "image": "3427.png", "conversations": [ { "from": "human", "question": "A coffee shop monitored the number of cups of coffee sold each day. On which day did the shop sell the fewest cups?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 20.\n\nNow find the corresponding day. Friday corresponds to 20.", "answer": "Friday", "table": "**Cups of coffee sold**\n\n| Day | Number of cups |\n| --- | --- |\n| Thursday | 26 |\n| Friday | 20 |\n| Saturday | 21 |\n| Sunday | 27 |" } ] }, { "id": "3433", "image": "3433.png", "conversations": [ { "from": "human", "question": "A game show viewer monitors how often a wheel numbered 1 through 5 stops at each number. How many people spun a number greater than 3?\n" }, { "from": "gpt", "solution": "Find the rows for 4 and 5. Add the frequencies for these rows.\n\nAdd:\n\n17 + 5 = 22\n\n22 people spun a number greater than 3.", "answer": "22", "table": "**Spinning a wheel numbered 1 through 5**\n\n| Number spun | Frequency |\n| --- | --- |\n| 1 | 8 |\n| 2 | 15 |\n| 3 | 7 |\n| 4 | 17 |\n| 5 | 5 |" } ] }, { "id": "3436", "image": "3436.png", "conversations": [ { "from": "human", "question": "Some friends played miniature golf and wrote down their scores. Who had the lowest score?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 41.\n\nNow find the corresponding name. Adam corresponds to 41.", "answer": "Adam", "table": "**Miniature golf scores**\n\n| Name | Score |\n| --- | --- |\n| Adam | 41 |\n| Mary | 42 |\n| Dwayne | 43 |\n| Jackson | 49 |" } ] }, { "id": "3443", "image": "3443.png", "conversations": [ { "from": "human", "question": "A school interested in expanding its playground counted the number of times that students went down the slide during recess. How many students went down the slide fewer than 3 times?\n" }, { "from": "gpt", "solution": "Find the rows for 0, 1, and 2 times. Add the frequencies for these rows.\n\nAdd:\n\n0 + 11 + 6 = 17\n\n17 students went down the slide fewer than 3 times.", "answer": "17", "table": "**Going down the slide at recess**\n\n| Number of times | Frequency |\n| --- | --- |\n| 0 | 0 |\n| 1 | 11 |\n| 2 | 6 |\n| 3 | 19 |\n| 4 | 3 |\n| 5 | 20 |\n| 6 | 2 |" } ] }, { "id": "3448", "image": "3448.png", "conversations": [ { "from": "human", "question": "A math textbook explains probability by showing a set of cards numbered 4 through 9 and showing the number of people who might draw each card. How many people are there in all?\n" }, { "from": "gpt", "solution": "Add the frequencies for each row.\n\nAdd:\n\n2 + 14 + 4 + 17 + 13 + 7 = 57\n\nThere are 57 people in all.", "answer": "57", "table": "**Drawing a card between 4 and 9**\n\n| Number drawn | Frequency |\n| --- | --- |\n| 4 | 2 |\n| 5 | 14 |\n| 6 | 4 |\n| 7 | 17 |\n| 8 | 13 |\n| 9 | 7 |" } ] }, { "id": "3471", "image": "3471.png", "conversations": [ { "from": "human", "question": "A hot dog stand kept track of the number of hot dogs sold each day. On which day did the stand sell the fewest hot dogs?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 41.\n\nNow find the corresponding day. Sunday corresponds to 41.", "answer": "Sunday", "table": "**Hot dogs sold**\n\n| Day | Number of hot dogs |\n| --- | --- |\n| Saturday | 47 |\n| Sunday | 41 |\n| Monday | 45 |\n| Tuesday | 43 |" } ] }, { "id": "3487", "image": "3487.png", "conversations": [ { "from": "human", "question": "A baseball player paid attention to how many baseballs he hit in practice each day. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n3, 3, 3, 5, 5, 4, 4\n\nFirst, arrange the numbers from least to greatest:\n\n3, 3, 3, 4, 4, 5, 5\n\nNow count how many times each number appears.\n\n3 appears 3 times.\n4 appears 2 times.\n5 appears 2 times.\n\nThe number that appears most often is 3.\n\nThe mode is 3.", "answer": "3", "table": "**Baseballs hit**\n\n| Day | Number of baseballs |\n| --- | --- |\n| Sunday | 3 |\n| Monday | 3 |\n| Tuesday | 3 |\n| Wednesday | 5 |\n| Thursday | 5 |\n| Friday | 4 |\n| Saturday | 4 |" } ] }, { "id": "3488", "image": "3488.png", "conversations": [ { "from": "human", "question": "The manager of a party supply store researched how many balloons it sold in the past 7 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n36, 30, 32, 39, 37, 45, 16\n\nFirst, find the greatest number. The greatest number is 45.\n\nNext, find the least number. The least number is 16.\n\nSubtract the least number from the greatest number:\n\n45 − 16 = 29\n\nThe range is 29.", "answer": "29", "table": "**Balloons sold**\n\n| Day | Number of balloons |\n| --- | --- |\n| Friday | 36 |\n| Saturday | 30 |\n| Sunday | 32 |\n| Monday | 39 |\n| Tuesday | 37 |\n| Wednesday | 45 |\n| Thursday | 16 |" } ] }, { "id": "3490", "image": "3490.png", "conversations": [ { "from": "human", "question": "How much money does Lindsey need to buy a piece of elegant stationery and a piece of polka-dotted paper?\n" }, { "from": "gpt", "solution": "Add the price of a piece of elegant stationery and the price of a piece of polka-dotted paper:\n\n$0.32 + $0.25 = $0.57\n\nLindsey needs $0.57.", "answer": "0.57", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| piece of elegant stationery | $0.32 |\n| white note card | $0.16 |\n| pale purple note card | $0.25 |\n| piece of polka-dotted paper | $0.25 |" } ] }, { "id": "3492", "image": "3492.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $540, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $540, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $460 | 22,500 | 1,900 |\n| $540 | 20,200 | 4,100 |\n| $620 | 17,900 | 6,300 |\n| $700 | 15,600 | 8,500 |\n| $780 | 13,300 | 10,700 |" } ] }, { "id": "3498", "image": "3498.png", "conversations": [ { "from": "human", "question": "Erica, a fitness counselor, counted the number of pull-ups completed by each bootcamp participant. How many participants did fewer than 4 pull-ups?\n" }, { "from": "gpt", "solution": "Find the rows for 0, 1, 2, and 3 pull-ups. Add the frequencies for these rows.\n\nAdd:\n\n15 + 6 + 20 + 1 = 42\n\n42 participants did fewer than 4 pull-ups.", "answer": "42", "table": "**Doing pull-ups**\n\n| Number of pull-ups | Frequency |\n| --- | --- |\n| 0 | 15 |\n| 1 | 6 |\n| 2 | 20 |\n| 3 | 1 |\n| 4 | 12 |\n| 5 | 3 |\n| 6 | 10 |" } ] }, { "id": "3505", "image": "3505.png", "conversations": [ { "from": "human", "question": "To get to know her students better, Ms. Crawford surveyed her math students to determine what hobbies and school subjects they prefer. What is the probability that a randomly selected student enjoys poetry and prefers math? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the student enjoys poetry\" and B be the event \"the student prefers math\".\nTo find the probability that a student enjoys poetry and prefers math, first identify the sample space and the event.\nThe outcomes in the sample space are the different students. Each student is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the student enjoys poetry and prefers math\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the student enjoys poetry and prefers math\", so look at the table to see how many students enjoy poetry and prefer math.\nThe number of students who enjoy poetry and prefer math is 5.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of students.\n5 + 4 + 5 + 5 = 19\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{5}{19}\nThe probability that a student enjoys poetry and prefers math is \\frac{5}{19}.", "answer": "5/19", "table": "| | Math | Literature |\n| --- | --- | --- |\n| Poetry | 5 | 5 |\n| Student council | 4 | 5 |" } ] }, { "id": "3510", "image": "3510.png", "conversations": [ { "from": "human", "question": "Noah has $7.50. Does he have enough to buy a blue shirt and a black jacket?\n" }, { "from": "gpt", "solution": "Add the price of a blue shirt and the price of a black jacket:\n\n$2.38 + $5.45 = $7.83\n\n$7.83 is more than $7.50. Noah does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pair of white socks | $2.07 |\n| pair of black socks | $4.13 |\n| blue shirt | $2.38 |\n| black jacket | $5.45 |\n| pair of shoes | $6.94 |" } ] }, { "id": "3524", "image": "3524.png", "conversations": [ { "from": "human", "question": "A marketing research firm asked people how many times they visited the mall last month. How many people are there in all?\n" }, { "from": "gpt", "solution": "Add the frequencies for each row.\n\nAdd:\n\n4 + 5 + 20 + 6 + 17 + 9 = 61\n\nThere are 61 people in all.", "answer": "61", "table": "**Trips to the mall last month**\n\n| Number of trips | Frequency |\n| --- | --- |\n| 0 | 4 |\n| 1 | 5 |\n| 2 | 20 |\n| 3 | 6 |\n| 4 | 17 |\n| 5 | 9 |" } ] }, { "id": "3527", "image": "3527.png", "conversations": [ { "from": "human", "question": "How much money does Rhianna need to buy a hedgehog and a finch?\n" }, { "from": "gpt", "solution": "Add the price of a hedgehog and the price of a finch:\n\n$61.09 + $48.44 = $109.53\n\nRhianna needs $109.53.", "answer": "109.53", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| finch | $48.44 |\n| cockatoo | $58.86 |\n| pot-bellied pig | $26.30 |\n| hedgehog | $61.09 |\n| chinchilla | $39.24 |\n| chameleon | $63.10 |" } ] }, { "id": "3534", "image": "3534.png", "conversations": [ { "from": "human", "question": "John buys 3 kilograms of pineapples and 1 kilogram of grapefruits. How much does he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the pineapples. Multiply:\n\n$1.87 × 3 = $5.61\n\nFind the cost of the grapefruits. Multiply:\n\n$0.36 × 1 = $0.36\n\nNow find the total cost by adding:\n\n$5.61 + $0.36 = $5.97\n\nHe spends $5.97.", "answer": "5.97", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| grapefruits | $0.36/kg |\n| tangerines | $1.56/kg |\n| pineapples | $1.87/kg |\n| lemons | $1.30/kg |\n| oranges | $0.58/kg |" } ] }, { "id": "3537", "image": "3537.png", "conversations": [ { "from": "human", "question": "Kate baked cookies each day for a bake sale. How many cookies in total did Kate bake on Saturday and Tuesday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nSaturday: 177\nTuesday: 120\n\nNow add: 177 + 120 = 297.\n\nKate baked 297 cookies on Saturday and Tuesday.", "answer": "297", "table": "**Cookies baked**\n\n| Day | Number of cookies |\n| --- | --- |\n| Saturday | 177 |\n| Sunday | 122 |\n| Monday | 109 |\n| Tuesday | 120 |\n| Wednesday | 123 |" } ] }, { "id": "3538", "image": "3538.png", "conversations": [ { "from": "human", "question": "A pottery factory kept track of the number of broken plates per shipment last week. How many shipments had less than 52 broken plates?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1, 2, 3, and 4.\n\nIn the row with stem 5, count all the leaves less than 2.\n\nYou counted 9 leaves, which are blue in the stem-and-leaf plots above. 9 shipments had less than 52 broken plates.", "answer": "9", "table": "**Broken plates per shipment**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 6 |\n| 2 | 4 |\n| 3 | 0, 1, 2, 6, 7, 9 |\n| 4 | 8 |\n| 5 | 3, 7 |\n| 6 | 3 |\n| 7 | |\n| 8 | 0, 4, 8 |\n| 9 | 0 |" } ] }, { "id": "3539", "image": "3539.png", "conversations": [ { "from": "human", "question": "A stock broker followed the stock prices of a certain set of companies. On Wednesday, which company's stock cost the least?\n" }, { "from": "gpt", "solution": "Look at the numbers in the Wednesday column. Find the least number in this column.\n\nThe least number is $2.00, which is in the Watson and Partners row. On Wednesday, Watson and Partners's stock cost the least.", "answer": "Watson and Partners", "table": "**Stock prices**\n\n| Company | Tuesday | Wednesday |\n| --- | --- | --- |\n| White and Company | $18 | $17 |\n| Jonas Incorporated | $9 | $18 |\n| Watson and Partners | $18 | $2 |" } ] }, { "id": "3544", "image": "3544.png", "conversations": [ { "from": "human", "question": "A pretzel stand owner kept track of the number of pretzels sold during the past 3 days. How many pretzels in total did the stand sell on Sunday and Monday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nSunday: 590\nMonday: 232\n\nNow add: 590 + 232 = 822.\n\nThe stand sold 822 pretzels on Sunday and Monday.", "answer": "822", "table": "**Pretzels sold**\n\n| Day | Number of pretzels |\n| --- | --- |\n| Saturday | 125 |\n| Sunday | 590 |\n| Monday | 232 |" } ] }, { "id": "3550", "image": "3550.png", "conversations": [ { "from": "human", "question": "Some friends played a trivia game and recorded their scores. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 10, 3, 6, 10, 6, 6, 3\n\nFirst, arrange the numbers from least to greatest:\n\n3, 3, 6, 6, 6, 6, 10, 10\n\nNow count how many times each number appears.\n\n3 appears 2 times.\n6 appears 4 times.\n10 appears 2 times.\n\nThe number that appears most often is 6.\n\nThe mode is 6.", "answer": "6", "table": "**Trivia game scores**\n\n| Name | Score |\n| --- | --- |\n| Abigail | 6 |\n| Bernie | 10 |\n| Jada | 3 |\n| Luke | 6 |\n| Trent | 10 |\n| Estelle | 6 |\n| Garrett | 6 |\n| Isabella | 3 |" } ] }, { "id": "3553", "image": "3553.png", "conversations": [ { "from": "human", "question": "A business analyst compared purchases of different types of cereal. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n51, 50, 61, 61, 50, 50, 51\n\nFirst, arrange the numbers from least to greatest:\n\n50, 50, 50, 51, 51, 61, 61\n\nNow count how many times each number appears.\n\n50 appears 3 times.\n51 appears 2 times.\n61 appears 2 times.\n\nThe number that appears most often is 50.\n\nThe mode is 50.", "answer": "50", "table": "**Boxes of cereal purchased**\n\n| Cereal | Number of boxes purchased |\n| --- | --- |\n| Whole Wheat Goodness | 51 |\n| Almond Crisp Crunch | 50 |\n| Oaty Yums | 61 |\n| Caramel Deelish | 61 |\n| Vanilla Honey Clusters | 50 |\n| Krispee Bites | 50 |\n| Fruit-E-Ohs | 51 |" } ] }, { "id": "3558", "image": "3558.png", "conversations": [ { "from": "human", "question": "How much more does a picnic table cost than a lawn chair?\n" }, { "from": "gpt", "solution": "Subtract the price of a lawn chair from the price of a picnic table.\n\n$95.90 - $24.55 = $71.35\n\nA picnic table costs $71.35 more than a lawn chair.", "answer": "71.35", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| picnic table | $95.90 |\n| lawn chair | $24.55 |\n| lawn ornament | $89.92 |\n| leaf blower | $85.57 |\n| red clay pot | $22.52 |" } ] }, { "id": "3572", "image": "3572.png", "conversations": [ { "from": "human", "question": "How much money does Jane need to buy a shiny red bead and a purple and red clay bead?\n" }, { "from": "gpt", "solution": "Add the price of a shiny red bead and the price of a purple and red clay bead:\n\n$0.06 + $0.04 = $0.10\n\nJane needs $0.10.", "answer": "0.10", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| square yellow bead | $0.08 |\n| shiny red bead | $0.06 |\n| brown cat's eye bead | $0.01 |\n| purple and red clay bead | $0.04 |" } ] }, { "id": "3577", "image": "3577.png", "conversations": [ { "from": "human", "question": "Some friends compared the sizes of their stuffed animal collections. If you combine their collections, how many stuffed animals do Mariana and Brennan have?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nMariana: 175\nBrennan: 119\n\nNow add: 175 + 119 = 294.\n\nMariana and Brennan have 294 stuffed animals.", "answer": "294", "table": "**Stuffed animal collections**\n\n| Name | Number of stuffed animals |\n| --- | --- |\n| Mariana | 175 |\n| Sharon | 627 |\n| Brennan | 119 |" } ] }, { "id": "3578", "image": "3578.png", "conversations": [ { "from": "human", "question": "A pet store owner had his staff count the number of fish in each tank. How many tanks have fewer than 60 fish?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 3, 4, and 5.\n\nYou counted 8 leaves, which are blue in the stem-and-leaf plot above. 8 tanks have fewer than 60 fish.", "answer": "8", "table": "**Fish per tank**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 1, 4, 7 |\n| 4 | 5, 5, 5, 9 |\n| 5 | 5 |\n| 6 | 1 |" } ] }, { "id": "3590", "image": "3590.png", "conversations": [ { "from": "human", "question": "Each shelf has 2 books. How many books are on 4 shelves?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 8 books on 4 shelves.", "answer": "8", "table": "| Number of shelves | Number of books |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | 6 |\n| 4 | ? |" } ] }, { "id": "3593", "image": "3593.png", "conversations": [ { "from": "human", "question": "Rhianna has $28.00. Does she have enough to buy a pink sweater and a pair of brown pants?\n" }, { "from": "gpt", "solution": "Add the price of a pink sweater and the price of a pair of brown pants:\n\n$15.00 + $16.00 = $31.00\n\n$31.00 is more than $28.00. Rhianna does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pair of boots | $43.00 |\n| black skirt | $12.00 |\n| pair of brown pants | $16.00 |\n| pink sweater | $15.00 |" } ] }, { "id": "3594", "image": "3594.png", "conversations": [ { "from": "human", "question": "An author kept a log of how many pages he wrote in the past 5 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 1, 1, 7, 4\n\nFirst, find the greatest number. The greatest number is 9.\n\nNext, find the least number. The least number is 1.\n\nSubtract the least number from the greatest number:\n\n9 − 1 = 8\n\nThe range is 8.", "answer": "8", "table": "**Pages written**\n\n| Day | Number of pages |\n| --- | --- |\n| Tuesday | 9 |\n| Wednesday | 1 |\n| Thursday | 1 |\n| Friday | 7 |\n| Saturday | 4 |" } ] }, { "id": "3597", "image": "3597.png", "conversations": [ { "from": "human", "question": "A baseball player paid attention to how many baseballs he hit in practice each day. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n82, 82, 79, 80, 85, 83, 85\n\nFirst, arrange the numbers from least to greatest:\n\n79, 80, 82, 82, 83, 85, 85\n\nNow find the number in the middle.\n\n79, 80, 82, 82, 83, 85, 85\n\nThe number in the middle is 82.\n\nThe median is 82.", "answer": "82", "table": "**Baseballs hit**\n\n| Day | Number of baseballs |\n| --- | --- |\n| Friday | 82 |\n| Saturday | 82 |\n| Sunday | 79 |\n| Monday | 80 |\n| Tuesday | 85 |\n| Wednesday | 83 |\n| Thursday | 85 |" } ] }, { "id": "3600", "image": "3600.png", "conversations": [ { "from": "human", "question": "Terrell kept track of the number of characters in each book he read. How many books had at least 19 characters but fewer than 46 characters?\n" }, { "from": "gpt", "solution": "Find the row with stem 1. Count all the leaves greater than or equal to 9.\n\nCount all the leaves in the rows with stems 2 and 3.\n\nIn the row with stem 4, count all the leaves less than 6.\n\nYou counted 8 leaves, which are blue in the stem-and-leaf plots above. 8 books had at least 19 characters but fewer than 46 characters.", "answer": "8", "table": "**Characters per book**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1, 4 |\n| 2 | 6, 6, 7, 8 |\n| 3 | 3, 6 |\n| 4 | 2, 4 |\n| 5 | 2, 2 |" } ] }, { "id": "3601", "image": "3601.png", "conversations": [ { "from": "human", "question": "Several people compared how many Web pages they had visited. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n8, 3, 3, 8, 3\n\nFirst, arrange the numbers from least to greatest:\n\n3, 3, 3, 8, 8\n\nNow count how many times each number appears.\n\n3 appears 3 times.\n8 appears 2 times.\n\nThe number that appears most often is 3.\n\nThe mode is 3.", "answer": "3", "table": "**Web pages visited**\n\n| Person | Number of Web pages |\n| --- | --- |\n| William | 8 |\n| Luke | 3 |\n| Tom | 3 |\n| Kristen | 8 |\n| Alexis | 3 |" } ] }, { "id": "3603", "image": "3603.png", "conversations": [ { "from": "human", "question": "Cooper kept a log of how many minutes he spent practicing skiing over the past 5 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n67, 71, 72, 65, 65\n\nFirst, find the greatest number. The greatest number is 72.\n\nNext, find the least number. The least number is 65.\n\nSubtract the least number from the greatest number:\n\n72 − 65 = 7\n\nThe range is 7.", "answer": "7", "table": "**Minutes spent practicing**\n\n| Day | Minutes |\n| --- | --- |\n| Sunday | 67 |\n| Monday | 71 |\n| Tuesday | 72 |\n| Wednesday | 65 |\n| Thursday | 65 |" } ] }, { "id": "3605", "image": "3605.png", "conversations": [ { "from": "human", "question": "How much more does baked ziti cost than a cheese pizza?\n" }, { "from": "gpt", "solution": "Subtract the price of a cheese pizza from the price of baked ziti.\n\n$13.96 - $12.15 = $1.81\n\nBaked ziti costs $1.81 more than a cheese pizza.", "answer": "1.81", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| baked ziti | $13.96 |\n| pasta with white sauce | $11.51 |\n| pepperoni pizza | $10.58 |\n| ravioli | $10.44 |\n| lasagna | $12.44 |\n| cheese pizza | $12.15 |" } ] }, { "id": "3609", "image": "3609.png", "conversations": [ { "from": "human", "question": "How much more does a Jamaican vacation package cost than a Caribbean vacation package?\n" }, { "from": "gpt", "solution": "Subtract the price of a Caribbean vacation package from the price of a Jamaican vacation package.\n\n$4,565 - $2,830 = $1,735\n\nA Jamaican vacation package costs $1,735 more than a Caribbean vacation package.", "answer": "1,735", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| Hawaiian vacation package | $1,657 |\n| Caribbean vacation package | $2,830 |\n| Jamaican vacation package | $4,565 |\n| European vacation package | $3,768 |" } ] }, { "id": "3611", "image": "3611.png", "conversations": [ { "from": "human", "question": "A tire factory manager monitored the number of tires made each month. How many more tires did the factory make in January than in February?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nJanuary: 8,814\nFebruary: 1,472\n\nNow subtract: 8,814 - 1,472 = 7,342.\n\nThe tire made 7,342 more tires in January.", "answer": "7,342", "table": "**Tires made**\n\n| Month | Number of tires |\n| --- | --- |\n| November | 3,607 |\n| December | 5,898 |\n| January | 8,814 |\n| February | 1,472 |" } ] }, { "id": "3615", "image": "3615.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{13 - 14}{16 - 15}\n = \\frac{-1}{1}\n = -1\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{6 - 13}{17 - 16}\n = \\frac{-7}{1}\n = -7\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 15 | 14 |\n| 16 | 13 |\n| 17 | 6 |" } ] }, { "id": "3618", "image": "3618.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $850, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $850, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $810 | 13,200 | 1,100 |\n| $850 | 10,700 | 5,800 |\n| $890 | 8,200 | 10,500 |\n| $930 | 5,700 | 15,200 |\n| $970 | 3,200 | 19,900 |" } ] }, { "id": "3645", "image": "3645.png", "conversations": [ { "from": "human", "question": "Mr. Wilkinson, a P.E. teacher, wrote down how much weight each of his students could lift. What is the highest weight lifted?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 9.\n\nNow find the highest leaf in the last row. The highest leaf is 0.\n\nThe highest weight lifted has a stem of 9 and a leaf of 0. Write the stem first, then the leaf: 90.\n\nThe highest weight lifted is 90 pounds.", "answer": "90", "table": "**Weight lifting results (lbs)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 3 |\n| 2 | 1, 3, 4 |\n| 3 | 3, 6, 6, 9, 9 |\n| 4 | 0, 2, 9 |\n| 5 | 3, 9 |\n| 6 | 0, 8 |\n| 7 | 3, 8 |\n| 8 | 6 |\n| 9 | 0 |" } ] }, { "id": "3648", "image": "3648.png", "conversations": [ { "from": "human", "question": "The Rockport Soup Company recorded the number of rotten tomatoes in each barrel it received. How many barrels had at least 12 rotten tomatoes but less than 66 rotten tomatoes?\n" }, { "from": "gpt", "solution": "Find the row with stem 1. Count all the leaves greater than or equal to 2.\n\nCount all the leaves in the rows with stems 2, 3, 4, and 5.\n\nIn the row with stem 6, count all the leaves less than 6.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plots above. 4 barrels had at least 12 rotten tomatoes but less than 66 rotten tomatoes.", "answer": "4", "table": "**Rotten tomatoes per barrel**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 2 |\n| 2 | 9 |\n| 3 | |\n| 4 | 0 |\n| 5 | |\n| 6 | 5 |\n| 7 | |\n| 8 | 6, 9 |" } ] }, { "id": "3652", "image": "3652.png", "conversations": [ { "from": "human", "question": "Nate has $1.50. Does he have enough to buy a nectarine and a pear?\n" }, { "from": "gpt", "solution": "Add the price of a nectarine and the price of a pear:\n\n$0.67 + $0.86 = $1.53\n\n$1.53 is more than $1.50. Nate does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| cucumber | $0.74 |\n| orange | $0.97 |\n| nectarine | $0.67 |\n| pear | $0.86 |" } ] }, { "id": "3656", "image": "3656.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does the gymnastics event begin?\n" }, { "from": "gpt", "solution": "Find the gymnastics event on the schedule. Find the beginning time for the gymnastics event.\n\ngymnastics: 6:45 P. M.", "answer": "6:45 P.M.", "table": "**Summer Olympics schedule**\n\n| Event | Begin | End |\n| --- | --- | --- |\n| volleyball | 10:20 A.M. | 4:20 P.M. |\n| archery | 2:40 P.M. | 6:15 P.M. |\n| tennis | 4:50 P.M. | 8:20 P.M. |\n| gymnastics | 6:45 P.M. | 8:45 P.M. |\n| cycling | 7:30 P.M. | 9:15 P.M. |" } ] }, { "id": "3658", "image": "3658.png", "conversations": [ { "from": "human", "question": "A county agency recorded the money donated to several charitable causes over time. Which cause raised less money in April, education or parks?\n" }, { "from": "gpt", "solution": "Find the April column. Compare the numbers in this column for education and parks.\n\n$1.00 is less than $2.00. In April, less money was raised for parks.", "answer": "parks", "table": "**Donations received**\n\n| Cause | April | May |\n| --- | --- | --- |\n| Hunger | $12 | $13 |\n| Parks | $1 | $5 |\n| Animals | $2 | $20 |\n| Education | $2 | $16 |" } ] }, { "id": "3659", "image": "3659.png", "conversations": [ { "from": "human", "question": "Some students compared how many clubs they belong to. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n4, 1, 5, 9, 3, 8, 9\n\nFirst, arrange the numbers from least to greatest:\n\n1, 3, 4, 5, 8, 9, 9\n\nNow find the number in the middle.\n\n1, 3, 4, 5, 8, 9, 9\n\nThe number in the middle is 5.\n\nThe median is 5.", "answer": "5", "table": "**Clubs**\n\n| Name | Number of clubs |\n| --- | --- |\n| Braden | 4 |\n| Adam | 1 |\n| Madelyn | 5 |\n| Javier | 9 |\n| Debbie | 3 |\n| Garrett | 8 |\n| Kevin | 9 |" } ] }, { "id": "3662", "image": "3662.png", "conversations": [ { "from": "human", "question": "If Amanda buys 3 kilograms of Chinese lettuce, how much will she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the Chinese lettuce. Multiply the price per kilogram by the number of kilograms.\n\n$1.29 × 3 = $3.87\n\nShe will spend $3.87.", "answer": "3.87", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| kale | $2.18 per kg |\n| romaine lettuce | $2.05 per kg |\n| Swiss chard | $1.91 per kg |\n| butterhead lettuce | $0.76 per kg |\n| Chinese lettuce | $1.29 per kg |" } ] }, { "id": "3664", "image": "3664.png", "conversations": [ { "from": "human", "question": "Chandler purchased 4 kilograms of egg salad. What was the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the egg salad. Multiply the price per kilogram by the number of kilograms.\n\n$2.25 × 4 = $9\n\nThe total cost was $9.", "answer": "9", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| tuna salad | $1.81/kilogram |\n| macaroni salad | $1.46/kilogram |\n| egg salad | $2.25/kilogram |\n| fruit salad | $2.26/kilogram |\n| green salad | $1.55/kilogram |\n| potato salad | $2.30/kilogram |" } ] }, { "id": "3666", "image": "3666.png", "conversations": [ { "from": "human", "question": "A grocery store chain tracked the number of trips people made to its stores last week. How many people went to the grocery store at least 5 times?\n" }, { "from": "gpt", "solution": "Find the rows for 5 and 6 times. Add the frequencies for these rows.\n\nAdd:\n\n11 + 12 = 23\n\n23 people went to the grocery store at least 5 times.", "answer": "23", "table": "**Trips to the grocery store last week**\n\n| Number of trips | Frequency |\n| --- | --- |\n| 1 | 5 |\n| 2 | 17 |\n| 3 | 1 |\n| 4 | 19 |\n| 5 | 11 |\n| 6 | 12 |" } ] }, { "id": "3667", "image": "3667.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $880, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $880, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $480 | 6,900 | 20,700 |\n| $580 | 6,100 | 21,400 |\n| $680 | 5,300 | 22,100 |\n| $780 | 4,500 | 22,800 |\n| $880 | 3,700 | 23,500 |" } ] }, { "id": "3669", "image": "3669.png", "conversations": [ { "from": "human", "question": "Seaside Flooring tracked the number of broken tiles in each shipment it received last year. What is the smallest number of broken tiles?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 4.\n\nNow find the lowest leaf in the first row. The lowest leaf is 0.\n\nThe smallest number of broken tiles has a stem of 4 and a leaf of 0. Write the stem first, then the leaf: 40.\n\nThe smallest number of broken tiles is 40 broken tiles.", "answer": "40", "table": "**Broken tiles per shipment**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 0, 3, 5, 8 |\n| 5 | 1, 6, 7, 8, 9 |\n| 6 | 3, 6, 6, 8, 9, 9 |\n| 7 | 1, 4 |" } ] }, { "id": "3671", "image": "3671.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Malia is at Hillsboro at 2.15 P.M. How soon can she get to Lanberry?\n" }, { "from": "gpt", "solution": "Look at the row for Hillsboro. Find the next train departing from Hillsboro after 2:15 P. M. This train departs from Hillsboro at 2:30 P. M.\n\nLook down the column until you find the row for Lanberry.\n\nMalia will get to Lanberry at 3:15 P. M.", "answer": "3:15 P.M.", "table": "**Train schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 | Column 5 |\n| --- | --- | --- | --- | --- |\n| Cedarburg | 7:45 A.M. | 8:30 A.M. | 9:30 A.M. | 10:30 A.M. |\n| Stafford | 9:30 A.M. | 10:15 A.M. | 11:15 A.M. | 12:15 P.M. |\n| Norwood | 10:00 A.M. | 10:45 A.M. | 11:45 A.M. | 12:45 P.M. |\n| Danville | 11:00 A.M. | 11:45 A.M. | 12:45 P.M. | 1:45 P.M. |\n| Hillsboro | 11:45 A.M. | 12:30 P.M. | 1:30 P.M. | 2:30 P.M. |\n| Lanberry | 12:30 P.M. | 1:15 P.M. | 2:15 P.M. | 3:15 P.M. |\n| Centerville | 2:15 P.M. | 3:00 P.M. | 4:00 P.M. | 5:00 P.M. |" } ] }, { "id": "3672", "image": "3672.png", "conversations": [ { "from": "human", "question": "Mrs. Bowen, the biology teacher, asked her students how many times they went to the science museum last year. How many students went to the science museum more than 1 time?\n" }, { "from": "gpt", "solution": "Find the rows for 2, 3, 4, and 5 times. Add the frequencies for these rows.\n\nAdd:\n\n17 + 18 + 13 + 9 = 57\n\n57 students went to the science museum more than 1 time.", "answer": "57", "table": "**Trips to the science museum last year**\n\n| Number of trips | Frequency |\n| --- | --- |\n| 0 | 4 |\n| 1 | 0 |\n| 2 | 17 |\n| 3 | 18 |\n| 4 | 13 |\n| 5 | 9 |" } ] }, { "id": "3675", "image": "3675.png", "conversations": [ { "from": "human", "question": "A Girl Scout troop recorded how many boxes of cookies they sold each day for a week. According to the table, what was the rate of change between Sunday and Monday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{23 boxes - 26 boxes}{1 day}\n = \\frac{-3 boxes}{1 day}\n = -3 boxes per day\nThe rate of change between Sunday and Monday was - 3 boxes per day.", "answer": "-3", "table": "**Boxes of Girl Scout cookies sold**\n\n| Day | Boxes of cookies |\n| --- | --- |\n| Sunday | 26 |\n| Monday | 23 |\n| Tuesday | 25 |\n| Wednesday | 10 |\n| Thursday | 15 |" } ] }, { "id": "3677", "image": "3677.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $785, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $785, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $455 | 19,400 | 3,700 |\n| $565 | 14,900 | 6,600 |\n| $675 | 10,400 | 9,500 |\n| $785 | 5,900 | 12,400 |\n| $895 | 1,400 | 15,300 |" } ] }, { "id": "3678", "image": "3678.png", "conversations": [ { "from": "human", "question": "Look at Joshua's pay stub. Joshua lives in a state that has state income tax. How much did Joshua make after taxes?\n" }, { "from": "gpt", "solution": "Find how much Joshua made after taxes. Find the total payroll tax, then subtract it from the total earnings.\nTo find the total payroll tax, add the federal income tax, state income tax, and other taxes.\nThe total earnings are $2,500.00. The total payroll tax is $629.56. Subtract to find the difference.\n$2,500.00 - $629.56 = $1,870.44\nJoshua made $1,870.44 after taxes.", "answer": "1,870.44", "table": "| Employee | Pay period | |\n| --- | --- | --- |\n| Joshua Anderson | September | |\n| Total earnings | | $2,500.00 |\n| Federal income tax | $284.56 | |\n| State income tax | $154.00 | |\n| Other taxes | $191.00 | |\n| Total taxes | | ? |\n| Pay after taxes | | ? |" } ] }, { "id": "3688", "image": "3688.png", "conversations": [ { "from": "human", "question": "Dr. Stewart, a zoo director, researched ticket prices at other zoos around the country. Which charges more for a senior ticket, the Oakland Zoo or the Atlanta Zoo?\n" }, { "from": "gpt", "solution": "Find the Senior column. Compare the numbers in this column for Oakland and Atlanta.\n\n$15.00 is more than $7.00. The Atlanta Zoo charges more for a senior.", "answer": "Atlanta", "table": "**Zoo ticket prices**\n\n| Zoo | Child | Senior |\n| --- | --- | --- |\n| Bronx | $11 | $13 |\n| Denver | $7 | $9 |\n| Oakland | $7 | $7 |\n| Atlanta | $14 | $15 |\n| San Francisco | $9 | $12 |" } ] }, { "id": "3690", "image": "3690.png", "conversations": [ { "from": "human", "question": "Tori, a birdwatcher, counted the number of each species of bird at the local county parks. How many more birds were spotted in Mountain Park than in Skyline Park?\n" }, { "from": "gpt", "solution": "Add the numbers in the Mountain Park row. Then, add the numbers in the Skyline Park row.\n\nMountain Park: 10 + 19 = 29\nSkyline Park: 6 + 17 = 23\n\nNow subtract:\n\n29 − 23 = 6\n\n6 more birds were spotted in Mountain Park than in Skyline Park.", "answer": "6", "table": "**Bird sightings in parks**\n\n| Park | Vultures | Falcons |\n| --- | --- | --- |\n| Northside Park | 2 | 3 |\n| Skyline Park | 6 | 17 |\n| Mountain Park | 10 | 19 |" } ] }, { "id": "3698", "image": "3698.png", "conversations": [ { "from": "human", "question": "For an economics project, Naomi determined the cost of ferry rides for bicycles and cars. How much does it cost to take a bicycle on the Fauntleroy-Vashon ferry?\n" }, { "from": "gpt", "solution": "First, find the row for Fauntleroy-Vashon. Then find the number in the Bicycle column.\n\nThis number is $5.00. It costs $5 to take a bicycle on the Fauntleroy-Vashon ferry.", "answer": "5", "table": "**Ferry fares**\n\n| Ferry | Bicycle | Car |\n| --- | --- | --- |\n| Seattle-Bremerton | $8 | $12 |\n| Fauntleroy-Vashon | $5 | $15 |\n| Mukilteu-Clinton | $5 | $7 |\n| Ocracoke | $3 | $15 |" } ] }, { "id": "3714", "image": "3714.png", "conversations": [ { "from": "human", "question": "Roy wants to buy 2/5 of a pound of Red Pontiac potatoes. How much will he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the Red Pontiac potatoes. Multiply the price per pound by the number of pounds.\n$3 × \\frac{2}{5} = $3 × 0.4 = $1.20\nHe will spend $1.20.", "answer": "1.20", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| Yukon Gold potatoes | $4/pound |\n| Russet Burbank potatoes | $3/pound |\n| Red Pontiac potatoes | $3/pound |\n| Rooster potatoes | $3/pound |\n| Golden Wonder potatoes | $4/pound |" } ] }, { "id": "3718", "image": "3718.png", "conversations": [ { "from": "human", "question": "The owner of a plant nursery wrote down the number of roses on each bush. How many bushes have fewer than 73 roses?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 2, 3, 4, 5, and 6.\n\nIn the row with stem 7, count all the leaves less than 3.\n\nYou counted 18 leaves, which are blue in the stem-and-leaf plots above. 18 bushes have fewer than 73 roses.", "answer": "18", "table": "**Roses per bush**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 4 |\n| 3 | 0, 4 |\n| 4 | 1, 7, 9 |\n| 5 | 0, 3, 4, 5, 6, 7, 7, 7 |\n| 6 | 1, 2, 9 |\n| 7 | 1, 4, 4, 6 |\n| 8 | 4 |\n| 9 | 0 |" } ] }, { "id": "3722", "image": "3722.png", "conversations": [ { "from": "human", "question": "For a science fair project, Bonnie tracked the temperature each day. How many temperature readings were exactly 30°C?\n" }, { "from": "gpt", "solution": "For the number 30, the stem is 3, and the leaf is 0. Find the row where the stem is 3. In that row, count all the leaves equal to 0.\n\nYou counted 1 leaf, which is blue in the stem-and-leaf plot above. 1 temperature reading was exactly 30°C.", "answer": "1", "table": "**Daily temperatures (°C)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 4 |\n| 2 | 4, 6 |\n| 3 | 0, 8 |\n| 4 | 1, 2 |" } ] }, { "id": "3734", "image": "3734.png", "conversations": [ { "from": "human", "question": "Dover Flooring tracked the number of broken tiles in each shipment it received last year. What is the largest number of broken tiles?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 9.\n\nNow find the highest leaf in the last row. The highest leaf is 0.\n\nThe largest number of broken tiles has a stem of 9 and a leaf of 0. Write the stem first, then the leaf: 90.\n\nThe largest number of broken tiles is 90 broken tiles.", "answer": "90", "table": "**Broken tiles per shipment**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 3 |\n| 3 | 4 |\n| 4 | |\n| 5 | 8 |\n| 6 | |\n| 7 | 9 |\n| 8 | 3, 5 |\n| 9 | 0 |" } ] }, { "id": "3735", "image": "3735.png", "conversations": [ { "from": "human", "question": "How much money does Ariana need to buy 7 jars of olives and 3 cans of soup?\n" }, { "from": "gpt", "solution": "Find the cost of 7 jars of olives.\n\n$0.52 × 7 = $3.64\n\nFind the cost of 3 cans of soup.\n\n$0.89 × 3 = $2.67\n\nNow find the total cost.\n\n$3.64 + $2.67 = $6.31\n\nAriana needs $6.31.", "answer": "6.31", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| can of tuna fish | $0.55 |\n| can of corn | $0.51 |\n| jar of olives | $0.52 |\n| can of soup | $0.89 |\n| can of mushrooms | $0.49 |" } ] }, { "id": "3737", "image": "3737.png", "conversations": [ { "from": "human", "question": "Some scooter companies compared how many scooters they sold. Which company sold the most scooters?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 59.\n\nNow find the corresponding company. Scooters and More corresponds to 59.", "answer": "Scooters and More", "table": "**Scooters sold**\n\n| Company | Number of scooters sold |\n| --- | --- |\n| Scooters and More | 59 |\n| Just Scooters | 51 |\n| Let's Jet Scooters | 56 |\n| Zippy Scooters | 58 |" } ] }, { "id": "3741", "image": "3741.png", "conversations": [ { "from": "human", "question": "Dana counted the number of ducks at each pond in the city. How many ponds had exactly 65 ducks?\n" }, { "from": "gpt", "solution": "For the number 65, the stem is 6, and the leaf is 5. Find the row where the stem is 6. In that row, count all the leaves equal to 5.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 ponds had exactly 65 ducks.", "answer": "4", "table": "**Ducks per pond**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 2 |\n| 3 | 0, 3, 4, 8 |\n| 4 | 1, 2, 6, 8 |\n| 5 | 0, 6, 7, 9 |\n| 6 | 1, 3, 5, 5, 5, 5, 7 |\n| 7 | 0, 3, 7 |\n| 8 | 3 |\n| 9 | 0 |" } ] }, { "id": "3745", "image": "3745.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which event begins at 10.50 A.M.?\n" }, { "from": "gpt", "solution": "Find 10:50 A. M. on the schedule. The baseball game begins at 10:50 A. M.", "answer": "baseball game", "table": "**University sports schedule**\n\n| Event | Begin | End |\n| --- | --- | --- |\n| rowing regatta | 10:35 A.M. | 11:45 A.M. |\n| baseball game | 10:50 A.M. | 1:15 P.M. |\n| track meet | 1:45 P.M. | 3:10 P.M. |\n| golf tournament | 2:50 P.M. | 4:35 P.M. |\n| softball game | 4:35 P.M. | 6:35 P.M. |" } ] }, { "id": "3769", "image": "3769.png", "conversations": [ { "from": "human", "question": "A crayon factory monitored the number of broken crayons per box during the past day. What is the smallest number of broken crayons?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 1.\n\nNow find the lowest leaf in the first row. The lowest leaf is 2.\n\nThe smallest number of broken crayons has a stem of 1 and a leaf of 2. Write the stem first, then the leaf: 12.\n\nThe smallest number of broken crayons is 12 broken crayons.", "answer": "12", "table": "**Broken crayons per box**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 2, 3, 3 |\n| 2 | 2, 8 |\n| 3 | 2, 5, 6, 7, 7, 8 |\n| 4 | 6, 8 |" } ] }, { "id": "3773", "image": "3773.png", "conversations": [ { "from": "human", "question": "Use the data to answer the question below. Is the following statement about our solar system true or false? The volume of Earth is more than ten times the volume of Mercury.\n" }, { "from": "gpt", "solution": "To determine if this statement is true, calculate the value of ten times the volume of Mercury.\n\n6.08 x10^10 · 10^1\n = 6.08 x10^11 km^3\n\nThen compare the result to the volume of Earth. The volume of Earth is 1.08 x10^12 km^3, which is greater than 6.08 x10^11 km^3. So, the volume of Earth is more than ten times the volume of Mercury.", "answer": "true", "table": "**Planet Volume (km3) Primary composition**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Mercury | 6.08 x | 1010 rock |\n| Venus | 9.28 x | 1011 rock |\n| Earth | 1.08 x | 1012 rock |\n| Mars | 1.63 x | 1011 rock |\n| Jupiter | 1.43 x | 1015 gas |\n| Saturn | 8.27 x | 1014 gas |\n| Uranus | 6.83 x | 1013 ice |\n| Neptune | 6.25 x | 1013 ice |" } ] }, { "id": "3781", "image": "3781.png", "conversations": [ { "from": "human", "question": "Several children compared how many thank-you notes they had written during the previous month. How many children wrote at least 2 thank-you notes?\n" }, { "from": "gpt", "solution": "Find the rows for 2 and 3 thank-you notes. Add the frequencies for these rows.\n\nAdd:\n\n7 + 6 = 13\n\n13 children wrote at least 2 thank-you notes.", "answer": "13", "table": "**Writing thank-you notes**\n\n| Thank-you notes written | Frequency |\n| --- | --- |\n| 0 | 4 |\n| 1 | 16 |\n| 2 | 7 |\n| 3 | 6 |" } ] }, { "id": "3785", "image": "3785.png", "conversations": [ { "from": "human", "question": "How much money does Tamir need to buy 5 nights' stay at Golden Peak Hotel and 6 nights' stay at Grand Vista Hotel?\n" }, { "from": "gpt", "solution": "Find the cost of 5 nights' stay at Golden Peak Hotel.\n\n$236 × 5 = $1,180\n\nFind the cost of 6 nights' stay at Grand Vista Hotel.\n\n$239 × 6 = $1,434\n\nNow find the total cost.\n\n$1,180 + $1,434 = $2,614\n\nTamir needs $2,614.", "answer": "2,614", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| night's stay at White Oak Motel | $334 |\n| night's stay at Grand Vista Hotel | $239 |\n| night's stay at Mahogany Lodge | $279 |\n| night's stay at Golden Peak Hotel | $236 |\n| night's stay at Liberty Bed and Breakfast | $388 |\n| night's stay at Cerulean Resort | $108 |" } ] }, { "id": "3788", "image": "3788.png", "conversations": [ { "from": "human", "question": "How much more does a rolling pin cost than a coffee pot?\n" }, { "from": "gpt", "solution": "Subtract the price of a coffee pot from the price of a rolling pin.\n\n$15 - $13 = $2\n\nA rolling pin costs $2 more than a coffee pot.", "answer": "2", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| cookie jar | $13 |\n| soup pot | $19 |\n| baking dish | $12 |\n| rolling pin | $15 |\n| coffee pot | $13 |" } ] }, { "id": "3796", "image": "3796.png", "conversations": [ { "from": "human", "question": "The movie critic liked to count the number of actors in each movie she saw. What is the largest number of actors?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 9.\n\nNow find the highest leaf in the last row. The highest leaf is 0.\n\nThe largest number of actors has a stem of 9 and a leaf of 0. Write the stem first, then the leaf: 90.\n\nThe largest number of actors is 90 actors.", "answer": "90", "table": "**Actors per movie**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 2, 3, 5, 7, 8 |\n| 2 | 1, 2, 8 |\n| 3 | 2, 6 |\n| 4 | 7 |\n| 5 | 0 |\n| 6 | 7 |\n| 7 | 3 |\n| 8 | 4, 4, 7, 8 |\n| 9 | 0 |" } ] }, { "id": "3802", "image": "3802.png", "conversations": [ { "from": "human", "question": "Josh bought 5 pounds of rotini pasta. How much did he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the rotini pasta. Multiply the price per pound by the number of pounds.\n\n$5.76 × 5 = $28.80\n\nHe spent $28.80.", "answer": "28.80", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| fusilli pasta | $5.39 per pound |\n| rigatoni pasta | $3.63 per pound |\n| rotini pasta | $5.76 per pound |\n| farfalle pasta | $6.48 per pound |\n| penne pasta | $5.41 per pound |" } ] }, { "id": "3806", "image": "3806.png", "conversations": [ { "from": "human", "question": "A Girl Scout troop recorded how many boxes of cookies they sold each day for a week. According to the table, what was the rate of change between Wednesday and Thursday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{49 boxes - 38 boxes}{1 day}\n = \\frac{11 boxes}{1 day}\n = 11 boxes per day\nThe rate of change between Wednesday and Thursday was 11 boxes per day.", "answer": "11", "table": "**Boxes of Girl Scout cookies sold**\n\n| Day | Boxes of cookies |\n| --- | --- |\n| Monday | 49 |\n| Tuesday | 46 |\n| Wednesday | 38 |\n| Thursday | 49 |\n| Friday | 34 |" } ] }, { "id": "3807", "image": "3807.png", "conversations": [ { "from": "human", "question": "A machine dispensed red gumdrops into bags of various sizes. How many bags had exactly 26 red gumdrops?\n" }, { "from": "gpt", "solution": "For the number 26, the stem is 2, and the leaf is 6. Find the row where the stem is 2. In that row, count all the leaves equal to 6.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 bags had exactly26 red gumdrops.", "answer": "3", "table": "**Red gumdrops per bag**\n\n| Stem | Leaf |\n| --- | --- |\n| 0 | 8 |\n| 1 | 0, 1, 4, 7, 8 |\n| 2 | 6, 6, 6, 9 |\n| 3 | 9, 9 |\n| 4 | 1 |\n| 5 | 2, 5, 8 |\n| 6 | 0, 0, 9 |\n| 7 | 1, 3, 4, 6 |" } ] }, { "id": "3808", "image": "3808.png", "conversations": [ { "from": "human", "question": "How much money does Trudy need to buy 8 macaws and 7 parrots?\n" }, { "from": "gpt", "solution": "Find the cost of 8 macaws.\n\n$859.00 × 8 = $6,872.00\n\nFind the cost of 7 parrots.\n\n$163.00 × 7 = $1,141.00\n\nNow find the total cost.\n\n$6,872.00 + $1,141.00 = $8,013.00\n\nTrudy needs $8,013.00.", "answer": "8,013", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| python | $142.00 |\n| cockatiel | $791.00 |\n| tortoise | $326.00 |\n| parrot | $163.00 |\n| gecko | $566.00 |\n| macaw | $859.00 |" } ] }, { "id": "3809", "image": "3809.png", "conversations": [ { "from": "human", "question": "Some dealerships compared their vehicle sales. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n86, 87, 86, 87, 96, 87\n\nFirst, arrange the numbers from least to greatest:\n\n86, 86, 87, 87, 87, 96\n\nNow count how many times each number appears.\n\n86 appears 2 times.\n87 appears 3 times.\n96 appears 1 time.\n\nThe number that appears most often is 87.\n\nThe mode is 87.", "answer": "87", "table": "**Vehicle sales**\n\n| Dealership | Number of vehicles |\n| --- | --- |\n| Braverton Autos | 86 |\n| Thompson Auto Warehouse | 87 |\n| Cars of Pryor Falls | 86 |\n| Affordable Cars | 87 |\n| RV City | 96 |\n| Ledbetter Auto Mall | 87 |" } ] }, { "id": "3811", "image": "3811.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{6 - 0}{17 - 16}\n = \\frac{6}{1}\n = 6\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{12 - 0}{18 - 16}\n = \\frac{12}{2}\n = 6\nThe two rates of change are the same.\nIf you checked the rate of change between rows 2 and 3, you would find that it is also 6.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 16 | 0 |\n| 17 | 6 |\n| 18 | 12 |" } ] }, { "id": "3814", "image": "3814.png", "conversations": [ { "from": "human", "question": "While looking through an almanac at the library, Julian noticed some data showing the population density of various states. In 1990, which had fewer people per square mile, New Mexico or Wyoming?\n" }, { "from": "gpt", "solution": "Find the 1990 column. Compare the numbers in this column for New Mexico and Wyoming.\n\n4 is less than 12. Wyoming had fewer people per square mile in 1990.", "answer": "Wyoming", "table": "**Population per square mile**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| State | 1990 | 2000 |\n| South Dakota | 9 | 10 |\n| Idaho | 12 | 15 |\n| Wyoming | 4 | 5 |\n| New Mexico | 12 | 15 |" } ] }, { "id": "3818", "image": "3818.png", "conversations": [ { "from": "human", "question": "Duncan has $8.25. Does he have enough to buy a book about cars and a book about trains?\n" }, { "from": "gpt", "solution": "Add the price of a book about cars and the price of a book about trains:\n\n$1.68 + $6.71 = $8.39\n\n$8.39 is more than $8.25. Duncan does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| book about cars | $1.68 |\n| book about art | $5.88 |\n| book about trains | $6.71 |\n| book about dinosaurs | $7.34 |" } ] }, { "id": "3832", "image": "3832.png", "conversations": [ { "from": "human", "question": "Amelia wants to buy 1 kilogram of dock washers. How much will she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the dock washers. Multiply the price per kilogram by the number of kilograms.\n\n$3.50 × 1 = $3.50\n\nShe will spend $3.50.", "answer": "3.50", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| dock washers | $3.50 per kilogram |\n| lock washers | $2.48 per kilogram |\n| fender washers | $2.95 per kilogram |\n| square washers | $2.37 per kilogram |\n| star washers | $3.91 per kilogram |\n| flat washers | $4.52 per kilogram |" } ] }, { "id": "3838", "image": "3838.png", "conversations": [ { "from": "human", "question": "A creative writing class compiled a list of their favorite superheroes. They listed each superhero's superpower and personality flaw. What is the probability that a randomly selected superhero is forgetful and can read minds? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the superhero is forgetful\" and B be the event \"the superhero can read minds\".\nTo find the probability that a superhero is forgetful and can read minds, first identify the sample space and the event.\nThe outcomes in the sample space are the different superheroes. Each superhero is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the superhero is forgetful and can read minds\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the superhero is forgetful and can read minds\", so look at the table to see how many superheroes are forgetful and can read minds.\nThe number of superheroes who are forgetful and can read minds is 5.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of superheroes.\n4 + 5 + 5 + 4 = 18\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{5}{18}\nThe probability that a superhero is forgetful and can read minds is \\frac{5}{18}.", "answer": "5/18", "table": "| | Fly | Read minds |\n| --- | --- | --- |\n| Forgetful | 4 | 5 |\n| Lazy | 5 | 4 |" } ] }, { "id": "3839", "image": "3839.png", "conversations": [ { "from": "human", "question": "To better understand library usage patterns, a librarian figured out how many books were checked out by some patrons last year. How many patrons checked out at least 2 books?\n" }, { "from": "gpt", "solution": "Find the rows for 2, 3, 4, 5, and 6 books. Add the frequencies for these rows.\n\nAdd:\n\n18 + 3 + 8 + 11 + 2 = 42\n\n42 patrons checked out at least 2 books.", "answer": "42", "table": "**Checking out books from the library**\n\n| Books checked out | Frequency |\n| --- | --- |\n| 1 | 1 |\n| 2 | 18 |\n| 3 | 3 |\n| 4 | 8 |\n| 5 | 11 |\n| 6 | 2 |" } ] }, { "id": "3842", "image": "3842.png", "conversations": [ { "from": "human", "question": "Omar graphed the temperature at noon for 5 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n17, 27, 33, 11, 18\n\nFirst, find the greatest number. The greatest number is 33.\n\nNext, find the least number. The least number is 11.\n\nSubtract the least number from the greatest number:\n\n33 − 11 = 22\n\nThe range is 22.", "answer": "22", "table": "**Temperature at noon**\n\n| Day | Temperature (°C) |\n| --- | --- |\n| Thursday | 17 |\n| Friday | 27 |\n| Saturday | 33 |\n| Sunday | 11 |\n| Monday | 18 |" } ] }, { "id": "3845", "image": "3845.png", "conversations": [ { "from": "human", "question": "Josiah went to the store and bought 3+7/10 pounds of potato salad. How much did he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the potato salad. Multiply the price per pound by the number of pounds.\n$5 × 3\\frac{7}{10} = $5 × 3.7 = $18.50\nHe spent $18.50.", "answer": "18.50", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| potato salad | $5 per lb |\n| green salad | $5 per lb |\n| macaroni salad | $3 per lb |\n| egg salad | $3 per lb |" } ] }, { "id": "3846", "image": "3846.png", "conversations": [ { "from": "human", "question": "A pet store owner had her staff count the number of fish in each tank. How many tanks have exactly 27 fish?\n" }, { "from": "gpt", "solution": "For the number 27, the stem is 2, and the leaf is 7. Find the row where the stem is 2. In that row, count all the leaves equal to 7.\n\nYou counted 0 leaves. 0 tanks have exactly27 fish.", "answer": "0", "table": "**Fish per tank**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 0, 1, 5, 8, 9 |\n| 3 | 7 |\n| 4 | 0, 6 |\n| 5 | 3, 5 |" } ] }, { "id": "3849", "image": "3849.png", "conversations": [ { "from": "human", "question": "Zack, who has six different fruit trees growing in his yard, kept track of how many pieces of fruit he picked this year. What fraction of the pieces of fruit picked were nectarines? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many nectarines were picked.\n\n70\n\nFind how many pieces of fruit were picked in total.\n\n54 + 70 + 11 + 79 + 48 + 36 = 298\n\nDivide 70 by298.\n\n\\frac{70}{298}\n\nReduce the fraction.\n\n\\frac{70}{298} → \\frac{35}{149}\n\n\\frac{35}{149} of nectarines were picked.", "answer": "35/149", "table": "**Pieces of fruit picked**\n\n| Fruits | Pieces of fruit |\n| --- | --- |\n| Peaches | 54 |\n| Nectarines | 70 |\n| Apples | 11 |\n| Plums | 79 |\n| Lemons | 48 |\n| Oranges | 36 |" } ] }, { "id": "3856", "image": "3856.png", "conversations": [ { "from": "human", "question": "A county agency recorded the money donated to several charitable causes over time. How much money was raised for parks in April?\n" }, { "from": "gpt", "solution": "First, find the row for parks. Then find the number in the April column.\n\nThis number is $7.00. $7 was raised for parks in April.", "answer": "7", "table": "**Donations received**\n\n| Cause | April | May |\n| --- | --- | --- |\n| Parks | $7 | $4 |\n| Animals | $15 | $17 |\n| Education | $18 | $18 |" } ] }, { "id": "3860", "image": "3860.png", "conversations": [ { "from": "human", "question": "Patty found a list of the number of roller coasters at each amusement park in the state. How many amusement parks have exactly 38 roller coasters?\n" }, { "from": "gpt", "solution": "For the number 38, the stem is 3, and the leaf is 8. Find the row where the stem is 3. In that row, count all the leaves equal to 8.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 amusement parks have exactly 38 roller coasters.", "answer": "4", "table": "**Roller coasters per amusement park**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0 |\n| 2 | 5, 9 |\n| 3 | 8, 8, 8, 8, 9 |\n| 4 | 0, 7 |" } ] }, { "id": "3863", "image": "3863.png", "conversations": [ { "from": "human", "question": "An author kept a log of how many pages he wrote in the past 5 days. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 10, 9, 10, 10\n\nFirst, arrange the numbers from least to greatest:\n\n9, 9, 10, 10, 10\n\nNow count how many times each number appears.\n\n9 appears 2 times.\n10 appears 3 times.\n\nThe number that appears most often is 10.\n\nThe mode is 10.", "answer": "10", "table": "**Pages written**\n\n| Day | Number of pages |\n| --- | --- |\n| Tuesday | 9 |\n| Wednesday | 10 |\n| Thursday | 9 |\n| Friday | 10 |\n| Saturday | 10 |" } ] }, { "id": "3865", "image": "3865.png", "conversations": [ { "from": "human", "question": "The transportation company tracked the number of train tickets sold in the past 4 days. On which day were the most train tickets sold?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 19.\n\nNow find the corresponding day. Wednesday corresponds to 19.", "answer": "Wednesday", "table": "**Train tickets sold**\n\n| Day | Number of tickets |\n| --- | --- |\n| Tuesday | 10 |\n| Wednesday | 19 |\n| Thursday | 11 |\n| Friday | 17 |" } ] }, { "id": "3870", "image": "3870.png", "conversations": [ { "from": "human", "question": "Several people compared how many Web pages they had visited. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 4, 3, 6, 5, 5, 6, 2\n\nFirst, find the greatest number. The greatest number is 7.\n\nNext, find the least number. The least number is 2.\n\nSubtract the least number from the greatest number:\n\n7 − 2 = 5\n\nThe range is 5.", "answer": "5", "table": "**Web pages visited**\n\n| Person | Number of Web pages |\n| --- | --- |\n| Sofia | 7 |\n| Danielle | 4 |\n| Tanner | 3 |\n| Riley | 6 |\n| Barbara | 5 |\n| Caden | 5 |\n| Hazel | 6 |\n| Leo | 2 |" } ] }, { "id": "3871", "image": "3871.png", "conversations": [ { "from": "human", "question": "Mark, who rents properties for a living, measures all the offices in a building he is renting. How many offices are at least 10 square meters but less than 40 square meters?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1, 2, and 3.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 offices are at least 10 square meters but less than 40 square meters.", "answer": "2", "table": "**Office sizes (square meters)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1, 7 |\n| 2 | |\n| 3 | |\n| 4 | 0, 7 |\n| 5 | 4 |\n| 6 | |\n| 7 | 3, 4 |" } ] }, { "id": "3876", "image": "3876.png", "conversations": [ { "from": "human", "question": "How much money does Pamela need to buy a watering can and 9 cans of paint?\n" }, { "from": "gpt", "solution": "Find the cost of 9 cans of paint.\n\n$13 × 9 = $117\n\nNow find the total cost.\n\n$15 + $117 = $132\n\nPamela needs $132.", "answer": "132", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| watering can | $15 |\n| rake | $21 |\n| can of paint | $13 |\n| lawn sprinkler | $20 |" } ] }, { "id": "3879", "image": "3879.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Tommy just missed the 11.00 A.M. bus at the city hall. How long does he have to wait until the next bus?\n" }, { "from": "gpt", "solution": "Find 11:00 A. M. in the row for the city hall.\n\nLook for the next bus in that row.\n\nThe next bus is at 11:30 A. M.\n\nFind the elapsed time. The elapsed time is 30 minutes.", "answer": "30 minutes", "table": "**Tour bus schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 | Column 5 |\n| --- | --- | --- | --- | --- |\n| science museum | 9:30 A.M. | 10:00 A.M. | 10:30 A.M. | 10:45 A.M. |\n| city hall | 10:30 A.M. | 11:00 A.M. | 11:30 A.M. | 11:45 A.M. |\n| old building | 11:00 A.M. | 11:30 A.M. | 12:00 P.M. | 12:15 P.M. |\n| landmark sculpture | 11:30 A.M. | 12:00 P.M. | 12:30 P.M. | 12:45 P.M. |\n| the aquarium | 12:15 P.M. | 12:45 P.M. | 1:15 P.M. | 1:30 P.M. |\n| the riverfront | 1:15 P.M. | 1:45 P.M. | 2:15 P.M. | 2:30 P.M. |" } ] }, { "id": "3882", "image": "3882.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{11 - 8}{10 - 9}\n = \\frac{3}{1}\n = 3\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{19 - 8}{11 - 9}\n = \\frac{11}{2}\n = 5\\frac{1}{2}\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 9 | 8 |\n| 10 | 11 |\n| 11 | 19 |" } ] }, { "id": "3885", "image": "3885.png", "conversations": [ { "from": "human", "question": "A crayon factory monitored the number of broken crayons per box during the past day. How many boxes had fewer than 60 broken crayons?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 3, 4, and 5.\n\nYou counted 9 leaves, which are blue in the stem-and-leaf plot above. 9 boxes had fewer than 60 broken crayons.", "answer": "9", "table": "**Broken crayons per box**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 1, 2, 3, 5, 6, 6 |\n| 4 | 4, 5 |\n| 5 | 1 |\n| 6 | 6, 6, 8, 8, 8 |\n| 7 | 3, 3, 4 |\n| 8 | 1, 4, 4 |\n| 9 | 0, 0 |" } ] }, { "id": "3887", "image": "3887.png", "conversations": [ { "from": "human", "question": "Alan went to the store. He bought 5 kilograms of orange chocolate. How much did he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the orange chocolate. Multiply the price per kilogram by the number of kilograms.\n\n$2.66 × 5 = $13.30\n\nHe spent $13.30.", "answer": "13.30", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| white chocolate | $2.24/kg |\n| orange chocolate | $2.66/kg |\n| bittersweet chocolate | $2.90/kg |\n| semisweet chocolate | $1.75/kg |\n| dark chocolate | $2.28/kg |" } ] }, { "id": "3900", "image": "3900.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $1,005, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $1,005, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $615 | 15,700 | 6,500 |\n| $745 | 14,900 | 8,100 |\n| $875 | 14,100 | 9,700 |\n| $1,005 | 13,300 | 11,300 |\n| $1,135 | 12,500 | 12,900 |" } ] }, { "id": "3901", "image": "3901.png", "conversations": [ { "from": "human", "question": "Convinced that she could do well as a competitor, Wanda tracked the scores on a TV game show over the course of a week. Which score did the fewest people receive?\n" }, { "from": "gpt", "solution": "Look at the frequency column. Find the least frequency. The least frequency is 2, which is in the row for 6. The fewest people scored 6.", "answer": "6", "table": "**Scores on a TV game show**\n\n| Score | Frequency |\n| --- | --- |\n| 5 | 17 |\n| 6 | 2 |\n| 7 | 18 |\n| 8 | 14 |\n| 9 | 15 |\n| 10 | 20 |" } ] }, { "id": "3906", "image": "3906.png", "conversations": [ { "from": "human", "question": "How much money does Becky need to buy a pair of shoes and a pair of sweat pants?\n" }, { "from": "gpt", "solution": "Add the price of a pair of shoes and the price of a pair of sweat pants:\n\n$19.35 + $19.26 = $38.61\n\nBecky needs $38.61.", "answer": "38.61", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pair of shoes | $19.35 |\n| yellow skirt | $11.38 |\n| pink sweater | $24.66 |\n| pair of sweat pants | $19.26 |\n| pair of tennis shoes | $34.14 |\n| black skirt | $15.46 |" } ] }, { "id": "3918", "image": "3918.png", "conversations": [ { "from": "human", "question": "On a camping trip, Shelley kept a log of the types of snakes she saw. She noted their colors and approximate lengths. What is the probability that a randomly selected snake is bright orange and 2 feet long? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the snake is bright orange\" and B be the event \"the snake is 2 feet long\".\nTo find the probability that a snake is bright orange and 2 feet long, first identify the sample space and the event.\nThe outcomes in the sample space are the different snakes. Each snake is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the snake is bright orange and 2 feet long\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the snake is bright orange and 2 feet long\", so look at the table to see how many snakes are bright orange and 2 feet long.\nThe number of snakes that are bright orange and 2 feet long is 8.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of snakes.\n2 + 2 + 5 + 8 = 17\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{8}{17}\nThe probability that a snake is bright orange and 2 feet long is \\frac{8}{17}.", "answer": "8/17", "table": "| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| | 1 foot long | 2 feet long |\n| Red | 2 | 5 |\n| Bright orange | 2 | 8 |" } ] }, { "id": "3920", "image": "3920.png", "conversations": [ { "from": "human", "question": "A coffee shop monitored the number of cups of coffee sold each day. How many cups in total did the coffee shop sell on Wednesday and Friday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nWednesday: 147\nFriday: 134\n\nNow add: 147 + 134 = 281.\n\nThe coffee shop sold 281 cups of coffee on Wednesday and Friday.", "answer": "281", "table": "**Cups of coffee sold**\n\n| Day | Number of cups |\n| --- | --- |\n| Tuesday | 347 |\n| Wednesday | 147 |\n| Thursday | 109 |\n| Friday | 134 |" } ] }, { "id": "3922", "image": "3922.png", "conversations": [ { "from": "human", "question": "The members of the track team compared how many miles they ran last week. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 3, 6, 6, 3\n\nFirst, arrange the numbers from least to greatest:\n\n3, 3, 6, 6, 6\n\nNow count how many times each number appears.\n\n3 appears 2 times.\n6 appears 3 times.\n\nThe number that appears most often is 6.\n\nThe mode is 6.", "answer": "6", "table": "**Running miles**\n\n| Name | Miles |\n| --- | --- |\n| Kinsley | 6 |\n| Aaliyah | 3 |\n| Grayson | 6 |\n| Heather | 6 |\n| Camilla | 3 |" } ] }, { "id": "3926", "image": "3926.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{9 - 18}{17 - 16}\n = \\frac{-9}{1}\n = -9\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{2 - 18}{18 - 16}\n = \\frac{-16}{2}\n = -8\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 16 | 18 |\n| 17 | 9 |\n| 18 | 2 |" } ] }, { "id": "3928", "image": "3928.png", "conversations": [ { "from": "human", "question": "A bookstore employee looked up how many books were sold each month. In which month did the bookstore sell the fewest books?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 436.\n\nNow find the corresponding month. August corresponds to 436.", "answer": "August", "table": "**Number of books sold**\n\n| Month | Number of books |\n| --- | --- |\n| July | 464 |\n| August | 436 |\n| September | 463 |\n| October | 443 |" } ] }, { "id": "3930", "image": "3930.png", "conversations": [ { "from": "human", "question": "How much money does Vincent need to buy a train ticket to St. Louis, a train ticket to Los Angeles, and a train ticket to Seattle?\n" }, { "from": "gpt", "solution": "Find the total cost of a train ticket to St. Louis, a train ticket to Los Angeles, and a train ticket to Seattle.\n\n$672 + $312 + $563 = $1,547\n\nVincent needs $1,547.", "answer": "1,547", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| train ticket to St. Louis | $672 |\n| train ticket to San Francisco | $648 |\n| train ticket to Los Angeles | $312 |\n| train ticket to Seattle | $563 |" } ] }, { "id": "3933", "image": "3933.png", "conversations": [ { "from": "human", "question": "Mark buys 0.6 pounds of milk chocolate chips. What is the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the milk chocolate chips. Multiply the price per pound by the number of pounds.\n$6 × 0.6 = $3.60\nThe total cost is $3.60.", "answer": "3.60", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| dark chocolate chips | $5 per lb |\n| butterscotch chips | $3 per lb |\n| white chocolate chips | $7 per lb |\n| milk chocolate chips | $6 per lb |" } ] }, { "id": "3936", "image": "3936.png", "conversations": [ { "from": "human", "question": "How much money does Dave need to buy a shirt signed by a famous soccer player, a photograph signed by a famous movie star, and a jersey signed by a famous hockey player?\n" }, { "from": "gpt", "solution": "Find the total cost of a shirt signed by a famous soccer player, a photograph signed by a famous movie star, and a jersey signed by a famous hockey player.\n\n$1,785.00 + $4,463.00 + $2,448.00 = $8,696.00\n\nDave needs $8,696.00.", "answer": "8,696", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| bat signed by a famous baseball player | $9,504.00 |\n| book signed by a famous author | $9,035.00 |\n| shirt signed by a famous soccer player | $1,785.00 |\n| photograph signed by a famous movie star | $4,463.00 |\n| jersey signed by a famous hockey player | $2,448.00 |" } ] }, { "id": "3937", "image": "3937.png", "conversations": [ { "from": "human", "question": "For a social studies project, Julia counted the number of classrooms in each school in the city. What is the smallest number of classrooms?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 4.\n\nNow find the lowest leaf in the first row. The lowest leaf is 1.\n\nThe smallest number of classrooms has a stem of 4 and a leaf of 1. Write the stem first, then the leaf: 41.\n\nThe smallest number of classrooms is 41 classrooms.", "answer": "41", "table": "**Classrooms per school**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 1, 1, 2, 3, 4 |\n| 5 | 1, 2, 3, 6 |\n| 6 | 0, 3, 3, 3, 6, 8 |\n| 7 | 3, 6 |\n| 8 | 9 |" } ] }, { "id": "3943", "image": "3943.png", "conversations": [ { "from": "human", "question": "Tucker bought 1 kilogram of coarse gravel and 3 kilograms of white sand. How much did he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the coarse gravel. Multiply:\n\n$1.62 × 1 = $1.62\n\nFind the cost of the white sand. Multiply:\n\n$2.14 × 3 = $6.42\n\nNow find the total cost by adding:\n\n$1.62 + $6.42 = $8.04\n\nHe spent $8.04.", "answer": "8.04", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| coarse gravel | $1.62/kg |\n| pebbles | $2.26/kg |\n| white sand | $2.14/kg |\n| rocks | $1.28/kg |\n| fine gravel | $1.57/kg |" } ] }, { "id": "3947", "image": "3947.png", "conversations": [ { "from": "human", "question": "Elizabeth has $6.00. Does she have enough to buy a yellow pepper and a watermelon?\n" }, { "from": "gpt", "solution": "Add the price of a yellow pepper and the price of a watermelon:\n\n$1.35 + $4.28 = $5.63\n\n$5.63 is less than $6.00. Elizabeth does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| red pepper | $1.01 |\n| watermelon | $4.28 |\n| cucumber | $1.24 |\n| yellow pepper | $1.35 |" } ] }, { "id": "3949", "image": "3949.png", "conversations": [ { "from": "human", "question": "A machine at the candy factory dispensed different numbers of lemon-flavored candies into various bags. What is the smallest number of lemon-flavored candies?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 1.\n\nNow find the lowest leaf in the first row. The lowest leaf is 5.\n\nThe smallest number of lemon-flavored candies has a stem of 1 and a leaf of 5. Write the stem first, then the leaf: 15.\n\nThe smallest number of lemon-flavored candies is 15 lemon-flavored candies.", "answer": "15", "table": "**Lemon-flavored candies per bag**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 5 |\n| 2 | 0 |\n| 3 | 7, 8, 9 |\n| 4 | |\n| 5 | |\n| 6 | 1 |\n| 7 | 4, 6 |\n| 8 | 0 |\n| 9 | 0 |" } ] }, { "id": "3951", "image": "3951.png", "conversations": [ { "from": "human", "question": "Tyrone's campground is close to two hiking trails with scenic destinations. One trail ends at an underground lake in the bottom of a small cave. The other trail ends at a mountain peak. The elevation of each destination is shown on the campground map. Which trail's destination is farther from sea level?\n" }, { "from": "gpt", "solution": "The underground lake's elevation is negative, so it is below sea level. The mountain peak's elevation is positive, so it is above sea level.\nTo find the destination farther from sea level, use absolute value. Absolute value tells you how far each destination is from sea level.\nUnderground lake: |-350| = 350\nMountain peak: |325| = 325\nThe underground lake is 350 feet below sea level, and the mountain peak is only 325 feet above sea level. The underground lake is farther from sea level.", "answer": "underground lake", "table": "| Destination | Elevation (ft.) |\n| --- | --- |\n| Underground lake | -350 |\n| Mountain peak | 325 |" } ] }, { "id": "3956", "image": "3956.png", "conversations": [ { "from": "human", "question": "Miss Lawrence ran a sit-up competition among her P.E. students and monitored how many sit-ups each students could do. How many people did at least 30 sit-ups but fewer than 90 sit-ups?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 3, 4, 5, 6, 7, and 8.\n\nYou counted 22 leaves, which are blue in the stem-and-leaf plot above. 22 people did at least 30 sit-ups but fewer than 90 sit-ups.", "answer": "22", "table": "**Sit-up competition (number of sit-ups)**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 1 |\n| 3 | 1, 1, 8 |\n| 4 | 2 |\n| 5 | 5, 6, 6, 8, 9 |\n| 6 | 2, 4, 7 |\n| 7 | 0, 0, 0, 4, 5, 7, 9 |\n| 8 | 1, 4, 7 |" } ] }, { "id": "3961", "image": "3961.png", "conversations": [ { "from": "human", "question": "A machine dispensed red gumdrops into bags of various sizes. How many bags had at least 40 red gumdrops?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 4, 5, 6, and 7.\n\nYou counted 15 leaves, which are blue in the stem-and-leaf plot above. 15 bags had at least 40 red gumdrops.", "answer": "15", "table": "**Red gumdrops per bag**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 0, 2, 6, 7 |\n| 5 | 0, 2, 6, 8, 8, 9 |\n| 6 | 0, 6 |\n| 7 | 6, 6, 8 |" } ] }, { "id": "3968", "image": "3968.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $635, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $635, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $565 | 9,900 | 9,300 |\n| $635 | 8,300 | 11,300 |\n| $705 | 6,700 | 13,300 |\n| $775 | 5,100 | 15,300 |\n| $845 | 3,500 | 17,300 |" } ] }, { "id": "3970", "image": "3970.png", "conversations": [ { "from": "human", "question": "Mr. McLean, a P.E. teacher, wrote down how much weight each of his students could lift. How many people lifted at least 20 pounds but less than 40 pounds?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 2 and 3.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 people lifted at least 20 pounds but less than 40 pounds.", "answer": "2", "table": "**Weight lifting results (lbs)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1 |\n| 2 | 6, 8 |\n| 3 | |\n| 4 | |\n| 5 | 4 |\n| 6 | 7 |\n| 7 | 0, 3, 6 |\n| 8 | 7 |" } ] }, { "id": "3975", "image": "3975.png", "conversations": [ { "from": "human", "question": "How much money does Franklin need to buy 9 elastic bands and 6 balls of twine?\n" }, { "from": "gpt", "solution": "Find the cost of 9 elastic bands.\n\n$0.44 × 9 = $3.96\n\nFind the cost of 6 balls of twine.\n\n$0.40 × 6 = $2.40\n\nNow find the total cost.\n\n$3.96 + $2.40 = $6.36\n\nFranklin needs $6.36.", "answer": "6.36", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| roll of electrical tape | $0.75 |\n| elastic band | $0.44 |\n| ball of twine | $0.40 |\n| spool of gold wire | $0.79 |\n| short steel screw | $0.28 |\n| piece of plastic pipe | $0.71 |" } ] }, { "id": "3978", "image": "3978.png", "conversations": [ { "from": "human", "question": "Each bracelet has 10 emeralds. How many emeralds are on 6 bracelets?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 60 emeralds on 6 bracelets.", "answer": "60", "table": "| Number of bracelets | Number of emeralds |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | 40 |\n| 5 | 50 |\n| 6 | ? |" } ] }, { "id": "3984", "image": "3984.png", "conversations": [ { "from": "human", "question": "At a charity basketball shootout, excited fans counted the baskets and misses made by each of the team mascots. How many more baskets did Annie Armadillo have than Barry Bulldog?\n" }, { "from": "gpt", "solution": "Find the Baskets column. Find the numbers in this column for Annie Armadillo and Barry Bulldog.\n\nAnnie Armadillo: 5\nBarry Bulldog: 1\n\nNow subtract:\n\n5 − 1 = 4\n\nAnnie Armadillo had 4 more baskets than Barry Bulldog.", "answer": "4", "table": "**Basketball team mascot shooting contest**\n\n| Mascot | Baskets | Misses |\n| --- | --- | --- |\n| Rhianna Rhino | 16 | 18 |\n| Tina Tiger | 13 | 11 |\n| Annie Armadillo | 5 | 7 |\n| Barry Bulldog | 1 | 19 |" } ] }, { "id": "3985", "image": "3985.png", "conversations": [ { "from": "human", "question": "Every summer, Felix goes on a week-long canoe trip with his childhood camp friends. After the trip, he usually purchases some oars from the destination city. His collection of oars is organized by year and type of wood. What is the probability that a randomly selected oar was made from spruce wood and was purchased in 2010? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the oar was made from spruce wood\" and B be the event \"the oar was purchased in 2010\".\nTo find the probability that a oar was made from spruce wood and was purchased in 2010, first identify the sample space and the event.\nThe outcomes in the sample space are the different oars. Each oar is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the oar was made from spruce wood and was purchased in 2010\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the oar was made from spruce wood and was purchased in 2010\", so look at the table to see how many oars were made from spruce wood and were purchased in 2010.\nThe number of oars that were made from spruce wood and were purchased in 2010 is 3.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of oars.\n3 + 3 + 2 + 3 = 11\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{3}{11}\nThe probability that a oar was made from spruce wood and was purchased in 2010 is \\frac{3}{11}.", "answer": "3/11", "table": "| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| | 2010 | 2011 |\n| Spruce wood | 3 | 2 |\n| Ash wood | 3 | 3 |" } ] }, { "id": "3989", "image": "3989.png", "conversations": [ { "from": "human", "question": "How much money does Brittany need to buy a long red bead, a round silver bead, and a square yellow bead?\n" }, { "from": "gpt", "solution": "Find the total cost of a long red bead, a round silver bead, and a square yellow bead.\n\n$0.02 + $0.02 + $0.05 = $0.09\n\nBrittany needs $0.09.", "answer": "0.09", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| round silver bead | $0.02 |\n| long red bead | $0.02 |\n| purple and red clay bead | $0.02 |\n| square yellow bead | $0.05 |\n| small pink bead | $0.06 |\n| shiny metal bead | $0.08 |" } ] }, { "id": "3990", "image": "3990.png", "conversations": [ { "from": "human", "question": "For a math project, students in Mrs. Finley's class recorded the number of pets that each student has. How many students have fewer than 4 pets?\n" }, { "from": "gpt", "solution": "Find the rows for 0, 1, 2, and 3 pets. Add the frequencies for these rows.\n\nAdd:\n\n3 + 7 + 1 + 8 = 19\n\n19 students have fewer than 4 pets.", "answer": "19", "table": "**Pets**\n\n| Number of pets | Frequency |\n| --- | --- |\n| 0 | 3 |\n| 1 | 7 |\n| 2 | 1 |\n| 3 | 8 |\n| 4 | 17 |\n| 5 | 11 |" } ] }, { "id": "3991", "image": "3991.png", "conversations": [ { "from": "human", "question": "Philip has $97.30. How much money will Philip have left if he buys a hockey ticket and a car show ticket?\n" }, { "from": "gpt", "solution": "Find the total cost of a hockey ticket and a car show ticket.\n\n$44.19 + $22.85 = $67.04\n\nNow subtract the total cost from the starting amount.\n\n$97.30 - $67.04 = $30.26\n\nPhilip will have $30.26 left.", "answer": "30.26", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| hockey ticket | $44.19 |\n| play ticket | $36.40 |\n| car show ticket | $22.85 |\n| concert ticket | $72.24 |\n| ballet ticket | $61.41 |" } ] }, { "id": "4001", "image": "4001.png", "conversations": [ { "from": "human", "question": "How much money does Amy need to buy 8 fleece blankets?\n" }, { "from": "gpt", "solution": "Find the total cost of 8 fleece blankets by multiplying 8 times the price of a fleece blanket.\n\n$8.86 × 8 = $70.88\n\nAmy needs $70.88.", "answer": "70.88", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| beach towel | $6.94 |\n| fleece blanket | $8.86 |\n| green kitchen towel | $4.38 |\n| flannel sheet | $9.08 |\n| yellow bath towel | $4.20 |" } ] }, { "id": "4003", "image": "4003.png", "conversations": [ { "from": "human", "question": "In science class, Jill is learning about places with extreme temperatures. She learns that the highest temperature ever recorded was in Death Valley, California. She also learns that the lowest temperature ever recorded was in Vostok Station, Antarctica. The record-setting temperatures of the two locations are shown in the table. Which location's temperature was further from zero?\n" }, { "from": "gpt", "solution": "A positive number means the temperature was above zero. A negative number means the temperature was below zero.\nTo find which temperature was further from zero, use absolute value. Absolute value tells you how far a temperature is from zero.\nDeath Valley: |134| = 134\nVostok Station: |-128| = 128\nThe temperature of Death Valley was further from zero. It was 134 degrees above zero.", "answer": "Death Valley", "table": "| Location | Temperature (°F) |\n| --- | --- |\n| Death Valley | 134 |\n| Vostok Station | -128 |" } ] }, { "id": "4007", "image": "4007.png", "conversations": [ { "from": "human", "question": "Danielle counted the number of words per page in her new book. What is the smallest number of words?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 4.\n\nNow find the lowest leaf in the first row. The lowest leaf is 1.\n\nThe smallest number of words has a stem of 4 and a leaf of 1. Write the stem first, then the leaf: 41.\n\nThe smallest number of words is 41 words.", "answer": "41", "table": "**Words per page**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 1, 6 |\n| 5 | 1, 2, 3, 7 |\n| 6 | 0, 2, 4 |\n| 7 | 0, 5 |\n| 8 | 2, 4 |" } ] }, { "id": "4012", "image": "4012.png", "conversations": [ { "from": "human", "question": "A girl compared the ages of her cousins. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n4, 6, 14, 5, 11\n\nFirst, arrange the numbers from least to greatest:\n\n4, 5, 6, 11, 14\n\nNow find the number in the middle.\n\n4, 5, 6, 11, 14\n\nThe number in the middle is 6.\n\nThe median is 6.", "answer": "6", "table": "**Ages of cousins**\n\n| Name | Age (years) |\n| --- | --- |\n| Todd | 4 |\n| Eddie | 6 |\n| Kelly | 14 |\n| Porter | 5 |\n| Roy | 11 |" } ] }, { "id": "4017", "image": "4017.png", "conversations": [ { "from": "human", "question": "Edna graphed the amount of snow that fell in the last 7 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n8, 3, 5, 9, 3, 6, 8\n\nFirst, find the greatest number. The greatest number is 9.\n\nNext, find the least number. The least number is 3.\n\nSubtract the least number from the greatest number:\n\n9 − 3 = 6\n\nThe range is 6.", "answer": "6", "table": "**Daily snowfall**\n\n| Day | Snowfall (inches) |\n| --- | --- |\n| Tuesday | 8 |\n| Wednesday | 3 |\n| Thursday | 5 |\n| Friday | 9 |\n| Saturday | 3 |\n| Sunday | 6 |\n| Monday | 8 |" } ] }, { "id": "4020", "image": "4020.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $690, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $690, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $540 | 19,900 | 5,800 |\n| $590 | 15,400 | 8,000 |\n| $640 | 10,900 | 10,200 |\n| $690 | 6,400 | 12,400 |\n| $740 | 1,900 | 14,600 |" } ] }, { "id": "4035", "image": "4035.png", "conversations": [ { "from": "human", "question": "Each tin has 2 pretzels. How many pretzels are in 6 tins?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 12 pretzels in 6 tins.", "answer": "12", "table": "| Number of tins | Number of pretzels |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | 6 |\n| 4 | 8 |\n| 5 | 10 |\n| 6 | ? |" } ] }, { "id": "4039", "image": "4039.png", "conversations": [ { "from": "human", "question": "An environmental agency examined how many trees were planted by different organizations. Which organization planted the fewest trees?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 526.\n\nNow find the corresponding organization. Acorns to Oaks corresponds to 526.", "answer": "Acorns to Oaks", "table": "**Trees planted**\n\n| Organization | Number of trees planted |\n| --- | --- |\n| Make it Green | 565 |\n| Dreaming Green | 552 |\n| Acorns to Oaks | 526 |\n| New Planet | 562 |" } ] }, { "id": "4043", "image": "4043.png", "conversations": [ { "from": "human", "question": "How much money does Cara need to buy a robot stamp and a bird postcard?\n" }, { "from": "gpt", "solution": "Add the price of a robot stamp and the price of a bird postcard:\n\n$0.18 + $0.24 = $0.42\n\nCara needs $0.42.", "answer": "0.42", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| deer postcard | $0.42 |\n| bird postcard | $0.24 |\n| robot stamp | $0.18 |\n| sheet of mountain stamps | $0.59 |\n| large cardboard box | $0.84 |\n| long white envelope | $0.19 |" } ] }, { "id": "4049", "image": "4049.png", "conversations": [ { "from": "human", "question": "An archer recalled how many times he hit the bull's-eye in the past 5 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n3, 5, 7, 2, 8\n\nFirst, arrange the numbers from least to greatest:\n\n2, 3, 5, 7, 8\n\nNow find the number in the middle.\n\n2, 3, 5, 7, 8\n\nThe number in the middle is 5.\n\nThe median is 5.", "answer": "5", "table": "**Bull's-eyes**\n\n| Day | Number of bull's-eyes |\n| --- | --- |\n| Wednesday | 3 |\n| Thursday | 5 |\n| Friday | 7 |\n| Saturday | 2 |\n| Sunday | 8 |" } ] }, { "id": "4074", "image": "4074.png", "conversations": [ { "from": "human", "question": "For an economics project, Connor determined the cost of ferry rides for bicycles and cars. On the Seattle-Bremerton ferry, how much higher is the fare for a car than for a bicycle?\n" }, { "from": "gpt", "solution": "Find the Seattle-Bremerton row. Find the numbers in this row for car and bicycle.\n\ncar: $12.00\nbicycle: $8.00\n\nNow subtract:\n\n$12.00 − $8.00 = $4.00\n\nOn the Seattle-Bremerton ferry, the fare for a car is $4 higher than the fare for a bicycle.", "answer": "4", "table": "**Ferry fares**\n\n| Ferry | Car | Bicycle |\n| --- | --- | --- |\n| Fauntleroy-Vashon | $15 | $5 |\n| Seattle-Bremerton | $12 | $8 |\n| Ocracoke | $15 | $3 |\n| Mukilteu-Clinton | $7 | $5 |\n| Southport-Fort Fisher | $5 | $2 |" } ] }, { "id": "4079", "image": "4079.png", "conversations": [ { "from": "human", "question": "Ellen has $153.00. Does she have enough to buy a rug and a ceramic vase?\n" }, { "from": "gpt", "solution": "Add the price of a rug and the price of a ceramic vase:\n\n$76.22 + $84.16 = $160.38\n\n$160.38 is more than $153.00. Ellen does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| chandelier | $99.64 |\n| crystal vase | $93.86 |\n| crystal sculpture | $57.65 |\n| ceramic vase | $84.16 |\n| silver coat rack | $68.61 |\n| rug | $76.22 |" } ] }, { "id": "4080", "image": "4080.png", "conversations": [ { "from": "human", "question": "Worried about going over his storage limit, Victor monitored the number of undeleted voicemail messages stored on his phone each day. According to the table, what was the rate of change between Wednesday and Thursday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{10 voicemail messages - 13 voicemail messages}{1 day}\n = \\frac{-3 voicemail messages}{1 day}\n = -3 voicemail messages per day\nThe rate of change between Wednesday and Thursday was - 3 voicemail messages per day.", "answer": "-3", "table": "**Voicemail messages on Victor's phone**\n\n| Day | Voicemail messages |\n| --- | --- |\n| Sunday | 6 |\n| Monday | 7 |\n| Tuesday | 11 |\n| Wednesday | 13 |\n| Thursday | 10 |" } ] }, { "id": "4085", "image": "4085.png", "conversations": [ { "from": "human", "question": "A printing shop kept a log of how many sheets of paper were used in the past 3 days. How many sheets of paper in total did the printing shop use on Saturday and Monday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nSaturday: 5,115\nMonday: 1,171\n\nNow add: 5,115 + 1,171 = 6,286.\n\nThe printing shop used 6,286 sheets of paper on Saturday and Monday.", "answer": "6,286", "table": "**Sheets of paper used**\n\n| Day | Number of sheets of paper |\n| --- | --- |\n| Saturday | 5,115 |\n| Sunday | 3,335 |\n| Monday | 1,171 |" } ] }, { "id": "4091", "image": "4091.png", "conversations": [ { "from": "human", "question": "The train conductor made sure to count the number of passengers on each train. How many trains had exactly 41 passengers?\n" }, { "from": "gpt", "solution": "For the number 41, the stem is 4, and the leaf is 1. Find the row where the stem is 4. In that row, count all the leaves equal to 1.\n\nYou counted 1 leaf, which is blue in the stem-and-leaf plot above. 1 train had exactly 41 passengers.", "answer": "1", "table": "**Passengers per train**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1 |\n| 2 | 4 |\n| 3 | 1, 5, 6, 6 |\n| 4 | 0, 1, 7 |\n| 5 | 4, 7, 8, 8, 9 |" } ] }, { "id": "4093", "image": "4093.png", "conversations": [ { "from": "human", "question": "Alice wrote down how many glasses of water she drank during the past 6 days. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n5, 2, 4, 7, 4, 8\n\nFirst, count how many numbers are in the group.\n\nThere are 6 numbers.\n\nNow add all the numbers together:\n\n5 + 2 + 4 + 7 + 4 + 8 = 30\n\nNow divide the sum by the number of numbers:\n\n30 ÷ 6 = 5\n\nThe mean is 5.", "answer": "5", "table": "**Glasses of water**\n\n| Day | Number of glasses |\n| --- | --- |\n| Sunday | 5 |\n| Monday | 2 |\n| Tuesday | 4 |\n| Wednesday | 7 |\n| Thursday | 4 |\n| Friday | 8 |" } ] }, { "id": "4094", "image": "4094.png", "conversations": [ { "from": "human", "question": "The employees at Valentina's Construction monitored the number of cracked window panes in each shipment they received. What is the largest number of cracked window panes?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 7.\n\nNow find the highest leaf in the last row. The highest leaf is 2.\n\nThe largest number of cracked window panes has a stem of 7 and a leaf of 2. Write the stem first, then the leaf: 72.\n\nThe largest number of cracked window panes is 72 cracked window panes.", "answer": "72", "table": "**Cracked window panes per shipment**\n\n| Stem | Leaf |\n| --- | --- |\n| 0 | 4, 7, 8 |\n| 1 | 6, 7 |\n| 2 | 1, 4, 6 |\n| 3 | 5 |\n| 4 | |\n| 5 | 4, 7 |\n| 6 | 6 |\n| 7 | 2 |" } ] }, { "id": "4096", "image": "4096.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{19 - 20}{5 - 4}\n = \\frac{-1}{1}\n = -1\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{18 - 19}{6 - 5}\n = \\frac{-1}{1}\n = -1\nThe two rates of change are the same.\n1.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 4 | 20 |\n| 5 | 19 |\n| 6 | 18 |" } ] }, { "id": "4109", "image": "4109.png", "conversations": [ { "from": "human", "question": "Kenneth has $15.00. How much money will Kenneth have left if he buys a bowl of melon and a breakfast burrito?\n" }, { "from": "gpt", "solution": "Find the total cost of a bowl of melon and a breakfast burrito.\n\n$5.00 + $4.00 = $9.00\n\nNow subtract the total cost from the starting amount.\n\n$15.00 - $9.00 = $6.00\n\nKenneth will have $6.00 left.", "answer": "6", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| buttermilk pancakes | $4.00 |\n| breakfast burrito | $4.00 |\n| bowl of melon | $5.00 |\n| spinach omelette | $8.00 |" } ] }, { "id": "4113", "image": "4113.png", "conversations": [ { "from": "human", "question": "Layla kept track of how many kilometers she walked during the past 7 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n12, 7, 14, 8, 12, 1, 0\n\nFirst, find the greatest number. The greatest number is 14.\n\nNext, find the least number. The least number is 0.\n\nSubtract the least number from the greatest number:\n\n14 − 0 = 14\n\nThe range is 14.", "answer": "14", "table": "**Kilometers walked**\n\n| Day | Kilometers |\n| --- | --- |\n| Tuesday | 12 |\n| Wednesday | 7 |\n| Thursday | 14 |\n| Friday | 8 |\n| Saturday | 12 |\n| Sunday | 1 |\n| Monday | 0 |" } ] }, { "id": "4114", "image": "4114.png", "conversations": [ { "from": "human", "question": "How much money does Ayana need to buy a book about cars, a book about art, and a book about ballet?\n" }, { "from": "gpt", "solution": "Find the total cost of a book about cars, a book about art, and a book about ballet.\n\n$9.00 + $4.00 + $2.00 = $15.00\n\nAyana needs $15.00.", "answer": "15", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| book about art | $4.00 |\n| book about cars | $9.00 |\n| book about reptiles | $8.00 |\n| book about dogs | $2.00 |\n| book about basketball | $1.00 |\n| book about ballet | $2.00 |" } ] }, { "id": "4115", "image": "4115.png", "conversations": [ { "from": "human", "question": "Linda has $6.00. Does she have enough to buy a dog leash and a bag of birdseed?\n" }, { "from": "gpt", "solution": "Add the price of a dog leash and the price of a bag of birdseed:\n\n$3.00 + $3.00 = $6.00\n\nSince Linda has $6.00, she has just enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| fish bowl | $7.00 |\n| dog bowl | $5.00 |\n| bag of birdseed | $3.00 |\n| dog leash | $3.00 |\n| bag of cat treats | $2.00 |" } ] }, { "id": "4117", "image": "4117.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does the bobsled event end?\n" }, { "from": "gpt", "solution": "Find the bobsled event on the schedule. Find the end time for the bobsled event.\n\nbobsled: 1:10 P. M.", "answer": "1:10 P.M.", "table": "**Winter Olympics schedule**\n\n| Event | Begin | End |\n| --- | --- | --- |\n| cross-country skiing | 10:55 A.M. | 12:10 P.M. |\n| figure skating | 11:10 A.M. | 12:35 P.M. |\n| bobsled | 12:10 P.M. | 1:10 P.M. |\n| ice hockey | 12:25 P.M. | 3:50 P.M. |\n| luge | 3:10 P.M. | 7:25 P.M. |\n| snowboarding | 6:30 P.M. | 9:55 P.M. |" } ] }, { "id": "4122", "image": "4122.png", "conversations": [ { "from": "human", "question": "How much more does a chandelier cost than a rug?\n" }, { "from": "gpt", "solution": "Subtract the price of a rug from the price of a chandelier.\n\n$99.86 - $85.91 = $13.95\n\nA chandelier costs $13.95 more than a rug.", "answer": "13.95", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| chandelier | $99.86 |\n| crystal sculpture | $70.80 |\n| rug | $85.91 |\n| ceramic vase | $79.06 |" } ] }, { "id": "4125", "image": "4125.png", "conversations": [ { "from": "human", "question": "A high school basketball coach counted the number of points his team scored each game. How many games had exactly 16 points?\n" }, { "from": "gpt", "solution": "For the number 16, the stem is 1, and the leaf is 6. Find the row where the stem is 1. In that row, count all the leaves equal to 6.\n\nYou counted 0 leaves. 0 games had exactly16 points.", "answer": "0", "table": "**Points per game**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 2, 8 |\n| 2 | 2 |\n| 3 | 0, 1 |\n| 4 | |\n| 5 | |\n| 6 | |\n| 7 | 0 |" } ] }, { "id": "4133", "image": "4133.png", "conversations": [ { "from": "human", "question": "Ann wants to buy 4/5 of a pound of vanilla ice cream. How much will she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the vanilla ice cream. Multiply the price per pound by the number of pounds.\n$6 × \\frac{4}{5} = $6 × 0.8 = $4.80\nShe will spend $4.80.", "answer": "4.80", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| butter pecan ice cream | $2/pound |\n| Neapolitan ice cream | $6/pound |\n| pistachio ice cream | $6/pound |\n| vanilla ice cream | $6/pound |" } ] }, { "id": "4134", "image": "4134.png", "conversations": [ { "from": "human", "question": "An author recorded how many words she wrote in the past 5 days. How many words in total did the author write on Monday and Wednesday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nMonday: 808\nWednesday: 858\n\nNow add: 808 + 858 = 1,666.\n\nThe author wrote 1,666 words on Monday and Wednesday.", "answer": "1,666", "table": "**Words written**\n\n| Day | Number of words |\n| --- | --- |\n| Monday | 808 |\n| Tuesday | 707 |\n| Wednesday | 858 |\n| Thursday | 387 |\n| Friday | 143 |" } ] }, { "id": "4139", "image": "4139.png", "conversations": [ { "from": "human", "question": "Some friends compared the sizes of their sticker collections. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n57, 71, 61, 73, 74, 71, 61, 60\n\nFirst, find the greatest number. The greatest number is 74.\n\nNext, find the least number. The least number is 57.\n\nSubtract the least number from the greatest number:\n\n74 − 57 = 17\n\nThe range is 17.", "answer": "17", "table": "**Sticker collections**\n\n| Name | Number of stickers |\n| --- | --- |\n| Kurt | 57 |\n| Marie | 71 |\n| Albert | 61 |\n| Felipe | 73 |\n| Cody | 74 |\n| Hakim | 71 |\n| Jen | 61 |\n| Todd | 60 |" } ] }, { "id": "4152", "image": "4152.png", "conversations": [ { "from": "human", "question": "How much money does Russell need to buy a cookbook, a mystery novel, and a map of Africa?\n" }, { "from": "gpt", "solution": "Find the total cost of a cookbook, a mystery novel, and a map of Africa.\n\n$8 + $3 + $9 = $20\n\nRussell needs $20.", "answer": "20", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| mystery novel | $3 |\n| cookbook | $8 |\n| map of Africa | $9 |\n| dog calendar | $4 |\n| map of the United States | $2 |\n| airplane calendar | $4 |" } ] }, { "id": "4162", "image": "4162.png", "conversations": [ { "from": "human", "question": "The movie critic liked to count the number of actors in each movie she saw. What is the largest number of actors?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 9.\n\nNow find the highest leaf in the last row. The highest leaf is 0.\n\nThe largest number of actors has a stem of 9 and a leaf of 0. Write the stem first, then the leaf: 90.\n\nThe largest number of actors is 90 actors.", "answer": "90", "table": "**Actors per movie**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 5, 5 |\n| 4 | 1, 4 |\n| 5 | 0, 9 |\n| 6 | 1 |\n| 7 | 7 |\n| 8 | 4 |\n| 9 | 0, 0, 0 |" } ] }, { "id": "4165", "image": "4165.png", "conversations": [ { "from": "human", "question": "Each box has 10 coconut bars. How many coconut bars are in 6 boxes?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 60 coconut bars in 6 boxes.", "answer": "60", "table": "| Number of boxes | Number of coconut bars |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | 40 |\n| 5 | 50 |\n| 6 | ? |" } ] }, { "id": "4171", "image": "4171.png", "conversations": [ { "from": "human", "question": "A concession stand worker at the movie theater looked up how many bags of popcorn were sold in the past 4 days. On which day did the movie theater sell the fewest bags of popcorn?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 10.\n\nNow find the corresponding day. Friday corresponds to 10.", "answer": "Friday", "table": "**Bags of popcorn sold**\n\n| Day | Number of bags of popcorn |\n| --- | --- |\n| Tuesday | 11 |\n| Wednesday | 13 |\n| Thursday | 14 |\n| Friday | 10 |" } ] }, { "id": "4177", "image": "4177.png", "conversations": [ { "from": "human", "question": "Latrell has $1,108.00. How much money will Latrell have left if he buys a jet ski ride and a hot air balloon ride?\n" }, { "from": "gpt", "solution": "Find the total cost of a jet ski ride and a hot air balloon ride.\n\n$180.00 + $524.00 = $704.00\n\nNow subtract the total cost from the starting amount.\n\n$1,108.00 - $704.00 = $404.00\n\nLatrell will have $404.00 left.", "answer": "404", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| sailboat ride | $216.00 |\n| helicopter ride | $597.00 |\n| race car ride | $318.00 |\n| hot air balloon ride | $524.00 |\n| jet ski ride | $180.00 |" } ] }, { "id": "4178", "image": "4178.png", "conversations": [ { "from": "human", "question": "A plant nursery in Georgetown keeps records of how many of its plants are annuals, biennials, and perennials. What fraction of the plants are perennials? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many plants are perennials.\n\n68\n\nFind how many plants the nursery has in total.\n\n24 + 68 + 96 = 188\n\nDivide 68 by188.\n\n\\frac{68}{188}\n\nReduce the fraction.\n\n\\frac{68}{188} → \\frac{17}{47}\n\n\\frac{17}{47} of plants are perennials.", "answer": "17/47", "table": "**Distribution of plant types**\n\n| Type | Number of plants |\n| --- | --- |\n| Annuals | 24 |\n| Perennials | 68 |\n| Biennials | 96 |" } ] }, { "id": "4180", "image": "4180.png", "conversations": [ { "from": "human", "question": "A donut shop recorded how many donuts it sold in the past 4 days. On which day did the shop sell the fewest donuts?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 114.\n\nNow find the corresponding day. Wednesday corresponds to 114.", "answer": "Wednesday", "table": "**Donuts sold**\n\n| Day | Number of donuts |\n| --- | --- |\n| Sunday | 154 |\n| Monday | 148 |\n| Tuesday | 151 |\n| Wednesday | 114 |" } ] }, { "id": "4185", "image": "4185.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{10 - 1}{13 - 12}\n = \\frac{9}{1}\n = 9\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{14 - 10}{14 - 13}\n = \\frac{4}{1}\n = 4\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 12 | 1 |\n| 13 | 10 |\n| 14 | 14 |" } ] }, { "id": "4187", "image": "4187.png", "conversations": [ { "from": "human", "question": "How much money does Russell need to buy a rocking chair and a TV stand?\n" }, { "from": "gpt", "solution": "Add the price of a rocking chair and the price of a TV stand:\n\n$59.33 + $19.18 = $78.51\n\nRussell needs $78.51.", "answer": "78.51", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| bookcase | $88.58 |\n| rocking chair | $59.33 |\n| TV stand | $19.18 |\n| kitchen table | $82.70 |\n| set of bunk beds | $81.02 |\n| footstool | $18.95 |" } ] }, { "id": "4189", "image": "4189.png", "conversations": [ { "from": "human", "question": "A pizza delivery driver paid attention to how many pizzas he delivered over the past 5 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 10, 8, 4, 9\n\nFirst, arrange the numbers from least to greatest:\n\n4, 6, 8, 9, 10\n\nNow find the number in the middle.\n\n4, 6, 8, 9, 10\n\nThe number in the middle is 8.\n\nThe median is 8.", "answer": "8", "table": "**Pizzas delivered**\n\n| Day | Number of pizzas |\n| --- | --- |\n| Saturday | 6 |\n| Sunday | 10 |\n| Monday | 8 |\n| Tuesday | 4 |\n| Wednesday | 9 |" } ] }, { "id": "4193", "image": "4193.png", "conversations": [ { "from": "human", "question": "At their family reunion, the Humphrey family recorded everyone's age. How many people are less than 80 years old?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 3, 4, 5, 6, and 7.\n\nYou counted 11 leaves, which are blue in the stem-and-leaf plot above. 11 people are less than 80 years old.", "answer": "11", "table": "**Ages**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 3 |\n| 4 | 2 |\n| 5 | 4, 9 |\n| 6 | 1, 1 |\n| 7 | 3, 3, 6, 6, 9 |\n| 8 | 1, 4 |" } ] }, { "id": "4195", "image": "4195.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $790, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $790, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $190 | 7,200 | 14,100 |\n| $340 | 6,200 | 14,600 |\n| $490 | 5,200 | 15,100 |\n| $640 | 4,200 | 15,600 |\n| $790 | 3,200 | 16,100 |" } ] }, { "id": "4215", "image": "4215.png", "conversations": [ { "from": "human", "question": "The table shows checking account features and fees for two banks in Westland County. Tommy just finished college and started a job in Westland County. He needs to open a new local checking account. Tommy plans to use bank ATMs 4 times each month to deposit cash payments and prefers to use online banking. Which bank is the better choice for Tommy?\n" }, { "from": "gpt", "solution": "To determine which bank is the better choice for Tommy, compare the fees each bank would charge him. See which bank would charge him less.\n\nFind the fees Tommy should expect to pay in one month at Pediment Bank.\nThere is an $11 fee for having the checking account because Tommy is not a student.\nThere is a $1 fee for each bank ATM transaction. For 4 bank ATM transactions, he expects to pay $4 in fees.\nThere is a $5 fee for using online banking.\n\nIn all, Tommy should expect to pay $11 + $4 + $5 = $20 per month at Pediment Bank.\n\nFind the fees Tommy should expect to pay in one month at Redland Bank.\nThere is a $15 fee for having the checking account.\nThere is no fee for using the bank's ATMs.\nThere is a $3 fee for using online banking.\n\nIn all, Tommy should expect to pay $15 + $3 = $18 per month at Redland Bank.\n\nTommy should expect to pay $20 per month at Pediment Bank or $18 per month at Redland Bank. Redland Bank is the better choice for Tommy.", "answer": "Redland Bank", "table": "| | Pediment Bank | Redland Bank |\n| --- | --- | --- |\n| Checking account services | Free for students; Otherwise, $11 per month | $15 per month |\n| ATM transactions (bank ATM) | $1 per transaction | No ATM fees |\n| ATM transactions (nonbank ATM) | $2 per transaction | $3.50 per transaction |\n| Online banking | $5 per month | $3 per month |" } ] }, { "id": "4217", "image": "4217.png", "conversations": [ { "from": "human", "question": "Diane looked at her calendar to figure out how much time she spent babysitting each month. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n4, 2, 2, 4, 5, 2\n\nFirst, arrange the numbers from least to greatest:\n\n2, 2, 2, 4, 4, 5\n\nNow count how many times each number appears.\n\n2 appears 3 times.\n4 appears 2 times.\n5 appears 1 time.\n\nThe number that appears most often is 2.\n\nThe mode is 2.", "answer": "2", "table": "**Hours of babysitting**\n\n| Month | Hours |\n| --- | --- |\n| January | 4 |\n| February | 2 |\n| March | 2 |\n| April | 4 |\n| May | 5 |\n| June | 2 |" } ] }, { "id": "4225", "image": "4225.png", "conversations": [ { "from": "human", "question": "Tracy kept track of how many boxes of cookies she sold over the past 5 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n0, 5, 5, 10, 6\n\nFirst, arrange the numbers from least to greatest:\n\n0, 5, 5, 6, 10\n\nNow find the number in the middle.\n\n0, 5, 5, 6, 10\n\nThe number in the middle is 5.\n\nThe median is 5.", "answer": "5", "table": "**Boxes of cookies sold**\n\n| Day | Number of boxes |\n| --- | --- |\n| Tuesday | 0 |\n| Wednesday | 5 |\n| Thursday | 5 |\n| Friday | 10 |\n| Saturday | 6 |" } ] }, { "id": "4227", "image": "4227.png", "conversations": [ { "from": "human", "question": "Each garage has 10 flashlights. How many flashlights are in 3 garages?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 30 flashlights in 3 garages.", "answer": "30", "table": "| Number of garages | Number of flashlights |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | ? |" } ] }, { "id": "4230", "image": "4230.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $1,150, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $1,150, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $640 | 21,000 | 19,900 |\n| $810 | 19,200 | 20,800 |\n| $980 | 17,400 | 21,700 |\n| $1,150 | 15,600 | 22,600 |\n| $1,320 | 13,800 | 23,500 |" } ] }, { "id": "4232", "image": "4232.png", "conversations": [ { "from": "human", "question": "The city library monitored the number of books checked out each day. On which day were the fewest books checked out?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 229.\n\nNow find the corresponding day. Sunday corresponds to 229.", "answer": "Sunday", "table": "**Books checked out**\n\n| Day | Number of books |\n| --- | --- |\n| Saturday | 293 |\n| Sunday | 229 |\n| Monday | 239 |\n| Tuesday | 292 |" } ] }, { "id": "4235", "image": "4235.png", "conversations": [ { "from": "human", "question": "The aquarium's records showed how many tickets were sold in the past 3 days. How many more tickets did the aquarium sell on Friday than on Thursday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nFriday: 274\nThursday: 142\n\nNow subtract: 274 - 142 = 132.\n\nThe aquarium sold 132 more tickets on Friday.", "answer": "132", "table": "**Tickets sold**\n\n| Day | Number of tickets |\n| --- | --- |\n| Thursday | 142 |\n| Friday | 274 |\n| Saturday | 657 |" } ] }, { "id": "4237", "image": "4237.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. How long does it take to get from Washington Avenue to View Avenue?\n" }, { "from": "gpt", "solution": "Read the times in the first column for Washington Avenue and View Avenue.\n\nFind the elapsed time between 11:00 A. M. and 1:30 P. M. The elapsed time is 2 hours and 30 minutes.\n\nNo matter which column of times you look at, the elapsed time is always 2 hours and 30 minutes.", "answer": "2 hours and 30 minutes", "table": "**Subway train schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 |\n| --- | --- | --- | --- |\n| College Boulevard | 9:00 A.M. | 10:45 A.M. | 11:00 A.M. |\n| Cedar Street | 10:00 A.M. | 11:45 A.M. | 12:00 P.M. |\n| Washington Avenue | 11:00 A.M. | 12:45 P.M. | 1:00 P.M. |\n| Green Road | 11:45 A.M. | 1:30 P.M. | 1:45 P.M. |\n| Locust Avenue | 12:30 P.M. | 2:15 P.M. | 2:30 P.M. |\n| View Avenue | 1:30 P.M. | 3:15 P.M. | 3:30 P.M. |\n| Maple Boulevard | 2:00 P.M. | 3:45 P.M. | 4:00 P.M. |\n| Ridge Street | 3:00 P.M. | 4:45 P.M. | 5:00 P.M. |" } ] }, { "id": "4244", "image": "4244.png", "conversations": [ { "from": "human", "question": "For a math assignment, students noted the number of times a wheel landed on the numbers 0 through 5. Which number was spun the fewest times?\n" }, { "from": "gpt", "solution": "Look at the frequency column. Find the least frequency. The least frequency is 1, which is in the row for 2. 2 was spun the fewest times.", "answer": "2", "table": "**Spinning a wheel numbered 0 through 5**\n\n| Number spun | Frequency |\n| --- | --- |\n| 0 | 2 |\n| 1 | 14 |\n| 2 | 1 |\n| 3 | 4 |\n| 4 | 16 |\n| 5 | 3 |" } ] }, { "id": "4248", "image": "4248.png", "conversations": [ { "from": "human", "question": "An environmental agency examined how many trees were planted by different organizations. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n96, 86, 91, 93, 82, 81, 84, 75\n\nFirst, count how many numbers are in the group.\n\nThere are 8 numbers.\n\nNow add all the numbers together:\n\n96 + 86 + 91 + 93 + 82 + 81 + 84 + 75 = 688\n\nNow divide the sum by the number of numbers:\n\n688 ÷ 8 = 86\n\nThe mean is 86.", "answer": "86", "table": "**Trees planted**\n\n| Organization | Number of trees planted |\n| --- | --- |\n| Plant It | 96 |\n| New Planet | 86 |\n| Dreaming Green | 91 |\n| Make it Green | 93 |\n| Trees for All | 82 |\n| Acorns to Oaks | 81 |\n| Heal the Earth | 84 |\n| Let it Grow | 75 |" } ] }, { "id": "4253", "image": "4253.png", "conversations": [ { "from": "human", "question": "An Idaho farmer has been monitoring crop prices over time. In 2005, how much more did lentils cost per cwt than potatoes?\n" }, { "from": "gpt", "solution": "Find the 2005 column. Find the numbers in this column for lentils and potatoes.\n\nlentils: $12.00\npotatoes: $6.00\n\nNow subtract:\n\n$12.00 − $6.00 = $6.00\n\nIn 2005, lentils cost $6 more per cwt than potatoes.", "answer": "6", "table": "**Idaho crop prices per cwt**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Crop | 2004 | 2005 |\n| Canola | $11 | $10 |\n| Lentils | $14 | $12 |\n| Potatoes | $4 | $6 |" } ] }, { "id": "4266", "image": "4266.png", "conversations": [ { "from": "human", "question": "Some friends played a trivia game and recorded their scores. Who had the highest score?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 187.\n\nNow find the corresponding name. Adele corresponds to 187.", "answer": "Adele", "table": "**Trivia game scores**\n\n| Name | Score |\n| --- | --- |\n| Liz | 118 |\n| Adele | 187 |\n| Malik | 179 |\n| Dylan | 178 |" } ] }, { "id": "4279", "image": "4279.png", "conversations": [ { "from": "human", "question": "Each branch has 5 butterflies. How many butterflies are on 6 branches?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 30 butterflies on 6 branches.", "answer": "30", "table": "| Number of branches | Number of butterflies |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | 20 |\n| 5 | 25 |\n| 6 | ? |" } ] }, { "id": "4281", "image": "4281.png", "conversations": [ { "from": "human", "question": "How much money does Jacob need to buy 6 pecan pies and 9 birthday cakes?\n" }, { "from": "gpt", "solution": "Find the cost of 6 pecan pies.\n\n$11.00 × 6 = $66.00\n\nFind the cost of 9 birthday cakes.\n\n$21.00 × 9 = $189.00\n\nNow find the total cost.\n\n$66.00 + $189.00 = $255.00\n\nJacob needs $255.00.", "answer": "255", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| birthday cake | $21.00 |\n| apple tart | $11.00 |\n| pecan pie | $11.00 |\n| key lime pie | $15.00 |" } ] }, { "id": "4287", "image": "4287.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{7 - 3}{14 - 13}\n = \\frac{4}{1}\n = 4\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{13 - 3}{15 - 13}\n = \\frac{10}{2}\n = 5\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 13 | 3 |\n| 14 | 7 |\n| 15 | 13 |" } ] }, { "id": "4292", "image": "4292.png", "conversations": [ { "from": "human", "question": "A farmer recalled how many watermelons were harvested in the past 4 days. On which day were the fewest watermelons harvested?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 225.\n\nNow find the corresponding day. Wednesday corresponds to 225.", "answer": "Wednesday", "table": "**Watermelons harvested**\n\n| Day | Number of watermelons |\n| --- | --- |\n| Wednesday | 225 |\n| Thursday | 285 |\n| Friday | 281 |\n| Saturday | 259 |" } ] }, { "id": "4301", "image": "4301.png", "conversations": [ { "from": "human", "question": "Each package has 5 beads. How many beads are in 5 packages?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 25 beads in 5 packages.", "answer": "25", "table": "| Number of packages | Number of beads |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | 20 |\n| 5 | ? |" } ] }, { "id": "4306", "image": "4306.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does the train arrive at the park?\n" }, { "from": "gpt", "solution": "Find the park on the schedule. Find the arrival time for the park.\n\npark: 1:10 P. M.", "answer": "1:10 P.M.", "table": "**Light rail train schedule**\n\n| Location | Time |\n| --- | --- |\n| downtown | 10:45 A.M. |\n| baseball stadium | 11:10 A.M. |\n| science museum | 11:15 A.M. |\n| city hall | 11:20 A.M. |\n| high school | 11:30 A.M. |\n| elementary school | 11:50 A.M. |\n| town square | 12:20 P.M. |\n| swimming pool | 12:50 P.M. |\n| park | 1:10 P.M. |" } ] }, { "id": "4312", "image": "4312.png", "conversations": [ { "from": "human", "question": "Farid, a journalism student, counted the number of pages in several major magazines. How many magazines had at least 10 pages?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1, 2, 3, 4, 5, 6, 7, and 8.\n\nYou counted 17 leaves, which are blue in the stem-and-leaf plot above. 17 magazines had at least 10 pages.", "answer": "17", "table": "**Pages per magazine**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 2 |\n| 2 | 6, 7, 8 |\n| 3 | 0 |\n| 4 | 2, 6 |\n| 5 | 5, 7 |\n| 6 | 6, 8 |\n| 7 | 1 |\n| 8 | 2, 6, 6, 8, 9 |" } ] }, { "id": "4320", "image": "4320.png", "conversations": [ { "from": "human", "question": "The owner of an orchard kept records about how many apples were picked in the past 6 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n27, 14, 28, 23, 14, 25\n\nFirst, find the greatest number. The greatest number is 28.\n\nNext, find the least number. The least number is 14.\n\nSubtract the least number from the greatest number:\n\n28 − 14 = 14\n\nThe range is 14.", "answer": "14", "table": "**Apples picked**\n\n| Day | Number of apples |\n| --- | --- |\n| Thursday | 27 |\n| Friday | 14 |\n| Saturday | 28 |\n| Sunday | 23 |\n| Monday | 14 |\n| Tuesday | 25 |" } ] }, { "id": "4323", "image": "4323.png", "conversations": [ { "from": "human", "question": "A food industry researcher compiled the revenues of several pizzerias. Which restaurant made more from pepperoni pizzas, Taste of New York or Dan's Deep Dish?\n" }, { "from": "gpt", "solution": "Find the Pepperoni pizzas column. Compare the numbers in this column for Taste of New York and Dan's Deep Dish.\n\n$14.00 is more than $8.00. Taste of New York made more from pepperoni pizzas.", "answer": "Taste of New York", "table": "**Pizza sales**\n\n| Restaurant | Pepperoni pizzas | Vegetarian pizzas |\n| --- | --- | --- |\n| Dan's Deep Dish | $8 | $6 |\n| The Big Cheese | $11 | $18 |\n| Taste of New York | $14 | $7 |" } ] }, { "id": "4324", "image": "4324.png", "conversations": [ { "from": "human", "question": "Mrs. Horton told students how many rounds to expect in the spelling bee based on previous years. According to the table, what was the rate of change between 2016 and 2017?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{18 rounds - 17 rounds}{2017 - 2016}\n = \\frac{18 rounds - 17 rounds}{1 year}\n = \\frac{1 round}{1 year}\n = 1 round per year\nThe rate of change between 2016 and 2017 was 1 round per year.", "answer": "1", "table": "**Rounds in the spelling bee**\n\n| Year | Rounds |\n| --- | --- |\n| 2014 | 16 |\n| 2015 | 14 |\n| 2016 | 17 |\n| 2017 | 18 |\n| 2018 | 15 |" } ] }, { "id": "4328", "image": "4328.png", "conversations": [ { "from": "human", "question": "How much more does a bright yellow highlighter cost than a package of pencil lead?\n" }, { "from": "gpt", "solution": "Subtract the price of a package of pencil lead from the price of a bright yellow highlighter.\n\n$0.82 - $0.56 = $0.26\n\nA bright yellow highlighter costs $0.26 more than a package of pencil lead.", "answer": "0.26", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| bright yellow highlighter | $0.82 |\n| thin blue marker | $0.65 |\n| red ballpoint pen | $0.60 |\n| package of pencil lead | $0.56 |\n| black pen | $0.28 |" } ] }, { "id": "4332", "image": "4332.png", "conversations": [ { "from": "human", "question": "A farmer recalled how many watermelons were harvested in the past 7 days. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n92, 97, 99, 92, 95, 97, 100\n\nFirst, count how many numbers are in the group.\n\nThere are 7 numbers.\n\nNow add all the numbers together:\n\n92 + 97 + 99 + 92 + 95 + 97 + 100 = 672\n\nNow divide the sum by the number of numbers:\n\n672 ÷ 7 = 96\n\nThe mean is 96.", "answer": "96", "table": "**Watermelons harvested**\n\n| Day | Number of watermelons |\n| --- | --- |\n| Tuesday | 92 |\n| Wednesday | 97 |\n| Thursday | 99 |\n| Friday | 92 |\n| Saturday | 95 |\n| Sunday | 97 |\n| Monday | 100 |" } ] }, { "id": "4334", "image": "4334.png", "conversations": [ { "from": "human", "question": "Jon counted the number of pairs of shoes for sale at each of the shoe stores in the mall. How many stores have at least 10 pairs of shoes but fewer than 90 pairs of shoes?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1, 2, 3, 4, 5, 6, 7, and 8.\n\nYou counted 21 leaves, which are blue in the stem-and-leaf plot above. 21 stores have at least 10 pairs of shoes but fewer than 90 pairs of shoes.", "answer": "21", "table": "**Pairs of shoes per store**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 9 |\n| 2 | 2, 7 |\n| 3 | 6 |\n| 4 | 1, 4, 6, 7, 8, 8 |\n| 5 | 0, 2, 3, 7, 7 |\n| 6 | 2, 8 |\n| 7 | 0 |\n| 8 | 2, 5, 6 |" } ] }, { "id": "4345", "image": "4345.png", "conversations": [ { "from": "human", "question": "An environmental agency examined how many trees were planted by different organizations. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n69, 94, 74, 83, 82, 70, 84, 92\n\nFirst, count how many numbers are in the group.\n\nThere are 8 numbers.\n\nNow add all the numbers together:\n\n69 + 94 + 74 + 83 + 82 + 70 + 84 + 92 = 648\n\nNow divide the sum by the number of numbers:\n\n648 ÷ 8 = 81\n\nThe mean is 81.", "answer": "81", "table": "**Trees planted**\n\n| Organization | Number of trees planted |\n| --- | --- |\n| Trees for All | 69 |\n| New Planet | 94 |\n| Acorns to Oaks | 74 |\n| Let it Grow | 83 |\n| Plant It | 82 |\n| Heal the Earth | 70 |\n| Dreaming Green | 84 |\n| Make it Green | 92 |" } ] }, { "id": "4350", "image": "4350.png", "conversations": [ { "from": "human", "question": "Principal McConnell reported the state test scores from some students at her school. How many students scored fewer than 100 points?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1, 2, 3, 4, 5, 6, 7, 8, and 9.\n\nYou counted 12 leaves, which are blue in the stem-and-leaf plot above. 12 students scored fewer than 100 points.", "answer": "12", "table": "**Test scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1 |\n| 2 | |\n| 3 | |\n| 4 | 0, 4, 8 |\n| 5 | |\n| 6 | 4, 9 |\n| 7 | 3, 4 |\n| 8 | 4, 7, 8 |\n| 9 | 0 |" } ] }, { "id": "4356", "image": "4356.png", "conversations": [ { "from": "human", "question": "Several people compared how many Web pages they had visited. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n2, 9, 3, 9, 3, 3\n\nFirst, arrange the numbers from least to greatest:\n\n2, 3, 3, 3, 9, 9\n\nNow count how many times each number appears.\n\n2 appears 1 time.\n3 appears 3 times.\n9 appears 2 times.\n\nThe number that appears most often is 3.\n\nThe mode is 3.", "answer": "3", "table": "**Web pages visited**\n\n| Person | Number of Web pages |\n| --- | --- |\n| Kenneth | 2 |\n| Edwin | 9 |\n| Doug | 3 |\n| Jason | 9 |\n| Mitchell | 3 |\n| Natalie | 3 |" } ] }, { "id": "4358", "image": "4358.png", "conversations": [ { "from": "human", "question": "An Idaho farmer has been monitoring crop prices over time. Per cwt, how much did peas cost in 2004?\n" }, { "from": "gpt", "solution": "First, find the row for peas. Then find the number in the 2004 column.\n\nThis number is $7.00. In 2004, peas cost $7 per cwt.", "answer": "7", "table": "**Idaho crop prices per cwt**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Crop | 2004 | 2005 |\n| Lentils | $14 | $12 |\n| Timothy seed | $7 | $7 |\n| Apples | $12 | $18 |\n| Canola | $11 | $10 |\n| Peas | $7 | $6 |" } ] }, { "id": "4360", "image": "4360.png", "conversations": [ { "from": "human", "question": "The owner of a pick-your-own-bouquet flower farm recorded the number of flowers that customers picked yesterday. How many customers picked at least 4 flowers?\n" }, { "from": "gpt", "solution": "Find the rows for 4, 5, and 6 flowers. Add the frequencies for these rows.\n\nAdd:\n\n8 + 5 + 2 = 15\n\n15 customers picked at least 4 flowers.", "answer": "15", "table": "**Picking flowers**\n\n| Flowers picked | Frequency |\n| --- | --- |\n| 1 | 7 |\n| 2 | 20 |\n| 3 | 15 |\n| 4 | 8 |\n| 5 | 5 |\n| 6 | 2 |" } ] }, { "id": "4361", "image": "4361.png", "conversations": [ { "from": "human", "question": "Every year Lowell has a citywide relay and reports the winning times. According to the table, what was the rate of change between 2017 and 2018?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{25 minutes - 21 minutes}{2018 - 2017}\n = \\frac{25 minutes - 21 minutes}{1 year}\n = \\frac{4 minutes}{1 year}\n = 4 minutes per year\nThe rate of change between 2017 and 2018 was 4 minutes per year.", "answer": "4", "table": "**Winning relay times**\n\n| Year | Winning time (minutes) |\n| --- | --- |\n| 2014 | 22 |\n| 2015 | 28 |\n| 2016 | 28 |\n| 2017 | 21 |\n| 2018 | 25 |" } ] }, { "id": "4362", "image": "4362.png", "conversations": [ { "from": "human", "question": "Garrett counted the number of silver beads on each bracelet at Booneville Jewelry, the store where he works. What is the largest number of silver beads?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 9.\n\nNow find the highest leaf in the last row. The highest leaf is 0.\n\nThe largest number of silver beads has a stem of 9 and a leaf of 0. Write the stem first, then the leaf: 90.\n\nThe largest number of silver beads is 90 silver beads.", "answer": "90", "table": "**Silver beads per bracelet**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 3 |\n| 2 | 1, 8 |\n| 3 | 2, 3, 7 |\n| 4 | 0, 6, 8, 9 |\n| 5 | 3, 5, 7, 8 |\n| 6 | 6 |\n| 7 | 7, 7 |\n| 8 | 3 |\n| 9 | 0 |" } ] }, { "id": "4368", "image": "4368.png", "conversations": [ { "from": "human", "question": "Gavin has $4.50. Does he have enough to buy a trip through the Haunted House and a ride on the Log Ride Splasher?\n" }, { "from": "gpt", "solution": "Add the price of a trip through the Haunted House and the price of a ride on the Log Ride Splasher:\n\n$2.71 + $1.53 = $4.24\n\n$4.24 is less than $4.50. Gavin does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| ride on the Log Ride Splasher | $1.53 |\n| ride on Wild Raft River | $5.88 |\n| ride on the Upside-Down Twister | $2.02 |\n| trip through the Haunted House | $2.71 |" } ] }, { "id": "4370", "image": "4370.png", "conversations": [ { "from": "human", "question": "Liam has $91. How much money will Liam have left if he buys a tennis racquet and a football?\n" }, { "from": "gpt", "solution": "Find the total cost of a tennis racquet and a football.\n\n$30 + $12 = $42\n\nNow subtract the total cost from the starting amount.\n\n$91 - $42 = $49\n\nLiam will have $49 left.", "answer": "49", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| badminton set | $19 |\n| baseball bat | $25 |\n| baseball helmet | $13 |\n| football | $12 |\n| scooter | $38 |\n| tennis racquet | $30 |" } ] }, { "id": "4377", "image": "4377.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Ivan just missed the 11.15 A.M. train at Livingston. How long does he have to wait until the next train?\n" }, { "from": "gpt", "solution": "Find 11:15 A. M. in the row for Livingston.\n\nLook for the next train in that row.\n\nThe next train is at 11:30 A. M.\n\nFind the elapsed time. The elapsed time is 15 minutes.", "answer": "15 minutes", "table": "**Train schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 | Column 5 | Column 6 |\n| --- | --- | --- | --- | --- | --- |\n| Ashland | 8:00 A.M. | 8:30 A.M. | 8:45 A.M. | 9:30 A.M. | 11:00 A.M. |\n| Summerfield | 9:15 A.M. | 9:45 A.M. | 10:00 A.M. | 10:45 A.M. | 12:15 P.M. |\n| Livingston | 10:45 A.M. | 11:15 A.M. | 11:30 A.M. | 12:15 P.M. | 1:45 P.M. |\n| Norwood | 12:00 P.M. | 12:30 P.M. | 12:45 P.M. | 1:30 P.M. | 3:00 P.M. |\n| Dayton | 1:30 P.M. | 2:00 P.M. | 2:15 P.M. | 3:00 P.M. | 4:30 P.M. |" } ] }, { "id": "4380", "image": "4380.png", "conversations": [ { "from": "human", "question": "During a lab exercise, students in Professor Whitaker's class rolled a 6-sided die and recorded the results. Which number was rolled the most times?\n" }, { "from": "gpt", "solution": "Look at the frequency column. Find the greatest frequency. The greatest frequency is 20, which is in the row for 4. 4 was rolled the most times.", "answer": "4", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| Rolls of a | 6-sided die |\n| Numbers rolled | Frequency |\n| 1 | 15 |\n| 2 | 19 |\n| 3 | 18 |\n| 4 | 20 |\n| 5 | 14 |\n| 6 | 6 |" } ] }, { "id": "4397", "image": "4397.png", "conversations": [ { "from": "human", "question": "Bryan counted all the beads in each necklace at the jewelry store where he works. How many necklaces had exactly 45 beads?\n" }, { "from": "gpt", "solution": "For the number 45, the stem is 4, and the leaf is 5. Find the row where the stem is 4. In that row, count all the leaves equal to 5.\n\nYou counted 1 leaf, which is blue in the stem-and-leaf plot above. 1 necklace had exactly 45 beads.", "answer": "1", "table": "**Beads per necklace**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 3, 5, 5, 6, 7, 8, 8 |\n| 4 | 0, 2, 3, 4, 5, 8, 8 |\n| 5 | 3, 5, 5, 6, 9, 9 |\n| 6 | 0, 5 |" } ] }, { "id": "4409", "image": "4409.png", "conversations": [ { "from": "human", "question": "Chase has $20,205. How much money will Chase have left if he buys an antique cherry bookcase and an antique cast-iron bench?\n" }, { "from": "gpt", "solution": "Find the total cost of an antique cherry bookcase and an antique cast-iron bench.\n\n$8,789 + $2,649 = $11,438\n\nNow subtract the total cost from the starting amount.\n\n$20,205 - $11,438 = $8,767\n\nChase will have $8,767 left.", "answer": "8,767", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| antique cast-iron bench | $2,649 |\n| antique pine chest of drawers | $3,245 |\n| antique mahogany armoire | $6,071 |\n| antique cherry bookcase | $8,789 |" } ] }, { "id": "4410", "image": "4410.png", "conversations": [ { "from": "human", "question": "A sociology teacher asked her students to complete a survey at the beginning of the year. One survey question asked, \"How responsible are you?\" Another question asked, \"How many siblings do you have?\" What is the probability that a randomly selected student has 1 sibling and is irresponsible? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the student has 1 sibling\" and B be the event \"the student is irresponsible\".\nTo find the probability that a student has 1 sibling and is irresponsible, first identify the sample space and the event.\nThe outcomes in the sample space are the different students. Each student is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the student has 1 sibling and is irresponsible\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the student has 1 sibling and is irresponsible\", so look at the table to see how many students have 1 sibling and are irresponsible.\nThe number of students who have 1 sibling and are irresponsible is 4.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of students.\n2 + 4 + 1 + 5 = 12\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{4}{12}\n = \\frac{1}{3}\nThe probability that a student has 1 sibling and is irresponsible is \\frac{1}{3}.", "answer": "1/3", "table": "| | Irresponsible | Responsible |\n| --- | --- | --- |\n| 0 siblings | 2 | 1 |\n| 1 sibling | 4 | 5 |" } ] }, { "id": "4418", "image": "4418.png", "conversations": [ { "from": "human", "question": "The receptionist at a doctor's office kept track of each patient's wait time. What is the shortest wait time?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 3.\n\nNow find the lowest leaf in the first row. The lowest leaf is 3.\n\nThe shortest wait time has a stem of 3 and a leaf of 3. Write the stem first, then the leaf: 33.\n\nThe shortest wait time is 33 minutes.", "answer": "33", "table": "**Doctor's office wait times (minutes)**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 3 |\n| 4 | 1, 4 |\n| 5 | 6, 7 |\n| 6 | 6 |\n| 7 | 2 |" } ] }, { "id": "4429", "image": "4429.png", "conversations": [ { "from": "human", "question": "During Fitness Day at school, Jamal and his classmates took part in a pull-up competition, keeping track of the results. How many people did exactly 14 pull-ups?\n" }, { "from": "gpt", "solution": "For the number 14, the stem is 1, and the leaf is 4. Find the row where the stem is 1. In that row, count all the leaves equal to 4.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 people did exactly14 pull-ups.", "answer": "3", "table": "**Pull-up competition (number of pull-ups)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 4, 4, 4 |\n| 2 | |\n| 3 | 1, 3, 7 |\n| 4 | 1, 5, 5, 7 |\n| 5 | 0, 7 |\n| 6 | 6 |\n| 7 | 2, 2, 8, 8, 9 |\n| 8 | |\n| 9 | 0 |" } ] }, { "id": "4435", "image": "4435.png", "conversations": [ { "from": "human", "question": "Dr. Carson, a zoo director, researched ticket prices at other zoos around the country. At the Los Angeles Zoo, how much more does a senior ticket cost than a child ticket?\n" }, { "from": "gpt", "solution": "Find the Los Angeles row. Find the numbers in this row for senior and child.\n\nsenior: $10.00\nchild: $8.00\n\nNow subtract:\n\n$10.00 − $8.00 = $2.00\n\nAt the Los Angeles Zoo, a senior ticket cost $2 more than a child ticket.", "answer": "2", "table": "**Zoo ticket prices**\n\n| Zoo | Child | Senior |\n| --- | --- | --- |\n| Boise | $3 | $4 |\n| Southern Nevada | $6 | $6 |\n| Los Angeles | $8 | $10 |\n| Minnesota | $10 | $10 |\n| Cleveland | $7 | $10 |" } ] }, { "id": "4443", "image": "4443.png", "conversations": [ { "from": "human", "question": "A farmer counted the number of apples on each tree in her orchard. How many trees have at least 51 apples but fewer than 83 apples?\n" }, { "from": "gpt", "solution": "Find the row with stem 5. Count all the leaves greater than or equal to 1.\n\nCount all the leaves in the rows with stems 6 and 7.\n\nIn the row with stem 8, count all the leaves less than 3.\n\nYou counted 7 leaves, which are blue in the stem-and-leaf plots above. 7 trees have at least 51 apples but fewer than 83 apples.", "answer": "7", "table": "**Apples per tree**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1, 3, 6 |\n| 2 | 2, 3, 3, 6 |\n| 3 | 0 |\n| 4 | 3 |\n| 5 | 2, 6 |\n| 6 | 0, 0, 2 |\n| 7 | 2, 8 |\n| 8 | 4, 5, 5, 6, 7 |" } ] }, { "id": "4456", "image": "4456.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{7 - 2}{8 - 7}\n = \\frac{5}{1}\n = 5\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{17 - 7}{9 - 8}\n = \\frac{10}{1}\n = 10\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 7 | 2 |\n| 8 | 7 |\n| 9 | 17 |" } ] }, { "id": "4457", "image": "4457.png", "conversations": [ { "from": "human", "question": "This is Becky's complete financial record for May. How much money did Becky receive on May 8?\n" }, { "from": "gpt", "solution": "Look at the 5/8 row. The amount received was $30.00. So, Becky received $30.00 on May 8.\n", "answer": "30", "table": "| Date | Description | Received | Expenses | Available Funds |\n| --- | --- | --- | --- | --- |\n| | Balance: end of April | | | $37.45 |\n| 5/4 | frozen yogurt | | $3.55 | $33.90 |\n| 5/8 | face painting | $30.00 | | $63.90 |\n| 5/12 | scooter | | $23.85 | $40.05 |" } ] }, { "id": "4472", "image": "4472.png", "conversations": [ { "from": "human", "question": "Nellie, an employee at Erickson's Convenience Store, looked at the sales of each of its soda products. On Saturday, which beverage had the highest sales?\n" }, { "from": "gpt", "solution": "Look at the numbers in the Saturday column. Find the greatest number in this column.\n\nThe greatest number is $12.00, which is in the Fizzy Fun row. On Saturday, Fizzy Fun had the highest sales.", "answer": "Fizzy Fun", "table": "**Convenience store beverage sales**\n\n| Beverage | Saturday | Sunday |\n| --- | --- | --- |\n| Krazy Kola | $2 | $7 |\n| Fizzy Fun | $12 | $20 |\n| Sweet Sips | $9 | $1 |" } ] }, { "id": "4487", "image": "4487.png", "conversations": [ { "from": "human", "question": "Nick counted the number of articles in several different magazines. How many magazines had at least 12 articles?\n" }, { "from": "gpt", "solution": "Find the row with stem 1. Count all the leaves greater than or equal to 2.\n\nCount all the leaves in the rows with stems 2, 3, and 4.\n\nYou counted 7 leaves, which are blue in the stem-and-leaf plots above. 7 magazines had at least 12 articles.", "answer": "7", "table": "**Articles per magazine**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 2, 4, 7, 9 |\n| 2 | 2 |\n| 3 | 4 |\n| 4 | 0 |" } ] }, { "id": "4492", "image": "4492.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{13 - 19}{6 - 5}\n = \\frac{-6}{1}\n = -6\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{7 - 13}{7 - 6}\n = \\frac{-6}{1}\n = -6\nThe two rates of change are the same.\n6.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 5 | 19 |\n| 6 | 13 |\n| 7 | 7 |" } ] }, { "id": "4493", "image": "4493.png", "conversations": [ { "from": "human", "question": "How much money does Ava need to buy a piece of licorice, a gumball, and a gum drop?\n" }, { "from": "gpt", "solution": "Find the total cost of a piece of licorice, a gumball, and a gum drop.\n\n$0.05 + $0.05 + $0.08 = $0.18\n\nAva needs $0.18.", "answer": "0.18", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| gummy worm | $0.05 |\n| gum drop | $0.08 |\n| gumball | $0.05 |\n| butterscotch candy | $0.07 |\n| piece of licorice | $0.05 |" } ] }, { "id": "4506", "image": "4506.png", "conversations": [ { "from": "human", "question": "A doctor's records revealed how many patients she saw each month. In which month did the doctor see the fewest patients?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 421.\n\nNow find the corresponding month. August corresponds to 421.", "answer": "August", "table": "**Patients seen**\n\n| Month | Number of patients |\n| --- | --- |\n| July | 441 |\n| August | 421 |\n| September | 429 |\n| October | 492 |" } ] }, { "id": "4511", "image": "4511.png", "conversations": [ { "from": "human", "question": "Irma found a list of the number of roller coasters at each amusement park in the state. How many amusement parks have fewer than 50 roller coasters?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1, 2, 3, and 4.\n\nYou counted 19 leaves, which are blue in the stem-and-leaf plot above. 19 amusement parks have fewer than 50 roller coasters.", "answer": "19", "table": "**Roller coasters per amusement park**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 3, 9 |\n| 2 | 0, 0, 0, 1, 7, 7, 8, 9 |\n| 3 | 2, 3, 6, 8 |\n| 4 | 2, 2, 4, 5, 7 |" } ] }, { "id": "4517", "image": "4517.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Erica is at the art museum at 10.45 A.M. How soon can she get to the park?\n" }, { "from": "gpt", "solution": "Look at the row for the art museum. Find the next bus departing from the art museum after 10:45 A. M. This bus departs from the art museum at 11:00 A. M.\n\nLook down the column until you find the row for the park.\n\nErica will get to the park at 12:30 P. M.", "answer": "12:30 P.M.", "table": "**Hotel shuttle bus schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 |\n| --- | --- | --- | --- |\n| Main Street | 9:30 A.M. | 10:00 A.M. | 10:30 A.M. |\n| art museum | 10:30 A.M. | 11:00 A.M. | 11:30 A.M. |\n| airport | 11:15 A.M. | 11:45 A.M. | 12:15 P.M. |\n| park | 12:00 P.M. | 12:30 P.M. | 1:00 P.M. |\n| baseball stadium | 12:45 P.M. | 1:15 P.M. | 1:45 P.M. |\n| college campus | 1:30 P.M. | 2:00 P.M. | 2:30 P.M. |\n| boat docks | 2:15 P.M. | 2:45 P.M. | 3:15 P.M. |" } ] }, { "id": "4528", "image": "4528.png", "conversations": [ { "from": "human", "question": "This morning, Mr. King released the scores from last week's spelling test. How many students scored exactly 40 points?\n" }, { "from": "gpt", "solution": "For the number 40, the stem is 4, and the leaf is 0. Find the row where the stem is 4. In that row, count all the leaves equal to 0.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 students scored exactly 40 points.", "answer": "3", "table": "**Spelling test scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 0, 6 |\n| 3 | 0, 2, 6, 8, 9 |\n| 4 | 0, 0, 0, 2, 4, 5 |\n| 5 | 4, 7, 7 |\n| 6 | 9 |\n| 7 | 1, 3, 5, 9 |" } ] }, { "id": "4530", "image": "4530.png", "conversations": [ { "from": "human", "question": "The town council reported on how many stop signs there are on each street. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n2, 9, 6, 10, 8, 5, 6, 8\n\nFirst, find the greatest number. The greatest number is 10.\n\nNext, find the least number. The least number is 2.\n\nSubtract the least number from the greatest number:\n\n10 − 2 = 8\n\nThe range is 8.", "answer": "8", "table": "**Stop signs**\n\n| Street | Number of stop signs |\n| --- | --- |\n| Marshall Street | 2 |\n| Smith Street | 9 |\n| Peabody Street | 6 |\n| Mason Street | 10 |\n| Jackson Street | 8 |\n| Spring Street | 5 |\n| Walker Street | 6 |\n| Watson Street | 8 |" } ] }, { "id": "4536", "image": "4536.png", "conversations": [ { "from": "human", "question": "How much money does Colin need to buy a rug and an oil painting?\n" }, { "from": "gpt", "solution": "Add the price of a rug and the price of an oil painting:\n\n$426 + $413 = $839\n\nColin needs $839.", "answer": "839", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| chandelier | $571 |\n| grandfather clock | $490 |\n| rug | $426 |\n| crystal sculpture | $841 |\n| oil painting | $413 |\n| silver coat rack | $370 |" } ] }, { "id": "4539", "image": "4539.png", "conversations": [ { "from": "human", "question": "A reporter counted the number of masks local artists made for this year's masquerade ball. How many artists are there in all?\n" }, { "from": "gpt", "solution": "Add the frequencies for each row.\n\nAdd:\n\n6 + 5 + 3 + 13 + 8 = 35\n\nThere are 35 artists in all.", "answer": "35", "table": "**Making paper masks**\n\n| Masks made | Frequency |\n| --- | --- |\n| 1 | 6 |\n| 2 | 5 |\n| 3 | 3 |\n| 4 | 13 |\n| 5 | 8 |" } ] }, { "id": "4546", "image": "4546.png", "conversations": [ { "from": "human", "question": "In science class, Brooke is measuring the temperature of different chemical mixtures. The temperatures of two mixtures are shown in the table. Which mixture's temperature is closest to zero?\n" }, { "from": "gpt", "solution": "A positive number means the temperature is above zero. A negative number means the temperature is below zero.\nTo find the temperature closest to zero, use absolute value. The absolute value of a temperature tells you how far it is from zero.\nBromine mixture: |-4| = 4\nAcetone mixture: |5| = 5\nThe temperature of the bromine mixture is closest to zero. It is only 4 degrees below zero.", "answer": "bromine mixture", "table": "| Mixture | Temperature (°C) |\n| --- | --- |\n| Bromine mixture | -4 |\n| Acetone mixture | 5 |" } ] }, { "id": "4547", "image": "4547.png", "conversations": [ { "from": "human", "question": "Shelby graphed the daily low temperature for 7 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 9, 9, 4, 8, 6, 10\n\nFirst, find the greatest number. The greatest number is 10.\n\nNext, find the least number. The least number is 4.\n\nSubtract the least number from the greatest number:\n\n10 − 4 = 6\n\nThe range is 6.", "answer": "6", "table": "**Daily low temperature**\n\n| Day | Temperature (°C) |\n| --- | --- |\n| Thursday | 7 |\n| Friday | 9 |\n| Saturday | 9 |\n| Sunday | 4 |\n| Monday | 8 |\n| Tuesday | 6 |\n| Wednesday | 10 |" } ] }, { "id": "4555", "image": "4555.png", "conversations": [ { "from": "human", "question": "Mrs. Copeland told students how many rounds to expect in the spelling bee based on previous years. According to the table, what was the rate of change between 2017 and 2018?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{15 rounds - 15 rounds}{2018 - 2017}\n = \\frac{15 rounds - 15 rounds}{1 year}\n = \\frac{0 rounds}{1 year}\n = 0 rounds per year\nThe rate of change between 2017 and 2018 was 0 rounds per year.", "answer": "0", "table": "**Rounds in the spelling bee**\n\n| Year | Rounds |\n| --- | --- |\n| 2014 | 12 |\n| 2015 | 15 |\n| 2016 | 13 |\n| 2017 | 15 |\n| 2018 | 15 |" } ] }, { "id": "4557", "image": "4557.png", "conversations": [ { "from": "human", "question": "This morning, Mr. Hammond released the scores from last week's spelling test. How many students scored at least 53 points but fewer than 69 points?\n" }, { "from": "gpt", "solution": "Find the row with stem 5. Count all the leaves greater than or equal to 3.\n\nIn the row with stem 6, count all the leaves less than 9.\n\nYou counted 5 leaves, which are blue in the stem-and-leaf plots above. 5 students scored at least 53 points but fewer than 69 points.", "answer": "5", "table": "**Spelling test scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 5 | 1, 5, 5 |\n| 6 | 1, 5, 5 |\n| 7 | 4, 7, 8, 9 |\n| 8 | 0, 1, 8 |\n| 9 | 0 |" } ] }, { "id": "4566", "image": "4566.png", "conversations": [ { "from": "human", "question": "The shop teacher, Mr. Ortega, wrote down how many picture frames the students made last week. How many students made fewer than 3 picture frames?\n" }, { "from": "gpt", "solution": "Find the rows for 0, 1, and 2 picture frames. Add the frequencies for these rows.\n\nAdd:\n\n12 + 10 + 7 = 29\n\n29 students made fewer than 3 picture frames.", "answer": "29", "table": "**Making picture frames**\n\n| Picture frames made | Frequency |\n| --- | --- |\n| 0 | 12 |\n| 1 | 10 |\n| 2 | 7 |\n| 3 | 9 |\n| 4 | 8 |\n| 5 | 19 |" } ] }, { "id": "4578", "image": "4578.png", "conversations": [ { "from": "human", "question": "Mike has $107. Does he have enough to buy a hedgehog and a tarantula?\n" }, { "from": "gpt", "solution": "Add the price of a hedgehog and the price of a tarantula:\n\n$91 + $20 = $111\n\n$111 is more than $107. Mike does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| tarantula | $20 |\n| pot-bellied pig | $80 |\n| hedgehog | $91 |\n| iguana | $46 |\n| cockatoo | $27 |\n| chameleon | $57 |" } ] }, { "id": "4593", "image": "4593.png", "conversations": [ { "from": "human", "question": "Jill kept a log of how many minutes she spent practicing ice skating over the past 4 days. On which day did Jill practice the least?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 90.\n\nNow find the corresponding day. Friday corresponds to 90.", "answer": "Friday", "table": "**Minutes spent practicing**\n\n| Day | Minutes |\n| --- | --- |\n| Friday | 90 |\n| Saturday | 99 |\n| Sunday | 92 |\n| Monday | 98 |" } ] }, { "id": "4598", "image": "4598.png", "conversations": [ { "from": "human", "question": "Gary has $58.99. How much money will Gary have left if he buys a soccer ticket and a basketball ticket?\n" }, { "from": "gpt", "solution": "Find the total cost of a soccer ticket and a basketball ticket.\n\n$19.45 + $23.50 = $42.95\n\nNow subtract the total cost from the starting amount.\n\n$58.99 - $42.95 = $16.04\n\nGary will have $16.04 left.", "answer": "16.04", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| basketball ticket | $23.50 |\n| baseball ticket | $87.55 |\n| football ticket | $64.65 |\n| soccer ticket | $19.45 |\n| tennis ticket | $16.85 |" } ] }, { "id": "4607", "image": "4607.png", "conversations": [ { "from": "human", "question": "This is Paula's complete financial record for February. On February 13, how much money did Paula spend?\n" }, { "from": "gpt", "solution": "Look at the 2/13 row. The expenses were $13.25. So, Paula spent $13.25 on February13.\n", "answer": "13.25", "table": "| Date | Description | Received | Expenses | Available Funds |\n| --- | --- | --- | --- | --- |\n| | Balance: end of January | | | $411.80 |\n| 2/8 | songbook | | $9.90 | $401.90 |\n| 2/13 | guitar strings | | $13.25 | $388.65 |\n| 2/19 | guitar lesson | $30.00 | | $418.65 |" } ] }, { "id": "4621", "image": "4621.png", "conversations": [ { "from": "human", "question": "Donald counted the pages in each book on his English class's required reading list. How many books had at least 70 pages but less than 90 pages?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 7 and 8.\n\nYou counted 5 leaves, which are blue in the stem-and-leaf plot above. 5 books had at least 70 pages but less than 90 pages.", "answer": "5", "table": "**Pages per book**\n\n| Stem | Leaf |\n| --- | --- |\n| 5 | 2, 2, 6, 7, 8 |\n| 6 | 0, 0, 1, 3, 5 |\n| 7 | 3, 3, 4, 9 |\n| 8 | 7 |\n| 9 | 0 |" } ] }, { "id": "4622", "image": "4622.png", "conversations": [ { "from": "human", "question": "The newspaper photographer logged how many pictures she had taken during the past 4 days. On which day did the photographer take the fewest pictures?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 222.\n\nNow find the corresponding day. Saturday corresponds to 222.", "answer": "Saturday", "table": "**Pictures taken**\n\n| Day | Number of pictures |\n| --- | --- |\n| Thursday | 275 |\n| Friday | 251 |\n| Saturday | 222 |\n| Sunday | 272 |" } ] }, { "id": "4624", "image": "4624.png", "conversations": [ { "from": "human", "question": "The players on a quiz show received the following scores. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n2, 4, 2, 2, 6, 5, 3\n\nFirst, arrange the numbers from least to greatest:\n\n2, 2, 2, 3, 4, 5, 6\n\nNow find the number in the middle.\n\n2, 2, 2, 3, 4, 5, 6\n\nThe number in the middle is 3.\n\nThe median is 3.", "answer": "3", "table": "**Quiz show scores**\n\n| Name | Score |\n| --- | --- |\n| Ernest | 2 |\n| Dan | 4 |\n| Kenny | 2 |\n| Austin | 2 |\n| Justine | 6 |\n| Lila | 5 |\n| Ryan | 3 |" } ] }, { "id": "4628", "image": "4628.png", "conversations": [ { "from": "human", "question": "A reporter counted the number of masks local artists made for this year's masquerade ball. How many artists made exactly 1 mask?\n" }, { "from": "gpt", "solution": "Find the row for 1 mask and read the frequency. The frequency is 10.\n\n10 artists made exactly1 mask.", "answer": "10", "table": "**Making paper masks**\n\n| Masks made | Frequency |\n| --- | --- |\n| 1 | 10 |\n| 2 | 7 |\n| 3 | 2 |\n| 4 | 4 |\n| 5 | 15 |\n| 6 | 11 |" } ] }, { "id": "4631", "image": "4631.png", "conversations": [ { "from": "human", "question": "A farmer wrote down how many kilograms of cherries were sold in the past 7 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n90, 86, 79, 92, 98, 96, 88\n\nFirst, arrange the numbers from least to greatest:\n\n79, 86, 88, 90, 92, 96, 98\n\nNow find the number in the middle.\n\n79, 86, 88, 90, 92, 96, 98\n\nThe number in the middle is 90.\n\nThe median is 90.", "answer": "90", "table": "**Cherries sold**\n\n| Day | Kilograms |\n| --- | --- |\n| Sunday | 90 |\n| Monday | 86 |\n| Tuesday | 79 |\n| Wednesday | 92 |\n| Thursday | 98 |\n| Friday | 96 |\n| Saturday | 88 |" } ] }, { "id": "4640", "image": "4640.png", "conversations": [ { "from": "human", "question": "A county agency recorded the money donated to several charitable causes over time. Which cause raised less money in April, hunger or medical research?\n" }, { "from": "gpt", "solution": "Find the April column. Compare the numbers in this column for hunger and medical research.\n\n$4.00 is less than $7.00. In April, less money was raised for medical research.", "answer": "medical research", "table": "**Donations received**\n\n| Cause | April | May |\n| --- | --- | --- |\n| Medical research | $4 | $18 |\n| Parks | $13 | $19 |\n| Hunger | $7 | $17 |" } ] }, { "id": "4644", "image": "4644.png", "conversations": [ { "from": "human", "question": "Evelyn has $6.00. Does she have enough to buy a stapler and a dry erase marker?\n" }, { "from": "gpt", "solution": "Add the price of a stapler and the price of a dry erase marker:\n\n$3.87 + $1.96 = $5.83\n\n$5.83 is less than $6.00. Evelyn does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| eraser | $1.06 |\n| dry erase marker | $1.96 |\n| pencil sharpener | $1.08 |\n| stapler | $3.87 |" } ] }, { "id": "4653", "image": "4653.png", "conversations": [ { "from": "human", "question": "The teachers at an elementary school counted how many desks they had in their classrooms. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n31, 30, 35, 32, 34\n\nFirst, arrange the numbers from least to greatest:\n\n30, 31, 32, 34, 35\n\nNow find the number in the middle.\n\n30, 31, 32, 34, 35\n\nThe number in the middle is 32.\n\nThe median is 32.", "answer": "32", "table": "**Desks in classrooms**\n\n| Teacher | Number of desks |\n| --- | --- |\n| Miss Petit | 31 |\n| Mr. Gruber | 30 |\n| Mr. Mehta | 35 |\n| Miss Gupta | 32 |\n| Mrs. Wong | 34 |" } ] }, { "id": "4660", "image": "4660.png", "conversations": [ { "from": "human", "question": "Some students compared how many clubs they belong to. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 9, 9, 5, 7\n\nFirst, arrange the numbers from least to greatest:\n\n5, 7, 9, 9, 9\n\nNow find the number in the middle.\n\n5, 7, 9, 9, 9\n\nThe number in the middle is 9.\n\nThe median is 9.", "answer": "9", "table": "**Clubs**\n\n| Name | Number of clubs |\n| --- | --- |\n| Sidney | 9 |\n| Jane | 9 |\n| Owen | 9 |\n| Mitchell | 5 |\n| Naomi | 7 |" } ] }, { "id": "4666", "image": "4666.png", "conversations": [ { "from": "human", "question": "An archer recalled how many times he hit the bull's-eye in the past 7 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n5, 8, 2, 6, 4, 5, 6\n\nFirst, find the greatest number. The greatest number is 8.\n\nNext, find the least number. The least number is 2.\n\nSubtract the least number from the greatest number:\n\n8 − 2 = 6\n\nThe range is 6.", "answer": "6", "table": "**Bull's-eyes**\n\n| Day | Number of bull's-eyes |\n| --- | --- |\n| Saturday | 5 |\n| Sunday | 8 |\n| Monday | 2 |\n| Tuesday | 6 |\n| Wednesday | 4 |\n| Thursday | 5 |\n| Friday | 6 |" } ] }, { "id": "4671", "image": "4671.png", "conversations": [ { "from": "human", "question": "What is the total cost for 2 pounds of egg salad?\n" }, { "from": "gpt", "solution": "Find the cost of the egg salad. Multiply the price per pound by the number of pounds.\n\n$5.75 × 2 = $11.50\n\nThe total cost is $11.50.", "answer": "11.50", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| green salad | $5.57/pound |\n| tuna salad | $3.01/pound |\n| macaroni salad | $3.70/pound |\n| egg salad | $5.75/pound |\n| fruit salad | $5.07/pound |" } ] }, { "id": "4676", "image": "4676.png", "conversations": [ { "from": "human", "question": "The transportation company tracked the number of train tickets sold in the past 5 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n24, 28, 26, 24, 20\n\nFirst, arrange the numbers from least to greatest:\n\n20, 24, 24, 26, 28\n\nNow find the number in the middle.\n\n20, 24, 24, 26, 28\n\nThe number in the middle is 24.\n\nThe median is 24.", "answer": "24", "table": "**Train tickets sold**\n\n| Day | Number of tickets |\n| --- | --- |\n| Tuesday | 24 |\n| Wednesday | 28 |\n| Thursday | 26 |\n| Friday | 24 |\n| Saturday | 20 |" } ] }, { "id": "4677", "image": "4677.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{10 - 3}{2 - 1}\n = \\frac{7}{1}\n = 7\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{17 - 10}{3 - 2}\n = \\frac{7}{1}\n = 7\nThe two rates of change are the same.\nIf you checked the rate of change between rows 1 and 3, you would find that it is also 7.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 1 | 3 |\n| 2 | 10 |\n| 3 | 17 |" } ] }, { "id": "4688", "image": "4688.png", "conversations": [ { "from": "human", "question": "Julie graphed the temperature at noon for 7 days. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n10, 10, 5, 7, 6, 6, 5\n\nFirst, count how many numbers are in the group.\n\nThere are 7 numbers.\n\nNow add all the numbers together:\n\n10 + 10 + 5 + 7 + 6 + 6 + 5 = 49\n\nNow divide the sum by the number of numbers:\n\n49 ÷ 7 = 7\n\nThe mean is 7.", "answer": "7", "table": "**Temperature at noon**\n\n| Day | Temperature (°C) |\n| --- | --- |\n| Thursday | 10 |\n| Friday | 10 |\n| Saturday | 5 |\n| Sunday | 7 |\n| Monday | 6 |\n| Tuesday | 6 |\n| Wednesday | 5 |" } ] }, { "id": "4692", "image": "4692.png", "conversations": [ { "from": "human", "question": "Each branch has 2 oranges. How many oranges are on 3 branches?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 6 oranges on 3 branches.", "answer": "6", "table": "| Number of branches | Number of oranges |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | ? |" } ] }, { "id": "4693", "image": "4693.png", "conversations": [ { "from": "human", "question": "How much more does a mixing bowl cost than a rolling pin?\n" }, { "from": "gpt", "solution": "Subtract the price of a rolling pin from the price of a mixing bowl.\n\n$6.49 - $4.94 = $1.55\n\nA mixing bowl costs $1.55 more than a rolling pin.", "answer": "1.55", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| rolling pin | $4.94 |\n| casserole dish | $8.60 |\n| coffee mug | $2.61 |\n| mixing bowl | $6.49 |\n| large plate | $5.46 |" } ] }, { "id": "4695", "image": "4695.png", "conversations": [ { "from": "human", "question": "A city planner counted the number of floors per building in the downtown area. How many buildings have exactly 50 floors?\n" }, { "from": "gpt", "solution": "For the number 50, the stem is 5, and the leaf is 0. Find the row where the stem is 5. In that row, count all the leaves equal to 0.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 buildings have exactly 50 floors.", "answer": "4", "table": "**Floors per building**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1, 2, 3 |\n| 2 | |\n| 3 | 5, 8 |\n| 4 | 7, 8 |\n| 5 | 0, 0, 0, 0 |\n| 6 | |\n| 7 | 1, 2, 4, 6, 8 |" } ] }, { "id": "4698", "image": "4698.png", "conversations": [ { "from": "human", "question": "How much money does Marshall need to buy 3 banana cream pies and 9 pear tarts?\n" }, { "from": "gpt", "solution": "Find the cost of 3 banana cream pies.\n\n$9.20 × 3 = $27.60\n\nFind the cost of 9 pear tarts.\n\n$9.22 × 9 = $82.98\n\nNow find the total cost.\n\n$27.60 + $82.98 = $110.58\n\nMarshall needs $110.58.", "answer": "110.58", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pear tart | $9.22 |\n| apple tart | $9.04 |\n| chocolate cheesecake | $9.72 |\n| banana cream pie | $9.20 |" } ] }, { "id": "4717", "image": "4717.png", "conversations": [ { "from": "human", "question": "During Fitness Day at school, Kevin and his classmates took part in a pull-up competition, keeping track of the results. How many people did exactly 74 pull-ups?\n" }, { "from": "gpt", "solution": "For the number 74, the stem is 7, and the leaf is 4. Find the row where the stem is 7. In that row, count all the leaves equal to 4.\n\nYou counted 0 leaves. 0 people did exactly 74 pull-ups.", "answer": "0", "table": "**Pull-up competition (number of pull-ups)**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 8 |\n| 3 | 2, 6 |\n| 4 | 1, 6, 7 |\n| 5 | 2, 2 |\n| 6 | 3, 5, 7, 7, 8, 8 |\n| 7 | 3, 3, 3, 5 |\n| 8 | 2 |\n| 9 | 0 |" } ] }, { "id": "4719", "image": "4719.png", "conversations": [ { "from": "human", "question": "Students at Arcadia High School were polled regarding their favorite drinks. What fraction of students preferred diet cola? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many students preferred diet cola.\n\n880\n\nFind how many students were polled in total.\n\n750 + 880 + 900 + 520 + 620 = 3,670\n\nDivide 880 by 3,670.\n\n\\frac{880}{3,670}\n\nReduce the fraction.\n\n\\frac{880}{3,670} → \\frac{88}{367}\n\n\\frac{88}{367} of students preferred diet cola.", "answer": "88/367", "table": "**Drink preferences**\n\n| Drink | Number of students |\n| --- | --- |\n| Root beer | 750 |\n| Diet cola | 880 |\n| Cola | 900 |\n| Lemonade | 520 |\n| Other | 620 |" } ] }, { "id": "4720", "image": "4720.png", "conversations": [ { "from": "human", "question": "Each bracelet has 10 diamonds. How many diamonds are on 3 bracelets?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 30 diamonds on 3 bracelets.", "answer": "30", "table": "| Number of bracelets | Number of diamonds |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | ? |" } ] }, { "id": "4721", "image": "4721.png", "conversations": [ { "from": "human", "question": "Martin looked at the dates of the digital photos on his computer to find out how many he had taken in the past 4 days. On which day did Martin take the fewest photographs?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 30.\n\nNow find the corresponding day. Sunday corresponds to 30.", "answer": "Sunday", "table": "**Photographs taken**\n\n| Day | Number of photographs |\n| --- | --- |\n| Thursday | 38 |\n| Friday | 37 |\n| Saturday | 39 |\n| Sunday | 30 |" } ] }, { "id": "4723", "image": "4723.png", "conversations": [ { "from": "human", "question": "Billy is shopping for a new bicycle. He is most interested in color and type of tires. What is the probability that a randomly selected bike is green and has road bike tires? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the bike is green\" and B be the event \"the bike has road bike tires\".\nTo find the probability that a bike is green and has road bike tires, first identify the sample space and the event.\nThe outcomes in the sample space are the different bikes. Each bike is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the bike is green and has road bike tires\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the bike is green and has road bike tires\", so look at the table to see how many bikes are a green and have road bike tires.\nThe number of bikes that are a green and have road bike tires is 2.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of bikes.\n5 + 2 + 2 + 2 = 11\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{2}{11}\nThe probability that a bike is green and has road bike tires is \\frac{2}{11}.", "answer": "2/11", "table": "| | Road bike tires | Mountain bike tires |\n| --- | --- | --- |\n| Red | 5 | 2 |\n| Green | 2 | 2 |" } ] }, { "id": "4724", "image": "4724.png", "conversations": [ { "from": "human", "question": "A theme park developer recorded the number of people who visited the local water park last summer. How many people went to the water park fewer than 2 times?\n" }, { "from": "gpt", "solution": "Find the row for 1 time and read the frequency. The frequency is 1.\n\n1 person went to the water park fewer than 2 times.", "answer": "1", "table": "**Going to the water park last summer**\n\n| Number of trips | Frequency |\n| --- | --- |\n| 1 | 1 |\n| 2 | 6 |\n| 3 | 13 |\n| 4 | 5 |" } ] }, { "id": "4730", "image": "4730.png", "conversations": [ { "from": "human", "question": "Kenneth has $1,614.00. Does he have enough to buy a surfing adventure package and a camping adventure package?\n" }, { "from": "gpt", "solution": "Add the price of a surfing adventure package and the price of a camping adventure package:\n\n$904.00 + $641.00 = $1,545.00\n\n$1,545.00 is less than $1,614.00. Kenneth does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| deep-sea fishing package | $987.00 |\n| surfing adventure package | $904.00 |\n| sailing trip package | $744.00 |\n| camping adventure package | $641.00 |\n| parachuting adventure package | $738.00 |\n| whale-watching adventure package | $608.00 |" } ] }, { "id": "4732", "image": "4732.png", "conversations": [ { "from": "human", "question": "Each aquarium has 5 frogs. How many frogs are in 6 aquariums?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 30 frogs in 6 aquariums.", "answer": "30", "table": "| Number of aquariums | Number of frogs |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | 20 |\n| 5 | 25 |\n| 6 | ? |" } ] }, { "id": "4734", "image": "4734.png", "conversations": [ { "from": "human", "question": "A dentist was making note of his upcoming appointments with different aged patients and the reasons for their visits. What is the probability that a randomly selected appointment is with patients 19-60 years old and is for a broken tooth? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the appointment is with patients 19-60 years old\" and B be the event \"the appointment is for a broken tooth\".\nTo find the probability that a appointment is with patients 19-60 years old and is for a broken tooth, first identify the sample space and the event.\nThe outcomes in the sample space are the different appointments. Each appointment is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the appointment is with patients 19-60 years old and is for a broken tooth\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the appointment is with patients 19-60 years old and is for a broken tooth\", so look at the table to see how many appointments are with patients 19-60 years old and are for a broken tooth.\nThe number of appointments that are with patients 19-60 years old and are for a broken tooth is 5.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of appointments.\n3 + 3 + 2 + 5 = 13\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{5}{13}\nThe probability that a appointment is with patients 19-60 years old and is for a broken tooth is \\frac{5}{13}.", "answer": "5/13", "table": "| | Regular cleaning | Broken tooth |\n| --- | --- | --- |\n| Patients under 18 years old | 3 | 2 |\n| Patients 19-60 years old | 3 | 5 |" } ] }, { "id": "4737", "image": "4737.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{10 - 15}{5 - 4}\n = \\frac{-5}{1}\n = -5\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{4 - 15}{6 - 4}\n = \\frac{-11}{2}\n = -5\\frac{1}{2}\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 4 | 15 |\n| 5 | 10 |\n| 6 | 4 |" } ] }, { "id": "4738", "image": "4738.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does the football game end?\n" }, { "from": "gpt", "solution": "Find the football game on the schedule. Find the end time for the football game.\n\nfootball game: 2:05 P. M.", "answer": "2:05 P.M.", "table": "**University sports schedule**\n\n| Event | Begin | End |\n| --- | --- | --- |\n| football game | 11:50 A.M. | 2:05 P.M. |\n| men's volleyball game | 1:15 P.M. | 2:50 P.M. |\n| swim meet | 1:50 P.M. | 3:00 P.M. |\n| diving meet | 2:30 P.M. | 5:40 P.M. |\n| women's basketball game | 5:10 P.M. | 6:40 P.M. |" } ] }, { "id": "4740", "image": "4740.png", "conversations": [ { "from": "human", "question": "How much money does Sasha need to buy a gold tack and an elastic band?\n" }, { "from": "gpt", "solution": "Add the price of a gold tack and the price of an elastic band:\n\n$0.05 + $0.03 = $0.08\n\nSasha needs $0.08.", "answer": "0.08", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| brass clip | $0.08 |\n| elastic band | $0.03 |\n| gold tack | $0.05 |\n| four-inch nail | $0.03 |\n| small metal hook | $0.01 |" } ] }, { "id": "4751", "image": "4751.png", "conversations": [ { "from": "human", "question": "Carly went to the store and bought 1+1/10 pounds of coffee ice cream. How much did she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the coffee ice cream. Multiply the price per pound by the number of pounds.\n$6 × 1\\frac{1}{10} = $6 × 1.1 = $6.60\nShe spent $6.60.", "answer": "6.60", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| cookie dough ice cream | $3 per pound |\n| mint ice cream | $5 per pound |\n| coffee ice cream | $6 per pound |\n| double chocolate ice cream | $5 per pound |\n| strawberry ice cream | $3 per pound |\n| cherry ice cream | $5 per pound |" } ] }, { "id": "4753", "image": "4753.png", "conversations": [ { "from": "human", "question": "To get to know her students better, Ms. Garner surveyed her math students to determine what hobbies and school subjects they prefer. What is the probability that a randomly selected student prefers literature and enjoys student council? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the student prefers literature\" and B be the event \"the student enjoys student council\".\nTo find the probability that a student prefers literature and enjoys student council, first identify the sample space and the event.\nThe outcomes in the sample space are the different students. Each student is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the student prefers literature and enjoys student council\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the student prefers literature and enjoys student council\", so look at the table to see how many students prefer literature and enjoy student council.\nThe number of students who prefer literature and enjoy student council is 6.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of students.\n6 + 3 + 3 + 6 = 18\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{6}{18}\n = \\frac{1}{3}\nThe probability that a student prefers literature and enjoys student council is \\frac{1}{3}.", "answer": "1/3", "table": "| | Poetry | Student council |\n| --- | --- | --- |\n| Math | 6 | 3 |\n| Literature | 3 | 6 |" } ] }, { "id": "4755", "image": "4755.png", "conversations": [ { "from": "human", "question": "An author recorded how many words she wrote in the past 5 days. How many words in total did the author write on Thursday and Saturday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nThursday: 4,774\nSaturday: 2,556\n\nNow add: 4,774 + 2,556 = 7,330.\n\nThe author wrote 7,330 words on Thursday and Saturday.", "answer": "7,330", "table": "**Words written**\n\n| Day | Number of words |\n| --- | --- |\n| Tuesday | 3,326 |\n| Wednesday | 1,985 |\n| Thursday | 4,774 |\n| Friday | 2,608 |\n| Saturday | 2,556 |" } ] }, { "id": "4758", "image": "4758.png", "conversations": [ { "from": "human", "question": "A farmer wrote down how many kilograms of cherries were sold in the past 4 days. How many more kilograms of cherries were sold on Monday than on Sunday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nMonday: 819\nSunday: 546\n\nNow subtract: 819 - 546 = 273.\n\n273 more kilograms of cherries were sold on Monday.", "answer": "273", "table": "**Cherries sold**\n\n| Day | Kilograms |\n| --- | --- |\n| Saturday | 646 |\n| Sunday | 546 |\n| Monday | 819 |\n| Tuesday | 127 |" } ] }, { "id": "4766", "image": "4766.png", "conversations": [ { "from": "human", "question": "How much money does Kimberly need to buy a football ticket, a soccer ticket, and a hockey ticket?\n" }, { "from": "gpt", "solution": "Find the total cost of a football ticket, a soccer ticket, and a hockey ticket.\n\n$81 + $52 + $36 = $169\n\nKimberly needs $169.", "answer": "169", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| hockey ticket | $36 |\n| golf ticket | $39 |\n| basketball ticket | $78 |\n| baseball ticket | $34 |\n| football ticket | $81 |\n| soccer ticket | $52 |" } ] }, { "id": "4769", "image": "4769.png", "conversations": [ { "from": "human", "question": "Bert wanted to know if there was a connection between his coffee consumption and how well he slept that night. For weeks, Bert recorded how many cups of coffee he drank in the morning and how many hours he slept that night. What is the probability that a randomly selected day is one when he drank exactly 0 cups of coffee and is one when he slept exactly 7 hours? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the day is one when he drank exactly 0 cups of coffee\" and B be the event \"the day is one when he slept exactly 7 hours\".\nTo find the probability that a day is one when he drank exactly 0 cups of coffee and is one when he slept exactly 7 hours, first identify the sample space and the event.\nThe outcomes in the sample space are the different days. Each day is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the day is one when he drank exactly 0 cups of coffee and is one when he slept exactly 7 hours\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the day is one when he drank exactly 0 cups of coffee and is one when he slept exactly 7 hours\", so look at the table to see how many days are ones when he drank exactly 0 cups of coffee and are ones when he slept exactly 7 hours.\nThe number of days that are ones when he drank exactly 0 cups of coffee and are ones when he slept exactly 7 hours is 4.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of days.\n2 + 2 + 4 + 4 = 12\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{4}{12}\n = \\frac{1}{3}\nThe probability that a day is one when he drank exactly 0 cups of coffee and is one when he slept exactly 7 hours is \\frac{1}{3}.", "answer": "1/3", "table": "| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| | 6 hours | 7 hours |\n| 0 cups of coffee | 2 | 4 |\n| 1 cup of coffee | 2 | 4 |" } ] }, { "id": "4772", "image": "4772.png", "conversations": [ { "from": "human", "question": "Look at Victor's pay stub. Victor lives in a state that has state income tax. How much did Victor make after taxes?\n" }, { "from": "gpt", "solution": "Find how much Victor made after taxes. Find the total payroll tax, then subtract it from the total earnings.\nTo find the total payroll tax, add the federal income tax, state income tax, and other taxes.\nThe total earnings are $1,100.00. The total payroll tax is $318.63. Subtract to find the difference.\n$1,100.00 - $318.63 = $781.37\nVictor made $781.37 after taxes.", "answer": "781.37", "table": "| Employee | Pay period | |\n| --- | --- | --- |\n| Victor Alexander | September 1-7 | |\n| Total earnings | | $1,100.00 |\n| Federal income tax | $155.33 | |\n| State income tax | $79.30 | |\n| Other taxes | $84.00 | |\n| Total taxes | | ? |\n| Pay after taxes | | ? |" } ] }, { "id": "4776", "image": "4776.png", "conversations": [ { "from": "human", "question": "Peter counted the number of peanuts in each bag of trail mix. How many bags had exactly 60 peanuts?\n" }, { "from": "gpt", "solution": "For the number 60, the stem is 6, and the leaf is 0. Find the row where the stem is 6. In that row, count all the leaves equal to 0.\n\nYou counted 0 leaves. 0 bags had exactly 60 peanuts.", "answer": "0", "table": "**Peanuts per bag of trail mix**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 4, 5, 5 |\n| 3 | 0, 1, 3, 9 |\n| 4 | 4 |\n| 5 | 2, 6, 7 |\n| 6 | 6 |\n| 7 | 3, 6, 9 |" } ] }, { "id": "4778", "image": "4778.png", "conversations": [ { "from": "human", "question": "How much more does a long-sleeved shirt cost than a purple T-shirt?\n" }, { "from": "gpt", "solution": "Subtract the price of a purple T-shirt from the price of a long-sleeved shirt.\n\n$7 - $3 = $4\n\nA long-sleeved shirt costs $4 more than a purple T-shirt.", "answer": "4", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| orange T-shirt | $4 |\n| purple T-shirt | $3 |\n| long-sleeved shirt | $7 |\n| blue tank top | $9 |\n| red sweater | $4 |" } ] }, { "id": "4781", "image": "4781.png", "conversations": [ { "from": "human", "question": "A pretzel stand owner kept track of the number of pretzels sold during the past 4 days. On which day did the stand sell the fewest pretzels?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 338.\n\nNow find the corresponding day. Monday corresponds to 338.", "answer": "Monday", "table": "**Pretzels sold**\n\n| Day | Number of pretzels |\n| --- | --- |\n| Saturday | 393 |\n| Sunday | 389 |\n| Monday | 338 |\n| Tuesday | 398 |" } ] }, { "id": "4783", "image": "4783.png", "conversations": [ { "from": "human", "question": "In a recent election at Johnston University, five people ran for student body president. What fraction of votes were for Duncan? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many votes were for Duncan.\n\n670\n\nFind how many votes there were in total.\n\n670 + 380 + 570 + 440 + 370 = 2,430\n\nDivide 670 by2,430.\n\n\\frac{670}{2,430}\n\nReduce the fraction.\n\n\\frac{670}{2,430} → \\frac{67}{243}\n\n\\frac{67}{243} of votes were for Duncan.", "answer": "67/243", "table": "**Election results**\n\n| Candidate | Votes |\n| --- | --- |\n| Duncan | 670 |\n| Suzie | 380 |\n| Nate | 570 |\n| Shivani | 440 |\n| Janice | 370 |" } ] }, { "id": "4788", "image": "4788.png", "conversations": [ { "from": "human", "question": "Each year the Newberg School District publishes its annual budget, which includes information on the sports program's per-student spending. According to the table, what was the rate of change between 2018 and 2019?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{$45 - $42}{2019 - 2018}\n = \\frac{$45 - $42}{1 year}\n = \\frac{$3}{1 year}\n = $3 per year\nThe rate of change between 2018 and 2019 was $3 per year.", "answer": "3", "table": "**Newberg School District sports budget**\n\n| Year | Per-student budget |\n| --- | --- |\n| 2017 | $44 |\n| 2018 | $42 |\n| 2019 | $45 |\n| 2020 | $49 |\n| 2021 | $49 |" } ] }, { "id": "4791", "image": "4791.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{10 - 8}{5 - 4}\n = \\frac{2}{1}\n = 2\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{18 - 10}{6 - 5}\n = \\frac{8}{1}\n = 8\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 4 | 8 |\n| 5 | 10 |\n| 6 | 18 |" } ] }, { "id": "4792", "image": "4792.png", "conversations": [ { "from": "human", "question": "Fans of the Salem baseball team compared the number of games won by their team each year. According to the table, what was the rate of change between 2019 and 2020?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{42 games - 37 games}{2020 - 2019}\n = \\frac{42 games - 37 games}{1 year}\n = \\frac{5 games}{1 year}\n = 5 games per year\nThe rate of change between 2019 and 2020 was 5 games per year.", "answer": "5", "table": "**Games won by the Salem baseball team**\n\n| Year | Games won |\n| --- | --- |\n| 2017 | 38 |\n| 2018 | 36 |\n| 2019 | 37 |\n| 2020 | 42 |\n| 2021 | 33 |" } ] }, { "id": "4797", "image": "4797.png", "conversations": [ { "from": "human", "question": "The bird-watching club recorded how many birds its members saw each month. How many birds total did the club see in October and December?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nOctober: 1,426\nDecember: 2,986\n\nNow add: 1,426 + 2,986 = 4,412.\n\nThe club saw 4,412 birds in October and December.", "answer": "4,412", "table": "**Number of birds seen**\n\n| Month | Number of birds |\n| --- | --- |\n| September | 5,975 |\n| October | 1,426 |\n| November | 2,750 |\n| December | 2,986 |" } ] }, { "id": "4803", "image": "4803.png", "conversations": [ { "from": "human", "question": "Arianna wants to buy 1.6 pounds of potatoes. How much will she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the potatoes. Multiply the price per pound by the number of pounds.\n$1 × 1.6 = $1.60\nShe will spend $1.60.", "answer": "1.60", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| potatoes | $1/lb |\n| cucumbers | $3/lb |\n| yams | $1/lb |\n| zucchini | $3/lb |\n| beets | $1/lb |\n| carrots | $2/lb |" } ] }, { "id": "4808", "image": "4808.png", "conversations": [ { "from": "human", "question": "For a class assignment, Ian wanted to study whether or not the color of a person's car correlates with the color of his or her hair. He spent an hour at a stoplight recording the color of each car that passed and the hair color of its driver. What is the probability that a randomly selected driver has a red car and has blonde hair? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the driver has a red car\" and B be the event \"the driver has blonde hair\".\nTo find the probability that a driver has a red car and has blonde hair, first identify the sample space and the event.\nThe outcomes in the sample space are the different drivers. Each driver is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the driver has a red car and has blonde hair\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the driver has a red car and has blonde hair\", so look at the table to see how many drivers have a red car and have blonde hair.\nThe number of drivers who have a red car and have blonde hair is 4.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of drivers.\n5 + 7 + 4 + 2 = 18\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{4}{18}\n = \\frac{2}{9}\nThe probability that a driver has a red car and has blonde hair is \\frac{2}{9}.", "answer": "2/9", "table": "| | Red hair | Blonde hair |\n| --- | --- | --- |\n| Red car | 5 | 4 |\n| Blue car | 7 | 2 |" } ] }, { "id": "4824", "image": "4824.png", "conversations": [ { "from": "human", "question": "After a census, 4 nearby towns compared their populations. Which town has the smallest population?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 228.\n\nNow find the corresponding town. Mountainville corresponds to 228.", "answer": "Mountainville", "table": "**Town populations**\n\n| Town | Population |\n| --- | --- |\n| Lake City | 232 |\n| Ocean View | 283 |\n| Ridge Crest | 238 |\n| Mountainville | 228 |" } ] }, { "id": "4826", "image": "4826.png", "conversations": [ { "from": "human", "question": "Some friends played a trivia game and recorded their scores. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n10, 6, 8, 9, 3, 3, 5, 4\n\nFirst, count how many numbers are in the group.\n\nThere are 8 numbers.\n\nNow add all the numbers together:\n\n10 + 6 + 8 + 9 + 3 + 3 + 5 + 4 = 48\n\nNow divide the sum by the number of numbers:\n\n48 ÷ 8 = 6\n\nThe mean is 6.", "answer": "6", "table": "**Trivia game scores**\n\n| Name | Score |\n| --- | --- |\n| Greg | 10 |\n| Omar | 6 |\n| Wesley | 8 |\n| Molly | 9 |\n| Kiera | 3 |\n| Jackson | 3 |\n| Desmond | 5 |\n| Spencer | 4 |" } ] }, { "id": "4827", "image": "4827.png", "conversations": [ { "from": "human", "question": "Tara has $110. Does she have enough to buy a cockatoo and a pot-bellied pig?\n" }, { "from": "gpt", "solution": "Add the price of a cockatoo and the price of a pot-bellied pig:\n\n$89 + $25 = $114\n\n$114 is more than $110. Tara does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| bearded dragon | $36 |\n| hedgehog | $79 |\n| cockatoo | $89 |\n| pot-bellied pig | $25 |" } ] }, { "id": "4846", "image": "4846.png", "conversations": [ { "from": "human", "question": "Natalie graphed the temperature at noon for 7 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 5, 4, 5, 4, 5, 6\n\nFirst, find the greatest number. The greatest number is 6.\n\nNext, find the least number. The least number is 4.\n\nSubtract the least number from the greatest number:\n\n6 − 4 = 2\n\nThe range is 2.", "answer": "2", "table": "**Temperature at noon**\n\n| Day | Temperature (°C) |\n| --- | --- |\n| Wednesday | 6 |\n| Thursday | 5 |\n| Friday | 4 |\n| Saturday | 5 |\n| Sunday | 4 |\n| Monday | 5 |\n| Tuesday | 6 |" } ] }, { "id": "4852", "image": "4852.png", "conversations": [ { "from": "human", "question": "Convinced that he could do well as a competitor, Isaac tracked the scores on a TV game show over the course of a week. How many people scored less than 7?\n" }, { "from": "gpt", "solution": "Find the rows for 5 and 6. Add the frequencies for these rows.\n\nAdd:\n\n10 + 5 = 15\n\n15 people scored less than 7.", "answer": "15", "table": "**Scores on a TV game show**\n\n| Score | Frequency |\n| --- | --- |\n| 5 | 10 |\n| 6 | 5 |\n| 7 | 0 |\n| 8 | 17 |\n| 9 | 2 |\n| 10 | 3 |" } ] }, { "id": "4856", "image": "4856.png", "conversations": [ { "from": "human", "question": "If Judith buys 3+9/10 kilograms of felt scraps, how much will she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the felt scraps. Multiply the price per kilogram by the number of kilograms.\n$4 × 3\\frac{9}{10} = $4 × 3.9 = $15.60\nShe will spend $15.60.", "answer": "15.60", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| canvas scraps | $4/kilogram |\n| silk scraps | $3/kilogram |\n| felt scraps | $4/kilogram |\n| faux fur scraps | $4/kilogram |" } ] }, { "id": "4858", "image": "4858.png", "conversations": [ { "from": "human", "question": "How much money does Deb need to buy 5 red pillowcases and 2 green kitchen towels?\n" }, { "from": "gpt", "solution": "Find the cost of 5 red pillowcases.\n\n$1.42 × 5 = $7.10\n\nFind the cost of 2 green kitchen towels.\n\n$4.24 × 2 = $8.48\n\nNow find the total cost.\n\n$7.10 + $8.48 = $15.58\n\nDeb needs $15.58.", "answer": "15.58", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| flannel sheet | $9.66 |\n| red pillowcase | $1.42 |\n| green kitchen towel | $4.24 |\n| navy blue bath mat | $7.67 |\n| beach blanket | $5.87 |\n| beach towel | $6.86 |" } ] }, { "id": "4862", "image": "4862.png", "conversations": [ { "from": "human", "question": "For a psychology assignment, Garrett kept a sleep log for 7 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 8, 9, 7, 10, 7, 6\n\nFirst, arrange the numbers from least to greatest:\n\n6, 7, 7, 7, 8, 9, 10\n\nNow find the number in the middle.\n\n6, 7, 7, 7, 8, 9, 10\n\nThe number in the middle is 7.\n\nThe median is 7.", "answer": "7", "table": "**Hours slept**\n\n| Day | Hours |\n| --- | --- |\n| Wednesday | 7 |\n| Thursday | 8 |\n| Friday | 9 |\n| Saturday | 7 |\n| Sunday | 10 |\n| Monday | 7 |\n| Tuesday | 6 |" } ] }, { "id": "4867", "image": "4867.png", "conversations": [ { "from": "human", "question": "Fernando's class recorded how many states each student has visited. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 7, 5, 9, 3, 4, 9\n\nFirst, find the greatest number. The greatest number is 9.\n\nNext, find the least number. The least number is 3.\n\nSubtract the least number from the greatest number:\n\n9 − 3 = 6\n\nThe range is 6.", "answer": "6", "table": "**States visited**\n\n| Name | Number of states |\n| --- | --- |\n| Fernando | 6 |\n| Sarah | 7 |\n| Jenna | 5 |\n| Tucker | 9 |\n| Zachary | 3 |\n| Lacey | 4 |\n| Edward | 9 |" } ] }, { "id": "4871", "image": "4871.png", "conversations": [ { "from": "human", "question": "While doing a project for P. E. class, Aaliyah researched the number of athletes competing in an international sporting event. How many countries have at least 20 athletes but fewer than 60 athletes?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 2, 3, 4, and 5.\n\nYou counted 17 leaves, which are blue in the stem-and-leaf plot above. 17 countries have at least 20 athletes but fewer than 60 athletes.", "answer": "17", "table": "**Athletes per country**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 2, 6 |\n| 3 | 1, 3, 3, 8 |\n| 4 | 0, 1, 1, 6, 6, 8, 8 |\n| 5 | 0, 2, 3, 7 |\n| 6 | 0, 1, 2, 4, 5, 5, 7, 7 |" } ] }, { "id": "4876", "image": "4876.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{8 - 18}{19 - 18}\n = \\frac{-10}{1}\n = -10\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{0 - 8}{20 - 19}\n = \\frac{-8}{1}\n = -8\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 18 | 18 |\n| 19 | 8 |\n| 20 | 0 |" } ] }, { "id": "4880", "image": "4880.png", "conversations": [ { "from": "human", "question": "Angie has $17.00. Does she have enough to buy a pair of shorts and a pair of tennis shoes?\n" }, { "from": "gpt", "solution": "Add the price of a pair of shorts and the price of a pair of tennis shoes:\n\n$7.68 + $9.51 = $17.19\n\n$17.19 is more than $17.00. Angie does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pair of tennis shoes | $9.51 |\n| green dress | $6.50 |\n| pair of shorts | $7.68 |\n| pair of boots | $5.00 |\n| pair of sweat pants | $6.71 |" } ] }, { "id": "4882", "image": "4882.png", "conversations": [ { "from": "human", "question": "A pizza delivery driver paid attention to how many pizzas she delivered over the past 6 days. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n4, 1, 0, 4, 1, 1\n\nFirst, arrange the numbers from least to greatest:\n\n0, 1, 1, 1, 4, 4\n\nNow count how many times each number appears.\n\n0 appears 1 time.\n1 appears 3 times.\n4 appears 2 times.\n\nThe number that appears most often is 1.\n\nThe mode is 1.", "answer": "1", "table": "**Pizzas delivered**\n\n| Day | Number of pizzas |\n| --- | --- |\n| Wednesday | 4 |\n| Thursday | 1 |\n| Friday | 0 |\n| Saturday | 4 |\n| Sunday | 1 |\n| Monday | 1 |" } ] }, { "id": "4889", "image": "4889.png", "conversations": [ { "from": "human", "question": "A statistics lab required students to draw cards numbered between 1 and 6 and track the results. Which number was drawn the fewest times?\n" }, { "from": "gpt", "solution": "Look at the frequency column. Find the least frequency. The least frequency is 0, which is in the row for 3. 3 was drawn the fewest times.", "answer": "3", "table": "**Drawing a number between 1 and 6**\n\n| Number drawn | Frequency |\n| --- | --- |\n| 1 | 16 |\n| 2 | 11 |\n| 3 | 0 |\n| 4 | 4 |\n| 5 | 14 |\n| 6 | 2 |" } ] }, { "id": "4913", "image": "4913.png", "conversations": [ { "from": "human", "question": "The owner of a plant nursery wrote down the number of roses on each bush. How many bushes have at least 80 roses but fewer than 100 roses?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 8 and 9.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 bushes have at least 80 roses but fewer than 100 roses.", "answer": "3", "table": "**Roses per bush**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 1, 1 |\n| 4 | 1, 3, 9 |\n| 5 | |\n| 6 | 0 |\n| 7 | 3 |\n| 8 | 4, 6 |\n| 9 | 0 |" } ] }, { "id": "4916", "image": "4916.png", "conversations": [ { "from": "human", "question": "A real estate agent counted the number of offices per floor in the building he is selling. How many floors have exactly 17 offices?\n" }, { "from": "gpt", "solution": "For the number 17, the stem is 1, and the leaf is 7. Find the row where the stem is 1. In that row, count all the leaves equal to 7.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 floors have exactly17 offices.", "answer": "2", "table": "**Offices per floor**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1, 7, 7, 8 |\n| 2 | 4, 4, 4, 5, 8, 8 |\n| 3 | 7, 9 |\n| 4 | 4, 5 |\n| 5 | 4, 7, 9 |" } ] }, { "id": "4920", "image": "4920.png", "conversations": [ { "from": "human", "question": "How much money does Lena need to buy a bulldozer, a dump truck, and a hydrofoil?\n" }, { "from": "gpt", "solution": "Find the total cost of a bulldozer, a dump truck, and a hydrofoil.\n\n$7,768.00 + $6,637.00 + $8,453.00 = $22,858.00\n\nLena needs $22,858.00.", "answer": "22,858", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| hydrofoil | $8,453.00 |\n| bulldozer | $7,768.00 |\n| dump truck | $6,637.00 |\n| race car | $8,738.00 |" } ] }, { "id": "4921", "image": "4921.png", "conversations": [ { "from": "human", "question": "Jason jotted down how many minutes he spent practicing soccer in the past 4 days. On which day did Jason practice the least?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 90.\n\nNow find the corresponding day. Tuesday corresponds to 90.", "answer": "Tuesday", "table": "**Minutes spent practicing**\n\n| Day | Minutes |\n| --- | --- |\n| Saturday | 93 |\n| Sunday | 94 |\n| Monday | 96 |\n| Tuesday | 90 |" } ] }, { "id": "4934", "image": "4934.png", "conversations": [ { "from": "human", "question": "An actor was informed how many fan letters he received each day. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n4, 3, 2, 3, 4\n\nFirst, arrange the numbers from least to greatest:\n\n2, 3, 3, 4, 4\n\nNow find the number in the middle.\n\n2, 3, 3, 4, 4\n\nThe number in the middle is 3.\n\nThe median is 3.", "answer": "3", "table": "**Fan letters received**\n\n| Day | Number of fan letters |\n| --- | --- |\n| Tuesday | 4 |\n| Wednesday | 3 |\n| Thursday | 2 |\n| Friday | 3 |\n| Saturday | 4 |" } ] }, { "id": "4937", "image": "4937.png", "conversations": [ { "from": "human", "question": "Each bin has 10 yellow blocks. How many yellow blocks are in 3 bins?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 30 yellow blocks in 3 bins.", "answer": "30", "table": "| Number of bins | Number of yellow blocks |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | ? |" } ] }, { "id": "4951", "image": "4951.png", "conversations": [ { "from": "human", "question": "Monica has $1.50. Does she have enough to buy a comb and a bottle of nail polish?\n" }, { "from": "gpt", "solution": "Add the price of a comb and the price of a bottle of nail polish:\n\n$0.85 + $0.99 = $1.84\n\n$1.84 is more than $1.50. Monica does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| box of tissues | $0.93 |\n| hair tie | $0.99 |\n| bar of soap | $0.59 |\n| bottle of nail polish | $0.99 |\n| comb | $0.85 |" } ] }, { "id": "4954", "image": "4954.png", "conversations": [ { "from": "human", "question": "Students at Cedarburg Middle School wrote and submitted poems for a district-wide writing contest. How many students wrote fewer than 2 poems?\n" }, { "from": "gpt", "solution": "Find the row for 1 poem and read the frequency. The frequency is 18.\n\n18 students wrote fewer than 2 poems.", "answer": "18", "table": "**Writing poems**\n\n| Poems written | Frequency |\n| --- | --- |\n| 1 | 18 |\n| 2 | 20 |\n| 3 | 11 |\n| 4 | 7 |" } ] }, { "id": "4956", "image": "4956.png", "conversations": [ { "from": "human", "question": "This table shows information about two occupations. In which occupation would someone follow a suspect for a crime?\n" }, { "from": "gpt", "solution": "Look at the description for each occupation.\nA lawyer represents their clients in court, so they need to perform research and prepare documents. They do most of their work in an office.\nA detective collects evidence about criminal cases. They may need to follow a suspect for a crime.", "answer": "detective", "table": "| | Lawyer | Detective |\n| --- | --- | --- |\n| Description | Lawyers advise and represent individuals, businesses, and government agencies on legal issues. | Detectives collect evidence and conduct interviews to investigate criminal cases. |\n| Typical education required | Doctoral degree from a law school and license obtained by passing a state's bar exam | Bachelor's degree, often in law enforcement or criminal justice |\n| Median income | $121,000 per year | $63,500 per year |" } ] }, { "id": "4972", "image": "4972.png", "conversations": [ { "from": "human", "question": "The librarian at the public library counted the number of books on each shelf. How many shelves have at least 23 books but fewer than 35 books?\n" }, { "from": "gpt", "solution": "Find the row with stem 2. Count all the leaves greater than or equal to 3.\n\nIn the row with stem 3, count all the leaves less than 5.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plots above. 3 shelves have at least 23 books but fewer than 35 books.", "answer": "3", "table": "**Books per shelf**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 3, 7 |\n| 3 | 3, 5, 9 |\n| 4 | |\n| 5 | 5 |\n| 6 | 8 |\n| 7 | 6, 7 |\n| 8 | 2, 5 |\n| 9 | 0 |" } ] }, { "id": "4978", "image": "4978.png", "conversations": [ { "from": "human", "question": "A pottery factory kept track of the number of broken plates per shipment last week. What is the smallest number of broken plates?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 2.\n\nNow find the lowest leaf in the first row. The lowest leaf is 2.\n\nThe smallest number of broken plates has a stem of 2 and a leaf of 2. Write the stem first, then the leaf: 22.\n\nThe smallest number of broken plates is 22 broken plates.", "answer": "22", "table": "**Broken plates per shipment**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 2, 8 |\n| 3 | 3, 3, 7 |\n| 4 | 5, 6, 9 |\n| 5 | 3, 3, 4, 8 |\n| 6 | 1, 2, 6, 7 |\n| 7 | 0, 5, 8 |\n| 8 | 2, 3 |" } ] }, { "id": "4980", "image": "4980.png", "conversations": [ { "from": "human", "question": "Each gym locker has 5 volleyballs. How many volleyballs are in 3 gym lockers?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 15 volleyballs in 3 gym lockers.", "answer": "15", "table": "| Number of gym lockers | Number of volleyballs |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | ? |" } ] }, { "id": "4982", "image": "4982.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $600, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $600, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $180 | 20,800 | 2,500 |\n| $320 | 19,300 | 6,300 |\n| $460 | 17,800 | 10,100 |\n| $600 | 16,300 | 13,900 |\n| $740 | 14,800 | 17,700 |" } ] }, { "id": "4984", "image": "4984.png", "conversations": [ { "from": "human", "question": "A reporter counted the number of masks local artists made for this year's masquerade ball. How many artists made at least 5 masks?\n" }, { "from": "gpt", "solution": "Find the rows for 5 and 6 masks. Add the frequencies for these rows.\n\nAdd:\n\n2 + 12 = 14\n\n14 artists made at least 5 masks.", "answer": "14", "table": "**Making paper masks**\n\n| Masks made | Frequency |\n| --- | --- |\n| 1 | 9 |\n| 2 | 20 |\n| 3 | 8 |\n| 4 | 13 |\n| 5 | 2 |\n| 6 | 12 |" } ] }, { "id": "4985", "image": "4985.png", "conversations": [ { "from": "human", "question": "Kelsey jotted down how many minutes she spent practicing tennis in the past 5 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n56, 60, 60, 58, 61\n\nFirst, arrange the numbers from least to greatest:\n\n56, 58, 60, 60, 61\n\nNow find the number in the middle.\n\n56, 58, 60, 60, 61\n\nThe number in the middle is 60.\n\nThe median is 60.", "answer": "60", "table": "**Minutes spent practicing**\n\n| Day | Minutes |\n| --- | --- |\n| Sunday | 56 |\n| Monday | 60 |\n| Tuesday | 60 |\n| Wednesday | 58 |\n| Thursday | 61 |" } ] }, { "id": "4986", "image": "4986.png", "conversations": [ { "from": "human", "question": "Each apartment has 10 light switches. How many light switches are in 5 apartments?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 50 light switches in 5 apartments.", "answer": "50", "table": "| Number of apartments | Number of light switches |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | 40 |\n| 5 | ? |" } ] }, { "id": "4988", "image": "4988.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. At which stop does the ferry arrive at 6.10 P.M.?\n" }, { "from": "gpt", "solution": "Find 6:10 P. M. on the schedule. The ferry arrives at Pebble Town at 6:10 P. M.", "answer": "Pebble Town", "table": "**Ferry schedule**\n\n| Location | Arrive | Depart |\n| --- | --- | --- |\n| Sandy Shores | 8:00 A.M. | 8:05 A.M. |\n| Starfish City | 8:30 A.M. | 9:00 A.M. |\n| Cliff View | 9:50 A.M. | 10:10 A.M. |\n| Beach Town | 10:55 A.M. | 11:05 A.M. |\n| Bay Harbor | 12:20 P.M. | 12:25 P.M. |\n| Windy Sands | 1:50 P.M. | 1:55 P.M. |\n| Foggy Port | 3:35 P.M. | 3:50 P.M. |\n| Grassy Beach | 4:15 P.M. | 4:45 P.M. |\n| Green Harbor | 5:35 P.M. | 5:45 P.M. |\n| Pebble Town | 6:10 P.M. | 6:35 P.M. |" } ] }, { "id": "4996", "image": "4996.png", "conversations": [ { "from": "human", "question": "Melissa went to the store and bought 1.5 kilograms of white rice. How much did she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the white rice. Multiply the price per kilogram by the number of kilograms.\n$2 × 1.5 = $3\nShe spent $3.", "answer": "3", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| basmati rice | $2 per kilogram |\n| Bhutanese red rice | $3 per kilogram |\n| sticky rice | $2 per kilogram |\n| African rice | $2 per kilogram |\n| brown rice | $2 per kilogram |\n| white rice | $2 per kilogram |" } ] }, { "id": "4998", "image": "4998.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{10 - 3}{8 - 7}\n = \\frac{7}{1}\n = 7\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{17 - 10}{9 - 8}\n = \\frac{7}{1}\n = 7\nThe two rates of change are the same.\nIf you checked the rate of change between rows 1 and 3, you would find that it is also 7.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 7 | 3 |\n| 8 | 10 |\n| 9 | 17 |" } ] }, { "id": "5004", "image": "5004.png", "conversations": [ { "from": "human", "question": "A concession stand worker at the movie theater looked up how many bags of popcorn were sold in the past 5 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 8, 10, 7, 4\n\nFirst, arrange the numbers from least to greatest:\n\n4, 7, 7, 8, 10\n\nNow find the number in the middle.\n\n4, 7, 7, 8, 10\n\nThe number in the middle is 7.\n\nThe median is 7.", "answer": "7", "table": "**Bags of popcorn sold**\n\n| Day | Number of bags of popcorn |\n| --- | --- |\n| Wednesday | 7 |\n| Thursday | 8 |\n| Friday | 10 |\n| Saturday | 7 |\n| Sunday | 4 |" } ] }, { "id": "5013", "image": "5013.png", "conversations": [ { "from": "human", "question": "Carrie looked at the dates of the digital photos on her computer to find out how many she had taken in the past 7 days. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n10, 10, 6, 4, 4, 6, 6\n\nFirst, arrange the numbers from least to greatest:\n\n4, 4, 6, 6, 6, 10, 10\n\nNow count how many times each number appears.\n\n4 appears 2 times.\n6 appears 3 times.\n10 appears 2 times.\n\nThe number that appears most often is 6.\n\nThe mode is 6.", "answer": "6", "table": "**Photographs taken**\n\n| Day | Number of photographs |\n| --- | --- |\n| Saturday | 10 |\n| Sunday | 10 |\n| Monday | 6 |\n| Tuesday | 4 |\n| Wednesday | 4 |\n| Thursday | 6 |\n| Friday | 6 |" } ] }, { "id": "5015", "image": "5015.png", "conversations": [ { "from": "human", "question": "An administrator at the Department of Motor Vehicles (DMV) tracked the average wait time from month to month. According to the table, what was the rate of change between September and October?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{38 minutes - 38 minutes}{1 month}\n = \\frac{0 minutes}{1 month}\n = 0 minutes per month\nThe rate of change between September and October was 0 minutes per month.", "answer": "0", "table": "**Average waiting time at the DMV**\n\n| Month | Waiting time (minutes) |\n| --- | --- |\n| June | 34 |\n| July | 32 |\n| August | 37 |\n| September | 38 |\n| October | 38 |" } ] }, { "id": "5016", "image": "5016.png", "conversations": [ { "from": "human", "question": "Each coat rack has 5 scarves. How many scarves are on 3 coat racks?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 15 scarves on 3 coat racks.", "answer": "15", "table": "| Number of coat racks | Number of scarves |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | ? |" } ] }, { "id": "5018", "image": "5018.png", "conversations": [ { "from": "human", "question": "Dr. Whitaker, a zoo director, researched ticket prices at other zoos around the country. How much more does a senior ticket cost at the Atlanta Zoo than at the Bronx Zoo?\n" }, { "from": "gpt", "solution": "Find the Senior column. Find the numbers in this column for Atlanta and Bronx.\n\nAtlanta: $15.00\nBronx: $13.00\n\nNow subtract:\n\n$15.00 − $13.00 = $2.00\n\nA senior cost $2 more at the Atlanta Zoo than at the Bronx Zoo.", "answer": "2", "table": "**Zoo ticket prices**\n\n| Zoo | Child | Senior |\n| --- | --- | --- |\n| Atlanta | $14 | $15 |\n| Bronx | $11 | $13 |\n| Southern Nevada | $6 | $6 |\n| Los Angeles | $8 | $10 |\n| Central Park | $5 | $7 |" } ] }, { "id": "5020", "image": "5020.png", "conversations": [ { "from": "human", "question": "Valeria has $220. How much money will Valeria have left if she buys a microwave and a television?\n" }, { "from": "gpt", "solution": "Find the total cost of a microwave and a television.\n\n$55 + $75 = $130\n\nNow subtract the total cost from the starting amount.\n\n$220 - $130 = $90\n\nValeria will have $90 left.", "answer": "90", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| CD player | $19 |\n| CD | $10 |\n| television | $75 |\n| DVD player | $73 |\n| microwave | $55 |\n| microphone | $23 |" } ] }, { "id": "5031", "image": "5031.png", "conversations": [ { "from": "human", "question": "Dr. Mueller, a zoo director, researched ticket prices at other zoos around the country. How much more does an adult ticket cost at the Brookfield Zoo than at the Houston Zoo?\n" }, { "from": "gpt", "solution": "Find the Adult column. Find the numbers in this column for Brookfield and Houston.\n\nBrookfield: $12.00\nHouston: $10.00\n\nNow subtract:\n\n$12.00 − $10.00 = $2.00\n\nAn adult cost $2 more at the Brookfield Zoo than at the Houston Zoo.", "answer": "2", "table": "**Zoo ticket prices**\n\n| Zoo | Adult | Child |\n| --- | --- | --- |\n| San Francisco | $15 | $9 |\n| Cleveland | $10 | $7 |\n| Houston | $10 | $6 |\n| Bronx | $15 | $11 |\n| Brookfield | $12 | $8 |" } ] }, { "id": "5033", "image": "5033.png", "conversations": [ { "from": "human", "question": "Reagan has $1,558. Does she have enough to buy an African safari vacation package and a Jamaican vacation package?\n" }, { "from": "gpt", "solution": "Add the price of an African safari vacation package and the price of a Jamaican vacation package:\n\n$926 + $682 = $1,608\n\n$1,608 is more than $1,558. Reagan does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| Caribbean vacation package | $796 |\n| Australian vacation package | $835 |\n| African safari vacation package | $926 |\n| Jamaican vacation package | $682 |" } ] }, { "id": "5035", "image": "5035.png", "conversations": [ { "from": "human", "question": "A real estate agent counted the number of offices per floor in the building he is selling. How many floors have at least 1 office but fewer than 65 offices?\n" }, { "from": "gpt", "solution": "Find the row with stem 0. Count all the leaves greater than or equal to 1.\n\nCount all the leaves in the rows with stems 1, 2, 3, 4, and 5.\n\nIn the row with stem 6, count all the leaves less than 5.\n\nYou counted 7 leaves, which are blue in the stem-and-leaf plots above. 7 floors have at least 1 office but fewer than 65 offices.", "answer": "7", "table": "**Offices per floor**\n\n| Stem | Leaf |\n| --- | --- |\n| 0 | 6 |\n| 1 | |\n| 2 | |\n| 3 | 7 |\n| 4 | 3, 8 |\n| 5 | 7, 9 |\n| 6 | 0, 8 |\n| 7 | 2, 5 |\n| 8 | 1, 6, 9 |" } ] }, { "id": "5036", "image": "5036.png", "conversations": [ { "from": "human", "question": "Turner graphed the temperature at noon for 5 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n5, 9, 9, 6, 4\n\nFirst, arrange the numbers from least to greatest:\n\n4, 5, 6, 9, 9\n\nNow find the number in the middle.\n\n4, 5, 6, 9, 9\n\nThe number in the middle is 6.\n\nThe median is 6.", "answer": "6", "table": "**Temperature at noon**\n\n| Day | Temperature (°C) |\n| --- | --- |\n| Sunday | 5 |\n| Monday | 9 |\n| Tuesday | 9 |\n| Wednesday | 6 |\n| Thursday | 4 |" } ] }, { "id": "5039", "image": "5039.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $1,680, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $1,680, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $960 | 16,300 | 9,400 |\n| $1,140 | 13,800 | 12,200 |\n| $1,320 | 11,300 | 15,000 |\n| $1,500 | 8,800 | 17,800 |\n| $1,680 | 6,300 | 20,600 |" } ] }, { "id": "5040", "image": "5040.png", "conversations": [ { "from": "human", "question": "Tessa, a doctor's office receptionist, tracked the average waiting time at the office each month. According to the table, what was the rate of change between February and March?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{41 minutes - 36 minutes}{1 month}\n = \\frac{5 minutes}{1 month}\n = 5 minutes per month\nThe rate of change between February and March was 5 minutes per month.", "answer": "5", "table": "**Average waiting time at a doctor's office**\n\n| Month | Waiting time (minutes) |\n| --- | --- |\n| February | 36 |\n| March | 41 |\n| April | 33 |\n| May | 40 |\n| June | 35 |" } ] }, { "id": "5048", "image": "5048.png", "conversations": [ { "from": "human", "question": "An architecture student measured the heights of all the buildings downtown. How many buildings are at least 60 meters tall but less than 80 meters tall?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 6 and 7.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 buildings are at least 60 meters tall but less than 80 meters tall.", "answer": "2", "table": "**Building heights (meters)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 9 |\n| 2 | |\n| 3 | 1, 3, 4 |\n| 4 | 3, 9 |\n| 5 | 2, 3, 5 |\n| 6 | 1 |\n| 7 | 6 |\n| 8 | 2, 2 |\n| 9 | 0 |" } ] }, { "id": "5053", "image": "5053.png", "conversations": [ { "from": "human", "question": "Raymond looked at his calendar to see how many hours he had worked in the past 7 days. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n1, 1, 3, 2, 0, 0, 0\n\nFirst, count how many numbers are in the group.\n\nThere are 7 numbers.\n\nNow add all the numbers together:\n\n1 + 1 + 3 + 2 + 0 + 0 + 0 = 7\n\nNow divide the sum by the number of numbers:\n\n7 ÷ 7 = 1\n\nThe mean is 1.", "answer": "1", "table": "**Hours worked**\n\n| Day | Hours |\n| --- | --- |\n| Friday | 1 |\n| Saturday | 1 |\n| Sunday | 3 |\n| Monday | 2 |\n| Tuesday | 0 |\n| Wednesday | 0 |\n| Thursday | 0 |" } ] }, { "id": "5054", "image": "5054.png", "conversations": [ { "from": "human", "question": "Gabe went to the store. He bought 1 kilogram of raisins. How much did he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the raisins. Multiply the price per kilogram by the number of kilograms.\n\n$2.91 × 1 = $2.91\n\nHe spent $2.91.", "answer": "2.91", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| raisins | $2.91/kilogram |\n| banana chips | $1.20/kilogram |\n| dried apple | $3.04/kilogram |\n| dried pear | $3.14/kilogram |\n| dried mango | $1.76/kilogram |\n| dried pineapple | $1.38/kilogram |" } ] }, { "id": "5058", "image": "5058.png", "conversations": [ { "from": "human", "question": "Miguel has $2.52. How much money will Miguel have left if he buys an ice cream cone and a bagel?\n" }, { "from": "gpt", "solution": "Find the total cost of an ice cream cone and a bagel.\n\n$0.98 + $0.68 = $1.66\n\nNow subtract the total cost from the starting amount.\n\n$2.52 - $1.66 = $0.86\n\nMiguel will have $0.86 left.", "answer": "0.86", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| bagel | $0.68 |\n| ice cream cone | $0.98 |\n| cup of orange juice | $0.98 |\n| brownie | $0.79 |\n| cup of coffee | $0.93 |" } ] }, { "id": "5061", "image": "5061.png", "conversations": [ { "from": "human", "question": "The Hampton Chamber of Commerce researched the number of employees working at local companies. What is the size of the largest company?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 8.\n\nNow find the highest leaf in the last row. The highest leaf is 4.\n\nThe size of the largest company has a stem of 8 and a leaf of 4. Write the stem first, then the leaf: 84.\n\nThe size of the largest company is 84 employees.", "answer": "84", "table": "**Company sizes (number of employees)**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 1, 2, 5, 8, 9 |\n| 5 | 4, 5, 6 |\n| 6 | 1, 5, 6, 7 |\n| 7 | 0 |\n| 8 | 4 |" } ] }, { "id": "5075", "image": "5075.png", "conversations": [ { "from": "human", "question": "Devon counted the number of silver beads on each bracelet at Newport Jewelry, the store where she works. How many bracelets had at least 70 silver beads but fewer than 80 silver beads?\n" }, { "from": "gpt", "solution": "Count all the leaves in the row with stem 7.\n\nYou counted 11 leaves, which are blue in the stem-and-leaf plot above. 11 bracelets had at least 70 silver beads but fewer than 80 silver beads.", "answer": "11", "table": "**Silver beads per bracelet**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 3, 3, 5, 5, 7, 8, 8, 9 |\n| 5 | 2 |\n| 6 | 8 |\n| 7 | 0, 1, 1, 2, 3, 3, 4, 5, 6, 8, 9 |\n| 8 | 0, 2, 7, 8 |" } ] }, { "id": "5083", "image": "5083.png", "conversations": [ { "from": "human", "question": "The houses in Tanvi's town get their water from a local reservoir. Tanvi and a group of engineers monitor the water level for safety and health reasons. The change in water level over two months is shown in the table. During which month did the water level change more?\n" }, { "from": "gpt", "solution": "A positive change means the water level went up. A negative change means the water level went down.\nTo find the month the water level changed more, use absolute value. Absolute value tells you how much the water level changed each month.\nApril: |-6| = 6\nMay: |4| = 4\nThe water level went down 6 inches in April, and it only went up 4 inches in May. The water level changed more in April.", "answer": "April", "table": "| Month | Change in water level (in.) |\n| --- | --- |\n| April | -6 |\n| May | 4 |" } ] }, { "id": "5091", "image": "5091.png", "conversations": [ { "from": "human", "question": "Look at this table. Is this relation a function?\n" }, { "from": "gpt", "solution": "Look at the x-values in the table.\n\nEach of the x-values is paired with only one y-value, so the relation is a function.", "answer": "yes", "table": "| x | y |\n| --- | --- |\n| 9 | 8 |\n| 12 | 3 |\n| 20 | 11 |\n| 15 | 16 |" } ] }, { "id": "5094", "image": "5094.png", "conversations": [ { "from": "human", "question": "What is the total cost for 5 kilograms of Arborio rice?\n" }, { "from": "gpt", "solution": "Find the cost of the Arborio rice. Multiply the price per kilogram by the number of kilograms.\n\n$1.15 × 5 = $5.75\n\nThe total cost is $5.75.", "answer": "5.75", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| white rice | $0.92/kilogram |\n| basmati rice | $0.50/kilogram |\n| Arborio rice | $1.15/kilogram |\n| jasmine rice | $1.14/kilogram |" } ] }, { "id": "5103", "image": "5103.png", "conversations": [ { "from": "human", "question": "Each package has 10 markers. How many markers are in 5 packages?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 50 markers in 5 packages.", "answer": "50", "table": "| Number of packages | Number of markers |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | 40 |\n| 5 | ? |" } ] }, { "id": "5111", "image": "5111.png", "conversations": [ { "from": "human", "question": "Sasha wrote down how many cups of lemonade she sold in the past 4 days. On which day did the stand sell the fewest cups of lemonade?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 61.\n\nNow find the corresponding day. Monday corresponds to 61.", "answer": "Monday", "table": "**Cups of lemonade sold**\n\n| Day | Number of cups |\n| --- | --- |\n| Sunday | 67 |\n| Monday | 61 |\n| Tuesday | 69 |\n| Wednesday | 65 |" } ] }, { "id": "5112", "image": "5112.png", "conversations": [ { "from": "human", "question": "Erica conducted a blind taste test on some of her friends in order to determine if organic fruits tasted different than non-organic fruits. Each friend ate one type of fruit. What is the probability that a randomly selected friend tasted peaches and preferred non-organic? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the friend tasted peaches\" and B be the event \"the friend preferred non-organic\".\nTo find the probability that a friend tasted peaches and preferred non-organic, first identify the sample space and the event.\nThe outcomes in the sample space are the different friends. Each friend is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the friend tasted peaches and preferred non-organic\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the friend tasted peaches and preferred non-organic\", so look at the table to see how many friends tasted peaches and preferred non-organic.\nThe number of friends who tasted peaches and preferred non-organic is 1.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of friends.\n1 + 4 + 5 + 1 = 11\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{1}{11}\nThe probability that a friend tasted peaches and preferred non-organic is \\frac{1}{11}.", "answer": "1/11", "table": "| | Organic | Non-organic |\n| --- | --- | --- |\n| Apples | 1 | 5 |\n| Peaches | 4 | 1 |" } ] }, { "id": "5117", "image": "5117.png", "conversations": [ { "from": "human", "question": "This morning, Mr. Duran released the scores from last week's spelling test. How many students scored at least 51 points but fewer than 69 points?\n" }, { "from": "gpt", "solution": "Find the row with stem 5. Count all the leaves greater than or equal to 1.\n\nIn the row with stem 6, count all the leaves less than 9.\n\nYou counted 6 leaves, which are blue in the stem-and-leaf plots above. 6 students scored at least 51 points but fewer than 69 points.", "answer": "6", "table": "**Spelling test scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 5 | 4, 9, 9 |\n| 6 | 6, 7, 8 |\n| 7 | 1, 2, 5, 8 |\n| 8 | 3, 3, 4, 5, 6, 7, 7, 9, 9, 9 |" } ] }, { "id": "5119", "image": "5119.png", "conversations": [ { "from": "human", "question": "How much money does Lauren need to buy a whale keychain, a beach postcard, and a sand castle magnet?\n" }, { "from": "gpt", "solution": "Find the total cost of a whale keychain, a beach postcard, and a sand castle magnet.\n\n$0.81 + $0.61 + $0.97 = $2.39\n\nLauren needs $2.39.", "answer": "2.39", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| sand castle magnet | $0.97 |\n| pink flamingo pen | $0.12 |\n| picture of a shark | $0.54 |\n| beach postcard | $0.61 |\n| whale keychain | $0.81 |" } ] }, { "id": "5120", "image": "5120.png", "conversations": [ { "from": "human", "question": "A girl compared the ages of her cousins. Which cousin is the youngest?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 12.\n\nNow find the corresponding name. Rick corresponds to 12.", "answer": "Rick", "table": "**Ages of cousins**\n\n| Name | Age (years) |\n| --- | --- |\n| Rick | 12 |\n| Jared | 19 |\n| Pamela | 18 |\n| Bob | 15 |" } ] }, { "id": "5129", "image": "5129.png", "conversations": [ { "from": "human", "question": "The Winchester Middle School fundraising committee found out how many sweatshirts students already had, in order to decide whether to sell sweatshirts for a fundraiser. How many students are there in all?\n" }, { "from": "gpt", "solution": "Add the frequencies for each row.\n\nAdd:\n\n20 + 8 + 13 + 14 + 5 + 9 + 1 = 70\n\nThere are 70 students in all.", "answer": "70", "table": "**Sweatshirts**\n\n| Number of sweatshirts | Frequency |\n| --- | --- |\n| 0 | 20 |\n| 1 | 8 |\n| 2 | 13 |\n| 3 | 14 |\n| 4 | 5 |\n| 5 | 9 |\n| 6 | 1 |" } ] }, { "id": "5140", "image": "5140.png", "conversations": [ { "from": "human", "question": "Fred graphed the daily low temperature for 5 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 6, 6, 8, 8\n\nFirst, find the greatest number. The greatest number is 9.\n\nNext, find the least number. The least number is 6.\n\nSubtract the least number from the greatest number:\n\n9 − 6 = 3\n\nThe range is 3.", "answer": "3", "table": "**Daily low temperature**\n\n| Day | Temperature (°C) |\n| --- | --- |\n| Thursday | 9 |\n| Friday | 6 |\n| Saturday | 6 |\n| Sunday | 8 |\n| Monday | 8 |" } ] }, { "id": "5145", "image": "5145.png", "conversations": [ { "from": "human", "question": "The movie critic liked to count the number of actors in each movie he saw. What is the smallest number of actors?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 2.\n\nNow find the lowest leaf in the first row. The lowest leaf is 2.\n\nThe smallest number of actors has a stem of 2 and a leaf of 2. Write the stem first, then the leaf: 22.\n\nThe smallest number of actors is 22 actors.", "answer": "22", "table": "**Actors per movie**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 2, 3, 4, 6, 7, 9 |\n| 3 | 0, 2, 4, 4, 6, 6, 6, 7 |\n| 4 | 2, 3, 5 |\n| 5 | |\n| 6 | 5, 6, 6 |\n| 7 | 0, 4, 4, 9 |" } ] }, { "id": "5155", "image": "5155.png", "conversations": [ { "from": "human", "question": "A concession stand worker at the movie theater looked up how many bags of popcorn were sold in the past 7 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n3, 10, 7, 10, 8, 1, 1\n\nFirst, arrange the numbers from least to greatest:\n\n1, 1, 3, 7, 8, 10, 10\n\nNow find the number in the middle.\n\n1, 1, 3, 7, 8, 10, 10\n\nThe number in the middle is 7.\n\nThe median is 7.", "answer": "7", "table": "**Bags of popcorn sold**\n\n| Day | Number of bags of popcorn |\n| --- | --- |\n| Monday | 3 |\n| Tuesday | 10 |\n| Wednesday | 7 |\n| Thursday | 10 |\n| Friday | 8 |\n| Saturday | 1 |\n| Sunday | 1 |" } ] }, { "id": "5157", "image": "5157.png", "conversations": [ { "from": "human", "question": "A food industry researcher compiled the revenues of several pizzerias. How much more did Dan's Deep Dish make from pizzas than Taste of New York?\n" }, { "from": "gpt", "solution": "Add the numbers in the Dan's Deep Dish row. Then, add the numbers in the Taste of New York row.\n\nDan's Deep Dish: $12.00 + $19.00 = $31.00\nTaste of New York: $9.00 + $10.00 = $19.00\n\nNow subtract:\n\n$31.00 − $19.00 = $12.00\n\nDan's Deep Dish made $12 more from pizzas than Taste of New York.", "answer": "12", "table": "**Pizza sales**\n\n| Restaurant | Supreme pizzas | Cheese pizzas |\n| --- | --- | --- |\n| Taste of New York | $9 | $10 |\n| New York Slice | $20 | $16 |\n| Dan's Deep Dish | $12 | $19 |\n| The Big Cheese | $7 | $8 |" } ] }, { "id": "5159", "image": "5159.png", "conversations": [ { "from": "human", "question": "How much money does Philip need to buy 4 pineapple upside-down cakes?\n" }, { "from": "gpt", "solution": "Find the total cost of 4 pineapple upside-down cakes by multiplying 4 times the price of a pineapple upside-down cake.\n\n$14.64 × 4 = $58.56\n\nPhilip needs $58.56.", "answer": "58.56", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| peach pie | $14.94 |\n| coconut cake | $24.28 |\n| key lime pie | $14.01 |\n| pineapple upside-down cake | $14.64 |\n| pecan pie | $12.63 |\n| pear tart | $23.16 |" } ] }, { "id": "5168", "image": "5168.png", "conversations": [ { "from": "human", "question": "A doctor's records revealed how many patients she saw each month. In which month did the doctor see the most patients?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 381.\n\nNow find the corresponding month. September corresponds to 381.", "answer": "September", "table": "**Patients seen**\n\n| Month | Number of patients |\n| --- | --- |\n| June | 318 |\n| July | 313 |\n| August | 338 |\n| September | 381 |" } ] }, { "id": "5170", "image": "5170.png", "conversations": [ { "from": "human", "question": "Rob owns six dogs and monitors how much food they eat in a month. What fraction of the food was eaten by Pumpkin? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many kilograms of food were eaten by Pumpkin.\n\n18\n\nFind how many kilograms of food the dogs ate in total.\n\n26 + 39 + 13 + 25 + 18 + 48 = 169\n\nDivide 18 by169.\n\n\\frac{18}{169}\n\n\\frac{18}{169} of kilograms of food were eaten by Pumpkin.", "answer": "18/169", "table": "**Dog food consumption**\n\n| Dog | Kilograms of food |\n| --- | --- |\n| Peanut | 26 |\n| Dusty | 39 |\n| Puddles | 13 |\n| Echo | 25 |\n| Pumpkin | 18 |\n| Spot | 48 |" } ] }, { "id": "5176", "image": "5176.png", "conversations": [ { "from": "human", "question": "A technical support line tracked how many calls it received each day. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n100, 82, 75, 99, 89\n\nFirst, count how many numbers are in the group.\n\nThere are 5 numbers.\n\nNow add all the numbers together:\n\n100 + 82 + 75 + 99 + 89 = 445\n\nNow divide the sum by the number of numbers:\n\n445 ÷ 5 = 89\n\nThe mean is 89.", "answer": "89", "table": "**Phone calls received**\n\n| Day | Number of calls |\n| --- | --- |\n| Friday | 100 |\n| Saturday | 82 |\n| Sunday | 75 |\n| Monday | 99 |\n| Tuesday | 89 |" } ] }, { "id": "5179", "image": "5179.png", "conversations": [ { "from": "human", "question": "A real estate agent evaluated the number of houses sold this year in each town in Taylor County. What fraction of houses sold in Taylor County were in Stamford? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many houses were sold in Stamford.\n\n480\n\nFind how many houses were sold in total.\n\n270 + 480 + 280 = 1,030\n\nDivide 480 by1,030.\n\n\\frac{480}{1,030}\n\nReduce the fraction.\n\n\\frac{480}{1,030} → \\frac{48}{103}\n\n\\frac{48}{103} of houses were sold in Stamford.", "answer": "48/103", "table": "**Number of houses sold**\n\n| Town | Number of houses sold |\n| --- | --- |\n| Livingston | 270 |\n| Stamford | 480 |\n| Other | 280 |" } ] }, { "id": "5181", "image": "5181.png", "conversations": [ { "from": "human", "question": "The Hillsboro Tourism Office researched how often people played miniature golf last summer. How many people are there in all?\n" }, { "from": "gpt", "solution": "Add the frequencies for each row.\n\nAdd:\n\n15 + 4 + 8 + 10 + 9 = 46\n\nThere are 46 people in all.", "answer": "46", "table": "**Playing miniature golf last summer**\n\n| Times played | Frequency |\n| --- | --- |\n| 0 | 15 |\n| 1 | 4 |\n| 2 | 8 |\n| 3 | 10 |\n| 4 | 9 |" } ] }, { "id": "5182", "image": "5182.png", "conversations": [ { "from": "human", "question": "Some friends played a trivia game and recorded their scores. Who had the lowest score?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 25.\n\nNow find the corresponding name. Edward corresponds to 25.", "answer": "Edward", "table": "**Trivia game scores**\n\n| Name | Score |\n| --- | --- |\n| Roger | 28 |\n| Brennan | 29 |\n| Manny | 27 |\n| Edward | 25 |" } ] }, { "id": "5187", "image": "5187.png", "conversations": [ { "from": "human", "question": "Jared wrote down how many cups of lemonade he sold in the past 7 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n5, 6, 10, 10, 7, 6, 8\n\nFirst, arrange the numbers from least to greatest:\n\n5, 6, 6, 7, 8, 10, 10\n\nNow find the number in the middle.\n\n5, 6, 6, 7, 8, 10, 10\n\nThe number in the middle is 7.\n\nThe median is 7.", "answer": "7", "table": "**Cups of lemonade sold**\n\n| Day | Number of cups |\n| --- | --- |\n| Wednesday | 5 |\n| Thursday | 6 |\n| Friday | 10 |\n| Saturday | 10 |\n| Sunday | 7 |\n| Monday | 6 |\n| Tuesday | 8 |" } ] }, { "id": "5189", "image": "5189.png", "conversations": [ { "from": "human", "question": "The advertising agency counted the number of billboards in each city in the state. How many cities have at least 47 billboards?\n" }, { "from": "gpt", "solution": "Find the row with stem 4. Count all the leaves greater than or equal to 7.\n\nCount all the leaves in the rows with stems 5, 6, and 7.\n\nYou counted 9 leaves, which are blue in the stem-and-leaf plots above. 9 cities have at least 47 billboards.", "answer": "9", "table": "**Billboards per city**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 3, 4, 9 |\n| 3 | 0, 1, 2 |\n| 4 | 1, 2, 7 |\n| 5 | 1, 2 |\n| 6 | 2, 4, 9 |\n| 7 | 1, 4, 5 |" } ] }, { "id": "5197", "image": "5197.png", "conversations": [ { "from": "human", "question": "A pair of Morgan High School hockey fans counted the number of games won by the school each year. According to the table, what was the rate of change between 2010 and 2011?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{14 games - 17 games}{2011 - 2010}\n = \\frac{14 games - 17 games}{1 year}\n = \\frac{-3 games}{1 year}\n = -3 games per year\nThe rate of change between 2010 and 2011 was - 3 games per year.", "answer": "-3", "table": "**Hockey games won by Morgan High**\n\n| Year | Games won |\n| --- | --- |\n| 2009 | 9 |\n| 2010 | 17 |\n| 2011 | 14 |\n| 2012 | 14 |\n| 2013 | 10 |" } ] }, { "id": "5205", "image": "5205.png", "conversations": [ { "from": "human", "question": "Each fish bowl has 10 fish. How many fish are in 5 fish bowls?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 50 fish in 5 fish bowls.", "answer": "50", "table": "| Number of fish bowls | Number of fish |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | 40 |\n| 5 | ? |" } ] }, { "id": "5207", "image": "5207.png", "conversations": [ { "from": "human", "question": "Reggie buys 1+3/10 pounds of cilantro. What is the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the cilantro. Multiply the price per pound by the number of pounds.\n$8 × 1\\frac{3}{10} = $8 × 1.3 = $10.40\nThe total cost is $10.40.", "answer": "10.40", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| parsley | $8/lb |\n| mint | $9/lb |\n| sage | $5/lb |\n| cilantro | $8/lb |\n| oregano | $6/lb |\n| chamomile | $9/lb |\n| thyme | $4/lb |" } ] }, { "id": "5209", "image": "5209.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which class begins at 9.50 A.M.?\n" }, { "from": "gpt", "solution": "Find 9:50 A. M. on the schedule. Health class begins at 9:50 A. M.", "answer": "Health class", "table": "**Class schedule**\n\n| Subject | Begin | End |\n| --- | --- | --- |\n| Math | 7:55 A.M. | 8:25 A.M. |\n| Music | 8:35 A.M. | 9:45 A.M. |\n| Health | 9:50 A.M. | 10:25 A.M. |\n| English | 10:35 A.M. | 11:10 A.M. |\n| Physics | 11:20 A.M. | 12:15 P.M. |\n| Astronomy | 12:25 P.M. | 1:35 P.M. |\n| Chemistry | 1:45 P.M. | 2:30 P.M. |\n| Gym | 2:40 P.M. | 3:10 P.M. |\n| Biology | 3:20 P.M. | 4:25 P.M. |\n| Art | 4:30 P.M. | 5:30 P.M. |" } ] }, { "id": "5216", "image": "5216.png", "conversations": [ { "from": "human", "question": "Erin has $39.00. Does she have enough to buy a book about sharks and a book about basketball?\n" }, { "from": "gpt", "solution": "Add the price of a book about sharks and the price of a book about basketball:\n\n$19.00 + $18.00 = $37.00\n\n$37.00 is less than $39.00. Erin does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| book about basketball | $18.00 |\n| book about the Olympics | $15.00 |\n| book about sharks | $19.00 |\n| book about cats | $24.00 |\n| book about hiking | $14.00 |\n| book about trains | $17.00 |" } ] }, { "id": "5220", "image": "5220.png", "conversations": [ { "from": "human", "question": "Some friends compared the sizes of their stuffed animal collections. Who has the most stuffed animals?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 185.\n\nNow find the corresponding name. Troy corresponds to 185.", "answer": "Troy", "table": "**Stuffed animal collections**\n\n| Name | Number of stuffed animals |\n| --- | --- |\n| Dylan | 151 |\n| Rose | 118 |\n| Troy | 185 |\n| Edmond | 158 |" } ] }, { "id": "5222", "image": "5222.png", "conversations": [ { "from": "human", "question": "A pizza chef recalled how many pizzas he had made during the past 6 days. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n4, 3, 8, 5, 4, 0\n\nFirst, count how many numbers are in the group.\n\nThere are 6 numbers.\n\nNow add all the numbers together:\n\n4 + 3 + 8 + 5 + 4 + 0 = 24\n\nNow divide the sum by the number of numbers:\n\n24 ÷ 6 = 4\n\nThe mean is 4.", "answer": "4", "table": "**Pizzas made**\n\n| Day | Number of pizzas |\n| --- | --- |\n| Sunday | 4 |\n| Monday | 3 |\n| Tuesday | 8 |\n| Wednesday | 5 |\n| Thursday | 4 |\n| Friday | 0 |" } ] }, { "id": "5227", "image": "5227.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $455, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $455, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $335 | 17,200 | 2,700 |\n| $375 | 15,400 | 7,100 |\n| $415 | 13,600 | 11,500 |\n| $455 | 11,800 | 15,900 |\n| $495 | 10,000 | 20,300 |" } ] }, { "id": "5228", "image": "5228.png", "conversations": [ { "from": "human", "question": "How much money does Edward need to buy 2 navy blue bath mats?\n" }, { "from": "gpt", "solution": "Find the total cost of 2 navy blue bath mats by multiplying 2 times the price of a navy blue bath mat.\n\n$15.00 × 2 = $30.00\n\nEdward needs $30.00.", "answer": "30", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| fleece blanket | $12.00 |\n| pillow | $13.00 |\n| quilt | $46.00 |\n| navy blue bath mat | $15.00 |\n| yellow bath towel | $14.00 |\n| flannel sheet | $24.00 |" } ] }, { "id": "5229", "image": "5229.png", "conversations": [ { "from": "human", "question": "Sanjay has $11.50. Does he have enough to buy a pair of sweat pants and a red hat?\n" }, { "from": "gpt", "solution": "Add the price of a pair of sweat pants and the price of a red hat:\n\n$5.63 + $5.73 = $11.36\n\n$11.36 is less than $11.50. Sanjay does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pair of sweat pants | $5.63 |\n| pair of shoes | $9.67 |\n| pair of black socks | $1.16 |\n| red hat | $5.73 |" } ] }, { "id": "5233", "image": "5233.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{6 - 5}{5 - 4}\n = \\frac{1}{1}\n = 1\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{7 - 6}{6 - 5}\n = \\frac{1}{1}\n = 1\nThe two rates of change are the same.\nIf you checked the rate of change between rows 1 and 3, you would find that it is also 1.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 4 | 5 |\n| 5 | 6 |\n| 6 | 7 |" } ] }, { "id": "5236", "image": "5236.png", "conversations": [ { "from": "human", "question": "The fifth-grade students at Valley View School chose the language they were most interested in learning next year. The school principal recorded their choices in a frequency chart. How many more students chose Spanish than French?\n" }, { "from": "gpt", "solution": "The frequencies tell you how many students chose each language. Start by finding how many students chose French or Spanish.\n21 students chose French, and 27 students chose Spanish. Subtract to find the difference.\n27 − 21 = 6\nSo, 6 more students chose Spanish.", "answer": "6", "table": "**Languages to learn**\n\n| Language | Frequency |\n| --- | --- |\n| French | 21 |\n| Mandarin | 22 |\n| American Sign Language | 23 |\n| Spanish | 27 |" } ] }, { "id": "5245", "image": "5245.png", "conversations": [ { "from": "human", "question": "How much money does Jeffrey need to buy a purple envelope, a piece of striped paper, and a bright blue note card?\n" }, { "from": "gpt", "solution": "Find the total cost of a purple envelope, a piece of striped paper, and a bright blue note card.\n\n$0.09 + $0.01 + $0.05 = $0.15\n\nJeffrey needs $0.15.", "answer": "0.15", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| piece of striped paper | $0.01 |\n| sheet of blue and yellow paper | $0.02 |\n| piece of polka-dotted paper | $0.08 |\n| bright blue note card | $0.05 |\n| sheet of shiny silver paper | $0.08 |\n| purple envelope | $0.09 |" } ] }, { "id": "5246", "image": "5246.png", "conversations": [ { "from": "human", "question": "Lillian looked at her calendar to figure out how much time she spent babysitting each month. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n8, 6, 8, 6, 6, 9, 9\n\nFirst, arrange the numbers from least to greatest:\n\n6, 6, 6, 8, 8, 9, 9\n\nNow count how many times each number appears.\n\n6 appears 3 times.\n8 appears 2 times.\n9 appears 2 times.\n\nThe number that appears most often is 6.\n\nThe mode is 6.", "answer": "6", "table": "**Hours of babysitting**\n\n| Month | Hours |\n| --- | --- |\n| November | 8 |\n| December | 6 |\n| January | 8 |\n| February | 6 |\n| March | 6 |\n| April | 9 |\n| May | 9 |" } ] }, { "id": "5249", "image": "5249.png", "conversations": [ { "from": "human", "question": "Some companies compared how many phone calls they made. Which company made the fewest phone calls?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 436.\n\nNow find the corresponding company. Nature Now corresponds to 436.", "answer": "Nature Now", "table": "**Phone calls**\n\n| Company | Number of phone calls |\n| --- | --- |\n| Nature Now | 436 |\n| Melbourne Medical Devices | 463 |\n| Henderson Co. | 443 |\n| Critical Insight Consulting | 464 |" } ] }, { "id": "5257", "image": "5257.png", "conversations": [ { "from": "human", "question": "Mitchell went to the store. He bought 3 kilograms of spelt rolls and 1 kilogram of hot dog buns. How much did he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the spelt rolls. Multiply:\n\n$8.13 × 3 = $24.39\n\nFind the cost of the hot dog buns. Multiply:\n\n$7.10 × 1 = $7.10\n\nNow find the total cost by adding:\n\n$24.39 + $7.10 = $31.49\n\nHe spent $31.49.", "answer": "31.49", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| spelt rolls | $8.13/kilogram |\n| hamburger buns | $4.22/kilogram |\n| tortillas | $4.87/kilogram |\n| wheat rolls | $7.77/kilogram |\n| hot dog buns | $7.10/kilogram |\n| rye rolls | $5.94/kilogram |" } ] }, { "id": "5261", "image": "5261.png", "conversations": [ { "from": "human", "question": "The members of the track team compared how many miles they ran last week. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n3, 9, 8, 4, 6\n\nFirst, arrange the numbers from least to greatest:\n\n3, 4, 6, 8, 9\n\nNow find the number in the middle.\n\n3, 4, 6, 8, 9\n\nThe number in the middle is 6.\n\nThe median is 6.", "answer": "6", "table": "**Running miles**\n\n| Name | Miles |\n| --- | --- |\n| Ed | 3 |\n| Pedro | 9 |\n| Maggie | 8 |\n| Ashley | 4 |\n| Gordon | 6 |" } ] }, { "id": "5266", "image": "5266.png", "conversations": [ { "from": "human", "question": "How much money does Troy need to buy a smooth piece of marble and a piece of black obsidian?\n" }, { "from": "gpt", "solution": "Add the price of a smooth piece of marble and the price of a piece of black obsidian:\n\n$0.05 + $0.07 = $0.12\n\nTroy needs $0.12.", "answer": "0.12", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| piece of black obsidian | $0.07 |\n| piece of polished granite | $0.03 |\n| smooth piece of marble | $0.05 |\n| piece of red sandstone | $0.06 |\n| piece of smoky quartz | $0.09 |\n| pumice stone | $0.05 |" } ] }, { "id": "5269", "image": "5269.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $690, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $690, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $540 | 21,300 | 8,100 |\n| $590 | 18,700 | 10,600 |\n| $640 | 16,100 | 13,100 |\n| $690 | 13,500 | 15,600 |\n| $740 | 10,900 | 18,100 |" } ] }, { "id": "5274", "image": "5274.png", "conversations": [ { "from": "human", "question": "A county agency recorded the money donated to several charitable causes over time. How much money was raised for animals in March?\n" }, { "from": "gpt", "solution": "First, find the row for animals. Then find the number in the March column.\n\nThis number is $10.00. $10 was raised for animals in March.", "answer": "10", "table": "**Donations received**\n\n| Cause | March | April |\n| --- | --- | --- |\n| Parks | $4 | $6 |\n| Education | $19 | $7 |\n| Hunger | $18 | $10 |\n| Animals | $10 | $17 |" } ] }, { "id": "5276", "image": "5276.png", "conversations": [ { "from": "human", "question": "At Lanberry Consulting, the head of human resources examined how the number of employees with health care benefits varied in response to policy changes. According to the table, what was the rate of change between 2014 and 2015?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{33 employees - 27 employees}{2015 - 2014}\n = \\frac{33 employees - 27 employees}{1 year}\n = \\frac{6 employees}{1 year}\n = 6 employees per year\nThe rate of change between 2014 and 2015 was 6 employees per year.", "answer": "6", "table": "**Employees with health care benefits**\n\n| Year | Employees |\n| --- | --- |\n| 2013 | 29 |\n| 2014 | 27 |\n| 2015 | 33 |\n| 2016 | 26 |\n| 2017 | 19 |" } ] }, { "id": "5283", "image": "5283.png", "conversations": [ { "from": "human", "question": "To get a rough estimate of her melon farm's profits for the year, Hazel decided to look at some data about melon prices in the past. In 1996, which type of melon was the least expensive?\n" }, { "from": "gpt", "solution": "Look at the numbers in the 1996 column. Find the least number in this column.\n\nThe least number is $3.00, which is in the Watermelons row. In 1996, watermelons were the least expensive.", "answer": "watermelons", "table": "**Melon price per container**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Kind of melon | 1995 | 1996 |\n| Cantaloupes | $7 | $8 |\n| Honeydews | $10 | $7 |\n| Watermelons | $5 | $3 |" } ] }, { "id": "5293", "image": "5293.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does the school board meeting begin?\n" }, { "from": "gpt", "solution": "Find the school board meeting on the schedule. Find the beginning time for the school board meeting.\n\nschool board meeting: 10:55 A. M.", "answer": "10:55 A.M.", "table": "**City government schedule**\n\n| Meeting | Begin | End |\n| --- | --- | --- |\n| transportation meeting | 8:15 A.M. | 9:30 A.M. |\n| fire department meeting | 9:10 A.M. | 10:50 A.M. |\n| school board meeting | 10:55 A.M. | 12:10 P.M. |\n| police meeting | 12:40 P.M. | 2:00 P.M. |\n| budget meeting | 2:00 P.M. | 3:00 P.M. |" } ] }, { "id": "5305", "image": "5305.png", "conversations": [ { "from": "human", "question": "A printing shop kept a log of how many sheets of paper were used in the past 4 days. On which day did the printing shop use the fewest sheets of paper?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 337.\n\nNow find the corresponding day. Thursday corresponds to 337.", "answer": "Thursday", "table": "**Sheets of paper used**\n\n| Day | Number of sheets of paper |\n| --- | --- |\n| Tuesday | 353 |\n| Wednesday | 375 |\n| Thursday | 337 |\n| Friday | 357 |" } ] }, { "id": "5306", "image": "5306.png", "conversations": [ { "from": "human", "question": "Edward's class recorded how many states each student has visited. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 4, 2, 5, 8, 3, 3, 8\n\nFirst, count how many numbers are in the group.\n\nThere are 8 numbers.\n\nNow add all the numbers together:\n\n7 + 4 + 2 + 5 + 8 + 3 + 3 + 8 = 40\n\nNow divide the sum by the number of numbers:\n\n40 ÷ 8 = 5\n\nThe mean is 5.", "answer": "5", "table": "**States visited**\n\n| Name | Number of states |\n| --- | --- |\n| Edward | 7 |\n| Juan | 4 |\n| Kimberly | 2 |\n| Regan | 5 |\n| Zoe | 8 |\n| Colton | 3 |\n| Mark | 3 |\n| Hunter | 8 |" } ] }, { "id": "5309", "image": "5309.png", "conversations": [ { "from": "human", "question": "Nolan tracked the maximum daily wind speed for 5 days. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n48, 45, 48, 46, 48\n\nFirst, count how many numbers are in the group.\n\nThere are 5 numbers.\n\nNow add all the numbers together:\n\n48 + 45 + 48 + 46 + 48 = 235\n\nNow divide the sum by the number of numbers:\n\n235 ÷ 5 = 47\n\nThe mean is 47.", "answer": "47", "table": "**Daily wind speed**\n\n| Day | Wind speed (miles per hour) |\n| --- | --- |\n| Monday | 48 |\n| Tuesday | 45 |\n| Wednesday | 48 |\n| Thursday | 46 |\n| Friday | 48 |" } ] }, { "id": "5312", "image": "5312.png", "conversations": [ { "from": "human", "question": "A statistics lab required students to draw cards numbered between 1 and 6 and track the results. How many students drew 3?\n" }, { "from": "gpt", "solution": "Find the row for 3 and read the frequency. The frequency is 13.\n\n13 students drew 3.", "answer": "13", "table": "**Drawing a number between 1 and 6**\n\n| Number drawn | Frequency |\n| --- | --- |\n| 1 | 4 |\n| 2 | 2 |\n| 3 | 13 |\n| 4 | 16 |\n| 5 | 9 |\n| 6 | 0 |" } ] }, { "id": "5313", "image": "5313.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Juan just missed the 5.00 P.M. train at Springtown. How long does he have to wait until the next train?\n" }, { "from": "gpt", "solution": "Find 5:00 P. M. in the row for Springtown.\n\nLook for the next train in that row.\n\nThe next train is at 5:15 P. M.\n\nFind the elapsed time. The elapsed time is 15 minutes.", "answer": "15 minutes", "table": "**Train schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 |\n| --- | --- | --- | --- |\n| Hillsboro | 8:30 A.M. | 9:00 A.M. | 9:15 A.M. |\n| Vindale | 9:30 A.M. | 10:00 A.M. | 10:15 A.M. |\n| Lexington | 11:30 A.M. | 12:00 P.M. | 12:15 P.M. |\n| Morristown | 1:15 P.M. | 1:45 P.M. | 2:00 P.M. |\n| Kingwood | 1:45 P.M. | 2:15 P.M. | 2:30 P.M. |\n| Silvergrove | 3:00 P.M. | 3:30 P.M. | 3:45 P.M. |\n| Springtown | 4:30 P.M. | 5:00 P.M. | 5:15 P.M. |\n| Dayton | 6:00 P.M. | 6:30 P.M. | 6:45 P.M. |\n| Westford | 8:00 P.M. | 8:30 P.M. | 8:45 P.M. |" } ] }, { "id": "5315", "image": "5315.png", "conversations": [ { "from": "human", "question": "Each coat has 5 buttons. How many buttons are on 6 coats?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 30 buttons on 6 coats.", "answer": "30", "table": "| Number of coats | Number of buttons |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | 20 |\n| 5 | 25 |\n| 6 | ? |" } ] }, { "id": "5319", "image": "5319.png", "conversations": [ { "from": "human", "question": "The teachers at a middle school counted how many computers they had in their classrooms. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n5, 8, 1, 1, 3, 5, 3, 3\n\nFirst, arrange the numbers from least to greatest:\n\n1, 1, 3, 3, 3, 5, 5, 8\n\nNow count how many times each number appears.\n\n1 appears 2 times.\n3 appears 3 times.\n5 appears 2 times.\n8 appears 1 time.\n\nThe number that appears most often is 3.\n\nThe mode is 3.", "answer": "3", "table": "**Computers in classrooms**\n\n| Teacher | Number of computers |\n| --- | --- |\n| Mr. Schmidt | 5 |\n| Mr. Lim | 8 |\n| Mr. Watson | 1 |\n| Mr. Morales | 1 |\n| Mrs. Rossi | 3 |\n| Mrs. Tan | 5 |\n| Ms. Cohen | 3 |\n| Miss Murphy | 3 |" } ] }, { "id": "5336", "image": "5336.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{10 - 9}{14 - 13}\n = \\frac{1}{1}\n = 1\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{16 - 10}{15 - 14}\n = \\frac{6}{1}\n = 6\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 13 | 9 |\n| 14 | 10 |\n| 15 | 16 |" } ] }, { "id": "5343", "image": "5343.png", "conversations": [ { "from": "human", "question": "This is Duncan's complete financial record for July. On July 5, how much money did Duncan make?\n" }, { "from": "gpt", "solution": "Look at the 7/5 row. The amount received was $15.00. So, Duncan made $15.00 on July 5.\n", "answer": "15", "table": "| Date | Description | Received | Expenses | Available Funds |\n| --- | --- | --- | --- | --- |\n| | Balance: end of June | | | $450.70 |\n| 7/5 | cleaning the Hoffmans' pool | $15.00 | | $465.70 |\n| 7/17 | bottle of water | | $1.50 | $464.20 |\n| 7/29 | swim trunks | | $16.80 | $447.40 |" } ] }, { "id": "5349", "image": "5349.png", "conversations": [ { "from": "human", "question": "The city library monitored the number of books checked out each day. On which day were the fewest books checked out?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 518.\n\nNow find the corresponding day. Friday corresponds to 518.", "answer": "Friday", "table": "**Books checked out**\n\n| Day | Number of books |\n| --- | --- |\n| Tuesday | 581 |\n| Wednesday | 551 |\n| Thursday | 585 |\n| Friday | 518 |" } ] }, { "id": "5350", "image": "5350.png", "conversations": [ { "from": "human", "question": "A store recently released a new line of alarm clocks that emits a smell to wake you up in the morning. The head of sales tracked buyers' ages and which smells they preferred. What is the probability that a randomly selected buyer is a teenager and purchased a clock scented like bacon? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the buyer is a teenager\" and B be the event \"the buyer purchased a clock scented like bacon\".\nTo find the probability that a buyer is a teenager and purchased a clock scented like bacon, first identify the sample space and the event.\nThe outcomes in the sample space are the different buyers. Each buyer is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the buyer is a teenager and purchased a clock scented like bacon\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the buyer is a teenager and purchased a clock scented like bacon\", so look at the table to see how many buyers are a teenager and purchased a clock scented like bacon.\nThe number of buyers who are a teenager and purchased a clock scented like bacon is 2.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of buyers.\n5 + 2 + 1 + 3 = 11\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{2}{11}\nThe probability that a buyer is a teenager and purchased a clock scented like bacon is \\frac{2}{11}.", "answer": "2/11", "table": "| | Bacon | Cinnamon |\n| --- | --- | --- |\n| Under 13 years old | 5 | 1 |\n| A teenager | 2 | 3 |" } ] }, { "id": "5366", "image": "5366.png", "conversations": [ { "from": "human", "question": "A dietitian noted the number of apples eaten by his clients last week. How many clients ate exactly 3 apples last week?\n" }, { "from": "gpt", "solution": "Find the row for 3 apples last week and read the frequency. The frequency is 0.\n\n0 clients ate exactly 3 apples last week.", "answer": "0", "table": "**Eating apples last week**\n\n| Apples eaten | Frequency |\n| --- | --- |\n| 0 | 4 |\n| 1 | 17 |\n| 2 | 16 |\n| 3 | 0 |\n| 4 | 2 |\n| 5 | 5 |" } ] }, { "id": "5368", "image": "5368.png", "conversations": [ { "from": "human", "question": "Sarah has $9,781. Does she have enough to buy an antique hand-painted trunk and an antique cedar cabinet?\n" }, { "from": "gpt", "solution": "Add the price of an antique hand-painted trunk and the price of an antique cedar cabinet:\n\n$7,639 + $2,427 = $10,066\n\n$10,066 is more than $9,781. Sarah does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| antique cedar cabinet | $2,427 |\n| antique hand-painted trunk | $7,639 |\n| antique pine chest of drawers | $9,889 |\n| antique cast-iron bench | $3,071 |" } ] }, { "id": "5370", "image": "5370.png", "conversations": [ { "from": "human", "question": "A farmer recalled how many watermelons were harvested in the past 4 days. On which day were the most watermelons harvested?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 37.\n\nNow find the corresponding day. Thursday corresponds to 37.", "answer": "Thursday", "table": "**Watermelons harvested**\n\n| Day | Number of watermelons |\n| --- | --- |\n| Tuesday | 36 |\n| Wednesday | 32 |\n| Thursday | 37 |\n| Friday | 34 |" } ] }, { "id": "5372", "image": "5372.png", "conversations": [ { "from": "human", "question": "A real estate agent drove around the neighborhood and counted the number of houses on each block. How many blocks have exactly 18 houses?\n" }, { "from": "gpt", "solution": "For the number 18, the stem is 1, and the leaf is 8. Find the row where the stem is 1. In that row, count all the leaves equal to 8.\n\nYou counted 0 leaves. 0 blocks have exactly18 houses.", "answer": "0", "table": "**Houses per block**\n\n| Stem | Leaf |\n| --- | --- |\n| 0 | 5, 9, 9 |\n| 1 | 3 |\n| 2 | 5 |\n| 3 | 7, 8 |" } ] }, { "id": "5373", "image": "5373.png", "conversations": [ { "from": "human", "question": "Camilla kept track of how many boxes of cookies she sold over the past 6 days. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n3, 6, 4, 7, 6, 10\n\nFirst, count how many numbers are in the group.\n\nThere are 6 numbers.\n\nNow add all the numbers together:\n\n3 + 6 + 4 + 7 + 6 + 10 = 36\n\nNow divide the sum by the number of numbers:\n\n36 ÷ 6 = 6\n\nThe mean is 6.", "answer": "6", "table": "**Boxes of cookies sold**\n\n| Day | Number of boxes |\n| --- | --- |\n| Monday | 3 |\n| Tuesday | 6 |\n| Wednesday | 4 |\n| Thursday | 7 |\n| Friday | 6 |\n| Saturday | 10 |" } ] }, { "id": "5374", "image": "5374.png", "conversations": [ { "from": "human", "question": "After a scavenger hunt, a team counted the number of pine cones found by each of its members. How many people found more than 4 pine cones?\n" }, { "from": "gpt", "solution": "Find the row for 5 pine cones and read the frequency. The frequency is 13.\n\n13 people found more than 4 pine cones.", "answer": "13", "table": "**Finding pine cones**\n\n| Pine cones found | Frequency |\n| --- | --- |\n| 1 | 2 |\n| 2 | 0 |\n| 3 | 12 |\n| 4 | 11 |\n| 5 | 13 |" } ] }, { "id": "5378", "image": "5378.png", "conversations": [ { "from": "human", "question": "The board of commerce recorded how many employees work at each company. How many more employees work at ABC Electronics than at Madison Corporation?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nABC Electronics: 4,356\nMadison Corporation: 1,212\n\nNow subtract: 4,356 - 1,212 = 3,144.\n\n3,144 more employees work at ABC Electronics.", "answer": "3,144", "table": "**Company sizes**\n\n| Company | Number of employees |\n| --- | --- |\n| Madison Corporation | 1,212 |\n| Future Computers | 5,371 |\n| ABC Electronics | 4,356 |" } ] }, { "id": "5379", "image": "5379.png", "conversations": [ { "from": "human", "question": "A reporter counted the number of masks local artists made for this year's masquerade ball. How many artists made at least 4 masks?\n" }, { "from": "gpt", "solution": "Find the rows for 4, 5, and 6 masks. Add the frequencies for these rows.\n\nAdd:\n\n10 + 7 + 17 = 34\n\n34 artists made at least 4 masks.", "answer": "34", "table": "**Making paper masks**\n\n| Masks made | Frequency |\n| --- | --- |\n| 1 | 5 |\n| 2 | 1 |\n| 3 | 19 |\n| 4 | 10 |\n| 5 | 7 |\n| 6 | 17 |" } ] }, { "id": "5380", "image": "5380.png", "conversations": [ { "from": "human", "question": "An archer recalled how many times he hit the bull's-eye in the past 6 days. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 7, 10, 4, 8, 4\n\nFirst, count how many numbers are in the group.\n\nThere are 6 numbers.\n\nNow add all the numbers together:\n\n9 + 7 + 10 + 4 + 8 + 4 = 42\n\nNow divide the sum by the number of numbers:\n\n42 ÷ 6 = 7\n\nThe mean is 7.", "answer": "7", "table": "**Bull's-eyes**\n\n| Day | Number of bull's-eyes |\n| --- | --- |\n| Friday | 9 |\n| Saturday | 7 |\n| Sunday | 10 |\n| Monday | 4 |\n| Tuesday | 8 |\n| Wednesday | 4 |" } ] }, { "id": "5381", "image": "5381.png", "conversations": [ { "from": "human", "question": "Grace's school reported how many members each sports team had. Which team has the most members?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 38.\n\nNow find the corresponding team. Baseball team corresponds to 38.", "answer": "baseball team", "table": "**Sports team membership**\n\n| Team | Number of members |\n| --- | --- |\n| baseball team | 38 |\n| football team | 37 |\n| water polo team | 34 |\n| volleyball team | 35 |" } ] }, { "id": "5382", "image": "5382.png", "conversations": [ { "from": "human", "question": "How much would it cost to buy 4 pounds of cherries?\n" }, { "from": "gpt", "solution": "Find the cost of the cherries. Multiply the price per pound by the number of pounds.\n\n$1.65 × 4 = $6.60\n\nIt would cost $6.60.", "answer": "6.60", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| plums | $4.41 per pound |\n| apricots | $3.99 per pound |\n| cherries | $1.65 per pound |\n| apples | $2.18 per pound |\n| bananas | $0.87 per pound |\n| peaches | $1.40 per pound |\n| grapes | $4.00 per pound |" } ] }, { "id": "5385", "image": "5385.png", "conversations": [ { "from": "human", "question": "How much money does Trisha need to buy a book about sharks and a book about reptiles?\n" }, { "from": "gpt", "solution": "Add the price of a book about sharks and the price of a book about reptiles:\n\n$11.41 + $19.24 = $30.65\n\nTrisha needs $30.65.", "answer": "30.65", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| book about birds | $22.30 |\n| book about basketball | $10.02 |\n| book about Antarctica | $22.98 |\n| book about reptiles | $19.24 |\n| book about sharks | $11.41 |\n| book about airplanes | $15.51 |" } ] }, { "id": "5391", "image": "5391.png", "conversations": [ { "from": "human", "question": "What is the total cost for 4+3/10 pounds of chocolate chip muffin mix?\n" }, { "from": "gpt", "solution": "Find the cost of the chocolate chip muffin mix. Multiply the price per pound by the number of pounds.\n$3 × 4\\frac{3}{10} = $3 × 4.3 = $12.90\nThe total cost is $12.90.", "answer": "12.90", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pumpkin muffin mix | $2/pound |\n| cranberry muffin mix | $3/pound |\n| chocolate chip muffin mix | $3/pound |\n| apple muffin mix | $3/pound |\n| blueberry muffin mix | $3/pound |\n| bran muffin mix | $1/pound |" } ] }, { "id": "5392", "image": "5392.png", "conversations": [ { "from": "human", "question": "A farmer wrote down how many kilograms of cherries were sold in the past 6 days. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n8, 7, 7, 7, 10, 8\n\nFirst, arrange the numbers from least to greatest:\n\n7, 7, 7, 8, 8, 10\n\nNow count how many times each number appears.\n\n7 appears 3 times.\n8 appears 2 times.\n10 appears 1 time.\n\nThe number that appears most often is 7.\n\nThe mode is 7.", "answer": "7", "table": "**Cherries sold**\n\n| Day | Kilograms |\n| --- | --- |\n| Wednesday | 8 |\n| Thursday | 7 |\n| Friday | 7 |\n| Saturday | 7 |\n| Sunday | 10 |\n| Monday | 8 |" } ] }, { "id": "5394", "image": "5394.png", "conversations": [ { "from": "human", "question": "How much more does a wrench cost than a bucket?\n" }, { "from": "gpt", "solution": "Subtract the price of a bucket from the price of a wrench.\n\n$7.92 - $6.07 = $1.85\n\nA wrench costs $1.85 more than a bucket.", "answer": "1.85", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| lawn sprinkler | $8.79 |\n| bucket | $6.07 |\n| hammer | $5.86 |\n| can of paint | $5.61 |\n| broom | $3.44 |\n| wrench | $7.92 |" } ] }, { "id": "5403", "image": "5403.png", "conversations": [ { "from": "human", "question": "A hardware store monitored how many hammers it sold in the past 7 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n2, 1, 5, 6, 6, 2, 2\n\nFirst, arrange the numbers from least to greatest:\n\n1, 2, 2, 2, 5, 6, 6\n\nNow find the number in the middle.\n\n1, 2, 2, 2, 5, 6, 6\n\nThe number in the middle is 2.\n\nThe median is 2.", "answer": "2", "table": "**Hammers sold**\n\n| Day | Number of hammers |\n| --- | --- |\n| Tuesday | 2 |\n| Wednesday | 1 |\n| Thursday | 5 |\n| Friday | 6 |\n| Saturday | 6 |\n| Sunday | 2 |\n| Monday | 2 |" } ] }, { "id": "5404", "image": "5404.png", "conversations": [ { "from": "human", "question": "Dr. Harrell, a pediatrician, weighed all the children who recently visited her office. What is the weight of the heaviest child?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 8.\n\nNow find the highest leaf in the last row. The highest leaf is 6.\n\nThe weight of the heaviest child has a stem of 8 and a leaf of 6. Write the stem first, then the leaf: 86.\n\nThe weight of the heaviest child is 86 pounds.", "answer": "86", "table": "**Children's weights (lbs)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 2, 7, 8 |\n| 2 | 9 |\n| 3 | 1, 5, 9 |\n| 4 | 4, 5, 6 |\n| 5 | 2 |\n| 6 | 9, 9 |\n| 7 | 4 |\n| 8 | 0, 1, 6 |" } ] }, { "id": "5419", "image": "5419.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $580, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $580, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $430 | 17,800 | 5,000 |\n| $480 | 14,200 | 8,700 |\n| $530 | 10,600 | 12,400 |\n| $580 | 7,000 | 16,100 |\n| $630 | 3,400 | 19,800 |" } ] }, { "id": "5426", "image": "5426.png", "conversations": [ { "from": "human", "question": "In a recent election at Richmond University, six people ran for student body president. What fraction of votes were for Noah? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many votes were for Noah.\n\n300\n\nFind how many votes there were in total.\n\n490 + 580 + 850 + 290 + 340 + 300 = 2,850\n\nDivide 300 by2,850.\n\n\\frac{300}{2,850}\n\nReduce the fraction.\n\n\\frac{300}{2,850} → \\frac{2}{19}\n\n\\frac{2}{19} of votes were for Noah.", "answer": "2/19", "table": "**Election results**\n\n| Candidate | Votes |\n| --- | --- |\n| Sam | 490 |\n| Malia | 580 |\n| Madelyn | 850 |\n| Sophie | 290 |\n| Donald | 340 |\n| Noah | 300 |" } ] }, { "id": "5427", "image": "5427.png", "conversations": [ { "from": "human", "question": "Each roof has 2 parakeets. How many parakeets are on 4 roofs?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 8 parakeets on 4 roofs.", "answer": "8", "table": "| Number of roofs | Number of parakeets |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | 6 |\n| 4 | ? |" } ] }, { "id": "5441", "image": "5441.png", "conversations": [ { "from": "human", "question": "A business analyst compared purchases of different types of cereal. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n50, 50, 51, 50, 50, 55\n\nFirst, count how many numbers are in the group.\n\nThere are 6 numbers.\n\nNow add all the numbers together:\n\n50 + 50 + 51 + 50 + 50 + 55 = 306\n\nNow divide the sum by the number of numbers:\n\n306 ÷ 6 = 51\n\nThe mean is 51.", "answer": "51", "table": "**Boxes of cereal purchased**\n\n| Cereal | Number of boxes purchased |\n| --- | --- |\n| Almond Crisp Crunch | 50 |\n| Chocolate Crunch | 50 |\n| Whole Wheat Goodness | 51 |\n| Krispee Bites | 50 |\n| Vanilla Honey Clusters | 50 |\n| Toasted Treats | 55 |" } ] }, { "id": "5443", "image": "5443.png", "conversations": [ { "from": "human", "question": "How much money does Diana need to buy 7 lip balms?\n" }, { "from": "gpt", "solution": "Find the total cost of 7 lip balms by multiplying 7 times the price of lip balm.\n\n$1.73 × 7 = $12.11\n\nDiana needs $12.11.", "answer": "12.11", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| box of bandages | $1.07 |\n| lip balm | $1.73 |\n| tube of toothpaste | $3.50 |\n| bottle of sunscreen | $5.98 |\n| bottle of shampoo | $1.61 |" } ] }, { "id": "5447", "image": "5447.png", "conversations": [ { "from": "human", "question": "How much money does Donald need to buy a book about Australia and a book about airplanes?\n" }, { "from": "gpt", "solution": "Add the price of a book about Australia and the price of a book about airplanes:\n\n$20 + $22 = $42\n\nDonald needs $42.", "answer": "42", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| book about Australia | $20 |\n| book about soccer | $24 |\n| book about art | $12 |\n| book about animals | $13 |\n| book about airplanes | $22 |" } ] }, { "id": "5462", "image": "5462.png", "conversations": [ { "from": "human", "question": "Greenwood Flooring tracked the number of broken tiles in each shipment it received last year. How many shipments had exactly 86 broken tiles?\n" }, { "from": "gpt", "solution": "For the number 86, the stem is 8, and the leaf is 6. Find the row where the stem is 8. In that row, count all the leaves equal to 6.\n\nYou counted 0 leaves. 0 shipments had exactly 86 broken tiles.", "answer": "0", "table": "**Broken tiles per shipment**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 1 |\n| 4 | 8, 9 |\n| 5 | |\n| 6 | 4, 7 |\n| 7 | 0 |\n| 8 | 3, 5 |" } ] }, { "id": "5463", "image": "5463.png", "conversations": [ { "from": "human", "question": "An economics student recorded the amount of per-capita aid that the U.S. gave to various countries during the 1900s. In 1980, which country received less aid per capita, Pakistan or Afghanistan?\n" }, { "from": "gpt", "solution": "Find the 1980 column. Compare the numbers in this column for Pakistan and Afghanistan.\n\n$2.00 is less than $14.00. In 1980, Afghanistan received less aid per capita.", "answer": "Afghanistan", "table": "**Aid received per capita from the U.S.**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 1980 | 1990 |\n| Libya | $5 | $5 |\n| Afghanistan | $2 | $7 |\n| Algeria | $9 | $10 |\n| Pakistan | $14 | $10 |" } ] }, { "id": "5469", "image": "5469.png", "conversations": [ { "from": "human", "question": "Lila conducted a blind taste test on some of her friends in order to determine if organic fruits tasted different than non-organic fruits. Each friend ate one type of fruit. What is the probability that a randomly selected friend preferred organic and tasted peaches? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the friend preferred organic\" and B be the event \"the friend tasted peaches\".\nTo find the probability that a friend preferred organic and tasted peaches, first identify the sample space and the event.\nThe outcomes in the sample space are the different friends. Each friend is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the friend preferred organic and tasted peaches\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the friend preferred organic and tasted peaches\", so look at the table to see how many friends preferred organic and tasted peaches.\nThe number of friends who preferred organic and tasted peaches is 3.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of friends.\n3 + 2 + 3 + 3 = 11\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{3}{11}\nThe probability that a friend preferred organic and tasted peaches is \\frac{3}{11}.", "answer": "3/11", "table": "| | Apples | Peaches |\n| --- | --- | --- |\n| Organic | 3 | 3 |\n| Non-organic | 2 | 3 |" } ] }, { "id": "5472", "image": "5472.png", "conversations": [ { "from": "human", "question": "Mrs. Roy, the biology teacher, asked her students how many times they went to the science museum last year. How many students went to the science museum more than 1 time?\n" }, { "from": "gpt", "solution": "Find the rows for 2, 3, 4, 5, and 6 times. Add the frequencies for these rows.\n\nAdd:\n\n2 + 5 + 12 + 1 + 13 = 33\n\n33 students went to the science museum more than 1 time.", "answer": "33", "table": "**Trips to the science museum last year**\n\n| Number of trips | Frequency |\n| --- | --- |\n| 0 | 3 |\n| 1 | 6 |\n| 2 | 2 |\n| 3 | 5 |\n| 4 | 12 |\n| 5 | 1 |\n| 6 | 13 |" } ] }, { "id": "5474", "image": "5474.png", "conversations": [ { "from": "human", "question": "This morning, Mr. Molina released the scores from last week's spelling test. How many students scored at least 58 points?\n" }, { "from": "gpt", "solution": "Find the row with stem 5. Count all the leaves greater than or equal to 8.\n\nCount all the leaves in the rows with stems 6, 7, 8, and 9.\n\nYou counted 14 leaves, which are blue in the stem-and-leaf plots above. 14 students scored at least 58 points.", "answer": "14", "table": "**Spelling test scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 7 |\n| 2 | 2, 8 |\n| 3 | 0, 5, 5, 8, 9 |\n| 4 | 5, 7, 8 |\n| 5 | 8, 9 |\n| 6 | 2, 6, 7 |\n| 7 | 1, 2, 5, 7, 8, 8, 9 |\n| 8 | 1 |\n| 9 | 0 |" } ] }, { "id": "5475", "image": "5475.png", "conversations": [ { "from": "human", "question": "As part of a statistics project, a math class weighed all the children who were willing to participate. How many children weighed at least 17 pounds but less than 56 pounds?\n" }, { "from": "gpt", "solution": "Find the row with stem 1. Count all the leaves greater than or equal to 7.\n\nCount all the leaves in the rows with stems 2, 3, and 4.\n\nIn the row with stem 5, count all the leaves less than 6.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plots above. 2 children weighed at least 17 pounds but less than 56 pounds.", "answer": "2", "table": "**Children's weights (lbs)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1, 4 |\n| 2 | 6 |\n| 3 | |\n| 4 | 3 |\n| 5 | |\n| 6 | 1, 5 |" } ] }, { "id": "5476", "image": "5476.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which activity begins at 4.20 P.M.?\n" }, { "from": "gpt", "solution": "Find 4:20 P. M. on the schedule. The snowman competition begins at 4:20 P. M.", "answer": "snowman competition", "table": "**Winter lodge schedule**\n\n| Activity | Begin | End |\n| --- | --- | --- |\n| cross-country ski tour | 9:10 A.M. | 10:50 A.M. |\n| beginning snowboard class | 11:05 A.M. | 11:45 A.M. |\n| snowshoe adventure | 12:05 P.M. | 12:50 P.M. |\n| cross-country ski class | 1:00 P.M. | 2:15 P.M. |\n| beginning ski class | 2:35 P.M. | 4:15 P.M. |\n| snowman competition | 4:20 P.M. | 5:40 P.M. |\n| intermediate ski class | 5:50 P.M. | 7:15 P.M. |" } ] }, { "id": "5480", "image": "5480.png", "conversations": [ { "from": "human", "question": "Whitney's class recorded how many cans of food each student collected for their canned food drive. Who collected the most cans?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 665.\n\nNow find the corresponding name. Irma corresponds to 665.", "answer": "Irma", "table": "**Cans of food collected**\n\n| Name | Number of cans of food |\n| --- | --- |\n| Whitney | 651 |\n| Sofia | 616 |\n| Vivian | 615 |\n| Irma | 665 |" } ] }, { "id": "5485", "image": "5485.png", "conversations": [ { "from": "human", "question": "The town council reported on how many stop signs there are on each street. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n3, 10, 6, 5, 5, 7\n\nFirst, count how many numbers are in the group.\n\nThere are 6 numbers.\n\nNow add all the numbers together:\n\n3 + 10 + 6 + 5 + 5 + 7 = 36\n\nNow divide the sum by the number of numbers:\n\n36 ÷ 6 = 6\n\nThe mean is 6.", "answer": "6", "table": "**Stop signs**\n\n| Street | Number of stop signs |\n| --- | --- |\n| Irving Street | 3 |\n| Jackson Street | 10 |\n| Peabody Street | 6 |\n| Watson Street | 5 |\n| Marshall Street | 5 |\n| Spring Street | 7 |" } ] }, { "id": "5493", "image": "5493.png", "conversations": [ { "from": "human", "question": "For an assignment, Lauren looked at which countries got the most Nobel Prizes in various decades. Of the countries shown, which country had the fewest Nobel Prize winners in the 1980s?\n" }, { "from": "gpt", "solution": "Look at the numbers in the 1980 s column. Find the least number in this column.\n\nThe least number is 1, which is in the Russia row. Of the countries shown, Russia had the fewest Nobel Prize winners in the 1980 s.", "answer": "Russia", "table": "**Nobel Prize winners**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 1970s | 1980s |\n| Russia | 5 | 1 |\n| Canada | 2 | 3 |\n| Holland | 2 | 2 |" } ] }, { "id": "5500", "image": "5500.png", "conversations": [ { "from": "human", "question": "Some students compared how many blocks they live from school. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 6, 2, 5, 6, 6, 2, 2\n\nFirst, arrange the numbers from least to greatest:\n\n2, 2, 2, 5, 6, 6, 6, 6\n\nNow count how many times each number appears.\n\n2 appears 3 times.\n5 appears 1 time.\n6 appears 4 times.\n\nThe number that appears most often is 6.\n\nThe mode is 6.", "answer": "6", "table": "**Blocks from school**\n\n| Name | Number of blocks |\n| --- | --- |\n| Kiara | 6 |\n| Tyrone | 6 |\n| Lacey | 2 |\n| Stacy | 5 |\n| Quinn | 6 |\n| Ronald | 6 |\n| Alice | 2 |\n| Diane | 2 |" } ] }, { "id": "5502", "image": "5502.png", "conversations": [ { "from": "human", "question": "How much money does Deb need to buy 3 beach blankets?\n" }, { "from": "gpt", "solution": "Find the total cost of 3 beach blankets by multiplying 3 times the price of a beach blanket.\n\n$12.00 × 3 = $36.00\n\nDeb needs $36.00.", "answer": "36", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| yellow bath towel | $11.00 |\n| beach blanket | $12.00 |\n| flannel sheet | $22.00 |\n| navy blue bath mat | $13.00 |\n| fleece blanket | $12.00 |" } ] }, { "id": "5507", "image": "5507.png", "conversations": [ { "from": "human", "question": "How much money does Ann need to buy 6 MP3 player and 6 cell phones?\n" }, { "from": "gpt", "solution": "Find the cost of 6 MP 3 player.\n\n$433.00 × 6 = $2,598.00\n\nFind the cost of 6 cell phones.\n\n$270.00 × 6 = $1,620.00\n\nNow find the total cost.\n\n$2,598.00 + $1,620.00 = $4,218.00\n\nAnn needs $4,218.00.", "answer": "4,218", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| laptop computer | $533.00 |\n| MP3 player | $433.00 |\n| video game system | $430.00 |\n| cell phone | $270.00 |\n| stereo speaker | $108.00 |\n| digital camera | $937.00 |" } ] }, { "id": "5509", "image": "5509.png", "conversations": [ { "from": "human", "question": "Look at this table. Is this relation a function?\n" }, { "from": "gpt", "solution": "Look at the x-values in the table.\n\nThe x-value 19 is paired with multiple y-values, so the relation is not a function.", "answer": "no", "table": "| x | y |\n| --- | --- |\n| 3 | 16 |\n| 19 | 2 |\n| 19 | 4 |\n| 13 | 18 |" } ] }, { "id": "5510", "image": "5510.png", "conversations": [ { "from": "human", "question": "The architecture student counted the number of bricks in each building in his neighborhood. How many buildings have at least 30 bricks but fewer than 50 bricks?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 3 and 4.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 buildings have at least 30 bricks but fewer than 50 bricks.", "answer": "2", "table": "**Bricks per building**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 6, 7 |\n| 2 | 2, 5, 9 |\n| 3 | 8 |\n| 4 | 0 |\n| 5 | 6 |\n| 6 | 4, 9 |" } ] }, { "id": "5511", "image": "5511.png", "conversations": [ { "from": "human", "question": "Each desk has 5 yellow notepads. How many yellow notepads are on 5 desks?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 25 yellow notepads on 5 desks.", "answer": "25", "table": "| Number of desks | Number of yellow notepads |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | 20 |\n| 5 | ? |" } ] }, { "id": "5512", "image": "5512.png", "conversations": [ { "from": "human", "question": "Each bracelet has 10 opals. How many opals are on 6 bracelets?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 60 opals on 6 bracelets.", "answer": "60", "table": "| Number of bracelets | Number of opals |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | 40 |\n| 5 | 50 |\n| 6 | ? |" } ] }, { "id": "5522", "image": "5522.png", "conversations": [ { "from": "human", "question": "Maya has $34.00. Does she have enough to buy a coloring book and a textbook?\n" }, { "from": "gpt", "solution": "Add the price of a coloring book and the price of a textbook:\n\n$14.00 + $18.00 = $32.00\n\n$32.00 is less than $34.00. Maya does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| geography book | $23.00 |\n| textbook | $18.00 |\n| coloring book | $14.00 |\n| history book | $13.00 |\n| mystery novel | $16.00 |" } ] }, { "id": "5525", "image": "5525.png", "conversations": [ { "from": "human", "question": "Each bag has 10 yellow buttons. How many yellow buttons are in 3 bags?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 30 yellow buttons in 3 bags.", "answer": "30", "table": "| Number of bags | Number of yellow buttons |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | ? |" } ] }, { "id": "5526", "image": "5526.png", "conversations": [ { "from": "human", "question": "How much money does Alan need to buy a white T-shirt, a pair of shorts, and a striped scarf?\n" }, { "from": "gpt", "solution": "Find the total cost of a white T-shirt, a pair of shorts, and a striped scarf.\n\n$3 + $8 + $2 = $13\n\nAlan needs $13.", "answer": "13", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| white T-shirt | $3 |\n| striped scarf | $2 |\n| pair of shorts | $8 |\n| blue shirt | $6 |" } ] }, { "id": "5528", "image": "5528.png", "conversations": [ { "from": "human", "question": "Jonathan has $544. Does he have enough to buy a silver coat rack and a grandfather clock?\n" }, { "from": "gpt", "solution": "Add the price of a silver coat rack and the price of a grandfather clock:\n\n$374 + $191 = $565\n\n$565 is more than $544. Jonathan does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| rug | $339 |\n| crystal sculpture | $856 |\n| silver coat rack | $374 |\n| chandelier | $231 |\n| oil painting | $766 |\n| grandfather clock | $191 |" } ] }, { "id": "5539", "image": "5539.png", "conversations": [ { "from": "human", "question": "Each bag has 5 yellow buttons. How many yellow buttons are in 3 bags?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 15 yellow buttons in 3 bags.", "answer": "15", "table": "| Number of bags | Number of yellow buttons |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | ? |" } ] }, { "id": "5540", "image": "5540.png", "conversations": [ { "from": "human", "question": "A volunteer for the local running club counted the number of participants at each race. How many races had at least 40 participants but fewer than 70 participants?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 4, 5, and 6.\n\nYou counted 7 leaves, which are blue in the stem-and-leaf plot above. 7 races had at least 40 participants but fewer than 70 participants.", "answer": "7", "table": "**Participants per race**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 1, 9 |\n| 3 | 1, 4, 4, 5 |\n| 4 | 3, 8, 8 |\n| 5 | 1, 2, 4 |\n| 6 | 2 |\n| 7 | 2, 3, 4, 4 |\n| 8 | 3, 6 |\n| 9 | 0 |" } ] }, { "id": "5552", "image": "5552.png", "conversations": [ { "from": "human", "question": "Danny buys 5 pounds of rice pudding. How much does he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the rice pudding. Multiply the price per pound by the number of pounds.\n\n$3.81 × 5 = $19.05\n\nHe spends $19.05.", "answer": "19.05", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| vanilla pudding | $2.67 per pound |\n| pistachio pudding | $4.82 per pound |\n| chocolate pudding | $4.06 per pound |\n| rice pudding | $3.81 per pound |\n| butterscotch pudding | $4.43 per pound |" } ] }, { "id": "5559", "image": "5559.png", "conversations": [ { "from": "human", "question": "Bill found out the sizes of all the clubs at his school. How many clubs have exactly 71 members?\n" }, { "from": "gpt", "solution": "For the number 71, the stem is 7, and the leaf is 1. Find the row where the stem is 7. In that row, count all the leaves equal to 1.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 clubs have exactly 71 members.", "answer": "4", "table": "**Club sizes (number of members)**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 0, 3, 4, 7 |\n| 4 | 0, 3, 9 |\n| 5 | 1, 3, 4 |\n| 6 | 3, 9, 9 |\n| 7 | 0, 1, 1, 1, 1, 3, 4, 5, 7, 7, 9 |" } ] }, { "id": "5564", "image": "5564.png", "conversations": [ { "from": "human", "question": "Ryan bought 5 kilograms of faux fur scraps. How much did he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the faux fur scraps. Multiply the price per kilogram by the number of kilograms.\n\n$3.76 × 5 = $18.80\n\nHe spent $18.80.", "answer": "18.80", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| lace scraps | $3.20 per kilogram |\n| silk scraps | $4.06 per kilogram |\n| denim scraps | $4.22 per kilogram |\n| felt scraps | $4.27 per kilogram |\n| canvas scraps | $5.35 per kilogram |\n| faux fur scraps | $3.76 per kilogram |" } ] }, { "id": "5580", "image": "5580.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which event begins at 1.00 P.M.?\n" }, { "from": "gpt", "solution": "Find 1:00 P. M. on the schedule. The women's uneven bars event begins at 1:00 P. M.", "answer": "women's uneven bars event", "table": "**Gymnastics meet schedule**\n\n| Event | Begin | End |\n| --- | --- | --- |\n| men's high bar | 10:55 A.M. | 11:15 A.M. |\n| men's pommel horse | 11:10 A.M. | 11:50 A.M. |\n| women's vault | 11:45 A.M. | 12:30 P.M. |\n| women's balance beam | 12:20 P.M. | 12:55 P.M. |\n| women's uneven bars | 1:00 P.M. | 1:40 P.M. |\n| men's floor exercise | 1:20 P.M. | 1:55 P.M. |\n| men's vault | 2:00 P.M. | 2:35 P.M. |" } ] }, { "id": "5583", "image": "5583.png", "conversations": [ { "from": "human", "question": "Henry went to the store and bought 3.7 pounds of salmon. How much did he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the salmon. Multiply the price per pound by the number of pounds.\n$4 × 3.7 = $14.80\nHe spent $14.80.", "answer": "14.80", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| catfish | $9 per lb |\n| halibut | $10 per lb |\n| tilapia | $4 per lb |\n| salmon | $4 per lb |\n| tuna | $6 per lb |\n| trout | $7 per lb |" } ] }, { "id": "5584", "image": "5584.png", "conversations": [ { "from": "human", "question": "In the first episode of a reality show, contestants had to spin two wheels of fate. Spinning the first wheel determined the remote location where contestants would reside for the duration of the season. Spinning the second wheel determined which \"bonus survival tool\" they would be allowed to bring, along with a few other necessary items. What is the probability that a randomly selected participant spun the first wheel and landed on desert and spun the second wheel and landed on a tent? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the participant spun the first wheel and landed on desert\" and B be the event \"the participant spun the second wheel and landed on a tent\".\nTo find the probability that a participant spun the first wheel and landed on desert and spun the second wheel and landed on a tent, first identify the sample space and the event.\nThe outcomes in the sample space are the different participants. Each participant is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the participant spun the first wheel and landed on desert and spun the second wheel and landed on a tent\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the participant spun the first wheel and landed on desert and spun the second wheel and landed on a tent\", so look at the table to see how many participants spun the first wheel and landed on desert and spun the second wheel and landed on a tent.\nThe number of participants who spun the first wheel and landed on desert and spun the second wheel and landed on a tent is 6.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of participants.\n6 + 2 + 7 + 5 = 20\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{6}{20}\n = \\frac{3}{10}\nThe probability that a participant spun the first wheel and landed on desert and spun the second wheel and landed on a tent is \\frac{3}{10}.", "answer": "3/10", "table": "| | A tent | Matches |\n| --- | --- | --- |\n| Desert | 6 | 7 |\n| Rainforest | 2 | 5 |" } ] }, { "id": "5586", "image": "5586.png", "conversations": [ { "from": "human", "question": "Brad counted the number of pieces of pepperoni on each pizza he made. How many pizzas had at least 34 pieces of pepperoni but fewer than 41 pieces of pepperoni?\n" }, { "from": "gpt", "solution": "Find the row with stem 3. Count all the leaves greater than or equal to 4.\n\nIn the row with stem 4, count all the leaves less than 1.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plots above. 4 pizzas had at least 34 pieces of pepperoni but fewer than 41 pieces of pepperoni.", "answer": "4", "table": "**Pieces of pepperoni per pizza**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 8, 9, 9 |\n| 2 | 1, 2, 4 |\n| 3 | 0, 0, 5, 9 |\n| 4 | 0, 0, 1, 1, 3, 6 |" } ] }, { "id": "5592", "image": "5592.png", "conversations": [ { "from": "human", "question": "Dr. Chan, a pediatrician, weighed all the children who recently visited her office. What is the weight of the lightest child?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 1.\n\nNow find the lowest leaf in the first row. The lowest leaf is 2.\n\nThe weight of the lightest child has a stem of 1 and a leaf of 2. Write the stem first, then the leaf: 12.\n\nThe weight of the lightest child is 12 pounds.", "answer": "12", "table": "**Children's weights (lbs)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 2 |\n| 2 | |\n| 3 | 8 |\n| 4 | 2, 4 |\n| 5 | |\n| 6 | 2 |\n| 7 | |\n| 8 | 0, 1, 9 |" } ] }, { "id": "5596", "image": "5596.png", "conversations": [ { "from": "human", "question": "An archer recalled how many times he hit the bull's-eye in the past 4 days. On which day did the archer hit the fewest bull's-eyes?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 10.\n\nNow find the corresponding day. Monday corresponds to 10.", "answer": "Monday", "table": "**Bull's-eyes**\n\n| Day | Number of bull's-eyes |\n| --- | --- |\n| Sunday | 16 |\n| Monday | 10 |\n| Tuesday | 12 |\n| Wednesday | 15 |" } ] }, { "id": "5597", "image": "5597.png", "conversations": [ { "from": "human", "question": "Colin has $1.50. Does he have enough to buy a rubber duck and a tiny doll?\n" }, { "from": "gpt", "solution": "Add the price of a rubber duck and the price of a tiny doll:\n\n$0.76 + $0.51 = $1.27\n\n$1.27 is less than $1.50. Colin does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| plastic horse | $0.98 |\n| green bouncy ball | $0.21 |\n| rubber duck | $0.76 |\n| small teddy bear | $0.56 |\n| tiny doll | $0.51 |" } ] }, { "id": "5602", "image": "5602.png", "conversations": [ { "from": "human", "question": "A machine at the candy factory dispensed different numbers of lemon-flavored candies into various bags. How many bags had exactly 2 lemon-flavored candies?\n" }, { "from": "gpt", "solution": "For the number 2, the stem is 0, and the leaf is 2. Find the row where the stem is 0. In that row, count all the leaves equal to 2.\n\nYou counted 0 leaves. 0 bags had exactly2 lemon-flavored candies.", "answer": "0", "table": "**Lemon-flavored candies per bag**\n\n| Stem | Leaf |\n| --- | --- |\n| 0 | 4, 5, 7, 8 |\n| 1 | 0, 4 |\n| 2 | 2, 6, 6, 8, 9 |\n| 3 | 1, 6, 7, 8 |\n| 4 | 3 |" } ] }, { "id": "5609", "image": "5609.png", "conversations": [ { "from": "human", "question": "The houses in Krysta's town get their water from a local reservoir. Krysta and a group of engineers monitor the water level for safety and health reasons. The change in water level over two months is shown in the table. During which month did the water level change more?\n" }, { "from": "gpt", "solution": "A positive change means the water level went up. A negative change means the water level went down.\nTo find the month the water level changed more, use absolute value. Absolute value tells you how much the water level changed each month.\nApril: |-6| = 6\nMay: |4| = 4\nThe water level went down 6 inches in April, and it only went up 4 inches in May. The water level changed more in April.", "answer": "April", "table": "| Month | Change in water level (in.) |\n| --- | --- |\n| April | -6 |\n| May | 4 |" } ] }, { "id": "5611", "image": "5611.png", "conversations": [ { "from": "human", "question": "Maureen's class paid attention to how many bottles each student collected for their recycling project. Together, how many bottles did Maureen and Alexis collect?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nMaureen: 773\nAlexis: 100\n\nNow add: 773 + 100 = 873.\n\nMaureen and Alexis collected 873 bottles.", "answer": "873", "table": "**Bottles collected**\n\n| Name | Number of bottles |\n| --- | --- |\n| Maureen | 773 |\n| Alexis | 100 |\n| Jenna | 515 |" } ] }, { "id": "5621", "image": "5621.png", "conversations": [ { "from": "human", "question": "A cable company analyst paid attention to how many new customers it had each day. On which day did the cable company have the fewest new customers?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 82.\n\nNow find the corresponding day. Saturday corresponds to 82.", "answer": "Saturday", "table": "**New cable customers**\n\n| Day | Number of new customers |\n| --- | --- |\n| Thursday | 85 |\n| Friday | 89 |\n| Saturday | 82 |\n| Sunday | 86 |" } ] }, { "id": "5623", "image": "5623.png", "conversations": [ { "from": "human", "question": "Michelle counted all the beads in each necklace at the jewelry store where she works. How many necklaces had exactly 30 beads?\n" }, { "from": "gpt", "solution": "For the number 30, the stem is 3, and the leaf is 0. Find the row where the stem is 3. In that row, count all the leaves equal to 0.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 necklaces had exactly 30 beads.", "answer": "3", "table": "**Beads per necklace**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 4, 8 |\n| 3 | 0, 0, 0, 2, 3, 6, 6, 7, 8, 9 |\n| 4 | 0, 1, 1, 4, 4, 9 |\n| 5 | 5, 9 |\n| 6 | 2, 3, 3 |" } ] }, { "id": "5624", "image": "5624.png", "conversations": [ { "from": "human", "question": "A concession stand worker at the movie theater looked up how many bags of popcorn were sold in the past 4 days. On which day did the movie theater sell the fewest bags of popcorn?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 617.\n\nNow find the corresponding day. Saturday corresponds to 617.", "answer": "Saturday", "table": "**Bags of popcorn sold**\n\n| Day | Number of bags of popcorn |\n| --- | --- |\n| Friday | 671 |\n| Saturday | 617 |\n| Sunday | 661 |\n| Monday | 672 |" } ] }, { "id": "5634", "image": "5634.png", "conversations": [ { "from": "human", "question": "How much money does Percy need to buy a book about hiking and a book about Australia?\n" }, { "from": "gpt", "solution": "Add the price of a book about hiking and the price of a book about Australia:\n\n$5 + $7 = $12\n\nPercy needs $12.", "answer": "12", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| book about Asia | $6 |\n| book about Antarctica | $8 |\n| book about Australia | $7 |\n| book about hiking | $5 |\n| book about Europe | $7 |\n| book about cars | $5 |" } ] }, { "id": "5647", "image": "5647.png", "conversations": [ { "from": "human", "question": "How much more does a forklift cost than a crane?\n" }, { "from": "gpt", "solution": "Subtract the price of a crane from the price of a forklift.\n\n$9,434 - $8,469 = $965\n\nA forklift costs $965 more than a crane.", "answer": "965", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| crane | $8,469 |\n| dump truck | $8,169 |\n| forklift | $9,434 |\n| bulldozer | $7,263 |\n| hydrofoil | $9,918 |\n| race car | $9,397 |" } ] }, { "id": "5649", "image": "5649.png", "conversations": [ { "from": "human", "question": "How much more does a box of thermometers cost than a telescope?\n" }, { "from": "gpt", "solution": "Subtract the price of a telescope from the price of a box of thermometers.\n\n$617.00 - $509.00 = $108.00\n\nA box of thermometers costs $108.00 more than a telescope.", "answer": "108", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| telescope | $509.00 |\n| case of beakers | $161.00 |\n| laboratory freezer | $616.00 |\n| box of thermometers | $617.00 |" } ] }, { "id": "5657", "image": "5657.png", "conversations": [ { "from": "human", "question": "Tessa kept a log of how many minutes she spent practicing skating over the past 4 days. On which day did Tessa practice the least?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 92.\n\nNow find the corresponding day. Saturday corresponds to 92.", "answer": "Saturday", "table": "**Minutes spent practicing**\n\n| Day | Minutes |\n| --- | --- |\n| Saturday | 92 |\n| Sunday | 96 |\n| Monday | 94 |\n| Tuesday | 93 |" } ] }, { "id": "5664", "image": "5664.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which event begins at 2.55 P.M.?\n" }, { "from": "gpt", "solution": "Find 2:55 P. M. on the schedule. The orchestra rehearsal begins at 2:55 P. M.", "answer": "orchestra rehearsal", "table": "**High school schedule**\n\n| Event | Begin | End |\n| --- | --- | --- |\n| debate team meeting | 1:05 P.M. | 2:35 P.M. |\n| women's basketball practice | 2:00 P.M. | 3:00 P.M. |\n| orchestra rehearsal | 2:55 P.M. | 3:45 P.M. |\n| speech team meeting | 3:35 P.M. | 4:45 P.M. |\n| band concert | 4:05 P.M. | 4:50 P.M. |\n| French club meeting | 4:35 P.M. | 5:40 P.M. |\n| theater auditions | 5:00 P.M. | 5:45 P.M. |\n| wrestling practice | 5:35 P.M. | 7:10 P.M. |\n| choir rehearsal | 6:55 P.M. | 7:35 P.M. |" } ] }, { "id": "5666", "image": "5666.png", "conversations": [ { "from": "human", "question": "Seth bought 3 pounds of white rice. How much did he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the white rice. Multiply the price per pound by the number of pounds.\n\n$2 × 3 = $6\n\nHe spent $6.", "answer": "6", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| long grain rice | $1 per lb |\n| brown rice | $3 per lb |\n| white rice | $2 per lb |\n| jasmine rice | $3 per lb |\n| basmati rice | $3 per lb |" } ] }, { "id": "5671", "image": "5671.png", "conversations": [ { "from": "human", "question": "Jeffrey has $1.09. Does he have enough to buy a scallop shell and a polished silver top shell?\n" }, { "from": "gpt", "solution": "Add the price of a scallop shell and the price of a polished silver top shell:\n\n$0.87 + $0.18 = $1.05\n\n$1.05 is less than $1.09. Jeffrey does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| spiral snail shell | $0.45 |\n| scallop shell | $0.87 |\n| pink conch shell | $0.42 |\n| polished silver top shell | $0.18 |\n| shiny gold shell | $0.65 |" } ] }, { "id": "5673", "image": "5673.png", "conversations": [ { "from": "human", "question": "Principal Carson reported the state test scores from some students at his school. How many students scored exactly 10 points?\n" }, { "from": "gpt", "solution": "For the number 10, the stem is 1, and the leaf is 0. Find the row where the stem is 1. In that row, count all the leaves equal to 0.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 students scored exactly10 points.", "answer": "2", "table": "**Test scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 0, 4, 4, 4, 5, 9 |\n| 2 | |\n| 3 | |\n| 4 | 1, 2, 2, 2, 3 |\n| 5 | 4, 5, 7, 9, 9 |\n| 6 | 4, 4 |\n| 7 | 2, 9 |\n| 8 | 1 |" } ] }, { "id": "5674", "image": "5674.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Bob is at Comfy Pillows Resort at 11.45 A.M. How soon can he get to City of Green Trees?\n" }, { "from": "gpt", "solution": "Look at the row for Comfy Pillows Resort. Find the next train departing from Comfy Pillows Resort after 11:45 A. M. This train departs from Comfy Pillows Resort at 2:00 P. M.\n\nLook down the column until you find the row for City of Green Trees.\n\nBob will get to City of Green Trees at 2:30 P. M.", "answer": "2:30 P.M.", "table": "**Train schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 | Column 5 | Column 6 |\n| --- | --- | --- | --- | --- | --- |\n| Chickenville | 2:30 A.M. | 7:30 A.M. | 10:45 A.M. | 1:15 P.M. | 2:30 P.M. |\n| Comfy Pillows Resort | 3:15 A.M. | 8:15 A.M. | 11:30 A.M. | 2:00 P.M. | 3:15 P.M. |\n| City of Green Trees | 3:45 A.M. | 8:45 A.M. | 12:00 P.M. | 2:30 P.M. | 3:45 P.M. |\n| Rollercoaster Land | 4:30 A.M. | 9:30 A.M. | 12:45 P.M. | 3:15 P.M. | 4:30 P.M. |" } ] }, { "id": "5675", "image": "5675.png", "conversations": [ { "from": "human", "question": "The members of the science club shared how many times they had been to the zoo last year. How many members went to the zoo more than 4 times?\n" }, { "from": "gpt", "solution": "Find the row for 5 times and read the frequency. The frequency is 20.\n\n20 members went to the zoo more than 4 times.", "answer": "20", "table": "**Trips to the zoo last year**\n\n| Number of trips | Frequency |\n| --- | --- |\n| 0 | 6 |\n| 1 | 11 |\n| 2 | 5 |\n| 3 | 17 |\n| 4 | 19 |\n| 5 | 20 |" } ] }, { "id": "5680", "image": "5680.png", "conversations": [ { "from": "human", "question": "Hugo has $1,133. Does he have enough to buy a violin and a cello?\n" }, { "from": "gpt", "solution": "Add the price of a violin and the price of a cello:\n\n$421 + $739 = $1,160\n\n$1,160 is more than $1,133. Hugo does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| trumpet | $964 |\n| guitar | $517 |\n| cello | $739 |\n| violin | $421 |" } ] }, { "id": "5695", "image": "5695.png", "conversations": [ { "from": "human", "question": "A pair of Putnam High School hockey fans counted the number of games won by the school each year. According to the table, what was the rate of change between 2012 and 2013?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{16 games - 4 games}{2013 - 2012}\n = \\frac{16 games - 4 games}{1 year}\n = \\frac{12 games}{1 year}\n = 12 games per year\nThe rate of change between 2012 and 2013 was 12 games per year.", "answer": "12", "table": "**Hockey games won by Putnam High**\n\n| Year | Games won |\n| --- | --- |\n| 2012 | 4 |\n| 2013 | 16 |\n| 2014 | 4 |\n| 2015 | 19 |\n| 2016 | 17 |" } ] }, { "id": "5698", "image": "5698.png", "conversations": [ { "from": "human", "question": "Emir is shopping for a new bicycle. He is most interested in color and type of tires. What is the probability that a randomly selected bike has road bike tires and is red? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the bike has road bike tires\" and B be the event \"the bike is red\".\nTo find the probability that a bike has road bike tires and is red, first identify the sample space and the event.\nThe outcomes in the sample space are the different bikes. Each bike is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the bike has road bike tires and is red\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the bike has road bike tires and is red\", so look at the table to see how many bikes have road bike tires and are a red.\nThe number of bikes that have road bike tires and are a red is 4.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of bikes.\n4 + 2 + 1 + 3 = 10\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{4}{10}\n = \\frac{2}{5}\nThe probability that a bike has road bike tires and is red is \\frac{2}{5}.", "answer": "2/5", "table": "| | Red | Green |\n| --- | --- | --- |\n| Road bike tires | 4 | 1 |\n| Mountain bike tires | 2 | 3 |" } ] }, { "id": "5704", "image": "5704.png", "conversations": [ { "from": "human", "question": "An architecture student measured the heights of all the buildings downtown. How many buildings are at least 40 meters tall but less than 53 meters tall?\n" }, { "from": "gpt", "solution": "Count all the leaves in the row with stem 4.\n\nIn the row with stem 5, count all the leaves less than 3.\n\nYou counted 5 leaves, which are blue in the stem-and-leaf plots above. 5 buildings are at least 40 meters tall but less than 53 meters tall.", "answer": "5", "table": "**Building heights (meters)**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 0, 2 |\n| 3 | 2, 2, 4 |\n| 4 | 0, 0, 4, 5, 8 |\n| 5 | 8, 9 |\n| 6 | 1, 1, 2, 4, 5, 6, 8 |\n| 7 | 2, 5, 8, 8 |" } ] }, { "id": "5705", "image": "5705.png", "conversations": [ { "from": "human", "question": "How much more does a ham and cheese omelette cost than potatoes?\n" }, { "from": "gpt", "solution": "Subtract the price of potatoes from the price of a ham and cheese omelette.\n\n$6.06 - $4.28 = $1.78\n\nA ham and cheese omelette costs $1.78 more than potatoes.", "answer": "1.78", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| hash browns | $2.15 |\n| potatoes | $4.28 |\n| ham and cheese omelette | $6.06 |\n| fried eggs | $2.39 |\n| waffle with berries | $5.98 |" } ] }, { "id": "5717", "image": "5717.png", "conversations": [ { "from": "human", "question": "Danielle just returned from a spring break volunteer trip. She is shopping for a photo album that will showcase her photos from the trip. The albums range in photo capacity and orientation. What is the probability that a randomly selected photo album holds exactly 100 photos and is oriented vertically? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the photo album holds exactly100 photos\" and B be the event \"the photo album is oriented vertically\".\nTo find the probability that a photo album holds exactly100 photos and is oriented vertically, first identify the sample space and the event.\nThe outcomes in the sample space are the different photo albums. Each photo album is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the photo album holds exactly100 photos and is oriented vertically\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the photo album holds exactly100 photos and is oriented vertically\", so look at the table to see how many photo albums hold exactly100 photos and are oriented vertically.\nThe number of photo albums that hold exactly100 photos and are oriented vertically is 5.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of photo albums.\n5 + 5 + 2 + 5 = 17\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{5}{17}\nThe probability that a photo album holds exactly100 photos and is oriented vertically is \\frac{5}{17}.", "answer": "5/17", "table": "| | Horizontally | Vertically |\n| --- | --- | --- |\n| 50 photos | 5 | 2 |\n| 100 photos | 5 | 5 |" } ] }, { "id": "5718", "image": "5718.png", "conversations": [ { "from": "human", "question": "The owner of an orchard kept records about how many apples were picked in the past 4 days. On which day were the fewest apples picked?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 415.\n\nNow find the corresponding day. Tuesday corresponds to 415.", "answer": "Tuesday", "table": "**Apples picked**\n\n| Day | Number of apples |\n| --- | --- |\n| Saturday | 458 |\n| Sunday | 451 |\n| Monday | 441 |\n| Tuesday | 415 |" } ] }, { "id": "5719", "image": "5719.png", "conversations": [ { "from": "human", "question": "While doing a project for P. E. class, Evan researched the number of athletes competing in an international sporting event. How many countries have exactly 57 athletes?\n" }, { "from": "gpt", "solution": "For the number 57, the stem is 5, and the leaf is 7. Find the row where the stem is 5. In that row, count all the leaves equal to 7.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 countries have exactly 57 athletes.", "answer": "2", "table": "**Athletes per country**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1, 3, 7, 7 |\n| 2 | 1, 2 |\n| 3 | 3 |\n| 4 | 7, 8 |\n| 5 | 1, 7, 7 |" } ] }, { "id": "5722", "image": "5722.png", "conversations": [ { "from": "human", "question": "How much more does a fleece blanket cost than a beach blanket?\n" }, { "from": "gpt", "solution": "Subtract the price of a beach blanket from the price of a fleece blanket.\n\n$14.08 - $13.52 = $0.56\n\nA fleece blanket costs $0.56 more than a beach blanket.", "answer": "0.56", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| quilt | $35.11 |\n| yellow bath towel | $17.99 |\n| pillow | $12.75 |\n| fleece blanket | $14.08 |\n| flannel sheet | $19.47 |\n| beach blanket | $13.52 |" } ] }, { "id": "5724", "image": "5724.png", "conversations": [ { "from": "human", "question": "A baker wrote down how many pies she made in the past 7 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n10, 6, 6, 8, 3, 1, 9\n\nFirst, arrange the numbers from least to greatest:\n\n1, 3, 6, 6, 8, 9, 10\n\nNow find the number in the middle.\n\n1, 3, 6, 6, 8, 9, 10\n\nThe number in the middle is 6.\n\nThe median is 6.", "answer": "6", "table": "**Pies baked**\n\n| Day | Number of pies |\n| --- | --- |\n| Thursday | 10 |\n| Friday | 6 |\n| Saturday | 6 |\n| Sunday | 8 |\n| Monday | 3 |\n| Tuesday | 1 |\n| Wednesday | 9 |" } ] }, { "id": "5739", "image": "5739.png", "conversations": [ { "from": "human", "question": "Madelyn graphed the temperature at noon for 5 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 10, 5, 7, 7\n\nFirst, arrange the numbers from least to greatest:\n\n5, 7, 7, 7, 10\n\nNow find the number in the middle.\n\n5, 7, 7, 7, 10\n\nThe number in the middle is 7.\n\nThe median is 7.", "answer": "7", "table": "**Temperature at noon**\n\n| Day | Temperature (°C) |\n| --- | --- |\n| Thursday | 7 |\n| Friday | 10 |\n| Saturday | 5 |\n| Sunday | 7 |\n| Monday | 7 |" } ] }, { "id": "5745", "image": "5745.png", "conversations": [ { "from": "human", "question": "A printing shop kept a log of how many sheets of paper were used in the past 3 days. How many more sheets of paper did the printing shop use on Wednesday than on Tuesday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nWednesday: 738\nTuesday: 490\n\nNow subtract: 738 - 490 = 248.\n\nThe printing shop used 248 more sheets of paper on Wednesday.", "answer": "248", "table": "**Sheets of paper used**\n\n| Day | Number of sheets of paper |\n| --- | --- |\n| Monday | 106 |\n| Tuesday | 490 |\n| Wednesday | 738 |" } ] }, { "id": "5750", "image": "5750.png", "conversations": [ { "from": "human", "question": "How much money does Kari need to buy 2 chocolate-chip cookies and 2 blueberry muffins?\n" }, { "from": "gpt", "solution": "Find the cost of 2 chocolate-chip cookies.\n\n$1.93 × 2 = $3.86\n\nFind the cost of 2 blueberry muffins.\n\n$2.36 × 2 = $4.72\n\nNow find the total cost.\n\n$3.86 + $4.72 = $8.58\n\nKari needs $8.58.", "answer": "8.58", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| ice cream cone | $2.36 |\n| slice of peach pie | $1.40 |\n| chocolate-chip cookie | $1.93 |\n| blueberry muffin | $2.36 |" } ] }, { "id": "5751", "image": "5751.png", "conversations": [ { "from": "human", "question": "The city recorded how many fire hydrants there are on each street. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 3, 8, 9, 1, 3, 5\n\nFirst, count how many numbers are in the group.\n\nThere are 7 numbers.\n\nNow add all the numbers together:\n\n6 + 3 + 8 + 9 + 1 + 3 + 5 = 35\n\nNow divide the sum by the number of numbers:\n\n35 ÷ 7 = 5\n\nThe mean is 5.", "answer": "5", "table": "**Fire hydrants**\n\n| Street | Number of hydrants |\n| --- | --- |\n| Rose Street | 6 |\n| Cedar Street | 3 |\n| Lemon Street | 8 |\n| Maple Street | 9 |\n| Pine Street | 1 |\n| Fir Street | 3 |\n| Oak Street | 5 |" } ] }, { "id": "5752", "image": "5752.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $380, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $380, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $80 | 20,200 | 15,300 |\n| $180 | 15,400 | 17,200 |\n| $280 | 10,600 | 19,100 |\n| $380 | 5,800 | 21,000 |\n| $480 | 1,000 | 22,900 |" } ] }, { "id": "5759", "image": "5759.png", "conversations": [ { "from": "human", "question": "Josie went on a bird watching trip and jotted down the number of birds she saw each day. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n81, 79, 79, 77, 79\n\nFirst, arrange the numbers from least to greatest:\n\n77, 79, 79, 79, 81\n\nNow find the number in the middle.\n\n77, 79, 79, 79, 81\n\nThe number in the middle is 79.\n\nThe median is 79.", "answer": "79", "table": "**Number of birds**\n\n| Day | Number of birds |\n| --- | --- |\n| Tuesday | 81 |\n| Wednesday | 79 |\n| Thursday | 79 |\n| Friday | 77 |\n| Saturday | 79 |" } ] }, { "id": "5770", "image": "5770.png", "conversations": [ { "from": "human", "question": "A crayon factory monitored the number of broken crayons per box during the past day. How many boxes had exactly 73 broken crayons?\n" }, { "from": "gpt", "solution": "For the number 73, the stem is 7, and the leaf is 3. Find the row where the stem is 7. In that row, count all the leaves equal to 3.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 boxes had exactly 73 broken crayons.", "answer": "2", "table": "**Broken crayons per box**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 0, 2, 3, 4, 5 |\n| 3 | 2, 8 |\n| 4 | 1, 6, 7 |\n| 5 | 0, 6, 9 |\n| 6 | 2, 3, 9, 9 |\n| 7 | 2, 3, 3, 6, 8, 8 |" } ] }, { "id": "5772", "image": "5772.png", "conversations": [ { "from": "human", "question": "How much money does Barry need to buy a picture book and a mystery novel?\n" }, { "from": "gpt", "solution": "Add the price of a picture book and the price of a mystery novel:\n\n$10 + $25 = $35\n\nBarry needs $35.", "answer": "35", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| math book | $18 |\n| poetry book | $17 |\n| picture book | $10 |\n| mystery novel | $25 |" } ] }, { "id": "5777", "image": "5777.png", "conversations": [ { "from": "human", "question": "Look at Bronson's pay stub. Bronson lives in a state that has state income tax. How much did Bronson make after taxes?\n" }, { "from": "gpt", "solution": "Find how much Bronson made after taxes. Find the total payroll tax, then subtract it from the total earnings.\nTo find the total payroll tax, add the federal income tax, state income tax, and other taxes.\nThe total earnings are $1,200.00. The total payroll tax is $286.54. Subtract to find the difference.\n$1,200.00 - $286.54 = $913.46\nBronson made $913.46 after taxes.", "answer": "913.46", "table": "| Employee | Pay period | |\n| --- | --- | --- |\n| Bronson Le | March 16-31 | |\n| Total earnings | | $1,200.00 |\n| Federal income tax | $133.44 | |\n| State income tax | $62.10 | |\n| Other taxes | $91.00 | |\n| Total taxes | | ? |\n| Pay after taxes | | ? |" } ] }, { "id": "5778", "image": "5778.png", "conversations": [ { "from": "human", "question": "Henry kept track of the number of games his soccer team won each year. According to the table, what was the rate of change between 2013 and 2014?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{20 games - 16 games}{2014 - 2013}\n = \\frac{20 games - 16 games}{1 year}\n = \\frac{4 games}{1 year}\n = 4 games per year\nThe rate of change between 2013 and 2014 was 4 games per year.", "answer": "4", "table": "**Games won by Henry's soccer team**\n\n| Year | Games won |\n| --- | --- |\n| 2010 | 14 |\n| 2011 | 20 |\n| 2012 | 19 |\n| 2013 | 16 |\n| 2014 | 20 |" } ] }, { "id": "5779", "image": "5779.png", "conversations": [ { "from": "human", "question": "In the first episode of a reality show, contestants had to spin two wheels of fate. Spinning the first wheel determined the remote location where contestants would reside for the duration of the season. Spinning the second wheel determined which \"bonus survival tool\" they would be allowed to bring, along with a few other necessary items. What is the probability that a randomly selected participant spun the second wheel and landed on a tent and spun the first wheel and landed on desert? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the participant spun the second wheel and landed on a tent\" and B be the event \"the participant spun the first wheel and landed on desert\".\nTo find the probability that a participant spun the second wheel and landed on a tent and spun the first wheel and landed on desert, first identify the sample space and the event.\nThe outcomes in the sample space are the different participants. Each participant is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the participant spun the second wheel and landed on a tent and spun the first wheel and landed on desert\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the participant spun the second wheel and landed on a tent and spun the first wheel and landed on desert\", so look at the table to see how many participants spun the second wheel and landed on a tent and spun the first wheel and landed on desert.\nThe number of participants who spun the second wheel and landed on a tent and spun the first wheel and landed on desert is 5.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of participants.\n5 + 4 + 4 + 4 = 17\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{5}{17}\nThe probability that a participant spun the second wheel and landed on a tent and spun the first wheel and landed on desert is \\frac{5}{17}.", "answer": "5/17", "table": "| | Desert | Rainforest |\n| --- | --- | --- |\n| A tent | 5 | 4 |\n| Matches | 4 | 4 |" } ] }, { "id": "5786", "image": "5786.png", "conversations": [ { "from": "human", "question": "Each bunch has 5 balloons. How many balloons are in 3 bunches?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 15 balloons in 3 bunches.", "answer": "15", "table": "| Number of bunches | Number of balloons |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | ? |" } ] }, { "id": "5787", "image": "5787.png", "conversations": [ { "from": "human", "question": "A shipping company keeps track of the number of boxes in each shipment they send out. How many shipments had exactly 63 boxes?\n" }, { "from": "gpt", "solution": "For the number 63, the stem is 6, and the leaf is 3. Find the row where the stem is 6. In that row, count all the leaves equal to 3.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 shipments had exactly 63 boxes.", "answer": "3", "table": "**Boxes per shipment**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 0 |\n| 3 | 0, 2 |\n| 4 | 3, 3, 5, 5 |\n| 5 | 2, 5, 8, 9 |\n| 6 | 3, 3, 3, 6 |\n| 7 | 5 |\n| 8 | 0, 3, 5, 9 |\n| 9 | 0 |" } ] }, { "id": "5789", "image": "5789.png", "conversations": [ { "from": "human", "question": "A food manufacturer surveyed consumers about their macaroni and cheese consumption. How many people ate macaroni and cheese more than 1 time?\n" }, { "from": "gpt", "solution": "Find the rows for 2, 3, 4, 5, and 6 times. Add the frequencies for these rows.\n\nAdd:\n\n5 + 2 + 3 + 15 + 19 = 44\n\n44 people ate macaroni and cheese more than 1 time.", "answer": "44", "table": "**Eating macaroni and cheese last month**\n\n| Times eaten | Frequency |\n| --- | --- |\n| 0 | 9 |\n| 1 | 20 |\n| 2 | 5 |\n| 3 | 2 |\n| 4 | 3 |\n| 5 | 15 |\n| 6 | 19 |" } ] }, { "id": "5790", "image": "5790.png", "conversations": [ { "from": "human", "question": "Justin kept track of how long it took to finish his homework each day. According to the table, what was the rate of change between Monday and Tuesday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{15 minutes - 13 minutes}{1 day}\n = \\frac{2 minutes}{1 day}\n = 2 minutes per day\nThe rate of change between Monday and Tuesday was 2 minutes per day.", "answer": "2", "table": "**Time Justin spent on homework**\n\n| Day | Minutes |\n| --- | --- |\n| Sunday | 15 |\n| Monday | 13 |\n| Tuesday | 15 |\n| Wednesday | 14 |\n| Thursday | 16 |" } ] }, { "id": "5797", "image": "5797.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $1,195, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $1,195, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $635 | 18,700 | 1,000 |\n| $775 | 17,700 | 5,500 |\n| $915 | 16,700 | 10,000 |\n| $1,055 | 15,700 | 14,500 |\n| $1,195 | 14,700 | 19,000 |" } ] }, { "id": "5800", "image": "5800.png", "conversations": [ { "from": "human", "question": "Rose kept a log of how many minutes she spent practicing skiing over the past 5 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n57, 63, 61, 56, 66\n\nFirst, find the greatest number. The greatest number is 66.\n\nNext, find the least number. The least number is 56.\n\nSubtract the least number from the greatest number:\n\n66 − 56 = 10\n\nThe range is 10.", "answer": "10", "table": "**Minutes spent practicing**\n\n| Day | Minutes |\n| --- | --- |\n| Tuesday | 57 |\n| Wednesday | 63 |\n| Thursday | 61 |\n| Friday | 56 |\n| Saturday | 66 |" } ] }, { "id": "5805", "image": "5805.png", "conversations": [ { "from": "human", "question": "How much money does Stacy need to buy a grapefruit and an orange?\n" }, { "from": "gpt", "solution": "Add the price of a grapefruit and the price of an orange:\n\n$0.57 + $0.57 = $1.14\n\nStacy needs $1.14.", "answer": "1.14", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| grapefruit | $0.57 |\n| lemon | $0.24 |\n| red pepper | $0.67 |\n| orange | $0.57 |\n| cucumber | $0.51 |" } ] }, { "id": "5809", "image": "5809.png", "conversations": [ { "from": "human", "question": "The transportation company tracked the number of train tickets sold in the past 4 days. On which day were the most train tickets sold?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 787.\n\nNow find the corresponding day. Tuesday corresponds to 787.", "answer": "Tuesday", "table": "**Train tickets sold**\n\n| Day | Number of tickets |\n| --- | --- |\n| Monday | 738 |\n| Tuesday | 787 |\n| Wednesday | 772 |\n| Thursday | 783 |" } ] }, { "id": "5813", "image": "5813.png", "conversations": [ { "from": "human", "question": "For a science fair project, Mackenzie tracked the temperature each day. How many temperature readings were at least 10°C but less than 18°C?\n" }, { "from": "gpt", "solution": "Find the row with stem 1. Count all the leaves greater than or equal to 0 and less than 8.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 temperature readings were at least 10°C but less than 18°C.", "answer": "4", "table": "**Daily temperatures (°C)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1, 1, 2, 2 |\n| 2 | 3, 6, 6, 7, 8 |\n| 3 | 0, 2, 2, 3, 5, 5 |\n| 4 | 1, 3 |" } ] }, { "id": "5820", "image": "5820.png", "conversations": [ { "from": "human", "question": "Professor Manning released the results of yesterday's pop quiz. How many students scored exactly 65 points?\n" }, { "from": "gpt", "solution": "For the number 65, the stem is 6, and the leaf is 5. Find the row where the stem is 6. In that row, count all the leaves equal to 5.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 students scored exactly 65 points.", "answer": "2", "table": "**Pop quiz scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 4 |\n| 2 | 2, 9 |\n| 3 | 5 |\n| 4 | 3, 4 |\n| 5 | |\n| 6 | 5, 5 |\n| 7 | |\n| 8 | 5 |\n| 9 | 0 |" } ] }, { "id": "5823", "image": "5823.png", "conversations": [ { "from": "human", "question": "A museum curator counted the number of paintings in each exhibit at the art museum. How many exhibits have at least 20 paintings but fewer than 50 paintings?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 2, 3, and 4.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 exhibits have at least 20 paintings but fewer than 50 paintings.", "answer": "3", "table": "**Paintings per exhibit**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 5 |\n| 2 | 5, 9 |\n| 3 | 0 |\n| 4 | |\n| 5 | |\n| 6 | 3, 6 |" } ] }, { "id": "5827", "image": "5827.png", "conversations": [ { "from": "human", "question": "Sandra owns the Smooth Sips smoothie shop. She recorded her Friday morning sales in a frequency chart. Strawberry smoothies sell for $6 each. How much money did Sandra's shop make from strawberry smoothies?\n" }, { "from": "gpt", "solution": "The frequencies tell you how many of each smoothie flavor Smooth Sips sold. Start by finding how many strawberry smoothies they sold.\nSmooth Sips sold 27 strawberry smoothies for $6 each. Multiply.\n27 × $6 = $162\nSmooth Sips made $162 from strawberry smoothies.", "answer": "162", "table": "**Smoothie sales**\n\n| Flavors | Frequency |\n| --- | --- |\n| banana | 22 |\n| mango | 18 |\n| orange | 11 |\n| pineapple | 15 |\n| strawberry | 27 |" } ] }, { "id": "5835", "image": "5835.png", "conversations": [ { "from": "human", "question": "While looking through an almanac at the library, Neil noticed some data showing the population density of various states. How many more people per square mile lived in Nevada in 2000 than in 1990?\n" }, { "from": "gpt", "solution": "Find the Nevada row. Find the numbers in this row for 2000 and 1990.\n\n2000: 18\n1990: 10\n\nNow subtract:\n\n18 − 10 = 8\n\n8 more people per square mile lived in Nevada in 2000 than in 1990.", "answer": "8", "table": "**Population per square mile**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| State | 1990 | 2000 |\n| Wyoming | 4 | 5 |\n| Nevada | 10 | 18 |\n| Idaho | 12 | 15 |" } ] }, { "id": "5844", "image": "5844.png", "conversations": [ { "from": "human", "question": "Each kitchen cabinet has 10 bowls. How many bowls are in 5 kitchen cabinets?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 50 bowls in 5 kitchen cabinets.", "answer": "50", "table": "| Number of kitchen cabinets | Number of bowls |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | 40 |\n| 5 | ? |" } ] }, { "id": "5847", "image": "5847.png", "conversations": [ { "from": "human", "question": "Jill has $74.00. Does she have enough to buy a car show ticket and a baseball ticket?\n" }, { "from": "gpt", "solution": "Add the price of a car show ticket and the price of a baseball ticket:\n\n$29.00 + $46.00 = $75.00\n\n$75.00 is more than $74.00. Jill does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| comedy show ticket | $28.00 |\n| car show ticket | $29.00 |\n| basketball ticket | $44.00 |\n| baseball ticket | $46.00 |\n| airplane show ticket | $30.00 |" } ] }, { "id": "5857", "image": "5857.png", "conversations": [ { "from": "human", "question": "The school district compared how many math teachers each high school has. Which school has the most math teachers?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 19.\n\nNow find the corresponding high school. River High corresponds to 19.", "answer": "River High", "table": "**Math teachers**\n\n| High school | Number of math teachers |\n| --- | --- |\n| Westside High | 11 |\n| River High | 19 |\n| Central High | 15 |\n| Northside High | 16 |" } ] }, { "id": "5867", "image": "5867.png", "conversations": [ { "from": "human", "question": "Professor Mitchell released the results of yesterday's pop quiz. How many students scored exactly 29 points?\n" }, { "from": "gpt", "solution": "For the number 29, the stem is 2, and the leaf is 9. Find the row where the stem is 2. In that row, count all the leaves equal to 9.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 students scored exactly29 points.", "answer": "3", "table": "**Pop quiz scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 9, 9, 9 |\n| 3 | 8 |\n| 4 | 1, 2, 3, 3 |\n| 5 | 0, 0 |\n| 6 | 2 |\n| 7 | 1 |" } ] }, { "id": "5870", "image": "5870.png", "conversations": [ { "from": "human", "question": "How much more does an iron bench cost than a swing set?\n" }, { "from": "gpt", "solution": "Subtract the price of a swing set from the price of an iron bench.\n\n$462.00 - $147.00 = $315.00\n\nAn iron bench costs $315.00 more than a swing set.", "answer": "315", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| picnic table | $213.00 |\n| iron bench | $462.00 |\n| fountain | $127.00 |\n| swing set | $147.00 |\n| barbecue grill | $951.00 |\n| wooden bench | $184.00 |" } ] }, { "id": "5872", "image": "5872.png", "conversations": [ { "from": "human", "question": "How much money does Madelyn need to buy a pink and white striped shell and a beautiful yellow shell?\n" }, { "from": "gpt", "solution": "Add the price of a pink and white striped shell and the price of a beautiful yellow shell:\n\n$0.56 + $0.43 = $0.99\n\nMadelyn needs $0.99.", "answer": "0.99", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| beautiful yellow shell | $0.43 |\n| shiny gold shell | $0.69 |\n| pink and white striped shell | $0.56 |\n| oyster shell | $0.68 |" } ] }, { "id": "5874", "image": "5874.png", "conversations": [ { "from": "human", "question": "Steven jotted down how many baskets he made during basketball practice each day. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n8, 8, 8, 9, 9\n\nFirst, arrange the numbers from least to greatest:\n\n8, 8, 8, 9, 9\n\nNow count how many times each number appears.\n\n8 appears 3 times.\n9 appears 2 times.\n\nThe number that appears most often is 8.\n\nThe mode is 8.", "answer": "8", "table": "**Baskets made**\n\n| Day | Number of baskets |\n| --- | --- |\n| Saturday | 8 |\n| Sunday | 8 |\n| Monday | 8 |\n| Tuesday | 9 |\n| Wednesday | 9 |" } ] }, { "id": "5881", "image": "5881.png", "conversations": [ { "from": "human", "question": "Alan's class recorded how many cans of food each student collected for their canned food drive. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 7, 10, 7, 8, 6, 9\n\nFirst, count how many numbers are in the group.\n\nThere are 7 numbers.\n\nNow add all the numbers together:\n\n9 + 7 + 10 + 7 + 8 + 6 + 9 = 56\n\nNow divide the sum by the number of numbers:\n\n56 ÷ 7 = 8\n\nThe mean is 8.", "answer": "8", "table": "**Cans of food collected**\n\n| Name | Number of cans of food |\n| --- | --- |\n| Alan | 9 |\n| Miles | 7 |\n| Keenan | 10 |\n| Charlotte | 7 |\n| Tristan | 8 |\n| Ellie | 6 |\n| Neil | 9 |" } ] }, { "id": "5890", "image": "5890.png", "conversations": [ { "from": "human", "question": "The coach of the Academic Bowl recorded the scores in a trivia game to determine who would represent the school at the regional competition. How many people scored 10?\n" }, { "from": "gpt", "solution": "Find the row for 10 and read the frequency. The frequency is 6.\n\n6 people scored 10.", "answer": "6", "table": "**Scores in a trivia game**\n\n| Score | Frequency |\n| --- | --- |\n| 5 | 5 |\n| 6 | 9 |\n| 7 | 8 |\n| 8 | 10 |\n| 9 | 1 |\n| 10 | 6 |" } ] }, { "id": "5894", "image": "5894.png", "conversations": [ { "from": "human", "question": "Simon kept track of how long it took to finish his homework each day. According to the table, what was the rate of change between Thursday and Friday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{37 minutes - 35 minutes}{1 day}\n = \\frac{2 minutes}{1 day}\n = 2 minutes per day\nThe rate of change between Thursday and Friday was 2 minutes per day.", "answer": "2", "table": "**Time Simon spent on homework**\n\n| Day | Minutes |\n| --- | --- |\n| Monday | 41 |\n| Tuesday | 38 |\n| Wednesday | 34 |\n| Thursday | 35 |\n| Friday | 37 |" } ] }, { "id": "5896", "image": "5896.png", "conversations": [ { "from": "human", "question": "How much would it cost to buy 3 pounds of green seedless grapes, 4 pounds of Concord grapes, and 5 pounds of muscadine grapes?\n" }, { "from": "gpt", "solution": "Find the cost of the green seedless grapes. Multiply:\n\n$4 × 3 = $12\n\nFind the cost of the Concord grapes. Multiply:\n\n$1 × 4 = $4\n\nFind the cost of the muscadine grapes. Multiply:\n\n$2 × 5 = $10\n\nNow find the total cost by adding:\n\n$12 + $4 + $10 = $26\n\nIt would cost $26.", "answer": "26", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| muscadine grapes | $2 per pound |\n| Concord grapes | $1 per pound |\n| regular red grapes | $4 per pound |\n| green seedless grapes | $4 per pound |" } ] }, { "id": "5897", "image": "5897.png", "conversations": [ { "from": "human", "question": "Professor Carson released the results of yesterday's pop quiz. How many students scored at least 70 points but fewer than 80 points?\n" }, { "from": "gpt", "solution": "Count all the leaves in the row with stem 7.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 students scored at least 70 points but fewer than 80 points.", "answer": "2", "table": "**Pop quiz scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 9 |\n| 3 | 5, 5 |\n| 4 | 1, 4 |\n| 5 | 9 |\n| 6 | 0, 1 |\n| 7 | 1, 7 |\n| 8 | 5 |\n| 9 | 0 |" } ] }, { "id": "5899", "image": "5899.png", "conversations": [ { "from": "human", "question": "Kathleen found out the sizes of all the clubs at her school. What is the size of the smallest club?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 1.\n\nNow find the lowest leaf in the first row. The lowest leaf is 1.\n\nThe size of the smallest club has a stem of 1 and a leaf of 1. Write the stem first, then the leaf: 11.\n\nThe size of the smallest club is 11 members.", "answer": "11", "table": "**Club sizes (number of members)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1, 8, 8 |\n| 2 | 1, 3 |\n| 3 | 0, 1, 2, 3, 7 |\n| 4 | 2, 5, 5 |\n| 5 | 6, 8 |\n| 6 | 0, 2, 2, 7 |\n| 7 | 1, 5, 6 |\n| 8 | 6 |" } ] }, { "id": "5902", "image": "5902.png", "conversations": [ { "from": "human", "question": "Kelly has $1.09. Does she have enough to buy a can of fruit cocktail and a jar of olives?\n" }, { "from": "gpt", "solution": "Add the price of a can of fruit cocktail and the price of a jar of olives:\n\n$0.50 + $0.55 = $1.05\n\n$1.05 is less than $1.09. Kelly does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| can of corn | $0.97 |\n| can of tuna fish | $0.60 |\n| jar of olives | $0.55 |\n| can of fruit cocktail | $0.50 |\n| jar of pickles | $0.81 |" } ] }, { "id": "5903", "image": "5903.png", "conversations": [ { "from": "human", "question": "For a class assignment, Wyatt wanted to study whether or not the color of a person's car correlates with the color of his or her hair. He spent an hour at a stoplight recording the color of each car that passed and the hair color of its driver. What is the probability that a randomly selected driver has a blue car and has red hair? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the driver has a blue car\" and B be the event \"the driver has red hair\".\nTo find the probability that a driver has a blue car and has red hair, first identify the sample space and the event.\nThe outcomes in the sample space are the different drivers. Each driver is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the driver has a blue car and has red hair\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the driver has a blue car and has red hair\", so look at the table to see how many drivers have a blue car and have red hair.\nThe number of drivers who have a blue car and have red hair is 3.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of drivers.\n7 + 3 + 3 + 6 = 19\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{3}{19}\nThe probability that a driver has a blue car and has red hair is \\frac{3}{19}.", "answer": "3/19", "table": "| | Red hair | Blonde hair |\n| --- | --- | --- |\n| Red car | 7 | 3 |\n| Blue car | 3 | 6 |" } ] }, { "id": "5908", "image": "5908.png", "conversations": [ { "from": "human", "question": "How much money does Megan need to buy a broom, a wrench, and a can of paint?\n" }, { "from": "gpt", "solution": "Find the total cost of a broom, a wrench, and a can of paint.\n\n$20 + $14 + $10 = $44\n\nMegan needs $44.", "answer": "44", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| wrench | $14 |\n| can of paint | $10 |\n| lawn mower | $57 |\n| broom | $20 |\n| rake | $22 |" } ] }, { "id": "5910", "image": "5910.png", "conversations": [ { "from": "human", "question": "Each barn has 2 sheep. How many sheep are in 6 barns?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 12 sheep in 6 barns.", "answer": "12", "table": "| Number of barns | Number of sheep |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | 6 |\n| 4 | 8 |\n| 5 | 10 |\n| 6 | ? |" } ] }, { "id": "5914", "image": "5914.png", "conversations": [ { "from": "human", "question": "An agricultural agency is researching how much cheese people have been eating in different parts of the world. Which country consumed the most cheese per capita in 2006?\n" }, { "from": "gpt", "solution": "Look at the numbers in the 2006 column. Find the greatest number in this column.\n\nThe greatest number is 20, which is in the Germany row. Germany consumed the most cheese per capita in 2006.", "answer": "Germany", "table": "**Cheese consumption per capita (kg)**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 1996 | 2006 |\n| Germany | 12 | 20 |\n| Great Britain | 9 | 10 |\n| Canada | 10 | 11 |\n| Australia | 10 | 10 |\n| Argentina | 11 | 11 |" } ] }, { "id": "5931", "image": "5931.png", "conversations": [ { "from": "human", "question": "In a study on public parking, the director of transportation counted the number of cars in each of the city's parking lots. What is the smallest number of cars?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 1.\n\nNow find the lowest leaf in the first row. The lowest leaf is 2.\n\nThe smallest number of cars has a stem of 1 and a leaf of 2. Write the stem first, then the leaf: 12.\n\nThe smallest number of cars is 12 cars.", "answer": "12", "table": "**Cars per parking lot**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | 9 |\n| 4 | |\n| 5 | |\n| 6 | 2, 6 |\n| 7 | 8 |" } ] }, { "id": "5932", "image": "5932.png", "conversations": [ { "from": "human", "question": "The school district compared how many math teachers each high school has. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n4, 9, 8, 6, 10, 8, 8, 9\n\nFirst, find the greatest number. The greatest number is 10.\n\nNext, find the least number. The least number is 4.\n\nSubtract the least number from the greatest number:\n\n10 − 4 = 6\n\nThe range is 6.", "answer": "6", "table": "**Math teachers**\n\n| High school | Number of math teachers |\n| --- | --- |\n| Green High | 4 |\n| Cedar High | 9 |\n| Westside High | 8 |\n| Northside High | 6 |\n| Lincoln High | 10 |\n| Hillview High | 8 |\n| Moore High | 8 |\n| River High | 9 |" } ] }, { "id": "5936", "image": "5936.png", "conversations": [ { "from": "human", "question": "Several people compared how many Web pages they had visited. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n8, 2, 8, 4, 4\n\nFirst, arrange the numbers from least to greatest:\n\n2, 4, 4, 8, 8\n\nNow find the number in the middle.\n\n2, 4, 4, 8, 8\n\nThe number in the middle is 4.\n\nThe median is 4.", "answer": "4", "table": "**Web pages visited**\n\n| Person | Number of Web pages |\n| --- | --- |\n| Franco | 8 |\n| Brennan | 2 |\n| Ryan | 8 |\n| Pete | 4 |\n| Susan | 4 |" } ] }, { "id": "5939", "image": "5939.png", "conversations": [ { "from": "human", "question": "Jeffrey has $87.00. Does he have enough to buy a photograph signed by a famous television star and a photograph signed by a famous movie star?\n" }, { "from": "gpt", "solution": "Add the price of a photograph signed by a famous television star and the price of a photograph signed by a famous movie star:\n\n$46.43 + $39.65 = $86.08\n\n$86.08 is less than $87.00. Jeffrey does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| photograph signed by a famous television star | $46.43 |\n| photograph signed by a famous movie star | $39.65 |\n| jersey signed by a famous hockey player | $77.83 |\n| ball signed by a famous football player | $99.67 |" } ] }, { "id": "5943", "image": "5943.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. At which stop does the train arrive at 12.10 A.M.?\n" }, { "from": "gpt", "solution": "Find 12:10 A. M. on the schedule. The train arrives at Pleasant River Campground at 12:10 A. M.", "answer": "Pleasant River Campground", "table": "**Train schedule**\n\n| Location | Arrive | Depart |\n| --- | --- | --- |\n| Happy Cow Farm | 11:15 P.M. | 11:25 P.M. |\n| Pleasant River Campground | 12:10 A.M. | 12:35 A.M. |\n| Rocky Ravine Town | 1:35 A.M. | 1:45 A.M. |\n| Floral Gardens | 2:25 A.M. | 2:45 A.M. |\n| City of Green Trees | 3:45 A.M. | 4:15 A.M. |\n| Magician Village | 4:50 A.M. | 5:00 A.M. |\n| Gecko Paradise | 6:00 A.M. | 6:10 A.M. |\n| Chickenville | 7:05 A.M. | 7:30 A.M. |\n| Rollercoaster Land | 8:05 A.M. | 8:30 A.M. |\n| Snowy Mountain | 9:30 A.M. | 9:50 A.M. |" } ] }, { "id": "5944", "image": "5944.png", "conversations": [ { "from": "human", "question": "Valentina has $928. Does she have enough to buy a telescope and a scale?\n" }, { "from": "gpt", "solution": "Add the price of a telescope and the price of a scale:\n\n$366 + $533 = $899\n\n$899 is less than $928. Valentina does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| case of beakers | $366 |\n| precision balance | $553 |\n| scale | $533 |\n| telescope | $366 |" } ] }, { "id": "5946", "image": "5946.png", "conversations": [ { "from": "human", "question": "A sports network displayed the number of Olympic medals won by certain countries over time. How many more medals did Sweden win in 1984 than in 1988?\n" }, { "from": "gpt", "solution": "Find the Sweden row. Find the numbers in this row for 1984 and 1988.\n\n1984: 19\n1988: 11\n\nNow subtract:\n\n19 − 11 = 8\n\nSweden won 8 more medals in 1984 than in 1988.", "answer": "8", "table": "**Olympic medals**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 1984 | 1988 |\n| Finland | 12 | 4 |\n| Sweden | 19 | 11 |\n| Brazil | 8 | 6 |" } ] }, { "id": "5952", "image": "5952.png", "conversations": [ { "from": "human", "question": "The school district compared how many math teachers each high school has. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n5, 3, 5, 3, 3\n\nFirst, arrange the numbers from least to greatest:\n\n3, 3, 3, 5, 5\n\nNow count how many times each number appears.\n\n3 appears 3 times.\n5 appears 2 times.\n\nThe number that appears most often is 3.\n\nThe mode is 3.", "answer": "3", "table": "**Math teachers**\n\n| High school | Number of math teachers |\n| --- | --- |\n| Cedar High | 5 |\n| River High | 3 |\n| Lincoln High | 5 |\n| Hillview High | 3 |\n| Westside High | 3 |" } ] }, { "id": "5954", "image": "5954.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{10 - 20}{9 - 8}\n = \\frac{-10}{1}\n = -10\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{2 - 10}{10 - 9}\n = \\frac{-8}{1}\n = -8\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 8 | 20 |\n| 9 | 10 |\n| 10 | 2 |" } ] }, { "id": "5963", "image": "5963.png", "conversations": [ { "from": "human", "question": "An ice cream shop kept track of how many ice cream cones it sold in the past 4 days. On which day did the shop sell the fewest ice cream cones?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 51.\n\nNow find the corresponding day. Thursday corresponds to 51.", "answer": "Thursday", "table": "**Ice cream cones sold**\n\n| Day | Number of ice cream cones |\n| --- | --- |\n| Thursday | 51 |\n| Friday | 59 |\n| Saturday | 58 |\n| Sunday | 53 |" } ] }, { "id": "5967", "image": "5967.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $755, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $755, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $235 | 19,900 | 1,500 |\n| $365 | 15,200 | 6,200 |\n| $495 | 10,500 | 10,900 |\n| $625 | 5,800 | 15,600 |\n| $755 | 1,100 | 20,300 |" } ] }, { "id": "5976", "image": "5976.png", "conversations": [ { "from": "human", "question": "Erin, who rents properties for a living, measures all the offices in a building she is renting. How many offices are at least 30 square meters?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 3, 4, and 5.\n\nYou counted 6 leaves, which are blue in the stem-and-leaf plot above. 6 offices are at least 30 square meters.", "answer": "6", "table": "**Office sizes (square meters)**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 1, 8 |\n| 3 | 3, 5, 5 |\n| 4 | |\n| 5 | 0, 0, 6 |" } ] }, { "id": "5977", "image": "5977.png", "conversations": [ { "from": "human", "question": "The school district compared how many math teachers each high school has. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n18, 18, 17, 14, 20, 15\n\nFirst, count how many numbers are in the group.\n\nThere are 6 numbers.\n\nNow add all the numbers together:\n\n18 + 18 + 17 + 14 + 20 + 15 = 102\n\nNow divide the sum by the number of numbers:\n\n102 ÷ 6 = 17\n\nThe mean is 17.", "answer": "17", "table": "**Math teachers**\n\n| High school | Number of math teachers |\n| --- | --- |\n| Green High | 18 |\n| Thompson High | 18 |\n| Moore High | 17 |\n| Westside High | 14 |\n| River High | 20 |\n| Cedar High | 15 |" } ] }, { "id": "5978", "image": "5978.png", "conversations": [ { "from": "human", "question": "A machine dispensed red gumdrops into bags of various sizes. How many bags had at least 30 red gumdrops but less than 90 red gumdrops?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 3, 4, 5, 6, 7, and 8.\n\nYou counted 8 leaves, which are blue in the stem-and-leaf plot above. 8 bags had at least 30 red gumdrops but less than 90 red gumdrops.", "answer": "8", "table": "**Red gumdrops per bag**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 2, 7 |\n| 3 | 8 |\n| 4 | 2, 9 |\n| 5 | 6, 7, 7 |\n| 6 | |\n| 7 | 6, 6 |\n| 8 | |\n| 9 | 0 |" } ] }, { "id": "5979", "image": "5979.png", "conversations": [ { "from": "human", "question": "Maura kept track of how many kilometers she walked during the past 7 days. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n14, 13, 13, 13, 14, 19, 19\n\nFirst, arrange the numbers from least to greatest:\n\n13, 13, 13, 14, 14, 19, 19\n\nNow count how many times each number appears.\n\n13 appears 3 times.\n14 appears 2 times.\n19 appears 2 times.\n\nThe number that appears most often is 13.\n\nThe mode is 13.", "answer": "13", "table": "**Kilometers walked**\n\n| Day | Kilometers |\n| --- | --- |\n| Sunday | 14 |\n| Monday | 13 |\n| Tuesday | 13 |\n| Wednesday | 13 |\n| Thursday | 14 |\n| Friday | 19 |\n| Saturday | 19 |" } ] }, { "id": "5988", "image": "5988.png", "conversations": [ { "from": "human", "question": "Darrell has $9.00. Does he have enough to buy a book about art and a book about soccer?\n" }, { "from": "gpt", "solution": "Add the price of a book about art and the price of a book about soccer:\n\n$2.00 + $6.00 = $8.00\n\n$8.00 is less than $9.00. Darrell does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| book about trains | $1.00 |\n| book about art | $2.00 |\n| book about birds | $7.00 |\n| book about soccer | $6.00 |" } ] }, { "id": "5989", "image": "5989.png", "conversations": [ { "from": "human", "question": "A customer at a sushi restaurant was examining the types of sushi rolls offered on the menu. Rolls vary by type of fish and level of spiciness. Rolls only contain one type of fish. What is the probability that a randomly selected sushi roll is labeled not spicy and contains salmon? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the sushi roll is labeled not spicy\" and B be the event \"the sushi roll contains salmon\".\nTo find the probability that a sushi roll is labeled not spicy and contains salmon, first identify the sample space and the event.\nThe outcomes in the sample space are the different sushi rolls. Each sushi roll is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the sushi roll is labeled not spicy and contains salmon\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the sushi roll is labeled not spicy and contains salmon\", so look at the table to see how many sushi rolls are labeled not spicy and contain salmon.\nThe number of sushi rolls that are labeled not spicy and contain salmon is 4.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of sushi rolls.\n4 + 2 + 4 + 2 = 12\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{4}{12}\n = \\frac{1}{3}\nThe probability that a sushi roll is labeled not spicy and contains salmon is \\frac{1}{3}.", "answer": "1/3", "table": "| | Yellowtail | Salmon |\n| --- | --- | --- |\n| Not spicy | 4 | 4 |\n| A little spicy | 2 | 2 |" } ] }, { "id": "5992", "image": "5992.png", "conversations": [ { "from": "human", "question": "Erica kept track of how many boxes of cookies she sold over the past 6 days. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n1, 6, 8, 6, 6, 3\n\nFirst, count how many numbers are in the group.\n\nThere are 6 numbers.\n\nNow add all the numbers together:\n\n1 + 6 + 8 + 6 + 6 + 3 = 30\n\nNow divide the sum by the number of numbers:\n\n30 ÷ 6 = 5\n\nThe mean is 5.", "answer": "5", "table": "**Boxes of cookies sold**\n\n| Day | Number of boxes |\n| --- | --- |\n| Saturday | 1 |\n| Sunday | 6 |\n| Monday | 8 |\n| Tuesday | 6 |\n| Wednesday | 6 |\n| Thursday | 3 |" } ] }, { "id": "5998", "image": "5998.png", "conversations": [ { "from": "human", "question": "Each restaurant has 5 booths. How many booths are in 3 restaurants?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 15 booths in 3 restaurants.", "answer": "15", "table": "| Number of restaurants | Number of booths |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | ? |" } ] }, { "id": "6001", "image": "6001.png", "conversations": [ { "from": "human", "question": "Sarah counted the number of ducks at each pond in the city. How many ponds had fewer than 100 ducks?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 3, 4, 5, 6, 7, 8, and 9.\n\nYou counted 17 leaves, which are blue in the stem-and-leaf plot above. 17 ponds had fewer than 100 ducks.", "answer": "17", "table": "**Ducks per pond**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 0, 7 |\n| 4 | 4, 7 |\n| 5 | 4, 4 |\n| 6 | 1 |\n| 7 | 0, 3, 8, 9 |\n| 8 | 0, 1, 8, 8 |\n| 9 | 0, 0 |" } ] }, { "id": "6009", "image": "6009.png", "conversations": [ { "from": "human", "question": "The Springtown Chamber of Commerce researched the number of employees working at local companies. How many companies have less than 89 employees?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 2, 3, 4, 5, 6, and 7.\n\nIn the row with stem 8, count all the leaves less than 9.\n\nYou counted 19 leaves, which are blue in the stem-and-leaf plots above. 19 companies have less than 89 employees.", "answer": "19", "table": "**Company sizes (number of employees)**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 8 |\n| 3 | 3, 3, 4 |\n| 4 | 0, 6, 6, 7, 9 |\n| 5 | 1, 2, 8 |\n| 6 | 1, 8 |\n| 7 | 2, 2, 8, 8 |\n| 8 | 2, 9 |\n| 9 | 0 |" } ] }, { "id": "6011", "image": "6011.png", "conversations": [ { "from": "human", "question": "Erin wants to buy 2 pounds of tin, 2 pounds of aluminum, and 4 pounds of plastic scrap. How much will she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the tin. Multiply:\n\n$2.08 × 2 = $4.16\n\nFind the cost of the aluminum. Multiply:\n\n$5.36 × 2 = $10.72\n\nFind the cost of the plastic scrap. Multiply:\n\n$1.46 × 4 = $5.84\n\nNow find the total cost by adding:\n\n$4.16 + $10.72 + $5.84 = $20.72\n\nShe will spend $20.72.", "answer": "20.72", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| cardboard | $0.93/pound |\n| glass | $0.97/pound |\n| plastic scrap | $1.46/pound |\n| newspaper | $1.89/pound |\n| aluminum | $5.36/pound |\n| tin | $2.08/pound |\n| mixed paper | $1.08/pound |" } ] }, { "id": "6017", "image": "6017.png", "conversations": [ { "from": "human", "question": "In science class, Janelle is measuring the temperature of different chemical mixtures. The temperatures of two mixtures are shown in the table. Which mixture's temperature is closest to zero?\n" }, { "from": "gpt", "solution": "A positive number means the temperature is above zero. A negative number means the temperature is below zero.\nTo find the temperature closest to zero, use absolute value. The absolute value of a temperature tells you how far it is from zero.\nBromine mixture: |-4| = 4\nAcetone mixture: |5| = 5\nThe temperature of the bromine mixture is closest to zero. It is only 4 degrees below zero.", "answer": "bromine mixture", "table": "| Mixture | Temperature (°C) |\n| --- | --- |\n| Bromine mixture | -4 |\n| Acetone mixture | 5 |" } ] }, { "id": "6019", "image": "6019.png", "conversations": [ { "from": "human", "question": "A food critic counted the number of menu items at each restaurant in town. What is the largest number of menu items?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 7.\n\nNow find the highest leaf in the last row. The highest leaf is 4.\n\nThe largest number of menu items has a stem of 7 and a leaf of 4. Write the stem first, then the leaf: 74.\n\nThe largest number of menu items is 74 menu items.", "answer": "74", "table": "**Menu items per restaurant**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 6, 9 |\n| 2 | |\n| 3 | |\n| 4 | |\n| 5 | 0, 5 |\n| 6 | 2 |\n| 7 | 4 |" } ] }, { "id": "6024", "image": "6024.png", "conversations": [ { "from": "human", "question": "The city recorded how many fire hydrants there are on each street. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n18, 20, 20, 18, 18\n\nFirst, arrange the numbers from least to greatest:\n\n18, 18, 18, 20, 20\n\nNow count how many times each number appears.\n\n18 appears 3 times.\n20 appears 2 times.\n\nThe number that appears most often is 18.\n\nThe mode is 18.", "answer": "18", "table": "**Fire hydrants**\n\n| Street | Number of hydrants |\n| --- | --- |\n| Fir Street | 18 |\n| Lemon Street | 20 |\n| Rose Street | 20 |\n| Aspen Street | 18 |\n| Maple Street | 18 |" } ] }, { "id": "6026", "image": "6026.png", "conversations": [ { "from": "human", "question": "A theme park developer recorded the number of people who visited the local water park last summer. How many people went to the water park at least 3 times?\n" }, { "from": "gpt", "solution": "Find the rows for 3, 4, and 5 times. Add the frequencies for these rows.\n\nAdd:\n\n0 + 5 + 7 = 12\n\n12 people went to the water park at least 3 times.", "answer": "12", "table": "**Going to the water park last summer**\n\n| Number of trips | Frequency |\n| --- | --- |\n| 1 | 12 |\n| 2 | 16 |\n| 3 | 0 |\n| 4 | 5 |\n| 5 | 7 |" } ] }, { "id": "6030", "image": "6030.png", "conversations": [ { "from": "human", "question": "Students who graduate from Malone University can receive Latin honors if they excelled in their studies. What fraction of students receiving honors graduated magna cum laude? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many students graduated magna cum laude.\n\n54\n\nFind how many students graduated with honors in total.\n\n19 + 70 + 54 = 143\n\nDivide 54 by143.\n\n\\frac{54}{143}\n\n\\frac{54}{143} of students graduated magna cum laude.", "answer": "54/143", "table": "**Honors**\n\n| Rank | Number of graduates |\n| --- | --- |\n| Cum laude | 19 |\n| Summa cum laude | 70 |\n| Magna cum laude | 54 |" } ] }, { "id": "6036", "image": "6036.png", "conversations": [ { "from": "human", "question": "Jamal bought 1/10 of a pound of cement. How much did he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the cement. Multiply the price per pound by the number of pounds.\n$5 × \\frac{1}{10} = $5 × 0.1 = $0.50\nHe spent $0.50.", "answer": "0.50", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| mulch | $5 per pound |\n| cement | $5 per pound |\n| sawdust | $5 per pound |\n| sand | $2 per pound |" } ] }, { "id": "6046", "image": "6046.png", "conversations": [ { "from": "human", "question": "A county agency recorded the money donated to several charitable causes over time. In April, which cause raised the most money?\n" }, { "from": "gpt", "solution": "Look at the numbers in the April column. Find the greatest number in this column.\n\nThe greatest number is $18.00, which is in the Education row. In April, the most money was raised for education.", "answer": "education", "table": "**Donations received**\n\n| Cause | March | April |\n| --- | --- | --- |\n| Parks | $5 | $10 |\n| Hunger | $5 | $10 |\n| Medical research | $17 | $12 |\n| Education | $3 | $18 |\n| Animals | $12 | $6 |" } ] }, { "id": "6051", "image": "6051.png", "conversations": [ { "from": "human", "question": "How much more does a navy blue bath mat cost than a green kitchen towel?\n" }, { "from": "gpt", "solution": "Subtract the price of a green kitchen towel from the price of a navy blue bath mat.\n\n$7.57 - $2.99 = $4.58\n\nA navy blue bath mat costs $4.58 more than a green kitchen towel.", "answer": "4.58", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| green kitchen towel | $2.99 |\n| beach blanket | $6.89 |\n| navy blue bath mat | $7.57 |\n| flannel sheet | $7.01 |\n| beach towel | $6.38 |" } ] }, { "id": "6055", "image": "6055.png", "conversations": [ { "from": "human", "question": "How much money does Sebastian need to buy a pecan pie and a strawberry cheesecake?\n" }, { "from": "gpt", "solution": "Add the price of a pecan pie and the price of a strawberry cheesecake:\n\n$7.89 + $8.90 = $16.79\n\nSebastian needs $16.79.", "answer": "16.79", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| chocolate cheesecake | $9.00 |\n| blueberry cheesecake | $8.84 |\n| key lime pie | $9.56 |\n| strawberry cheesecake | $8.90 |\n| pear tart | $9.07 |\n| pecan pie | $7.89 |" } ] }, { "id": "6058", "image": "6058.png", "conversations": [ { "from": "human", "question": "Nina paid attention to her pedometer to find out how many steps she had taken in the past 5 days. How many more steps did Nina take on Wednesday than on Sunday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nWednesday: 7,389\nSunday: 2,945\n\nNow subtract: 7,389 - 2,945 = 4,444.\n\nNina took 4,444 more steps on Wednesday", "answer": "4,444", "table": "**Steps taken**\n\n| Day | Number of steps |\n| --- | --- |\n| Saturday | 6,120 |\n| Sunday | 2,945 |\n| Monday | 4,285 |\n| Tuesday | 8,521 |\n| Wednesday | 7,389 |" } ] }, { "id": "6060", "image": "6060.png", "conversations": [ { "from": "human", "question": "Jim's classmates revealed how many science articles they read. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n10, 8, 9, 10, 8, 10\n\nFirst, find the greatest number. The greatest number is 10.\n\nNext, find the least number. The least number is 8.\n\nSubtract the least number from the greatest number:\n\n10 − 8 = 2\n\nThe range is 2.", "answer": "2", "table": "**Science articles read**\n\n| Name | Number of science articles |\n| --- | --- |\n| Jim | 10 |\n| Bernie | 8 |\n| Rachel | 9 |\n| Elijah | 10 |\n| Isabella | 8 |\n| Alexis | 10 |" } ] }, { "id": "6064", "image": "6064.png", "conversations": [ { "from": "human", "question": "Avery wrote down how many spelling words she practiced each day. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n8, 10, 9, 8, 9\n\nFirst, find the greatest number. The greatest number is 10.\n\nNext, find the least number. The least number is 8.\n\nSubtract the least number from the greatest number:\n\n10 − 8 = 2\n\nThe range is 2.", "answer": "2", "table": "**Spelling words practiced**\n\n| Day | Number of spelling words |\n| --- | --- |\n| Friday | 8 |\n| Saturday | 10 |\n| Sunday | 9 |\n| Monday | 8 |\n| Tuesday | 9 |" } ] }, { "id": "6067", "image": "6067.png", "conversations": [ { "from": "human", "question": "For an assignment, Stefan looked at which countries got the most Nobel Prizes in various decades. Which country had more Nobel Prize winners in the 1970s, Russia or Germany?\n" }, { "from": "gpt", "solution": "Find the 1970 s column. Compare the numbers in this column for Russia and Germany.\n\n9 is more than 5. Germany had more Nobel Prize winners in the 1970 s.", "answer": "Germany", "table": "**Nobel Prize winners**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 1970s | 1980s |\n| Germany | 9 | 11 |\n| Canada | 2 | 3 |\n| Russia | 5 | 1 |\n| France | 3 | 5 |" } ] }, { "id": "6073", "image": "6073.png", "conversations": [ { "from": "human", "question": "Sanjay has $152.00. Does he have enough to buy a soccer ticket and a golf ticket?\n" }, { "from": "gpt", "solution": "Add the price of a soccer ticket and the price of a golf ticket:\n\n$98.00 + $59.00 = $157.00\n\n$157.00 is more than $152.00. Sanjay does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| soccer ticket | $98.00 |\n| baseball ticket | $35.00 |\n| football ticket | $79.00 |\n| golf ticket | $59.00 |" } ] }, { "id": "6085", "image": "6085.png", "conversations": [ { "from": "human", "question": "A furniture store kept a record of how many couches it sold each day. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n2, 2, 7, 3, 8\n\nFirst, arrange the numbers from least to greatest:\n\n2, 2, 3, 7, 8\n\nNow find the number in the middle.\n\n2, 2, 3, 7, 8\n\nThe number in the middle is 3.\n\nThe median is 3.", "answer": "3", "table": "**Couches sold**\n\n| Day | Number of couches |\n| --- | --- |\n| Friday | 2 |\n| Saturday | 2 |\n| Sunday | 7 |\n| Monday | 3 |\n| Tuesday | 8 |" } ] }, { "id": "6093", "image": "6093.png", "conversations": [ { "from": "human", "question": "Jenny has $20.76. How much money will Jenny have left if she buys a green dress and a pair of boots?\n" }, { "from": "gpt", "solution": "Find the total cost of a green dress and a pair of boots.\n\n$5.86 + $9.12 = $14.98\n\nNow subtract the total cost from the starting amount.\n\n$20.76 - $14.98 = $5.78\n\nJenny will have $5.78 left.", "answer": "5.78", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pair of brown pants | $5.05 |\n| pair of boots | $9.12 |\n| green dress | $5.86 |\n| yellow skirt | $5.62 |\n| pink sweater | $6.93 |\n| purple T-shirt | $7.93 |" } ] }, { "id": "6100", "image": "6100.png", "conversations": [ { "from": "human", "question": "Some students compared how many clubs they belong to. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n8, 7, 2, 6, 2, 7, 4\n\nFirst, find the greatest number. The greatest number is 8.\n\nNext, find the least number. The least number is 2.\n\nSubtract the least number from the greatest number:\n\n8 − 2 = 6\n\nThe range is 6.", "answer": "6", "table": "**Clubs**\n\n| Name | Number of clubs |\n| --- | --- |\n| Joseph | 8 |\n| Allie | 7 |\n| Eliana | 2 |\n| Leroy | 6 |\n| David | 2 |\n| Tucker | 7 |\n| Xavier | 4 |" } ] }, { "id": "6105", "image": "6105.png", "conversations": [ { "from": "human", "question": "Julia tracked the maximum daily wind speed for 5 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 6, 8, 9, 9\n\nFirst, find the greatest number. The greatest number is 9.\n\nNext, find the least number. The least number is 6.\n\nSubtract the least number from the greatest number:\n\n9 − 6 = 3\n\nThe range is 3.", "answer": "3", "table": "**Daily wind speed**\n\n| Day | Wind speed (miles per hour) |\n| --- | --- |\n| Sunday | 7 |\n| Monday | 6 |\n| Tuesday | 8 |\n| Wednesday | 9 |\n| Thursday | 9 |" } ] }, { "id": "6107", "image": "6107.png", "conversations": [ { "from": "human", "question": "How much money does Emmet need to buy 8 European vacation packages and 7 Caribbean vacation packages?\n" }, { "from": "gpt", "solution": "Find the cost of 8 European vacation packages.\n\n$576 × 8 = $4,608\n\nFind the cost of 7 Caribbean vacation packages.\n\n$613 × 7 = $4,291\n\nNow find the total cost.\n\n$4,608 + $4,291 = $8,899\n\nEmmet needs $8,899.", "answer": "8,899", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| African safari vacation package | $512 |\n| Caribbean vacation package | $613 |\n| European vacation package | $576 |\n| Australian vacation package | $849 |" } ] }, { "id": "6108", "image": "6108.png", "conversations": [ { "from": "human", "question": "For the annual class picnic, each student voted for his or her favorite meal. Did fewer fifth graders choose turkey sandwiches or egg salad for their lunch?\n" }, { "from": "gpt", "solution": "Find the Fifth graders column. Compare the numbers in this column for turkey sandwiches and egg salad.\n\n9 is less than 10. Fewer fifth graders chose turkey sandwiches.", "answer": "turkey sandwiches", "table": "**Lunch choices**\n\n| Lunch | Fourth graders | Fifth graders |\n| --- | --- | --- |\n| Turkey sandwiches | 6 | 9 |\n| Hot dogs | 9 | 10 |\n| Egg salad | 13 | 10 |\n| Spaghetti | 20 | 13 |" } ] }, { "id": "6112", "image": "6112.png", "conversations": [ { "from": "human", "question": "Zack bought 3/5 of a kilogram of double chocolate cookie dough. How much did he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the double chocolate cookie dough. Multiply the price per kilogram by the number of kilograms.\n$2 × \\frac{3}{5} = $2 × 0.6 = $1.20\nHe spent $1.20.", "answer": "1.20", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| snickerdoodle cookie dough | $2 per kg |\n| double chocolate cookie dough | $2 per kg |\n| peanut butter cookie dough | $2 per kg |\n| chocolate chip cookie dough | $2 per kg |\n| gingersnap cookie dough | $2 per kg |\n| oatmeal raisin cookie dough | $2 per kg |" } ] }, { "id": "6117", "image": "6117.png", "conversations": [ { "from": "human", "question": "The school district compared how many math teachers each high school has. Which school has the fewest math teachers?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 12.\n\nNow find the corresponding high school. Lincoln High corresponds to 12.", "answer": "Lincoln High", "table": "**Math teachers**\n\n| High school | Number of math teachers |\n| --- | --- |\n| Washington High | 18 |\n| Hillview High | 17 |\n| Lincoln High | 12 |\n| River High | 19 |" } ] }, { "id": "6119", "image": "6119.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $1,000, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $1,000, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $640 | 16,300 | 14,600 |\n| $730 | 13,700 | 15,400 |\n| $820 | 11,100 | 16,200 |\n| $910 | 8,500 | 17,000 |\n| $1,000 | 5,900 | 17,800 |" } ] }, { "id": "6135", "image": "6135.png", "conversations": [ { "from": "human", "question": "The teachers at a middle school counted how many computers they had in their classrooms. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 1, 4, 7, 4, 3, 1, 1\n\nFirst, arrange the numbers from least to greatest:\n\n1, 1, 1, 3, 4, 4, 7, 7\n\nNow count how many times each number appears.\n\n1 appears 3 times.\n3 appears 1 time.\n4 appears 2 times.\n7 appears 2 times.\n\nThe number that appears most often is 1.\n\nThe mode is 1.", "answer": "1", "table": "**Computers in classrooms**\n\n| Teacher | Number of computers |\n| --- | --- |\n| Mr. Morales | 7 |\n| Mr. Schmidt | 1 |\n| Mrs. Tan | 4 |\n| Mrs. Rossi | 7 |\n| Mrs. Jansen | 4 |\n| Ms. Rojas | 3 |\n| Miss Murphy | 1 |\n| Mr. Lim | 1 |" } ] }, { "id": "6138", "image": "6138.png", "conversations": [ { "from": "human", "question": "Mateo went on a camping trip and logged the number of miles he hiked each day. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 6, 5, 8, 5, 7, 5\n\nFirst, find the greatest number. The greatest number is 8.\n\nNext, find the least number. The least number is 5.\n\nSubtract the least number from the greatest number:\n\n8 − 5 = 3\n\nThe range is 3.", "answer": "3", "table": "**Miles hiked**\n\n| Day | Number of miles |\n| --- | --- |\n| Thursday | 6 |\n| Friday | 6 |\n| Saturday | 5 |\n| Sunday | 8 |\n| Monday | 5 |\n| Tuesday | 7 |\n| Wednesday | 5 |" } ] }, { "id": "6149", "image": "6149.png", "conversations": [ { "from": "human", "question": "How much money does Jason need to buy a set of forks and a baking dish?\n" }, { "from": "gpt", "solution": "Add the price of a set of forks and the price of a baking dish:\n\n$11.35 + $15.53 = $26.88\n\nJason needs $26.88.", "answer": "26.88", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| set of dishes | $25.05 |\n| set of forks | $11.35 |\n| cookie jar | $14.36 |\n| cutting board | $10.52 |\n| baking dish | $15.53 |\n| soup pot | $67.53 |" } ] }, { "id": "6159", "image": "6159.png", "conversations": [ { "from": "human", "question": "The school district compared how many math teachers each high school has. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n5, 4, 4, 2, 5, 3, 5, 9\n\nFirst, find the greatest number. The greatest number is 9.\n\nNext, find the least number. The least number is 2.\n\nSubtract the least number from the greatest number:\n\n9 − 2 = 7\n\nThe range is 7.", "answer": "7", "table": "**Math teachers**\n\n| High school | Number of math teachers |\n| --- | --- |\n| Moore High | 5 |\n| Washington High | 4 |\n| Thompson High | 4 |\n| Hillview High | 2 |\n| Cedar High | 5 |\n| Lincoln High | 3 |\n| River High | 5 |\n| Green High | 9 |" } ] }, { "id": "6163", "image": "6163.png", "conversations": [ { "from": "human", "question": "How much more does an Akita cost than a Cavalier King Charles Spaniel?\n" }, { "from": "gpt", "solution": "Subtract the price of a Cavalier King Charles Spaniel from the price of an Akita.\n\n$3,654 - $1,821 = $1,833\n\nAn Akita costs $1,833 more than a Cavalier King Charles Spaniel.", "answer": "1,833", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| Cavalier King Charles Spaniel | $1,821 |\n| Golden Retriever | $2,772 |\n| Akita | $3,654 |\n| Norfolk Terrier | $3,166 |" } ] }, { "id": "6167", "image": "6167.png", "conversations": [ { "from": "human", "question": "As part of a statistics lesson, Miss Garrison asked her students how many jackets they own. How many students own fewer than 4 jackets?\n" }, { "from": "gpt", "solution": "Find the rows for 0, 1, 2, and 3 jackets. Add the frequencies for these rows.\n\nAdd:\n\n15 + 20 + 10 + 8 = 53\n\n53 students own fewer than 4 jackets.", "answer": "53", "table": "**Jackets**\n\n| Number of jackets | Frequency |\n| --- | --- |\n| 0 | 15 |\n| 1 | 20 |\n| 2 | 10 |\n| 3 | 8 |\n| 4 | 19 |\n| 5 | 1 |\n| 6 | 14 |" } ] }, { "id": "6169", "image": "6169.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does the volleyball event begin?\n" }, { "from": "gpt", "solution": "Find the volleyball event on the schedule. Find the beginning time for the volleyball event.\n\nvolleyball: 2:25 P. M.", "answer": "2:25 P.M.", "table": "**Summer Olympics schedule**\n\n| Event | Begin | End |\n| --- | --- | --- |\n| cycling | 12:30 P.M. | 3:25 P.M. |\n| volleyball | 2:25 P.M. | 6:05 P.M. |\n| wrestling | 5:05 P.M. | 7:45 P.M. |\n| track and field | 6:05 P.M. | 9:25 P.M. |\n| marathon | 8:25 P.M. | 10:30 P.M. |" } ] }, { "id": "6171", "image": "6171.png", "conversations": [ { "from": "human", "question": "The members of the track team compared how many miles they ran last week. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n8, 9, 9, 10, 7, 6, 7, 8\n\nFirst, count how many numbers are in the group.\n\nThere are 8 numbers.\n\nNow add all the numbers together:\n\n8 + 9 + 9 + 10 + 7 + 6 + 7 + 8 = 64\n\nNow divide the sum by the number of numbers:\n\n64 ÷ 8 = 8\n\nThe mean is 8.", "answer": "8", "table": "**Running miles**\n\n| Name | Miles |\n| --- | --- |\n| Shelley | 8 |\n| Joey | 9 |\n| Bella | 9 |\n| Karen | 10 |\n| Amanda | 7 |\n| Nicholas | 6 |\n| Maya | 7 |\n| Dominic | 8 |" } ] }, { "id": "6172", "image": "6172.png", "conversations": [ { "from": "human", "question": "A business magazine surveyed its readers about their commute times. How many commutes are at least 50 minutes?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 5, 6, 7, 8, and 9.\n\nYou counted 7 leaves, which are blue in the stem-and-leaf plot above. 7 commutes are at least 50 minutes.", "answer": "7", "table": "**Commute time (minutes)**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 0, 1, 7 |\n| 4 | 5, 5, 7, 8, 9 |\n| 5 | 6 |\n| 6 | 0, 9 |\n| 7 | |\n| 8 | 0, 2, 9 |\n| 9 | 0 |" } ] }, { "id": "6174", "image": "6174.png", "conversations": [ { "from": "human", "question": "How much money does Betty need to buy a mystery novel and a math book?\n" }, { "from": "gpt", "solution": "Add the price of a mystery novel and the price of a math book:\n\n$6.00 + $5.00 = $11.00\n\nBetty needs $11.00.", "answer": "11", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| math book | $5.00 |\n| science-fiction book | $8.00 |\n| mystery novel | $6.00 |\n| picture book | $7.00 |\n| paperback book | $2.00 |" } ] }, { "id": "6184", "image": "6184.png", "conversations": [ { "from": "human", "question": "A waitress kept track of how many hours she worked each day. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 8, 8, 8, 2, 10, 6\n\nFirst, arrange the numbers from least to greatest:\n\n2, 6, 6, 8, 8, 8, 10\n\nNow find the number in the middle.\n\n2, 6, 6, 8, 8, 8, 10\n\nThe number in the middle is 8.\n\nThe median is 8.", "answer": "8", "table": "**Hours worked**\n\n| Day | Hours |\n| --- | --- |\n| Thursday | 6 |\n| Friday | 8 |\n| Saturday | 8 |\n| Sunday | 8 |\n| Monday | 2 |\n| Tuesday | 10 |\n| Wednesday | 6 |" } ] }, { "id": "6189", "image": "6189.png", "conversations": [ { "from": "human", "question": "How much more does a stereo speaker cost than a cell phone?\n" }, { "from": "gpt", "solution": "Subtract the price of a cell phone from the price of a stereo speaker.\n\n$587 - $386 = $201\n\nA stereo speaker costs $201 more than a cell phone.", "answer": "201", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| cell phone | $386 |\n| big screen TV | $812 |\n| portable DVD player | $421 |\n| MP3 player | $351 |\n| laptop computer | $586 |\n| stereo speaker | $587 |" } ] }, { "id": "6191", "image": "6191.png", "conversations": [ { "from": "human", "question": "A pet store owner had her staff count the number of fish in each tank. How many tanks have exactly 32 fish?\n" }, { "from": "gpt", "solution": "For the number 32, the stem is 3, and the leaf is 2. Find the row where the stem is 3. In that row, count all the leaves equal to 2.\n\nYou counted 1 leaf, which is blue in the stem-and-leaf plot above. 1 tank has exactly 32 fish.", "answer": "1", "table": "**Fish per tank**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 0, 1, 2 |\n| 4 | 4, 4, 8, 8 |\n| 5 | 2 |\n| 6 | 4, 4, 5, 7 |\n| 7 | 8, 8 |\n| 8 | 2, 8 |\n| 9 | 0 |" } ] }, { "id": "6194", "image": "6194.png", "conversations": [ { "from": "human", "question": "The members of the local garden club tallied the number of plants in each person's garden. How many gardens have at least 22 plants but fewer than 41 plants?\n" }, { "from": "gpt", "solution": "Find the row with stem 2. Count all the leaves greater than or equal to 2.\n\nCount all the leaves in the row with stem 3.\n\nIn the row with stem 4, count all the leaves less than 1.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plots above. 2 gardens have at least 22 plants but fewer than 41 plants.", "answer": "2", "table": "**Plants per garden**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 2, 2, 3 |\n| 2 | |\n| 3 | 0, 0 |\n| 4 | 2, 8, 9 |\n| 5 | 6 |\n| 6 | 0 |\n| 7 | |\n| 8 | 5, 6 |" } ] }, { "id": "6200", "image": "6200.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Greta just missed the 3.30 A.M. train at Chickenville. How long does she have to wait until the next train?\n" }, { "from": "gpt", "solution": "Find 3:30 A. M. in the row for Chickenville.\n\nLook for the next train in that row.\n\nThe next train is at 12:30 A. M.\n\nFind the elapsed time. The elapsed time is 21 hours.", "answer": "21 hours", "table": "**Train schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 |\n| --- | --- | --- | --- |\n| Magician Village | 1:30 A.M. | 10:30 P.M. | 11:45 P.M. |\n| Skyscraper City | 2:00 A.M. | 11:00 P.M. | 12:15 A.M. |\n| Floral Gardens | 2:45 A.M. | 11:45 P.M. | 1:00 A.M. |\n| Chickenville | 3:30 A.M. | 12:30 A.M. | 1:45 A.M. |\n| Snowy Mountain | 4:00 A.M. | 1:00 A.M. | 2:15 A.M. |" } ] }, { "id": "6202", "image": "6202.png", "conversations": [ { "from": "human", "question": "An adventure tour company found out how many whales people saw on its most popular whale tour. How many people saw fewer than 3 whales?\n" }, { "from": "gpt", "solution": "Find the rows for 0, 1, and 2 whales. Add the frequencies for these rows.\n\nAdd:\n\n16 + 17 + 5 = 38\n\n38 people saw fewer than 3 whales.", "answer": "38", "table": "**Whale watching**\n\n| Whales spotted | Frequency |\n| --- | --- |\n| 0 | 16 |\n| 1 | 17 |\n| 2 | 5 |\n| 3 | 20 |\n| 4 | 14 |" } ] }, { "id": "6207", "image": "6207.png", "conversations": [ { "from": "human", "question": "The school cafeteria asked students about their favorite sandwiches before updating the lunch menu. How many students voted for cheese sandwiches?\n" }, { "from": "gpt", "solution": "Find the row for cheese. Add the numbers in the Cheese row.\n\nAdd:\n\n6 + 16 = 22\n\n22 students voted for cheese sandwiches.", "answer": "22", "table": "**Favorite sandwiches**\n\n| Sandwich | Lower elementary students | Upper elementary students |\n| --- | --- | --- |\n| Cheese | 6 | 16 |\n| Ham | 4 | 12 |\n| Egg salad | 19 | 18 |\n| Peanut butter | 16 | 19 |\n| Turkey | 18 | 5 |" } ] }, { "id": "6208", "image": "6208.png", "conversations": [ { "from": "human", "question": "Teachers at Newberg Elementary School asked students to name their favorite desserts. What fraction of the votes were for frozen yogurt? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many students voted for frozen yogurt.\n\n210\n\nFind how many votes there were in total.\n\n460 + 210 + 310 = 980\n\nDivide 210 by 980.\n\n\\frac{210}{980}\n\nReduce the fraction.\n\n\\frac{210}{980} → \\frac{3}{14}\n\n\\frac{3}{14} of students voted for frozen yogurt.", "answer": "3/14", "table": "**Favorite desserts**\n\n| Dessert | Votes |\n| --- | --- |\n| Pudding | 460 |\n| Frozen yogurt | 210 |\n| Other | 310 |" } ] }, { "id": "6217", "image": "6217.png", "conversations": [ { "from": "human", "question": "Brian has a part-time job at a cell phone store. Phone sales were so good last year that Brian earned an end-of-year bonus. Here are Brian's yearly finances. What was Brian's net income for the year?\n" }, { "from": "gpt", "solution": "Step 1: Find Brian's gross income.\nAdd Brian's wages and his bonus.\n$19,637 + $1,200 = $20,837\nBrian's gross income for the year was $20,837.\nStep 2: Find Brian's net income.\nBrian's gross income for the year was $20,837, and his total payroll taxes were $3,529.\nSubtract to find Brian's net income.\n$20,837 - $3,529 = $17,308\nBrian's net income for the year was $17,308.", "answer": "17,308", "table": "**Brian's yearly finances**\n\n| Column 1 | Column 2 |\n| --- | --- |\n| Wages from the cell phone store | $19,637 |\n| Bonus before taxes | $1,200 |\n| Income tax and other payroll taxes | $3,529 |" } ] }, { "id": "6221", "image": "6221.png", "conversations": [ { "from": "human", "question": "A real estate agent looked into how many houses were sold in different cities. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n83, 86, 94, 92, 94, 89, 89, 87\n\nFirst, find the greatest number. The greatest number is 94.\n\nNext, find the least number. The least number is 83.\n\nSubtract the least number from the greatest number:\n\n94 − 83 = 11\n\nThe range is 11.", "answer": "11", "table": "**House sales**\n\n| City | Number of houses sold |\n| --- | --- |\n| Briggs Corner | 83 |\n| New Hamburg | 86 |\n| Melville | 94 |\n| Fremont | 92 |\n| Liberty City | 94 |\n| Charles Falls | 89 |\n| Pleasant Town | 89 |\n| Pennytown | 87 |" } ] }, { "id": "6224", "image": "6224.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which event begins at 2.00 P.M.?\n" }, { "from": "gpt", "solution": "Find 2:00 P. M. on the schedule. The hurdles begins at 2:00 P. M.", "answer": "hurdles", "table": "**Field day schedule**\n\n| Event | Begin | End |\n| --- | --- | --- |\n| jump rope race | 10:05 A.M. | 10:30 A.M. |\n| balloon stomp | 10:40 A.M. | 11:35 A.M. |\n| water balloon toss | 11:50 A.M. | 12:15 P.M. |\n| scooter race | 12:30 P.M. | 12:55 P.M. |\n| obstacle course | 1:00 P.M. | 1:55 P.M. |\n| hurdles | 2:00 P.M. | 2:10 P.M. |\n| bean bag toss | 2:15 P.M. | 2:35 P.M. |\n| potato sack race | 2:40 P.M. | 3:40 P.M. |" } ] }, { "id": "6231", "image": "6231.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{10 - 0}{2 - 1}\n = \\frac{10}{1}\n = 10\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{20 - 0}{3 - 1}\n = \\frac{20}{2}\n = 10\nThe two rates of change are the same.\nIf you checked the rate of change between rows 2 and 3, you would find that it is also 10.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 1 | 0 |\n| 2 | 10 |\n| 3 | 20 |" } ] }, { "id": "6237", "image": "6237.png", "conversations": [ { "from": "human", "question": "How much money does Mason need to buy 9 surfing adventure packages and 7 camping adventure packages?\n" }, { "from": "gpt", "solution": "Find the cost of 9 surfing adventure packages.\n\n$229.00 × 9 = $2,061.00\n\nFind the cost of 7 camping adventure packages.\n\n$321.00 × 7 = $2,247.00\n\nNow find the total cost.\n\n$2,061.00 + $2,247.00 = $4,308.00\n\nMason needs $4,308.00.", "answer": "4,308", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| parachuting adventure package | $156.00 |\n| camping adventure package | $321.00 |\n| rock-climbing adventure package | $323.00 |\n| deep-sea fishing package | $345.00 |\n| surfing adventure package | $229.00 |" } ] }, { "id": "6243", "image": "6243.png", "conversations": [ { "from": "human", "question": "Each bucket has 10 blue blocks. How many blue blocks are in 5 buckets?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 50 blue blocks in 5 buckets.", "answer": "50", "table": "| Number of buckets | Number of blue blocks |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | 40 |\n| 5 | ? |" } ] }, { "id": "6256", "image": "6256.png", "conversations": [ { "from": "human", "question": "Tina has $1,913.00. How much money will Tina have left if she buys a tuba and an oboe?\n" }, { "from": "gpt", "solution": "Find the total cost of a tuba and an oboe.\n\n$910.00 + $237.00 = $1,147.00\n\nNow subtract the total cost from the starting amount.\n\n$1,913.00 - $1,147.00 = $766.00\n\nTina will have $766.00 left.", "answer": "766", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| cello | $255.00 |\n| oboe | $237.00 |\n| tuba | $910.00 |\n| clarinet | $173.00 |" } ] }, { "id": "6257", "image": "6257.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does the koala feeding begin?\n" }, { "from": "gpt", "solution": "Find the koala feeding on the schedule. Find the beginning time for the koala feeding.\n\nkoala feeding: 2:10 P. M.", "answer": "2:10 P.M.", "table": "**Zoo schedule**\n\n| Event | Begin | End |\n| --- | --- | --- |\n| giraffe feeding | 10:00 A.M. | 11:05 A.M. |\n| bear lecture | 11:40 A.M. | 12:30 P.M. |\n| insect show | 1:10 P.M. | 1:40 P.M. |\n| koala feeding | 2:10 P.M. | 2:40 P.M. |\n| reptile show | 3:10 P.M. | 4:00 P.M. |\n| tiger lecture | 3:30 P.M. | 4:50 P.M. |\n| bird show | 5:40 P.M. | 6:25 P.M. |" } ] }, { "id": "6262", "image": "6262.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{15 - 8}{7 - 6}\n = \\frac{7}{1}\n = 7\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{17 - 8}{8 - 6}\n = \\frac{9}{2}\n = 4\\frac{1}{2}\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 6 | 8 |\n| 7 | 15 |\n| 8 | 17 |" } ] }, { "id": "6271", "image": "6271.png", "conversations": [ { "from": "human", "question": "In science class, Alana is measuring the temperature of different chemical mixtures. The temperatures of two mixtures are shown in the table. Which mixture's temperature is closest to zero?\n" }, { "from": "gpt", "solution": "A positive number means the temperature is above zero. A negative number means the temperature is below zero.\nTo find the temperature closest to zero, use absolute value. The absolute value of a temperature tells you how far it is from zero.\nBromine mixture: |-4| = 4\nAcetone mixture: |5| = 5\nThe temperature of the bromine mixture is closest to zero. It is only 4 degrees below zero.", "answer": "bromine mixture", "table": "| Mixture | Temperature (°C) |\n| --- | --- |\n| Bromine mixture | -4 |\n| Acetone mixture | 5 |" } ] }, { "id": "6272", "image": "6272.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does the water balloon toss begin?\n" }, { "from": "gpt", "solution": "Find the water balloon toss on the schedule. Find the beginning time for the water balloon toss.\n\nwater balloon toss: 1:45 P. M.", "answer": "1:45 P.M.", "table": "**Camp schedule**\n\n| Activity | Begin | End |\n| --- | --- | --- |\n| swimming class | 6:25 A.M. | 7:05 A.M. |\n| rowing class | 7:15 A.M. | 8:05 A.M. |\n| canoeing class | 8:10 A.M. | 8:45 A.M. |\n| softball game | 8:50 A.M. | 9:40 A.M. |\n| hiking trip | 9:50 A.M. | 10:20 A.M. |\n| arts and crafts | 10:25 A.M. | 12:00 P.M. |\n| horseback riding class | 12:10 P.M. | 12:55 P.M. |\n| quiet time | 1:05 P.M. | 1:35 P.M. |\n| water balloon toss | 1:45 P.M. | 3:00 P.M. |" } ] }, { "id": "6274", "image": "6274.png", "conversations": [ { "from": "human", "question": "How much money does Rosanne need to buy 4 pillows?\n" }, { "from": "gpt", "solution": "Find the total cost of 4 pillows by multiplying 4 times the price of a pillow.\n\n$14.72 × 4 = $58.88\n\nRosanne needs $58.88.", "answer": "58.88", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| navy blue bath mat | $13.74 |\n| yellow bath towel | $10.16 |\n| fleece blanket | $19.91 |\n| pillow | $14.72 |\n| quilt | $21.26 |" } ] }, { "id": "6280", "image": "6280.png", "conversations": [ { "from": "human", "question": "A county agency recorded the money donated to several charitable causes over time. How much money was raised for animals in May?\n" }, { "from": "gpt", "solution": "First, find the row for animals. Then find the number in the May column.\n\nThis number is $13.00. $13 was raised for animals in May.", "answer": "13", "table": "**Donations received**\n\n| Cause | May | June |\n| --- | --- | --- |\n| Medical research | $16 | $8 |\n| Animals | $13 | $8 |\n| Hunger | $12 | $10 |\n| Parks | $8 | $10 |" } ] }, { "id": "6281", "image": "6281.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $1,500, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $1,500, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $980 | 17,300 | 4,600 |\n| $1,110 | 13,600 | 7,200 |\n| $1,240 | 9,900 | 9,800 |\n| $1,370 | 6,200 | 12,400 |\n| $1,500 | 2,500 | 15,000 |" } ] }, { "id": "6294", "image": "6294.png", "conversations": [ { "from": "human", "question": "Look at Virginia's pay stub. Virginia lives in a state that has state income tax. How much did Virginia make after taxes?\n" }, { "from": "gpt", "solution": "Find how much Virginia made after taxes. Find the total payroll tax, then subtract it from the total earnings.\nTo find the total payroll tax, add the federal income tax, state income tax, and other taxes.\nThe total earnings are $1,300.00. The total payroll tax is $325.41. Subtract to find the difference.\n$1,300.00 - $325.41 = $974.59\nVirginia made $974.59 after taxes.", "answer": "974.59", "table": "| Employee | Pay period | |\n| --- | --- | --- |\n| Virginia Long | June | |\n| Total earnings | | $1,300.00 |\n| Federal income tax | $140.61 | |\n| State income tax | $85.80 | |\n| Other taxes | $99.00 | |\n| Total taxes | | ? |\n| Pay after taxes | | ? |" } ] }, { "id": "6296", "image": "6296.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{7 - 9}{9 - 8}\n = \\frac{-2}{1}\n = -2\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{5 - 7}{10 - 9}\n = \\frac{-2}{1}\n = -2\nThe two rates of change are the same.\n2.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 8 | 9 |\n| 9 | 7 |\n| 10 | 5 |" } ] }, { "id": "6297", "image": "6297.png", "conversations": [ { "from": "human", "question": "Look at this table. Is this relation a function?\n" }, { "from": "gpt", "solution": "Look at the x-values in the table.\n\nEach of the x-values is paired with only one y-value, so the relation is a function.", "answer": "yes", "table": "| x | y |\n| --- | --- |\n| 6 | 10 |\n| 9 | 0 |\n| 14 | 13 |\n| 5 | 6 |" } ] }, { "id": "6310", "image": "6310.png", "conversations": [ { "from": "human", "question": "A philanthropic organization compared the amounts of money that its members donated to certain causes. How much more money did Anne donate to clean water than Bridget?\n" }, { "from": "gpt", "solution": "Find the Clean water column. Find the numbers in this column for Anne and Bridget.\n\nAnne: $19.00\nBridget: $16.00\n\nNow subtract:\n\n$19.00 − $16.00 = $3.00\n\nAnne donated $3 more to clean water than Bridget.", "answer": "3", "table": "**Donations**\n\n| Person | Clean water | Animal rights |\n| --- | --- | --- |\n| Isaiah | $12 | $5 |\n| Liam | $4 | $10 |\n| Bridget | $16 | $9 |\n| Anne | $19 | $18 |" } ] }, { "id": "6314", "image": "6314.png", "conversations": [ { "from": "human", "question": "Emmy tracked how many laps she ran in the past 5 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n10, 5, 5, 9, 5\n\nFirst, find the greatest number. The greatest number is 10.\n\nNext, find the least number. The least number is 5.\n\nSubtract the least number from the greatest number:\n\n10 − 5 = 5\n\nThe range is 5.", "answer": "5", "table": "**Laps ran**\n\n| Day | Number of laps |\n| --- | --- |\n| Wednesday | 10 |\n| Thursday | 5 |\n| Friday | 5 |\n| Saturday | 9 |\n| Sunday | 5 |" } ] }, { "id": "6316", "image": "6316.png", "conversations": [ { "from": "human", "question": "How much money does Darnel need to buy a sheet of bright yellow paper and a piece of elegant stationery?\n" }, { "from": "gpt", "solution": "Add the price of a sheet of bright yellow paper and the price of a piece of elegant stationery:\n\n$0.11 + $0.63 = $0.74\n\nDarnel needs $0.74.", "answer": "0.74", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pale purple note card | $0.16 |\n| sheet of bright yellow paper | $0.11 |\n| piece of elegant stationery | $0.63 |\n| piece of striped paper | $0.36 |" } ] }, { "id": "6323", "image": "6323.png", "conversations": [ { "from": "human", "question": "A car dealership tracked the number of cars sold each month. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n71, 63, 72, 71, 74, 70, 71\n\nFirst, find the greatest number. The greatest number is 74.\n\nNext, find the least number. The least number is 63.\n\nSubtract the least number from the greatest number:\n\n74 − 63 = 11\n\nThe range is 11.", "answer": "11", "table": "**Cars sold**\n\n| Month | Number of cars |\n| --- | --- |\n| September | 71 |\n| October | 63 |\n| November | 72 |\n| December | 71 |\n| January | 74 |\n| February | 70 |\n| March | 71 |" } ] }, { "id": "6324", "image": "6324.png", "conversations": [ { "from": "human", "question": "In science class, Ellie is learning about places with extreme temperatures. She learns that the highest temperature ever recorded was in Death Valley, California. She also learns that the lowest temperature ever recorded was in Vostok Station, Antarctica. The record-setting temperatures of the two locations are shown in the table. Which location's temperature was further from zero?\n" }, { "from": "gpt", "solution": "A positive number means the temperature was above zero. A negative number means the temperature was below zero.\nTo find which temperature was further from zero, use absolute value. Absolute value tells you how far a temperature is from zero.\nDeath Valley: |134| = 134\nVostok Station: |-128| = 128\nThe temperature of Death Valley was further from zero. It was 134 degrees above zero.", "answer": "Death Valley", "table": "| Location | Temperature (°F) |\n| --- | --- |\n| Death Valley | 134 |\n| Vostok Station | -128 |" } ] }, { "id": "6330", "image": "6330.png", "conversations": [ { "from": "human", "question": "While writing a paper on making decisions in groups, Owen researched the size of a number of committees. How many committees have fewer than 70 members?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 2, 3, 4, 5, and 6.\n\nYou counted 5 leaves, which are blue in the stem-and-leaf plot above. 5 committees have fewer than 70 members.", "answer": "5", "table": "**Committee sizes (number of members)**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 1 |\n| 3 | 3, 4 |\n| 4 | 7 |\n| 5 | 8 |\n| 6 | |\n| 7 | |\n| 8 | 2 |" } ] }, { "id": "6332", "image": "6332.png", "conversations": [ { "from": "human", "question": "The county released data about how many schools there are in each town. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n3, 1, 1, 1, 10, 10, 3, 1\n\nFirst, arrange the numbers from least to greatest:\n\n1, 1, 1, 1, 3, 3, 10, 10\n\nNow count how many times each number appears.\n\n1 appears 4 times.\n3 appears 2 times.\n10 appears 2 times.\n\nThe number that appears most often is 1.\n\nThe mode is 1.", "answer": "1", "table": "**Schools in each town**\n\n| Town | Number of schools |\n| --- | --- |\n| Springfield | 3 |\n| Riverside | 1 |\n| Marion | 1 |\n| Richmond | 1 |\n| Ashland | 10 |\n| Watertown | 10 |\n| Mayfield | 3 |\n| Greenwood | 1 |" } ] }, { "id": "6340", "image": "6340.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $670, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $670, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $670 | 17,500 | 8,000 |\n| $870 | 13,800 | 11,000 |\n| $1,070 | 10,100 | 14,000 |\n| $1,270 | 6,400 | 17,000 |\n| $1,470 | 2,700 | 20,000 |" } ] }, { "id": "6343", "image": "6343.png", "conversations": [ { "from": "human", "question": "How much money does Jane need to buy a night's stay at Crescent Motel and a night's stay at White Oak Motel?\n" }, { "from": "gpt", "solution": "Add the price of a night's stay at Crescent Motel and the price of a night's stay at White Oak Motel:\n\n$347 + $244 = $591\n\nJane needs $591.", "answer": "591", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| night's stay at White Oak Motel | $244 |\n| night's stay at Summit Hotel and Spa | $242 |\n| night's stay at Crescent Motel | $347 |\n| night's stay at Lakeview Hotel | $528 |" } ] }, { "id": "6345", "image": "6345.png", "conversations": [ { "from": "human", "question": "The members of the track team compared how many miles they ran last week. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n5, 2, 7, 6, 7, 6, 6\n\nFirst, arrange the numbers from least to greatest:\n\n2, 5, 6, 6, 6, 7, 7\n\nNow find the number in the middle.\n\n2, 5, 6, 6, 6, 7, 7\n\nThe number in the middle is 6.\n\nThe median is 6.", "answer": "6", "table": "**Running miles**\n\n| Name | Miles |\n| --- | --- |\n| Dirk | 5 |\n| Brennan | 2 |\n| Harold | 7 |\n| Lillian | 6 |\n| Pamela | 7 |\n| Kevin | 6 |\n| Maureen | 6 |" } ] }, { "id": "6347", "image": "6347.png", "conversations": [ { "from": "human", "question": "Rafi recalled how many minutes he had spent at theater rehearsal in the past 7 days. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n34, 34, 34, 28, 30, 30, 28\n\nFirst, arrange the numbers from least to greatest:\n\n28, 28, 30, 30, 34, 34, 34\n\nNow count how many times each number appears.\n\n28 appears 2 times.\n30 appears 2 times.\n34 appears 3 times.\n\nThe number that appears most often is 34.\n\nThe mode is 34.", "answer": "34", "table": "**Minutes spent rehearsing**\n\n| Day | Minutes |\n| --- | --- |\n| Friday | 34 |\n| Saturday | 34 |\n| Sunday | 34 |\n| Monday | 28 |\n| Tuesday | 30 |\n| Wednesday | 30 |\n| Thursday | 28 |" } ] }, { "id": "6357", "image": "6357.png", "conversations": [ { "from": "human", "question": "Cindy looked at her calendar to figure out how much time she spent babysitting each month. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n3, 10, 3, 8, 2, 8, 4, 5\n\nFirst, find the greatest number. The greatest number is 10.\n\nNext, find the least number. The least number is 2.\n\nSubtract the least number from the greatest number:\n\n10 − 2 = 8\n\nThe range is 8.", "answer": "8", "table": "**Hours of babysitting**\n\n| Month | Hours |\n| --- | --- |\n| July | 3 |\n| August | 10 |\n| September | 3 |\n| October | 8 |\n| November | 2 |\n| December | 8 |\n| January | 4 |\n| February | 5 |" } ] }, { "id": "6358", "image": "6358.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $415, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $415, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $295 | 18,600 | 9,100 |\n| $335 | 15,500 | 11,900 |\n| $375 | 12,400 | 14,700 |\n| $415 | 9,300 | 17,500 |\n| $455 | 6,200 | 20,300 |" } ] }, { "id": "6361", "image": "6361.png", "conversations": [ { "from": "human", "question": "Ronald went to the store and bought 4 pounds of bran muffin mix and 2 pounds of cranberry muffin mix. How much did he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the bran muffin mix. Multiply:\n\n$2 × 4 = $8\n\nFind the cost of the cranberry muffin mix. Multiply:\n\n$1.06 × 2 = $2.12\n\nNow find the total cost by adding:\n\n$8 + $2.12 = $10.12\n\nHe spent $10.12.", "answer": "10.12", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| cranberry muffin mix | $1.06 per lb |\n| bran muffin mix | $2.00 per lb |\n| blueberry muffin mix | $1.31 per lb |\n| chocolate chip muffin mix | $1.40 per lb |\n| pumpkin muffin mix | $1.48 per lb |" } ] }, { "id": "6362", "image": "6362.png", "conversations": [ { "from": "human", "question": "Ellen loves to wear socks with crazy patterns. She finds a great deal for these kinds of socks at her favorite store, Rock Those Socks. There is a proportional relationship between the number of pairs of socks that Ellen buys, x, and the total cost (in dollars), y. What is the constant of proportionality? Write your answer as a whole number or decimal.\n" }, { "from": "gpt", "solution": "To find the constant of proportionality, calculate the ratio of y to x.\n8 / 4 = 2\n10 / 5 = 2\n18 / 9 = 2\n20 / 10 = 2\nThe ratio for each pair of x- and y-values is 2. So, the variables have a proportional relationship.\nSo, the constant of proportionality is 2 dollars per pair of socks.", "answer": "2", "table": "**x (pairs of socks) y (dollars)**\n\n| Column 1 | Column 2 |\n| --- | --- |\n| 4 | $8 |\n| 5 | $10 |\n| 9 | $18 |\n| 10 | $20 |" } ] }, { "id": "6364", "image": "6364.png", "conversations": [ { "from": "human", "question": "The Westford Middle School fundraising committee found out how many sweatshirts students already had, in order to decide whether to sell sweatshirts for a fundraiser. How many students have at least 2 sweatshirts?\n" }, { "from": "gpt", "solution": "Find the rows for 2, 3, 4, 5, and 6 sweatshirts. Add the frequencies for these rows.\n\nAdd:\n\n8 + 15 + 20 + 11 + 0 = 54\n\n54 students have at least 2 sweatshirts.", "answer": "54", "table": "**Sweatshirts**\n\n| Number of sweatshirts | Frequency |\n| --- | --- |\n| 0 | 10 |\n| 1 | 9 |\n| 2 | 8 |\n| 3 | 15 |\n| 4 | 20 |\n| 5 | 11 |\n| 6 | 0 |" } ] }, { "id": "6372", "image": "6372.png", "conversations": [ { "from": "human", "question": "Turner has $3,536.00. Does he have enough to buy a parrot and an alpaca?\n" }, { "from": "gpt", "solution": "Add the price of a parrot and the price of an alpaca:\n\n$1,605.00 + $1,827.00 = $3,432.00\n\n$3,432.00 is less than $3,536.00. Turner does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| python | $4,379.00 |\n| parrot | $1,605.00 |\n| macaw | $2,329.00 |\n| cockatiel | $1,040.00 |\n| alpaca | $1,827.00 |" } ] }, { "id": "6374", "image": "6374.png", "conversations": [ { "from": "human", "question": "How much money does Ruth need to buy a smooth piece of sea glass and a piece of polished granite?\n" }, { "from": "gpt", "solution": "Add the price of a smooth piece of sea glass and the price of a piece of polished granite:\n\n$0.97 + $0.24 = $1.21\n\nRuth needs $1.21.", "answer": "1.21", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| orange agate | $0.48 |\n| piece of polished granite | $0.24 |\n| piece of black obsidian | $0.78 |\n| piece of green slate | $0.16 |\n| smooth piece of sea glass | $0.97 |\n| piece of fool's gold | $0.88 |" } ] }, { "id": "6375", "image": "6375.png", "conversations": [ { "from": "human", "question": "How much money does Vijay need to buy a piano key chain and a pumpkin key chain?\n" }, { "from": "gpt", "solution": "Add the price of a piano key chain and the price of a pumpkin key chain:\n\n$0.84 + $0.98 = $1.82\n\nVijay needs $1.82.", "answer": "1.82", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| rainbow key chain | $0.75 |\n| pumpkin key chain | $0.98 |\n| piano key chain | $0.84 |\n| puppy key chain | $0.94 |\n| globe key chain | $0.80 |\n| horse key chain | $0.68 |" } ] }, { "id": "6386", "image": "6386.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Jayla got on the bus at the mall at 10.30 A.M. What time will she get to the playground?\n" }, { "from": "gpt", "solution": "Find 10:30 A. M. in the row for the mall. That column shows the schedule for the bus that Jayla is on.\n\nLook down the column until you find the row for the playground.\n\nJayla will get to the playground at 1:15 P. M.", "answer": "1:15 P.M.", "table": "**Bus schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 | Column 5 |\n| --- | --- | --- | --- | --- |\n| the mall | 9:45 A.M. | 10:00 A.M. | 10:30 A.M. | 11:00 A.M. |\n| the post office | 10:45 A.M. | 11:00 A.M. | 11:30 A.M. | 12:00 P.M. |\n| the school | 11:45 A.M. | 12:00 P.M. | 12:30 P.M. | 1:00 P.M. |\n| the playground | 12:30 P.M. | 12:45 P.M. | 1:15 P.M. | 1:45 P.M. |\n| the library | 1:00 P.M. | 1:15 P.M. | 1:45 P.M. | 2:15 P.M. |" } ] }, { "id": "6391", "image": "6391.png", "conversations": [ { "from": "human", "question": "In the first episode of a reality show, contestants had to spin two wheels of fate. Spinning the first wheel determined the remote location where contestants would reside for the duration of the season. Spinning the second wheel determined which \"bonus survival tool\" they would be allowed to bring, along with a few other necessary items. What is the probability that a randomly selected participant spun the first wheel and landed on desert and spun the second wheel and landed on matches? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the participant spun the first wheel and landed on desert\" and B be the event \"the participant spun the second wheel and landed on matches\".\nTo find the probability that a participant spun the first wheel and landed on desert and spun the second wheel and landed on matches, first identify the sample space and the event.\nThe outcomes in the sample space are the different participants. Each participant is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the participant spun the first wheel and landed on desert and spun the second wheel and landed on matches\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the participant spun the first wheel and landed on desert and spun the second wheel and landed on matches\", so look at the table to see how many participants spun the first wheel and landed on desert and spun the second wheel and landed on matches.\nThe number of participants who spun the first wheel and landed on desert and spun the second wheel and landed on matches is 1.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of participants.\n6 + 4 + 1 + 5 = 16\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{1}{16}\nThe probability that a participant spun the first wheel and landed on desert and spun the second wheel and landed on matches is \\frac{1}{16}.", "answer": "1/16", "table": "| | A tent | Matches |\n| --- | --- | --- |\n| Desert | 6 | 1 |\n| Rainforest | 4 | 5 |" } ] }, { "id": "6395", "image": "6395.png", "conversations": [ { "from": "human", "question": "A hardware store monitored how many hammers it sold in the past 5 days. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 6, 9, 3, 6\n\nFirst, count how many numbers are in the group.\n\nThere are 5 numbers.\n\nNow add all the numbers together:\n\n6 + 6 + 9 + 3 + 6 = 30\n\nNow divide the sum by the number of numbers:\n\n30 ÷ 5 = 6\n\nThe mean is 6.", "answer": "6", "table": "**Hammers sold**\n\n| Day | Number of hammers |\n| --- | --- |\n| Sunday | 6 |\n| Monday | 6 |\n| Tuesday | 9 |\n| Wednesday | 3 |\n| Thursday | 6 |" } ] }, { "id": "6409", "image": "6409.png", "conversations": [ { "from": "human", "question": "The gym teacher wrote down how many tennis balls his students hit in half an hour. Which student hit the most tennis balls?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 89.\n\nNow find the corresponding name. Fred corresponds to 89.", "answer": "Fred", "table": "**Hitting tennis balls**\n\n| Name | Number of tennis balls |\n| --- | --- |\n| Richard | 87 |\n| Fred | 89 |\n| Tess | 86 |\n| Jordan | 82 |" } ] }, { "id": "6410", "image": "6410.png", "conversations": [ { "from": "human", "question": "A vendor who sold bread at farmers' markets counted the number of leftover loaves at the end of each day. According to the table, what was the rate of change between Friday and Saturday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{25 loaves - 48 loaves}{1 day}\n = \\frac{-23 loaves}{1 day}\n = -23 loaves per day\nThe rate of change between Friday and Saturday was - 23 loaves per day.", "answer": "-23", "table": "**Loaves of leftover bread**\n\n| Day | Leftover loaves |\n| --- | --- |\n| Tuesday | 27 |\n| Wednesday | 36 |\n| Thursday | 25 |\n| Friday | 48 |\n| Saturday | 25 |" } ] }, { "id": "6415", "image": "6415.png", "conversations": [ { "from": "human", "question": "A waitress kept track of how many hours she worked each day. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 10, 6, 9, 10, 10, 6\n\nFirst, arrange the numbers from least to greatest:\n\n6, 6, 9, 9, 10, 10, 10\n\nNow count how many times each number appears.\n\n6 appears 2 times.\n9 appears 2 times.\n10 appears 3 times.\n\nThe number that appears most often is 10.\n\nThe mode is 10.", "answer": "10", "table": "**Hours worked**\n\n| Day | Hours |\n| --- | --- |\n| Thursday | 9 |\n| Friday | 10 |\n| Saturday | 6 |\n| Sunday | 9 |\n| Monday | 10 |\n| Tuesday | 10 |\n| Wednesday | 6 |" } ] }, { "id": "6421", "image": "6421.png", "conversations": [ { "from": "human", "question": "The manager of a party supply store researched how many balloons it sold in the past 6 days. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n8, 10, 7, 8, 8, 7\n\nFirst, arrange the numbers from least to greatest:\n\n7, 7, 8, 8, 8, 10\n\nNow count how many times each number appears.\n\n7 appears 2 times.\n8 appears 3 times.\n10 appears 1 time.\n\nThe number that appears most often is 8.\n\nThe mode is 8.", "answer": "8", "table": "**Balloons sold**\n\n| Day | Number of balloons |\n| --- | --- |\n| Friday | 8 |\n| Saturday | 10 |\n| Sunday | 7 |\n| Monday | 8 |\n| Tuesday | 8 |\n| Wednesday | 7 |" } ] }, { "id": "6425", "image": "6425.png", "conversations": [ { "from": "human", "question": "As part of a project for health class, Seth surveyed local delis about the kinds of sandwiches sold. Which shop sold the fewest roast beef sandwiches?\n" }, { "from": "gpt", "solution": "Look at the numbers in the Roast beef sandwiches column. Find the least number in this column.\n\nThe least number is 1, which is in the Sam's Sandwich Shop row. Sam's Sandwich Shop sold the fewest roast beef sandwiches.", "answer": "Sam's Sandwich Shop", "table": "**Sandwich sales**\n\n| Shop | Tuna sandwiches | Roast beef sandwiches |\n| --- | --- | --- |\n| Sandwich City | 4 | 12 |\n| Express Sandwiches | 6 | 7 |\n| Alexandra's Deli | 17 | 4 |\n| City Cafe | 10 | 9 |\n| Sam's Sandwich Shop | 19 | 1 |" } ] }, { "id": "6428", "image": "6428.png", "conversations": [ { "from": "human", "question": "Emmett went to the store and bought 1.4 kilograms of marmalade. How much did he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the marmalade. Multiply the price per kilogram by the number of kilograms.\n$2 × 1.4 = $2.80\nHe spent $2.80.", "answer": "2.80", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| blackberry jam | $2/kilogram |\n| marmalade | $2/kilogram |\n| apple butter | $3/kilogram |\n| boysenberry jam | $3/kilogram |" } ] }, { "id": "6433", "image": "6433.png", "conversations": [ { "from": "human", "question": "An administrator at the Department of Motor Vehicles (DMV) tracked the average wait time from month to month. According to the table, what was the rate of change between April and May?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{46 minutes - 38 minutes}{1 month}\n = \\frac{8 minutes}{1 month}\n = 8 minutes per month\nThe rate of change between April and May was 8 minutes per month.", "answer": "8", "table": "**Average waiting time at the DMV**\n\n| Month | Waiting time (minutes) |\n| --- | --- |\n| April | 38 |\n| May | 46 |\n| June | 42 |\n| July | 39 |\n| August | 43 |" } ] }, { "id": "6441", "image": "6441.png", "conversations": [ { "from": "human", "question": "Laura looked at her calendar to see how many hours she had worked in the past 5 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n10, 6, 10, 9, 4\n\nFirst, arrange the numbers from least to greatest:\n\n4, 6, 9, 10, 10\n\nNow find the number in the middle.\n\n4, 6, 9, 10, 10\n\nThe number in the middle is 9.\n\nThe median is 9.", "answer": "9", "table": "**Hours worked**\n\n| Day | Hours |\n| --- | --- |\n| Wednesday | 10 |\n| Thursday | 6 |\n| Friday | 10 |\n| Saturday | 9 |\n| Sunday | 4 |" } ] }, { "id": "6444", "image": "6444.png", "conversations": [ { "from": "human", "question": "Gary graphed the daily low temperature for 6 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n18, 18, 5, 12, 19, 18\n\nFirst, find the greatest number. The greatest number is 19.\n\nNext, find the least number. The least number is 5.\n\nSubtract the least number from the greatest number:\n\n19 − 5 = 14\n\nThe range is 14.", "answer": "14", "table": "**Daily low temperature**\n\n| Day | Temperature (°C) |\n| --- | --- |\n| Sunday | 18 |\n| Monday | 18 |\n| Tuesday | 5 |\n| Wednesday | 12 |\n| Thursday | 19 |\n| Friday | 18 |" } ] }, { "id": "6449", "image": "6449.png", "conversations": [ { "from": "human", "question": "At a science museum, visitors can compete to see who has a faster reaction time. Competitors watch a red screen, and the moment they see it turn from red to green, they push a button. The machine records their reaction times and also asks competitors to report their gender. What is the probability that a randomly selected competitor was male and reacted in 0.3 to 0.7 seconds? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the competitor was male\" and B be the event \"the competitor reacted in 0.3 to 0.7 seconds\".\nTo find the probability that a competitor was male and reacted in 0.3 to 0.7 seconds, first identify the sample space and the event.\nThe outcomes in the sample space are the different competitors. Each competitor is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the competitor was male and reacted in 0.3 to 0.7 seconds\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the competitor was male and reacted in 0.3 to 0.7 seconds\", so look at the table to see how many competitors were male and reacted in 0.3 to 0.7 seconds.\nThe number of competitors who were male and reacted in 0.3 to 0.7 seconds is 9.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of competitors.\n2 + 2 + 9 + 7 = 20\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{9}{20}\nThe probability that a competitor was male and reacted in 0.3 to 0.7 seconds is \\frac{9}{20}.", "answer": "9/20", "table": "| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| | Less than 0.3 seconds | 0.3 to 0.7 seconds |\n| Male | 2 | 9 |\n| Female | 2 | 7 |" } ] }, { "id": "6451", "image": "6451.png", "conversations": [ { "from": "human", "question": "Eric tracked the attendance at the school play. How many people in total attended the play on Friday and Saturday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nFriday: 350\nSaturday: 485\n\nNow add: 350 + 485 = 835.\n\n835 people attended the play on Friday and Saturday.", "answer": "835", "table": "**Tickets sold**\n\n| Day | Number of tickets |\n| --- | --- |\n| Thursday | 219 |\n| Friday | 350 |\n| Saturday | 485 |" } ] }, { "id": "6459", "image": "6459.png", "conversations": [ { "from": "human", "question": "At Rockport Consulting, the head of human resources examined how the number of employees with health care benefits varied in response to policy changes. According to the table, what was the rate of change between 2011 and 2012?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{32 employees - 35 employees}{2012 - 2011}\n = \\frac{32 employees - 35 employees}{1 year}\n = \\frac{-3 employees}{1 year}\n = -3 employees per year\nThe rate of change between 2011 and 2012 was - 3 employees per year.", "answer": "-3", "table": "**Employees with health care benefits**\n\n| Year | Employees |\n| --- | --- |\n| 2009 | 29 |\n| 2010 | 33 |\n| 2011 | 35 |\n| 2012 | 32 |\n| 2013 | 29 |" } ] }, { "id": "6460", "image": "6460.png", "conversations": [ { "from": "human", "question": "How much would it cost to buy 4+3/4 pounds of tangerines?\n" }, { "from": "gpt", "solution": "Find the cost of the tangerines. Multiply the price per pound by the number of pounds.\n$2 × 4\\frac{3}{4} = $2 × 4.75 = $9.50\nIt would cost $9.50.", "answer": "9.50", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| tangerines | $2 per lb |\n| lemons | $1 per lb |\n| limes | $2 per lb |\n| grapefruits | $2 per lb |" } ] }, { "id": "6464", "image": "6464.png", "conversations": [ { "from": "human", "question": "Eva jotted down how many minutes she spent practicing golf in the past 4 days. On which day did Eva practice the most?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 184.\n\nNow find the corresponding day. Sunday corresponds to 184.", "answer": "Sunday", "table": "**Minutes spent practicing**\n\n| Day | Minutes |\n| --- | --- |\n| Thursday | 148 |\n| Friday | 119 |\n| Saturday | 182 |\n| Sunday | 184 |" } ] }, { "id": "6467", "image": "6467.png", "conversations": [ { "from": "human", "question": "A volunteer for the local running club counted the number of participants at each race. How many races had at least 40 participants but fewer than 60 participants?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 4 and 5.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 races had at least 40 participants but fewer than 60 participants.", "answer": "4", "table": "**Participants per race**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 7, 8, 8 |\n| 4 | 7, 7, 9 |\n| 5 | 7 |\n| 6 | 2, 6 |\n| 7 | 1, 3, 3, 4, 7, 7, 7 |\n| 8 | 0, 4, 4, 5, 6, 7 |\n| 9 | 0 |" } ] }, { "id": "6476", "image": "6476.png", "conversations": [ { "from": "human", "question": "Each bracelet has 2 garnets. How many garnets are on 6 bracelets?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 12 garnets on 6 bracelets.", "answer": "12", "table": "| Number of bracelets | Number of garnets |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | 6 |\n| 4 | 8 |\n| 5 | 10 |\n| 6 | ? |" } ] }, { "id": "6480", "image": "6480.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{10 - 17}{8 - 7}\n = \\frac{-7}{1}\n = -7\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{5 - 17}{9 - 7}\n = \\frac{-12}{2}\n = -6\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 7 | 17 |\n| 8 | 10 |\n| 9 | 5 |" } ] }, { "id": "6497", "image": "6497.png", "conversations": [ { "from": "human", "question": "Christine, a doctor's office receptionist, tracked the average waiting time at the office each month. According to the table, what was the rate of change between May and June?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{17 minutes - 23 minutes}{1 month}\n = \\frac{-6 minutes}{1 month}\n = -6 minutes per month\nThe rate of change between May and June was - 6 minutes per month.", "answer": "-6", "table": "**Average waiting time at a doctor's office**\n\n| Month | Waiting time (minutes) |\n| --- | --- |\n| May | 23 |\n| June | 17 |\n| July | 12 |\n| August | 8 |\n| September | 24 |" } ] }, { "id": "6507", "image": "6507.png", "conversations": [ { "from": "human", "question": "Oscar graphed the daily low temperature for 5 days. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 7, 10, 10, 10\n\nFirst, arrange the numbers from least to greatest:\n\n7, 7, 10, 10, 10\n\nNow count how many times each number appears.\n\n7 appears 2 times.\n10 appears 3 times.\n\nThe number that appears most often is 10.\n\nThe mode is 10.", "answer": "10", "table": "**Daily low temperature**\n\n| Day | Temperature (°C) |\n| --- | --- |\n| Tuesday | 7 |\n| Wednesday | 7 |\n| Thursday | 10 |\n| Friday | 10 |\n| Saturday | 10 |" } ] }, { "id": "6514", "image": "6514.png", "conversations": [ { "from": "human", "question": "Each shopping bag has 10 sweaters. How many sweaters are in 4 shopping bags?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 40 sweaters in 4 shopping bags.", "answer": "40", "table": "| Number of shopping bags | Number of sweaters |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | ? |" } ] }, { "id": "6515", "image": "6515.png", "conversations": [ { "from": "human", "question": "How much money does Sharon need to buy a piece of smoky quartz and a piece of polished granite?\n" }, { "from": "gpt", "solution": "Add the price of a piece of smoky quartz and the price of a piece of polished granite:\n\n$0.05 + $0.09 = $0.14\n\nSharon needs $0.14.", "answer": "0.14", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| piece of red sandstone | $0.09 |\n| piece of black obsidian | $0.09 |\n| piece of copper | $0.06 |\n| piece of smoky quartz | $0.05 |\n| piece of polished granite | $0.09 |\n| orange agate | $0.03 |" } ] }, { "id": "6522", "image": "6522.png", "conversations": [ { "from": "human", "question": "Mrs. Herrera told students how many rounds to expect in the spelling bee based on previous years. According to the table, what was the rate of change between 2015 and 2016?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{16 rounds - 9 rounds}{2016 - 2015}\n = \\frac{16 rounds - 9 rounds}{1 year}\n = \\frac{7 rounds}{1 year}\n = 7 rounds per year\nThe rate of change between 2015 and 2016 was 7 rounds per year.", "answer": "7", "table": "**Rounds in the spelling bee**\n\n| Year | Rounds |\n| --- | --- |\n| 2012 | 12 |\n| 2013 | 14 |\n| 2014 | 6 |\n| 2015 | 9 |\n| 2016 | 16 |" } ] }, { "id": "6524", "image": "6524.png", "conversations": [ { "from": "human", "question": "The elementary school art teacher wrote down how many flower pots each child painted last week. How many children painted fewer than 3 flower pots?\n" }, { "from": "gpt", "solution": "Find the rows for 0, 1, and 2 flower pots. Add the frequencies for these rows.\n\nAdd:\n\n15 + 12 + 9 = 36\n\n36 children painted fewer than 3 flower pots.", "answer": "36", "table": "**Painting flower pots**\n\n| Flower pots painted | Frequency |\n| --- | --- |\n| 0 | 15 |\n| 1 | 12 |\n| 2 | 9 |\n| 3 | 10 |\n| 4 | 20 |" } ] }, { "id": "6529", "image": "6529.png", "conversations": [ { "from": "human", "question": "A technical support line tracked how many calls it received each day. On which day did the support line receive the fewest calls?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 52.\n\nNow find the corresponding day. Sunday corresponds to 52.", "answer": "Sunday", "table": "**Phone calls received**\n\n| Day | Number of calls |\n| --- | --- |\n| Sunday | 52 |\n| Monday | 58 |\n| Tuesday | 59 |\n| Wednesday | 57 |" } ] }, { "id": "6532", "image": "6532.png", "conversations": [ { "from": "human", "question": "Each bush has 5 flowers. How many flowers are on 5 bushes?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 25 flowers on 5 bushes.", "answer": "25", "table": "| Number of bushes | Number of flowers |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | 20 |\n| 5 | ? |" } ] }, { "id": "6536", "image": "6536.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does the boat arrive at Surfing Beach?\n" }, { "from": "gpt", "solution": "Find Surfing Beach on the schedule. Find the arrival time for Surfing Beach.\n\nSurfing Beach: 5:40 P. M.", "answer": "5:40 P.M.", "table": "**Tour boat schedule**\n\n| Location | Arrive | Depart |\n| --- | --- | --- |\n| Lobster Pier | 9:15 A.M. | 9:40 A.M. |\n| Ocean City | 10:50 A.M. | 11:20 A.M. |\n| Rocky Cliffs | 11:50 A.M. | 12:00 P.M. |\n| The Boardwalk | 12:30 P.M. | 12:45 P.M. |\n| Palm Tree Island | 2:00 P.M. | 2:20 P.M. |\n| Fisherman's Cove | 3:50 P.M. | 4:35 P.M. |\n| Surfing Beach | 5:40 P.M. | 6:25 P.M. |\n| Oyster Lighthouse | 8:05 P.M. | 8:20 P.M. |\n| Whale Watch Harbor | 9:45 P.M. | 10:10 P.M. |" } ] }, { "id": "6537", "image": "6537.png", "conversations": [ { "from": "human", "question": "How much money does Nick need to buy a bouncy ball and a greeting card?\n" }, { "from": "gpt", "solution": "Add the price of a bouncy ball and the price of a greeting card:\n\n$0.10 + $0.85 = $0.95\n\nNick needs $0.95.", "answer": "0.95", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| greeting card | $0.85 |\n| whistle | $0.44 |\n| red balloon | $0.63 |\n| party hat | $0.76 |\n| bouncy ball | $0.10 |" } ] }, { "id": "6548", "image": "6548.png", "conversations": [ { "from": "human", "question": "How much money does Dan need to buy 4 pillows and a beach blanket?\n" }, { "from": "gpt", "solution": "Find the cost of 4 pillows.\n\n$12.39 × 4 = $49.56\n\nNow find the total cost.\n\n$49.56 + $13.73 = $63.29\n\nDan needs $63.29.", "answer": "63.29", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| navy blue bath mat | $19.08 |\n| fleece blanket | $16.43 |\n| beach blanket | $13.73 |\n| pillow | $12.39 |" } ] }, { "id": "6550", "image": "6550.png", "conversations": [ { "from": "human", "question": "While hanging Christmas lights for neighbors, Luca counted the number of broken lights on each string. How many strings had exactly 86 broken lights?\n" }, { "from": "gpt", "solution": "For the number 86, the stem is 8, and the leaf is 6. Find the row where the stem is 8. In that row, count all the leaves equal to 6.\n\nYou counted 1 leaf, which is blue in the stem-and-leaf plot above. 1 string had exactly 86 broken lights.", "answer": "1", "table": "**Broken lights per string**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1 |\n| 2 | 2, 4 |\n| 3 | |\n| 4 | |\n| 5 | 4, 6 |\n| 6 | |\n| 7 | 1, 2 |\n| 8 | 6 |\n| 9 | 0 |" } ] }, { "id": "6551", "image": "6551.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Rick just missed the 10.00 A.M. bus at the amusement park. How long does he have to wait until the next bus?\n" }, { "from": "gpt", "solution": "Find 10:00 A. M. in the row for the amusement park.\n\nLook for the next bus in that row.\n\nThe next bus is at 10:15 A. M.\n\nFind the elapsed time. The elapsed time is 15 minutes.", "answer": "15 minutes", "table": "**Hotel shuttle bus schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 | Column 5 | Column 6 |\n| --- | --- | --- | --- | --- | --- |\n| amusement park | 9:45 A.M. | 10:00 A.M. | 10:15 A.M. | 10:30 A.M. | 11:00 A.M. |\n| college campus | 10:45 A.M. | 11:00 A.M. | 11:15 A.M. | 11:30 A.M. | 12:00 P.M. |\n| art museum | 11:45 A.M. | 12:00 P.M. | 12:15 P.M. | 12:30 P.M. | 1:00 P.M. |\n| airport | 12:15 P.M. | 12:30 P.M. | 12:45 P.M. | 1:00 P.M. | 1:30 P.M. |\n| park | 1:00 P.M. | 1:15 P.M. | 1:30 P.M. | 1:45 P.M. | 2:15 P.M. |" } ] }, { "id": "6554", "image": "6554.png", "conversations": [ { "from": "human", "question": "Some students in a biology class compared how many times they went to the park last week to work on their plant research projects. How many students went to the park fewer than 2 times?\n" }, { "from": "gpt", "solution": "Find the rows for 0 and 1 time. Add the frequencies for these rows.\n\nAdd:\n\n17 + 5 = 22\n\n22 students went to the park fewer than 2 times.", "answer": "22", "table": "**Trips to the park last week**\n\n| Number of trips | Frequency |\n| --- | --- |\n| 0 | 17 |\n| 1 | 5 |\n| 2 | 16 |\n| 3 | 4 |" } ] }, { "id": "6561", "image": "6561.png", "conversations": [ { "from": "human", "question": "Some teachers compared how many years they have been teaching. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 11, 11, 10, 9, 9, 2, 11\n\nFirst, count how many numbers are in the group.\n\nThere are 8 numbers.\n\nNow add all the numbers together:\n\n9 + 11 + 11 + 10 + 9 + 9 + 2 + 11 = 72\n\nNow divide the sum by the number of numbers:\n\n72 ÷ 8 = 9\n\nThe mean is 9.", "answer": "9", "table": "**Years of teaching**\n\n| Teacher | Number of years |\n| --- | --- |\n| Mr. Nakamura | 9 |\n| Miss Torres | 11 |\n| Mr. Perez | 11 |\n| Mr. Park | 10 |\n| Miss Watson | 9 |\n| Mrs. Ramirez | 9 |\n| Ms. Chan | 2 |\n| Miss Lim | 11 |" } ] }, { "id": "6562", "image": "6562.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $865, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $865, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $785 | 14,500 | 2,200 |\n| $825 | 13,300 | 6,700 |\n| $865 | 12,100 | 11,200 |\n| $905 | 10,900 | 15,700 |\n| $945 | 9,700 | 20,200 |" } ] }, { "id": "6569", "image": "6569.png", "conversations": [ { "from": "human", "question": "Professor Campbell released the results of yesterday's pop quiz. How many students scored at least 22 points but fewer than 45 points?\n" }, { "from": "gpt", "solution": "Find the row with stem 2. Count all the leaves greater than or equal to 2.\n\nCount all the leaves in the row with stem 3.\n\nIn the row with stem 4, count all the leaves less than 5.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plots above. 4 students scored at least 22 points but fewer than 45 points.", "answer": "4", "table": "**Pop quiz scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 2 |\n| 2 | |\n| 3 | 2, 5 |\n| 4 | 0, 3, 7, 9 |\n| 5 | 8 |\n| 6 | 2 |\n| 7 | 5, 7 |\n| 8 | 3 |\n| 9 | 0 |" } ] }, { "id": "6575", "image": "6575.png", "conversations": [ { "from": "human", "question": "A juice shop tracked how many smoothies it sold in the past 4 days. On which day did the shop sell the most smoothies?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 69.\n\nNow find the corresponding day. Sunday corresponds to 69.", "answer": "Sunday", "table": "**Smoothies sold**\n\n| Day | Number of smoothies |\n| --- | --- |\n| Sunday | 69 |\n| Monday | 64 |\n| Tuesday | 61 |\n| Wednesday | 65 |" } ] }, { "id": "6587", "image": "6587.png", "conversations": [ { "from": "human", "question": "How much more does a roll of electrical tape cost than a small metal hook?\n" }, { "from": "gpt", "solution": "Subtract the price of a small metal hook from the price of a roll of electrical tape.\n\n$0.67 - $0.59 = $0.08\n\nA roll of electrical tape costs $0.08 more than a small metal hook.", "answer": "0.08", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| roll of electrical tape | $0.67 |\n| small metal hook | $0.59 |\n| piece of rope | $0.59 |\n| flat-head bolt | $0.15 |" } ] }, { "id": "6595", "image": "6595.png", "conversations": [ { "from": "human", "question": "Principal Crawford reported the state test scores from some students at her school. How many students scored exactly 48 points?\n" }, { "from": "gpt", "solution": "For the number 48, the stem is 4, and the leaf is 8. Find the row where the stem is 4. In that row, count all the leaves equal to 8.\n\nYou counted 0 leaves. 0 students scored exactly 48 points.", "answer": "0", "table": "**Test scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 4, 8 |\n| 3 | |\n| 4 | 3 |\n| 5 | 1, 2 |\n| 6 | |\n| 7 | 0 |\n| 8 | 4, 8, 8 |\n| 9 | 0 |" } ] }, { "id": "6598", "image": "6598.png", "conversations": [ { "from": "human", "question": "A wilderness retail store asked a consulting company to do an analysis of their hiking shoe customers. The consulting company gathered data from each customer that purchased hiking shoes, and recorded the shoe brand and the customer's level of happiness. What is the probability that a randomly selected customer purchased a Footlong shoe and is displeased? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the customer purchased a Footlong shoe\" and B be the event \"the customer is displeased\".\nTo find the probability that a customer purchased a Footlong shoe and is displeased, first identify the sample space and the event.\nThe outcomes in the sample space are the different customers. Each customer is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the customer purchased a Footlong shoe and is displeased\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the customer purchased a Footlong shoe and is displeased\", so look at the table to see how many customers purchased a Footlong shoe and are displeased.\nThe number of customers who purchased a Footlong shoe and are displeased is 5.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of customers.\n5 + 6 + 3 + 6 = 20\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{5}{20}\n = \\frac{1}{4}\nThe probability that a customer purchased a Footlong shoe and is displeased is \\frac{1}{4}.", "answer": "1/4", "table": "| | Displeased | Pleased |\n| --- | --- | --- |\n| A Footlong shoe | 5 | 3 |\n| A Toes Knows shoe | 6 | 6 |" } ] }, { "id": "6605", "image": "6605.png", "conversations": [ { "from": "human", "question": "Each year the Westford School District publishes its annual budget, which includes information on the sports program's per-student spending. According to the table, what was the rate of change between 2006 and 2007?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{$39 - $35}{2007 - 2006}\n = \\frac{$39 - $35}{1 year}\n = \\frac{$4}{1 year}\n = $4 per year\nThe rate of change between 2006 and 2007 was $4 per year.", "answer": "4", "table": "**Westford School District sports budget**\n\n| Year | Per-student budget |\n| --- | --- |\n| 2006 | $35 |\n| 2007 | $39 |\n| 2008 | $38 |\n| 2009 | $35 |\n| 2010 | $30 |" } ] }, { "id": "6626", "image": "6626.png", "conversations": [ { "from": "human", "question": "A school administrator who was concerned about grade inflation looked over the number of straight-A students from year to year. According to the table, what was the rate of change between 2019 and 2020?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{23 students - 25 students}{2020 - 2019}\n = \\frac{23 students - 25 students}{1 year}\n = \\frac{-2 students}{1 year}\n = -2 students per year\nThe rate of change between 2019 and 2020 was - 2 students per year.", "answer": "-2", "table": "**Straight-A students**\n\n| Year | Students |\n| --- | --- |\n| 2016 | 12 |\n| 2017 | 22 |\n| 2018 | 21 |\n| 2019 | 25 |\n| 2020 | 23 |" } ] }, { "id": "6629", "image": "6629.png", "conversations": [ { "from": "human", "question": "A museum curator counted the number of paintings in each exhibit at the art museum. What is the smallest number of paintings?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 1.\n\nNow find the lowest leaf in the first row. The lowest leaf is 8.\n\nThe smallest number of paintings has a stem of 1 and a leaf of 8. Write the stem first, then the leaf: 18.\n\nThe smallest number of paintings is 18 paintings.", "answer": "18", "table": "**Paintings per exhibit**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 8 |\n| 2 | 4 |\n| 3 | |\n| 4 | 8 |\n| 5 | 0, 1 |\n| 6 | |\n| 7 | 2 |" } ] }, { "id": "6632", "image": "6632.png", "conversations": [ { "from": "human", "question": "The bird watcher counted the number of birds in each flock that passed overhead. How many flocks had fewer than 65 birds?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 3, 4, and 5.\n\nIn the row with stem 6, count all the leaves less than 5.\n\nYou counted 12 leaves, which are blue in the stem-and-leaf plots above. 12 flocks had fewer than 65 birds.", "answer": "12", "table": "**Birds per flock**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 1, 2, 3, 5 |\n| 4 | 1, 2, 6, 7, 7 |\n| 5 | 2, 4 |\n| 6 | 2, 5, 6, 6, 7, 8, 9 |" } ] }, { "id": "6656", "image": "6656.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does bird watching class end?\n" }, { "from": "gpt", "solution": "Find bird watching class on the schedule. Find the end time for bird watching class.\n\nbird watching: 2:05 P. M.", "answer": "2:05 P.M.", "table": "**Camp schedule**\n\n| Activity | Begin | End |\n| --- | --- | --- |\n| tennis | 7:30 A.M. | 8:50 A.M. |\n| kickball | 8:55 A.M. | 10:10 A.M. |\n| snack time | 10:15 A.M. | 11:10 A.M. |\n| rock climbing | 11:20 A.M. | 11:50 A.M. |\n| kitchen duty | 11:55 A.M. | 12:30 P.M. |\n| quiet time | 12:35 P.M. | 1:25 P.M. |\n| bird watching | 1:35 P.M. | 2:05 P.M. |\n| ping-pong | 2:15 P.M. | 2:55 P.M. |\n| singing | 3:00 P.M. | 4:15 P.M. |" } ] }, { "id": "6661", "image": "6661.png", "conversations": [ { "from": "human", "question": "A machine at the candy factory dispensed different numbers of lemon-flavored candies into various bags. What is the smallest number of lemon-flavored candies?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 4.\n\nNow find the lowest leaf in the first row. The lowest leaf is 3.\n\nThe smallest number of lemon-flavored candies has a stem of 4 and a leaf of 3. Write the stem first, then the leaf: 43.\n\nThe smallest number of lemon-flavored candies is 43 lemon-flavored candies.", "answer": "43", "table": "**Lemon-flavored candies per bag**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 3, 7, 7 |\n| 5 | 7 |\n| 6 | 1 |\n| 7 | 5, 6 |" } ] }, { "id": "6667", "image": "6667.png", "conversations": [ { "from": "human", "question": "Eve kept track of how many boxes of cookies she sold over the past 7 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n36, 3, 41, 22, 23, 34, 11\n\nFirst, arrange the numbers from least to greatest:\n\n3, 11, 22, 23, 34, 36, 41\n\nNow find the number in the middle.\n\n3, 11, 22, 23, 34, 36, 41\n\nThe number in the middle is 23.\n\nThe median is 23.", "answer": "23", "table": "**Boxes of cookies sold**\n\n| Day | Number of boxes |\n| --- | --- |\n| Friday | 36 |\n| Saturday | 3 |\n| Sunday | 41 |\n| Monday | 22 |\n| Tuesday | 23 |\n| Wednesday | 34 |\n| Thursday | 11 |" } ] }, { "id": "6672", "image": "6672.png", "conversations": [ { "from": "human", "question": "Erin went to the store and bought 1 kilogram of lentils. How much did she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the lentils. Multiply the price per kilogram by the number of kilograms.\n\n$1.20 × 1 = $1.20\n\nShe spent $1.20.", "answer": "1.20", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| lentils | $1.20/kilogram |\n| soybeans | $0.99/kilogram |\n| kidney beans | $1.05/kilogram |\n| lima beans | $0.92/kilogram |\n| mung beans | $1.32/kilogram |\n| garbanzo beans | $1.35/kilogram |" } ] }, { "id": "6674", "image": "6674.png", "conversations": [ { "from": "human", "question": "For a class assignment, Zach wanted to study whether or not the color of a person's car correlates with the color of his or her hair. He spent an hour at a stoplight recording the color of each car that passed and the hair color of its driver. What is the probability that a randomly selected driver has a blue car and has red hair? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the driver has a blue car\" and B be the event \"the driver has red hair\".\nTo find the probability that a driver has a blue car and has red hair, first identify the sample space and the event.\nThe outcomes in the sample space are the different drivers. Each driver is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the driver has a blue car and has red hair\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the driver has a blue car and has red hair\", so look at the table to see how many drivers have a blue car and have red hair.\nThe number of drivers who have a blue car and have red hair is 3.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of drivers.\n3 + 3 + 2 + 3 = 11\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{3}{11}\nThe probability that a driver has a blue car and has red hair is \\frac{3}{11}.", "answer": "3/11", "table": "| | Red hair | Blonde hair |\n| --- | --- | --- |\n| Red car | 3 | 2 |\n| Blue car | 3 | 3 |" } ] }, { "id": "6681", "image": "6681.png", "conversations": [ { "from": "human", "question": "Look at Isabel's pay stub. Isabel lives in a state that has state income tax. How much did Isabel make after taxes?\n" }, { "from": "gpt", "solution": "Find how much Isabel made after taxes. Find the total payroll tax, then subtract it from the total earnings.\nTo find the total payroll tax, add the federal income tax, state income tax, and other taxes.\nThe total earnings are $2,100.00. The total payroll tax is $577.19. Subtract to find the difference.\n$2,100.00 - $577.19 = $1,522.81\nIsabel made $1,522.81 after taxes.", "answer": "1,522.81", "table": "| Employee | Pay period | |\n| --- | --- | --- |\n| Isabel Jordan | October 1-15 | |\n| Total earnings | | $2,100.00 |\n| Federal income tax | $295.00 | |\n| State income tax | $121.59 | |\n| Other taxes | $160.60 | |\n| Total taxes | | ? |\n| Pay after taxes | | ? |" } ] }, { "id": "6684", "image": "6684.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $570, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $570, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $370 | 14,300 | 5,100 |\n| $470 | 11,700 | 8,500 |\n| $570 | 9,100 | 11,900 |\n| $670 | 6,500 | 15,300 |\n| $770 | 3,900 | 18,700 |" } ] }, { "id": "6703", "image": "6703.png", "conversations": [ { "from": "human", "question": "A pet store owner had her staff count the number of fish in each tank. How many tanks have fewer than 46 fish?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1, 2, and 3.\n\nIn the row with stem 4, count all the leaves less than 6.\n\nYou counted 5 leaves, which are blue in the stem-and-leaf plots above. 5 tanks have fewer than 46 fish.", "answer": "5", "table": "**Fish per tank**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1 |\n| 2 | 6, 9 |\n| 3 | 2, 3 |\n| 4 | |\n| 5 | |\n| 6 | 5 |\n| 7 | 3, 6, 8 |\n| 8 | 0 |" } ] }, { "id": "6712", "image": "6712.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which event ends at 1.35 P.M.?\n" }, { "from": "gpt", "solution": "Find 1:35 P. M. on the schedule. The dance competition ends at 1:35 P. M.", "answer": "dance competition", "table": "**School picnic schedule**\n\n| Event | Begin | End |\n| --- | --- | --- |\n| softball game | 10:15 A.M. | 11:00 A.M. |\n| pie-eating contest | 11:15 A.M. | 12:10 P.M. |\n| soccer game | 12:25 P.M. | 12:55 P.M. |\n| dance competition | 12:35 P.M. | 1:35 P.M. |\n| swimming competition | 1:30 P.M. | 2:05 P.M. |\n| obstacle course | 2:05 P.M. | 2:45 P.M. |\n| lunch | 2:50 P.M. | 3:15 P.M. |" } ] }, { "id": "6719", "image": "6719.png", "conversations": [ { "from": "human", "question": "Brandon's class recorded how many states each student has visited. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n5, 10, 8, 8, 8, 7, 5, 7\n\nFirst, arrange the numbers from least to greatest:\n\n5, 5, 7, 7, 8, 8, 8, 10\n\nNow count how many times each number appears.\n\n5 appears 2 times.\n7 appears 2 times.\n8 appears 3 times.\n10 appears 1 time.\n\nThe number that appears most often is 8.\n\nThe mode is 8.", "answer": "8", "table": "**States visited**\n\n| Name | Number of states |\n| --- | --- |\n| Brandon | 5 |\n| Felipe | 10 |\n| Camilla | 8 |\n| Meg | 8 |\n| Tony | 8 |\n| Reba | 7 |\n| Lauren | 5 |\n| Helen | 7 |" } ] }, { "id": "6723", "image": "6723.png", "conversations": [ { "from": "human", "question": "Pedro has $1.00. Does he have enough to buy a tiny gold bead and a brown cat's eye bead?\n" }, { "from": "gpt", "solution": "Add the price of a tiny gold bead and the price of a brown cat's eye bead:\n\n$0.15 + $0.95 = $1.10\n\n$1.10 is more than $1.00. Pedro does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| shiny metal bead | $0.16 |\n| tiny gold bead | $0.15 |\n| brown cat's eye bead | $0.95 |\n| shiny red bead | $0.77 |\n| oval turquoise bead | $0.75 |" } ] }, { "id": "6727", "image": "6727.png", "conversations": [ { "from": "human", "question": "Hanson has $22.00. Does he have enough to buy pasta with meat sauce and a pepperoni pizza?\n" }, { "from": "gpt", "solution": "Add the price of pasta with meat sauce and the price of a pepperoni pizza:\n\n$13.00 + $10.00 = $23.00\n\n$23.00 is more than $22.00. Hanson does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pepperoni pizza | $10.00 |\n| lasagna | $14.00 |\n| mushroom pizza | $15.00 |\n| pasta with meat sauce | $13.00 |\n| pasta with mushrooms | $13.00 |" } ] }, { "id": "6730", "image": "6730.png", "conversations": [ { "from": "human", "question": "The art museum kept records about how many visitors it had in the past 4 months. How many more visitors did the museum have in October than in January?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nOctober: 6,794\nJanuary: 5,806\n\nNow subtract: 6,794 - 5,806 = 988.\n\nThe museum had 988 more visitors in October.", "answer": "988", "table": "**Art museum visitors**\n\n| Month | Number of visitors |\n| --- | --- |\n| October | 6,794 |\n| November | 3,214 |\n| December | 3,185 |\n| January | 5,806 |" } ] }, { "id": "6738", "image": "6738.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Sharon got on the bus at downtown at 11.45 A.M. What time will she get to the art museum?\n" }, { "from": "gpt", "solution": "Find 11:45 A. M. in the row for downtown. That column shows the schedule for the bus that Sharon is on.\n\nLook down the column until you find the row for the art museum.\n\nSharon will get to the art museum at 1:30 P. M.", "answer": "1:30 P.M.", "table": "**Tour bus schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 |\n| --- | --- | --- | --- |\n| skyscraper | 9:30 A.M. | 10:15 A.M. | 10:45 A.M. |\n| downtown | 10:30 A.M. | 11:15 A.M. | 11:45 A.M. |\n| city hall | 11:15 A.M. | 12:00 P.M. | 12:30 P.M. |\n| art museum | 12:15 P.M. | 1:00 P.M. | 1:30 P.M. |\n| the zoo | 1:15 P.M. | 2:00 P.M. | 2:30 P.M. |" } ] }, { "id": "6739", "image": "6739.png", "conversations": [ { "from": "human", "question": "How much more does a photograph signed by a famous race car driver cost than a DVD signed by a famous comedian?\n" }, { "from": "gpt", "solution": "Subtract the price of a DVD signed by a famous comedian from the price of a photograph signed by a famous race car driver.\n\n$843.00 - $161.00 = $682.00\n\nA photograph signed by a famous race car driver costs $682.00 more than a DVD signed by a famous comedian.", "answer": "682", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| ball signed by a famous football player | $179.00 |\n| photograph signed by a famous race car driver | $843.00 |\n| DVD signed by a famous comedian | $161.00 |\n| photograph signed by a famous singer | $605.00 |\n| painting signed by a famous artist | $998.00 |" } ] }, { "id": "6746", "image": "6746.png", "conversations": [ { "from": "human", "question": "Miss Foley ran a sit-up competition among her P.E. students and monitored how many sit-ups each students could do. What is the largest number of sit-ups done?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 8.\n\nNow find the highest leaf in the last row. The highest leaf is 6.\n\nThe largest number of sit-ups done has a stem of 8 and a leaf of 6. Write the stem first, then the leaf: 86.\n\nThe largest number of sit-ups done is 86 sit-ups.", "answer": "86", "table": "**Sit-up competition (number of sit-ups)**\n\n| Stem | Leaf |\n| --- | --- |\n| 0 | 0, 0, 2 |\n| 1 | 4, 5 |\n| 2 | 1, 2 |\n| 3 | |\n| 4 | 2, 5, 6 |\n| 5 | 5, 5 |\n| 6 | 5, 5, 8 |\n| 7 | 3 |\n| 8 | 2, 3, 6 |" } ] }, { "id": "6749", "image": "6749.png", "conversations": [ { "from": "human", "question": "Ronald kept track of how long it took to finish his homework each day. According to the table, what was the rate of change between Friday and Saturday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{41 minutes - 40 minutes}{1 day}\n = \\frac{1 minute}{1 day}\n = 1 minute per day\nThe rate of change between Friday and Saturday was 1 minute per day.", "answer": "1", "table": "**Time Ronald spent on homework**\n\n| Day | Minutes |\n| --- | --- |\n| Tuesday | 34 |\n| Wednesday | 36 |\n| Thursday | 45 |\n| Friday | 40 |\n| Saturday | 41 |" } ] }, { "id": "6754", "image": "6754.png", "conversations": [ { "from": "human", "question": "A fashion magazine poll asks how many winter hats each reader owns. How many readers do not have a winter hat?\n" }, { "from": "gpt", "solution": "Find the row for 0 hats and read the frequency. The frequency is 2.\n\n2 readers do not have a winter hat.", "answer": "2", "table": "**Winter hats**\n\n| Number of winter hats | Frequency |\n| --- | --- |\n| 0 | 2 |\n| 1 | 20 |\n| 2 | 6 |\n| 3 | 8 |" } ] }, { "id": "6761", "image": "6761.png", "conversations": [ { "from": "human", "question": "A food industry researcher compiled the revenues of several pizzerias. Which restaurant made the most from pepperoni pizza sales?\n" }, { "from": "gpt", "solution": "Look at the numbers in the Pepperoni pizzas column. Find the greatest number in this column.\n\nThe greatest number is $19.00, which is in the The Big Cheese row. The Big Cheese made the most from pepperoni pizza sales.", "answer": "The Big Cheese", "table": "**Pizza sales**\n\n| Restaurant | Supreme pizzas | Pepperoni pizzas |\n| --- | --- | --- |\n| Pizzas Only | $12 | $9 |\n| Pizza, Pasta and More | $20 | $17 |\n| The Big Cheese | $15 | $19 |\n| Pizzeria Italiano | $13 | $9 |\n| Pizza Italia | $8 | $10 |" } ] }, { "id": "6762", "image": "6762.png", "conversations": [ { "from": "human", "question": "A newspaper researched how many grocery stores there are in each town. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n2, 6, 2, 3, 2\n\nFirst, count how many numbers are in the group.\n\nThere are 5 numbers.\n\nNow add all the numbers together:\n\n2 + 6 + 2 + 3 + 2 = 15\n\nNow divide the sum by the number of numbers:\n\n15 ÷ 5 = 3\n\nThe mean is 3.", "answer": "3", "table": "**Grocery stores in each town**\n\n| Town | Number of stores |\n| --- | --- |\n| Riverside | 2 |\n| Greenwood | 6 |\n| Marion | 2 |\n| Ashland | 3 |\n| Watertown | 2 |" } ] }, { "id": "6763", "image": "6763.png", "conversations": [ { "from": "human", "question": "Joseph kept track of the number of games his soccer team won each year. According to the table, what was the rate of change between 2009 and 2010?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{19 games - 32 games}{2010 - 2009}\n = \\frac{19 games - 32 games}{1 year}\n = \\frac{-13 games}{1 year}\n = -13 games per year\nThe rate of change between 2009 and 2010 was - 13 games per year.", "answer": "-13", "table": "**Games won by Joseph's soccer team**\n\n| Year | Games won |\n| --- | --- |\n| 2006 | 2 |\n| 2007 | 16 |\n| 2008 | 28 |\n| 2009 | 32 |\n| 2010 | 19 |" } ] }, { "id": "6770", "image": "6770.png", "conversations": [ { "from": "human", "question": "Each pond has 5 frogs. How many frogs are in 4 ponds?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 20 frogs in 4 ponds.", "answer": "20", "table": "| Number of ponds | Number of frogs |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | ? |" } ] }, { "id": "6771", "image": "6771.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{13 - 3}{10 - 9}\n = \\frac{10}{1}\n = 10\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{15 - 13}{11 - 10}\n = \\frac{2}{1}\n = 2\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 9 | 3 |\n| 10 | 13 |\n| 11 | 15 |" } ] }, { "id": "6773", "image": "6773.png", "conversations": [ { "from": "human", "question": "The movie critic liked to count the number of actors in each movie she saw. How many movies had at least 60 actors but fewer than 90 actors?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 6, 7, and 8.\n\nYou counted 11 leaves, which are blue in the stem-and-leaf plot above. 11 movies had at least 60 actors but fewer than 90 actors.", "answer": "11", "table": "**Actors per movie**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 1, 1, 7, 7 |\n| 5 | 0, 3, 4, 7, 8, 8 |\n| 6 | 2, 3, 3, 6, 9 |\n| 7 | 1, 5, 9 |\n| 8 | 1, 2, 5 |\n| 9 | 0 |" } ] }, { "id": "6775", "image": "6775.png", "conversations": [ { "from": "human", "question": "Maya went to the store. She bought 2 pounds of oyster mushrooms and 3 pounds of chanterelle mushrooms. How much did she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the oyster mushrooms. Multiply:\n\n$18 × 2 = $36\n\nFind the cost of the chanterelle mushrooms. Multiply:\n\n$16 × 3 = $48\n\nNow find the total cost by adding:\n\n$36 + $48 = $84\n\nShe spent $84.", "answer": "84", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| oyster mushrooms | $18/pound |\n| crimini mushrooms | $5/pound |\n| chanterelle mushrooms | $16/pound |\n| portobello mushrooms | $9/pound |\n| straw mushrooms | $9/pound |" } ] }, { "id": "6776", "image": "6776.png", "conversations": [ { "from": "human", "question": "Tamir's class paid attention to how many bottles each student collected for their recycling project. How many more bottles did Tamir collect than Dakota?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nTamir: 525\nDakota: 347\n\nNow subtract: 525 - 347 = 178.\n\nTamir collected 178 more bottles.", "answer": "178", "table": "**Bottles collected**\n\n| Name | Number of bottles |\n| --- | --- |\n| Nancy | 191 |\n| Tamir | 525 |\n| Hazel | 695 |\n| Dakota | 347 |" } ] }, { "id": "6778", "image": "6778.png", "conversations": [ { "from": "human", "question": "Tom, a huge fan, tracked the scores on his favorite radio quiz show. How many people scored more than 2?\n" }, { "from": "gpt", "solution": "Find the rows for 3, 4, and 5. Add the frequencies for these rows.\n\nAdd:\n\n16 + 7 + 6 = 29\n\n29 people scored more than 2.", "answer": "29", "table": "**Scores on a radio quiz show**\n\n| Score | Frequency |\n| --- | --- |\n| 0 | 9 |\n| 1 | 20 |\n| 2 | 13 |\n| 3 | 16 |\n| 4 | 7 |\n| 5 | 6 |" } ] }, { "id": "6780", "image": "6780.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which performance begins at 9.15 P.M.?\n" }, { "from": "gpt", "solution": "Find 9:15 P. M. on the schedule. The ringmaster's performance begins at 9:15 P. M.", "answer": "ringmaster's performance", "table": "**Circus schedule**\n\n| Performer | Begin | End |\n| --- | --- | --- |\n| the stuntman | 6:00 P.M. | 6:15 P.M. |\n| the acrobats | 6:20 P.M. | 6:55 P.M. |\n| the strongman | 7:05 P.M. | 7:25 P.M. |\n| the unicycle rider | 7:35 P.M. | 8:10 P.M. |\n| the tightrope walkers | 8:25 P.M. | 8:30 P.M. |\n| the magician | 8:40 P.M. | 9:00 P.M. |\n| the ringmaster | 9:15 P.M. | 9:45 P.M. |\n| the trapeze artists | 9:50 P.M. | 10:15 P.M. |" } ] }, { "id": "6790", "image": "6790.png", "conversations": [ { "from": "human", "question": "How much money does Eliana need to buy a quilt and a pillow?\n" }, { "from": "gpt", "solution": "Add the price of a quilt and the price of a pillow:\n\n$47.49 + $14.62 = $62.11\n\nEliana needs $62.11.", "answer": "62.11", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| beach blanket | $13.96 |\n| fleece blanket | $15.69 |\n| quilt | $47.49 |\n| pillow | $14.62 |" } ] }, { "id": "6799", "image": "6799.png", "conversations": [ { "from": "human", "question": "Destiny kept track of how many kilometers she walked during the past 5 days. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 19, 9, 19, 19\n\nFirst, arrange the numbers from least to greatest:\n\n9, 9, 19, 19, 19\n\nNow count how many times each number appears.\n\n9 appears 2 times.\n19 appears 3 times.\n\nThe number that appears most often is 19.\n\nThe mode is 19.", "answer": "19", "table": "**Kilometers walked**\n\n| Day | Kilometers |\n| --- | --- |\n| Monday | 9 |\n| Tuesday | 19 |\n| Wednesday | 9 |\n| Thursday | 19 |\n| Friday | 19 |" } ] }, { "id": "6800", "image": "6800.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $735, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $735, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $645 | 17,100 | 10,700 |\n| $735 | 13,100 | 12,800 |\n| $825 | 9,100 | 14,900 |\n| $915 | 5,100 | 17,000 |\n| $1,005 | 1,100 | 19,100 |" } ] }, { "id": "6801", "image": "6801.png", "conversations": [ { "from": "human", "question": "A cable company analyst paid attention to how many new customers it had each day. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n43, 38, 41, 38, 38, 37, 40\n\nFirst, arrange the numbers from least to greatest:\n\n37, 38, 38, 38, 40, 41, 43\n\nNow find the number in the middle.\n\n37, 38, 38, 38, 40, 41, 43\n\nThe number in the middle is 38.\n\nThe median is 38.", "answer": "38", "table": "**New cable customers**\n\n| Day | Number of new customers |\n| --- | --- |\n| Tuesday | 43 |\n| Wednesday | 38 |\n| Thursday | 41 |\n| Friday | 38 |\n| Saturday | 38 |\n| Sunday | 37 |\n| Monday | 40 |" } ] }, { "id": "6805", "image": "6805.png", "conversations": [ { "from": "human", "question": "A city planner counted the number of floors per building in the downtown area. What is the largest number of floors?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 6.\n\nNow find the highest leaf in the last row. The highest leaf is 8.\n\nThe largest number of floors has a stem of 6 and a leaf of 8. Write the stem first, then the leaf: 68.\n\nThe largest number of floors is 68 floors.", "answer": "68", "table": "**Floors per building**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 4 |\n| 3 | 2, 6, 7 |\n| 4 | 7, 7 |\n| 5 | 2, 3, 5 |\n| 6 | 1, 8 |" } ] }, { "id": "6806", "image": "6806.png", "conversations": [ { "from": "human", "question": "While looking through an almanac at the library, Olivia noticed some data showing the population density of various states. How many people per square mile lived in Idaho in 2000?\n" }, { "from": "gpt", "solution": "First, find the row for Idaho. Then find the number in the 2000 column.\n\nThis number is 15. In 2000, Idaho had 15 people per square mile.", "answer": "15", "table": "**Population per square mile**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| State | 1990 | 2000 |\n| North Dakota | 9 | 9 |\n| Nevada | 10 | 18 |\n| New Mexico | 12 | 15 |\n| Idaho | 12 | 15 |" } ] }, { "id": "6807", "image": "6807.png", "conversations": [ { "from": "human", "question": "Fans of the Hillsboro baseball team compared the number of games won by their team each year. According to the table, what was the rate of change between 2014 and 2015?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{23 games - 20 games}{2015 - 2014}\n = \\frac{23 games - 20 games}{1 year}\n = \\frac{3 games}{1 year}\n = 3 games per year\nThe rate of change between 2014 and 2015 was 3 games per year.", "answer": "3", "table": "**Games won by the Hillsboro baseball team**\n\n| Year | Games won |\n| --- | --- |\n| 2014 | 20 |\n| 2015 | 23 |\n| 2016 | 24 |\n| 2017 | 28 |\n| 2018 | 10 |" } ] }, { "id": "6810", "image": "6810.png", "conversations": [ { "from": "human", "question": "Fans of the Weston baseball team compared the number of games won by their team each year. According to the table, what was the rate of change between 2013 and 2014?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{40 games - 38 games}{2014 - 2013}\n = \\frac{40 games - 38 games}{1 year}\n = \\frac{2 games}{1 year}\n = 2 games per year\nThe rate of change between 2013 and 2014 was 2 games per year.", "answer": "2", "table": "**Games won by the Weston baseball team**\n\n| Year | Games won |\n| --- | --- |\n| 2011 | 38 |\n| 2012 | 46 |\n| 2013 | 38 |\n| 2014 | 40 |\n| 2015 | 39 |" } ] }, { "id": "6812", "image": "6812.png", "conversations": [ { "from": "human", "question": "A gymnast jotted down the number of cartwheels she did each day. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n3, 7, 3, 4, 7, 3\n\nFirst, arrange the numbers from least to greatest:\n\n3, 3, 3, 4, 7, 7\n\nNow count how many times each number appears.\n\n3 appears 3 times.\n4 appears 1 time.\n7 appears 2 times.\n\nThe number that appears most often is 3.\n\nThe mode is 3.", "answer": "3", "table": "**Doing cartwheels**\n\n| Day | Number of cartwheels |\n| --- | --- |\n| Friday | 3 |\n| Saturday | 7 |\n| Sunday | 3 |\n| Monday | 4 |\n| Tuesday | 7 |\n| Wednesday | 3 |" } ] }, { "id": "6823", "image": "6823.png", "conversations": [ { "from": "human", "question": "How much money does Lamar need to buy buttermilk pancakes and a breakfast burrito?\n" }, { "from": "gpt", "solution": "Add the price of buttermilk pancakes and the price of a breakfast burrito:\n\n$9 + $6 = $15\n\nLamar needs $15.", "answer": "15", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| poached eggs | $1 |\n| biscuits and gravy | $4 |\n| fried eggs | $3 |\n| buttermilk pancakes | $9 |\n| breakfast burrito | $6 |" } ] }, { "id": "6834", "image": "6834.png", "conversations": [ { "from": "human", "question": "Some dealerships compared their vehicle sales. Which dealership sold the fewest vehicles?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 71.\n\nNow find the corresponding dealership. Affordable Cars corresponds to 71.", "answer": "Affordable Cars", "table": "**Vehicle sales**\n\n| Dealership | Number of vehicles |\n| --- | --- |\n| Truck Town | 78 |\n| Affordable Cars | 71 |\n| Cars of Pryor Falls | 79 |\n| Ledbetter Auto Mall | 72 |" } ] }, { "id": "6859", "image": "6859.png", "conversations": [ { "from": "human", "question": "Andrew purchased 1/2 of a kilogram of rice pudding. What was the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the rice pudding. Multiply the price per kilogram by the number of kilograms.\n$3 × \\frac{1}{2} = $3 × 0.5 = $1.50\nThe total cost was $1.50.", "answer": "1.50", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| butterscotch pudding | $2 per kg |\n| pistachio pudding | $3 per kg |\n| tapioca pudding | $3 per kg |\n| rice pudding | $3 per kg |" } ] }, { "id": "6873", "image": "6873.png", "conversations": [ { "from": "human", "question": "In a recent election at Copeland University, six people ran for student body president. What fraction of votes were for Harry? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many votes were for Harry.\n\n390\n\nFind how many votes there were in total.\n\n460 + 390 + 980 + 380 + 560 + 450 = 3,220\n\nDivide 390 by 3,220.\n\n\\frac{390}{3,220}\n\nReduce the fraction.\n\n\\frac{390}{3,220} → \\frac{39}{322}\n\n\\frac{39}{322} of votes were for Harry.", "answer": "39/322", "table": "**Election results**\n\n| Candidate | Votes |\n| --- | --- |\n| Kamal | 460 |\n| Harry | 390 |\n| Mona | 980 |\n| Brooke | 380 |\n| Mitch | 560 |\n| Vivian | 450 |" } ] }, { "id": "6874", "image": "6874.png", "conversations": [ { "from": "human", "question": "The soccer coach is preparing for the upcoming season by seeing how many goals his team members scored last season. How many team members scored fewer than 3 goals last season?\n" }, { "from": "gpt", "solution": "Find the rows for 0, 1, and 2 goals last season. Add the frequencies for these rows.\n\nAdd:\n\n3 + 10 + 11 = 24\n\n24 team members scored fewer than 3 goals last season.", "answer": "24", "table": "**Soccer goals last season**\n\n| Goals scored | Frequency |\n| --- | --- |\n| 0 | 3 |\n| 1 | 10 |\n| 2 | 11 |\n| 3 | 2 |\n| 4 | 13 |\n| 5 | 8 |\n| 6 | 17 |" } ] }, { "id": "6875", "image": "6875.png", "conversations": [ { "from": "human", "question": "How much more does an almond tart cost than a pineapple upside-down cake?\n" }, { "from": "gpt", "solution": "Subtract the price of a pineapple upside-down cake from the price of an almond tart.\n\n$15.00 - $10.00 = $5.00\n\nAn almond tart costs $5.00 more than a pineapple upside-down cake.", "answer": "5", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| peach pie | $14.00 |\n| almond tart | $15.00 |\n| carrot cake | $28.00 |\n| strawberry cheesecake | $14.00 |\n| pineapple upside-down cake | $10.00 |" } ] }, { "id": "6876", "image": "6876.png", "conversations": [ { "from": "human", "question": "Look at this table. Is this relation a function?\n" }, { "from": "gpt", "solution": "Look at the x-values in the table.\n\nThe x-value 9 is paired with multiple y-values, so the relation is not a function.", "answer": "no", "table": "| x | y |\n| --- | --- |\n| 3 | 15 |\n| 15 | 10 |\n| 9 | 3 |\n| 9 | 20 |" } ] }, { "id": "6879", "image": "6879.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{10 - 3}{12 - 11}\n = \\frac{7}{1}\n = 7\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{17 - 3}{13 - 11}\n = \\frac{14}{2}\n = 7\nThe two rates of change are the same.\nIf you checked the rate of change between rows 2 and 3, you would find that it is also 7.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 11 | 3 |\n| 12 | 10 |\n| 13 | 17 |" } ] }, { "id": "6883", "image": "6883.png", "conversations": [ { "from": "human", "question": "Kyle has $41.00. Does he have enough to buy a chocolate cake and a key lime pie?\n" }, { "from": "gpt", "solution": "Add the price of a chocolate cake and the price of a key lime pie:\n\n$30.00 + $11.00 = $41.00\n\nSince Kyle has $41.00, he has just enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| chocolate cheesecake | $17.00 |\n| apple pie | $10.00 |\n| apple tart | $18.00 |\n| key lime pie | $11.00 |\n| chocolate cake | $30.00 |\n| birthday cake | $19.00 |" } ] }, { "id": "6892", "image": "6892.png", "conversations": [ { "from": "human", "question": "Grayson's class tracked how many newspapers each student collected for their recycling project. Together, how many newspapers did Grayson and Eli collect?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nGrayson: 599\nEli: 216\n\nNow add: 599 + 216 = 815.\n\nGrayson and Eli collected 815 newspapers.", "answer": "815", "table": "**Newspapers collected**\n\n| Name | Number of newspapers |\n| --- | --- |\n| Warren | 290 |\n| Rafi | 132 |\n| Grayson | 599 |\n| Lucas | 144 |\n| Eli | 216 |" } ] }, { "id": "6900", "image": "6900.png", "conversations": [ { "from": "human", "question": "Judith counted the number of words per page in her new book. How many pages have at least 10 words but fewer than 20 words?\n" }, { "from": "gpt", "solution": "Count all the leaves in the row with stem 1.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 pages have at least 10 words but fewer than 20 words.", "answer": "3", "table": "**Words per page**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 2, 5, 8 |\n| 2 | 9 |\n| 3 | 0, 0, 3 |\n| 4 | |\n| 5 | 1, 3, 4, 6, 9, 9 |\n| 6 | 7, 8, 9, 9 |" } ] }, { "id": "6905", "image": "6905.png", "conversations": [ { "from": "human", "question": "The houses in Helen's town get their water from a local reservoir. Helen and a group of engineers monitor the water level for safety and health reasons. The change in water level over two months is shown in the table. During which month did the water level change more?\n" }, { "from": "gpt", "solution": "A positive change means the water level went up. A negative change means the water level went down.\nTo find the month the water level changed more, use absolute value. Absolute value tells you how much the water level changed each month.\nApril: |-6| = 6\nMay: |4| = 4\nThe water level went down 6 inches in April, and it only went up 4 inches in May. The water level changed more in April.", "answer": "April", "table": "| Month | Change in water level (in.) |\n| --- | --- |\n| April | -6 |\n| May | 4 |" } ] }, { "id": "6918", "image": "6918.png", "conversations": [ { "from": "human", "question": "Look at this table. Is this relation a function?\n" }, { "from": "gpt", "solution": "Look at the x-values in the table.\n\nEach of the x-values is paired with only one y-value, so the relation is a function.", "answer": "yes", "table": "| x | y |\n| --- | --- |\n| 19 | 19 |\n| 8 | 6 |\n| 10 | 5 |" } ] }, { "id": "6926", "image": "6926.png", "conversations": [ { "from": "human", "question": "Some teachers compared how many students are in their classes. Which teacher has the fewest students?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 20.\n\nNow find the corresponding teacher. Mr. Watson corresponds to 20.", "answer": "Mr. Watson", "table": "**Class size**\n\n| Teacher | Number of students |\n| --- | --- |\n| Mr. Watson | 20 |\n| Mrs. King | 25 |\n| Mrs. Novak | 24 |\n| Ms. Hershfeld | 27 |" } ] }, { "id": "6934", "image": "6934.png", "conversations": [ { "from": "human", "question": "What is the total cost for 3 kilograms of cheddar popcorn?\n" }, { "from": "gpt", "solution": "Find the cost of the cheddar popcorn. Multiply the price per kilogram by the number of kilograms.\n\n$1.63 × 3 = $4.89\n\nThe total cost is $4.89.", "answer": "4.89", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| ranch popcorn | $1.14 per kg |\n| kettle corn | $1.22 per kg |\n| chocolate popcorn | $0.45 per kg |\n| Parmesan popcorn | $1.34 per kg |\n| cheddar popcorn | $1.63 per kg |" } ] }, { "id": "6940", "image": "6940.png", "conversations": [ { "from": "human", "question": "Jon looked at his calendar to figure out how much time he spent babysitting each month. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 4, 3, 10, 7\n\nFirst, find the greatest number. The greatest number is 10.\n\nNext, find the least number. The least number is 3.\n\nSubtract the least number from the greatest number:\n\n10 − 3 = 7\n\nThe range is 7.", "answer": "7", "table": "**Hours of babysitting**\n\n| Month | Hours |\n| --- | --- |\n| May | 9 |\n| June | 4 |\n| July | 3 |\n| August | 10 |\n| September | 7 |" } ] }, { "id": "6944", "image": "6944.png", "conversations": [ { "from": "human", "question": "The librarian at the public library counted the number of books on each shelf. What is the largest number of books?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 7.\n\nNow find the highest leaf in the last row. The highest leaf is 6.\n\nThe largest number of books has a stem of 7 and a leaf of 6. Write the stem first, then the leaf: 76.\n\nThe largest number of books is 76 books.", "answer": "76", "table": "**Books per shelf**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 2 |\n| 3 | 0, 1, 3, 3, 5, 6, 8, 8 |\n| 4 | 4 |\n| 5 | 4, 7, 7 |\n| 6 | 6 |\n| 7 | 6, 6 |" } ] }, { "id": "6946", "image": "6946.png", "conversations": [ { "from": "human", "question": "How much would it cost to buy 2+7/10 pounds of pumpkin muffin mix?\n" }, { "from": "gpt", "solution": "Find the cost of the pumpkin muffin mix. Multiply the price per pound by the number of pounds.\n$1 × 2\\frac{7}{10} = $1 × 2.7 = $2.70\nIt would cost $2.70.", "answer": "2.70", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| bran muffin mix | $1 per lb |\n| blueberry muffin mix | $3 per lb |\n| chocolate chip muffin mix | $1 per lb |\n| pumpkin muffin mix | $1 per lb |\n| cranberry muffin mix | $3 per lb |" } ] }, { "id": "6949", "image": "6949.png", "conversations": [ { "from": "human", "question": "Each bin has 10 yellow blocks. How many yellow blocks are in 5 bins?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 50 yellow blocks in 5 bins.", "answer": "50", "table": "| Number of bins | Number of yellow blocks |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | 40 |\n| 5 | ? |" } ] }, { "id": "6957", "image": "6957.png", "conversations": [ { "from": "human", "question": "The school district compared how many math teachers each high school has. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 4, 5, 3, 10, 8, 5\n\nFirst, count how many numbers are in the group.\n\nThere are 7 numbers.\n\nNow add all the numbers together:\n\n7 + 4 + 5 + 3 + 10 + 8 + 5 = 42\n\nNow divide the sum by the number of numbers:\n\n42 ÷ 7 = 6\n\nThe mean is 6.", "answer": "6", "table": "**Math teachers**\n\n| High school | Number of math teachers |\n| --- | --- |\n| Hillview High | 7 |\n| River High | 4 |\n| Westside High | 5 |\n| Northside High | 3 |\n| Cedar High | 10 |\n| Thompson High | 8 |\n| Green High | 5 |" } ] }, { "id": "6959", "image": "6959.png", "conversations": [ { "from": "human", "question": "An environmental agency examined how many trees were planted by different organizations. Which organization planted the fewest trees?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 958.\n\nNow find the corresponding organization. Plant It corresponds to 958.", "answer": "Plant It", "table": "**Trees planted**\n\n| Organization | Number of trees planted |\n| --- | --- |\n| Dreaming Green | 995 |\n| Plant It | 958 |\n| New Planet | 985 |\n| Trees for All | 989 |" } ] }, { "id": "6961", "image": "6961.png", "conversations": [ { "from": "human", "question": "Ellie likes watching the show Engineering Marvels. In last night's episode, the engineering team visited a tall skyscraper and a deep mine. A banner at the bottom of the screen showed the elevation of each location the team visited. Which location is closer to sea level?\n" }, { "from": "gpt", "solution": "The top of the skyscraper has a positive elevation, so it is above sea level. The bottom of the mine has a negative elevation, so it is below sea level.\nTo find the location closer to sea level, use absolute value. Absolute value tells you how far each location is from sea level.\nTop of the skyscraper: |275| = 275\nBottom of the mine: |-260| = 260\nThe top of the skyscraper is 275 meters above sea level, but the bottom of the mine is only260 meters below sea level. The bottom of the mine is closer to sea level.", "answer": "bottom of the mine", "table": "| Location | Elevation (m) |\n| --- | --- |\n| Top of the skyscraper | 275 |\n| Bottom of the mine | -260 |" } ] }, { "id": "6963", "image": "6963.png", "conversations": [ { "from": "human", "question": "How much money does Turner need to buy 3 guitars and 7 oboes?\n" }, { "from": "gpt", "solution": "Find the cost of 3 guitars.\n\n$9,177 × 3 = $27,531\n\nFind the cost of 7 oboes.\n\n$3,710 × 7 = $25,970\n\nNow find the total cost.\n\n$27,531 + $25,970 = $53,501\n\nTurner needs $53,501.", "answer": "53,501", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| guitar | $9,177 |\n| tuba | $6,012 |\n| saxophone | $2,792 |\n| cello | $4,227 |\n| oboe | $3,710 |" } ] }, { "id": "6984", "image": "6984.png", "conversations": [ { "from": "human", "question": "A real estate agent looked into how many houses were sold in different cities. Where were the fewest houses sold?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 32.\n\nNow find the corresponding city. Pennytown corresponds to 32.", "answer": "Pennytown", "table": "**House sales**\n\n| City | Number of houses sold |\n| --- | --- |\n| Liberty City | 34 |\n| Melville | 37 |\n| Pennytown | 32 |\n| Charles Falls | 39 |" } ] }, { "id": "6986", "image": "6986.png", "conversations": [ { "from": "human", "question": "An employee at the crayon factory kept track of the number of crayons produced each day. How many crayons total did the factory produce on Tuesday and Wednesday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nTuesday: 1,244\nWednesday: 1,454\n\nNow add: 1,244 + 1,454 = 2,698.\n\nThe factory produced 2,698 crayons on Tuesday and Wednesday.", "answer": "2,698", "table": "**Crayons produced**\n\n| Day | Number of crayons |\n| --- | --- |\n| Monday | 6,738 |\n| Tuesday | 1,244 |\n| Wednesday | 1,454 |\n| Thursday | 1,028 |" } ] }, { "id": "6996", "image": "6996.png", "conversations": [ { "from": "human", "question": "A restaurant's average food preparation time was tracked from day to day as part of an efficiency improvement program. According to the table, what was the rate of change between Thursday and Friday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{8 minutes - 12 minutes}{1 day}\n = \\frac{-4 minutes}{1 day}\n = -4 minutes per day\nThe rate of change between Thursday and Friday was - 4 minutes per day.", "answer": "-4", "table": "**Average food preparation time**\n\n| Day | Food preparation time (minutes) |\n| --- | --- |\n| Monday | 12 |\n| Tuesday | 11 |\n| Wednesday | 9 |\n| Thursday | 12 |\n| Friday | 8 |" } ] }, { "id": "7003", "image": "7003.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{11 - 6}{9 - 8}\n = \\frac{5}{1}\n = 5\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{20 - 6}{10 - 8}\n = \\frac{14}{2}\n = 7\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 8 | 6 |\n| 9 | 11 |\n| 10 | 20 |" } ] }, { "id": "7009", "image": "7009.png", "conversations": [ { "from": "human", "question": "A researcher recorded the number of cows on each farm in the county. How many farms have exactly 70 cows?\n" }, { "from": "gpt", "solution": "For the number 70, the stem is 7, and the leaf is 0. Find the row where the stem is 7. In that row, count all the leaves equal to 0.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 farms have exactly 70 cows.", "answer": "3", "table": "**Cows per farm**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 6 |\n| 3 | 2 |\n| 4 | 0 |\n| 5 | |\n| 6 | |\n| 7 | 0, 0, 0, 7 |" } ] }, { "id": "7010", "image": "7010.png", "conversations": [ { "from": "human", "question": "Emmet looked at his calendar to figure out how much time he spent babysitting each month. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 4, 10, 4, 2, 9, 8, 5\n\nFirst, find the greatest number. The greatest number is 10.\n\nNext, find the least number. The least number is 2.\n\nSubtract the least number from the greatest number:\n\n10 − 2 = 8\n\nThe range is 8.", "answer": "8", "table": "**Hours of babysitting**\n\n| Month | Hours |\n| --- | --- |\n| September | 6 |\n| October | 4 |\n| November | 10 |\n| December | 4 |\n| January | 2 |\n| February | 9 |\n| March | 8 |\n| April | 5 |" } ] }, { "id": "7013", "image": "7013.png", "conversations": [ { "from": "human", "question": "This is Sandra's complete financial record for December. How much money did Sandra spend on December 29?\n" }, { "from": "gpt", "solution": "Look at the 12/29 row. The expenses were $7.80. So, Sandra spent $7.80 on December 29.\n", "answer": "7.80", "table": "| Date | Description | Received | Expenses | Available Funds |\n| --- | --- | --- | --- | --- |\n| | Balance: end of November | | | $328.20 |\n| 12/5 | wrapping paper | | $4.95 | $323.25 |\n| 12/16 | watching Ms. Kramer's cat | $15.00 | | $338.25 |\n| 12/29 | calendar | | $7.80 | $330.45 |" } ] }, { "id": "7014", "image": "7014.png", "conversations": [ { "from": "human", "question": "In science class, Britney is learning about places with extreme temperatures. She learns that the highest temperature ever recorded was in Death Valley, California. She also learns that the lowest temperature ever recorded was in Vostok Station, Antarctica. The record-setting temperatures of the two locations are shown in the table. Which location's temperature was further from zero?\n" }, { "from": "gpt", "solution": "A positive number means the temperature was above zero. A negative number means the temperature was below zero.\nTo find which temperature was further from zero, use absolute value. Absolute value tells you how far a temperature is from zero.\nDeath Valley: |134| = 134\nVostok Station: |-128| = 128\nThe temperature of Death Valley was further from zero. It was 134 degrees above zero.", "answer": "Death Valley", "table": "| Location | Temperature (°F) |\n| --- | --- |\n| Death Valley | 134 |\n| Vostok Station | -128 |" } ] }, { "id": "7017", "image": "7017.png", "conversations": [ { "from": "human", "question": "Every year Greenwood has a citywide relay and reports the winning times. According to the table, what was the rate of change between 2017 and 2018?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{26 minutes - 23 minutes}{2018 - 2017}\n = \\frac{26 minutes - 23 minutes}{1 year}\n = \\frac{3 minutes}{1 year}\n = 3 minutes per year\nThe rate of change between 2017 and 2018 was 3 minutes per year.", "answer": "3", "table": "**Winning relay times**\n\n| Year | Winning time (minutes) |\n| --- | --- |\n| 2016 | 29 |\n| 2017 | 23 |\n| 2018 | 26 |\n| 2019 | 41 |\n| 2020 | 31 |" } ] }, { "id": "7019", "image": "7019.png", "conversations": [ { "from": "human", "question": "Some candy companies compared how many pieces of candy they have produced. Together, how many pieces of candy have Sugary Candies and Candy by Katie produced?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nSugary Candies: 7,146\nCandy by Katie: 1,340\n\nNow add: 7,146 + 1,340 = 8,486.\n\nSugary Candies and Candy by Katie have produced 8,486 pieces of candy.", "answer": "8,486", "table": "**Candy production**\n\n| Company | Number of pieces of candy |\n| --- | --- |\n| Sugary Candies | 7,146 |\n| Tasty Treats | 1,247 |\n| Candy by Katie | 1,340 |" } ] }, { "id": "7024", "image": "7024.png", "conversations": [ { "from": "human", "question": "Beth has $34. Does she have enough to buy a coffee pot and a cookbook?\n" }, { "from": "gpt", "solution": "Add the price of a coffee pot and the price of a cookbook:\n\n$16 + $20 = $36\n\n$36 is more than $34. Beth does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| serving platter | $14 |\n| cookbook | $20 |\n| soup pot | $35 |\n| coffee pot | $16 |\n| set of dishes | $68 |" } ] }, { "id": "7027", "image": "7027.png", "conversations": [ { "from": "human", "question": "A juice shop tracked how many smoothies it sold in the past 4 days. On which day did the shop sell the most smoothies?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 662.\n\nNow find the corresponding day. Tuesday corresponds to 662.", "answer": "Tuesday", "table": "**Smoothies sold**\n\n| Day | Number of smoothies |\n| --- | --- |\n| Monday | 632 |\n| Tuesday | 662 |\n| Wednesday | 623 |\n| Thursday | 636 |" } ] }, { "id": "7028", "image": "7028.png", "conversations": [ { "from": "human", "question": "Gabby went on a camping trip and logged the number of miles she hiked each day. On which day did Gabby hike the fewest miles?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 12.\n\nNow find the corresponding day. Sunday corresponds to 12.", "answer": "Sunday", "table": "**Miles hiked**\n\n| Day | Number of miles |\n| --- | --- |\n| Friday | 18 |\n| Saturday | 13 |\n| Sunday | 12 |\n| Monday | 16 |" } ] }, { "id": "7035", "image": "7035.png", "conversations": [ { "from": "human", "question": "A grocery store monitored how many paper bags it used each day. How many more paper bags did the store use on Thursday than on Friday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nThursday: 6,009\nFriday: 3,833\n\nNow subtract: 6,009 - 3,833 = 2,176.\n\nThe store used 2,176 more paper bags on Thursday.", "answer": "2,176", "table": "**Grocery store bags**\n\n| Day | Number of paper bags |\n| --- | --- |\n| Wednesday | 8,263 |\n| Thursday | 6,009 |\n| Friday | 3,833 |\n| Saturday | 4,947 |\n| Sunday | 7,014 |" } ] }, { "id": "7041", "image": "7041.png", "conversations": [ { "from": "human", "question": "Nancy has $106.00. Does she have enough to buy a trampoline and a trivia game?\n" }, { "from": "gpt", "solution": "Add the price of a trampoline and the price of a trivia game:\n\n$91.00 + $17.00 = $108.00\n\n$108.00 is more than $106.00. Nancy does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| toy guitar | $29.00 |\n| trivia game | $17.00 |\n| board game | $15.00 |\n| video game | $41.00 |\n| trampoline | $91.00 |" } ] }, { "id": "7047", "image": "7047.png", "conversations": [ { "from": "human", "question": "Every summer, Jonathan goes on a week-long canoe trip with his childhood camp friends. After the trip, he usually purchases some oars from the destination city. His collection of oars is organized by year and type of wood. What is the probability that a randomly selected oar was purchased in 2010 and was made from ash wood? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the oar was purchased in 2010\" and B be the event \"the oar was made from ash wood\".\nTo find the probability that a oar was purchased in 2010 and was made from ash wood, first identify the sample space and the event.\nThe outcomes in the sample space are the different oars. Each oar is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the oar was purchased in 2010 and was made from ash wood\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the oar was purchased in 2010 and was made from ash wood\", so look at the table to see how many oars were purchased in 2010 and were made from ash wood.\nThe number of oars that were purchased in 2010 and were made from ash wood is 3.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of oars.\n4 + 6 + 3 + 6 = 19\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{3}{19}\nThe probability that a oar was purchased in 2010 and was made from ash wood is \\frac{3}{19}.", "answer": "3/19", "table": "| | Spruce wood | Ash wood |\n| --- | --- | --- |\n| 2010 | 4 | 3 |\n| 2011 | 6 | 6 |" } ] }, { "id": "7048", "image": "7048.png", "conversations": [ { "from": "human", "question": "Sandeep has $759.00. Does he have enough to buy a microwave and a refrigerator?\n" }, { "from": "gpt", "solution": "Add the price of a microwave and the price of a refrigerator:\n\n$104.00 + $669.00 = $773.00\n\n$773.00 is more than $759.00. Sandeep does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| microwave | $104.00 |\n| washing machine | $482.00 |\n| refrigerator | $669.00 |\n| dishwasher | $386.00 |" } ] }, { "id": "7058", "image": "7058.png", "conversations": [ { "from": "human", "question": "A restaurant's average food preparation time was tracked from day to day as part of an efficiency improvement program. According to the table, what was the rate of change between Wednesday and Thursday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{13 minutes - 38 minutes}{1 day}\n = \\frac{-25 minutes}{1 day}\n = -25 minutes per day\nThe rate of change between Wednesday and Thursday was - 25 minutes per day.", "answer": "-25", "table": "**Average food preparation time**\n\n| Day | Food preparation time (minutes) |\n| --- | --- |\n| Monday | 23 |\n| Tuesday | 37 |\n| Wednesday | 38 |\n| Thursday | 13 |\n| Friday | 36 |" } ] }, { "id": "7059", "image": "7059.png", "conversations": [ { "from": "human", "question": "To figure out how many vacation days he had left to use, Kendrick looked over his old calendars to figure out how many days of vacation he had taken each year. According to the table, what was the rate of change between 2007 and 2008?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{25 vacation days - 24 vacation days}{2008 - 2007}\n = \\frac{25 vacation days - 24 vacation days}{1 year}\n = \\frac{1 vacation day}{1 year}\n = 1 vacation day per year\nThe rate of change between 2007 and 2008 was 1 vacation day per year.", "answer": "1", "table": "**Vacation days taken by Kendrick**\n\n| Year | Vacation days |\n| --- | --- |\n| 2007 | 24 |\n| 2008 | 25 |\n| 2009 | 29 |\n| 2010 | 21 |\n| 2011 | 22 |" } ] }, { "id": "7062", "image": "7062.png", "conversations": [ { "from": "human", "question": "Kira's class recorded how many cans of food each student collected for their canned food drive. How many more cans of food did Kira collect than Julie?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nKira: 8,280\nJulie: 3,626\n\nNow subtract: 8,280 - 3,626 = 4,654.\n\nKira collected 4,654 more cans.", "answer": "4,654", "table": "**Cans of food collected**\n\n| Name | Number of cans of food |\n| --- | --- |\n| Kira | 8,280 |\n| Julie | 3,626 |\n| Erik | 6,612 |" } ] }, { "id": "7065", "image": "7065.png", "conversations": [ { "from": "human", "question": "How much money does Bonnie need to buy a pineapple upside-down cake, a carrot cake, and a chocolate cake?\n" }, { "from": "gpt", "solution": "Find the total cost of a pineapple upside-down cake, a carrot cake, and a chocolate cake.\n\n$13.00 + $11.00 + $20.00 = $44.00\n\nBonnie needs $44.00.", "answer": "44", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| chocolate cake | $20.00 |\n| carrot cake | $11.00 |\n| pineapple upside-down cake | $13.00 |\n| pumpkin pie | $13.00 |\n| peach pie | $15.00 |" } ] }, { "id": "7073", "image": "7073.png", "conversations": [ { "from": "human", "question": "In a study on public parking, the director of transportation counted the number of cars in each of the city's parking lots. How many parking lots had at least 31 cars but fewer than 42 cars?\n" }, { "from": "gpt", "solution": "Find the row with stem 3. Count all the leaves greater than or equal to 1.\n\nIn the row with stem 4, count all the leaves less than 2.\n\nYou counted 8 leaves, which are blue in the stem-and-leaf plots above. 8 parking lots had at least 31 cars but fewer than 42 cars.", "answer": "8", "table": "**Cars per parking lot**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 4, 4 |\n| 2 | 0, 1, 3, 3 |\n| 3 | 2, 4, 5, 9 |\n| 4 | 0, 0, 0, 1, 4, 4, 5, 9 |\n| 5 | 4, 9 |\n| 6 | 0, 3, 5 |" } ] }, { "id": "7082", "image": "7082.png", "conversations": [ { "from": "human", "question": "Hugo has $9,986.00. Does he have enough to buy a Jamaican vacation package and an African safari vacation package?\n" }, { "from": "gpt", "solution": "Add the price of a Jamaican vacation package and the price of an African safari vacation package:\n\n$6,319.00 + $4,170.00 = $10,489.00\n\n$10,489.00 is more than $9,986.00. Hugo does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| Australian vacation package | $3,483.00 |\n| Caribbean vacation package | $2,496.00 |\n| Jamaican vacation package | $6,319.00 |\n| Hawaiian vacation package | $5,492.00 |\n| African safari vacation package | $4,170.00 |" } ] }, { "id": "7086", "image": "7086.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{12 - 9}{3 - 2}\n = \\frac{3}{1}\n = 3\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{20 - 12}{4 - 3}\n = \\frac{8}{1}\n = 8\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 2 | 9 |\n| 3 | 12 |\n| 4 | 20 |" } ] }, { "id": "7101", "image": "7101.png", "conversations": [ { "from": "human", "question": "How much money does Ruth need to buy a baking dish, a casserole dish, and an ice cream scoop?\n" }, { "from": "gpt", "solution": "Find the total cost of a baking dish, a casserole dish, and an ice cream scoop.\n\n$4.00 + $3.00 + $6.00 = $13.00\n\nRuth needs $13.00.", "answer": "13", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| baking dish | $4.00 |\n| ice cream scoop | $6.00 |\n| casserole dish | $3.00 |\n| rolling pin | $4.00 |" } ] }, { "id": "7102", "image": "7102.png", "conversations": [ { "from": "human", "question": "How much money does Barry need to buy a package of confetti and a bouncy ball?\n" }, { "from": "gpt", "solution": "Add the price of a package of confetti and the price of a bouncy ball:\n\n$0.89 + $0.29 = $1.18\n\nBarry needs $1.18.", "answer": "1.18", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| bouncy ball | $0.29 |\n| greeting card | $0.92 |\n| package of confetti | $0.89 |\n| birthday balloon | $0.83 |" } ] }, { "id": "7104", "image": "7104.png", "conversations": [ { "from": "human", "question": "Trisha measured the length of each scarf in the clothing store where she works. How many scarves are at least 70 centimeters but less than 90 centimeters?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 7 and 8.\n\nYou counted 11 leaves, which are blue in the stem-and-leaf plot above. 11 scarves are at least 70 centimeters but less than 90 centimeters.", "answer": "11", "table": "**Scarf lengths (centimeters)**\n\n| Stem | Leaf |\n| --- | --- |\n| 6 | 9 |\n| 7 | 2, 4, 5 |\n| 8 | 1, 1, 3, 5, 6, 7, 7, 8 |\n| 9 | 0 |" } ] }, { "id": "7108", "image": "7108.png", "conversations": [ { "from": "human", "question": "An economics student recorded the amount of per-capita aid that the U.S. gave to various countries during the 1900s. In 1990, how much more aid per capita did Algeria receive than Libya?\n" }, { "from": "gpt", "solution": "Find the 1990 column. Find the numbers in this column for Algeria and Libya.\n\nAlgeria: $10.00\nLibya: $5.00\n\nNow subtract:\n\n$10.00 − $5.00 = $5.00\n\nIn 1990, Algeria received $5 more aid per capita than Libya received.", "answer": "5", "table": "**Aid received per capita from the U.S.**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 1980 | 1990 |\n| Algeria | $9 | $10 |\n| Afghanistan | $2 | $7 |\n| Libya | $5 | $5 |" } ] }, { "id": "7136", "image": "7136.png", "conversations": [ { "from": "human", "question": "An insurance company compiled the number of doctor visits made by some patients last year. How many patients went to the doctor exactly 3 times last year?\n" }, { "from": "gpt", "solution": "Find the row for 3 times and read the frequency. The frequency is 4.\n\n4 patients went to the doctor exactly 3 times last year.", "answer": "4", "table": "**Doctor visits last year**\n\n| Number of trips | Frequency |\n| --- | --- |\n| 0 | 0 |\n| 1 | 12 |\n| 2 | 7 |\n| 3 | 4 |\n| 4 | 6 |\n| 5 | 5 |" } ] }, { "id": "7145", "image": "7145.png", "conversations": [ { "from": "human", "question": "Kendra kept track of the number of games her soccer team won each year. According to the table, what was the rate of change between 2010 and 2011?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{11 games - 18 games}{2011 - 2010}\n = \\frac{11 games - 18 games}{1 year}\n = \\frac{-7 games}{1 year}\n = -7 games per year\nThe rate of change between 2010 and 2011 was - 7 games per year.", "answer": "-7", "table": "**Games won by Kendra's soccer team**\n\n| Year | Games won |\n| --- | --- |\n| 2008 | 15 |\n| 2009 | 19 |\n| 2010 | 18 |\n| 2011 | 11 |\n| 2012 | 17 |" } ] }, { "id": "7147", "image": "7147.png", "conversations": [ { "from": "human", "question": "Each shopping bag has 2 sweatshirts. How many sweatshirts are in 4 shopping bags?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 8 sweatshirts in 4 shopping bags.", "answer": "8", "table": "| Number of shopping bags | Number of sweatshirts |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | 6 |\n| 4 | ? |" } ] }, { "id": "7151", "image": "7151.png", "conversations": [ { "from": "human", "question": "The aquarium's records showed how many tickets were sold in the past 5 days. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n100, 90, 97, 93, 100\n\nFirst, count how many numbers are in the group.\n\nThere are 5 numbers.\n\nNow add all the numbers together:\n\n100 + 90 + 97 + 93 + 100 = 480\n\nNow divide the sum by the number of numbers:\n\n480 ÷ 5 = 96\n\nThe mean is 96.", "answer": "96", "table": "**Tickets sold**\n\n| Day | Number of tickets |\n| --- | --- |\n| Monday | 100 |\n| Tuesday | 90 |\n| Wednesday | 97 |\n| Thursday | 93 |\n| Friday | 100 |" } ] }, { "id": "7162", "image": "7162.png", "conversations": [ { "from": "human", "question": "Greta's classmates revealed how many science articles they read. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n5, 5, 7, 4, 4, 7, 4\n\nFirst, arrange the numbers from least to greatest:\n\n4, 4, 4, 5, 5, 7, 7\n\nNow count how many times each number appears.\n\n4 appears 3 times.\n5 appears 2 times.\n7 appears 2 times.\n\nThe number that appears most often is 4.\n\nThe mode is 4.", "answer": "4", "table": "**Science articles read**\n\n| Name | Number of science articles |\n| --- | --- |\n| Greta | 5 |\n| Kiera | 5 |\n| Damon | 7 |\n| Ryan | 4 |\n| Edmond | 4 |\n| Javier | 7 |\n| Lila | 4 |" } ] }, { "id": "7164", "image": "7164.png", "conversations": [ { "from": "human", "question": "Each vase has 5 poppies. How many poppies are in 3 vases?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 15 poppies in 3 vases.", "answer": "15", "table": "| Number of vases | Number of poppies |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | ? |" } ] }, { "id": "7167", "image": "7167.png", "conversations": [ { "from": "human", "question": "A crayon factory monitored the number of broken crayons per box during the past day. How many boxes had at least 37 broken crayons?\n" }, { "from": "gpt", "solution": "Find the row with stem 3. Count all the leaves greater than or equal to 7.\n\nCount all the leaves in the rows with stems 4 and 5.\n\nYou counted 9 leaves, which are blue in the stem-and-leaf plots above. 9 boxes had at least 37 broken crayons.", "answer": "9", "table": "**Broken crayons per box**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 5, 6 |\n| 3 | 1, 5, 7, 8 |\n| 4 | 1, 2, 4, 7 |\n| 5 | 1, 3, 6 |" } ] }, { "id": "7173", "image": "7173.png", "conversations": [ { "from": "human", "question": "A hardware store monitored how many hammers it sold in the past 7 days. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n2, 1, 3, 9, 1, 10, 9\n\nFirst, count how many numbers are in the group.\n\nThere are 7 numbers.\n\nNow add all the numbers together:\n\n2 + 1 + 3 + 9 + 1 + 10 + 9 = 35\n\nNow divide the sum by the number of numbers:\n\n35 ÷ 7 = 5\n\nThe mean is 5.", "answer": "5", "table": "**Hammers sold**\n\n| Day | Number of hammers |\n| --- | --- |\n| Sunday | 2 |\n| Monday | 1 |\n| Tuesday | 3 |\n| Wednesday | 9 |\n| Thursday | 1 |\n| Friday | 10 |\n| Saturday | 9 |" } ] }, { "id": "7174", "image": "7174.png", "conversations": [ { "from": "human", "question": "A bus driver paid attention to how many passengers her bus had each day. On which day did the bus have the fewest passengers?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 51.\n\nNow find the corresponding day. Sunday corresponds to 51.", "answer": "Sunday", "table": "**People on the bus**\n\n| Day | Number of people |\n| --- | --- |\n| Thursday | 59 |\n| Friday | 56 |\n| Saturday | 58 |\n| Sunday | 51 |" } ] }, { "id": "7188", "image": "7188.png", "conversations": [ { "from": "human", "question": "Paula has $9. Does she have enough to buy a long-sleeved shirt and a denim skirt?\n" }, { "from": "gpt", "solution": "Add the price of a long-sleeved shirt and the price of a denim skirt:\n\n$7 + $3 = $10\n\n$10 is more than $9. Paula does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| red sweater | $4 |\n| pair of jeans | $9 |\n| denim skirt | $3 |\n| white polo shirt | $8 |\n| pair of shorts | $9 |\n| long-sleeved shirt | $7 |" } ] }, { "id": "7202", "image": "7202.png", "conversations": [ { "from": "human", "question": "Akira wants to buy 0.4 kilograms of Parmesan. How much will she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the Parmesan. Multiply the price per kilogram by the number of kilograms.\n$4 × 0.4 = $1.60\nShe will spend $1.60.", "answer": "1.60", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| Parmesan | $4/kg |\n| Swiss | $3/kg |\n| ricotta | $4/kg |\n| cheddar | $4/kg |\n| gorgonzola | $4/kg |" } ] }, { "id": "7204", "image": "7204.png", "conversations": [ { "from": "human", "question": "A pumpkin patch monitored the number of pumpkins sold each day. On which day did the pumpkin patch sell the fewest pumpkins?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 34.\n\nNow find the corresponding day. Friday corresponds to 34.", "answer": "Friday", "table": "**Pumpkins sold**\n\n| Day | Number of pumpkins |\n| --- | --- |\n| Friday | 34 |\n| Saturday | 35 |\n| Sunday | 36 |\n| Monday | 39 |" } ] }, { "id": "7212", "image": "7212.png", "conversations": [ { "from": "human", "question": "Julia wants to buy 4+3/4 kilograms of romaine lettuce. How much will she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the romaine lettuce. Multiply the price per kilogram by the number of kilograms.\n$2 × 4\\frac{3}{4} = $2 × 4.75 = $9.50\nShe will spend $9.50.", "answer": "9.50", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| summer crisp lettuce | $1/kilogram |\n| romaine lettuce | $2/kilogram |\n| Chinese lettuce | $1/kilogram |\n| kale | $1/kilogram |" } ] }, { "id": "7217", "image": "7217.png", "conversations": [ { "from": "human", "question": "In trying to calculate how much money could be saved by packing lunch, Troy recorded the amount he spent on lunch each day. According to the table, what was the rate of change between Tuesday and Wednesday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{$8 - $7}{1 day}\n = \\frac{$1}{1 day}\n = $1 perday\nThe rate of change between Tuesday and Wednesday was $1 perday.", "answer": "1", "table": "**Amount Troy spent on lunch**\n\n| Day | Amount spent |\n| --- | --- |\n| Monday | $3 |\n| Tuesday | $7 |\n| Wednesday | $8 |\n| Thursday | $2 |\n| Friday | $8 |" } ] }, { "id": "7218", "image": "7218.png", "conversations": [ { "from": "human", "question": "A museum curator counted the number of paintings in each exhibit at the art museum. How many exhibits have exactly 52 paintings?\n" }, { "from": "gpt", "solution": "For the number 52, the stem is 5, and the leaf is 2. Find the row where the stem is 5. In that row, count all the leaves equal to 2.\n\nYou counted 0 leaves. 0 exhibits have exactly 52 paintings.", "answer": "0", "table": "**Paintings per exhibit**\n\n| Stem | Leaf |\n| --- | --- |\n| 0 | 9 |\n| 1 | 1, 5, 7 |\n| 2 | 2, 4 |\n| 3 | 2, 3, 4, 5, 9 |\n| 4 | |\n| 5 | 1, 1, 8 |\n| 6 | 4, 6 |\n| 7 | 0, 2, 4, 8 |\n| 8 | |\n| 9 | 0, 0 |" } ] }, { "id": "7222", "image": "7222.png", "conversations": [ { "from": "human", "question": "Carla looked at the dates of the digital photos on her computer to find out how many she had taken in the past 5 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n1, 10, 10, 8, 7\n\nFirst, find the greatest number. The greatest number is 10.\n\nNext, find the least number. The least number is 1.\n\nSubtract the least number from the greatest number:\n\n10 − 1 = 9\n\nThe range is 9.", "answer": "9", "table": "**Photographs taken**\n\n| Day | Number of photographs |\n| --- | --- |\n| Wednesday | 1 |\n| Thursday | 10 |\n| Friday | 10 |\n| Saturday | 8 |\n| Sunday | 7 |" } ] }, { "id": "7230", "image": "7230.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $685, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $685, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $265 | 20,300 | 5,600 |\n| $405 | 16,100 | 8,900 |\n| $545 | 11,900 | 12,200 |\n| $685 | 7,700 | 15,500 |\n| $825 | 3,500 | 18,800 |" } ] }, { "id": "7234", "image": "7234.png", "conversations": [ { "from": "human", "question": "The train conductor made sure to count the number of passengers on each train. How many trains had exactly 17 passengers?\n" }, { "from": "gpt", "solution": "For the number 17, the stem is 1, and the leaf is 7. Find the row where the stem is 1. In that row, count all the leaves equal to 7.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 trains had exactly17 passengers.", "answer": "4", "table": "**Passengers per train**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1, 1, 6, 7, 7, 7, 7, 8 |\n| 2 | |\n| 3 | 4 |\n| 4 | 1 |\n| 5 | 4, 8 |\n| 6 | 8, 8, 9 |\n| 7 | 5 |\n| 8 | 9, 9 |\n| 9 | 0, 0 |" } ] }, { "id": "7235", "image": "7235.png", "conversations": [ { "from": "human", "question": "After a scavenger hunt, a team counted the number of pine cones found by each of its members. How many people found exactly 2 pine cones?\n" }, { "from": "gpt", "solution": "Find the row for 2 pine cones and read the frequency. The frequency is 11.\n\n11 people found exactly2 pine cones.", "answer": "11", "table": "**Finding pine cones**\n\n| Pine cones found | Frequency |\n| --- | --- |\n| 1 | 4 |\n| 2 | 11 |\n| 3 | 15 |\n| 4 | 8 |\n| 5 | 13 |" } ] }, { "id": "7236", "image": "7236.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $210, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $210, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $170 | 13,700 | 7,300 |\n| $210 | 11,100 | 10,300 |\n| $250 | 8,500 | 13,300 |\n| $290 | 5,900 | 16,300 |\n| $330 | 3,300 | 19,300 |" } ] }, { "id": "7241", "image": "7241.png", "conversations": [ { "from": "human", "question": "Pam found out the sizes of all the clubs at her school. How many clubs have exactly 36 members?\n" }, { "from": "gpt", "solution": "For the number 36, the stem is 3, and the leaf is 6. Find the row where the stem is 3. In that row, count all the leaves equal to 6.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 clubs have exactly 36 members.", "answer": "3", "table": "**Club sizes (number of members)**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 3, 5, 6, 6, 6 |\n| 4 | 1, 2, 3 |\n| 5 | 3, 8 |\n| 6 | 1, 8, 8, 8, 9 |\n| 7 | 0, 4, 8 |\n| 8 | 0, 1 |\n| 9 | 0, 0 |" } ] }, { "id": "7250", "image": "7250.png", "conversations": [ { "from": "human", "question": "Seth paid attention to how many comic strips he read in the past 5 days. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n8, 9, 9, 9, 8\n\nFirst, arrange the numbers from least to greatest:\n\n8, 8, 9, 9, 9\n\nNow count how many times each number appears.\n\n8 appears 2 times.\n9 appears 3 times.\n\nThe number that appears most often is 9.\n\nThe mode is 9.", "answer": "9", "table": "**Comic strips read**\n\n| Day | Number of comic strips |\n| --- | --- |\n| Sunday | 8 |\n| Monday | 9 |\n| Tuesday | 9 |\n| Wednesday | 9 |\n| Thursday | 8 |" } ] }, { "id": "7252", "image": "7252.png", "conversations": [ { "from": "human", "question": "A wilderness retail store asked a consulting company to do an analysis of their hiking shoe customers. The consulting company gathered data from each customer that purchased hiking shoes, and recorded the shoe brand and the customer's level of happiness. What is the probability that a randomly selected customer purchased a Footlong shoe and is pleased? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the customer purchased a Footlong shoe\" and B be the event \"the customer is pleased\".\nTo find the probability that a customer purchased a Footlong shoe and is pleased, first identify the sample space and the event.\nThe outcomes in the sample space are the different customers. Each customer is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the customer purchased a Footlong shoe and is pleased\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the customer purchased a Footlong shoe and is pleased\", so look at the table to see how many customers purchased a Footlong shoe and are pleased.\nThe number of customers who purchased a Footlong shoe and are pleased is 7.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of customers.\n3 + 2 + 7 + 6 = 18\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{7}{18}\nThe probability that a customer purchased a Footlong shoe and is pleased is \\frac{7}{18}.", "answer": "7/18", "table": "| | Displeased | Pleased |\n| --- | --- | --- |\n| A Footlong shoe | 3 | 7 |\n| A Toes Knows shoe | 2 | 6 |" } ] }, { "id": "7254", "image": "7254.png", "conversations": [ { "from": "human", "question": "Each package has 10 yogurt pops. How many yogurt pops are in 4 packages?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 40 yogurt pops in 4 packages.", "answer": "40", "table": "| Number of packages | Number of yogurt pops |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | ? |" } ] }, { "id": "7255", "image": "7255.png", "conversations": [ { "from": "human", "question": "An employee at the craft store counted the number of red buttons in each bag of mixed buttons. What is the largest number of red buttons?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 5.\n\nNow find the highest leaf in the last row. The highest leaf is 9.\n\nThe largest number of red buttons has a stem of 5 and a leaf of 9. Write the stem first, then the leaf: 59.\n\nThe largest number of red buttons is 59 red buttons.", "answer": "59", "table": "**Red buttons per bag**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 4, 4, 5, 6 |\n| 3 | 4, 6, 8 |\n| 4 | 0, 3 |\n| 5 | 1, 3, 9 |" } ] }, { "id": "7260", "image": "7260.png", "conversations": [ { "from": "human", "question": "A pumpkin patch monitored the number of pumpkins sold each day. On which day did the pumpkin patch sell the fewest pumpkins?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 226.\n\nNow find the corresponding day. Friday corresponds to 226.", "answer": "Friday", "table": "**Pumpkins sold**\n\n| Day | Number of pumpkins |\n| --- | --- |\n| Tuesday | 276 |\n| Wednesday | 269 |\n| Thursday | 272 |\n| Friday | 226 |" } ] }, { "id": "7265", "image": "7265.png", "conversations": [ { "from": "human", "question": "A Girl Scout troop recorded how many boxes of cookies they sold each day for a week. According to the table, what was the rate of change between Sunday and Monday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{29 boxes - 32 boxes}{1 day}\n = \\frac{-3 boxes}{1 day}\n = -3 boxes per day\nThe rate of change between Sunday and Monday was - 3 boxes per day.", "answer": "-3", "table": "**Boxes of Girl Scout cookies sold**\n\n| Day | Boxes of cookies |\n| --- | --- |\n| Sunday | 32 |\n| Monday | 29 |\n| Tuesday | 30 |\n| Wednesday | 23 |\n| Thursday | 28 |" } ] }, { "id": "7267", "image": "7267.png", "conversations": [ { "from": "human", "question": "How much money does Aubrey need to buy 7 sets of dishes?\n" }, { "from": "gpt", "solution": "Find the total cost of 7 sets of dishes by multiplying 7 times the price of a set of dishes.\n\n$63.27 × 7 = $442.89\n\nAubrey needs $442.89.", "answer": "442.89", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| frying pan | $18.69 |\n| coffee pot | $11.64 |\n| set of dishes | $63.27 |\n| set of spoons | $11.18 |\n| teapot | $15.73 |\n| rolling pin | $10.95 |" } ] }, { "id": "7276", "image": "7276.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does the insect show begin?\n" }, { "from": "gpt", "solution": "Find the insect show on the schedule. Find the beginning time for the insect show.\n\ninsect show: 11:55 A. M.", "answer": "11:55 A.M.", "table": "**Zoo schedule**\n\n| Event | Begin | End |\n| --- | --- | --- |\n| zebra feeding | 9:30 A.M. | 10:10 A.M. |\n| koala feeding | 10:10 A.M. | 11:15 A.M. |\n| reptile show | 11:05 A.M. | 12:25 P.M. |\n| insect show | 11:55 A.M. | 1:15 P.M. |\n| bird show | 1:50 P.M. | 2:40 P.M. |\n| panda lecture | 3:55 P.M. | 4:50 P.M. |\n| bear lecture | 5:35 P.M. | 6:45 P.M. |" } ] }, { "id": "7281", "image": "7281.png", "conversations": [ { "from": "human", "question": "A cable company analyst paid attention to how many new customers it had each day. How many total new customers did the cable company have on Monday and Tuesday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nMonday: 169\nTuesday: 298\n\nNow add: 169 + 298 = 467.\n\nThe cable company had 467 new customers in Monday and Tuesday.", "answer": "467", "table": "**New cable customers**\n\n| Day | Number of new customers |\n| --- | --- |\n| Sunday | 513 |\n| Monday | 169 |\n| Tuesday | 298 |\n| Wednesday | 242 |" } ] }, { "id": "7285", "image": "7285.png", "conversations": [ { "from": "human", "question": "Some dealerships compared their vehicle sales. In all, how many vehicles did Ben's Used Cars and Affordable Cars sell?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nBen's Used Cars: 856\nAffordable Cars: 615\n\nNow add: 856 + 615 = 1,471.\n\nIn all, Ben's Used Cars and Affordable Cars sold 1,471 vehicles.", "answer": "1,471", "table": "**Vehicle sales**\n\n| Dealership | Number of vehicles |\n| --- | --- |\n| Ben's Used Cars | 856 |\n| Truck City | 392 |\n| Ledbetter Auto Mall | 653 |\n| Affordable Cars | 615 |" } ] }, { "id": "7290", "image": "7290.png", "conversations": [ { "from": "human", "question": "Jeffrey jotted down how many baskets he made during basketball practice each day. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 9, 4, 4, 9\n\nFirst, arrange the numbers from least to greatest:\n\n4, 4, 9, 9, 9\n\nNow count how many times each number appears.\n\n4 appears 2 times.\n9 appears 3 times.\n\nThe number that appears most often is 9.\n\nThe mode is 9.", "answer": "9", "table": "**Baskets made**\n\n| Day | Number of baskets |\n| --- | --- |\n| Tuesday | 9 |\n| Wednesday | 9 |\n| Thursday | 4 |\n| Friday | 4 |\n| Saturday | 9 |" } ] }, { "id": "7295", "image": "7295.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{9 - 12}{3 - 2}\n = \\frac{-3}{1}\n = -3\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{2 - 12}{4 - 2}\n = \\frac{-10}{2}\n = -5\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 2 | 12 |\n| 3 | 9 |\n| 4 | 2 |" } ] }, { "id": "7302", "image": "7302.png", "conversations": [ { "from": "human", "question": "Some truck drivers wrote down how far they each drove in the past month. How many more miles did Evelyn drive than Zoe?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nEvelyn: 6,746\nZoe: 5,207\n\nNow subtract: 6,746 - 5,207 = 1,539.\n\nEvelyn drove 1,539 more miles.", "answer": "1,539", "table": "**Miles driven by truck drivers**\n\n| Name | Miles |\n| --- | --- |\n| Evelyn | 6,746 |\n| Shelby | 2,572 |\n| Zoe | 5,207 |" } ] }, { "id": "7303", "image": "7303.png", "conversations": [ { "from": "human", "question": "A toy store employee counted the number of toys in each bin in the sale section. How many bins had at least 53 toys but fewer than 73 toys?\n" }, { "from": "gpt", "solution": "Find the row with stem 5. Count all the leaves greater than or equal to 3.\n\nCount all the leaves in the row with stem 6.\n\nIn the row with stem 7, count all the leaves less than 3.\n\nYou counted 7 leaves, which are blue in the stem-and-leaf plots above. 7 bins had at least 53 toys but fewer than 73 toys.", "answer": "7", "table": "**Toys per bin**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 5, 9 |\n| 3 | 5, 7 |\n| 4 | 3, 5, 7, 9 |\n| 5 | 3, 5, 5 |\n| 6 | 2, 4, 5 |\n| 7 | 1, 8 |\n| 8 | 4, 8 |\n| 9 | 0 |" } ] }, { "id": "7314", "image": "7314.png", "conversations": [ { "from": "human", "question": "A Technical Assistance Manager monitored his customers' wait times. How many people waited for less than 60 minutes?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 0, 1, 2, 3, 4, and 5.\n\nYou counted 7 leaves, which are blue in the stem-and-leaf plot above. 7 people waited for less than 60 minutes.", "answer": "7", "table": "**Technical assistance wait times (minutes)**\n\n| Stem | Leaf |\n| --- | --- |\n| 0 | 3, 5 |\n| 1 | 9 |\n| 2 | 4, 6 |\n| 3 | |\n| 4 | 9 |\n| 5 | 6 |\n| 6 | 1, 5, 5, 8 |\n| 7 | 2, 5, 5, 5, 7 |\n| 8 | 6 |" } ] }, { "id": "7316", "image": "7316.png", "conversations": [ { "from": "human", "question": "Seth recalled how many goals he had made in soccer practice each day. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n5, 5, 10, 9, 6, 9, 5\n\nFirst, count how many numbers are in the group.\n\nThere are 7 numbers.\n\nNow add all the numbers together:\n\n5 + 5 + 10 + 9 + 6 + 9 + 5 = 49\n\nNow divide the sum by the number of numbers:\n\n49 ÷ 7 = 7\n\nThe mean is 7.", "answer": "7", "table": "**Goals made**\n\n| Day | Number of goals |\n| --- | --- |\n| Friday | 5 |\n| Saturday | 5 |\n| Sunday | 10 |\n| Monday | 9 |\n| Tuesday | 6 |\n| Wednesday | 9 |\n| Thursday | 5 |" } ] }, { "id": "7320", "image": "7320.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{16 - 18}{8 - 7}\n = \\frac{-2}{1}\n = -2\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{15 - 18}{9 - 7}\n = \\frac{-3}{2}\n = -1\\frac{1}{2}\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 7 | 18 |\n| 8 | 16 |\n| 9 | 15 |" } ] }, { "id": "7321", "image": "7321.png", "conversations": [ { "from": "human", "question": "A newspaper researched how many grocery stores there are in each town. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n4, 4, 3, 6, 6, 6, 2, 9\n\nFirst, count how many numbers are in the group.\n\nThere are 8 numbers.\n\nNow add all the numbers together:\n\n4 + 4 + 3 + 6 + 6 + 6 + 2 + 9 = 40\n\nNow divide the sum by the number of numbers:\n\n40 ÷ 8 = 5\n\nThe mean is 5.", "answer": "5", "table": "**Grocery stores in each town**\n\n| Town | Number of stores |\n| --- | --- |\n| Marion | 4 |\n| Greenwood | 4 |\n| Mayfield | 3 |\n| Columbia | 6 |\n| Chesterton | 6 |\n| Riverside | 6 |\n| Springfield | 2 |\n| Watertown | 9 |" } ] }, { "id": "7328", "image": "7328.png", "conversations": [ { "from": "human", "question": "At a swim meet, Chase noted the size of various swim teams. How many teams have at least 74 swimmers but fewer than 86 swimmers?\n" }, { "from": "gpt", "solution": "Find the row with stem 7. Count all the leaves greater than or equal to 4.\n\nIn the row with stem 8, count all the leaves less than 6.\n\nYou counted 5 leaves, which are blue in the stem-and-leaf plots above. 5 teams have at least 74 swimmers but fewer than 86 swimmers.", "answer": "5", "table": "**Swimming team sizes (number of swimmers)**\n\n| Stem | Leaf |\n| --- | --- |\n| 5 | 2, 4, 5 |\n| 6 | 0, 0, 3, 4, 5 |\n| 7 | 0, 3, 8 |\n| 8 | 0, 3, 4, 4, 6, 7 |" } ] }, { "id": "7335", "image": "7335.png", "conversations": [ { "from": "human", "question": "Eva counted the number of ducks at each pond in the city. What is the largest number of ducks?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 9.\n\nNow find the highest leaf in the last row. The highest leaf is 0.\n\nThe largest number of ducks has a stem of 9 and a leaf of 0. Write the stem first, then the leaf: 90.\n\nThe largest number of ducks is 90 ducks.", "answer": "90", "table": "**Ducks per pond**\n\n| Stem | Leaf |\n| --- | --- |\n| 0 | 9 |\n| 1 | |\n| 2 | 3 |\n| 3 | 4 |\n| 4 | |\n| 5 | 5 |\n| 6 | 6 |\n| 7 | 2 |\n| 8 | 0 |\n| 9 | 0 |" } ] }, { "id": "7336", "image": "7336.png", "conversations": [ { "from": "human", "question": "Brett has $147.44. How much money will Brett have left if he buys a pair of shoes and a pair of boots?\n" }, { "from": "gpt", "solution": "Find the total cost of a pair of shoes and a pair of boots.\n\n$27.71 + $43.10 = $70.81\n\nNow subtract the total cost from the starting amount.\n\n$147.44 - $70.81 = $76.63\n\nBrett will have $76.63 left.", "answer": "76.63", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pair of shorts | $19.69 |\n| pair of brown pants | $24.61 |\n| pair of boots | $43.10 |\n| pair of shoes | $27.71 |" } ] }, { "id": "7340", "image": "7340.png", "conversations": [ { "from": "human", "question": "Scarlett has $152.04. How much money will Scarlett have left if she buys a silver coat rack and a ceramic vase?\n" }, { "from": "gpt", "solution": "Find the total cost of a silver coat rack and a ceramic vase.\n\n$72.60 + $47.86 = $120.46\n\nNow subtract the total cost from the starting amount.\n\n$152.04 - $120.46 = $31.58\n\nScarlett will have $31.58 left.", "answer": "31.58", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| crystal sculpture | $76.03 |\n| chandelier | $79.79 |\n| silver coat rack | $72.60 |\n| oil painting | $75.46 |\n| ceramic vase | $47.86 |\n| crystal vase | $66.25 |" } ] }, { "id": "7341", "image": "7341.png", "conversations": [ { "from": "human", "question": "Kenneth tracked how many laps he ran in the past 6 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n5, 9, 5, 6, 6, 6\n\nFirst, find the greatest number. The greatest number is 9.\n\nNext, find the least number. The least number is 5.\n\nSubtract the least number from the greatest number:\n\n9 − 5 = 4\n\nThe range is 4.", "answer": "4", "table": "**Laps ran**\n\n| Day | Number of laps |\n| --- | --- |\n| Thursday | 5 |\n| Friday | 9 |\n| Saturday | 5 |\n| Sunday | 6 |\n| Monday | 6 |\n| Tuesday | 6 |" } ] }, { "id": "7344", "image": "7344.png", "conversations": [ { "from": "human", "question": "Dana has $939. How much money will Dana have left if she buys a microwave and a clothes dryer?\n" }, { "from": "gpt", "solution": "Find the total cost of a microwave and a clothes dryer.\n\n$104 + $235 = $339\n\nNow subtract the total cost from the starting amount.\n\n$939 - $339 = $600\n\nDana will have $600 left.", "answer": "600", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| microwave | $104 |\n| clothes dryer | $235 |\n| washing machine | $654 |\n| stove | $592 |\n| refrigerator | $686 |\n| oven | $488 |" } ] }, { "id": "7347", "image": "7347.png", "conversations": [ { "from": "human", "question": "A donut shop recorded how many donuts it sold in the past 4 days. On which day did the shop sell the fewest donuts?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 951.\n\nNow find the corresponding day. Monday corresponds to 951.", "answer": "Monday", "table": "**Donuts sold**\n\n| Day | Number of donuts |\n| --- | --- |\n| Saturday | 996 |\n| Sunday | 956 |\n| Monday | 951 |\n| Tuesday | 965 |" } ] }, { "id": "7351", "image": "7351.png", "conversations": [ { "from": "human", "question": "Each crate has 5 boxes of blueberries. How many boxes of blueberries are in 6 crates?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 30 boxes of blueberries in 6 crates.", "answer": "30", "table": "| Number of crates | Number of boxes of blueberries |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | 20 |\n| 5 | 25 |\n| 6 | ? |" } ] }, { "id": "7353", "image": "7353.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $530, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $530, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $380 | 20,000 | 7,500 |\n| $530 | 15,900 | 9,800 |\n| $680 | 11,800 | 12,100 |\n| $830 | 7,700 | 14,400 |\n| $980 | 3,600 | 16,700 |" } ] }, { "id": "7356", "image": "7356.png", "conversations": [ { "from": "human", "question": "A waitress kept track of how many hours she worked each day. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n2, 5, 7, 6, 4, 4\n\nFirst, find the greatest number. The greatest number is 7.\n\nNext, find the least number. The least number is 2.\n\nSubtract the least number from the greatest number:\n\n7 − 2 = 5\n\nThe range is 5.", "answer": "5", "table": "**Hours worked**\n\n| Day | Hours |\n| --- | --- |\n| Friday | 2 |\n| Saturday | 5 |\n| Sunday | 7 |\n| Monday | 6 |\n| Tuesday | 4 |\n| Wednesday | 4 |" } ] }, { "id": "7357", "image": "7357.png", "conversations": [ { "from": "human", "question": "An environmental agency examined how many trees were planted by different organizations. Which organization planted the fewest trees?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 223.\n\nNow find the corresponding organization. Let it Grow corresponds to 223.", "answer": "Let it Grow", "table": "**Trees planted**\n\n| Organization | Number of trees planted |\n| --- | --- |\n| Dreaming Green | 234 |\n| Let it Grow | 223 |\n| Plant It | 243 |\n| New Planet | 242 |" } ] }, { "id": "7358", "image": "7358.png", "conversations": [ { "from": "human", "question": "Jeffrey has $137.00. Does he have enough to buy a tarantula and a bearded dragon?\n" }, { "from": "gpt", "solution": "Add the price of a tarantula and the price of a bearded dragon:\n\n$42.77 + $89.45 = $132.22\n\n$132.22 is less than $137.00. Jeffrey does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| chinchilla | $57.27 |\n| hedgehog | $95.34 |\n| cockatoo | $11.44 |\n| tarantula | $42.77 |\n| bearded dragon | $89.45 |\n| pot-bellied pig | $70.74 |" } ] }, { "id": "7361", "image": "7361.png", "conversations": [ { "from": "human", "question": "Look at this table. Is this relation a function?\n" }, { "from": "gpt", "solution": "Look at the x-values in the table.\n\nThe x-value 7 is paired with multiple y-values, so the relation is not a function.", "answer": "no", "table": "| x | y |\n| --- | --- |\n| 18 | 2 |\n| 7 | 15 |\n| 7 | 16 |\n| 7 | 19 |" } ] }, { "id": "7367", "image": "7367.png", "conversations": [ { "from": "human", "question": "Henry buys 0.9 pounds of chicken sauce. How much does he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the chicken sauce. Multiply the price per pound by the number of pounds.\n$3 × 0.9 = $2.70\nHe spends $2.70.", "answer": "2.70", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| alfredo sauce | $6/pound |\n| tomato sauce | $7/pound |\n| beef sauce | $4/pound |\n| chicken sauce | $3/pound |" } ] }, { "id": "7371", "image": "7371.png", "conversations": [ { "from": "human", "question": "Each plate has 5 chocolate-chip cookies. How many chocolate-chip cookies are on 4 plates?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 20 chocolate-chip cookies on 4 plates.", "answer": "20", "table": "| Number of plates | Number of chocolate-chip cookies |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | ? |" } ] }, { "id": "7376", "image": "7376.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Tyrone just missed the 3.45 A.M. train at Skyscraper City. What time is the next train?\n" }, { "from": "gpt", "solution": "Find 3:45 A. M. in the row for Skyscraper City.\n\nLook for the next train in that row.\n\nThe next train is at 11:30 A. M.", "answer": "11:30 A.M.", "table": "**Train schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 |\n| --- | --- | --- | --- |\n| Pleasant River Campground | 2:30 A.M. | 10:15 A.M. | 12:00 A.M. |\n| Magician Village | 3:15 A.M. | 11:00 A.M. | 12:45 A.M. |\n| Skyscraper City | 3:45 A.M. | 11:30 A.M. | 1:15 A.M. |\n| Comfy Pillows Resort | 4:30 A.M. | 12:15 P.M. | 2:00 A.M. |\n| Happy Cow Farm | 5:00 A.M. | 12:45 P.M. | 2:30 A.M. |\n| Snowy Mountain | 6:00 A.M. | 1:45 P.M. | 3:30 A.M. |\n| Rocky Ravine Town | 6:30 A.M. | 2:15 P.M. | 4:00 A.M. |\n| City of Green Trees | 7:00 A.M. | 2:45 P.M. | 4:30 A.M. |" } ] }, { "id": "7379", "image": "7379.png", "conversations": [ { "from": "human", "question": "How much more does a trivia game cost than a board game?\n" }, { "from": "gpt", "solution": "Subtract the price of a board game from the price of a trivia game.\n\n$29.00 - $15.00 = $14.00\n\nA trivia game costs $14.00 more than a board game.", "answer": "14", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| board game | $15.00 |\n| boomerang | $14.00 |\n| trivia game | $29.00 |\n| video game | $35.00 |\n| model airplane | $20.00 |\n| red wagon | $16.00 |" } ] }, { "id": "7383", "image": "7383.png", "conversations": [ { "from": "human", "question": "At Sparrowtown Consulting, the head of human resources examined how the number of employees with health care benefits varied in response to policy changes. According to the table, what was the rate of change between 2017 and 2018?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{48 employees - 33 employees}{2018 - 2017}\n = \\frac{48 employees - 33 employees}{1 year}\n = \\frac{15 employees}{1 year}\n = 15 employees per year\nThe rate of change between 2017 and 2018 was 15 employees per year.", "answer": "15", "table": "**Employees with health care benefits**\n\n| Year | Employees |\n| --- | --- |\n| 2017 | 33 |\n| 2018 | 48 |\n| 2019 | 41 |\n| 2020 | 32 |\n| 2021 | 35 |" } ] }, { "id": "7392", "image": "7392.png", "conversations": [ { "from": "human", "question": "A newspaper researched how many grocery stores there are in each town. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n10, 7, 10, 5, 5, 10\n\nFirst, arrange the numbers from least to greatest:\n\n5, 5, 7, 10, 10, 10\n\nNow count how many times each number appears.\n\n5 appears 2 times.\n7 appears 1 time.\n10 appears 3 times.\n\nThe number that appears most often is 10.\n\nThe mode is 10.", "answer": "10", "table": "**Grocery stores in each town**\n\n| Town | Number of stores |\n| --- | --- |\n| Greenwood | 10 |\n| Richmond | 7 |\n| Chesterton | 10 |\n| Watertown | 5 |\n| Salem | 5 |\n| Marion | 10 |" } ] }, { "id": "7394", "image": "7394.png", "conversations": [ { "from": "human", "question": "Professor Avila released the results of yesterday's pop quiz. How many students scored exactly 65 points?\n" }, { "from": "gpt", "solution": "For the number 65, the stem is 6, and the leaf is 5. Find the row where the stem is 6. In that row, count all the leaves equal to 5.\n\nYou counted 1 leaf, which is blue in the stem-and-leaf plot above. 1 student scored exactly 65 points.", "answer": "1", "table": "**Pop quiz scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 6 |\n| 3 | 2, 7 |\n| 4 | 1, 3 |\n| 5 | 3, 5 |\n| 6 | 3, 4, 4, 5 |\n| 7 | 3, 4, 8 |\n| 8 | 4 |" } ] }, { "id": "7396", "image": "7396.png", "conversations": [ { "from": "human", "question": "A band from Bloomington went on tour over the summer, and each member chipped in for the cost of gas. What fraction of the gas money came from Harold? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how much money Harold contributed for gas.\n\n540\n\nFind how much money was contributed for gas in total.\n\n540 + 340 + 350 = 1,230\n\nDivide 540 by1,230.\n\n\\frac{540}{1,230}\n\nReduce the fraction.\n\n\\frac{540}{1,230} → \\frac{18}{41}\n\n\\frac{18}{41} of Find how much money Harold contributed for gas.", "answer": "18/41", "table": "**Band tour gas costs**\n\n| Band member | Contribution ($) |\n| --- | --- |\n| Harold | 540 |\n| Elise | 340 |\n| Ann | 350 |" } ] }, { "id": "7398", "image": "7398.png", "conversations": [ { "from": "human", "question": "The financial aid office at Tran University produced an internal report on the number of students receiving scholarships. According to the table, what was the rate of change between 2016 and 2017?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{30 students - 34 students}{2017 - 2016}\n = \\frac{30 students - 34 students}{1 year}\n = \\frac{-4 students}{1 year}\n = -4 students per year\nThe rate of change between 2016 and 2017 was - 4 students per year.", "answer": "-4", "table": "**Students receiving scholarships**\n\n| Year | Students |\n| --- | --- |\n| 2016 | 34 |\n| 2017 | 30 |\n| 2018 | 30 |\n| 2019 | 34 |\n| 2020 | 35 |" } ] }, { "id": "7407", "image": "7407.png", "conversations": [ { "from": "human", "question": "How much money does Zane need to buy a business desktop and a wide-screen desktop?\n" }, { "from": "gpt", "solution": "Add the price of a business desktop and the price of a wide-screen desktop:\n\n$8,409.00 + $5,151.00 = $13,560.00\n\nZane needs $13,560.00.", "answer": "13,560", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| business desktop | $8,409.00 |\n| wide-screen desktop | $5,151.00 |\n| high-tech laptop | $6,362.00 |\n| super desktop | $9,580.00 |" } ] }, { "id": "7412", "image": "7412.png", "conversations": [ { "from": "human", "question": "What is the total cost for 4.7 pounds of dirt?\n" }, { "from": "gpt", "solution": "Find the cost of the dirt. Multiply the price per pound by the number of pounds.\n$2 × 4.7 = $9.40\nThe total cost is $9.40.", "answer": "9.40", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| mulch | $4 per pound |\n| sand | $3 per pound |\n| cement | $4 per pound |\n| dirt | $2 per pound |\n| sawdust | $5 per pound |" } ] }, { "id": "7414", "image": "7414.png", "conversations": [ { "from": "human", "question": "In science class, Amanda is measuring the temperature of different chemical mixtures. The temperatures of two mixtures are shown in the table. Which mixture's temperature is closest to zero?\n" }, { "from": "gpt", "solution": "A positive number means the temperature is above zero. A negative number means the temperature is below zero.\nTo find the temperature closest to zero, use absolute value. The absolute value of a temperature tells you how far it is from zero.\nBromine mixture: |-4| = 4\nAcetone mixture: |5| = 5\nThe temperature of the bromine mixture is closest to zero. It is only 4 degrees below zero.", "answer": "bromine mixture", "table": "| Mixture | Temperature (°C) |\n| --- | --- |\n| Bromine mixture | -4 |\n| Acetone mixture | 5 |" } ] }, { "id": "7424", "image": "7424.png", "conversations": [ { "from": "human", "question": "How much would it cost to buy 2 pounds of catfish?\n" }, { "from": "gpt", "solution": "Find the cost of the catfish. Multiply the price per pound by the number of pounds.\n$8 × 2 = $16\nIt would cost $16.", "answer": "16", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| trout | $4 per pound |\n| catfish | $8 per pound |\n| salmon | $7 per pound |\n| tuna | $8 per pound |\n| tilapia | $4 per pound |\n| halibut | $7 per pound |" } ] }, { "id": "7430", "image": "7430.png", "conversations": [ { "from": "human", "question": "Principal Russell reported the state test scores from some students at his school. What is the lowest score?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 3.\n\nNow find the lowest leaf in the first row. The lowest leaf is 1.\n\nThe lowest score has a stem of 3 and a leaf of 1. Write the stem first, then the leaf: 31.\n\nThe lowest score is 31 points.", "answer": "31", "table": "**Test scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 1, 6, 6 |\n| 4 | 0, 1, 4, 9, 9 |\n| 5 | 2, 2 |\n| 6 | 1, 6, 8 |\n| 7 | 0, 6, 7, 8, 9 |\n| 8 | 1, 1, 2, 2, 5, 6, 8 |" } ] }, { "id": "7432", "image": "7432.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which meeting begins at 9.10 A.M.?\n" }, { "from": "gpt", "solution": "Find 9:10 A. M. on the schedule. The construction permit meeting begins at 9:10 A. M.", "answer": "construction permit meeting", "table": "**City government schedule**\n\n| Meeting | Begin | End |\n| --- | --- | --- |\n| construction permit meeting | 9:10 A.M. | 10:50 A.M. |\n| planning department meeting | 10:40 A.M. | 11:35 A.M. |\n| transportation meeting | 11:40 A.M. | 12:30 P.M. |\n| parks department meeting | 12:15 P.M. | 1:50 P.M. |\n| parking meter meeting | 2:30 P.M. | 3:45 P.M. |" } ] }, { "id": "7446", "image": "7446.png", "conversations": [ { "from": "human", "question": "Gina found a list of the number of roller coasters at each amusement park in the state. How many amusement parks have exactly 3 roller coasters?\n" }, { "from": "gpt", "solution": "For the number 3, the stem is 0, and the leaf is 3. Find the row where the stem is 0. In that row, count all the leaves equal to 3.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 amusement parks have exactly 3 roller coasters.", "answer": "2", "table": "**Roller coasters per amusement park**\n\n| Stem | Leaf |\n| --- | --- |\n| 0 | 3, 3, 6, 8, 9 |\n| 1 | 3, 5, 6, 7 |\n| 2 | 4, 5 |\n| 3 | 0, 1, 2 |" } ] }, { "id": "7448", "image": "7448.png", "conversations": [ { "from": "human", "question": "The parks department compared how many basketball hoops there are at each park. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n4, 8, 3, 1, 2, 4, 4, 6\n\nFirst, count how many numbers are in the group.\n\nThere are 8 numbers.\n\nNow add all the numbers together:\n\n4 + 8 + 3 + 1 + 2 + 4 + 4 + 6 = 32\n\nNow divide the sum by the number of numbers:\n\n32 ÷ 8 = 4\n\nThe mean is 4.", "answer": "4", "table": "**Basketball hoops**\n\n| Park | Number of basketball hoops |\n| --- | --- |\n| Otter Park | 4 |\n| Crestview Park | 8 |\n| Pinehurst Park | 3 |\n| Westfield Park | 1 |\n| Mooreland Park | 2 |\n| Linden Park | 4 |\n| Riverfront Park | 4 |\n| Kelly Park | 6 |" } ] }, { "id": "7453", "image": "7453.png", "conversations": [ { "from": "human", "question": "Professor Wiley informed his students of their scores on the midterm exam. How many students scored at least 20 points but fewer than 90 points?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 2, 3, 4, 5, 6, 7, and 8.\n\nYou counted 18 leaves, which are blue in the stem-and-leaf plot above. 18 students scored at least 20 points but fewer than 90 points.", "answer": "18", "table": "**Midterm exam scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 2, 4 |\n| 3 | 2, 9 |\n| 4 | 1, 7 |\n| 5 | 3, 4, 6, 7 |\n| 6 | 0, 1, 2, 7 |\n| 7 | 0 |\n| 8 | 1, 4, 9 |" } ] }, { "id": "7455", "image": "7455.png", "conversations": [ { "from": "human", "question": "An administrator at the Department of Motor Vehicles (DMV) tracked the average wait time from month to month. According to the table, what was the rate of change between March and April?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{12 minutes - 13 minutes}{1 month}\n = \\frac{-1 minutes}{1 month}\n = -1 minutes per month\nThe rate of change between March and April was - 1 minutes per month.", "answer": "-1", "table": "**Average waiting time at the DMV**\n\n| Month | Waiting time (minutes) |\n| --- | --- |\n| February | 16 |\n| March | 13 |\n| April | 12 |\n| May | 11 |\n| June | 14 |" } ] }, { "id": "7465", "image": "7465.png", "conversations": [ { "from": "human", "question": "A pair of Union High School hockey fans counted the number of games won by the school each year. According to the table, what was the rate of change between 2009 and 2010?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{20 games - 20 games}{2010 - 2009}\n = \\frac{20 games - 20 games}{1 year}\n = \\frac{0 games}{1 year}\n = 0 games per year\nThe rate of change between 2009 and 2010 was 0 games per year.", "answer": "0", "table": "**Hockey games won by Union High**\n\n| Year | Games won |\n| --- | --- |\n| 2007 | 13 |\n| 2008 | 10 |\n| 2009 | 20 |\n| 2010 | 20 |\n| 2011 | 12 |" } ] }, { "id": "7466", "image": "7466.png", "conversations": [ { "from": "human", "question": "Emmett has $172.00. Does he have enough to buy a silver coat rack and a crystal sculpture?\n" }, { "from": "gpt", "solution": "Add the price of a silver coat rack and the price of a crystal sculpture:\n\n$88.00 + $85.00 = $173.00\n\n$173.00 is more than $172.00. Emmett does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| silver coat rack | $88.00 |\n| crystal sculpture | $85.00 |\n| crystal vase | $51.00 |\n| chandelier | $50.00 |" } ] }, { "id": "7470", "image": "7470.png", "conversations": [ { "from": "human", "question": "The local high school found out how many members each club had. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n41, 40, 38, 42, 37, 44, 39\n\nFirst, arrange the numbers from least to greatest:\n\n37, 38, 39, 40, 41, 42, 44\n\nNow find the number in the middle.\n\n37, 38, 39, 40, 41, 42, 44\n\nThe number in the middle is 40.\n\nThe median is 40.", "answer": "40", "table": "**Club membership**\n\n| Club | Number of members |\n| --- | --- |\n| drama club | 41 |\n| speech club | 40 |\n| art club | 38 |\n| film club | 42 |\n| Japanese club | 37 |\n| Spanish club | 44 |\n| history club | 39 |" } ] }, { "id": "7482", "image": "7482.png", "conversations": [ { "from": "human", "question": "How much money does Wyatt need to buy 9 orders of pasta with pesto sauce and 2 pepperoni pizzas?\n" }, { "from": "gpt", "solution": "Find the cost of 9 orders of pasta with pesto sauce.\n\n$7.59 × 9 = $68.31\n\nFind the cost of 2 pepperoni pizzas.\n\n$6.98 × 2 = $13.96\n\nNow find the total cost.\n\n$68.31 + $13.96 = $82.27\n\nWyatt needs $82.27.", "answer": "82.27", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pasta with pesto sauce | $7.59 |\n| pasta with tomato sauce | $9.50 |\n| grilled steak | $9.41 |\n| pepperoni pizza | $6.98 |\n| pasta with mushrooms | $5.75 |" } ] }, { "id": "7488", "image": "7488.png", "conversations": [ { "from": "human", "question": "The city recorded how many fire hydrants there are on each street. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 5, 4, 4, 6, 5, 7\n\nFirst, arrange the numbers from least to greatest:\n\n4, 4, 5, 5, 6, 6, 7\n\nNow find the number in the middle.\n\n4, 4, 5, 5, 6, 6, 7\n\nThe number in the middle is 5.\n\nThe median is 5.", "answer": "5", "table": "**Fire hydrants**\n\n| Street | Number of hydrants |\n| --- | --- |\n| Maple Street | 6 |\n| Cedar Street | 5 |\n| Fir Street | 4 |\n| Oak Street | 4 |\n| Pine Street | 6 |\n| Rose Street | 5 |\n| Aspen Street | 7 |" } ] }, { "id": "7493", "image": "7493.png", "conversations": [ { "from": "human", "question": "For an assignment, Annie looked at which countries got the most Nobel Prizes in various decades. How many Nobel Prize winners did Germany have in the 1980s?\n" }, { "from": "gpt", "solution": "First, find the row for Germany. Then find the number in the 1980 s column.\n\nThis number is 11. Germany had 11 Nobel Prize winners in the 1980 s.", "answer": "11", "table": "**Nobel Prize winners**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 1980s | 1990s |\n| Germany | 11 | 7 |\n| Russia | 1 | 1 |\n| Canada | 3 | 8 |\n| France | 5 | 3 |\n| Japan | 2 | 1 |" } ] }, { "id": "7496", "image": "7496.png", "conversations": [ { "from": "human", "question": "The staff of a game show tracked the performance of all the contestants during the past season. How many people scored at least 34 points but fewer than 43 points?\n" }, { "from": "gpt", "solution": "Find the row with stem 3. Count all the leaves greater than or equal to 4.\n\nIn the row with stem 4, count all the leaves less than 3.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plots above. 4 people scored at least 34 points but fewer than 43 points.", "answer": "4", "table": "**Game show scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 1, 2, 4, 7, 9 |\n| 4 | 2, 6, 7, 7 |\n| 5 | 2, 2, 5, 7, 8 |\n| 6 | 2, 4, 6, 7, 8 |" } ] }, { "id": "7497", "image": "7497.png", "conversations": [ { "from": "human", "question": "Pedro counted the number of ducks at each pond in the city. How many ponds had fewer than 70 ducks?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 3, 4, 5, and 6.\n\nYou counted 10 leaves, which are blue in the stem-and-leaf plot above. 10 ponds had fewer than 70 ducks.", "answer": "10", "table": "**Ducks per pond**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 7 |\n| 4 | 0, 5 |\n| 5 | 5, 5, 8, 9 |\n| 6 | 1, 5, 8 |" } ] }, { "id": "7501", "image": "7501.png", "conversations": [ { "from": "human", "question": "Kendrick kept a log of how many pages he read each month. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n71, 72, 68, 68, 71, 72, 72\n\nFirst, arrange the numbers from least to greatest:\n\n68, 68, 71, 71, 72, 72, 72\n\nNow count how many times each number appears.\n\n68 appears 2 times.\n71 appears 2 times.\n72 appears 3 times.\n\nThe number that appears most often is 72.\n\nThe mode is 72.", "answer": "72", "table": "**Pages read**\n\n| Month | Number of pages |\n| --- | --- |\n| January | 71 |\n| February | 72 |\n| March | 68 |\n| April | 68 |\n| May | 71 |\n| June | 72 |\n| July | 72 |" } ] }, { "id": "7505", "image": "7505.png", "conversations": [ { "from": "human", "question": "If Joel buys 5 pounds of large binder clips and 2 pounds of standard paper clips, how much will he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the large binder clips. Multiply:\n\n$5.31 × 5 = $26.55\n\nFind the cost of the standard paper clips. Multiply:\n\n$4.39 × 2 = $8.78\n\nNow find the total cost by adding:\n\n$26.55 + $8.78 = $35.33\n\nHe will spend $35.33.", "answer": "35.33", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| standard paper clips | $4.39/lb |\n| small binder clips | $4.37/lb |\n| colored paper clips | $5.20/lb |\n| large binder clips | $5.31/lb |\n| medium binder clips | $4.25/lb |" } ] }, { "id": "7508", "image": "7508.png", "conversations": [ { "from": "human", "question": "Lillian counted the pages in each book on her English class's required reading list. How many books had at least 60 pages but less than 80 pages?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 6 and 7.\n\nYou counted 5 leaves, which are blue in the stem-and-leaf plot above. 5 books had at least 60 pages but less than 80 pages.", "answer": "5", "table": "**Pages per book**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 2, 5, 8 |\n| 5 | 0, 1, 2, 2, 3, 6 |\n| 6 | 3, 5, 7 |\n| 7 | 7, 9 |\n| 8 | 1, 6 |\n| 9 | 0 |" } ] }, { "id": "7511", "image": "7511.png", "conversations": [ { "from": "human", "question": "Worried about going over her storage limit, Jayla monitored the number of undeleted voicemail messages stored on her phone each day. According to the table, what was the rate of change between Sunday and Monday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{17 voicemail messages - 18 voicemail messages}{1 day}\n = \\frac{-1 voicemail messages}{1 day}\n = -1 voicemail messages per day\nThe rate of change between Sunday and Monday was - 1 voicemail messages per day.", "answer": "-1", "table": "**Voicemail messages on Jayla's phone**\n\n| Day | Voicemail messages |\n| --- | --- |\n| Sunday | 18 |\n| Monday | 17 |\n| Tuesday | 13 |\n| Wednesday | 15 |\n| Thursday | 8 |" } ] }, { "id": "7512", "image": "7512.png", "conversations": [ { "from": "human", "question": "A cookie factory monitored the number of broken cookies per pack yesterday. How many packs had at least 30 broken cookies?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 3, 4, 5, 6, 7, 8, and 9.\n\nYou counted 23 leaves, which are blue in the stem-and-leaf plot above. 23 packs had at least 30 broken cookies.", "answer": "23", "table": "**Broken cookies per pack**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 6 |\n| 2 | 9 |\n| 3 | 3 |\n| 4 | 0, 3, 5 |\n| 5 | 0, 2, 6, 7, 8 |\n| 6 | 0, 7, 8 |\n| 7 | 1, 4, 6, 6, 7 |\n| 8 | 0, 3, 4, 4, 9 |\n| 9 | 0 |" } ] }, { "id": "7535", "image": "7535.png", "conversations": [ { "from": "human", "question": "Luke's classmates revealed how many science articles they read. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n10, 2, 10, 2, 6\n\nFirst, arrange the numbers from least to greatest:\n\n2, 2, 6, 10, 10\n\nNow find the number in the middle.\n\n2, 2, 6, 10, 10\n\nThe number in the middle is 6.\n\nThe median is 6.", "answer": "6", "table": "**Science articles read**\n\n| Name | Number of science articles |\n| --- | --- |\n| Luke | 10 |\n| Caden | 2 |\n| Duncan | 10 |\n| Evan | 2 |\n| Sam | 6 |" } ] }, { "id": "7543", "image": "7543.png", "conversations": [ { "from": "human", "question": "A real estate agent counted the number of offices per floor in the building he is selling. What is the smallest number of offices?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 2.\n\nNow find the lowest leaf in the first row. The lowest leaf is 0.\n\nThe smallest number of offices has a stem of 2 and a leaf of 0. Write the stem first, then the leaf: 20.\n\nThe smallest number of offices is 20 offices.", "answer": "20", "table": "**Offices per floor**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 0, 1, 6, 7 |\n| 3 | 0, 2, 5, 9 |\n| 4 | 5 |\n| 5 | 8 |\n| 6 | 3, 5, 5, 9 |" } ] }, { "id": "7548", "image": "7548.png", "conversations": [ { "from": "human", "question": "This morning, Mr. Goodman released the scores from last week's spelling test. What is the lowest score?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 1.\n\nNow find the lowest leaf in the first row. The lowest leaf is 7.\n\nThe lowest score has a stem of 1 and a leaf of 7. Write the stem first, then the leaf: 17.\n\nThe lowest score is 17 points.", "answer": "17", "table": "**Spelling test scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 7 |\n| 2 | 0, 5 |\n| 3 | |\n| 4 | 0, 2, 6, 9 |" } ] }, { "id": "7553", "image": "7553.png", "conversations": [ { "from": "human", "question": "Dr. Hoover, a pediatrician, weighed all the children who recently visited her office. How many children weighed exactly 69 pounds?\n" }, { "from": "gpt", "solution": "For the number 69, the stem is 6, and the leaf is 9. Find the row where the stem is 6. In that row, count all the leaves equal to 9.\n\nYou counted 0 leaves. 0 children weighed exactly 69 pounds.", "answer": "0", "table": "**Children's weights (lbs)**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 2 |\n| 4 | 1 |\n| 5 | 5, 6 |\n| 6 | 5 |\n| 7 | 6, 7 |\n| 8 | 2, 4, 5, 8 |" } ] }, { "id": "7556", "image": "7556.png", "conversations": [ { "from": "human", "question": "The week of his birthday, Kenneth paid attention to how many pieces of mail he received each day. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n3, 2, 5, 8, 2\n\nFirst, arrange the numbers from least to greatest:\n\n2, 2, 3, 5, 8\n\nNow find the number in the middle.\n\n2, 2, 3, 5, 8\n\nThe number in the middle is 3.\n\nThe median is 3.", "answer": "3", "table": "**Pieces of mail received**\n\n| Day | Number of pieces of mail |\n| --- | --- |\n| Tuesday | 3 |\n| Wednesday | 2 |\n| Thursday | 5 |\n| Friday | 8 |\n| Saturday | 2 |" } ] }, { "id": "7562", "image": "7562.png", "conversations": [ { "from": "human", "question": "An Idaho farmer has been monitoring crop prices over time. Per cwt, how much did onions cost in 2004?\n" }, { "from": "gpt", "solution": "First, find the row for onions. Then find the number in the 2004 column.\n\nThis number is $7.00. In 2004, onions cost $7 per cwt.", "answer": "7", "table": "**Idaho crop prices per cwt**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Crop | 2003 | 2004 |\n| Canola | $10 | $11 |\n| Lentils | $18 | $14 |\n| Onions | $11 | $7 |\n| Apples | $20 | $12 |" } ] }, { "id": "7568", "image": "7568.png", "conversations": [ { "from": "human", "question": "How much money does Jake need to buy a basketball ticket and a golf ticket?\n" }, { "from": "gpt", "solution": "Add the price of a basketball ticket and the price of a golf ticket:\n\n$26.18 + $84.70 = $110.88\n\nJake needs $110.88.", "answer": "110.88", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| tennis ticket | $20.63 |\n| basketball ticket | $26.18 |\n| golf ticket | $84.70 |\n| hockey ticket | $46.44 |" } ] }, { "id": "7569", "image": "7569.png", "conversations": [ { "from": "human", "question": "A real estate agent looked into how many houses were sold in different cities. How many more houses were sold in New Hamburg than in Parville?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nNew Hamburg: 548\nParville: 432\n\nNow subtract: 548 - 432 = 116.\n\n116 more houses were sold in New Hamburg than in Parville.", "answer": "116", "table": "**House sales**\n\n| City | Number of houses sold |\n| --- | --- |\n| Liberty City | 718 |\n| Parville | 432 |\n| Fremont | 181 |\n| New Hamburg | 548 |\n| Charles Falls | 870 |" } ] }, { "id": "7573", "image": "7573.png", "conversations": [ { "from": "human", "question": "For an economics project, Shane determined the cost of ferry rides for bicycles and cars. Which charges more for a car, the Seattle-Bremerton ferry or the Southport-Fort Fisher ferry?\n" }, { "from": "gpt", "solution": "Find the Car column. Compare the numbers in this column for Seattle-Bremerton and Southport-Fort Fisher.\n\n$12.00 is more than $5.00. The Seattle-Bremerton ferry charges more for a car.", "answer": "Seattle-Bremerton", "table": "**Ferry fares**\n\n| Ferry | Car | Bicycle |\n| --- | --- | --- |\n| Southport-Fort Fisher | $5 | $2 |\n| Fauntleroy-Vashon | $15 | $5 |\n| Seattle-Bremerton | $12 | $8 |" } ] }, { "id": "7578", "image": "7578.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does the train depart from Gecko Paradise?\n" }, { "from": "gpt", "solution": "Find Gecko Paradise on the schedule. Find the departure time for Gecko Paradise.\n\nGecko Paradise: 1:45 A. M.", "answer": "1:45 A.M.", "table": "**Train schedule**\n\n| Location | Arrive | Depart |\n| --- | --- | --- |\n| Magician Village | 5:50 P.M. | 6:15 P.M. |\n| Rollercoaster Land | 6:45 P.M. | 7:10 P.M. |\n| Rocky Ravine Town | 8:05 P.M. | 8:25 P.M. |\n| Floral Gardens | 9:15 P.M. | 9:25 P.M. |\n| Snowy Mountain | 10:00 P.M. | 10:30 P.M. |\n| Comfy Pillows Resort | 11:00 P.M. | 11:30 P.M. |\n| Pleasant River Campground | 12:00 A.M. | 12:25 A.M. |\n| Gecko Paradise | 1:15 A.M. | 1:45 A.M. |" } ] }, { "id": "7582", "image": "7582.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{7 - 2}{11 - 10}\n = \\frac{5}{1}\n = 5\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{17 - 2}{12 - 10}\n = \\frac{15}{2}\n = 7\\frac{1}{2}\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 10 | 2 |\n| 11 | 7 |\n| 12 | 17 |" } ] }, { "id": "7602", "image": "7602.png", "conversations": [ { "from": "human", "question": "Lena is looking at the price of new cell phones online. Her favorite company, OrangeTech, has a special this weekend. Lena can add an upgrade to a phone for an additional cost, or she can buy a used phone to get a discount. The change in price for each option is shown in the table. Which option results in a greater change in price?\n" }, { "from": "gpt", "solution": "To find the option that results in a greater change in price, use absolute value. Absolute value tells you how much the price changes.\nAdd an upgrade: |$60| = $60\nBuy a used phone: |-$75| = $75\nBuying a used phone results in a greater change in price. It reduces the price by $75.", "answer": "buying a used phone", "table": "| Option | Change in phone price |\n| --- | --- |\n| Add an upgrade | $60 |\n| Buy a used phone | -$75 |" } ] }, { "id": "7603", "image": "7603.png", "conversations": [ { "from": "human", "question": "An archer recalled how many times he hit the bull's-eye in the past 7 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n2, 1, 2, 18, 6, 3, 15\n\nFirst, arrange the numbers from least to greatest:\n\n1, 2, 2, 3, 6, 15, 18\n\nNow find the number in the middle.\n\n1, 2, 2, 3, 6, 15, 18\n\nThe number in the middle is 3.\n\nThe median is 3.", "answer": "3", "table": "**Bull's-eyes**\n\n| Day | Number of bull's-eyes |\n| --- | --- |\n| Wednesday | 2 |\n| Thursday | 1 |\n| Friday | 2 |\n| Saturday | 18 |\n| Sunday | 6 |\n| Monday | 3 |\n| Tuesday | 15 |" } ] }, { "id": "7605", "image": "7605.png", "conversations": [ { "from": "human", "question": "Terrell purchased 3 pounds of blanched peanuts and 4 pounds of honey roasted peanuts. What was the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the blanched peanuts. Multiply:\n\n$3.56 × 3 = $10.68\n\nFind the cost of the honey roasted peanuts. Multiply:\n\n$3.24 × 4 = $12.96\n\nNow find the total cost by adding:\n\n$10.68 + $12.96 = $23.64\n\nThe total cost was $23.64.", "answer": "23.64", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| blanched peanuts | $3.56/lb |\n| salted peanuts | $1.30/lb |\n| unsalted peanuts | $2.10/lb |\n| honey roasted peanuts | $3.24/lb |" } ] }, { "id": "7614", "image": "7614.png", "conversations": [ { "from": "human", "question": "After a census, 3 nearby towns compared their populations. How many more people live in Flat Plains than in Hilly Town?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nFlat Plains: 555\nHilly Town: 149\n\nNow subtract: 555 - 149 = 406.\n\n406 more people live in Flat Plains.", "answer": "406", "table": "**Town populations**\n\n| Town | Population |\n| --- | --- |\n| Ridge Crest | 818 |\n| Hilly Town | 149 |\n| Flat Plains | 555 |" } ] }, { "id": "7625", "image": "7625.png", "conversations": [ { "from": "human", "question": "Dr. Brennan, a zoo director, researched ticket prices at other zoos around the country. How much does a child ticket to the Southern Nevada Zoo cost?\n" }, { "from": "gpt", "solution": "First, find the row for Southern Nevada. Then find the number in the Child column.\n\nThis number is $6.00. A child ticket to the Southern Nevada Zoo cost $6.", "answer": "6", "table": "**Zoo ticket prices**\n\n| Zoo | Adult | Child |\n| --- | --- | --- |\n| Atlanta | $19 | $14 |\n| Bronx | $15 | $11 |\n| Southern Nevada | $8 | $6 |" } ] }, { "id": "7635", "image": "7635.png", "conversations": [ { "from": "human", "question": "A front desk clerk looked up how many guests the hotel had each day. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n37, 26, 36, 33, 37, 37, 29\n\nFirst, arrange the numbers from least to greatest:\n\n26, 29, 33, 36, 37, 37, 37\n\nNow find the number in the middle.\n\n26, 29, 33, 36, 37, 37, 37\n\nThe number in the middle is 36.\n\nThe median is 36.", "answer": "36", "table": "**Hotel guests**\n\n| Day | Number of guests |\n| --- | --- |\n| Wednesday | 37 |\n| Thursday | 26 |\n| Friday | 36 |\n| Saturday | 33 |\n| Sunday | 37 |\n| Monday | 37 |\n| Tuesday | 29 |" } ] }, { "id": "7645", "image": "7645.png", "conversations": [ { "from": "human", "question": "Rob has $2.00. Does he have enough to buy a can of tuna fish and a can of green beans?\n" }, { "from": "gpt", "solution": "Add the price of a can of tuna fish and the price of a can of green beans:\n\n$1.01 + $1.17 = $2.18\n\n$2.18 is more than $2.00. Rob does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| can of tuna fish | $1.01 |\n| jar of cherries | $4.68 |\n| can of green beans | $1.17 |\n| can of cranberry sauce | $3.18 |" } ] }, { "id": "7648", "image": "7648.png", "conversations": [ { "from": "human", "question": "Every afternoon, Isabella enjoys a cup of hot tea in one of her many teacups. Once, Isabella counted all the teacups in her collection, noting their colors and size. What is the probability that a randomly selected cup is small and yellow? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the cup is small\" and B be the event \"the cup is yellow\".\nTo find the probability that a cup is small and yellow, first identify the sample space and the event.\nThe outcomes in the sample space are the different cups. Each cup is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the cup is small and yellow\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the cup is small and yellow\", so look at the table to see how many cups are small and yellow.\nThe number of cups that are small and yellow is 5.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of cups.\n5 + 2 + 5 + 5 = 17\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{5}{17}\nThe probability that a cup is small and yellow is \\frac{5}{17}.", "answer": "5/17", "table": "| | Green | Yellow |\n| --- | --- | --- |\n| Small | 5 | 5 |\n| Medium | 2 | 5 |" } ] }, { "id": "7651", "image": "7651.png", "conversations": [ { "from": "human", "question": "The local high school found out how many members each club had. Which club has the fewest members?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 113.\n\nNow find the corresponding club. History club corresponds to 113.", "answer": "history club", "table": "**Club membership**\n\n| Club | Number of members |\n| --- | --- |\n| history club | 113 |\n| speech club | 123 |\n| geology club | 132 |\n| math club | 121 |" } ] }, { "id": "7656", "image": "7656.png", "conversations": [ { "from": "human", "question": "Wyatt has $1.00. Does he have enough to buy a mountain postcard and an airplane stamp?\n" }, { "from": "gpt", "solution": "Add the price of a mountain postcard and the price of an airplane stamp:\n\n$0.48 + $0.31 = $0.79\n\n$0.79 is less than $1.00. Wyatt does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| airplane stamp | $0.31 |\n| mountain postcard | $0.48 |\n| deer postcard | $0.40 |\n| bird postcard | $0.38 |\n| large yellow envelope | $0.59 |\n| coyote stamp | $0.19 |" } ] }, { "id": "7657", "image": "7657.png", "conversations": [ { "from": "human", "question": "Hazel bought 2 pounds of peanuts, 2 pounds of macadamia nuts, and 3 pounds of chestnuts. How much did she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the peanuts. Multiply:\n\n$6 × 2 = $12\n\nFind the cost of the macadamia nuts. Multiply:\n\n$10 × 2 = $20\n\nFind the cost of the chestnuts. Multiply:\n\n$7 × 3 = $21\n\nNow find the total cost by adding:\n\n$12 + $20 + $21 = $53\n\nShe spent $53.", "answer": "53", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| chestnuts | $7/pound |\n| peanuts | $6/pound |\n| pine nuts | $5/pound |\n| pistachios | $12/pound |\n| macadamia nuts | $10/pound |" } ] }, { "id": "7662", "image": "7662.png", "conversations": [ { "from": "human", "question": "Allie graphed the amount of snow that fell in the last 7 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n0, 4, 2, 1, 1, 2, 2\n\nFirst, arrange the numbers from least to greatest:\n\n0, 1, 1, 2, 2, 2, 4\n\nNow find the number in the middle.\n\n0, 1, 1, 2, 2, 2, 4\n\nThe number in the middle is 2.\n\nThe median is 2.", "answer": "2", "table": "**Daily snowfall**\n\n| Day | Snowfall (inches) |\n| --- | --- |\n| Wednesday | 0 |\n| Thursday | 4 |\n| Friday | 2 |\n| Saturday | 1 |\n| Sunday | 1 |\n| Monday | 2 |\n| Tuesday | 2 |" } ] }, { "id": "7663", "image": "7663.png", "conversations": [ { "from": "human", "question": "Kimi looked at her calendar to figure out how much time she spent babysitting each month. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n3, 8, 2, 4, 3, 6, 9\n\nFirst, arrange the numbers from least to greatest:\n\n2, 3, 3, 4, 6, 8, 9\n\nNow find the number in the middle.\n\n2, 3, 3, 4, 6, 8, 9\n\nThe number in the middle is 4.\n\nThe median is 4.", "answer": "4", "table": "**Hours of babysitting**\n\n| Month | Hours |\n| --- | --- |\n| September | 3 |\n| October | 8 |\n| November | 2 |\n| December | 4 |\n| January | 3 |\n| February | 6 |\n| March | 9 |" } ] }, { "id": "7674", "image": "7674.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which activity begins at 11.50 A.M.?\n" }, { "from": "gpt", "solution": "Find 11:50 A. M. on the schedule. The children's class begins at 11:50 A. M.", "answer": "children's class", "table": "**Skating rink schedule**\n\n| Activity | Begin | End |\n| --- | --- | --- |\n| private class | 7:15 A.M. | 9:00 A.M. |\n| adult class | 9:15 A.M. | 10:55 A.M. |\n| figure skating practice | 11:10 A.M. | 11:45 A.M. |\n| children's class | 11:50 A.M. | 1:15 P.M. |\n| figure skating show | 1:25 P.M. | 2:50 P.M. |\n| free skate | 2:55 P.M. | 4:25 P.M. |" } ] }, { "id": "7676", "image": "7676.png", "conversations": [ { "from": "human", "question": "The librarian at the public library counted the number of books on each shelf. How many shelves have at least 40 books but fewer than 80 books?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 4, 5, 6, and 7.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 shelves have at least 40 books but fewer than 80 books.", "answer": "3", "table": "**Books per shelf**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 0, 1, 3 |\n| 4 | |\n| 5 | |\n| 6 | |\n| 7 | 3, 4, 6 |" } ] }, { "id": "7693", "image": "7693.png", "conversations": [ { "from": "human", "question": "Look at this table. Is this relation a function?\n" }, { "from": "gpt", "solution": "Look at the x-values in the table.\n\nThe x-value 0 is paired with multiple y-values, so the relation is not a function.", "answer": "no", "table": "| x | y |\n| --- | --- |\n| 0 | 3 |\n| 0 | 5 |\n| 14 | 9 |" } ] }, { "id": "7695", "image": "7695.png", "conversations": [ { "from": "human", "question": "A girl compared the ages of her cousins. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 7, 1, 2, 1, 4\n\nFirst, find the greatest number. The greatest number is 7.\n\nNext, find the least number. The least number is 1.\n\nSubtract the least number from the greatest number:\n\n7 − 1 = 6\n\nThe range is 6.", "answer": "6", "table": "**Ages of cousins**\n\n| Name | Age (years) |\n| --- | --- |\n| Charlotte | 6 |\n| Juan | 7 |\n| Maddie | 1 |\n| Braden | 2 |\n| Samir | 1 |\n| Kiera | 4 |" } ] }, { "id": "7701", "image": "7701.png", "conversations": [ { "from": "human", "question": "How much money does Chloe need to buy 9 pear tarts?\n" }, { "from": "gpt", "solution": "Find the total cost of 9 pear tarts by multiplying 9 times the price of a pear tart.\n\n$22.52 × 9 = $202.68\n\nChloe needs $202.68.", "answer": "202.68", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| strawberry cheesecake | $26.35 |\n| pear tart | $22.52 |\n| coconut cake | $21.27 |\n| pecan pie | $12.19 |\n| pumpkin pie | $12.37 |" } ] }, { "id": "7704", "image": "7704.png", "conversations": [ { "from": "human", "question": "How much money does Brody need to buy a crystal vase, a crystal sculpture, and a ceramic vase?\n" }, { "from": "gpt", "solution": "Find the total cost of a crystal vase, a crystal sculpture, and a ceramic vase.\n\n$60.34 + $70.50 + $77.87 = $208.71\n\nBrody needs $208.71.", "answer": "208.71", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| chandelier | $86.17 |\n| crystal sculpture | $70.50 |\n| lamp | $91.45 |\n| silver coat rack | $56.81 |\n| ceramic vase | $77.87 |\n| crystal vase | $60.34 |" } ] }, { "id": "7705", "image": "7705.png", "conversations": [ { "from": "human", "question": "In science class, Karen is learning about places with extreme temperatures. She learns that the highest temperature ever recorded was in Death Valley, California. She also learns that the lowest temperature ever recorded was in Vostok Station, Antarctica. The record-setting temperatures of the two locations are shown in the table. Which location's temperature was further from zero?\n" }, { "from": "gpt", "solution": "A positive number means the temperature was above zero. A negative number means the temperature was below zero.\nTo find which temperature was further from zero, use absolute value. Absolute value tells you how far a temperature is from zero.\nDeath Valley: |134| = 134\nVostok Station: |-128| = 128\nThe temperature of Death Valley was further from zero. It was 134 degrees above zero.", "answer": "Death Valley", "table": "| Location | Temperature (°F) |\n| --- | --- |\n| Death Valley | 134 |\n| Vostok Station | -128 |" } ] }, { "id": "7711", "image": "7711.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which class ends at 11.40 A.M.?\n" }, { "from": "gpt", "solution": "Find 11:40 A. M. on the schedule. Swimming class ends at 11:40 A. M.", "answer": "Swimming class", "table": "**Gym teacher's schedule**\n\n| Class | Begin | End |\n| --- | --- | --- |\n| Aerobics | 9:50 A.M. | 10:25 A.M. |\n| Swimming | 10:40 A.M. | 11:40 A.M. |\n| Ballet | 11:55 A.M. | 1:00 P.M. |\n| Basketball | 1:15 P.M. | 2:05 P.M. |\n| Softball | 2:10 P.M. | 3:40 P.M. |" } ] }, { "id": "7713", "image": "7713.png", "conversations": [ { "from": "human", "question": "Ms. Coleman reported her students' scores on the most recent quiz. What is the highest score?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 9.\n\nNow find the highest leaf in the last row. The highest leaf is 0.\n\nThe highest score has a stem of 9 and a leaf of 0. Write the stem first, then the leaf: 90.\n\nThe highest score is 90 points.", "answer": "90", "table": "**Quiz scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 3 |\n| 2 | |\n| 3 | |\n| 4 | 0, 2 |\n| 5 | 0, 2, 3, 7 |\n| 6 | 7, 8 |\n| 7 | 9 |\n| 8 | 5 |\n| 9 | 0 |" } ] }, { "id": "7720", "image": "7720.png", "conversations": [ { "from": "human", "question": "Martha's class tracked how many newspapers each student collected for their recycling project. Who collected the fewest newspapers?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 226.\n\nNow find the corresponding name. Martha corresponds to 226.", "answer": "Martha", "table": "**Newspapers collected**\n\n| Name | Number of newspapers |\n| --- | --- |\n| Martha | 226 |\n| Ruth | 265 |\n| Vicky | 251 |\n| Kathleen | 256 |" } ] }, { "id": "7722", "image": "7722.png", "conversations": [ { "from": "human", "question": "Sean kept a driving log to see how many miles he drove each day. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n31, 27, 33, 36, 21\n\nFirst, arrange the numbers from least to greatest:\n\n21, 27, 31, 33, 36\n\nNow find the number in the middle.\n\n21, 27, 31, 33, 36\n\nThe number in the middle is 31.\n\nThe median is 31.", "answer": "31", "table": "**Miles driven**\n\n| Day | Number of miles |\n| --- | --- |\n| Monday | 31 |\n| Tuesday | 27 |\n| Wednesday | 33 |\n| Thursday | 36 |\n| Friday | 21 |" } ] }, { "id": "7723", "image": "7723.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Tracy is at the governor's mansion at 10.30 A.M. How soon can she get to the university campus?\n" }, { "from": "gpt", "solution": "Look at the row for the governor's mansion. Find the next bus departing from the governor's mansion after 10:30 A. M. This bus departs from the governor's mansion at 11:00 A. M.\n\nLook down the column until you find the row for the university campus.\n\nTracy will get to the university campus at 2:45 P. M.", "answer": "2:45 P.M.", "table": "**Tour bus schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 | Column 5 |\n| --- | --- | --- | --- | --- |\n| science museum | 7:45 A.M. | 9:00 A.M. | 10:30 A.M. | 11:00 A.M. |\n| skyscraper | 8:30 A.M. | 9:45 A.M. | 11:15 A.M. | 11:45 A.M. |\n| shopping district | 9:30 A.M. | 10:45 A.M. | 12:15 P.M. | 12:45 P.M. |\n| governor's mansion | 9:45 A.M. | 11:00 A.M. | 12:30 P.M. | 1:00 P.M. |\n| the zoo | 10:15 A.M. | 11:30 A.M. | 1:00 P.M. | 1:30 P.M. |\n| famous bridge | 11:00 A.M. | 12:15 P.M. | 1:45 P.M. | 2:15 P.M. |\n| old building | 11:30 A.M. | 12:45 P.M. | 2:15 P.M. | 2:45 P.M. |\n| art museum | 12:30 P.M. | 1:45 P.M. | 3:15 P.M. | 3:45 P.M. |\n| university campus | 1:30 P.M. | 2:45 P.M. | 4:15 P.M. | 4:45 P.M. |" } ] }, { "id": "7724", "image": "7724.png", "conversations": [ { "from": "human", "question": "Sixth graders at Weston Middle School are taught in classes of various sizes. How many more students are in Mrs. South's class than Ms. North's class?\n" }, { "from": "gpt", "solution": "Add the numbers in the Mrs. South row. Then, add the numbers in the Ms. North row.\n\nMrs. South: 17 + 16 = 33\nMs. North: 19 + 4 = 23\n\nNow subtract:\n\n33 − 23 = 10\n\n10 more students are in Mrs. South's class than Ms. North's class.", "answer": "10", "table": "**Sixth grade classes**\n\n| Teacher | Boys | Girls |\n| --- | --- | --- |\n| Mr. Center | 8 | 7 |\n| Ms. North | 19 | 4 |\n| Mrs. South | 17 | 16 |" } ] }, { "id": "7727", "image": "7727.png", "conversations": [ { "from": "human", "question": "Gwen bought 4 pounds of sawdust and 2 pounds of bark. How much did she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the sawdust. Multiply:\n\n$4 × 4 = $16\n\nFind the cost of the bark. Multiply:\n\n$5 × 2 = $10\n\nNow find the total cost by adding:\n\n$16 + $10 = $26\n\nShe spent $26.", "answer": "26", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| sawdust | $4 per lb |\n| sand | $5 per lb |\n| cement | $4 per lb |\n| bark | $5 per lb |\n| mulch | $4 per lb |" } ] }, { "id": "7734", "image": "7734.png", "conversations": [ { "from": "human", "question": "A crayon factory monitored the number of broken crayons per box during the past day. How many boxes had at least 40 broken crayons?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 4, 5, and 6.\n\nYou counted 5 leaves, which are blue in the stem-and-leaf plot above. 5 boxes had at least 40 broken crayons.", "answer": "5", "table": "**Broken crayons per box**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 3, 8 |\n| 2 | 0, 5 |\n| 3 | 0, 1, 5, 7, 7, 9, 9 |\n| 4 | 7 |\n| 5 | |\n| 6 | 0, 0, 1, 9 |" } ] }, { "id": "7739", "image": "7739.png", "conversations": [ { "from": "human", "question": "Look at Devontae's pay stub. Devontae lives in a state without state income tax. How much did Devontae make after taxes?\n" }, { "from": "gpt", "solution": "Find how much Devontae made after taxes. Find the total payroll tax, then subtract it from the total earnings.\nTo find the total payroll tax, add the federal income tax and the other taxes.\nThe total earnings are $492.00. The total payroll tax is $92.94. Subtract to find the difference.\n$492.00 - $92.94 = $399.06\nDevontae made $399.06 after taxes.", "answer": "399.06", "table": "| Employee | Pay period | |\n| --- | --- | --- |\n| Devontae Jackson | November 17-23 | |\n| Total earnings | | $492.00 |\n| Federal income tax | $55.30 | |\n| Other taxes | $37.64 | |\n| Total taxes | | ? |\n| Pay after taxes | | ? |" } ] }, { "id": "7740", "image": "7740.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $800, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $800, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $800 | 18,300 | 12,000 |\n| $820 | 16,300 | 14,400 |\n| $840 | 14,300 | 16,800 |\n| $860 | 12,300 | 19,200 |\n| $880 | 10,300 | 21,600 |" } ] }, { "id": "7757", "image": "7757.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $780, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $780, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $300 | 15,500 | 12,600 |\n| $460 | 12,200 | 12,700 |\n| $620 | 8,900 | 12,800 |\n| $780 | 5,600 | 12,900 |\n| $940 | 2,300 | 13,000 |" } ] }, { "id": "7761", "image": "7761.png", "conversations": [ { "from": "human", "question": "The city recorded how many fire hydrants there are on each street. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 6, 6, 6, 5, 6, 7, 7\n\nFirst, arrange the numbers from least to greatest:\n\n5, 6, 6, 6, 6, 7, 7, 7\n\nNow count how many times each number appears.\n\n5 appears 1 time.\n6 appears 4 times.\n7 appears 3 times.\n\nThe number that appears most often is 6.\n\nThe mode is 6.", "answer": "6", "table": "**Fire hydrants**\n\n| Street | Number of hydrants |\n| --- | --- |\n| Elm Street | 7 |\n| Aspen Street | 6 |\n| Pine Street | 6 |\n| Fir Street | 6 |\n| Oak Street | 5 |\n| Lemon Street | 6 |\n| Cherry Street | 7 |\n| Rose Street | 7 |" } ] }, { "id": "7764", "image": "7764.png", "conversations": [ { "from": "human", "question": "Look at this table. Is this relation a function?\n" }, { "from": "gpt", "solution": "Look at the x-values in the table.\n\nEach of the x-values is paired with only one y-value, so the relation is a function.", "answer": "yes", "table": "| x | y |\n| --- | --- |\n| 19 | 14 |\n| 14 | 4 |\n| 17 | 18 |" } ] }, { "id": "7772", "image": "7772.png", "conversations": [ { "from": "human", "question": "How much money does Evelyn need to buy a piece of rose quartz and a piece of copper?\n" }, { "from": "gpt", "solution": "Add the price of a piece of rose quartz and the price of a piece of copper:\n\n$0.06 + $0.09 = $0.15\n\nEvelyn needs $0.15.", "answer": "0.15", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| orange agate | $0.04 |\n| piece of green slate | $0.02 |\n| piece of copper | $0.09 |\n| yellow tiger's eye | $0.06 |\n| piece of rose quartz | $0.06 |" } ] }, { "id": "7777", "image": "7777.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which event ends at 2.45 P.M.?\n" }, { "from": "gpt", "solution": "Find 2:45 P. M. on the schedule. The men's pommel horse event ends at 2:45 P. M.", "answer": "men's pommel horse event", "table": "**Gymnastics meet schedule**\n\n| Event | Begin | End |\n| --- | --- | --- |\n| women's floor exercise | 10:05 A.M. | 10:45 A.M. |\n| men's vault | 10:35 A.M. | 11:20 A.M. |\n| men's rings | 11:25 A.M. | 12:20 P.M. |\n| men's parallel bars | 12:15 P.M. | 12:55 P.M. |\n| women's balance beam | 12:35 P.M. | 1:05 P.M. |\n| women's uneven bars | 12:50 P.M. | 1:15 P.M. |\n| men's high bar | 1:00 P.M. | 1:30 P.M. |\n| women's vault | 1:45 P.M. | 2:10 P.M. |\n| men's pommel horse | 2:20 P.M. | 2:45 P.M. |\n| men's floor exercise | 2:40 P.M. | 3:30 P.M. |" } ] }, { "id": "7782", "image": "7782.png", "conversations": [ { "from": "human", "question": "As part of a statistics lesson, Miss Navarro asked her students how many jackets they own. How many students own more than 2 jackets?\n" }, { "from": "gpt", "solution": "Find the row for 3 jackets and read the frequency. The frequency is 20.\n\n20 students own more than 2 jackets.", "answer": "20", "table": "**Jackets**\n\n| Number of jackets | Frequency |\n| --- | --- |\n| 0 | 3 |\n| 1 | 0 |\n| 2 | 18 |\n| 3 | 20 |" } ] }, { "id": "7789", "image": "7789.png", "conversations": [ { "from": "human", "question": "Kathleen has $106.00. Does she have enough to buy a hedgehog and a tree frog?\n" }, { "from": "gpt", "solution": "Add the price of a hedgehog and the price of a tree frog:\n\n$92.32 + $18.89 = $111.21\n\n$111.21 is more than $106.00. Kathleen does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| hedgehog | $92.32 |\n| chameleon | $96.60 |\n| scorpion | $65.25 |\n| tree frog | $18.89 |" } ] }, { "id": "7795", "image": "7795.png", "conversations": [ { "from": "human", "question": "A baker wrote down how many pies she made in the past 5 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n3, 2, 0, 0, 1\n\nFirst, arrange the numbers from least to greatest:\n\n0, 0, 1, 2, 3\n\nNow find the number in the middle.\n\n0, 0, 1, 2, 3\n\nThe number in the middle is 1.\n\nThe median is 1.", "answer": "1", "table": "**Pies baked**\n\n| Day | Number of pies |\n| --- | --- |\n| Monday | 3 |\n| Tuesday | 2 |\n| Wednesday | 0 |\n| Thursday | 0 |\n| Friday | 1 |" } ] }, { "id": "7806", "image": "7806.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{13 - 19}{9 - 8}\n = \\frac{-6}{1}\n = -6\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{7 - 19}{10 - 8}\n = \\frac{-12}{2}\n = -6\nThe two rates of change are the same.\n6.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 8 | 19 |\n| 9 | 13 |\n| 10 | 7 |" } ] }, { "id": "7807", "image": "7807.png", "conversations": [ { "from": "human", "question": "In science class, Ann is learning about places with extreme temperatures. She learns that the highest temperature ever recorded was in Death Valley, California. She also learns that the lowest temperature ever recorded was in Vostok Station, Antarctica. The record-setting temperatures of the two locations are shown in the table. Which location's temperature was further from zero?\n" }, { "from": "gpt", "solution": "A positive number means the temperature was above zero. A negative number means the temperature was below zero.\nTo find which temperature was further from zero, use absolute value. Absolute value tells you how far a temperature is from zero.\nDeath Valley: |134| = 134\nVostok Station: |-128| = 128\nThe temperature of Death Valley was further from zero. It was 134 degrees above zero.", "answer": "Death Valley", "table": "| Location | Temperature (°F) |\n| --- | --- |\n| Death Valley | 134 |\n| Vostok Station | -128 |" } ] }, { "id": "7808", "image": "7808.png", "conversations": [ { "from": "human", "question": "In considering whether to open a new branch, the city council examined the number of times some typical residents went to the library last month. How many people went to the library more than 4 times last month?\n" }, { "from": "gpt", "solution": "Find the rows for 5 and 6 times last month. Add the frequencies for these rows.\n\nAdd:\n\n7 + 15 = 22\n\n22 people went to the library more than 4 times last month.", "answer": "22", "table": "**Going to the library last month**\n\n| Number of trips | Frequency |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 5 |\n| 4 | 2 |\n| 5 | 7 |\n| 6 | 15 |" } ] }, { "id": "7818", "image": "7818.png", "conversations": [ { "from": "human", "question": "An employee at the craft store counted the number of red buttons in each bag of mixed buttons. What is the largest number of red buttons?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 8.\n\nNow find the highest leaf in the last row. The highest leaf is 4.\n\nThe largest number of red buttons has a stem of 8 and a leaf of 4. Write the stem first, then the leaf: 84.\n\nThe largest number of red buttons is 84 red buttons.", "answer": "84", "table": "**Red buttons per bag**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 2, 4 |\n| 2 | 2 |\n| 3 | 2, 3, 5 |\n| 4 | 7 |\n| 5 | 9 |\n| 6 | 2, 3, 4, 8 |\n| 7 | 0 |\n| 8 | 4 |" } ] }, { "id": "7821", "image": "7821.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $1,020, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $1,020, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $740 | 16,700 | 12,900 |\n| $880 | 14,700 | 14,400 |\n| $1,020 | 12,700 | 15,900 |\n| $1,160 | 10,700 | 17,400 |\n| $1,300 | 8,700 | 18,900 |" } ] }, { "id": "7826", "image": "7826.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $235, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $235, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $235 | 18,700 | 3,000 |\n| $325 | 17,400 | 7,200 |\n| $415 | 16,100 | 11,400 |\n| $505 | 14,800 | 15,600 |\n| $595 | 13,500 | 19,800 |" } ] }, { "id": "7833", "image": "7833.png", "conversations": [ { "from": "human", "question": "Some students compared how many pets they have. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n4, 8, 10, 2, 4\n\nFirst, arrange the numbers from least to greatest:\n\n2, 4, 4, 8, 10\n\nNow find the number in the middle.\n\n2, 4, 4, 8, 10\n\nThe number in the middle is 4.\n\nThe median is 4.", "answer": "4", "table": "**Pets**\n\n| Name | Number of pets |\n| --- | --- |\n| Mackenzie | 4 |\n| Turner | 8 |\n| Barbara | 10 |\n| Quinn | 2 |\n| Eddie | 4 |" } ] }, { "id": "7845", "image": "7845.png", "conversations": [ { "from": "human", "question": "Brody purchased 4 pounds of double chocolate ice cream, 5 pounds of mint ice cream, and 4 pounds of coffee ice cream. What was the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the double chocolate ice cream. Multiply:\n\n$2 × 4 = $8\n\nFind the cost of the mint ice cream. Multiply:\n\n$6 × 5 = $30\n\nFind the cost of the coffee ice cream. Multiply:\n\n$5 × 4 = $20\n\nNow find the total cost by adding:\n\n$8 + $30 + $20 = $58\n\nThe total cost was $58.", "answer": "58", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| coffee ice cream | $5/pound |\n| cookie dough ice cream | $6/pound |\n| double chocolate ice cream | $2/pound |\n| cherry ice cream | $4/pound |\n| mint ice cream | $6/pound |\n| strawberry ice cream | $6/pound |" } ] }, { "id": "7853", "image": "7853.png", "conversations": [ { "from": "human", "question": "While doing a project for P. E. class, Antonio researched the number of athletes competing in an international sporting event. How many countries have exactly 60 athletes?\n" }, { "from": "gpt", "solution": "For the number 60, the stem is 6, and the leaf is 0. Find the row where the stem is 6. In that row, count all the leaves equal to 0.\n\nYou counted 1 leaf, which is blue in the stem-and-leaf plot above. 1 country has exactly 60 athletes.", "answer": "1", "table": "**Athletes per country**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 6 |\n| 3 | 2, 5 |\n| 4 | 6, 7 |\n| 5 | 9 |\n| 6 | 0, 7, 9, 9 |\n| 7 | 3, 4, 6, 6 |" } ] }, { "id": "7866", "image": "7866.png", "conversations": [ { "from": "human", "question": "Every year Winchester has a citywide relay and reports the winning times. According to the table, what was the rate of change between 2016 and 2017?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{50 minutes - 34 minutes}{2017 - 2016}\n = \\frac{50 minutes - 34 minutes}{1 year}\n = \\frac{16 minutes}{1 year}\n = 16 minutes per year\nThe rate of change between 2016 and 2017 was 16 minutes per year.", "answer": "16", "table": "**Winning relay times**\n\n| Year | Winning time (minutes) |\n| --- | --- |\n| 2016 | 34 |\n| 2017 | 50 |\n| 2018 | 34 |\n| 2019 | 45 |\n| 2020 | 46 |" } ] }, { "id": "7872", "image": "7872.png", "conversations": [ { "from": "human", "question": "The members of the science club shared how many times they had been to the zoo last year. How many members went to the zoo more than 3 times?\n" }, { "from": "gpt", "solution": "Find the rows for 4, 5, and 6 times. Add the frequencies for these rows.\n\nAdd:\n\n0 + 20 + 15 = 35\n\n35 members went to the zoo more than 3 times.", "answer": "35", "table": "**Trips to the zoo last year**\n\n| Number of trips | Frequency |\n| --- | --- |\n| 0 | 6 |\n| 1 | 8 |\n| 2 | 17 |\n| 3 | 16 |\n| 4 | 0 |\n| 5 | 20 |\n| 6 | 15 |" } ] }, { "id": "7880", "image": "7880.png", "conversations": [ { "from": "human", "question": "A juice shop tracked how many smoothies it sold in the past 4 days. On which day did the shop sell the most smoothies?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 898.\n\nNow find the corresponding day. Sunday corresponds to 898.", "answer": "Sunday", "table": "**Smoothies sold**\n\n| Day | Number of smoothies |\n| --- | --- |\n| Friday | 889 |\n| Saturday | 839 |\n| Sunday | 898 |\n| Monday | 893 |" } ] }, { "id": "7887", "image": "7887.png", "conversations": [ { "from": "human", "question": "A toy store employee counted the number of toys in each bin in the sale section. How many bins had at least 60 toys but fewer than 70 toys?\n" }, { "from": "gpt", "solution": "Count all the leaves in the row with stem 6.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 bins had at least 60 toys but fewer than 70 toys.", "answer": "3", "table": "**Toys per bin**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 0, 0, 4, 9 |\n| 3 | 2, 7 |\n| 4 | |\n| 5 | 9 |\n| 6 | 7, 8, 8 |" } ] }, { "id": "7890", "image": "7890.png", "conversations": [ { "from": "human", "question": "How much money does Susan need to buy 5 high-tech desktops?\n" }, { "from": "gpt", "solution": "Find the total cost of 5 high-tech desktops by multiplying 5 times the price of a high-tech desktop.\n\n$7,870.00 × 5 = $39,350.00\n\nSusan needs $39,350.00.", "answer": "39,350", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| super laptop | $2,978.00 |\n| high-tech laptop | $9,408.00 |\n| business desktop | $7,312.00 |\n| high-tech desktop | $7,870.00 |\n| wide-screen desktop | $4,005.00 |\n| super desktop | $7,136.00 |" } ] }, { "id": "7894", "image": "7894.png", "conversations": [ { "from": "human", "question": "A personal trainer recorded how many laps each of her clients ran last week. How many clients ran fewer than 3 laps?\n" }, { "from": "gpt", "solution": "Find the rows for 0, 1, and 2 laps. Add the frequencies for these rows.\n\nAdd:\n\n15 + 5 + 14 = 34\n\n34 clients ran fewer than 3 laps.", "answer": "34", "table": "**Running laps**\n\n| Laps run | Frequency |\n| --- | --- |\n| 0 | 15 |\n| 1 | 5 |\n| 2 | 14 |\n| 3 | 8 |\n| 4 | 6 |" } ] }, { "id": "7904", "image": "7904.png", "conversations": [ { "from": "human", "question": "A food critic counted the number of menu items at each restaurant in town. How many restaurants have at least 50 menu items but fewer than 60 menu items?\n" }, { "from": "gpt", "solution": "Count all the leaves in the row with stem 5.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 restaurants have at least 50 menu items but fewer than 60 menu items.", "answer": "2", "table": "**Menu items per restaurant**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 7, 9 |\n| 3 | 1, 1, 3, 6, 9 |\n| 4 | 8 |\n| 5 | 5, 9 |\n| 6 | |\n| 7 | 1, 3, 6, 9 |\n| 8 | 2, 6, 9 |\n| 9 | 0 |" } ] }, { "id": "7905", "image": "7905.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $530, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $530, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $230 | 11,700 | 2,600 |\n| $380 | 10,200 | 6,600 |\n| $530 | 8,700 | 10,600 |\n| $680 | 7,200 | 14,600 |\n| $830 | 5,700 | 18,600 |" } ] }, { "id": "7911", "image": "7911.png", "conversations": [ { "from": "human", "question": "The fifth-grade teachers at Pineview Elementary are planning a party for the end of the year. They asked their students to vote for their favorite treat. The teachers recorded the votes in a frequency chart. How many more students voted for the most popular treat than the least popular treat?\n" }, { "from": "gpt", "solution": "Step 1: Find the most popular treat and the least popular treat.\nThe greatest number in the frequency chart is 46. The smallest number in the frequency chart is 19.\nSo, the most popular treat is pizza and the least popular is popcorn.\nStep 2: Find how many more students voted for pizza than popcorn.\n46 students voted for pizza, and 19 students voted for popcorn. Subtract to find the difference.\n46 - 19 = 27\nSo, 27 more students voted for pizza than for popcorn.", "answer": "27", "table": "**Party treats**\n\n| Treat | Frequency |\n| --- | --- |\n| ice pops | 32 |\n| pizza | 46 |\n| popcorn | 19 |\n| cupcakes | 42 |" } ] }, { "id": "7921", "image": "7921.png", "conversations": [ { "from": "human", "question": "How much money does Eve need to buy a ladder, a wheelbarrow, and a broom?\n" }, { "from": "gpt", "solution": "Find the total cost of a ladder, a wheelbarrow, and a broom.\n\n$41.97 + $34.96 + $11.60 = $88.53\n\nEve needs $88.53.", "answer": "88.53", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| rake | $10.67 |\n| can of paint | $10.55 |\n| wheelbarrow | $34.96 |\n| shovel | $19.59 |\n| ladder | $41.97 |\n| broom | $11.60 |" } ] }, { "id": "7928", "image": "7928.png", "conversations": [ { "from": "human", "question": "How much money does Jessica need to buy a purple T-shirt and an orange T-shirt?\n" }, { "from": "gpt", "solution": "Add the price of a purple T-shirt and the price of an orange T-shirt:\n\n$8 + $2 = $10\n\nJessica needs $10.", "answer": "10", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| purple T-shirt | $8 |\n| pair of white socks | $6 |\n| orange T-shirt | $2 |\n| black skirt | $3 |" } ] }, { "id": "7931", "image": "7931.png", "conversations": [ { "from": "human", "question": "The players on a quiz show received the following scores. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n4, 8, 14, 15, 18\n\nFirst, arrange the numbers from least to greatest:\n\n4, 8, 14, 15, 18\n\nNow find the number in the middle.\n\n4, 8, 14, 15, 18\n\nThe number in the middle is 14.\n\nThe median is 14.", "answer": "14", "table": "**Quiz show scores**\n\n| Name | Score |\n| --- | --- |\n| Francesca | 4 |\n| Alice | 8 |\n| Zane | 14 |\n| Lily | 15 |\n| Vivian | 18 |" } ] }, { "id": "7934", "image": "7934.png", "conversations": [ { "from": "human", "question": "A race car driver kept track of how many laps he drove in the past 5 days. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n53, 53, 53, 55, 55\n\nFirst, arrange the numbers from least to greatest:\n\n53, 53, 53, 55, 55\n\nNow count how many times each number appears.\n\n53 appears 3 times.\n55 appears 2 times.\n\nThe number that appears most often is 53.\n\nThe mode is 53.", "answer": "53", "table": "**Laps driven**\n\n| Day | Number of laps |\n| --- | --- |\n| Thursday | 53 |\n| Friday | 53 |\n| Saturday | 53 |\n| Sunday | 55 |\n| Monday | 55 |" } ] }, { "id": "7936", "image": "7936.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $45, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $45, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $45 | 19,700 | 6,900 |\n| $235 | 16,900 | 8,800 |\n| $425 | 14,100 | 10,700 |\n| $615 | 11,300 | 12,600 |\n| $805 | 8,500 | 14,500 |" } ] }, { "id": "7939", "image": "7939.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. How long does it take to get from Seagull Port to Cliff View?\n" }, { "from": "gpt", "solution": "Read the times in the first column for Seagull Port and Cliff View.\n\nFind the elapsed time between 8:30 A. M. and 2:15 P. M. The elapsed time is 5 hours and 45 minutes.\n\nNo matter which column of times you look at, the elapsed time is always 5 hours and 45 minutes.", "answer": "5 hours and 45 minutes", "table": "**Ferry schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 | Column 5 | Column 6 |\n| --- | --- | --- | --- | --- | --- |\n| Crest View | 7:00 A.M. | 7:15 A.M. | 7:30 A.M. | 7:45 A.M. | 8:00 A.M. |\n| Seagull Port | 8:30 A.M. | 8:45 A.M. | 9:00 A.M. | 9:15 A.M. | 9:30 A.M. |\n| Foggy Port | 9:45 A.M. | 10:00 A.M. | 10:15 A.M. | 10:30 A.M. | 10:45 A.M. |\n| Sandy Shores | 11:30 A.M. | 11:45 A.M. | 12:00 P.M. | 12:15 P.M. | 12:30 P.M. |\n| Rocky Port | 1:15 P.M. | 1:30 P.M. | 1:45 P.M. | 2:00 P.M. | 2:15 P.M. |\n| Cliff View | 2:15 P.M. | 2:30 P.M. | 2:45 P.M. | 3:00 P.M. | 3:15 P.M. |\n| Beach Town | 4:00 P.M. | 4:15 P.M. | 4:30 P.M. | 4:45 P.M. | 5:00 P.M. |\n| Green Harbor | 5:00 P.M. | 5:15 P.M. | 5:30 P.M. | 5:45 P.M. | 6:00 P.M. |" } ] }, { "id": "7942", "image": "7942.png", "conversations": [ { "from": "human", "question": "Shawna bought 3/4 of a pound of blueberries. How much did she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the blueberries. Multiply the price per pound by the number of pounds.\n$4 × \\frac{3}{4} = $4 × 0.75 = $3\nShe spent $3.", "answer": "3", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| blueberries | $4 per pound |\n| blackberries | $6 per pound |\n| loganberries | $3 per pound |\n| strawberries | $2 per pound |" } ] }, { "id": "7945", "image": "7945.png", "conversations": [ { "from": "human", "question": "Franco recalled how many minutes he had spent at theater rehearsal in the past 5 days. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n68, 66, 67, 67, 77\n\nFirst, count how many numbers are in the group.\n\nThere are 5 numbers.\n\nNow add all the numbers together:\n\n68 + 66 + 67 + 67 + 77 = 345\n\nNow divide the sum by the number of numbers:\n\n345 ÷ 5 = 69\n\nThe mean is 69.", "answer": "69", "table": "**Minutes spent rehearsing**\n\n| Day | Minutes |\n| --- | --- |\n| Wednesday | 68 |\n| Thursday | 66 |\n| Friday | 67 |\n| Saturday | 67 |\n| Sunday | 77 |" } ] }, { "id": "7964", "image": "7964.png", "conversations": [ { "from": "human", "question": "A coffee shop monitored the number of cups of coffee sold each day. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n14, 15, 11, 12, 13\n\nFirst, count how many numbers are in the group.\n\nThere are 5 numbers.\n\nNow add all the numbers together:\n\n14 + 15 + 11 + 12 + 13 = 65\n\nNow divide the sum by the number of numbers:\n\n65 ÷ 5 = 13\n\nThe mean is 13.", "answer": "13", "table": "**Cups of coffee sold**\n\n| Day | Number of cups |\n| --- | --- |\n| Saturday | 14 |\n| Sunday | 15 |\n| Monday | 11 |\n| Tuesday | 12 |\n| Wednesday | 13 |" } ] }, { "id": "7967", "image": "7967.png", "conversations": [ { "from": "human", "question": "A pair of Columbia High School hockey fans counted the number of games won by the school each year. According to the table, what was the rate of change between 2006 and 2007?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{1 game - 14 games}{2007 - 2006}\n = \\frac{1 game - 14 games}{1 year}\n = \\frac{-13 games}{1 year}\n = -13 games per year\nThe rate of change between 2006 and 2007 was - 13 games per year.", "answer": "-13", "table": "**Hockey games won by Columbia High**\n\n| Year | Games won |\n| --- | --- |\n| 2006 | 14 |\n| 2007 | 1 |\n| 2008 | 10 |\n| 2009 | 19 |\n| 2010 | 6 |" } ] }, { "id": "7979", "image": "7979.png", "conversations": [ { "from": "human", "question": "A farmer examined each building on his farm to determine how many lights needed repair. Which building has the fewest broken lights?\n" }, { "from": "gpt", "solution": "Look at the numbers in the Broken lights column. Find the least number in this column.\n\nThe least number is 3, which is in the Stable row. The stable has the fewest broken lights.", "answer": "stable", "table": "**Lights on the farm**\n\n| Building | Working lights | Broken lights |\n| --- | --- | --- |\n| Garage | 4 | 5 |\n| Greenhouse | 9 | 8 |\n| Stable | 8 | 3 |" } ] }, { "id": "7983", "image": "7983.png", "conversations": [ { "from": "human", "question": "In hopes of raising more funds for arts education, some parents in the Vindale School District publicized the current per-student arts education budget. According to the table, what was the rate of change between 2015 and 2016?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{$36 - $27}{2016 - 2015}\n = \\frac{$36 - $27}{1 year}\n = \\frac{$9}{1 year}\n = $9 per year\nThe rate of change between 2015 and 2016 was $9 per year.", "answer": "9", "table": "**Vindale arts education budget**\n\n| Year | Per-student budget |\n| --- | --- |\n| 2014 | $33 |\n| 2015 | $27 |\n| 2016 | $36 |\n| 2017 | $34 |\n| 2018 | $45 |" } ] }, { "id": "7996", "image": "7996.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{11 - 3}{17 - 16}\n = \\frac{8}{1}\n = 8\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{19 - 11}{18 - 17}\n = \\frac{8}{1}\n = 8\nThe two rates of change are the same.\nIf you checked the rate of change between rows 1 and 3, you would find that it is also 8.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 16 | 3 |\n| 17 | 11 |\n| 18 | 19 |" } ] }, { "id": "8004", "image": "8004.png", "conversations": [ { "from": "human", "question": "How much would it cost to buy 4 pounds of oatmeal and 4 pounds of granola?\n" }, { "from": "gpt", "solution": "Find the cost of the oatmeal. Multiply:\n\n$5.63 × 4 = $22.52\n\nFind the cost of the granola. Multiply:\n\n$4.35 × 4 = $17.40\n\nNow find the total cost by adding:\n\n$22.52 + $17.40 = $39.92\n\nIt would cost $39.92.", "answer": "39.92", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| wheat flakes | $4.96 per pound |\n| oatmeal | $5.63 per pound |\n| multi-grain cereal | $2.70 per pound |\n| granola | $4.35 per pound |" } ] }, { "id": "8006", "image": "8006.png", "conversations": [ { "from": "human", "question": "A city's school board compared how many students attend each high school. Which school has the fewest students?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 412.\n\nNow find the corresponding school. Riverside High corresponds to 412.", "answer": "Riverside High", "table": "**High school attendance**\n\n| School | Number of students |\n| --- | --- |\n| Riverside High | 412 |\n| Oak High | 421 |\n| Hillcrest High | 441 |\n| Cedar High | 424 |" } ] }, { "id": "8008", "image": "8008.png", "conversations": [ { "from": "human", "question": "How much more does a race car ride cost than a helicopter ride?\n" }, { "from": "gpt", "solution": "Subtract the price of a helicopter ride from the price of a race car ride.\n\n$887.00 - $493.00 = $394.00\n\nA race car ride costs $394.00 more than a helicopter ride.", "answer": "394", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| sailboat ride | $517.00 |\n| speedboat ride | $624.00 |\n| hot air balloon ride | $954.00 |\n| helicopter ride | $493.00 |\n| race car ride | $887.00 |" } ] }, { "id": "8018", "image": "8018.png", "conversations": [ { "from": "human", "question": "A radio station paid attention to how many listeners it had each month. How many more listeners did the radio station have in July than in June?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nJuly: 7,560\nJune: 2,833\n\nNow subtract: 7,560 - 2,833 = 4,727.\n\nThe radio station had 4,727 more listeners in July.", "answer": "4,727", "table": "**Radio listeners**\n\n| Month | Number of listeners |\n| --- | --- |\n| April | 6,394 |\n| May | 1,329 |\n| June | 2,833 |\n| July | 7,560 |" } ] }, { "id": "8019", "image": "8019.png", "conversations": [ { "from": "human", "question": "How much money does Ellen need to buy a measuring tape and a wrench?\n" }, { "from": "gpt", "solution": "Add the price of a measuring tape and the price of a wrench:\n\n$8 + $4 = $12\n\nEllen needs $12.", "answer": "12", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| padlock | $1 |\n| broom | $4 |\n| measuring tape | $8 |\n| bucket | $2 |\n| wrench | $4 |\n| mop | $3 |" } ] }, { "id": "8025", "image": "8025.png", "conversations": [ { "from": "human", "question": "Before deciding which flavors of ice cream to bring to the county fair, the manager at Rose's Ice Cream Parlor asked some children to vote for their favorite flavors. Which flavor is least popular?\n" }, { "from": "gpt", "solution": "Add the numbers in each row.\n\npecan praline: 19 + 14 = 33\nstrawberry: 7 + 14 = 21\nvanilla: 11 + 11 = 22\ncookie dough: 2 + 19 = 21\nchocolate: 6 + 3 = 9\n\nThe least sum is 9, which is the total for the Chocolate row. Chocolate ice cream is the least popular.", "answer": "chocolate", "table": "**Favorite ice cream flavors**\n\n| Ice cream flavor | Girls | Boys |\n| --- | --- | --- |\n| Pecan praline | 19 | 14 |\n| Strawberry | 7 | 14 |\n| Vanilla | 11 | 11 |\n| Cookie dough | 2 | 19 |\n| Chocolate | 6 | 3 |" } ] }, { "id": "8034", "image": "8034.png", "conversations": [ { "from": "human", "question": "How much money does Gavin need to buy a shiny gold shell and a pink and white striped shell?\n" }, { "from": "gpt", "solution": "Add the price of a shiny gold shell and the price of a pink and white striped shell:\n\n$0.06 + $0.03 = $0.09\n\nGavin needs $0.09.", "answer": "0.09", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| beautiful yellow shell | $0.08 |\n| purple clam shell | $0.01 |\n| white spindle shell | $0.08 |\n| shiny gold shell | $0.06 |\n| pink and white striped shell | $0.03 |" } ] }, { "id": "8035", "image": "8035.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $285, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $285, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $175 | 20,800 | 11,000 |\n| $285 | 16,700 | 12,200 |\n| $395 | 12,600 | 13,400 |\n| $505 | 8,500 | 14,600 |\n| $615 | 4,400 | 15,800 |" } ] }, { "id": "8038", "image": "8038.png", "conversations": [ { "from": "human", "question": "How much money does Ken need to buy 4 deep-sea fishing packages?\n" }, { "from": "gpt", "solution": "Find the total cost of 4 deep-sea fishing packages by multiplying 4 times the price of a deep-sea fishing package.\n\n$662.00 × 4 = $2,648.00\n\nKen needs $2,648.00.", "answer": "2,648", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| sailing trip package | $337.00 |\n| rock-climbing adventure package | $554.00 |\n| deep-sea fishing package | $662.00 |\n| surfing adventure package | $948.00 |\n| sky-diving adventure package | $163.00 |\n| whale-watching adventure package | $335.00 |" } ] }, { "id": "8058", "image": "8058.png", "conversations": [ { "from": "human", "question": "How much money does Owen need to buy a jersey signed by a famous hockey player and a photograph signed by a famous movie star?\n" }, { "from": "gpt", "solution": "Add the price of a jersey signed by a famous hockey player and the price of a photograph signed by a famous movie star:\n\n$65 + $24 = $89\n\nOwen needs $89.", "answer": "89", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| photograph signed by a famous television star | $60 |\n| CD signed by a famous band | $74 |\n| photograph signed by a famous movie star | $24 |\n| program signed by a famous dancer | $35 |\n| jersey signed by a famous hockey player | $65 |" } ] }, { "id": "8066", "image": "8066.png", "conversations": [ { "from": "human", "question": "Some dealerships compared their vehicle sales. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n83, 78, 90, 80, 81, 83, 90, 95\n\nFirst, count how many numbers are in the group.\n\nThere are 8 numbers.\n\nNow add all the numbers together:\n\n83 + 78 + 90 + 80 + 81 + 83 + 90 + 95 = 680\n\nNow divide the sum by the number of numbers:\n\n680 ÷ 8 = 85\n\nThe mean is 85.", "answer": "85", "table": "**Vehicle sales**\n\n| Dealership | Number of vehicles |\n| --- | --- |\n| Truck Town | 83 |\n| Truck City | 78 |\n| Ledbetter Auto Mall | 90 |\n| Clearance Cars | 80 |\n| Thompson Auto Warehouse | 81 |\n| Affordable Cars | 83 |\n| RV City | 90 |\n| Ben's Used Cars | 95 |" } ] }, { "id": "8067", "image": "8067.png", "conversations": [ { "from": "human", "question": "Look at this table. Is this relation a function?\n" }, { "from": "gpt", "solution": "Look at the x-values in the table.\n\nEach of the x-values is paired with only one y-value, so the relation is a function.", "answer": "yes", "table": "| x | y |\n| --- | --- |\n| 16 | 5 |\n| 1 | 12 |\n| 20 | 9 |" } ] }, { "id": "8077", "image": "8077.png", "conversations": [ { "from": "human", "question": "Principal Doyle reported the state test scores from some students at her school. How many students scored exactly 88 points?\n" }, { "from": "gpt", "solution": "For the number 88, the stem is 8, and the leaf is 8. Find the row where the stem is 8. In that row, count all the leaves equal to 8.\n\nYou counted 1 leaf, which is blue in the stem-and-leaf plot above. 1 student scored exactly 88 points.", "answer": "1", "table": "**Test scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 0, 4, 5, 5, 6 |\n| 5 | 5 |\n| 6 | 0, 2, 4, 6, 6, 7, 8 |\n| 7 | 0, 0, 1, 7 |\n| 8 | 0, 2, 4, 8 |" } ] }, { "id": "8088", "image": "8088.png", "conversations": [ { "from": "human", "question": "A flight attendant was counting the number of passengers present to see if any upgrades could be offered. The flight attendant's list contained passengers' Frequent Flyer status as well as number of bags checked. What is the probability that a randomly selected passenger has silver status and 0 checked bags? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the passenger has silver status\" and B be the event \"the passenger has 0 checked bags\".\nTo find the probability that a passenger has silver status and 0 checked bags, first identify the sample space and the event.\nThe outcomes in the sample space are the different passengers. Each passenger is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the passenger has silver status and 0 checked bags\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the passenger has silver status and 0 checked bags\", so look at the table to see how many passengers have silver status and 0 checked bags.\nThe number of passengers who have silver status and 0 checked bags is 6.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of passengers.\n3 + 6 + 2 + 5 = 16\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{6}{16}\n = \\frac{3}{8}\nThe probability that a passenger has silver status and 0 checked bags is \\frac{3}{8}.", "answer": "3/8", "table": "| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| | 0 checked bags | 1 checked bag |\n| Bronze status | 3 | 2 |\n| Silver status | 6 | 5 |" } ] }, { "id": "8089", "image": "8089.png", "conversations": [ { "from": "human", "question": "Kelly counted the number of articles in several different magazines. What is the largest number of articles?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 4.\n\nNow find the highest leaf in the last row. The highest leaf is 5.\n\nThe largest number of articles has a stem of 4 and a leaf of 5. Write the stem first, then the leaf: 45.\n\nThe largest number of articles is 45 articles.", "answer": "45", "table": "**Articles per magazine**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 2, 2, 4, 9 |\n| 2 | 0, 2, 4, 6 |\n| 3 | 0, 4, 6, 8, 9 |\n| 4 | 0, 5 |" } ] }, { "id": "8094", "image": "8094.png", "conversations": [ { "from": "human", "question": "Principal Stafford reported the state test scores from some students at her school. How many students scored at least 22 points but fewer than 28 points?\n" }, { "from": "gpt", "solution": "Find the row with stem 2. Count all the leaves greater than or equal to 2 and less than 8.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 students scored at least 22 points but fewer than 28 points.", "answer": "3", "table": "**Test scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 3, 8 |\n| 2 | 3, 3, 6, 9 |\n| 3 | 0 |\n| 4 | 1 |\n| 5 | 4, 8 |\n| 6 | 2, 8 |\n| 7 | 0, 0, 8 |\n| 8 | |\n| 9 | 0 |" } ] }, { "id": "8095", "image": "8095.png", "conversations": [ { "from": "human", "question": "A Girl Scout troop recorded how many boxes of cookies they sold each day for a week. According to the table, what was the rate of change between Tuesday and Wednesday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{40 boxes - 40 boxes}{1 day}\n = \\frac{0 boxes}{1 day}\n = 0 boxes per day\nThe rate of change between Tuesday and Wednesday was 0 boxes per day.", "answer": "0", "table": "**Boxes of Girl Scout cookies sold**\n\n| Day | Boxes of cookies |\n| --- | --- |\n| Sunday | 36 |\n| Monday | 38 |\n| Tuesday | 40 |\n| Wednesday | 40 |\n| Thursday | 44 |" } ] }, { "id": "8102", "image": "8102.png", "conversations": [ { "from": "human", "question": "How much money does Vincent need to buy 9 encyclopedias and 5 atlases?\n" }, { "from": "gpt", "solution": "Find the cost of 9 encyclopedias.\n\n$13 × 9 = $117\n\nFind the cost of 5 atlases.\n\n$32 × 5 = $160\n\nNow find the total cost.\n\n$117 + $160 = $277\n\nVincent needs $277.", "answer": "277", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| cat calendar | $11 |\n| encyclopedia | $13 |\n| book of poems | $20 |\n| atlas | $32 |" } ] }, { "id": "8105", "image": "8105.png", "conversations": [ { "from": "human", "question": "How much money does Erin need to buy a whale keychain and a souvenir cup?\n" }, { "from": "gpt", "solution": "Add the price of a whale keychain and the price of a souvenir cup:\n\n$0.52 + $0.21 = $0.73\n\nErin needs $0.73.", "answer": "0.73", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| beach postcard | $0.33 |\n| whale keychain | $0.52 |\n| picture of a shark | $0.51 |\n| souvenir cup | $0.21 |" } ] }, { "id": "8106", "image": "8106.png", "conversations": [ { "from": "human", "question": "Each kitchen cabinet has 10 bowls. How many bowls are in 4 kitchen cabinets?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 40 bowls in 4 kitchen cabinets.", "answer": "40", "table": "| Number of kitchen cabinets | Number of bowls |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | ? |" } ] }, { "id": "8111", "image": "8111.png", "conversations": [ { "from": "human", "question": "A stock broker followed the stock prices of a certain set of companies. How much did Houston Sporting Goods's stock cost on Monday?\n" }, { "from": "gpt", "solution": "First, find the row for Houston Sporting Goods. Then find the number in the Monday column.\n\nThis number is $8.00. Houston Sporting Goods's stock cost $8 on Monday.", "answer": "8", "table": "**Stock prices**\n\n| Company | Monday | Tuesday |\n| --- | --- | --- |\n| White and Company | $13 | $20 |\n| Houston Sporting Goods | $8 | $16 |\n| Computer Data Company | $16 | $11 |\n| Jonas Incorporated | $4 | $20 |\n| Thompson Corporation | $17 | $4 |" } ] }, { "id": "8122", "image": "8122.png", "conversations": [ { "from": "human", "question": "How much money does Ellie need to buy 9 pink sweaters and 7 pairs of tennis shoes?\n" }, { "from": "gpt", "solution": "Find the cost of 9 pink sweaters.\n\n$4.17 × 9 = $37.53\n\nFind the cost of 7 pairs of tennis shoes.\n\n$7.24 × 7 = $50.68\n\nNow find the total cost.\n\n$37.53 + $50.68 = $88.21\n\nEllie needs $88.21.", "answer": "88.21", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pair of tennis shoes | $7.24 |\n| plaid scarf | $5.58 |\n| purple T-shirt | $9.48 |\n| pink sweater | $4.17 |" } ] }, { "id": "8128", "image": "8128.png", "conversations": [ { "from": "human", "question": "Each sheet has 2 stamps. How many stamps are on 5 sheets?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 10 stamps on 5 sheets.", "answer": "10", "table": "| Number of sheets | Number of stamps |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | 6 |\n| 4 | 8 |\n| 5 | ? |" } ] }, { "id": "8131", "image": "8131.png", "conversations": [ { "from": "human", "question": "Anita counted the number of articles in several different magazines. What is the largest number of articles?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 4.\n\nNow find the highest leaf in the last row. The highest leaf is 7.\n\nThe largest number of articles has a stem of 4 and a leaf of 7. Write the stem first, then the leaf: 47.\n\nThe largest number of articles is 47 articles.", "answer": "47", "table": "**Articles per magazine**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 2, 3, 5, 8 |\n| 2 | 1, 1, 9 |\n| 3 | 1, 2, 5, 7, 8 |\n| 4 | 1, 3, 5, 7 |" } ] }, { "id": "8157", "image": "8157.png", "conversations": [ { "from": "human", "question": "How much money does Trisha need to buy 8 chess boards?\n" }, { "from": "gpt", "solution": "Find the total cost of 8 chess boards by multiplying 8 times the price of a chess board.\n\n$23.00 × 8 = $184.00\n\nTrisha needs $184.00.", "answer": "184", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| trampoline | $51.00 |\n| board game | $23.00 |\n| teddy bear | $16.00 |\n| chess board | $23.00 |\n| toy guitar | $12.00 |" } ] }, { "id": "8158", "image": "8158.png", "conversations": [ { "from": "human", "question": "Omar kept track of the number of games his soccer team won each year. According to the table, what was the rate of change between 2017 and 2018?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{22 games - 28 games}{2018 - 2017}\n = \\frac{22 games - 28 games}{1 year}\n = \\frac{-6 games}{1 year}\n = -6 games per year\nThe rate of change between 2017 and 2018 was - 6 games per year.", "answer": "-6", "table": "**Games won by Omar's soccer team**\n\n| Year | Games won |\n| --- | --- |\n| 2016 | 28 |\n| 2017 | 28 |\n| 2018 | 22 |\n| 2019 | 19 |\n| 2020 | 30 |" } ] }, { "id": "8165", "image": "8165.png", "conversations": [ { "from": "human", "question": "Braden, who rents properties for a living, measures all the offices in a building he is renting. How many offices are less than 70 square meters?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1, 2, 3, 4, 5, and 6.\n\nYou counted 13 leaves, which are blue in the stem-and-leaf plot above. 13 offices are less than 70 square meters.", "answer": "13", "table": "**Office sizes (square meters)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 4 |\n| 2 | 6, 8 |\n| 3 | 6, 7, 8, 9 |\n| 4 | 5, 7 |\n| 5 | 0, 0, 8 |\n| 6 | 9 |" } ] }, { "id": "8167", "image": "8167.png", "conversations": [ { "from": "human", "question": "Some dealerships compared their vehicle sales. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n33, 33, 36, 36, 36, 37, 36, 33\n\nFirst, arrange the numbers from least to greatest:\n\n33, 33, 33, 36, 36, 36, 36, 37\n\nNow count how many times each number appears.\n\n33 appears 3 times.\n36 appears 4 times.\n37 appears 1 time.\n\nThe number that appears most often is 36.\n\nThe mode is 36.", "answer": "36", "table": "**Vehicle sales**\n\n| Dealership | Number of vehicles |\n| --- | --- |\n| Ben's Used Cars | 33 |\n| Ledbetter Auto Mall | 33 |\n| Braverton Autos | 36 |\n| Affordable Cars | 36 |\n| Clearance Cars | 36 |\n| Thompson Auto Warehouse | 37 |\n| Truck City | 36 |\n| Cars of Pryor Falls | 33 |" } ] }, { "id": "8171", "image": "8171.png", "conversations": [ { "from": "human", "question": "How much money does Isaac need to buy 7 radio ads and 2 TV ads?\n" }, { "from": "gpt", "solution": "Find the cost of 7 radio ads.\n\n$1,800 × 7 = $12,600\n\nFind the cost of 2 TV ads.\n\n$9,249 × 2 = $18,498\n\nNow find the total cost.\n\n$12,600 + $18,498 = $31,098\n\nIsaac needs $31,098.", "answer": "31,098", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| radio ad | $1,800 |\n| online ad | $2,997 |\n| billboard ad | $6,371 |\n| TV ad | $9,249 |" } ] }, { "id": "8178", "image": "8178.png", "conversations": [ { "from": "human", "question": "Some friends compared the sizes of their stuffed animal collections. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n49, 47, 58, 57, 56, 46, 53\n\nFirst, arrange the numbers from least to greatest:\n\n46, 47, 49, 53, 56, 57, 58\n\nNow find the number in the middle.\n\n46, 47, 49, 53, 56, 57, 58\n\nThe number in the middle is 53.\n\nThe median is 53.", "answer": "53", "table": "**Stuffed animal collections**\n\n| Name | Number of stuffed animals |\n| --- | --- |\n| Preston | 49 |\n| Samuel | 47 |\n| Olivia | 58 |\n| Wesley | 57 |\n| Lee | 56 |\n| Jake | 46 |\n| Mitch | 53 |" } ] }, { "id": "8201", "image": "8201.png", "conversations": [ { "from": "human", "question": "Dirk's family went on a road trip and counted the number of cars they saw each day. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n25, 32, 27, 28, 29, 25\n\nFirst, find the greatest number. The greatest number is 32.\n\nNext, find the least number. The least number is 25.\n\nSubtract the least number from the greatest number:\n\n32 − 25 = 7\n\nThe range is 7.", "answer": "7", "table": "**Number of cars**\n\n| Day | Number of cars |\n| --- | --- |\n| Saturday | 25 |\n| Sunday | 32 |\n| Monday | 27 |\n| Tuesday | 28 |\n| Wednesday | 29 |\n| Thursday | 25 |" } ] }, { "id": "8202", "image": "8202.png", "conversations": [ { "from": "human", "question": "A hardware store monitored how many hammers it sold in the past 6 days. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 2, 10, 2, 7, 3\n\nFirst, count how many numbers are in the group.\n\nThere are 6 numbers.\n\nNow add all the numbers together:\n\n6 + 2 + 10 + 2 + 7 + 3 = 30\n\nNow divide the sum by the number of numbers:\n\n30 ÷ 6 = 5\n\nThe mean is 5.", "answer": "5", "table": "**Hammers sold**\n\n| Day | Number of hammers |\n| --- | --- |\n| Thursday | 6 |\n| Friday | 2 |\n| Saturday | 10 |\n| Sunday | 2 |\n| Monday | 7 |\n| Tuesday | 3 |" } ] }, { "id": "8221", "image": "8221.png", "conversations": [ { "from": "human", "question": "Nicholas buys 4 pounds of white bread crumbs. What is the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the white bread crumbs. Multiply the price per pound by the number of pounds.\n$3 × 4 = $12\nThe total cost is $12.", "answer": "12", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| white bread crumbs | $3 per lb |\n| French bread crumbs | $5 per lb |\n| whole grain bread crumbs | $6 per lb |\n| rye bread crumbs | $6 per lb |\n| sourdough bread crumbs | $5 per lb |\n| pumpernickel bread crumbs | $3 per lb |" } ] }, { "id": "8226", "image": "8226.png", "conversations": [ { "from": "human", "question": "A farm equipment company kept a record of the number of tractors made each month. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 7, 8, 8, 7, 9\n\nFirst, count how many numbers are in the group.\n\nThere are 6 numbers.\n\nNow add all the numbers together:\n\n9 + 7 + 8 + 8 + 7 + 9 = 48\n\nNow divide the sum by the number of numbers:\n\n48 ÷ 6 = 8\n\nThe mean is 8.", "answer": "8", "table": "**Tractors made**\n\n| Month | Number of tractors |\n| --- | --- |\n| March | 9 |\n| April | 7 |\n| May | 8 |\n| June | 8 |\n| July | 7 |\n| August | 9 |" } ] }, { "id": "8230", "image": "8230.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which class ends at 1.35 P.M.?\n" }, { "from": "gpt", "solution": "Find 1:35 P. M. on the schedule. Geography class ends at 1:35 P. M.", "answer": "Geography class", "table": "**Class schedule**\n\n| Subject | Begin | End |\n| --- | --- | --- |\n| Spelling | 6:10 A.M. | 6:50 A.M. |\n| Handwriting | 6:55 A.M. | 8:00 A.M. |\n| Choir | 8:05 A.M. | 9:10 A.M. |\n| Gym | 9:20 A.M. | 9:55 A.M. |\n| Spanish | 10:00 A.M. | 10:35 A.M. |\n| Recess | 10:40 A.M. | 11:35 A.M. |\n| Orchestra | 11:40 A.M. | 12:35 P.M. |\n| Geography | 12:40 P.M. | 1:35 P.M. |\n| Social Studies | 1:45 P.M. | 2:45 P.M. |" } ] }, { "id": "8231", "image": "8231.png", "conversations": [ { "from": "human", "question": "Michael buys 1.2 pounds of navel oranges. What is the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the navel oranges. Multiply the price per pound by the number of pounds.\n$5 × 1.2 = $6\nThe total cost is $6.", "answer": "6", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| Persian oranges | $1/pound |\n| blood oranges | $2/pound |\n| navel oranges | $5/pound |\n| Valencia oranges | $3/pound |\n| tangerines | $1/pound |\n| pomelos | $2/pound |" } ] }, { "id": "8238", "image": "8238.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does the train depart from Franklin Boulevard?\n" }, { "from": "gpt", "solution": "Find Franklin Boulevard on the schedule. Find the departure time for Franklin Boulevard.\n\nFranklin Boulevard: 12:15 P. M.", "answer": "12:15 P.M.", "table": "**Subway train schedule**\n\n| Location | Time |\n| --- | --- |\n| Elm Road | 10:40 A.M. |\n| Adams Street | 10:55 A.M. |\n| Pine Avenue | 11:05 A.M. |\n| Woodland Road | 11:35 A.M. |\n| Franklin Boulevard | 12:15 P.M. |\n| Sycamore Road | 12:55 P.M. |\n| Lincoln Street | 1:30 P.M. |" } ] }, { "id": "8245", "image": "8245.png", "conversations": [ { "from": "human", "question": "Simon's class recorded how many cans of food each student collected for their canned food drive. Who collected the most cans?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 387.\n\nNow find the corresponding name. Elizabeth corresponds to 387.", "answer": "Elizabeth", "table": "**Cans of food collected**\n\n| Name | Number of cans of food |\n| --- | --- |\n| Simon | 338 |\n| Clara | 378 |\n| Elizabeth | 387 |\n| Isaac | 373 |" } ] }, { "id": "8246", "image": "8246.png", "conversations": [ { "from": "human", "question": "Each tree has 5 parakeets. How many parakeets are in 5 trees?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 25 parakeets in 5 trees.", "answer": "25", "table": "| Number of trees | Number of parakeets |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | 20 |\n| 5 | ? |" } ] }, { "id": "8249", "image": "8249.png", "conversations": [ { "from": "human", "question": "A researcher recorded the number of cows on each farm in the county. How many farms have at least 37 cows but fewer than 64 cows?\n" }, { "from": "gpt", "solution": "Find the row with stem 3. Count all the leaves greater than or equal to 7.\n\nCount all the leaves in the rows with stems 4 and 5.\n\nIn the row with stem 6, count all the leaves less than 4.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plots above. 4 farms have at least 37 cows but fewer than 64 cows.", "answer": "4", "table": "**Cows per farm**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 0, 3, 5, 8 |\n| 4 | 1, 4 |\n| 5 | 4 |\n| 6 | 5, 5 |\n| 7 | |\n| 8 | |\n| 9 | 0 |" } ] }, { "id": "8250", "image": "8250.png", "conversations": [ { "from": "human", "question": "The financial aid office at McGee University produced an internal report on the number of students receiving scholarships. According to the table, what was the rate of change between 2020 and 2021?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{37 students - 46 students}{2021 - 2020}\n = \\frac{37 students - 46 students}{1 year}\n = \\frac{-9 students}{1 year}\n = -9 students per year\nThe rate of change between 2020 and 2021 was - 9 students per year.", "answer": "-9", "table": "**Students receiving scholarships**\n\n| Year | Students |\n| --- | --- |\n| 2017 | 38 |\n| 2018 | 43 |\n| 2019 | 47 |\n| 2020 | 46 |\n| 2021 | 37 |" } ] }, { "id": "8267", "image": "8267.png", "conversations": [ { "from": "human", "question": "Miss Doyle ran a sit-up competition among her P.E. students and monitored how many sit-ups each students could do. How many people did exactly 21 sit-ups?\n" }, { "from": "gpt", "solution": "For the number 21, the stem is 2, and the leaf is 1. Find the row where the stem is 2. In that row, count all the leaves equal to 1.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 people did exactly21 sit-ups.", "answer": "4", "table": "**Sit-up competition (number of sit-ups)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1 |\n| 2 | 1, 1, 1, 1, 2, 3 |\n| 3 | 4, 8 |\n| 4 | 4 |\n| 5 | 0, 2 |\n| 6 | |\n| 7 | 2, 5, 8, 8, 9 |" } ] }, { "id": "8269", "image": "8269.png", "conversations": [ { "from": "human", "question": "A beauty salon in Oxford has four beauticians and keeps track of how often clients request each one specifically. What fraction of requests were for Mackenzie? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many clients requested Mackenzie.\n\n410\n\nFind how many requests were made in total.\n\n130 + 980 + 410 + 880 = 2,400\n\nDivide 410 by2,400.\n\n\\frac{410}{2,400}\n\nReduce the fraction.\n\n\\frac{410}{2,400} → \\frac{41}{240}\n\n\\frac{41}{240} of clients requested Mackenzie.", "answer": "41/240", "table": "**Beautician requests**\n\n| Beautician | Requests |\n| --- | --- |\n| Tara | 130 |\n| Cody | 980 |\n| Mackenzie | 410 |\n| Layla | 880 |" } ] }, { "id": "8276", "image": "8276.png", "conversations": [ { "from": "human", "question": "Meg has $0.04. Does she have enough to buy a gold tack and a red thumbtack?\n" }, { "from": "gpt", "solution": "Add the price of a gold tack and the price of a red thumbtack:\n\n$0.02 + $0.03 = $0.05\n\n$0.05 is more than $0.04. Meg does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| brass clip | $0.02 |\n| flat-head bolt | $0.01 |\n| red thumbtack | $0.03 |\n| gold tack | $0.02 |\n| short steel screw | $0.06 |\n| small metal hook | $0.07 |" } ] }, { "id": "8290", "image": "8290.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does the Tigers versus Wolves game end?\n" }, { "from": "gpt", "solution": "Find the Tigers versus Wolves game on the schedule. Find the end time for the Tigers versus Wolves game.\n\nTigers versus Wolves: 6:35 P. M.", "answer": "6:35 P.M.", "table": "**Soccer tournament schedule**\n\n| Game | Begin | End |\n| --- | --- | --- |\n| Waves versus Alligators | 9:05 A.M. | 10:35 A.M. |\n| Lightning versus Coyotes | 9:45 A.M. | 11:15 A.M. |\n| Lions versus Blue Jays | 11:00 A.M. | 12:30 P.M. |\n| Fire versus Blizzard | 11:55 A.M. | 1:25 P.M. |\n| Hawks versus Jaguars | 1:10 P.M. | 2:40 P.M. |\n| Sharks versus Storm | 2:05 P.M. | 3:35 P.M. |\n| Cardinals versus Cobras | 2:45 P.M. | 4:15 P.M. |\n| Thunder versus Eagles | 4:05 P.M. | 5:35 P.M. |\n| Dolphins versus Bears | 5:00 P.M. | 6:30 P.M. |\n| Tigers versus Wolves | 5:05 P.M. | 6:35 P.M. |" } ] }, { "id": "8293", "image": "8293.png", "conversations": [ { "from": "human", "question": "How much money does Chandler need to buy an antique rosewood corner cabinet, an antique elm coffee table, and an antique pine chest of drawers?\n" }, { "from": "gpt", "solution": "Find the total cost of an antique rosewood corner cabinet, an antique elm coffee table, and an antique pine chest of drawers.\n\n$4,927.00 + $1,884.00 + $1,174.00 = $7,985.00\n\nChandler needs $7,985.00.", "answer": "7,985", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| antique elm coffee table | $1,884.00 |\n| antique rosewood corner cabinet | $4,927.00 |\n| antique pine chest of drawers | $1,174.00 |\n| antique oak writing desk | $4,882.00 |" } ] }, { "id": "8294", "image": "8294.png", "conversations": [ { "from": "human", "question": "Ernest wants to buy 1 pound of kidney beans and 2 pounds of lima beans. How much will he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the kidney beans. Multiply:\n\n$2 × 1 = $2\n\nFind the cost of the lima beans. Multiply:\n\n$2 × 2 = $4\n\nNow find the total cost by adding:\n\n$2 + $4 = $6\n\nHe will spend $6.", "answer": "6", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| kidney beans | $2/lb |\n| lima beans | $2/lb |\n| mung beans | $2/lb |\n| lentils | $2/lb |\n| garbanzo beans | $3/lb |\n| soybeans | $1/lb |" } ] }, { "id": "8301", "image": "8301.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does the speed skate end?\n" }, { "from": "gpt", "solution": "Find the speed skate on the schedule. Find the end time for the speed skate.\n\nspeed skate: 10:55 A. M.", "answer": "10:55 A.M.", "table": "**Skating rink schedule**\n\n| Activity | Begin | End |\n| --- | --- | --- |\n| speed skate | 9:35 A.M. | 10:55 A.M. |\n| hockey practice | 11:10 A.M. | 12:25 P.M. |\n| backward skate | 12:30 P.M. | 1:40 P.M. |\n| children's class | 1:55 P.M. | 3:50 P.M. |\n| private class | 4:00 P.M. | 5:30 P.M. |" } ] }, { "id": "8305", "image": "8305.png", "conversations": [ { "from": "human", "question": "The owner of a pick-your-own-bouquet flower farm recorded the number of flowers that customers picked yesterday. How many customers picked fewer than 2 flowers?\n" }, { "from": "gpt", "solution": "Find the row for 1 flower and read the frequency. The frequency is 9.\n\n9 customers picked fewer than 2 flowers.", "answer": "9", "table": "**Picking flowers**\n\n| Flowers picked | Frequency |\n| --- | --- |\n| 1 | 9 |\n| 2 | 18 |\n| 3 | 15 |\n| 4 | 10 |\n| 5 | 6 |" } ] }, { "id": "8307", "image": "8307.png", "conversations": [ { "from": "human", "question": "In science class, Grace is measuring the temperature of different chemical mixtures. The temperatures of two mixtures are shown in the table. Which mixture's temperature is closest to zero?\n" }, { "from": "gpt", "solution": "A positive number means the temperature is above zero. A negative number means the temperature is below zero.\nTo find the temperature closest to zero, use absolute value. The absolute value of a temperature tells you how far it is from zero.\nBromine mixture: |-4| = 4\nAcetone mixture: |5| = 5\nThe temperature of the bromine mixture is closest to zero. It is only 4 degrees below zero.", "answer": "bromine mixture", "table": "| Mixture | Temperature (°C) |\n| --- | --- |\n| Bromine mixture | -4 |\n| Acetone mixture | 5 |" } ] }, { "id": "8311", "image": "8311.png", "conversations": [ { "from": "human", "question": "How much money does Turner need to buy 4 black jackets and 4 denim jackets?\n" }, { "from": "gpt", "solution": "Find the cost of 4 black jackets.\n\n$24.67 × 4 = $98.68\n\nFind the cost of 4 denim jackets.\n\n$17.46 × 4 = $69.84\n\nNow find the total cost.\n\n$98.68 + $69.84 = $168.52\n\nTurner needs $168.52.", "answer": "168.52", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| blue sweater | $25.99 |\n| pair of sweat pants | $15.81 |\n| green sweatshirt | $14.22 |\n| denim jacket | $17.46 |\n| black jacket | $24.67 |\n| pair of brown pants | $18.43 |" } ] }, { "id": "8324", "image": "8324.png", "conversations": [ { "from": "human", "question": "Bobby has $38.70. How much money will Bobby have left if he buys a cookbook and a history book?\n" }, { "from": "gpt", "solution": "Find the total cost of a cookbook and a history book.\n\n$10.22 + $13.40 = $23.62\n\nNow subtract the total cost from the starting amount.\n\n$38.70 - $23.62 = $15.08\n\nBobby will have $15.08 left.", "answer": "15.08", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| dog calendar | $13.81 |\n| history book | $13.40 |\n| book of piano music | $13.91 |\n| cookbook | $10.22 |" } ] }, { "id": "8326", "image": "8326.png", "conversations": [ { "from": "human", "question": "Kurt has $1.37. Does he have enough to buy a frog key chain and a tennis ball key chain?\n" }, { "from": "gpt", "solution": "Add the price of a frog key chain and the price of a tennis ball key chain:\n\n$0.66 + $0.73 = $1.39\n\n$1.39 is more than $1.37. Kurt does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| basketball key chain | $0.90 |\n| horse key chain | $0.74 |\n| frog key chain | $0.66 |\n| tennis ball key chain | $0.73 |" } ] }, { "id": "8338", "image": "8338.png", "conversations": [ { "from": "human", "question": "This is Duncan's complete financial record for July. On July 5, how much money did Duncan make?\n" }, { "from": "gpt", "solution": "Look at the 7/5 row. The amount received was $15.00. So, Duncan made $15.00 on July 5.\n", "answer": "15", "table": "| Date | Description | Received | Expenses | Available Funds |\n| --- | --- | --- | --- | --- |\n| | Balance: end of June | | | $450.70 |\n| 7/5 | cleaning the Romeros' pool | $15.00 | | $465.70 |\n| 7/17 | bottle of water | | $1.50 | $464.20 |\n| 7/29 | swim trunks | | $16.80 | $447.40 |" } ] }, { "id": "8344", "image": "8344.png", "conversations": [ { "from": "human", "question": "A vendor who sold bread at farmers' markets counted the number of leftover loaves at the end of each day. According to the table, what was the rate of change between Tuesday and Wednesday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{33 loaves - 28 loaves}{1 day}\n = \\frac{5 loaves}{1 day}\n = 5 loaves per day\nThe rate of change between Tuesday and Wednesday was 5 loaves per day.", "answer": "5", "table": "**Loaves of leftover bread**\n\n| Day | Leftover loaves |\n| --- | --- |\n| Tuesday | 28 |\n| Wednesday | 33 |\n| Thursday | 29 |\n| Friday | 33 |\n| Saturday | 28 |" } ] }, { "id": "8357", "image": "8357.png", "conversations": [ { "from": "human", "question": "Gabriel has $63. How much money will Gabriel have left if he buys a quilt and a beach towel?\n" }, { "from": "gpt", "solution": "Find the total cost of a quilt and a beach towel.\n\n$45 + $12 = $57\n\nNow subtract the total cost from the starting amount.\n\n$63 - $57 = $6\n\nGabriel will have $6 left.", "answer": "6", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| flannel sheet | $25 |\n| beach towel | $12 |\n| quilt | $45 |\n| fleece blanket | $14 |\n| beach blanket | $13 |" } ] }, { "id": "8362", "image": "8362.png", "conversations": [ { "from": "human", "question": "Each box has 5 pumpkin bars. How many pumpkin bars are in 3 boxes?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 15 pumpkin bars in 3 boxes.", "answer": "15", "table": "| Number of boxes | Number of pumpkin bars |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | ? |" } ] }, { "id": "8363", "image": "8363.png", "conversations": [ { "from": "human", "question": "Abigail, an employee at Harmon's Convenience Store, looked at the sales of each of its soda products. On Sunday, how much more did the convenience store make from Fizzy Fun sales than from Kickin' Coffee sales?\n" }, { "from": "gpt", "solution": "Find the Sunday column. Find the numbers in this column for Fizzy Fun and Kickin' Coffee.\n\nFizzy Fun: $9.00\nKickin' Coffee: $3.00\n\nNow subtract:\n\n$9.00 − $3.00 = $6.00\n\nOn Sunday, the convenience store made $6 more from Fizzy Fun sales than from Kickin' Coffee sales.", "answer": "6", "table": "**Convenience store beverage sales**\n\n| Beverage | Saturday | Sunday |\n| --- | --- | --- |\n| Kickin' Coffee | $9 | $3 |\n| Olde Tyme Cola | $7 | $19 |\n| Fizzy Fun | $2 | $9 |" } ] }, { "id": "8370", "image": "8370.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Kirk just missed the 10.00 A.M. bus at the post office. What time is the next bus?\n" }, { "from": "gpt", "solution": "Find 10:00 A. M. in the row for the post office.\n\nLook for the next bus in that row.\n\nThe next bus is at 10:15 A. M.", "answer": "10:15 A.M.", "table": "**Bus schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 |\n| --- | --- | --- | --- |\n| the post office | 10:00 A.M. | 10:15 A.M. | 10:30 A.M. |\n| the grocery store | 11:00 A.M. | 11:15 A.M. | 11:30 A.M. |\n| the movie theater | 12:00 P.M. | 12:15 P.M. | 12:30 P.M. |\n| the mall | 1:00 P.M. | 1:15 P.M. | 1:30 P.M. |" } ] }, { "id": "8372", "image": "8372.png", "conversations": [ { "from": "human", "question": "Camille, an aspiring meteorologist, spent the past few weekends studying the clouds. She took detailed notes on the types of clouds observed and the time of day they were observed. What is the probability that a randomly selected cloud was marked as stratus and was observed in the afternoon? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the cloud was marked as stratus\" and B be the event \"the cloud was observed in the afternoon\".\nTo find the probability that a cloud was marked as stratus and was observed in the afternoon, first identify the sample space and the event.\nThe outcomes in the sample space are the different clouds. Each cloud is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the cloud was marked as stratus and was observed in the afternoon\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the cloud was marked as stratus and was observed in the afternoon\", so look at the table to see how many clouds were marked as stratus and were observed during the afternoon.\nThe number of clouds that were marked as stratus and were observed during the afternoon is 3.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of clouds.\n7 + 2 + 7 + 3 = 19\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{3}{19}\nThe probability that a cloud was marked as stratus and was observed in the afternoon is \\frac{3}{19}.", "answer": "3/19", "table": "| | Morning | Afternoon |\n| --- | --- | --- |\n| Stratocumulus | 7 | 7 |\n| Stratus | 2 | 3 |" } ] }, { "id": "8379", "image": "8379.png", "conversations": [ { "from": "human", "question": "The members of the local garden club tallied the number of plants in each person's garden. How many gardens have at least 40 plants but fewer than 60 plants?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 4 and 5.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 gardens have at least 40 plants but fewer than 60 plants.", "answer": "3", "table": "**Plants per garden**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1, 5 |\n| 2 | 3, 4, 9 |\n| 3 | 7, 8, 8 |\n| 4 | 6, 8 |\n| 5 | 3 |\n| 6 | 0, 4, 5, 6, 6, 7, 8, 9 |" } ] }, { "id": "8380", "image": "8380.png", "conversations": [ { "from": "human", "question": "How much more does a barbecue grill cost than an oven?\n" }, { "from": "gpt", "solution": "Subtract the price of an oven from the price of a barbecue grill.\n\n$946.00 - $736.00 = $210.00\n\nA barbecue grill costs $210.00 more than an oven.", "answer": "210", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| refrigerator | $536.00 |\n| clothes dryer | $253.00 |\n| oven | $736.00 |\n| stove | $750.00 |\n| washing machine | $828.00 |\n| barbecue grill | $946.00 |" } ] }, { "id": "8384", "image": "8384.png", "conversations": [ { "from": "human", "question": "Mr. Dodson, a track coach, recorded the sizes of all the nearby track teams. What is the size of the largest team?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 9.\n\nNow find the highest leaf in the last row. The highest leaf is 0.\n\nThe size of the largest team has a stem of 9 and a leaf of 0. Write the stem first, then the leaf: 90.\n\nThe size of the largest team is 90 members.", "answer": "90", "table": "**Track team sizes (number of members)**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 9 |\n| 3 | 0 |\n| 4 | |\n| 5 | 7 |\n| 6 | 3, 5 |\n| 7 | |\n| 8 | 9 |\n| 9 | 0 |" } ] }, { "id": "8388", "image": "8388.png", "conversations": [ { "from": "human", "question": "The city recorded how many fire hydrants there are on each street. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 8, 7, 8, 2, 2\n\nFirst, count how many numbers are in the group.\n\nThere are 6 numbers.\n\nNow add all the numbers together:\n\n9 + 8 + 7 + 8 + 2 + 2 = 36\n\nNow divide the sum by the number of numbers:\n\n36 ÷ 6 = 6\n\nThe mean is 6.", "answer": "6", "table": "**Fire hydrants**\n\n| Street | Number of hydrants |\n| --- | --- |\n| Oak Street | 9 |\n| Aspen Street | 8 |\n| Lemon Street | 7 |\n| Rose Street | 8 |\n| Cherry Street | 2 |\n| Fir Street | 2 |" } ] }, { "id": "8390", "image": "8390.png", "conversations": [ { "from": "human", "question": "A girl compared the ages of her cousins. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 3, 3, 7, 6, 7, 3, 3\n\nFirst, arrange the numbers from least to greatest:\n\n3, 3, 3, 3, 6, 6, 7, 7\n\nNow count how many times each number appears.\n\n3 appears 4 times.\n6 appears 2 times.\n7 appears 2 times.\n\nThe number that appears most often is 3.\n\nThe mode is 3.", "answer": "3", "table": "**Ages of cousins**\n\n| Name | Age (years) |\n| --- | --- |\n| Darnel | 6 |\n| Elise | 3 |\n| Tisha | 3 |\n| Scarlett | 7 |\n| Jerry | 6 |\n| Harper | 7 |\n| Betty | 3 |\n| Vicky | 3 |" } ] }, { "id": "8393", "image": "8393.png", "conversations": [ { "from": "human", "question": "During Fitness Day at school, Samantha and her classmates took part in a pull-up competition, keeping track of the results. How many people did at least 70 pull-ups?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 7, 8, and 9.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 people did at least 70 pull-ups.", "answer": "2", "table": "**Pull-up competition (number of pull-ups)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 6 |\n| 2 | 4 |\n| 3 | 6, 9 |\n| 4 | 0, 1 |\n| 5 | 0, 8 |\n| 6 | 3, 4, 4, 8 |\n| 7 | 4 |\n| 8 | |\n| 9 | 0 |" } ] }, { "id": "8403", "image": "8403.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $695, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $695, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $675 | 20,200 | 7,900 |\n| $685 | 15,600 | 11,300 |\n| $695 | 11,000 | 14,700 |\n| $705 | 6,400 | 18,100 |\n| $715 | 1,800 | 21,500 |" } ] }, { "id": "8404", "image": "8404.png", "conversations": [ { "from": "human", "question": "Some friends played a trivia game and recorded their scores. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n10, 12, 10, 9, 10, 8, 9, 8\n\nFirst, find the greatest number. The greatest number is 12.\n\nNext, find the least number. The least number is 8.\n\nSubtract the least number from the greatest number:\n\n12 − 8 = 4\n\nThe range is 4.", "answer": "4", "table": "**Trivia game scores**\n\n| Name | Score |\n| --- | --- |\n| Erica | 10 |\n| Dirk | 12 |\n| Lillian | 10 |\n| Malik | 9 |\n| Grayson | 10 |\n| Seth | 8 |\n| Justine | 9 |\n| Andrew | 8 |" } ] }, { "id": "8406", "image": "8406.png", "conversations": [ { "from": "human", "question": "A stock broker followed the stock prices of a certain set of companies. How much did Houston Sporting Goods's stock cost on Thursday?\n" }, { "from": "gpt", "solution": "First, find the row for Houston Sporting Goods. Then find the number in the Thursday column.\n\nThis number is $12.00. Houston Sporting Goods's stock cost $12 on Thursday.", "answer": "12", "table": "**Stock prices**\n\n| Company | Wednesday | Thursday |\n| --- | --- | --- |\n| White and Company | $17 | $11 |\n| Houston Sporting Goods | $17 | $12 |\n| Watson and Partners | $14 | $10 |" } ] }, { "id": "8411", "image": "8411.png", "conversations": [ { "from": "human", "question": "Seth counted the number of articles in several different magazines. How many magazines had less than 30 articles?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1 and 2.\n\nYou counted 9 leaves, which are blue in the stem-and-leaf plot above. 9 magazines had less than 30 articles.", "answer": "9", "table": "**Articles per magazine**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1, 1, 1, 5, 8, 9, 9 |\n| 2 | 4, 5 |\n| 3 | 0, 1, 2, 3, 3, 7, 8, 8, 9 |\n| 4 | 2, 2, 5, 9 |" } ] }, { "id": "8415", "image": "8415.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $505, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $505, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $455 | 20,100 | 2,600 |\n| $505 | 16,100 | 7,000 |\n| $555 | 12,100 | 11,400 |\n| $605 | 8,100 | 15,800 |\n| $655 | 4,100 | 20,200 |" } ] }, { "id": "8419", "image": "8419.png", "conversations": [ { "from": "human", "question": "A pizza chef recalled how many pizzas he had made during the past 4 days. On which day did the chef make the fewest pizzas?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 61.\n\nNow find the corresponding day. Friday corresponds to 61.", "answer": "Friday", "table": "**Pizzas made**\n\n| Day | Number of pizzas |\n| --- | --- |\n| Wednesday | 69 |\n| Thursday | 65 |\n| Friday | 61 |\n| Saturday | 64 |" } ] }, { "id": "8426", "image": "8426.png", "conversations": [ { "from": "human", "question": "Preston bought 1 pound of milk chocolate chips, 2 pounds of dark chocolate chips, and 5 pounds of white chocolate chips. How much did he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the milk chocolate chips. Multiply:\n\n$4 × 1 = $4\n\nFind the cost of the dark chocolate chips. Multiply:\n\n$6 × 2 = $12\n\nFind the cost of the white chocolate chips. Multiply:\n\n$6 × 5 = $30\n\nNow find the total cost by adding:\n\n$4 + $12 + $30 = $46\n\nHe spent $46.", "answer": "46", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| white chocolate chips | $6/lb |\n| butterscotch chips | $2/lb |\n| dark chocolate chips | $6/lb |\n| milk chocolate chips | $4/lb |\n| peanut butter chips | $4/lb |" } ] }, { "id": "8430", "image": "8430.png", "conversations": [ { "from": "human", "question": "The local high school found out how many members each club had. How many more members does the history club have than the physics club?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nhistory club: 198\nphysics club: 127\n\nNow subtract: 198 - 127 = 71.\n\nThe history club has 71 more members.", "answer": "71", "table": "**Club membership**\n\n| Club | Number of members |\n| --- | --- |\n| physics club | 127 |\n| history club | 198 |\n| art club | 112 |" } ] }, { "id": "8432", "image": "8432.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{11 - 12}{17 - 16}\n = \\frac{-1}{1}\n = -1\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{9 - 12}{18 - 16}\n = \\frac{-3}{2}\n = -1\\frac{1}{2}\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 16 | 12 |\n| 17 | 11 |\n| 18 | 9 |" } ] }, { "id": "8435", "image": "8435.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{12 - 2}{17 - 16}\n = \\frac{10}{1}\n = 10\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{16 - 2}{18 - 16}\n = \\frac{14}{2}\n = 7\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 16 | 2 |\n| 17 | 12 |\n| 18 | 16 |" } ] }, { "id": "8436", "image": "8436.png", "conversations": [ { "from": "human", "question": "Norwood Flooring tracked the number of broken tiles in each shipment it received last year. How many shipments had exactly 78 broken tiles?\n" }, { "from": "gpt", "solution": "For the number 78, the stem is 7, and the leaf is 8. Find the row where the stem is 7. In that row, count all the leaves equal to 8.\n\nYou counted 1 leaf, which is blue in the stem-and-leaf plot above. 1 shipment had exactly 78 broken tiles.", "answer": "1", "table": "**Broken tiles per shipment**\n\n| Stem | Leaf |\n| --- | --- |\n| 5 | 3, 3, 4, 5, 5, 6, 8 |\n| 6 | 0, 0, 1, 2, 5, 6, 6, 7, 8 |\n| 7 | 0, 3, 4, 5, 6, 7, 8 |\n| 8 | 8 |\n| 9 | 0 |" } ] }, { "id": "8437", "image": "8437.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which class begins at 12.45 P.M.?\n" }, { "from": "gpt", "solution": "Find 12:45 P. M. on the schedule. Handwriting class begins at 12:45 P. M.", "answer": "Handwriting class", "table": "**Class schedule**\n\n| Subject | Begin | End |\n| --- | --- | --- |\n| Spanish | 7:10 A.M. | 7:40 A.M. |\n| Art | 7:45 A.M. | 8:25 A.M. |\n| Spelling | 8:30 A.M. | 9:05 A.M. |\n| Science | 9:10 A.M. | 10:30 A.M. |\n| Reading | 10:35 A.M. | 11:45 A.M. |\n| Gym | 11:50 A.M. | 12:40 P.M. |\n| Handwriting | 12:45 P.M. | 1:15 P.M. |\n| Writing | 1:25 P.M. | 2:35 P.M. |" } ] }, { "id": "8443", "image": "8443.png", "conversations": [ { "from": "human", "question": "Each aquarium has 10 goldfish. How many goldfish are in 4 aquariums?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 40 goldfish in 4 aquariums.", "answer": "40", "table": "| Number of aquariums | Number of goldfish |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | ? |" } ] }, { "id": "8447", "image": "8447.png", "conversations": [ { "from": "human", "question": "Eddie has $144.68. How much money will Eddie have left if he buys an alarm clock and a cell phone?\n" }, { "from": "gpt", "solution": "Find the total cost of an alarm clock and a cell phone.\n\n$25.92 + $35.41 = $61.33\n\nNow subtract the total cost from the starting amount.\n\n$144.68 - $61.33 = $83.35\n\nEddie will have $83.35 left.", "answer": "83.35", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| alarm clock | $25.92 |\n| cell phone | $35.41 |\n| computer mouse | $16.03 |\n| calculator | $34.65 |" } ] }, { "id": "8449", "image": "8449.png", "conversations": [ { "from": "human", "question": "A pizza delivery driver paid attention to how many pizzas he delivered over the past 4 days. On which day did the driver deliver the most pizzas?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 18.\n\nNow find the corresponding day. Saturday corresponds to 18.", "answer": "Saturday", "table": "**Pizzas delivered**\n\n| Day | Number of pizzas |\n| --- | --- |\n| Thursday | 15 |\n| Friday | 13 |\n| Saturday | 18 |\n| Sunday | 14 |" } ] }, { "id": "8451", "image": "8451.png", "conversations": [ { "from": "human", "question": "Sophia wrote down how many cups of lemonade she sold in the past 5 days. How many cups in total did the lemonade stand sell on Tuesday and Friday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nTuesday: 178\nFriday: 188\n\nNow add: 178 + 188 = 366.\n\nThe lemonade stand sold 366 cups on Tuesday and Friday.", "answer": "366", "table": "**Cups of lemonade sold**\n\n| Day | Number of cups |\n| --- | --- |\n| Monday | 681 |\n| Tuesday | 178 |\n| Wednesday | 166 |\n| Thursday | 135 |\n| Friday | 188 |" } ] }, { "id": "8452", "image": "8452.png", "conversations": [ { "from": "human", "question": "How much money does Sofia need to buy a rock-climbing adventure package, a deep-sea fishing package, and a whale-watching adventure package?\n" }, { "from": "gpt", "solution": "Find the total cost of a rock-climbing adventure package, a deep-sea fishing package, and a whale-watching adventure package.\n\n$366.00 + $735.00 + $927.00 = $2,028.00\n\nSofia needs $2,028.00.", "answer": "2,028", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| surfing adventure package | $592.00 |\n| deep-sea fishing package | $735.00 |\n| whale-watching adventure package | $927.00 |\n| rock-climbing adventure package | $366.00 |" } ] }, { "id": "8456", "image": "8456.png", "conversations": [ { "from": "human", "question": "An art instructor kept track of how many total pictures were painted by each of the people enrolled in his class. How many people painted fewer than 2 pictures?\n" }, { "from": "gpt", "solution": "Find the rows for 0 and 1 picture. Add the frequencies for these rows.\n\nAdd:\n\n8 + 0 = 8\n\n8 people painted fewer than 2 pictures.", "answer": "8", "table": "**Painting pictures**\n\n| Pictures painted | Frequency |\n| --- | --- |\n| 0 | 8 |\n| 1 | 0 |\n| 2 | 14 |\n| 3 | 1 |" } ] }, { "id": "8460", "image": "8460.png", "conversations": [ { "from": "human", "question": "Rosa baked cookies each day for a bake sale. On which day did Rosa bake the fewest cookies?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 30.\n\nNow find the corresponding day. Thursday corresponds to 30.", "answer": "Thursday", "table": "**Cookies baked**\n\n| Day | Number of cookies |\n| --- | --- |\n| Thursday | 30 |\n| Friday | 36 |\n| Saturday | 31 |\n| Sunday | 32 |" } ] }, { "id": "8475", "image": "8475.png", "conversations": [ { "from": "human", "question": "The city library monitored the number of books checked out each day. On which day were the fewest books checked out?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 536.\n\nNow find the corresponding day. Saturday corresponds to 536.", "answer": "Saturday", "table": "**Books checked out**\n\n| Day | Number of books |\n| --- | --- |\n| Saturday | 536 |\n| Sunday | 556 |\n| Monday | 569 |\n| Tuesday | 538 |" } ] }, { "id": "8489", "image": "8489.png", "conversations": [ { "from": "human", "question": "To figure out how many vacation days she had left to use, Christina looked over her old calendars to figure out how many days of vacation she had taken each year. According to the table, what was the rate of change between 2019 and 2020?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{14 vacation days - 14 vacation days}{2020 - 2019}\n = \\frac{14 vacation days - 14 vacation days}{1 year}\n = \\frac{0 vacation days}{1 year}\n = 0 vacation days per year\nThe rate of change between 2019 and 2020 was 0 vacation days per year.", "answer": "0", "table": "**Vacation days taken by Christina**\n\n| Year | Vacation days |\n| --- | --- |\n| 2017 | 21 |\n| 2018 | 12 |\n| 2019 | 14 |\n| 2020 | 14 |\n| 2021 | 15 |" } ] }, { "id": "8490", "image": "8490.png", "conversations": [ { "from": "human", "question": "Each drawer has 2 flashlights. How many flashlights are in 6 drawers?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 12 flashlights in 6 drawers.", "answer": "12", "table": "| Number of drawers | Number of flashlights |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | 6 |\n| 4 | 8 |\n| 5 | 10 |\n| 6 | ? |" } ] }, { "id": "8500", "image": "8500.png", "conversations": [ { "from": "human", "question": "Danielle is looking at the price of new cell phones online. Her favorite company, OrangeTech, has a special this weekend. Danielle can add an upgrade to a phone for an additional cost, or she can buy a used phone to get a discount. The change in price for each option is shown in the table. Which option results in a greater change in price?\n" }, { "from": "gpt", "solution": "To find the option that results in a greater change in price, use absolute value. Absolute value tells you how much the price changes.\nAdd an upgrade: |$60| = $60\nBuy a used phone: |-$75| = $75\nBuying a used phone results in a greater change in price. It reduces the price by $75.", "answer": "buying a used phone", "table": "| Option | Change in phone price |\n| --- | --- |\n| Add an upgrade | $60 |\n| Buy a used phone | -$75 |" } ] }, { "id": "8506", "image": "8506.png", "conversations": [ { "from": "human", "question": "An athlete counted how many autographs he signed each day. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 9, 2, 8, 5, 10\n\nFirst, find the greatest number. The greatest number is 10.\n\nNext, find the least number. The least number is 2.\n\nSubtract the least number from the greatest number:\n\n10 − 2 = 8\n\nThe range is 8.", "answer": "8", "table": "**Autographs signed**\n\n| Day | Number of autographs |\n| --- | --- |\n| Tuesday | 6 |\n| Wednesday | 9 |\n| Thursday | 2 |\n| Friday | 8 |\n| Saturday | 5 |\n| Sunday | 10 |" } ] }, { "id": "8512", "image": "8512.png", "conversations": [ { "from": "human", "question": "Ayana wants to buy 1 kilogram of cream cheese, 5 kilograms of butter, and 4 kilograms of cottage cheese. How much will she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the cream cheese. Multiply:\n\n$1.31 × 1 = $1.31\n\nFind the cost of the butter. Multiply:\n\n$2.09 × 5 = $10.45\n\nFind the cost of the cottage cheese. Multiply:\n\n$1.64 × 4 = $6.56\n\nNow find the total cost by adding:\n\n$1.31 + $10.45 + $6.56 = $18.32\n\nShe will spend $18.32.", "answer": "18.32", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| butter | $2.09/kilogram |\n| cottage cheese | $1.64/kilogram |\n| sour cream | $1.75/kilogram |\n| Greek yogurt | $1.96/kilogram |\n| cream cheese | $1.31/kilogram |" } ] }, { "id": "8517", "image": "8517.png", "conversations": [ { "from": "human", "question": "Each year, the campers at Samuel's summer camp try to set that summer's record for finishing the obstacle course as quickly as possible. According to the table, what was the rate of change between 2009 and 2010?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{30 minutes - 22 minutes}{2010 - 2009}\n = \\frac{30 minutes - 22 minutes}{1 year}\n = \\frac{8 minutes}{1 year}\n = 8 minutes per year\nThe rate of change between 2009 and 2010 was 8 minutes per year.", "answer": "8", "table": "**Record obstacle course completion times**\n\n| Year | Record time (minutes) |\n| --- | --- |\n| 2008 | 22 |\n| 2009 | 22 |\n| 2010 | 30 |\n| 2011 | 25 |\n| 2012 | 23 |" } ] }, { "id": "8525", "image": "8525.png", "conversations": [ { "from": "human", "question": "Dr. Durham, a pediatrician, weighed all the children who recently visited his office. How many children weighed exactly 90 pounds?\n" }, { "from": "gpt", "solution": "For the number 90, the stem is 9, and the leaf is 0. Find the row where the stem is 9. In that row, count all the leaves equal to 0.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 children weighed exactly 90 pounds.", "answer": "3", "table": "**Children's weights (lbs)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 9 |\n| 2 | 8 |\n| 3 | 3, 3, 9 |\n| 4 | 2 |\n| 5 | 8 |\n| 6 | 4 |\n| 7 | 0, 3 |\n| 8 | 8 |\n| 9 | 0, 0, 0 |" } ] }, { "id": "8526", "image": "8526.png", "conversations": [ { "from": "human", "question": "The parks department compared how many basketball hoops there are at each park. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 8, 10, 9, 1\n\nFirst, count how many numbers are in the group.\n\nThere are 5 numbers.\n\nNow add all the numbers together:\n\n7 + 8 + 10 + 9 + 1 = 35\n\nNow divide the sum by the number of numbers:\n\n35 ÷ 5 = 7\n\nThe mean is 7.", "answer": "7", "table": "**Basketball hoops**\n\n| Park | Number of basketball hoops |\n| --- | --- |\n| Canal Park | 7 |\n| Linden Park | 8 |\n| Pinehurst Park | 10 |\n| Riverfront Park | 9 |\n| Otter Park | 1 |" } ] }, { "id": "8529", "image": "8529.png", "conversations": [ { "from": "human", "question": "A toy store employee counted the number of toys in each bin in the sale section. What is the smallest number of toys?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 1.\n\nNow find the lowest leaf in the first row. The lowest leaf is 3.\n\nThe smallest number of toys has a stem of 1 and a leaf of 3. Write the stem first, then the leaf: 13.\n\nThe smallest number of toys is 13 toys.", "answer": "13", "table": "**Toys per bin**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 3 |\n| 2 | 0, 7 |\n| 3 | 2, 3, 7, 8 |\n| 4 | 8 |\n| 5 | 0, 2, 4, 8 |\n| 6 | 0, 0, 1, 2, 5 |\n| 7 | 7, 9, 9 |\n| 8 | 4 |\n| 9 | 0 |" } ] }, { "id": "8532", "image": "8532.png", "conversations": [ { "from": "human", "question": "Owen's P.E. class participated in a push-up competition, and Owen wrote down how many push-ups each person could do. How many people did at least 60 push-ups but fewer than 90 push-ups?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 6, 7, and 8.\n\nYou counted 6 leaves, which are blue in the stem-and-leaf plot above. 6 people did at least 60 push-ups but fewer than 90 push-ups.", "answer": "6", "table": "**Push-up competition (number of push-ups)**\n\n| Stem | Leaf |\n| --- | --- |\n| 5 | 4 |\n| 6 | 0, 0, 0 |\n| 7 | 3, 4 |\n| 8 | 0 |\n| 9 | 0 |" } ] }, { "id": "8549", "image": "8549.png", "conversations": [ { "from": "human", "question": "The members of the local garden club tallied the number of plants in each person's garden. How many gardens have at least 22 plants?\n" }, { "from": "gpt", "solution": "Find the row with stem 2. Count all the leaves greater than or equal to 2.\n\nCount all the leaves in the rows with stems 3, 4, and 5.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plots above. 4 gardens have at least 22 plants.", "answer": "4", "table": "**Plants per garden**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 4, 6, 7, 9 |\n| 2 | 1 |\n| 3 | 0 |\n| 4 | 3 |\n| 5 | 3, 8 |" } ] }, { "id": "8556", "image": "8556.png", "conversations": [ { "from": "human", "question": "Jenny's classmates revealed how many science articles they read. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 2, 7, 3, 3, 2, 9, 7\n\nFirst, find the greatest number. The greatest number is 9.\n\nNext, find the least number. The least number is 2.\n\nSubtract the least number from the greatest number:\n\n9 − 2 = 7\n\nThe range is 7.", "answer": "7", "table": "**Science articles read**\n\n| Name | Number of science articles |\n| --- | --- |\n| Jenny | 9 |\n| Annie | 2 |\n| Cole | 7 |\n| Ian | 3 |\n| Rita | 3 |\n| Zach | 2 |\n| Maggie | 9 |\n| Felipe | 7 |" } ] }, { "id": "8557", "image": "8557.png", "conversations": [ { "from": "human", "question": "For a social studies project, Ava counted the number of classrooms in each school in the city. How many schools have at least 30 classrooms?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 3, 4, 5, and 6.\n\nYou counted 7 leaves, which are blue in the stem-and-leaf plot above. 7 schools have at least 30 classrooms.", "answer": "7", "table": "**Classrooms per school**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 3 |\n| 3 | 5 |\n| 4 | 6 |\n| 5 | |\n| 6 | 0, 1, 3, 4, 4 |" } ] }, { "id": "8568", "image": "8568.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{3 - 10}{6 - 5}\n = \\frac{-7}{1}\n = -7\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{2 - 10}{7 - 5}\n = \\frac{-8}{2}\n = -4\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 5 | 10 |\n| 6 | 3 |\n| 7 | 2 |" } ] }, { "id": "8577", "image": "8577.png", "conversations": [ { "from": "human", "question": "How much more does a laboratory freezer cost than a case of beakers?\n" }, { "from": "gpt", "solution": "Subtract the price of a case of beakers from the price of a laboratory freezer.\n\n$956.00 - $104.00 = $852.00\n\nA laboratory freezer costs $852.00 more than a case of beakers.", "answer": "852", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| laboratory freezer | $956.00 |\n| telescope | $879.00 |\n| case of beakers | $104.00 |\n| microscope | $947.00 |" } ] }, { "id": "8584", "image": "8584.png", "conversations": [ { "from": "human", "question": "Each cage has 5 gerbils. How many gerbils are in 5 cages?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 25 gerbils in 5 cages.", "answer": "25", "table": "| Number of cages | Number of gerbils |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | 20 |\n| 5 | ? |" } ] }, { "id": "8586", "image": "8586.png", "conversations": [ { "from": "human", "question": "Desmond counted the total number of shells collected by his friends during a walk on the beach. How many people are there in all?\n" }, { "from": "gpt", "solution": "Add the frequencies for each row.\n\nAdd:\n\n0 + 7 + 5 + 12 = 24\n\nThere are 24 people in all.", "answer": "24", "table": "**Finding seashells**\n\n| Seashells found | Frequency |\n| --- | --- |\n| 0 | 0 |\n| 1 | 7 |\n| 2 | 5 |\n| 3 | 12 |" } ] }, { "id": "8601", "image": "8601.png", "conversations": [ { "from": "human", "question": "How much money does Tiana need to buy 2 tiny bottles of sand?\n" }, { "from": "gpt", "solution": "Find the total cost of 2 tiny bottles of sand by multiplying 2 times the price of a tiny bottle of sand.\n\n$0.33 × 2 = $0.66\n\nTiana needs $0.66.", "answer": "0.66", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| sand castle magnet | $0.77 |\n| pin with a picture of the beach | $0.20 |\n| tiny bottle of sand | $0.33 |\n| palm tree magnet | $0.51 |" } ] }, { "id": "8602", "image": "8602.png", "conversations": [ { "from": "human", "question": "The board of commerce gave a survey to determine how many employees work at each company. Which company has the most employees?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 28.\n\nNow find the corresponding company. Township Real Estate corresponds to 28.", "answer": "Township Real Estate", "table": "**Company sizes**\n\n| Company | Number of employees |\n| --- | --- |\n| Wakefield and Watson | 20 |\n| A to Z Books | 27 |\n| Township Real Estate | 28 |\n| Country Bakery | 24 |" } ] }, { "id": "8604", "image": "8604.png", "conversations": [ { "from": "human", "question": "At a school carnival, a curious student volunteer counted the number of times visitors to her booth spun the numbers 1 through 6. How many people spun a number less than 4?\n" }, { "from": "gpt", "solution": "Find the rows for 1, 2, and 3. Add the frequencies for these rows.\n\nAdd:\n\n2 + 14 + 15 = 31\n\n31 people spun a number less than 4.", "answer": "31", "table": "**Spinning a wheel numbered 1 through 6**\n\n| Number spun | Frequency |\n| --- | --- |\n| 1 | 2 |\n| 2 | 14 |\n| 3 | 15 |\n| 4 | 12 |\n| 5 | 3 |\n| 6 | 6 |" } ] }, { "id": "8605", "image": "8605.png", "conversations": [ { "from": "human", "question": "Kiera looked over her calendar to see how many times she had soccer practice each month. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n10, 8, 7, 8, 10, 6, 7\n\nFirst, arrange the numbers from least to greatest:\n\n6, 7, 7, 8, 8, 10, 10\n\nNow find the number in the middle.\n\n6, 7, 7, 8, 8, 10, 10\n\nThe number in the middle is 8.\n\nThe median is 8.", "answer": "8", "table": "**Soccer practice**\n\n| Month | Number of practices |\n| --- | --- |\n| May | 10 |\n| June | 8 |\n| July | 7 |\n| August | 8 |\n| September | 10 |\n| October | 6 |\n| November | 7 |" } ] }, { "id": "8608", "image": "8608.png", "conversations": [ { "from": "human", "question": "Some friends compared the sizes of their sticker collections. Who has the fewest stickers?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 767.\n\nNow find the corresponding name. Robert corresponds to 767.", "answer": "Robert", "table": "**Sticker collections**\n\n| Name | Number of stickers |\n| --- | --- |\n| Tina | 778 |\n| Emma | 796 |\n| Robert | 767 |\n| Jamie | 769 |" } ] }, { "id": "8609", "image": "8609.png", "conversations": [ { "from": "human", "question": "How much money does Anne need to buy 5 photo albums?\n" }, { "from": "gpt", "solution": "Find the total cost of 5 photo albums by multiplying 5 times the price of a photo album.\n\n$42.00 × 5 = $210.00\n\nAnne needs $210.00.", "answer": "210", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| dictionary | $12.00 |\n| book of poems | $16.00 |\n| math book | $15.00 |\n| photo album | $42.00 |" } ] }, { "id": "8615", "image": "8615.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does the dance performance begin?\n" }, { "from": "gpt", "solution": "Find the dance performance on the schedule. Find the beginning time for the dance performance.\n\ndance performance: 10:15 A. M.", "answer": "10:15 A.M.", "table": "**Festival schedule**\n\n| Event | Begin | End |\n| --- | --- | --- |\n| dance performance | 10:15 A.M. | 12:45 P.M. |\n| choir concert | 12:55 P.M. | 2:40 P.M. |\n| drumming performance | 2:50 P.M. | 3:50 P.M. |\n| award ceremony | 3:10 P.M. | 4:30 P.M. |\n| keynote speech | 4:20 P.M. | 6:00 P.M. |" } ] }, { "id": "8619", "image": "8619.png", "conversations": [ { "from": "human", "question": "What is the total cost for 3 kilograms of green paper scrap?\n" }, { "from": "gpt", "solution": "Find the cost of the green paper scrap. Multiply the price per kilogram by the number of kilograms.\n\n$4.97 × 3 = $14.91\n\nThe total cost is $14.91.", "answer": "14.91", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| rainbow paper scrap | $5.12/kg |\n| blue paper scrap | $4.74/kg |\n| green paper scrap | $4.97/kg |\n| gold paper scrap | $5.21/kg |\n| silver paper scrap | $4.57/kg |" } ] }, { "id": "8631", "image": "8631.png", "conversations": [ { "from": "human", "question": "Kiara, an aspiring meteorologist, spent the past few weekends studying the clouds. She took detailed notes on the types of clouds observed and the time of day they were observed. What is the probability that a randomly selected cloud was observed in the morning and was marked as stratus? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the cloud was observed in the morning\" and B be the event \"the cloud was marked as stratus\".\nTo find the probability that a cloud was observed in the morning and was marked as stratus, first identify the sample space and the event.\nThe outcomes in the sample space are the different clouds. Each cloud is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the cloud was observed in the morning and was marked as stratus\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the cloud was observed in the morning and was marked as stratus\", so look at the table to see how many clouds were observed during the morning and were marked as stratus.\nThe number of clouds that were observed during the morning and were marked as stratus is 5.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of clouds.\n2 + 5 + 5 + 4 = 16\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{5}{16}\nThe probability that a cloud was observed in the morning and was marked as stratus is \\frac{5}{16}.", "answer": "5/16", "table": "| | Stratocumulus | Stratus |\n| --- | --- | --- |\n| Morning | 2 | 5 |\n| Afternoon | 5 | 4 |" } ] }, { "id": "8634", "image": "8634.png", "conversations": [ { "from": "human", "question": "For an economics project, Alana determined the cost of ferry rides for bicycles and cars. On the Fauntleroy-Vashon ferry, how much higher is the fare for a car than for a bicycle?\n" }, { "from": "gpt", "solution": "Find the Fauntleroy-Vashon row. Find the numbers in this row for car and bicycle.\n\ncar: $15.00\nbicycle: $5.00\n\nNow subtract:\n\n$15.00 − $5.00 = $10.00\n\nOn the Fauntleroy-Vashon ferry, the fare for a car is $10 higher than the fare for a bicycle.", "answer": "10", "table": "**Ferry fares**\n\n| Ferry | Bicycle | Car |\n| --- | --- | --- |\n| Ocracoke | $3 | $15 |\n| Southport-Fort Fisher | $2 | $5 |\n| Fauntleroy-Vashon | $5 | $15 |" } ] }, { "id": "8635", "image": "8635.png", "conversations": [ { "from": "human", "question": "Each log has 10 butterflies. How many butterflies are on 5 logs?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 50 butterflies on 5 logs.", "answer": "50", "table": "| Number of logs | Number of butterflies |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | 40 |\n| 5 | ? |" } ] }, { "id": "8644", "image": "8644.png", "conversations": [ { "from": "human", "question": "A garden supply store kept track of how many lawn mowers it sold in the past 6 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n21, 22, 22, 20, 24, 19\n\nFirst, find the greatest number. The greatest number is 24.\n\nNext, find the least number. The least number is 19.\n\nSubtract the least number from the greatest number:\n\n24 − 19 = 5\n\nThe range is 5.", "answer": "5", "table": "**Lawn mowers sold**\n\n| Day | Number of lawn mowers |\n| --- | --- |\n| Wednesday | 21 |\n| Thursday | 22 |\n| Friday | 22 |\n| Saturday | 20 |\n| Sunday | 24 |\n| Monday | 19 |" } ] }, { "id": "8646", "image": "8646.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $1,185, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $1,185, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $945 | 19,200 | 7,400 |\n| $1,065 | 17,400 | 8,800 |\n| $1,185 | 15,600 | 10,200 |\n| $1,305 | 13,800 | 11,600 |\n| $1,425 | 12,000 | 13,000 |" } ] }, { "id": "8651", "image": "8651.png", "conversations": [ { "from": "human", "question": "The train conductor made sure to count the number of passengers on each train. How many trains had exactly 64 passengers?\n" }, { "from": "gpt", "solution": "For the number 64, the stem is 6, and the leaf is 4. Find the row where the stem is 6. In that row, count all the leaves equal to 4.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 trains had exactly 64 passengers.", "answer": "4", "table": "**Passengers per train**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 7 |\n| 2 | 2 |\n| 3 | |\n| 4 | 3 |\n| 5 | |\n| 6 | 4, 4, 4, 4 |\n| 7 | |\n| 8 | |\n| 9 | 0 |" } ] }, { "id": "8652", "image": "8652.png", "conversations": [ { "from": "human", "question": "How much money does Malik need to buy 6 trivia games and 9 trampolines?\n" }, { "from": "gpt", "solution": "Find the cost of 6 trivia games.\n\n$35.00 × 6 = $210.00\n\nFind the cost of 9 trampolines.\n\n$41.00 × 9 = $369.00\n\nNow find the total cost.\n\n$210.00 + $369.00 = $579.00\n\nMalik needs $579.00.", "answer": "579", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| remote control car | $32.00 |\n| trampoline | $41.00 |\n| mystery game | $16.00 |\n| trivia game | $35.00 |" } ] }, { "id": "8653", "image": "8653.png", "conversations": [ { "from": "human", "question": "Florence has $12,625. How much money will Florence have left if she buys an Andalusian horse and an Appaloosa horse?\n" }, { "from": "gpt", "solution": "Find the total cost of an Andalusian horse and an Appaloosa horse.\n\n$7,880 + $2,202 = $10,082\n\nNow subtract the total cost from the starting amount.\n\n$12,625 - $10,082 = $2,543\n\nFlorence will have $2,543 left.", "answer": "2,543", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| Andalusian horse | $7,880 |\n| Morgan horse | $5,351 |\n| Arabian horse | $1,403 |\n| Hanoverian horse | $6,753 |\n| Appaloosa horse | $2,202 |" } ] }, { "id": "8658", "image": "8658.png", "conversations": [ { "from": "human", "question": "Some friends played miniature golf and wrote down their scores. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n29, 30, 26, 32, 34, 33, 35\n\nFirst, arrange the numbers from least to greatest:\n\n26, 29, 30, 32, 33, 34, 35\n\nNow find the number in the middle.\n\n26, 29, 30, 32, 33, 34, 35\n\nThe number in the middle is 32.\n\nThe median is 32.", "answer": "32", "table": "**Miniature golf scores**\n\n| Name | Score |\n| --- | --- |\n| Omar | 29 |\n| Lester | 30 |\n| Gordon | 26 |\n| Isabelle | 32 |\n| Darnell | 34 |\n| Steven | 33 |\n| Travis | 35 |" } ] }, { "id": "8659", "image": "8659.png", "conversations": [ { "from": "human", "question": "How much money does Elizabeth need to buy a cup of milk, a spinach salad, and a slice of pizza?\n" }, { "from": "gpt", "solution": "Find the total cost of a cup of milk, a spinach salad, and a slice of pizza.\n\n$1.23 + $6.00 + $2.91 = $10.14\n\nElizabeth needs $10.14.", "answer": "10.14", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| cup of coffee | $1.10 |\n| spinach salad | $6.00 |\n| slice of pizza | $2.91 |\n| cup of milk | $1.23 |\n| bag of pretzels | $1.69 |" } ] }, { "id": "8663", "image": "8663.png", "conversations": [ { "from": "human", "question": "A philanthropic organization compared the amounts of money that its members donated to certain causes. Who donated more money to arts education, Aubrey or Connor?\n" }, { "from": "gpt", "solution": "Find the Arts education column. Compare the numbers in this column for Aubrey and Connor.\n\n$19.00 is more than $16.00. Connor donated more money to arts education.", "answer": "Connor", "table": "**Donations**\n\n| Person | Clean water | Arts education |\n| --- | --- | --- |\n| Joy | $16 | $12 |\n| Harold | $6 | $6 |\n| Aubrey | $17 | $16 |\n| Connor | $11 | $19 |" } ] }, { "id": "8664", "image": "8664.png", "conversations": [ { "from": "human", "question": "A statistician analyzed the number of runs scored by players last season. How many players scored at least 2 runs last season?\n" }, { "from": "gpt", "solution": "Find the rows for 2, 3, 4, and 5 runs last season. Add the frequencies for these rows.\n\nAdd:\n\n20 + 11 + 3 + 19 = 53\n\n53 players scored at least 2 runs last season.", "answer": "53", "table": "**Baseball runs scored last season**\n\n| Runs scored | Frequency |\n| --- | --- |\n| 0 | 16 |\n| 1 | 12 |\n| 2 | 20 |\n| 3 | 11 |\n| 4 | 3 |\n| 5 | 19 |" } ] }, { "id": "8674", "image": "8674.png", "conversations": [ { "from": "human", "question": "Sidney bought 0.6 pounds of lentils. How much did she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the lentils. Multiply the price per pound by the number of pounds.\n$3 × 0.6 = $1.80\nShe spent $1.80.", "answer": "1.80", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| mung beans | $1/lb |\n| garbanzo beans | $3/lb |\n| lentils | $3/lb |\n| lima beans | $3/lb |" } ] }, { "id": "8677", "image": "8677.png", "conversations": [ { "from": "human", "question": "Each table has 5 candles. How many candles are on 5 tables?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 25 candles on 5 tables.", "answer": "25", "table": "| Number of tables | Number of candles |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | 20 |\n| 5 | ? |" } ] }, { "id": "8683", "image": "8683.png", "conversations": [ { "from": "human", "question": "Annie figured out the scores at the end of a card game. How many people scored more than 5?\n" }, { "from": "gpt", "solution": "Find the rows for 6, 7, 8, 9, and 10. Add the frequencies for these rows.\n\nAdd:\n\n10 + 0 + 8 + 2 + 7 = 27\n\n27 people scored more than 5.", "answer": "27", "table": "**Scores in a card game**\n\n| Score | Frequency |\n| --- | --- |\n| 4 | 3 |\n| 5 | 1 |\n| 6 | 10 |\n| 7 | 0 |\n| 8 | 8 |\n| 9 | 2 |\n| 10 | 7 |" } ] }, { "id": "8699", "image": "8699.png", "conversations": [ { "from": "human", "question": "Mrs. McClure, the science teacher, informed her students of their scores on Monday's test. How many students scored at least 25 points but fewer than 74 points?\n" }, { "from": "gpt", "solution": "Find the row with stem 2. Count all the leaves greater than or equal to 5.\n\nCount all the leaves in the rows with stems 3, 4, 5, and 6.\n\nIn the row with stem 7, count all the leaves less than 4.\n\nYou counted 5 leaves, which are blue in the stem-and-leaf plots above. 5 students scored at least 25 points but fewer than 74 points.", "answer": "5", "table": "**Science test scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 8 |\n| 2 | 7 |\n| 3 | 4, 9 |\n| 4 | 8 |\n| 5 | |\n| 6 | |\n| 7 | 0, 6 |\n| 8 | 0, 6 |" } ] }, { "id": "8705", "image": "8705.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Carrie got on the bus at the train station at 10.30 A.M. What time will she get to the art museum?\n" }, { "from": "gpt", "solution": "Find 10:30 A. M. in the row for the train station. That column shows the schedule for the bus that Carrie is on.\n\nLook down the column until you find the row for the art museum.\n\nCarrie will get to the art museum at 11:00 A. M.", "answer": "11:00 A.M.", "table": "**Hotel shuttle bus schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 | Column 5 | Column 6 |\n| --- | --- | --- | --- | --- | --- |\n| park | 9:30 A.M. | 10:15 A.M. | 10:30 A.M. | 10:45 A.M. | 11:00 A.M. |\n| train station | 10:30 A.M. | 11:15 A.M. | 11:30 A.M. | 11:45 A.M. | 12:00 P.M. |\n| art museum | 11:00 A.M. | 11:45 A.M. | 12:00 P.M. | 12:15 P.M. | 12:30 P.M. |\n| hotel | 12:00 P.M. | 12:45 P.M. | 1:00 P.M. | 1:15 P.M. | 1:30 P.M. |\n| baseball stadium | 1:00 P.M. | 1:45 P.M. | 2:00 P.M. | 2:15 P.M. | 2:30 P.M. |" } ] }, { "id": "8707", "image": "8707.png", "conversations": [ { "from": "human", "question": "A customer at a sushi restaurant was examining the types of sushi rolls offered on the menu. Rolls vary by type of fish and level of spiciness. Rolls only contain one type of fish. What is the probability that a randomly selected sushi roll is labeled a little spicy and contains salmon? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the sushi roll is labeled a little spicy\" and B be the event \"the sushi roll contains salmon\".\nTo find the probability that a sushi roll is labeled a little spicy and contains salmon, first identify the sample space and the event.\nThe outcomes in the sample space are the different sushi rolls. Each sushi roll is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the sushi roll is labeled a little spicy and contains salmon\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the sushi roll is labeled a little spicy and contains salmon\", so look at the table to see how many sushi rolls are labeled a little spicy and contain salmon.\nThe number of sushi rolls that are labeled a little spicy and contain salmon is 5.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of sushi rolls.\n5 + 6 + 3 + 5 = 19\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{5}{19}\nThe probability that a sushi roll is labeled a little spicy and contains salmon is \\frac{5}{19}.", "answer": "5/19", "table": "| | Yellowtail | Salmon |\n| --- | --- | --- |\n| Not spicy | 5 | 3 |\n| A little spicy | 6 | 5 |" } ] }, { "id": "8714", "image": "8714.png", "conversations": [ { "from": "human", "question": "How much money does Eduardo need to buy 7 badminton sets and 8 baseball bats?\n" }, { "from": "gpt", "solution": "Find the cost of 7 badminton sets.\n\n$11.05 × 7 = $77.35\n\nFind the cost of 8 baseball bats.\n\n$14.46 × 8 = $115.68\n\nNow find the total cost.\n\n$77.35 + $115.68 = $193.03\n\nEduardo needs $193.03.", "answer": "193.03", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| basketball | $11.25 |\n| volleyball | $12.45 |\n| baseball bat | $14.46 |\n| badminton set | $11.05 |" } ] }, { "id": "8718", "image": "8718.png", "conversations": [ { "from": "human", "question": "Each necklace has 10 red beads. How many red beads are on 5 necklaces?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 50 red beads on 5 necklaces.", "answer": "50", "table": "| Number of necklaces | Number of red beads |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | 40 |\n| 5 | ? |" } ] }, { "id": "8732", "image": "8732.png", "conversations": [ { "from": "human", "question": "An administrator at the Department of Motor Vehicles (DMV) tracked the average wait time from month to month. According to the table, what was the rate of change between July and August?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{9 minutes - 16 minutes}{1 month}\n = \\frac{-7 minutes}{1 month}\n = -7 minutes per month\nThe rate of change between July and August was - 7 minutes per month.", "answer": "-7", "table": "**Average waiting time at the DMV**\n\n| Month | Waiting time (minutes) |\n| --- | --- |\n| April | 35 |\n| May | 34 |\n| June | 25 |\n| July | 16 |\n| August | 9 |" } ] }, { "id": "8733", "image": "8733.png", "conversations": [ { "from": "human", "question": "Alice owns six dogs and monitors how much food they eat in a month. What fraction of the food was eaten by Cocoa? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many kilograms of food were eaten by Cocoa.\n\n41\n\nFind how many kilograms of food the dogs ate in total.\n\n34 + 41 + 5 + 10 + 14 + 39 = 143\n\nDivide 41 by143.\n\n\\frac{41}{143}\n\n\\frac{41}{143} of kilograms of food were eaten by Cocoa.", "answer": "41/143", "table": "**Dog food consumption**\n\n| Dog | Kilograms of food |\n| --- | --- |\n| Echo | 34 |\n| Cocoa | 41 |\n| Cuddles | 5 |\n| Scout | 10 |\n| Pepper | 14 |\n| Fuzzy | 39 |" } ] }, { "id": "8736", "image": "8736.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{9 - 16}{12 - 11}\n = \\frac{-7}{1}\n = -7\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{1 - 16}{13 - 11}\n = \\frac{-15}{2}\n = -7\\frac{1}{2}\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 11 | 16 |\n| 12 | 9 |\n| 13 | 1 |" } ] }, { "id": "8738", "image": "8738.png", "conversations": [ { "from": "human", "question": "Molly bought 1/2 of a pound of chocolate popcorn. How much did she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the chocolate popcorn. Multiply the price per pound by the number of pounds.\n$4 × \\frac{1}{2} = $4 × 0.5 = $2\nShe spent $2.", "answer": "2", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| kettle corn | $2 per lb |\n| cheddar popcorn | $1 per lb |\n| ranch popcorn | $4 per lb |\n| chocolate popcorn | $4 per lb |\n| caramel corn | $3 per lb |" } ] }, { "id": "8745", "image": "8745.png", "conversations": [ { "from": "human", "question": "Brenna has $6. Does she have enough to buy a bag of birdseed and a hamster wheel?\n" }, { "from": "gpt", "solution": "Add the price of a bag of birdseed and the price of a hamster wheel:\n\n$3 + $2 = $5\n\n$5 is less than $6. Brenna does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| bag of birdseed | $3 |\n| box of dog biscuits | $8 |\n| fish bowl | $6 |\n| dog bowl | $1 |\n| hamster wheel | $2 |" } ] }, { "id": "8746", "image": "8746.png", "conversations": [ { "from": "human", "question": "Mrs. Sharma, the biology teacher, asked her students how many times they went to the science museum last year. How many students did not go the science museum last year?\n" }, { "from": "gpt", "solution": "Find the row for 0 times and read the frequency. The frequency is 14.\n\n14 students did not go the science museum last year.", "answer": "14", "table": "**Trips to the science museum last year**\n\n| Number of trips | Frequency |\n| --- | --- |\n| 0 | 14 |\n| 1 | 1 |\n| 2 | 20 |\n| 3 | 8 |\n| 4 | 10 |\n| 5 | 18 |" } ] }, { "id": "8747", "image": "8747.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which performance ends at 8.50 P.M.?\n" }, { "from": "gpt", "solution": "Find 8:50 P. M. on the schedule. The clowns' performance ends at 8:50 P. M.", "answer": "clowns' performance", "table": "**Circus schedule**\n\n| Performer | Begin | End |\n| --- | --- | --- |\n| the trapeze artists | 6:50 P.M. | 7:20 P.M. |\n| the tightrope walkers | 7:25 P.M. | 8:00 P.M. |\n| the clowns | 8:15 P.M. | 8:50 P.M. |\n| the unicycle rider | 9:00 P.M. | 9:10 P.M. |\n| the jugglers | 9:15 P.M. | 9:25 P.M. |\n| the stuntman | 9:35 P.M. | 10:00 P.M. |\n| the strongman | 10:15 P.M. | 10:20 P.M. |" } ] }, { "id": "8754", "image": "8754.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $1,330, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $1,330, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $930 | 20,300 | 6,200 |\n| $1,130 | 16,700 | 7,700 |\n| $1,330 | 13,100 | 9,200 |\n| $1,530 | 9,500 | 10,700 |\n| $1,730 | 5,900 | 12,200 |" } ] }, { "id": "8756", "image": "8756.png", "conversations": [ { "from": "human", "question": "Ellen's P.E. class participated in a push-up competition, and Ellen wrote down how many push-ups each person could do. How many people did fewer than 60 push-ups?\n" }, { "from": "gpt", "solution": "Count all the leaves in the row with stem 5.\n\nYou counted 1 leaf, which is blue in the stem-and-leaf plot above. 1 person did fewer than 60 push-ups.", "answer": "1", "table": "**Push-up competition (number of push-ups)**\n\n| Stem | Leaf |\n| --- | --- |\n| 5 | 5 |\n| 6 | 1, 5, 9 |\n| 7 | 4, 5, 6 |\n| 8 | 2, 3, 4, 6, 7 |" } ] }, { "id": "8757", "image": "8757.png", "conversations": [ { "from": "human", "question": "How much money does Shelley need to buy an antique fir wood bed, an antique cherry bookcase, and an antique walnut buffet?\n" }, { "from": "gpt", "solution": "Find the total cost of an antique fir wood bed, an antique cherry bookcase, and an antique walnut buffet.\n\n$4,829 + $6,068 + $4,191 = $15,088\n\nShelley needs $15,088.", "answer": "15,088", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| antique cherry bookcase | $6,068 |\n| antique cedar cabinet | $1,685 |\n| antique walnut buffet | $4,191 |\n| antique fir wood bed | $4,829 |" } ] }, { "id": "8762", "image": "8762.png", "conversations": [ { "from": "human", "question": "Wanda went to the store and bought 2.7 kilograms of metal beads. How much did she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the metal beads. Multiply the price per kilogram by the number of kilograms.\n$2 × 2.7 = $5.40\nShe spent $5.40.", "answer": "5.40", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| wooden beads | $3/kilogram |\n| paper beads | $3/kilogram |\n| metal beads | $2/kilogram |\n| crystal beads | $2/kilogram |\n| plastic beads | $3/kilogram |\n| ceramic beads | $4/kilogram |\n| glass beads | $5/kilogram |" } ] }, { "id": "8765", "image": "8765.png", "conversations": [ { "from": "human", "question": "For a math assignment, Cara researched the scores of the people competing on her favorite quiz show. How many people scored at least 30 points?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 3, 4, 5, 6, 7, and 8.\n\nYou counted 19 leaves, which are blue in the stem-and-leaf plot above. 19 people scored at least 30 points.", "answer": "19", "table": "**Quiz show scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 3, 7 |\n| 4 | 3, 3, 8 |\n| 5 | 0, 2, 4, 6, 7, 9 |\n| 6 | 2, 3, 5 |\n| 7 | 4, 5, 5 |\n| 8 | 9, 9 |" } ] }, { "id": "8768", "image": "8768.png", "conversations": [ { "from": "human", "question": "A crayon factory monitored the number of broken crayons per box during the past day. What is the smallest number of broken crayons?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 4.\n\nNow find the lowest leaf in the first row. The lowest leaf is 0.\n\nThe smallest number of broken crayons has a stem of 4 and a leaf of 0. Write the stem first, then the leaf: 40.\n\nThe smallest number of broken crayons is 40 broken crayons.", "answer": "40", "table": "**Broken crayons per box**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 0, 8 |\n| 5 | |\n| 6 | 0, 2, 3, 6, 7 |\n| 7 | 0, 1, 3, 3 |\n| 8 | 1, 9 |\n| 9 | 0 |" } ] }, { "id": "8770", "image": "8770.png", "conversations": [ { "from": "human", "question": "Each box has 10 lemon bars. How many lemon bars are in 4 boxes?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 40 lemon bars in 4 boxes.", "answer": "40", "table": "| Number of boxes | Number of lemon bars |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | ? |" } ] }, { "id": "8771", "image": "8771.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{8 - 18}{2 - 1}\n = \\frac{-10}{1}\n = -10\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{2 - 8}{3 - 2}\n = \\frac{-6}{1}\n = -6\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 1 | 18 |\n| 2 | 8 |\n| 3 | 2 |" } ] }, { "id": "8775", "image": "8775.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $1,070, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $1,070, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $590 | 11,700 | 2,800 |\n| $710 | 9,200 | 4,600 |\n| $830 | 6,700 | 6,400 |\n| $950 | 4,200 | 8,200 |\n| $1,070 | 1,700 | 10,000 |" } ] }, { "id": "8800", "image": "8800.png", "conversations": [ { "from": "human", "question": "Evelyn looked at her calendar to figure out how much time she spent babysitting each month. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 9, 3, 4, 7, 5\n\nFirst, find the greatest number. The greatest number is 9.\n\nNext, find the least number. The least number is 3.\n\nSubtract the least number from the greatest number:\n\n9 − 3 = 6\n\nThe range is 6.", "answer": "6", "table": "**Hours of babysitting**\n\n| Month | Hours |\n| --- | --- |\n| March | 6 |\n| April | 9 |\n| May | 3 |\n| June | 4 |\n| July | 7 |\n| August | 5 |" } ] }, { "id": "8802", "image": "8802.png", "conversations": [ { "from": "human", "question": "Emilia has $40.50. Does she have enough to buy a pair of brown pants and a red sweater?\n" }, { "from": "gpt", "solution": "Add the price of a pair of brown pants and the price of a red sweater:\n\n$13.56 + $26.64 = $40.20\n\n$40.20 is less than $40.50. Emilia does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| yellow skirt | $10.76 |\n| pair of brown pants | $13.56 |\n| green dress | $11.44 |\n| red sweater | $26.64 |" } ] }, { "id": "8807", "image": "8807.png", "conversations": [ { "from": "human", "question": "How much money does Pedro need to buy a remote control car and 5 video games?\n" }, { "from": "gpt", "solution": "Find the cost of 5 video games.\n\n$31 × 5 = $155\n\nNow find the total cost.\n\n$11 + $155 = $166\n\nPedro needs $166.", "answer": "166", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| trampoline | $54 |\n| toy piano | $40 |\n| remote control car | $11 |\n| video game | $31 |" } ] }, { "id": "8808", "image": "8808.png", "conversations": [ { "from": "human", "question": "A representative from the agricultural department visited each farm and counted the livestock kept there. How many more sheep does Smith Farm have than Hill Farm?\n" }, { "from": "gpt", "solution": "Find the Sheep column. Find the numbers in this column for Smith Farm and Hill Farm.\n\nSmith Farm: 20\nHill Farm: 10\n\nNow subtract:\n\n20 − 10 = 10\n\nSmith Farm has 10 more sheep than Hill Farm.", "answer": "10", "table": "**Livestock on local farms**\n\n| Farm | Sheep | Donkeys |\n| --- | --- | --- |\n| Smith Farm | 20 | 12 |\n| Hill Farm | 10 | 3 |\n| Meadow Farm | 7 | 1 |" } ] }, { "id": "8818", "image": "8818.png", "conversations": [ { "from": "human", "question": "This morning, Mr. Solomon released the scores from last week's spelling test. What is the lowest score?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 3.\n\nNow find the lowest leaf in the first row. The lowest leaf is 1.\n\nThe lowest score has a stem of 3 and a leaf of 1. Write the stem first, then the leaf: 31.\n\nThe lowest score is 31 points.", "answer": "31", "table": "**Spelling test scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 1, 3, 6, 9 |\n| 4 | 0, 1, 1, 2, 6, 9 |\n| 5 | 1, 4, 6 |\n| 6 | 1, 3 |\n| 7 | 2, 5, 9 |\n| 8 | 0, 0, 1, 4, 9, 9 |\n| 9 | 0 |" } ] }, { "id": "8832", "image": "8832.png", "conversations": [ { "from": "human", "question": "Norma kept track of how many kilometers she walked during the past 7 days. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 19, 15, 7, 12, 5, 5\n\nFirst, count how many numbers are in the group.\n\nThere are 7 numbers.\n\nNow add all the numbers together:\n\n7 + 19 + 15 + 7 + 12 + 5 + 5 = 70\n\nNow divide the sum by the number of numbers:\n\n70 ÷ 7 = 10\n\nThe mean is 10.", "answer": "10", "table": "**Kilometers walked**\n\n| Day | Kilometers |\n| --- | --- |\n| Friday | 7 |\n| Saturday | 19 |\n| Sunday | 15 |\n| Monday | 7 |\n| Tuesday | 12 |\n| Wednesday | 5 |\n| Thursday | 5 |" } ] }, { "id": "8834", "image": "8834.png", "conversations": [ { "from": "human", "question": "An architecture student measured the heights of all the buildings downtown. What is the height of the shortest building?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 6.\n\nNow find the lowest leaf in the first row. The lowest leaf is 1.\n\nThe height of the shortest building has a stem of 6 and a leaf of 1. Write the stem first, then the leaf: 61.\n\nThe height of the shortest building is 61 meters tall.", "answer": "61", "table": "**Building heights (meters)**\n\n| Stem | Leaf |\n| --- | --- |\n| 6 | 1, 3, 4, 5, 8 |\n| 7 | 0, 4, 4, 6, 6, 7 |\n| 8 | 7, 7, 9 |\n| 9 | 0, 0 |" } ] }, { "id": "8840", "image": "8840.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{4 - 8}{13 - 12}\n = \\frac{-4}{1}\n = -4\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{0 - 8}{14 - 12}\n = \\frac{-8}{2}\n = -4\nThe two rates of change are the same.\n4.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 12 | 8 |\n| 13 | 4 |\n| 14 | 0 |" } ] }, { "id": "8854", "image": "8854.png", "conversations": [ { "from": "human", "question": "Each hamburger place has 2 booths. How many booths are in 3 hamburger places?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 6 booths in 3 hamburger places.", "answer": "6", "table": "| Number of hamburger places | Number of booths |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | ? |" } ] }, { "id": "8859", "image": "8859.png", "conversations": [ { "from": "human", "question": "How much more does an emerald pendant cost than a ruby bracelet?\n" }, { "from": "gpt", "solution": "Subtract the price of a ruby bracelet from the price of an emerald pendant.\n\n$2,858 - $1,178 = $1,680\n\nAn emerald pendant costs $1,680 more than a ruby bracelet.", "answer": "1,680", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| jade bracelet | $7,637 |\n| ruby bracelet | $1,178 |\n| diamond ring | $4,767 |\n| topaz pendant | $9,454 |\n| emerald pendant | $2,858 |" } ] }, { "id": "8867", "image": "8867.png", "conversations": [ { "from": "human", "question": "Stacy, a journalism student, counted the number of pages in several major magazines. What is the largest number of pages?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 6.\n\nNow find the highest leaf in the last row. The highest leaf is 6.\n\nThe largest number of pages has a stem of 6 and a leaf of 6. Write the stem first, then the leaf: 66.\n\nThe largest number of pages is 66 pages.", "answer": "66", "table": "**Pages per magazine**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 4, 7 |\n| 2 | 1, 3, 5, 7 |\n| 3 | 2, 3, 5, 5 |\n| 4 | 5, 6, 9 |\n| 5 | 4, 4, 4, 5, 9 |\n| 6 | 1, 3, 4, 6 |" } ] }, { "id": "8869", "image": "8869.png", "conversations": [ { "from": "human", "question": "A sports network displayed the number of Olympic medals won by certain countries over time. Which country won more medals in 1976, Brazil or Finland?\n" }, { "from": "gpt", "solution": "Find the 1976 column. Compare the numbers in this column for Brazil and Finland.\n\n6 is more than 2. Finland won more medals in 1976.", "answer": "Finland", "table": "**Olympic medals**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 1976 | 1980 |\n| Australia | 5 | 9 |\n| Brazil | 2 | 4 |\n| Finland | 6 | 8 |" } ] }, { "id": "8874", "image": "8874.png", "conversations": [ { "from": "human", "question": "For an economics project, Celine determined the cost of ferry rides for bicycles and cars. Which charges more for a bicycle, the Seattle-Bremerton ferry or the Southport-Fort Fisher ferry?\n" }, { "from": "gpt", "solution": "Find the Bicycle column. Compare the numbers in this column for Seattle-Bremerton and Southport-Fort Fisher.\n\n$8.00 is more than $2.00. The Seattle-Bremerton ferry charges more for a bicycle.", "answer": "Seattle-Bremerton", "table": "**Ferry fares**\n\n| Ferry | Car | Bicycle |\n| --- | --- | --- |\n| Mukilteu-Clinton | $7 | $5 |\n| Fauntleroy-Vashon | $15 | $5 |\n| Seattle-Bremerton | $12 | $8 |\n| Southport-Fort Fisher | $5 | $2 |" } ] }, { "id": "8878", "image": "8878.png", "conversations": [ { "from": "human", "question": "Valeria has $52.00. Does she have enough to buy a teapot and a cookbook?\n" }, { "from": "gpt", "solution": "Add the price of a teapot and the price of a cookbook:\n\n$38.09 + $13.24 = $51.33\n\n$51.33 is less than $52.00. Valeria does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| teapot | $38.09 |\n| set of forks | $18.08 |\n| cookbook | $13.24 |\n| soup pot | $50.93 |" } ] }, { "id": "8893", "image": "8893.png", "conversations": [ { "from": "human", "question": "Some farmers compared how many tractors they own. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n18, 20, 9, 15, 19\n\nFirst, arrange the numbers from least to greatest:\n\n9, 15, 18, 19, 20\n\nNow find the number in the middle.\n\n9, 15, 18, 19, 20\n\nThe number in the middle is 18.\n\nThe median is 18.", "answer": "18", "table": "**Tractors**\n\n| Farmer | Number of tractors |\n| --- | --- |\n| Farmer Allison | 18 |\n| Farmer Tom | 20 |\n| Farmer Alex | 9 |\n| Farmer Susie | 15 |\n| Farmer John | 19 |" } ] }, { "id": "8897", "image": "8897.png", "conversations": [ { "from": "human", "question": "Chandler has $15.00. Does he have enough to buy a pair of black socks and a white T-shirt?\n" }, { "from": "gpt", "solution": "Add the price of a pair of black socks and the price of a white T-shirt:\n\n$7.00 + $8.00 = $15.00\n\nSince Chandler has $15.00, he has just enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| white T-shirt | $8.00 |\n| striped scarf | $5.00 |\n| pair of black socks | $7.00 |\n| red hat | $4.00 |\n| red sweater | $7.00 |\n| long-sleeved shirt | $8.00 |" } ] }, { "id": "8903", "image": "8903.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Brandon just missed the 11.15 A.M. train at the civic center. How long does he have to wait until the next train?\n" }, { "from": "gpt", "solution": "Find 11:15 A. M. in the row for the civic center.\n\nLook for the next train in that row.\n\nThe next train is at 11:30 A. M.\n\nFind the elapsed time. The elapsed time is 15 minutes.", "answer": "15 minutes", "table": "**Subway train schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 | Column 5 |\n| --- | --- | --- | --- | --- |\n| history museum | 10:00 A.M. | 10:15 A.M. | 10:30 A.M. | 10:45 A.M. |\n| civic center | 10:45 A.M. | 11:00 A.M. | 11:15 A.M. | 11:30 A.M. |\n| shopping district | 11:15 A.M. | 11:30 A.M. | 11:45 A.M. | 12:00 P.M. |\n| theater district | 12:00 P.M. | 12:15 P.M. | 12:30 P.M. | 12:45 P.M. |\n| restaurant district | 1:00 P.M. | 1:15 P.M. | 1:30 P.M. | 1:45 P.M. |" } ] }, { "id": "8905", "image": "8905.png", "conversations": [ { "from": "human", "question": "A veterinarian in Dover treats a number of different kinds of animals every year. What fraction of pets treated were reptiles? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many reptiles were treated.\n\n640\n\nFind how many pets were treated in total.\n\n360 + 170 + 640 + 220 = 1,390\n\nDivide 640 by1,390.\n\n\\frac{640}{1,390}\n\nReduce the fraction.\n\n\\frac{640}{1,390} → \\frac{64}{139}\n\n\\frac{64}{139} of reptiles were treated.", "answer": "64/139", "table": "**Pets treated by the vet**\n\n| Pet | Number of cases |\n| --- | --- |\n| Rabbits | 360 |\n| Birds | 170 |\n| Reptiles | 640 |\n| Other | 220 |" } ] }, { "id": "8907", "image": "8907.png", "conversations": [ { "from": "human", "question": "Edmond buys 3+2/5 pounds of peanut butter. How much does he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the peanut butter. Multiply the price per pound by the number of pounds.\n$5 × 3\\frac{2}{5} = $5 × 3.4 = $17\nHe spends $17.", "answer": "17", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| sunflower seed butter | $8 per lb |\n| walnut butter | $4 per lb |\n| peanut butter | $5 per lb |\n| almond butter | $3 per lb |\n| cashew butter | $3 per lb |\n| macadamia nut butter | $4 per lb |" } ] }, { "id": "8908", "image": "8908.png", "conversations": [ { "from": "human", "question": "Each locker has 5 T-shirts. How many T-shirts are in 6 lockers?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 30 T-shirts in 6 lockers.", "answer": "30", "table": "| Number of lockers | Number of T-shirts |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | 20 |\n| 5 | 25 |\n| 6 | ? |" } ] }, { "id": "8911", "image": "8911.png", "conversations": [ { "from": "human", "question": "How much money does Gina need to buy a peach pie and a chocolate cheesecake?\n" }, { "from": "gpt", "solution": "Add the price of a peach pie and the price of a chocolate cheesecake:\n\n$7.09 + $8.47 = $15.56\n\nGina needs $15.56.", "answer": "15.56", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| apple tart | $7.99 |\n| chocolate cheesecake | $8.47 |\n| banana cream pie | $9.20 |\n| pear tart | $8.92 |\n| peach pie | $7.09 |" } ] }, { "id": "8919", "image": "8919.png", "conversations": [ { "from": "human", "question": "Each shelf has 5 bowls. How many bowls are on 3 shelves?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 15 bowls on 3 shelves.", "answer": "15", "table": "| Number of shelves | Number of bowls |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | ? |" } ] }, { "id": "8924", "image": "8924.png", "conversations": [ { "from": "human", "question": "Miss Blair ran a sit-up competition among her P.E. students and monitored how many sit-ups each students could do. How many people did at least 40 sit-ups?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 4, 5, 6, and 7.\n\nYou counted 7 leaves, which are blue in the stem-and-leaf plot above. 7 people did at least 40 sit-ups.", "answer": "7", "table": "**Sit-up competition (number of sit-ups)**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 1, 2, 6 |\n| 5 | |\n| 6 | 5, 7, 8 |\n| 7 | 3 |" } ] }, { "id": "8925", "image": "8925.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $1,080, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $1,080, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $320 | 14,300 | 8,300 |\n| $510 | 12,200 | 11,200 |\n| $700 | 10,100 | 14,100 |\n| $890 | 8,000 | 17,000 |\n| $1,080 | 5,900 | 19,900 |" } ] }, { "id": "8931", "image": "8931.png", "conversations": [ { "from": "human", "question": "What is the total cost for 3 pounds of purple beads, 1 pound of red beads, and 2 pounds of yellow beads?\n" }, { "from": "gpt", "solution": "Find the cost of the purple beads. Multiply:\n\n$4.23 × 3 = $12.69\n\nFind the cost of the red beads. Multiply:\n\n$3.98 × 1 = $3.98\n\nFind the cost of the yellow beads. Multiply:\n\n$6.49 × 2 = $12.98\n\nNow find the total cost by adding:\n\n$12.69 + $3.98 + $12.98 = $29.65\n\nThe total cost is $29.65.", "answer": "29.65", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| purple beads | $4.23/pound |\n| red beads | $3.98/pound |\n| blue beads | $7.51/pound |\n| yellow beads | $6.49/pound |" } ] }, { "id": "8932", "image": "8932.png", "conversations": [ { "from": "human", "question": "A newspaper researched how many grocery stores there are in each town. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 10, 9, 6, 10\n\nFirst, arrange the numbers from least to greatest:\n\n6, 9, 9, 10, 10\n\nNow find the number in the middle.\n\n6, 9, 9, 10, 10\n\nThe number in the middle is 9.\n\nThe median is 9.", "answer": "9", "table": "**Grocery stores in each town**\n\n| Town | Number of stores |\n| --- | --- |\n| Watertown | 9 |\n| Springfield | 10 |\n| Chesterton | 9 |\n| Richmond | 6 |\n| Greenwood | 10 |" } ] }, { "id": "8935", "image": "8935.png", "conversations": [ { "from": "human", "question": "Carmen has $9,788.00. Does she have enough to buy a ruby bracelet and a diamond pendant?\n" }, { "from": "gpt", "solution": "Add the price of a ruby bracelet and the price of a diamond pendant:\n\n$7,697.00 + $2,064.00 = $9,761.00\n\n$9,761.00 is less than $9,788.00. Carmen does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| diamond pendant | $2,064.00 |\n| ruby bracelet | $7,697.00 |\n| gold ring | $1,998.00 |\n| ruby necklace | $3,032.00 |\n| pearl necklace | $6,239.00 |" } ] }, { "id": "8940", "image": "8940.png", "conversations": [ { "from": "human", "question": "Ernest's campground is close to two hiking trails with scenic destinations. One trail ends at an underground lake in the bottom of a small cave. The other trail ends at a mountain peak. The elevation of each destination is shown on the campground map. Which trail's destination is farther from sea level?\n" }, { "from": "gpt", "solution": "The underground lake's elevation is negative, so it is below sea level. The mountain peak's elevation is positive, so it is above sea level.\nTo find the destination farther from sea level, use absolute value. Absolute value tells you how far each destination is from sea level.\nUnderground lake: |-350| = 350\nMountain peak: |325| = 325\nThe underground lake is 350 feet below sea level, and the mountain peak is only 325 feet above sea level. The underground lake is farther from sea level.", "answer": "underground lake", "table": "| Destination | Elevation (ft.) |\n| --- | --- |\n| Underground lake | -350 |\n| Mountain peak | 325 |" } ] }, { "id": "8945", "image": "8945.png", "conversations": [ { "from": "human", "question": "Vivian, an aspiring meteorologist, spent the past few weekends studying the clouds. She took detailed notes on the types of clouds observed and the time of day they were observed. What is the probability that a randomly selected cloud was observed in the afternoon and was marked as stratus? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the cloud was observed in the afternoon\" and B be the event \"the cloud was marked as stratus\".\nTo find the probability that a cloud was observed in the afternoon and was marked as stratus, first identify the sample space and the event.\nThe outcomes in the sample space are the different clouds. Each cloud is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the cloud was observed in the afternoon and was marked as stratus\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the cloud was observed in the afternoon and was marked as stratus\", so look at the table to see how many clouds were observed during the afternoon and were marked as stratus.\nThe number of clouds that were observed during the afternoon and were marked as stratus is 6.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of clouds.\n6 + 3 + 3 + 6 = 18\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{6}{18}\n = \\frac{1}{3}\nThe probability that a cloud was observed in the afternoon and was marked as stratus is \\frac{1}{3}.", "answer": "1/3", "table": "| | Stratocumulus | Stratus |\n| --- | --- | --- |\n| Morning | 6 | 3 |\n| Afternoon | 3 | 6 |" } ] }, { "id": "8947", "image": "8947.png", "conversations": [ { "from": "human", "question": "Zoe's classmates revealed how many science articles they read. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n5, 5, 2, 5, 4, 4, 3, 4\n\nFirst, count how many numbers are in the group.\n\nThere are 8 numbers.\n\nNow add all the numbers together:\n\n5 + 5 + 2 + 5 + 4 + 4 + 3 + 4 = 32\n\nNow divide the sum by the number of numbers:\n\n32 ÷ 8 = 4\n\nThe mean is 4.", "answer": "4", "table": "**Science articles read**\n\n| Name | Number of science articles |\n| --- | --- |\n| Zoe | 5 |\n| Caden | 5 |\n| Pedro | 2 |\n| Andrew | 5 |\n| Harper | 4 |\n| Tiana | 4 |\n| Lucas | 3 |\n| Kevin | 4 |" } ] }, { "id": "8953", "image": "8953.png", "conversations": [ { "from": "human", "question": "Farid purchased 1/2 of a pound of white rice. What was the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the white rice. Multiply the price per pound by the number of pounds.\n$1 × \\frac{1}{2} = $1 × 0.5 = $0.50\nThe total cost was $0.50.", "answer": "0.50", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| white rice | $1/pound |\n| brown rice | $3/pound |\n| jasmine rice | $1/pound |\n| Arborio rice | $3/pound |\n| basmati rice | $3/pound |" } ] }, { "id": "8959", "image": "8959.png", "conversations": [ { "from": "human", "question": "Bernie just downloaded the new game Gem Excavator on his phone. In the first level, Bernie gains points for each green gem he finds. However, he loses points for each red gem he finds. The table shows how the gems affect Bernie's points. Which color gem affects Bernie's points less?\n" }, { "from": "gpt", "solution": "To find the gem that affects Bernie's points less, use absolute value. Absolute value tells you how much Bernie's points change for each color gem.\nGreen: |25| = 25\nRed: |-40| = 40\nBernie gains 25 points for each green gem he finds, and he loses 40 points for each red gem he finds. So, the green gems affect Bernie's points less.", "answer": "green", "table": "| Gem color | Change in points |\n| --- | --- |\n| Green | 25 |\n| Red | -40 |" } ] }, { "id": "8961", "image": "8961.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which game begins at 12.55 P.M.?\n" }, { "from": "gpt", "solution": "Find 12:55 P. M. on the schedule. The Waves versus Alligators game begins at 12:55 P. M.", "answer": "Waves versus Alligators game", "table": "**Soccer tournament schedule**\n\n| Game | Begin | End |\n| --- | --- | --- |\n| Sharks versus Storm | 8:15 A.M. | 9:45 A.M. |\n| Cardinals versus Cobras | 8:25 A.M. | 9:55 A.M. |\n| Lions versus Blue Jays | 9:25 A.M. | 10:55 A.M. |\n| Tigers versus Wolves | 9:50 A.M. | 11:20 A.M. |\n| Hawks versus Jaguars | 10:30 A.M. | 12:00 P.M. |\n| Thunder versus Eagles | 11:40 A.M. | 1:10 P.M. |\n| Waves versus Alligators | 12:55 P.M. | 2:25 P.M. |\n| Fire versus Blizzard | 2:00 P.M. | 3:30 P.M. |\n| Lightning versus Coyotes | 2:50 P.M. | 4:20 P.M. |" } ] }, { "id": "8970", "image": "8970.png", "conversations": [ { "from": "human", "question": "Wanda went on a camping trip and logged the number of miles she hiked each day. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n10, 9, 10, 5, 9\n\nFirst, arrange the numbers from least to greatest:\n\n5, 9, 9, 10, 10\n\nNow find the number in the middle.\n\n5, 9, 9, 10, 10\n\nThe number in the middle is 9.\n\nThe median is 9.", "answer": "9", "table": "**Miles hiked**\n\n| Day | Number of miles |\n| --- | --- |\n| Sunday | 10 |\n| Monday | 9 |\n| Tuesday | 10 |\n| Wednesday | 5 |\n| Thursday | 9 |" } ] }, { "id": "8973", "image": "8973.png", "conversations": [ { "from": "human", "question": "Miss Hamilton ran a sit-up competition among her P.E. students and monitored how many sit-ups each students could do. How many people did at least 50 sit-ups but fewer than 60 sit-ups?\n" }, { "from": "gpt", "solution": "Count all the leaves in the row with stem 5.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 people did at least 50 sit-ups but fewer than 60 sit-ups.", "answer": "3", "table": "**Sit-up competition (number of sit-ups)**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 0, 0 |\n| 3 | 0, 2, 4, 7, 7, 9, 9, 9 |\n| 4 | 3, 5, 7 |\n| 5 | 5, 8, 9 |\n| 6 | 0, 1, 8 |\n| 7 | 0, 5, 6, 8 |\n| 8 | 5, 6 |" } ] }, { "id": "8975", "image": "8975.png", "conversations": [ { "from": "human", "question": "A farmer wrote down how many kilograms of cherries were sold in the past 5 days. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n62, 71, 71, 71, 62\n\nFirst, arrange the numbers from least to greatest:\n\n62, 62, 71, 71, 71\n\nNow count how many times each number appears.\n\n62 appears 2 times.\n71 appears 3 times.\n\nThe number that appears most often is 71.\n\nThe mode is 71.", "answer": "71", "table": "**Cherries sold**\n\n| Day | Kilograms |\n| --- | --- |\n| Sunday | 62 |\n| Monday | 71 |\n| Tuesday | 71 |\n| Wednesday | 71 |\n| Thursday | 62 |" } ] }, { "id": "8979", "image": "8979.png", "conversations": [ { "from": "human", "question": "Mrs. Dickerson, the science teacher, informed her students of their scores on Monday's test. How many students scored fewer than 83 points?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 5, 6, and 7.\n\nIn the row with stem 8, count all the leaves less than 3.\n\nYou counted 18 leaves, which are blue in the stem-and-leaf plots above. 18 students scored fewer than 83 points.", "answer": "18", "table": "**Science test scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 5 | 0, 6, 6, 8, 9 |\n| 6 | 4, 7 |\n| 7 | 0, 0, 0, 1, 3, 3, 3, 9, 9 |\n| 8 | 2, 2, 8, 9 |" } ] }, { "id": "8983", "image": "8983.png", "conversations": [ { "from": "human", "question": "Some scooter companies compared how many scooters they sold. Which company sold the most scooters?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 998.\n\nNow find the corresponding company. Rocket Scooters corresponds to 998.", "answer": "Rocket Scooters", "table": "**Scooters sold**\n\n| Company | Number of scooters sold |\n| --- | --- |\n| Rocket Scooters | 998 |\n| Zippy Scooters | 986 |\n| Let's Jet Scooters | 969 |\n| Sweeney Scooters | 968 |" } ] }, { "id": "8993", "image": "8993.png", "conversations": [ { "from": "human", "question": "Employees at Isabelle's Movies tracked the number of movies that customers rented last month. How many customers did not rent a movie last month?\n" }, { "from": "gpt", "solution": "Find the row for 0 times and read the frequency. The frequency is 4.\n\n4 customers did not rent a movie last month.", "answer": "4", "table": "**Renting movies last month**\n\n| Number of times | Frequency |\n| --- | --- |\n| 0 | 4 |\n| 1 | 3 |\n| 2 | 13 |\n| 3 | 9 |" } ] }, { "id": "8996", "image": "8996.png", "conversations": [ { "from": "human", "question": "How much money does Kayla need to buy a CD signed by a famous band and a DVD signed by a famous comedian?\n" }, { "from": "gpt", "solution": "Add the price of a CD signed by a famous band and the price of a DVD signed by a famous comedian:\n\n$37 + $81 = $118\n\nKayla needs $118.", "answer": "118", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| program signed by a famous dancer | $22 |\n| DVD signed by a famous comedian | $81 |\n| CD signed by a famous band | $37 |\n| photograph signed by a famous movie star | $65 |" } ] }, { "id": "8998", "image": "8998.png", "conversations": [ { "from": "human", "question": "Erica is looking at the price of new cell phones online. Her favorite company, OrangeTech, has a special this weekend. Erica can add an upgrade to a phone for an additional cost, or she can buy a used phone to get a discount. The change in price for each option is shown in the table. Which option results in a greater change in price?\n" }, { "from": "gpt", "solution": "To find the option that results in a greater change in price, use absolute value. Absolute value tells you how much the price changes.\nAdd an upgrade: |$60| = $60\nBuy a used phone: |-$75| = $75\nBuying a used phone results in a greater change in price. It reduces the price by $75.", "answer": "buying a used phone", "table": "| Option | Change in phone price |\n| --- | --- |\n| Add an upgrade | $60 |\n| Buy a used phone | -$75 |" } ] }, { "id": "9003", "image": "9003.png", "conversations": [ { "from": "human", "question": "Kurt counted the number of ducks at each pond in the city. How many ponds had fewer than 60 ducks?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1, 2, 3, 4, and 5.\n\nYou counted 22 leaves, which are blue in the stem-and-leaf plot above. 22 ponds had fewer than 60 ducks.", "answer": "22", "table": "**Ducks per pond**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 1, 4, 4, 5 |\n| 2 | 4, 9 |\n| 3 | 1, 4, 6, 7, 8 |\n| 4 | 0, 1, 2, 3, 4, 9 |\n| 5 | 2, 3, 4, 7 |\n| 6 | 6 |\n| 7 | 1, 9 |" } ] }, { "id": "9006", "image": "9006.png", "conversations": [ { "from": "human", "question": "An athlete counted how many autographs he signed each day. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 9, 7, 8, 9, 6, 3\n\nFirst, find the greatest number. The greatest number is 9.\n\nNext, find the least number. The least number is 3.\n\nSubtract the least number from the greatest number:\n\n9 − 3 = 6\n\nThe range is 6.", "answer": "6", "table": "**Autographs signed**\n\n| Day | Number of autographs |\n| --- | --- |\n| Saturday | 7 |\n| Sunday | 9 |\n| Monday | 7 |\n| Tuesday | 8 |\n| Wednesday | 9 |\n| Thursday | 6 |\n| Friday | 3 |" } ] }, { "id": "9009", "image": "9009.png", "conversations": [ { "from": "human", "question": "To get a rough estimate of his melon farm's profits for the year, Dalton decided to look at some data about melon prices in the past. How much did a container of cantaloupes cost in 1996?\n" }, { "from": "gpt", "solution": "First, find the row for cantaloupes. Then find the number in the 1996 column.\n\nThis number is $8.00. A container of cantaloupes cost $8 in 1996.", "answer": "8", "table": "**Melon price per container**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Kind of melon | 1995 | 1996 |\n| Honeydews | $10 | $7 |\n| Cantaloupes | $7 | $8 |\n| Watermelons | $5 | $3 |" } ] }, { "id": "9011", "image": "9011.png", "conversations": [ { "from": "human", "question": "The members of the science club shared how many times they had been to the zoo last year. How many members are there in all?\n" }, { "from": "gpt", "solution": "Add the frequencies for each row.\n\nAdd:\n\n18 + 16 + 17 + 20 + 3 = 74\n\nThere are 74 members in all.", "answer": "74", "table": "**Trips to the zoo last year**\n\n| Number of trips | Frequency |\n| --- | --- |\n| 0 | 18 |\n| 1 | 16 |\n| 2 | 17 |\n| 3 | 20 |\n| 4 | 3 |" } ] }, { "id": "9014", "image": "9014.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{16 - 6}{1 - 0}\n = \\frac{10}{1}\n = 10\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{18 - 16}{2 - 1}\n = \\frac{2}{1}\n = 2\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 0 | 6 |\n| 1 | 16 |\n| 2 | 18 |" } ] }, { "id": "9015", "image": "9015.png", "conversations": [ { "from": "human", "question": "An amusement park manager looked up the number of ride tickets sold in the past 4 days. How many tickets did the amusement park sell in total on Thursday and Friday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nThursday: 112\nFriday: 152\n\nNow add: 112 + 152 = 264.\n\nThe amusement park sold 264 tickets on Thursday and Friday.", "answer": "264", "table": "**Tickets sold**\n\n| Day | Number of tickets |\n| --- | --- |\n| Wednesday | 709 |\n| Thursday | 112 |\n| Friday | 152 |\n| Saturday | 114 |" } ] }, { "id": "9021", "image": "9021.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Molly just missed the 1.45 P.M. train at Pleasant River Campground. How long does she have to wait until the next train?\n" }, { "from": "gpt", "solution": "Find 1:45 P. M. in the row for Pleasant River Campground.\n\nLook for the next train in that row.\n\nThe next train is at 4:00 P. M.\n\nFind the elapsed time. The elapsed time is 2 hours and 15 minutes.", "answer": "2 hours and 15 minutes", "table": "**Train schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 | Column 5 | Column 6 |\n| --- | --- | --- | --- | --- | --- |\n| Gecko Paradise | 9:30 A.M. | 11:15 A.M. | 11:30 A.M. | 1:45 P.M. | 9:00 P.M. |\n| Rollercoaster Land | 10:00 A.M. | 11:45 A.M. | 12:00 P.M. | 2:15 P.M. | 9:30 P.M. |\n| Magician Village | 11:00 A.M. | 12:45 P.M. | 1:00 P.M. | 3:15 P.M. | 10:30 P.M. |\n| Pleasant River Campground | 11:45 A.M. | 1:30 P.M. | 1:45 P.M. | 4:00 P.M. | 11:15 P.M. |\n| Snowy Mountain | 12:30 P.M. | 2:15 P.M. | 2:30 P.M. | 4:45 P.M. | 12:00 A.M. |\n| Rocky Ravine Town | 1:30 P.M. | 3:15 P.M. | 3:30 P.M. | 5:45 P.M. | 1:00 A.M. |\n| Skyscraper City | 2:30 P.M. | 4:15 P.M. | 4:30 P.M. | 6:45 P.M. | 2:00 A.M. |" } ] }, { "id": "9025", "image": "9025.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{8 - 17}{14 - 13}\n = \\frac{-9}{1}\n = -9\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{0 - 17}{15 - 13}\n = \\frac{-17}{2}\n = -8\\frac{1}{2}\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 13 | 17 |\n| 14 | 8 |\n| 15 | 0 |" } ] }, { "id": "9035", "image": "9035.png", "conversations": [ { "from": "human", "question": "Jayden graphed the daily low temperature for 5 days. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 5, 9, 4, 10\n\nFirst, count how many numbers are in the group.\n\nThere are 5 numbers.\n\nNow add all the numbers together:\n\n7 + 5 + 9 + 4 + 10 = 35\n\nNow divide the sum by the number of numbers:\n\n35 ÷ 5 = 7\n\nThe mean is 7.", "answer": "7", "table": "**Daily low temperature**\n\n| Day | Temperature (°C) |\n| --- | --- |\n| Monday | 7 |\n| Tuesday | 5 |\n| Wednesday | 9 |\n| Thursday | 4 |\n| Friday | 10 |" } ] }, { "id": "9061", "image": "9061.png", "conversations": [ { "from": "human", "question": "Some friends compared the sizes of their sticker collections. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 10, 10, 10, 6, 8\n\nFirst, find the greatest number. The greatest number is 10.\n\nNext, find the least number. The least number is 6.\n\nSubtract the least number from the greatest number:\n\n10 − 6 = 4\n\nThe range is 4.", "answer": "4", "table": "**Sticker collections**\n\n| Name | Number of stickers |\n| --- | --- |\n| Trisha | 7 |\n| Alexandra | 10 |\n| Hugo | 10 |\n| Denise | 10 |\n| Ronald | 6 |\n| Louis | 8 |" } ] }, { "id": "9064", "image": "9064.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $1,280, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $1,280, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $980 | 11,000 | 7,100 |\n| $1,130 | 9,300 | 8,600 |\n| $1,280 | 7,600 | 10,100 |\n| $1,430 | 5,900 | 11,600 |\n| $1,580 | 4,200 | 13,100 |" } ] }, { "id": "9065", "image": "9065.png", "conversations": [ { "from": "human", "question": "A vendor who sold bread at farmers' markets counted the number of leftover loaves at the end of each day. According to the table, what was the rate of change between Thursday and Friday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{6 loaves - 38 loaves}{1 day}\n = \\frac{-32 loaves}{1 day}\n = -32 loaves per day\nThe rate of change between Thursday and Friday was - 32 loaves per day.", "answer": "-32", "table": "**Loaves of leftover bread**\n\n| Day | Leftover loaves |\n| --- | --- |\n| Tuesday | 16 |\n| Wednesday | 8 |\n| Thursday | 38 |\n| Friday | 6 |\n| Saturday | 3 |" } ] }, { "id": "9070", "image": "9070.png", "conversations": [ { "from": "human", "question": "In preparation for graduation, some teachers and students volunteered for the various graduation committees. Which committee has the most people?\n" }, { "from": "gpt", "solution": "Add the numbers in each row.\n\nticket: 1 + 5 = 6\nprogram: 4 + 9 = 13\nschedule: 5 + 11 = 16\nfood: 4 + 13 = 17\n\nThe greatest sum is 17, which is the total for the Food row. The most people are on the food committee.", "answer": "food", "table": "**Graduation committees**\n\n| Committee | Teachers | Students |\n| --- | --- | --- |\n| Ticket | 1 | 5 |\n| Program | 4 | 9 |\n| Schedule | 5 | 11 |\n| Food | 4 | 13 |" } ] }, { "id": "9076", "image": "9076.png", "conversations": [ { "from": "human", "question": "To get credit for meeting his school's community service requirement, Kendrick kept a volunteering log. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n10, 3, 5, 4, 10, 5, 5\n\nFirst, count how many numbers are in the group.\n\nThere are 7 numbers.\n\nNow add all the numbers together:\n\n10 + 3 + 5 + 4 + 10 + 5 + 5 = 42\n\nNow divide the sum by the number of numbers:\n\n42 ÷ 7 = 6\n\nThe mean is 6.", "answer": "6", "table": "**Hours spent volunteering**\n\n| Day | Hours |\n| --- | --- |\n| Saturday | 10 |\n| Sunday | 3 |\n| Monday | 5 |\n| Tuesday | 4 |\n| Wednesday | 10 |\n| Thursday | 5 |\n| Friday | 5 |" } ] }, { "id": "9077", "image": "9077.png", "conversations": [ { "from": "human", "question": "Jada has $0.13. Does she have enough to buy a purple bow and a small yellow button?\n" }, { "from": "gpt", "solution": "Add the price of a purple bow and the price of a small yellow button:\n\n$0.04 + $0.09 = $0.13\n\nSince Jada has $0.13, she has just enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| red ribbon | $0.07 |\n| shiny red button | $0.09 |\n| green pipe cleaner | $0.05 |\n| small yellow button | $0.09 |\n| purple bow | $0.04 |\n| orange ribbon | $0.06 |" } ] }, { "id": "9081", "image": "9081.png", "conversations": [ { "from": "human", "question": "Cameron wants to buy 1.6 pounds of pomegranate tea. How much will he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the pomegranate tea. Multiply the price per pound by the number of pounds.\n$3 × 1.6 = $4.80\nHe will spend $4.80.", "answer": "4.80", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| black tea | $4/pound |\n| chamomile tea | $3/pound |\n| green tea | $5/pound |\n| pomegranate tea | $3/pound |\n| chai tea | $4/pound |" } ] }, { "id": "9085", "image": "9085.png", "conversations": [ { "from": "human", "question": "The owner of an orchard kept records about how many apples were picked in the past 4 days. How many apples in total were picked on Wednesday and Friday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nWednesday: 2,702\nFriday: 1,720\n\nNow add: 2,702 + 1,720 = 4,422.\n\n4,422 apples were picked on Wednesday and Friday.", "answer": "4,422", "table": "**Apples picked**\n\n| Day | Number of apples |\n| --- | --- |\n| Tuesday | 3,840 |\n| Wednesday | 2,702 |\n| Thursday | 5,059 |\n| Friday | 1,720 |" } ] }, { "id": "9086", "image": "9086.png", "conversations": [ { "from": "human", "question": "Mrs. Oliver hosts an annual art contest for kids, and she keeps a record of the number of entries each year. According to the table, what was the rate of change between 2014 and 2015?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{22 entries - 20 entries}{2015 - 2014}\n = \\frac{22 entries - 20 entries}{1 year}\n = \\frac{2 entries}{1 year}\n = 2 entries per year\nThe rate of change between 2014 and 2015 was 2 entries per year.", "answer": "2", "table": "**Art contest entries**\n\n| Year | Number of entries |\n| --- | --- |\n| 2014 | 20 |\n| 2015 | 22 |\n| 2016 | 20 |\n| 2017 | 21 |\n| 2018 | 13 |" } ] }, { "id": "9089", "image": "9089.png", "conversations": [ { "from": "human", "question": "How much money does Joy need to buy 6 model railroad sets?\n" }, { "from": "gpt", "solution": "Find the total cost of 6 model railroad sets by multiplying 6 times the price of a model railroad set.\n\n$81.50 × 6 = $489.00\n\nJoy needs $489.00.", "answer": "489", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| teddy bear | $14.62 |\n| model railroad set | $81.50 |\n| toy guitar | $18.28 |\n| chess board | $14.52 |" } ] }, { "id": "9098", "image": "9098.png", "conversations": [ { "from": "human", "question": "A real estate agent evaluated the number of houses sold this year in each town in Fulton County. What fraction of houses sold in Fulton County were in Millersburg? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many houses were sold in Millersburg.\n\n590\n\nFind how many houses were sold in total.\n\n980 + 450 + 590 + 120 + 290 = 2,430\n\nDivide 590 by2,430.\n\n\\frac{590}{2,430}\n\nReduce the fraction.\n\n\\frac{590}{2,430} → \\frac{59}{243}\n\n\\frac{59}{243} of houses were sold in Millersburg.", "answer": "59/243", "table": "**Number of houses sold**\n\n| Town | Number of houses sold |\n| --- | --- |\n| Silvergrove | 980 |\n| Springfield | 450 |\n| Millersburg | 590 |\n| Springtown | 120 |\n| Other | 290 |" } ] }, { "id": "9110", "image": "9110.png", "conversations": [ { "from": "human", "question": "How much money does Luca need to buy a package of purple streamers, a kazoo, and a greeting card?\n" }, { "from": "gpt", "solution": "Find the total cost of a package of purple streamers, a kazoo, and a greeting card.\n\n$1.96 + $1.23 + $2.29 = $5.48\n\nLuca needs $5.48.", "answer": "5.48", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| kazoo | $1.23 |\n| whistle | $1.20 |\n| package of purple streamers | $1.96 |\n| gift bag | $3.17 |\n| birthday balloon | $1.81 |\n| greeting card | $2.29 |" } ] }, { "id": "9111", "image": "9111.png", "conversations": [ { "from": "human", "question": "Each year the Belmont School District publishes its annual budget, which includes information on the sports program's per-student spending. According to the table, what was the rate of change between 2017 and 2018?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{$43 - $26}{2018 - 2017}\n = \\frac{$43 - $26}{1 year}\n = \\frac{$17}{1 year}\n = $17 per year\nThe rate of change between 2017 and 2018 was $17 per year.", "answer": "17", "table": "**Belmont School District sports budget**\n\n| Year | Per-student budget |\n| --- | --- |\n| 2017 | $26 |\n| 2018 | $43 |\n| 2019 | $44 |\n| 2020 | $28 |\n| 2021 | $25 |" } ] }, { "id": "9117", "image": "9117.png", "conversations": [ { "from": "human", "question": "An agricultural agency is researching how much cheese people have been eating in different parts of the world. How much more cheese did Germany consume per capita in 2006 than in 1996?\n" }, { "from": "gpt", "solution": "Find the Germany row. Find the numbers in this row for 2006 and 1996.\n\n2006: 20\n1996: 12\n\nNow subtract:\n\n20 − 12 = 8\n\nGermany consumed 8 kilograms more cheese per capita in 2006 than in 1996.", "answer": "8", "table": "**Cheese consumption per capita (kg)**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 1996 | 2006 |\n| Canada | 10 | 11 |\n| Great Britain | 9 | 10 |\n| Argentina | 11 | 11 |\n| Germany | 12 | 20 |" } ] }, { "id": "9118", "image": "9118.png", "conversations": [ { "from": "human", "question": "Look at this table. Is this relation a function?\n" }, { "from": "gpt", "solution": "Look at the x-values in the table.\n\nThe x-value 0 is paired with multiple y-values, so the relation is not a function.", "answer": "no", "table": "| x | y |\n| --- | --- |\n| 8 | 12 |\n| 0 | 5 |\n| 0 | 7 |\n| 1 | 10 |" } ] }, { "id": "9123", "image": "9123.png", "conversations": [ { "from": "human", "question": "Each cage has 5 rabbits. How many rabbits are in 6 cages?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 30 rabbits in 6 cages.", "answer": "30", "table": "| Number of cages | Number of rabbits |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | 20 |\n| 5 | 25 |\n| 6 | ? |" } ] }, { "id": "9130", "image": "9130.png", "conversations": [ { "from": "human", "question": "How much more does a cookbook cost than a cutting board?\n" }, { "from": "gpt", "solution": "Subtract the price of a cutting board from the price of a cookbook.\n\n$17.14 - $15.35 = $1.79\n\nA cookbook costs $1.79 more than a cutting board.", "answer": "1.79", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| cookbook | $17.14 |\n| cutting board | $15.35 |\n| set of spoons | $17.87 |\n| rolling pin | $12.15 |" } ] }, { "id": "9132", "image": "9132.png", "conversations": [ { "from": "human", "question": "A food magazine published a listing of local restaurant ratings. How many restaurants were rated at least 9 points but fewer than 16 points?\n" }, { "from": "gpt", "solution": "Find the row with stem 0. Count all the leaves greater than or equal to 9.\n\nIn the row with stem 1, count all the leaves less than 6.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plots above. 2 restaurants were rated at least 9 points but fewer than 16 points.", "answer": "2", "table": "**Restaurant ratings**\n\n| Stem | Leaf |\n| --- | --- |\n| 0 | 6 |\n| 1 | 0, 4, 7 |\n| 2 | 9 |\n| 3 | 2, 7 |\n| 4 | 3 |" } ] }, { "id": "9134", "image": "9134.png", "conversations": [ { "from": "human", "question": "How much money does Ashley need to buy a box of breath mints and lip balm?\n" }, { "from": "gpt", "solution": "Add the price of a box of breath mints and the price of lip balm:\n\n$0.75 + $0.85 = $1.60\n\nAshley needs $1.60.", "answer": "1.60", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| lip balm | $0.85 |\n| tube of toothpaste | $0.82 |\n| bottle of hand lotion | $0.96 |\n| box of breath mints | $0.75 |" } ] }, { "id": "9138", "image": "9138.png", "conversations": [ { "from": "human", "question": "Mrs. Monroe, the science teacher, informed her students of their scores on Monday's test. How many students scored exactly 27 points?\n" }, { "from": "gpt", "solution": "For the number 27, the stem is 2, and the leaf is 7. Find the row where the stem is 2. In that row, count all the leaves equal to 7.\n\nYou counted 1 leaf, which is blue in the stem-and-leaf plot above. 1 student scored exactly27 points.", "answer": "1", "table": "**Science test scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 0, 0, 1, 2, 7 |\n| 3 | 3, 4, 5, 7 |\n| 4 | 5, 7 |\n| 5 | 2, 5, 6, 8, 9 |" } ] }, { "id": "9142", "image": "9142.png", "conversations": [ { "from": "human", "question": "Mrs. Stanley, the science teacher, informed her students of their scores on Monday's test. What is the lowest score?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 3.\n\nNow find the lowest leaf in the first row. The lowest leaf is 5.\n\nThe lowest score has a stem of 3 and a leaf of 5. Write the stem first, then the leaf: 35.\n\nThe lowest score is 35 points.", "answer": "35", "table": "**Science test scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 5 |\n| 4 | 8 |\n| 5 | 0, 2, 6 |\n| 6 | 2, 4, 8, 8 |\n| 7 | 9 |\n| 8 | |\n| 9 | 0 |" } ] }, { "id": "9152", "image": "9152.png", "conversations": [ { "from": "human", "question": "Look at Dhruba's pay stub. Dhruba lives in a state that has state income tax. How much did Dhruba make after taxes?\n" }, { "from": "gpt", "solution": "Find how much Dhruba made after taxes. Find the total payroll tax, then subtract it from the total earnings.\nTo find the total payroll tax, add the federal income tax, state income tax, and other taxes.\nThe total earnings are $620.00. The total payroll tax is $167.04. Subtract to find the difference.\n$620.00 - $167.04 = $452.96\nDhruba made $452.96 after taxes.", "answer": "452.96", "table": "| Employee | Pay period | |\n| --- | --- | --- |\n| Dhruba Khanal | December 9-15 | |\n| Total earnings | | $620.00 |\n| Federal income tax | $71.14 | |\n| State income tax | $48.90 | |\n| Other taxes | $47.00 | |\n| Total taxes | | ? |\n| Pay after taxes | | ? |" } ] }, { "id": "9156", "image": "9156.png", "conversations": [ { "from": "human", "question": "The coach of the Academic Bowl recorded the scores in a trivia game to determine who would represent the school at the regional competition. How many people scored less than 7?\n" }, { "from": "gpt", "solution": "Find the rows for 5 and 6. Add the frequencies for these rows.\n\nAdd:\n\n8 + 0 = 8\n\n8 people scored less than 7.", "answer": "8", "table": "**Scores in a trivia game**\n\n| Score | Frequency |\n| --- | --- |\n| 5 | 8 |\n| 6 | 0 |\n| 7 | 14 |\n| 8 | 5 |\n| 9 | 18 |\n| 10 | 19 |" } ] }, { "id": "9166", "image": "9166.png", "conversations": [ { "from": "human", "question": "A researcher recorded the number of cows on each farm in the county. What is the smallest number of cows?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 1.\n\nNow find the lowest leaf in the first row. The lowest leaf is 5.\n\nThe smallest number of cows has a stem of 1 and a leaf of 5. Write the stem first, then the leaf: 15.\n\nThe smallest number of cows is 15 cows.", "answer": "15", "table": "**Cows per farm**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 5, 6, 6, 8, 9 |\n| 2 | 0, 0, 2, 9, 9 |\n| 3 | 0, 2 |\n| 4 | 3, 4, 5, 7, 9 |\n| 5 | 1, 4, 4, 5 |\n| 6 | 6, 9 |\n| 7 | 5, 9 |" } ] }, { "id": "9168", "image": "9168.png", "conversations": [ { "from": "human", "question": "How much money does Ben need to buy a trombone and a cornet?\n" }, { "from": "gpt", "solution": "Add the price of a trombone and the price of a cornet:\n\n$740 + $615 = $1,355\n\nBen needs $1,355.", "answer": "1,355", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| trumpet | $815 |\n| trombone | $740 |\n| clarinet | $767 |\n| cornet | $615 |\n| piccolo | $516 |\n| keyboard | $548 |" } ] }, { "id": "9172", "image": "9172.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $835, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $835, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $765 | 23,900 | 4,400 |\n| $835 | 23,600 | 8,100 |\n| $905 | 23,300 | 11,800 |\n| $975 | 23,000 | 15,500 |\n| $1,045 | 22,700 | 19,200 |" } ] }, { "id": "9175", "image": "9175.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Bruce got on the boat at Fisherman's Cove at 8.30 A.M. What time will he get to Oyster Lighthouse?\n" }, { "from": "gpt", "solution": "Find 8:30 A. M. in the row for Fisherman's Cove. That column shows the schedule for the boat that Bruce is on.\n\nLook down the column until you find the row for Oyster Lighthouse.\n\nBruce will get to Oyster Lighthouse at 3:45 P. M.", "answer": "3:45 P.M.", "table": "**Tour boat schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 |\n| --- | --- | --- | --- |\n| Fisherman's Cove | 8:15 A.M. | 8:30 A.M. | 9:30 A.M. |\n| Lobster Pier | 9:00 A.M. | 9:15 A.M. | 10:15 A.M. |\n| Kite Coast | 9:45 A.M. | 10:00 A.M. | 11:00 A.M. |\n| Whale Watch Harbor | 11:00 A.M. | 11:15 A.M. | 12:15 P.M. |\n| Sea Lion Docks | 12:15 P.M. | 12:30 P.M. | 1:30 P.M. |\n| Palm Tree Island | 1:00 P.M. | 1:15 P.M. | 2:15 P.M. |\n| Sea Town | 2:45 P.M. | 3:00 P.M. | 4:00 P.M. |\n| Oyster Lighthouse | 3:30 P.M. | 3:45 P.M. | 4:45 P.M. |\n| The Boardwalk | 4:30 P.M. | 4:45 P.M. | 5:45 P.M. |" } ] }, { "id": "9176", "image": "9176.png", "conversations": [ { "from": "human", "question": "A crayon factory monitored the number of broken crayons per box during the past day. How many boxes had at least 50 broken crayons but fewer than 90 broken crayons?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 5, 6, 7, and 8.\n\nYou counted 13 leaves, which are blue in the stem-and-leaf plot above. 13 boxes had at least 50 broken crayons but fewer than 90 broken crayons.", "answer": "13", "table": "**Broken crayons per box**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 4, 7 |\n| 5 | 0, 6, 8, 9 |\n| 6 | 1, 5, 7, 7 |\n| 7 | 1, 3, 8 |\n| 8 | 9, 9 |\n| 9 | 0 |" } ] }, { "id": "9181", "image": "9181.png", "conversations": [ { "from": "human", "question": "How much money does Jaden need to buy 8 blue plastic blocks?\n" }, { "from": "gpt", "solution": "Find the total cost of 8 blue plastic blocks by multiplying 8 times the price of a blue plastic block.\n\n$0.56 × 8 = $4.48\n\nJaden needs $4.48.", "answer": "4.48", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| tiny doll | $0.55 |\n| small teddy bear | $0.50 |\n| green marble | $0.47 |\n| blue plastic block | $0.56 |\n| miniature deck of cards | $0.55 |\n| colorful pinwheel | $0.96 |" } ] }, { "id": "9182", "image": "9182.png", "conversations": [ { "from": "human", "question": "Nathan wrote down how many spelling words he practiced each day. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n48, 47, 50, 48, 50, 50\n\nFirst, arrange the numbers from least to greatest:\n\n47, 48, 48, 50, 50, 50\n\nNow count how many times each number appears.\n\n47 appears 1 time.\n48 appears 2 times.\n50 appears 3 times.\n\nThe number that appears most often is 50.\n\nThe mode is 50.", "answer": "50", "table": "**Spelling words practiced**\n\n| Day | Number of spelling words |\n| --- | --- |\n| Thursday | 48 |\n| Friday | 47 |\n| Saturday | 50 |\n| Sunday | 48 |\n| Monday | 50 |\n| Tuesday | 50 |" } ] }, { "id": "9194", "image": "9194.png", "conversations": [ { "from": "human", "question": "An economics student recorded the amount of per-capita aid that the U.S. gave to various countries during the 1900s. How much aid did Nepal receive per capita in 1980?\n" }, { "from": "gpt", "solution": "First, find the row for Nepal. Then find the number in the 1980 column.\n\nThis number is $11.00. In 1980, Nepal received $11 in aid per capita.", "answer": "11", "table": "**Aid received per capita from the U.S.**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 1970 | 1980 |\n| Nepal | $2 | $11 |\n| Pakistan | $7 | $14 |\n| Libya | $3 | $5 |\n| Algeria | $9 | $9 |" } ] }, { "id": "9204", "image": "9204.png", "conversations": [ { "from": "human", "question": "How much money does Regan need to buy 7 king snakes and a bearded dragon?\n" }, { "from": "gpt", "solution": "Find the cost of 7 king snakes.\n\n$51.00 × 7 = $357.00\n\nNow find the total cost.\n\n$357.00 + $53.00 = $410.00\n\nRegan needs $410.00.", "answer": "410", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| king snake | $51.00 |\n| bearded dragon | $53.00 |\n| chinchilla | $70.00 |\n| iguana | $22.00 |" } ] }, { "id": "9206", "image": "9206.png", "conversations": [ { "from": "human", "question": "Kyle went to the store. He bought 1/4 of a pound of rocky road ice cream. How much did he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the rocky road ice cream. Multiply the price per pound by the number of pounds.\n$4 × \\frac{1}{4} = $4 × 0.25 = $1\nHe spent $1.", "answer": "1", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| rocky road ice cream | $4/pound |\n| chocolate ice cream | $4/pound |\n| butter pecan ice cream | $4/pound |\n| Neapolitan ice cream | $6/pound |" } ] }, { "id": "9217", "image": "9217.png", "conversations": [ { "from": "human", "question": "The receptionist at a doctor's office kept track of each patient's wait time. How many people waited for at least 70 minutes?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 7, 8, and 9.\n\nYou counted 10 leaves, which are blue in the stem-and-leaf plot above. 10 people waited for at least 70 minutes.", "answer": "10", "table": "**Doctor's office wait times (minutes)**\n\n| Stem | Leaf |\n| --- | --- |\n| 6 | 1, 4, 4, 7, 9 |\n| 7 | 2, 5, 9 |\n| 8 | 2, 3, 4, 5, 6, 9 |\n| 9 | 0 |" } ] }, { "id": "9222", "image": "9222.png", "conversations": [ { "from": "human", "question": "Cindy's class tracked how many newspapers each student collected for their recycling project. Who collected the fewest newspapers?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 41.\n\nNow find the corresponding name. Cindy corresponds to 41.", "answer": "Cindy", "table": "**Newspapers collected**\n\n| Name | Number of newspapers |\n| --- | --- |\n| Cindy | 41 |\n| Patty | 43 |\n| Doug | 42 |\n| Tess | 49 |" } ] }, { "id": "9223", "image": "9223.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does the bus depart from the train station?\n" }, { "from": "gpt", "solution": "Find the train station on the schedule. Find the departure time for the train station.\n\ntrain station: 12:35 P. M.", "answer": "12:35 P.M.", "table": "**Hotel shuttle bus schedule**\n\n| Location | Arrive | Depart |\n| --- | --- | --- |\n| football stadium | 10:20 A.M. | 10:25 A.M. |\n| park | 10:35 A.M. | 10:45 A.M. |\n| hotel | 11:10 A.M. | 11:15 A.M. |\n| airport | 12:05 P.M. | 12:10 P.M. |\n| train station | 12:25 P.M. | 12:35 P.M. |\n| baseball stadium | 12:40 P.M. | 12:50 P.M. |\n| bus station | 1:00 P.M. | 1:10 P.M. |" } ] }, { "id": "9231", "image": "9231.png", "conversations": [ { "from": "human", "question": "Several people compared how many Web pages they had visited. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n61, 57, 62, 63, 56, 61, 58\n\nFirst, find the greatest number. The greatest number is 63.\n\nNext, find the least number. The least number is 56.\n\nSubtract the least number from the greatest number:\n\n63 − 56 = 7\n\nThe range is 7.", "answer": "7", "table": "**Web pages visited**\n\n| Person | Number of Web pages |\n| --- | --- |\n| Frank | 61 |\n| Haley | 57 |\n| Cindy | 62 |\n| Ellie | 63 |\n| Kayla | 56 |\n| Reagan | 61 |\n| Nora | 58 |" } ] }, { "id": "9236", "image": "9236.png", "conversations": [ { "from": "human", "question": "The city recorded how many fire hydrants there are on each street. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n16, 8, 12, 11, 6, 3, 15, 13\n\nFirst, find the greatest number. The greatest number is 16.\n\nNext, find the least number. The least number is 3.\n\nSubtract the least number from the greatest number:\n\n16 − 3 = 13\n\nThe range is 13.", "answer": "13", "table": "**Fire hydrants**\n\n| Street | Number of hydrants |\n| --- | --- |\n| Elm Street | 16 |\n| Fir Street | 8 |\n| Rose Street | 12 |\n| Aspen Street | 11 |\n| Oak Street | 6 |\n| Lemon Street | 3 |\n| Pine Street | 15 |\n| Cherry Street | 13 |" } ] }, { "id": "9238", "image": "9238.png", "conversations": [ { "from": "human", "question": "Several people compared how many Web pages they had visited. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n84, 56, 70, 68, 60, 47, 75, 52\n\nFirst, count how many numbers are in the group.\n\nThere are 8 numbers.\n\nNow add all the numbers together:\n\n84 + 56 + 70 + 68 + 60 + 47 + 75 + 52 = 512\n\nNow divide the sum by the number of numbers:\n\n512 ÷ 8 = 64\n\nThe mean is 64.", "answer": "64", "table": "**Web pages visited**\n\n| Person | Number of Web pages |\n| --- | --- |\n| Bonnie | 84 |\n| Winston | 56 |\n| Percy | 70 |\n| Derek | 68 |\n| Jake | 60 |\n| Finn | 47 |\n| Carter | 75 |\n| Kurt | 52 |" } ] }, { "id": "9239", "image": "9239.png", "conversations": [ { "from": "human", "question": "Each pizza place has 10 cooks. How many cooks are in 4 pizza places?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 40 cooks in 4 pizza places.", "answer": "40", "table": "| Number of pizza places | Number of cooks |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | ? |" } ] }, { "id": "9242", "image": "9242.png", "conversations": [ { "from": "human", "question": "The houses in Christine's town get their water from a local reservoir. Christine and a group of engineers monitor the water level for safety and health reasons. The change in water level over two months is shown in the table. During which month did the water level change more?\n" }, { "from": "gpt", "solution": "A positive change means the water level went up. A negative change means the water level went down.\nTo find the month the water level changed more, use absolute value. Absolute value tells you how much the water level changed each month.\nApril: |-6| = 6\nMay: |4| = 4\nThe water level went down 6 inches in April, and it only went up 4 inches in May. The water level changed more in April.", "answer": "April", "table": "| Month | Change in water level (in.) |\n| --- | --- |\n| April | -6 |\n| May | 4 |" } ] }, { "id": "9256", "image": "9256.png", "conversations": [ { "from": "human", "question": "Oliver's campground is close to two hiking trails with scenic destinations. One trail ends at an underground lake in the bottom of a small cave. The other trail ends at a mountain peak. The elevation of each destination is shown on the campground map. Which trail's destination is farther from sea level?\n" }, { "from": "gpt", "solution": "The underground lake's elevation is negative, so it is below sea level. The mountain peak's elevation is positive, so it is above sea level.\nTo find the destination farther from sea level, use absolute value. Absolute value tells you how far each destination is from sea level.\nUnderground lake: |-350| = 350\nMountain peak: |325| = 325\nThe underground lake is 350 feet below sea level, and the mountain peak is only 325 feet above sea level. The underground lake is farther from sea level.", "answer": "underground lake", "table": "| Destination | Elevation (ft.) |\n| --- | --- |\n| Underground lake | -350 |\n| Mountain peak | 325 |" } ] }, { "id": "9258", "image": "9258.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. How long does it take to get from the kickball field to the movie theater?\n" }, { "from": "gpt", "solution": "Read the times in the first column for the kickball field and the movie theater.\n\nFind the elapsed time between 10:00 A. M. and 12:30 P. M. The elapsed time is 2 hours and 30 minutes.\n\nNo matter which column of times you look at, the elapsed time is always 2 hours and 30 minutes.", "answer": "2 hours and 30 minutes", "table": "**Bus schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 | Column 5 | Column 6 |\n| --- | --- | --- | --- | --- | --- |\n| the playground | 8:30 A.M. | 9:15 A.M. | 10:00 A.M. | 10:45 A.M. | 11:00 A.M. |\n| the grocery store | 8:45 A.M. | 9:30 A.M. | 10:15 A.M. | 11:00 A.M. | 11:15 A.M. |\n| the doctor's office | 9:15 A.M. | 10:00 A.M. | 10:45 A.M. | 11:30 A.M. | 11:45 A.M. |\n| the kickball field | 10:00 A.M. | 10:45 A.M. | 11:30 A.M. | 12:15 P.M. | 12:30 P.M. |\n| the zoo | 10:45 A.M. | 11:30 A.M. | 12:15 P.M. | 1:00 P.M. | 1:15 P.M. |\n| the school | 11:45 A.M. | 12:30 P.M. | 1:15 P.M. | 2:00 P.M. | 2:15 P.M. |\n| the movie theater | 12:30 P.M. | 1:15 P.M. | 2:00 P.M. | 2:45 P.M. | 3:00 P.M. |\n| the mall | 1:30 P.M. | 2:15 P.M. | 3:00 P.M. | 3:45 P.M. | 4:00 P.M. |" } ] }, { "id": "9260", "image": "9260.png", "conversations": [ { "from": "human", "question": "A veterinarian weighed all the dogs that visited his office last month. What is the weight of the lightest dog?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 2.\n\nNow find the lowest leaf in the first row. The lowest leaf is 4.\n\nThe weight of the lightest dog has a stem of 2 and a leaf of 4. Write the stem first, then the leaf: 24.\n\nThe weight of the lightest dog is 24 pounds.", "answer": "24", "table": "**Dogs' weights (lbs)**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 4, 4, 5 |\n| 3 | |\n| 4 | |\n| 5 | 0, 1, 7, 9 |\n| 6 | |\n| 7 | 0, 2, 6 |\n| 8 | |\n| 9 | 0 |" } ] }, { "id": "9263", "image": "9263.png", "conversations": [ { "from": "human", "question": "Toby kept track of the number of games his soccer team won each year. According to the table, what was the rate of change between 2007 and 2008?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{15 games - 18 games}{2008 - 2007}\n = \\frac{15 games - 18 games}{1 year}\n = \\frac{-3 games}{1 year}\n = -3 games per year\nThe rate of change between 2007 and 2008 was - 3 games per year.", "answer": "-3", "table": "**Games won by Toby's soccer team**\n\n| Year | Games won |\n| --- | --- |\n| 2006 | 20 |\n| 2007 | 18 |\n| 2008 | 15 |\n| 2009 | 13 |\n| 2010 | 26 |" } ] }, { "id": "9264", "image": "9264.png", "conversations": [ { "from": "human", "question": "Each van has 5 empty seats. How many empty seats are in 3 vans?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 15 empty seats in 3 vans.", "answer": "15", "table": "| Number of vans | Number of empty seats |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | ? |" } ] }, { "id": "9270", "image": "9270.png", "conversations": [ { "from": "human", "question": "Annie tracked how many laps she ran in the past 4 days. On which day did Annie run the fewest laps?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 71.\n\nNow find the corresponding day. Sunday corresponds to 71.", "answer": "Sunday", "table": "**Laps ran**\n\n| Day | Number of laps |\n| --- | --- |\n| Thursday | 74 |\n| Friday | 78 |\n| Saturday | 79 |\n| Sunday | 71 |" } ] }, { "id": "9279", "image": "9279.png", "conversations": [ { "from": "human", "question": "Carmen graphed the daily low temperature for 4 days. Which day had the lowest temperature?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 10.\n\nNow find the corresponding day. Sunday corresponds to 10.", "answer": "Sunday", "table": "**Daily low temperature**\n\n| Day | Temperature (°C) |\n| --- | --- |\n| Thursday | 11 |\n| Friday | 12 |\n| Saturday | 19 |\n| Sunday | 10 |" } ] }, { "id": "9282", "image": "9282.png", "conversations": [ { "from": "human", "question": "Some farmers compared how many tractors they own. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n8, 8, 8, 9, 9, 9, 5, 8\n\nFirst, arrange the numbers from least to greatest:\n\n5, 8, 8, 8, 8, 9, 9, 9\n\nNow count how many times each number appears.\n\n5 appears 1 time.\n8 appears 4 times.\n9 appears 3 times.\n\nThe number that appears most often is 8.\n\nThe mode is 8.", "answer": "8", "table": "**Tractors**\n\n| Farmer | Number of tractors |\n| --- | --- |\n| Farmer Megan | 8 |\n| Farmer Alex | 8 |\n| Farmer Joe | 8 |\n| Farmer John | 9 |\n| Farmer Jane | 9 |\n| Farmer Rob | 9 |\n| Farmer Susie | 5 |\n| Farmer Andy | 8 |" } ] }, { "id": "9308", "image": "9308.png", "conversations": [ { "from": "human", "question": "Johnny, a park ranger, recorded the number of each type of tree in the Boone County Park District. How many more trees are there in Walt Park than Glen Park?\n" }, { "from": "gpt", "solution": "Add the numbers in the Walt Park row. Then, add the numbers in the Glen Park row.\n\nWalt Park: 20 + 7 = 27\nGlen Park: 14 + 2 = 16\n\nNow subtract:\n\n27 − 16 = 11\n\nThere are 11 more trees in Walt Park than Glen Park.", "answer": "11", "table": "**Trees in city parks**\n\n| Park | Cherry trees | Oak trees |\n| --- | --- | --- |\n| Ross Park | 10 | 1 |\n| Walt Park | 20 | 7 |\n| Goose Park | 6 | 7 |\n| Glen Park | 14 | 2 |" } ] }, { "id": "9315", "image": "9315.png", "conversations": [ { "from": "human", "question": "A game show viewer monitors how often a wheel numbered 1 through 5 stops at each number. Which number was spun the fewest times?\n" }, { "from": "gpt", "solution": "Look at the frequency column. Find the least frequency. The least frequency is 1, which is in the row for 1. 1 was spun the fewest times.", "answer": "1", "table": "**Spinning a wheel numbered 1 through 5**\n\n| Number spun | Frequency |\n| --- | --- |\n| 1 | 1 |\n| 2 | 20 |\n| 3 | 2 |\n| 4 | 15 |\n| 5 | 7 |" } ] }, { "id": "9325", "image": "9325.png", "conversations": [ { "from": "human", "question": "Alexandra wants to buy 2+3/10 pounds of rocks. How much will she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the rocks. Multiply the price per pound by the number of pounds.\n$3 × 2\\frac{3}{10} = $3 × 2.3 = $6.90\nShe will spend $6.90.", "answer": "6.90", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| coarse gravel | $4 per lb |\n| black sand | $4 per lb |\n| pebbles | $5 per lb |\n| rocks | $3 per lb |\n| fine gravel | $4 per lb |\n| white sand | $5 per lb |" } ] }, { "id": "9330", "image": "9330.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Emmett just missed the 9.15 A.M. boat at Rocky Cliffs. How long does he have to wait until the next boat?\n" }, { "from": "gpt", "solution": "Find 9:15 A. M. in the row for Rocky Cliffs.\n\nLook for the next boat in that row.\n\nThe next boat is at 9:30 A. M.\n\nFind the elapsed time. The elapsed time is 15 minutes.", "answer": "15 minutes", "table": "**Tour boat schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 | Column 5 | Column 6 |\n| --- | --- | --- | --- | --- | --- |\n| Rocky Cliffs | 8:15 A.M. | 9:00 A.M. | 9:15 A.M. | 9:30 A.M. | 10:00 A.M. |\n| Kite Coast | 9:00 A.M. | 9:45 A.M. | 10:00 A.M. | 10:15 A.M. | 10:45 A.M. |\n| Lobster Pier | 10:15 A.M. | 11:00 A.M. | 11:15 A.M. | 11:30 A.M. | 12:00 P.M. |\n| Ocean City | 12:00 P.M. | 12:45 P.M. | 1:00 P.M. | 1:15 P.M. | 1:45 P.M. |" } ] }, { "id": "9334", "image": "9334.png", "conversations": [ { "from": "human", "question": "The players on a quiz show received the following scores. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n5, 2, 3, 6, 4, 5, 2, 2\n\nFirst, find the greatest number. The greatest number is 6.\n\nNext, find the least number. The least number is 2.\n\nSubtract the least number from the greatest number:\n\n6 − 2 = 4\n\nThe range is 4.", "answer": "4", "table": "**Quiz show scores**\n\n| Name | Score |\n| --- | --- |\n| Tessa | 5 |\n| Kimi | 2 |\n| Henry | 3 |\n| Laura | 6 |\n| Cooper | 4 |\n| Mary | 5 |\n| Shawna | 2 |\n| Adele | 2 |" } ] }, { "id": "9353", "image": "9353.png", "conversations": [ { "from": "human", "question": "How much money does Jacob need to buy a gold tack and a red thumbtack?\n" }, { "from": "gpt", "solution": "Add the price of a gold tack and the price of a red thumbtack:\n\n$0.01 + $0.09 = $0.10\n\nJacob needs $0.10.", "answer": "0.10", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| elastic band | $0.08 |\n| brass clip | $0.09 |\n| four-inch nail | $0.05 |\n| red thumbtack | $0.09 |\n| small metal hook | $0.02 |\n| gold tack | $0.01 |" } ] }, { "id": "9362", "image": "9362.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does the zebra feeding begin?\n" }, { "from": "gpt", "solution": "Find the zebra feeding on the schedule. Find the beginning time for the zebra feeding.\n\nzebra feeding: 8:55 A. M.", "answer": "8:55 A.M.", "table": "**Zoo schedule**\n\n| Event | Begin | End |\n| --- | --- | --- |\n| zebra feeding | 8:55 A.M. | 9:55 A.M. |\n| penguin feeding | 10:30 A.M. | 11:30 A.M. |\n| tiger lecture | 12:15 P.M. | 1:00 P.M. |\n| giraffe feeding | 1:00 P.M. | 1:55 P.M. |\n| panda lecture | 1:35 P.M. | 2:55 P.M. |" } ] }, { "id": "9371", "image": "9371.png", "conversations": [ { "from": "human", "question": "Annie has $6.00. Does she have enough to buy a book about snakes and a book about soccer?\n" }, { "from": "gpt", "solution": "Add the price of a book about snakes and the price of a book about soccer:\n\n$6.00 + $1.00 = $7.00\n\n$7.00 is more than $6.00. Annie does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| book about Europe | $4.00 |\n| book about soccer | $1.00 |\n| book about outer space | $4.00 |\n| book about snakes | $6.00 |\n| book about dogs | $8.00 |" } ] }, { "id": "9379", "image": "9379.png", "conversations": [ { "from": "human", "question": "A chef kept track of the number of bananas people ate last week in her cafeteria. How many people ate at least 1 banana last week?\n" }, { "from": "gpt", "solution": "Find the rows for 1, 2, and 3 bananas last week. Add the frequencies for these rows.\n\nAdd:\n\n0 + 9 + 7 = 16\n\n16 people ate at least 1 banana last week.", "answer": "16", "table": "**Eating bananas last week**\n\n| Bananas eaten | Frequency |\n| --- | --- |\n| 0 | 20 |\n| 1 | 0 |\n| 2 | 9 |\n| 3 | 7 |" } ] }, { "id": "9382", "image": "9382.png", "conversations": [ { "from": "human", "question": "Luca went on a road trip and tracked his driving each day. On which day did Luca drive the fewest miles?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 534.\n\nNow find the corresponding day. Monday corresponds to 534.", "answer": "Monday", "table": "**Miles driven**\n\n| Day | Number of miles |\n| --- | --- |\n| Friday | 554 |\n| Saturday | 543 |\n| Sunday | 535 |\n| Monday | 534 |" } ] }, { "id": "9386", "image": "9386.png", "conversations": [ { "from": "human", "question": "An employee at the craft store counted the number of red buttons in each bag of mixed buttons. How many bags had at least 50 red buttons but fewer than 70 red buttons?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 5 and 6.\n\nYou counted 10 leaves, which are blue in the stem-and-leaf plot above. 10 bags had at least 50 red buttons but fewer than 70 red buttons.", "answer": "10", "table": "**Red buttons per bag**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 0, 2, 2, 3, 4, 7 |\n| 5 | 0, 5, 6, 7, 9 |\n| 6 | 0, 0, 6, 8, 8 |\n| 7 | 0, 1 |\n| 8 | 4, 8 |" } ] }, { "id": "9392", "image": "9392.png", "conversations": [ { "from": "human", "question": "Look at this table. Is this relation a function?\n" }, { "from": "gpt", "solution": "Look at the x-values in the table.\n\nThe x-value 5 is paired with multiple y-values, so the relation is not a function.", "answer": "no", "table": "| x | y |\n| --- | --- |\n| 5 | 13 |\n| 5 | 7 |\n| 4 | 8 |" } ] }, { "id": "9395", "image": "9395.png", "conversations": [ { "from": "human", "question": "How much money does Maggie need to buy 9 red thumbtacks?\n" }, { "from": "gpt", "solution": "Find the total cost of 9 red thumbtacks by multiplying 9 times the price of a red thumbtack.\n\n$0.15 × 9 = $1.35\n\nMaggie needs $1.35.", "answer": "1.35", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| red thumbtack | $0.15 |\n| elastic band | $0.64 |\n| gold tack | $0.19 |\n| piece of plastic pipe | $0.53 |\n| flat-head bolt | $0.44 |" } ] }, { "id": "9398", "image": "9398.png", "conversations": [ { "from": "human", "question": "Look at this table. Is this relation a function?\n" }, { "from": "gpt", "solution": "Look at the x-values in the table.\n\nEach of the x-values is paired with only one y-value, so the relation is a function.", "answer": "yes", "table": "| x | y |\n| --- | --- |\n| 18 | 14 |\n| 16 | 12 |\n| 9 | 5 |\n| 7 | 8 |" } ] }, { "id": "9401", "image": "9401.png", "conversations": [ { "from": "human", "question": "Rose has $6. Does she have enough to buy a wrench and a bucket?\n" }, { "from": "gpt", "solution": "Add the price of a wrench and the price of a bucket:\n\n$5 + $3 = $8\n\n$8 is more than $6. Rose does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| mop | $3 |\n| wrench | $5 |\n| broom | $8 |\n| watering can | $5 |\n| bucket | $3 |" } ] }, { "id": "9411", "image": "9411.png", "conversations": [ { "from": "human", "question": "Anne's P.E. class participated in a push-up competition, and Anne wrote down how many push-ups each person could do. How many people did at least 50 push-ups but fewer than 70 push-ups?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 5 and 6.\n\nYou counted 12 leaves, which are blue in the stem-and-leaf plot above. 12 people did at least 50 push-ups but fewer than 70 push-ups.", "answer": "12", "table": "**Push-up competition (number of push-ups)**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 1, 2, 3, 7, 8, 8, 9, 9 |\n| 4 | 3, 4, 5 |\n| 5 | 0, 2, 3, 4, 7, 8 |\n| 6 | 0, 0, 1, 5, 6, 9 |" } ] }, { "id": "9413", "image": "9413.png", "conversations": [ { "from": "human", "question": "The movie critic liked to count the number of actors in each movie he saw. How many movies had at least 30 actors but fewer than 47 actors?\n" }, { "from": "gpt", "solution": "Count all the leaves in the row with stem 3.\n\nIn the row with stem 4, count all the leaves less than 7.\n\nYou counted 5 leaves, which are blue in the stem-and-leaf plots above. 5 movies had at least 30 actors but fewer than 47 actors.", "answer": "5", "table": "**Actors per movie**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 2, 3, 3, 3, 9 |\n| 3 | 6, 9 |\n| 4 | 3, 3, 5 |\n| 5 | 4, 4, 5 |" } ] }, { "id": "9415", "image": "9415.png", "conversations": [ { "from": "human", "question": "Nolan buys 1 kilogram of summer crisp lettuce, 1 kilogram of butterhead lettuce, and 4 kilograms of romaine lettuce. What is the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the summer crisp lettuce. Multiply:\n\n$1.09 × 1 = $1.09\n\nFind the cost of the butterhead lettuce. Multiply:\n\n$1.21 × 1 = $1.21\n\nFind the cost of the romaine lettuce. Multiply:\n\n$0.80 × 4 = $3.20\n\nNow find the total cost by adding:\n\n$1.09 + $1.21 + $3.20 = $5.50\n\nThe total cost is $5.50.", "answer": "5.50", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| summer crisp lettuce | $1.09 per kg |\n| kale | $1.97 per kg |\n| romaine lettuce | $0.80 per kg |\n| Chinese lettuce | $1.90 per kg |\n| butterhead lettuce | $1.21 per kg |" } ] }, { "id": "9417", "image": "9417.png", "conversations": [ { "from": "human", "question": "A machine dispensed red gumdrops into bags of various sizes. How many bags had less than 60 red gumdrops?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1, 2, 3, 4, and 5.\n\nYou counted 7 leaves, which are blue in the stem-and-leaf plot above. 7 bags had less than 60 red gumdrops.", "answer": "7", "table": "**Red gumdrops per bag**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 4, 4, 7 |\n| 2 | 7 |\n| 3 | 0, 4 |\n| 4 | |\n| 5 | 9 |\n| 6 | 0, 5, 6, 7, 7 |\n| 7 | 2, 3, 4, 9 |" } ] }, { "id": "9420", "image": "9420.png", "conversations": [ { "from": "human", "question": "Dave found out the sizes of all the clubs at his school. What is the size of the largest club?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 8.\n\nNow find the highest leaf in the last row. The highest leaf is 4.\n\nThe size of the largest club has a stem of 8 and a leaf of 4. Write the stem first, then the leaf: 84.\n\nThe size of the largest club is 84 members.", "answer": "84", "table": "**Club sizes (number of members)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 2, 2 |\n| 2 | 5, 6, 8 |\n| 3 | 0, 4 |\n| 4 | 5, 5 |\n| 5 | 2, 5, 8, 9 |\n| 6 | 2, 2, 3, 3, 4, 4, 4 |\n| 7 | 4, 5 |\n| 8 | 2, 4 |" } ] }, { "id": "9425", "image": "9425.png", "conversations": [ { "from": "human", "question": "A concession stand worker at the movie theater looked up how many bags of popcorn were sold in the past 4 days. On which day did the movie theater sell the most bags of popcorn?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 686.\n\nNow find the corresponding day. Tuesday corresponds to 686.", "answer": "Tuesday", "table": "**Bags of popcorn sold**\n\n| Day | Number of bags of popcorn |\n| --- | --- |\n| Tuesday | 686 |\n| Wednesday | 681 |\n| Thursday | 668 |\n| Friday | 618 |" } ] }, { "id": "9426", "image": "9426.png", "conversations": [ { "from": "human", "question": "An athlete counted how many autographs he signed each day. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 8, 7, 9, 7, 9\n\nFirst, find the greatest number. The greatest number is 9.\n\nNext, find the least number. The least number is 7.\n\nSubtract the least number from the greatest number:\n\n9 − 7 = 2\n\nThe range is 2.", "answer": "2", "table": "**Autographs signed**\n\n| Day | Number of autographs |\n| --- | --- |\n| Friday | 9 |\n| Saturday | 8 |\n| Sunday | 7 |\n| Monday | 9 |\n| Tuesday | 7 |\n| Wednesday | 9 |" } ] }, { "id": "9431", "image": "9431.png", "conversations": [ { "from": "human", "question": "Some friends compared the sizes of their stuffed animal collections. Who has the most stuffed animals?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 59.\n\nNow find the corresponding name. Ed corresponds to 59.", "answer": "Ed", "table": "**Stuffed animal collections**\n\n| Name | Number of stuffed animals |\n| --- | --- |\n| Ben | 51 |\n| Adam | 56 |\n| Ed | 59 |\n| Jayce | 58 |" } ] }, { "id": "9437", "image": "9437.png", "conversations": [ { "from": "human", "question": "To get credit for meeting her school's community service requirement, Kate kept a volunteering log. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n2, 2, 4, 9, 4, 4\n\nFirst, arrange the numbers from least to greatest:\n\n2, 2, 4, 4, 4, 9\n\nNow count how many times each number appears.\n\n2 appears 2 times.\n4 appears 3 times.\n9 appears 1 time.\n\nThe number that appears most often is 4.\n\nThe mode is 4.", "answer": "4", "table": "**Hours spent volunteering**\n\n| Day | Hours |\n| --- | --- |\n| Saturday | 2 |\n| Sunday | 2 |\n| Monday | 4 |\n| Tuesday | 9 |\n| Wednesday | 4 |\n| Thursday | 4 |" } ] }, { "id": "9438", "image": "9438.png", "conversations": [ { "from": "human", "question": "Jim, a doctor's office receptionist, tracked the average waiting time at the office each month. According to the table, what was the rate of change between June and July?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{30 minutes - 22 minutes}{1 month}\n = \\frac{8 minutes}{1 month}\n = 8 minutes per month\nThe rate of change between June and July was 8 minutes per month.", "answer": "8", "table": "**Average waiting time at a doctor's office**\n\n| Month | Waiting time (minutes) |\n| --- | --- |\n| March | 25 |\n| April | 24 |\n| May | 28 |\n| June | 22 |\n| July | 30 |" } ] }, { "id": "9441", "image": "9441.png", "conversations": [ { "from": "human", "question": "Each barn has 10 goats. How many goats are in 5 barns?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 50 goats in 5 barns.", "answer": "50", "table": "| Number of barns | Number of goats |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | 40 |\n| 5 | ? |" } ] }, { "id": "9449", "image": "9449.png", "conversations": [ { "from": "human", "question": "How much money does Jon need to buy a crystal vase and a lamp?\n" }, { "from": "gpt", "solution": "Add the price of a crystal vase and the price of a lamp:\n\n$32.37 + $22.13 = $54.50\n\nJon needs $54.50.", "answer": "54.50", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| crystal vase | $32.37 |\n| chandelier | $52.80 |\n| lamp | $22.13 |\n| crystal sculpture | $99.39 |" } ] }, { "id": "9451", "image": "9451.png", "conversations": [ { "from": "human", "question": "A shipping company keeps track of the number of boxes in each shipment they send out. How many shipments had at least 46 boxes?\n" }, { "from": "gpt", "solution": "Find the row with stem 4. Count all the leaves greater than or equal to 6.\n\nCount all the leaves in the rows with stems 5 and 6.\n\nYou counted 7 leaves, which are blue in the stem-and-leaf plots above. 7 shipments had at least 46 boxes.", "answer": "7", "table": "**Boxes per shipment**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 1, 3, 9 |\n| 3 | 3 |\n| 4 | 0, 5 |\n| 5 | 4, 5, 6, 7, 8, 8 |\n| 6 | 7 |" } ] }, { "id": "9453", "image": "9453.png", "conversations": [ { "from": "human", "question": "A bakery recorded how many cupcakes it sold in the past 5 days. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n95, 100, 100, 95, 95\n\nFirst, arrange the numbers from least to greatest:\n\n95, 95, 95, 100, 100\n\nNow count how many times each number appears.\n\n95 appears 3 times.\n100 appears 2 times.\n\nThe number that appears most often is 95.\n\nThe mode is 95.", "answer": "95", "table": "**Cupcakes sold**\n\n| Day | Number of cupcakes |\n| --- | --- |\n| Friday | 95 |\n| Saturday | 100 |\n| Sunday | 100 |\n| Monday | 95 |\n| Tuesday | 95 |" } ] }, { "id": "9454", "image": "9454.png", "conversations": [ { "from": "human", "question": "A dog show enthusiast recorded the weight of the winning dog at recent dog shows. According to the table, what was the rate of change between 2010 and 2011?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{42 kilograms - 45 kilograms}{2011 - 2010}\n = \\frac{42 kilograms - 45 kilograms}{1 year}\n = \\frac{-3 kilograms}{1 year}\n = -3 kilograms per year\nThe rate of change between 2010 and 2011 was - 3 kilograms per year.", "answer": "-3", "table": "**Weight of winning dog at a dog show**\n\n| Year | Weight (kg) |\n| --- | --- |\n| 2010 | 45 |\n| 2011 | 42 |\n| 2012 | 45 |\n| 2013 | 11 |\n| 2014 | 34 |" } ] }, { "id": "9458", "image": "9458.png", "conversations": [ { "from": "human", "question": "Look at this table. Is this relation a function?\n" }, { "from": "gpt", "solution": "Look at the x-values in the table.\n\nThe x-values 20 and 9 are paired with multiple y-values, so the relation is not a function.", "answer": "no", "table": "| x | y |\n| --- | --- |\n| 20 | 0 |\n| 9 | 12 |\n| 9 | 17 |\n| 20 | 9 |" } ] }, { "id": "9461", "image": "9461.png", "conversations": [ { "from": "human", "question": "If Jackson buys 3 pounds of crookneck squash, 5 pounds of butternut squash, and 1 pound of spaghetti squash, how much will he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the crookneck squash. Multiply:\n\n$1.89 × 3 = $5.67\n\nFind the cost of the butternut squash. Multiply:\n\n$1.08 × 5 = $5.40\n\nFind the cost of the spaghetti squash. Multiply:\n\n$2.63 × 1 = $2.63\n\nNow find the total cost by adding:\n\n$5.67 + $5.40 + $2.63 = $13.70\n\nHe will spend $13.70.", "answer": "13.70", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| spaghetti squash | $2.63 per lb |\n| globe squash | $1.42 per lb |\n| pumpkin | $1.37 per lb |\n| crookneck squash | $1.89 per lb |\n| zucchini | $2.27 per lb |\n| butternut squash | $1.08 per lb |" } ] }, { "id": "9468", "image": "9468.png", "conversations": [ { "from": "human", "question": "Laura wrote down how many cups of lemonade she sold in the past 4 days. On which day did the stand sell the most lemonade?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 38.\n\nNow find the corresponding day. Friday corresponds to 38.", "answer": "Friday", "table": "**Cups of lemonade sold**\n\n| Day | Number of cups |\n| --- | --- |\n| Thursday | 37 |\n| Friday | 38 |\n| Saturday | 31 |\n| Sunday | 34 |" } ] }, { "id": "9479", "image": "9479.png", "conversations": [ { "from": "human", "question": "After a scavenger hunt, a team counted the number of pine cones found by each of its members. How many people are there in all?\n" }, { "from": "gpt", "solution": "Add the frequencies for each row.\n\nAdd:\n\n20 + 8 + 16 + 6 = 50\n\nThere are 50 people in all.", "answer": "50", "table": "**Finding pine cones**\n\n| Pine cones found | Frequency |\n| --- | --- |\n| 1 | 20 |\n| 2 | 8 |\n| 3 | 16 |\n| 4 | 6 |" } ] }, { "id": "9481", "image": "9481.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{9 - 0}{7 - 6}\n = \\frac{9}{1}\n = 9\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{18 - 0}{8 - 6}\n = \\frac{18}{2}\n = 9\nThe two rates of change are the same.\nIf you checked the rate of change between rows 2 and 3, you would find that it is also 9.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 6 | 0 |\n| 7 | 9 |\n| 8 | 18 |" } ] }, { "id": "9496", "image": "9496.png", "conversations": [ { "from": "human", "question": "While looking through an almanac at the library, Walter noticed some data showing the population density of various states. In 1990, which had more people per square mile, South Dakota or Montana?\n" }, { "from": "gpt", "solution": "Find the 1990 column. Compare the numbers in this column for South Dakota and Montana.\n\n9 is more than 5. South Dakota had more people per square mile in 1990.", "answer": "South Dakota", "table": "**Population per square mile**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| State | 1990 | 2000 |\n| New Mexico | 12 | 15 |\n| South Dakota | 9 | 10 |\n| Nevada | 10 | 18 |\n| Montana | 5 | 6 |\n| Idaho | 12 | 15 |" } ] }, { "id": "9497", "image": "9497.png", "conversations": [ { "from": "human", "question": "The members of the swimming team compared how many laps they swam yesterday. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n89, 97, 94, 97, 87\n\nFirst, arrange the numbers from least to greatest:\n\n87, 89, 94, 97, 97\n\nNow find the number in the middle.\n\n87, 89, 94, 97, 97\n\nThe number in the middle is 94.\n\nThe median is 94.", "answer": "94", "table": "**Swimming laps**\n\n| Name | Laps |\n| --- | --- |\n| Christine | 89 |\n| Harold | 97 |\n| Bill | 94 |\n| Gabe | 97 |\n| Devin | 87 |" } ] }, { "id": "9505", "image": "9505.png", "conversations": [ { "from": "human", "question": "How much more does a pair of tennis shoes cost than a pair of brown pants?\n" }, { "from": "gpt", "solution": "Subtract the price of a pair of brown pants from the price of a pair of tennis shoes.\n\n$27.00 - $17.00 = $10.00\n\nA pair of tennis shoes costs $10.00 more than a pair of brown pants.", "answer": "10", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pair of jeans | $25.00 |\n| pair of tennis shoes | $27.00 |\n| pair of brown pants | $17.00 |\n| red sweater | $12.00 |\n| denim jacket | $23.00 |" } ] }, { "id": "9506", "image": "9506.png", "conversations": [ { "from": "human", "question": "The members of the local garden club tallied the number of plants in each person's garden. How many gardens have at least 40 plants but fewer than 90 plants?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 4, 5, 6, 7, and 8.\n\nYou counted 14 leaves, which are blue in the stem-and-leaf plot above. 14 gardens have at least 40 plants but fewer than 90 plants.", "answer": "14", "table": "**Plants per garden**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 0, 2, 3, 6 |\n| 4 | 4, 7, 9 |\n| 5 | 6, 7, 8 |\n| 6 | 7, 7, 8 |\n| 7 | 1 |\n| 8 | 4, 6, 6, 7 |" } ] }, { "id": "9508", "image": "9508.png", "conversations": [ { "from": "human", "question": "Lacey has $0.17. Does she have enough to buy a piece of licorice and a butterscotch candy?\n" }, { "from": "gpt", "solution": "Add the price of a piece of licorice and the price of a butterscotch candy:\n\n$0.07 + $0.09 = $0.16\n\n$0.16 is less than $0.17. Lacey does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| butterscotch candy | $0.09 |\n| peppermint candy | $0.06 |\n| lemon drop | $0.05 |\n| piece of gum | $0.03 |\n| piece of licorice | $0.07 |\n| gummy bear | $0.04 |" } ] }, { "id": "9513", "image": "9513.png", "conversations": [ { "from": "human", "question": "A technical support line tracked how many calls it received each day. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n89, 90, 90, 89, 78, 85\n\nFirst, find the greatest number. The greatest number is 90.\n\nNext, find the least number. The least number is 78.\n\nSubtract the least number from the greatest number:\n\n90 − 78 = 12\n\nThe range is 12.", "answer": "12", "table": "**Phone calls received**\n\n| Day | Number of calls |\n| --- | --- |\n| Wednesday | 89 |\n| Thursday | 90 |\n| Friday | 90 |\n| Saturday | 89 |\n| Sunday | 78 |\n| Monday | 85 |" } ] }, { "id": "9524", "image": "9524.png", "conversations": [ { "from": "human", "question": "Patty wrote down how many spelling words she practiced each day. On which day did Patty practice the most spelling words?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 98.\n\nNow find the corresponding day. Friday corresponds to 98.", "answer": "Friday", "table": "**Spelling words practiced**\n\n| Day | Number of spelling words |\n| --- | --- |\n| Wednesday | 92 |\n| Thursday | 94 |\n| Friday | 98 |\n| Saturday | 97 |" } ] }, { "id": "9531", "image": "9531.png", "conversations": [ { "from": "human", "question": "Mr. Todd recorded the scores of his students on the most recent math quiz. How many students are there in all?\n" }, { "from": "gpt", "solution": "Add the frequencies for each row.\n\nAdd:\n\n7 + 8 + 0 + 5 + 18 + 1 = 39\n\nThere are 39 students in all.", "answer": "39", "table": "**Scores on the math quiz**\n\n| Score | Frequency |\n| --- | --- |\n| 5 | 7 |\n| 6 | 8 |\n| 7 | 0 |\n| 8 | 5 |\n| 9 | 18 |\n| 10 | 1 |" } ] }, { "id": "9533", "image": "9533.png", "conversations": [ { "from": "human", "question": "After a spelling bee, some students compared how many words they spelled correctly. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n74, 72, 82, 88, 79\n\nFirst, count how many numbers are in the group.\n\nThere are 5 numbers.\n\nNow add all the numbers together:\n\n74 + 72 + 82 + 88 + 79 = 395\n\nNow divide the sum by the number of numbers:\n\n395 ÷ 5 = 79\n\nThe mean is 79.", "answer": "79", "table": "**Spelling bee results**\n\n| Name | Number of words spelled correctly |\n| --- | --- |\n| Jaden | 74 |\n| Gwen | 72 |\n| Dwayne | 82 |\n| Carrie | 88 |\n| Evelyn | 79 |" } ] }, { "id": "9534", "image": "9534.png", "conversations": [ { "from": "human", "question": "Riley kept track of the number of characters in each book she read. How many books had at least 34 characters but fewer than 39 characters?\n" }, { "from": "gpt", "solution": "Find the row with stem 3. Count all the leaves greater than or equal to 4 and less than 9.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 books had at least 34 characters but fewer than 39 characters.", "answer": "2", "table": "**Characters per book**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 7 |\n| 2 | 2, 6, 8 |\n| 3 | 0, 5, 8 |\n| 4 | 1 |\n| 5 | 3, 8 |" } ] }, { "id": "9539", "image": "9539.png", "conversations": [ { "from": "human", "question": "Use the data to answer the question below. Is the following statement about our solar system true or false? Earth is the largest planet that is made mainly of rock.\n" }, { "from": "gpt", "solution": "The table tells you that Mercury, Venus, Earth, and Mars are the planets made mainly of rock. Of these planets, Earth has the volume with the largest exponent. So, Earth is the largest planet that is made mainly of rock.", "answer": "true", "table": "**Planet Volume (km3) Primary composition**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Mercury | 6.08 x | 1010 rock |\n| Venus | 9.28 x | 1011 rock |\n| Earth | 1.08 x | 1012 rock |\n| Mars | 1.63 x | 1011 rock |\n| Jupiter | 1.43 x | 1015 gas |\n| Saturn | 8.27 x | 1014 gas |\n| Uranus | 6.83 x | 1013 ice |\n| Neptune | 6.25 x | 1013 ice |" } ] }, { "id": "9548", "image": "9548.png", "conversations": [ { "from": "human", "question": "Hunter has $17.18. How much money will Hunter have left if he buys a board game and a boomerang?\n" }, { "from": "gpt", "solution": "Find the total cost of a board game and a boomerang.\n\n$8.00 + $6.90 = $14.90\n\nNow subtract the total cost from the starting amount.\n\n$17.18 - $14.90 = $2.28\n\nHunter will have $2.28 left.", "answer": "2.28", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| toy truck | $4.99 |\n| board game | $8.00 |\n| jigsaw puzzle | $7.44 |\n| boomerang | $6.90 |\n| toy dinosaur | $2.26 |" } ] }, { "id": "9552", "image": "9552.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does marching band practice begin?\n" }, { "from": "gpt", "solution": "Find marching band practice on the schedule. Find the beginning time for marching band practice.\n\nmarching band practice: 6:10 P. M.", "answer": "6:10 P.M.", "table": "**High school schedule**\n\n| Event | Begin | End |\n| --- | --- | --- |\n| football game | 1:10 P.M. | 2:15 P.M. |\n| student government meeting | 1:55 P.M. | 2:50 P.M. |\n| choir concert | 2:10 P.M. | 3:30 P.M. |\n| women's soccer practice | 3:05 P.M. | 4:10 P.M. |\n| water polo practice | 3:40 P.M. | 4:45 P.M. |\n| track meet | 4:20 P.M. | 5:55 P.M. |\n| theater rehearsal | 5:45 P.M. | 6:35 P.M. |\n| marching band practice | 6:10 P.M. | 6:50 P.M. |\n| Spanish club meeting | 6:40 P.M. | 8:20 P.M. |" } ] }, { "id": "9554", "image": "9554.png", "conversations": [ { "from": "human", "question": "How much money does Arianna need to buy an antique cherry bookcase and an antique maplewood rocking chair?\n" }, { "from": "gpt", "solution": "Add the price of an antique cherry bookcase and the price of an antique maplewood rocking chair:\n\n$748.00 + $369.00 = $1,117.00\n\nArianna needs $1,117.00.", "answer": "1,117", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| antique marbletop vanity | $642.00 |\n| antique pine chest of drawers | $436.00 |\n| antique cast-iron bench | $860.00 |\n| antique maplewood rocking chair | $369.00 |\n| antique rosewood corner cabinet | $818.00 |\n| antique cherry bookcase | $748.00 |" } ] }, { "id": "9566", "image": "9566.png", "conversations": [ { "from": "human", "question": "The advertising agency counted the number of billboards in each city in the state. How many cities have fewer than 70 billboards?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 4, 5, and 6.\n\nYou counted 9 leaves, which are blue in the stem-and-leaf plot above. 9 cities have fewer than 70 billboards.", "answer": "9", "table": "**Billboards per city**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 1, 1 |\n| 5 | 0, 2, 7 |\n| 6 | 0, 2, 3, 6 |\n| 7 | 1, 2, 4 |\n| 8 | 1, 2 |\n| 9 | 0 |" } ] }, { "id": "9567", "image": "9567.png", "conversations": [ { "from": "human", "question": "How much more does a book about South America cost than a book about hiking?\n" }, { "from": "gpt", "solution": "Subtract the price of a book about hiking from the price of a book about South America.\n\n$3.43 - $1.84 = $1.59\n\nA book about South America costs $1.59 more than a book about hiking.", "answer": "1.59", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| book about South America | $3.43 |\n| book about the Olympics | $2.92 |\n| book about soccer | $6.06 |\n| book about Antarctica | $7.88 |\n| book about trains | $4.54 |\n| book about hiking | $1.84 |" } ] }, { "id": "9577", "image": "9577.png", "conversations": [ { "from": "human", "question": "Johnny went to the store. He bought 1 kilogram of flower-shaped beads, 2 kilograms of square beads, and 2 kilograms of star-shaped beads. How much did he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the flower-shaped beads. Multiply:\n\n$3 × 1 = $3\n\nFind the cost of the square beads. Multiply:\n\n$2 × 2 = $4\n\nFind the cost of the star-shaped beads. Multiply:\n\n$2 × 2 = $4\n\nNow find the total cost by adding:\n\n$3 + $4 + $4 = $11\n\nHe spent $11.", "answer": "11", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| flower-shaped beads | $3/kilogram |\n| star-shaped beads | $2/kilogram |\n| square beads | $2/kilogram |\n| heart-shaped beads | $2/kilogram |" } ] }, { "id": "9582", "image": "9582.png", "conversations": [ { "from": "human", "question": "How much money does Philip need to buy 9 black jackets and 5 pairs of jeans?\n" }, { "from": "gpt", "solution": "Find the cost of 9 black jackets.\n\n$23.66 × 9 = $212.94\n\nFind the cost of 5 pairs of jeans.\n\n$35.14 × 5 = $175.70\n\nNow find the total cost.\n\n$212.94 + $175.70 = $388.64\n\nPhilip needs $388.64.", "answer": "388.64", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pair of jeans | $35.14 |\n| winter jacket | $47.36 |\n| green sweatshirt | $15.62 |\n| black jacket | $23.66 |" } ] }, { "id": "9589", "image": "9589.png", "conversations": [ { "from": "human", "question": "Pam counted the number of desks in each classroom at her school. How many classrooms have exactly 11 desks?\n" }, { "from": "gpt", "solution": "For the number 11, the stem is 1, and the leaf is 1. Find the row where the stem is 1. In that row, count all the leaves equal to 1.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 classrooms have exactly11 desks.", "answer": "3", "table": "**Desks per classroom**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 1, 1, 1 |\n| 2 | 1, 8 |\n| 3 | |\n| 4 | 9 |" } ] }, { "id": "9599", "image": "9599.png", "conversations": [ { "from": "human", "question": "Tommy paid attention to how many flowers he planted in the garden during the past 7 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n10, 4, 4, 5, 2, 6, 1\n\nFirst, find the greatest number. The greatest number is 10.\n\nNext, find the least number. The least number is 1.\n\nSubtract the least number from the greatest number:\n\n10 − 1 = 9\n\nThe range is 9.", "answer": "9", "table": "**Flowers plants**\n\n| Day | Number of flowers |\n| --- | --- |\n| Tuesday | 10 |\n| Wednesday | 4 |\n| Thursday | 4 |\n| Friday | 5 |\n| Saturday | 2 |\n| Sunday | 6 |\n| Monday | 1 |" } ] }, { "id": "9603", "image": "9603.png", "conversations": [ { "from": "human", "question": "For a study on numerical psychology, people were polled about which number between 1 and 5 they like most, and why. How many people said a number less than 3?\n" }, { "from": "gpt", "solution": "Find the rows for 1 and 2. Add the frequencies for these rows.\n\nAdd:\n\n19 + 16 = 35\n\n35 people said a number less than 3.", "answer": "35", "table": "**People's favorite numbers between 1 and 5**\n\n| Favorite number | Frequency |\n| --- | --- |\n| 1 | 19 |\n| 2 | 16 |\n| 3 | 11 |\n| 4 | 8 |\n| 5 | 0 |" } ] }, { "id": "9605", "image": "9605.png", "conversations": [ { "from": "human", "question": "Grayson just returned from a spring break volunteer trip. He is shopping for a photo album that will showcase his photos from the trip. The albums range in photo capacity and orientation. What is the probability that a randomly selected photo album holds exactly 50 photos and is oriented vertically? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the photo album holds exactly 50 photos\" and B be the event \"the photo album is oriented vertically\".\nTo find the probability that a photo album holds exactly 50 photos and is oriented vertically, first identify the sample space and the event.\nThe outcomes in the sample space are the different photo albums. Each photo album is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the photo album holds exactly 50 photos and is oriented vertically\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the photo album holds exactly 50 photos and is oriented vertically\", so look at the table to see how many photo albums hold exactly 50 photos and are oriented vertically.\nThe number of photo albums that hold exactly 50 photos and are oriented vertically is 3.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of photo albums.\n4 + 7 + 3 + 6 = 20\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{3}{20}\nThe probability that a photo album holds exactly 50 photos and is oriented vertically is \\frac{3}{20}.", "answer": "3/20", "table": "| | Horizontally | Vertically |\n| --- | --- | --- |\n| 50 photos | 4 | 3 |\n| 100 photos | 7 | 6 |" } ] }, { "id": "9606", "image": "9606.png", "conversations": [ { "from": "human", "question": "A stock broker followed the stock prices of a certain set of companies. Which company's stock cost less on Monday, Jonas Incorporated or Watson and Partners?\n" }, { "from": "gpt", "solution": "Find the Monday column. Compare the numbers in this column for Jonas Incorporated and Watson and Partners.\n\n$5.00 is less than $15.00. On Monday, Jonas Incorporated's stock cost less.", "answer": "Jonas Incorporated", "table": "**Stock prices**\n\n| Company | Monday | Tuesday |\n| --- | --- | --- |\n| Jonas Incorporated | $5 | $8 |\n| Houston Sporting Goods | $4 | $4 |\n| Watson and Partners | $15 | $8 |" } ] }, { "id": "9611", "image": "9611.png", "conversations": [ { "from": "human", "question": "A Technical Assistance Manager monitored his customers' wait times. How many people waited for at least 45 minutes but less than 50 minutes?\n" }, { "from": "gpt", "solution": "Find the row with stem 4. Count all the leaves greater than or equal to 5.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 people waited for at least 45 minutes but less than 50 minutes.", "answer": "3", "table": "**Technical assistance wait times (minutes)**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 4, 4, 8, 9, 9 |\n| 3 | 0, 1, 2, 3, 3, 3, 4, 6, 6, 6 |\n| 4 | 0, 4, 5, 6, 9 |\n| 5 | 0, 1, 3, 4, 8 |" } ] }, { "id": "9616", "image": "9616.png", "conversations": [ { "from": "human", "question": "If Eliana buys 4.2 kilograms of American cheese, how much will she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the American cheese. Multiply the price per kilogram by the number of kilograms.\n$2 × 4.2 = $8.40\nShe will spend $8.40.", "answer": "8.40", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| gorgonzola | $2 per kilogram |\n| Swiss | $2 per kilogram |\n| Parmesan | $3 per kilogram |\n| American cheese | $2 per kilogram |\n| ricotta | $2 per kilogram |\n| cheddar | $4 per kilogram |" } ] }, { "id": "9618", "image": "9618.png", "conversations": [ { "from": "human", "question": "Some friends compared the sizes of their stuffed animal collections. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n79, 74, 57, 76, 75, 76, 66\n\nFirst, arrange the numbers from least to greatest:\n\n57, 66, 74, 75, 76, 76, 79\n\nNow find the number in the middle.\n\n57, 66, 74, 75, 76, 76, 79\n\nThe number in the middle is 75.\n\nThe median is 75.", "answer": "75", "table": "**Stuffed animal collections**\n\n| Name | Number of stuffed animals |\n| --- | --- |\n| Owen | 79 |\n| Gabby | 74 |\n| Colette | 57 |\n| Desmond | 76 |\n| Perry | 75 |\n| Victoria | 76 |\n| Bill | 66 |" } ] }, { "id": "9619", "image": "9619.png", "conversations": [ { "from": "human", "question": "Each year, the campers at Celine's summer camp try to set that summer's record for finishing the obstacle course as quickly as possible. According to the table, what was the rate of change between 2009 and 2010?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{21 minutes - 30 minutes}{2010 - 2009}\n = \\frac{21 minutes - 30 minutes}{1 year}\n = \\frac{-9 minutes}{1 year}\n = -9 minutes per year\nThe rate of change between 2009 and 2010 was - 9 minutes per year.", "answer": "-9", "table": "**Record obstacle course completion times**\n\n| Year | Record time (minutes) |\n| --- | --- |\n| 2006 | 28 |\n| 2007 | 24 |\n| 2008 | 29 |\n| 2009 | 30 |\n| 2010 | 21 |" } ] }, { "id": "9625", "image": "9625.png", "conversations": [ { "from": "human", "question": "Meg went to the store. She bought 2 kilograms of small binder clips and 4 kilograms of large binder clips. How much did she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the small binder clips. Multiply:\n\n$1.96 × 2 = $3.92\n\nFind the cost of the large binder clips. Multiply:\n\n$2.21 × 4 = $8.84\n\nNow find the total cost by adding:\n\n$3.92 + $8.84 = $12.76\n\nShe spent $12.76.", "answer": "12.76", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| large binder clips | $2.21/kg |\n| jumbo binder clips | $2.36/kg |\n| small binder clips | $1.96/kg |\n| standard paper clips | $2.13/kg |\n| colored paper clips | $2.14/kg |\n| medium binder clips | $2.08/kg |" } ] }, { "id": "9629", "image": "9629.png", "conversations": [ { "from": "human", "question": "Some dealerships compared their vehicle sales. Which dealership sold the fewest vehicles?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 228.\n\nNow find the corresponding dealership. Cars of Pryor Falls corresponds to 228.", "answer": "Cars of Pryor Falls", "table": "**Vehicle sales**\n\n| Dealership | Number of vehicles |\n| --- | --- |\n| Truck Town | 287 |\n| Cars of Pryor Falls | 228 |\n| Braverton Autos | 289 |\n| Ledbetter Auto Mall | 278 |" } ] }, { "id": "9634", "image": "9634.png", "conversations": [ { "from": "human", "question": "Sue looked over her calendar to see how many times she had soccer practice each month. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n27, 26, 24, 17, 19, 19\n\nFirst, count how many numbers are in the group.\n\nThere are 6 numbers.\n\nNow add all the numbers together:\n\n27 + 26 + 24 + 17 + 19 + 19 = 132\n\nNow divide the sum by the number of numbers:\n\n132 ÷ 6 = 22\n\nThe mean is 22.", "answer": "22", "table": "**Soccer practice**\n\n| Month | Number of practices |\n| --- | --- |\n| August | 27 |\n| September | 26 |\n| October | 24 |\n| November | 17 |\n| March | 19 |\n| April | 19 |" } ] }, { "id": "9636", "image": "9636.png", "conversations": [ { "from": "human", "question": "A pair of Fulton High School hockey fans counted the number of games won by the school each year. According to the table, what was the rate of change between 2010 and 2011?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{11 games - 15 games}{2011 - 2010}\n = \\frac{11 games - 15 games}{1 year}\n = \\frac{-4 games}{1 year}\n = -4 games per year\nThe rate of change between 2010 and 2011 was - 4 games per year.", "answer": "-4", "table": "**Hockey games won by Fulton High**\n\n| Year | Games won |\n| --- | --- |\n| 2008 | 15 |\n| 2009 | 11 |\n| 2010 | 15 |\n| 2011 | 11 |\n| 2012 | 7 |" } ] }, { "id": "9644", "image": "9644.png", "conversations": [ { "from": "human", "question": "The school district compared how many swings each elementary school has. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 8, 3, 3, 5, 8\n\nFirst, find the greatest number. The greatest number is 9.\n\nNext, find the least number. The least number is 3.\n\nSubtract the least number from the greatest number:\n\n9 − 3 = 6\n\nThe range is 6.", "answer": "6", "table": "**Swings**\n\n| School | Number of swings |\n| --- | --- |\n| Lincoln Elementary | 9 |\n| Jefferson Elementary | 8 |\n| Hillside Elementary | 3 |\n| Newberry Elementary | 3 |\n| Boyd Elementary | 5 |\n| Valley Elementary | 8 |" } ] }, { "id": "9646", "image": "9646.png", "conversations": [ { "from": "human", "question": "If Linda buys 2+1/4 kilograms of light brown sugar, how much will she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the light brown sugar. Multiply the price per kilogram by the number of kilograms.\n$2 × 2\\frac{1}{4} = $2 × 2.25 = $4.50\nShe will spend $4.50.", "answer": "4.50", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| light brown sugar | $2/kg |\n| dark brown sugar | $1/kg |\n| agave syrup | $2/kg |\n| powdered sugar | $2/kg |\n| maple syrup | $2/kg |\n| granulated sugar | $1/kg |" } ] }, { "id": "9660", "image": "9660.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which event begins at 6.50 P.M.?\n" }, { "from": "gpt", "solution": "Find 6:50 P. M. on the schedule. The plant demonstration begins at 6:50 P. M.", "answer": "plant demonstration", "table": "**Science museum schedule**\n\n| Event | Begin | End |\n| --- | --- | --- |\n| electricity demonstration | 10:10 A.M. | 12:30 P.M. |\n| reptile show | 12:05 P.M. | 1:05 P.M. |\n| engine demonstration | 12:45 P.M. | 3:15 P.M. |\n| weather demonstration | 3:00 P.M. | 4:55 P.M. |\n| gravity lecture | 4:30 P.M. | 5:25 P.M. |\n| dinosaur show | 5:10 P.M. | 7:00 P.M. |\n| nutrition lecture | 6:20 P.M. | 7:20 P.M. |\n| plant demonstration | 6:50 P.M. | 8:25 P.M. |" } ] }, { "id": "9661", "image": "9661.png", "conversations": [ { "from": "human", "question": "Martina is shopping for a new bicycle. She is most interested in color and type of tires. What is the probability that a randomly selected bike is red and has mountain bike tires? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the bike is red\" and B be the event \"the bike has mountain bike tires\".\nTo find the probability that a bike is red and has mountain bike tires, first identify the sample space and the event.\nThe outcomes in the sample space are the different bikes. Each bike is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the bike is red and has mountain bike tires\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the bike is red and has mountain bike tires\", so look at the table to see how many bikes are a red and have mountain bike tires.\nThe number of bikes that are a red and have mountain bike tires is 7.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of bikes.\n4 + 5 + 7 + 3 = 19\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{7}{19}\nThe probability that a bike is red and has mountain bike tires is \\frac{7}{19}.", "answer": "7/19", "table": "| | Road bike tires | Mountain bike tires |\n| --- | --- | --- |\n| Red | 4 | 7 |\n| Green | 5 | 3 |" } ] }, { "id": "9663", "image": "9663.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $1,145, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $1,145, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $995 | 19,900 | 12,600 |\n| $1,045 | 16,600 | 14,200 |\n| $1,095 | 13,300 | 15,800 |\n| $1,145 | 10,000 | 17,400 |\n| $1,195 | 6,700 | 19,000 |" } ] }, { "id": "9675", "image": "9675.png", "conversations": [ { "from": "human", "question": "A furniture store kept a record of how many couches it sold each day. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n5, 9, 10, 6, 10, 8, 10\n\nFirst, arrange the numbers from least to greatest:\n\n5, 6, 8, 9, 10, 10, 10\n\nNow find the number in the middle.\n\n5, 6, 8, 9, 10, 10, 10\n\nThe number in the middle is 9.\n\nThe median is 9.", "answer": "9", "table": "**Couches sold**\n\n| Day | Number of couches |\n| --- | --- |\n| Wednesday | 5 |\n| Thursday | 9 |\n| Friday | 10 |\n| Saturday | 6 |\n| Sunday | 10 |\n| Monday | 8 |\n| Tuesday | 10 |" } ] }, { "id": "9680", "image": "9680.png", "conversations": [ { "from": "human", "question": "A magazine editor looked at her sales figures for the past 3 months. How many copies in total were sold in February and March?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nFebruary: 103\nMarch: 371\n\nNow add: 103 + 371 = 474.\n\n474 copies were sold in February and March.", "answer": "474", "table": "**Magazines sold**\n\n| Month | Number of magazines |\n| --- | --- |\n| January | 782 |\n| February | 103 |\n| March | 371 |" } ] }, { "id": "9684", "image": "9684.png", "conversations": [ { "from": "human", "question": "Larry just downloaded the new game Gem Excavator on his phone. In the first level, Larry gains points for each green gem he finds. However, he loses points for each red gem he finds. The table shows how the gems affect Larry's points. Which color gem affects Larry's points less?\n" }, { "from": "gpt", "solution": "To find the gem that affects Larry's points less, use absolute value. Absolute value tells you how much Larry's points change for each color gem.\nGreen: |25| = 25\nRed: |-40| = 40\nLarry gains 25 points for each green gem he finds, and he loses 40 points for each red gem he finds. So, the green gems affect Larry's points less.", "answer": "green", "table": "| Gem color | Change in points |\n| --- | --- |\n| Green | 25 |\n| Red | -40 |" } ] }, { "id": "9692", "image": "9692.png", "conversations": [ { "from": "human", "question": "A farmer wrote down how many kilograms of cherries were sold in the past 4 days. On which day were the most kilograms of cherries sold?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 38.\n\nNow find the corresponding day. Friday corresponds to 38.", "answer": "Friday", "table": "**Cherries sold**\n\n| Day | Kilograms |\n| --- | --- |\n| Thursday | 30 |\n| Friday | 38 |\n| Saturday | 31 |\n| Sunday | 37 |" } ] }, { "id": "9694", "image": "9694.png", "conversations": [ { "from": "human", "question": "A food industry researcher compiled the revenues of several pizzerias. How much more did Taste of New York make from pizzas than Dan's Deep Dish?\n" }, { "from": "gpt", "solution": "Add the numbers in the Taste of New York row. Then, add the numbers in the Dan's Deep Dish row.\n\nTaste of New York: $17.00 + $14.00 = $31.00\nDan's Deep Dish: $9.00 + $7.00 = $16.00\n\nNow subtract:\n\n$31.00 − $16.00 = $15.00\n\nTaste of New York made $15 more from pizzas than Dan's Deep Dish.", "answer": "15", "table": "**Pizza sales**\n\n| Restaurant | Cheese pizzas | Pepperoni pizzas |\n| --- | --- | --- |\n| Taste of New York | $17 | $14 |\n| Pizzeria Italiano | $20 | $17 |\n| Pizza, Pasta and More | $8 | $19 |\n| Dan's Deep Dish | $9 | $7 |\n| The Big Cheese | $14 | $6 |" } ] }, { "id": "9702", "image": "9702.png", "conversations": [ { "from": "human", "question": "Alexa has $44.00. Does she have enough to buy a carrot cake and a strawberry cheesecake?\n" }, { "from": "gpt", "solution": "Add the price of a carrot cake and the price of a strawberry cheesecake:\n\n$17.18 + $26.16 = $43.34\n\n$43.34 is less than $44.00. Alexa does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| carrot cake | $17.18 |\n| strawberry cheesecake | $26.16 |\n| key lime pie | $14.36 |\n| apple pie | $12.19 |\n| birthday cake | $28.47 |" } ] }, { "id": "9703", "image": "9703.png", "conversations": [ { "from": "human", "question": "An employee at the craft store counted the number of red buttons in each bag of mixed buttons. How many bags had at least 58 red buttons but fewer than 88 red buttons?\n" }, { "from": "gpt", "solution": "Find the row with stem 5. Count all the leaves greater than or equal to 8.\n\nCount all the leaves in the rows with stems 6 and 7.\n\nIn the row with stem 8, count all the leaves less than 8.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plots above. 4 bags had at least 58 red buttons but fewer than 88 red buttons.", "answer": "4", "table": "**Red buttons per bag**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 5, 6, 7 |\n| 2 | 0, 4, 5, 9 |\n| 3 | 1, 2, 5 |\n| 4 | 9 |\n| 5 | |\n| 6 | 7 |\n| 7 | 3, 3, 4 |\n| 8 | |\n| 9 | 0 |" } ] }, { "id": "9705", "image": "9705.png", "conversations": [ { "from": "human", "question": "Each crate has 2 boxes of grapes. How many boxes of grapes are in 4 crates?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 8 boxes of grapes in 4 crates.", "answer": "8", "table": "| Number of crates | Number of boxes of grapes |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | 6 |\n| 4 | ? |" } ] }, { "id": "9726", "image": "9726.png", "conversations": [ { "from": "human", "question": "Janet has $738. Does she have enough to buy a night's stay at Crescent Motel and a night's stay at Cerulean Resort?\n" }, { "from": "gpt", "solution": "Add the price of a night's stay at Crescent Motel and the price of a night's stay at Cerulean Resort:\n\n$479 + $252 = $731\n\n$731 is less than $738. Janet does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| night's stay at Golden Peak Hotel | $304 |\n| night's stay at Summit Hotel and Spa | $181 |\n| night's stay at Cerulean Resort | $252 |\n| night's stay at Crescent Motel | $479 |" } ] }, { "id": "9735", "image": "9735.png", "conversations": [ { "from": "human", "question": "Lara has $10.73. Does she have enough to buy a math book and a mystery novel?\n" }, { "from": "gpt", "solution": "Add the price of a math book and the price of a mystery novel:\n\n$6.84 + $3.74 = $10.58\n\n$10.58 is less than $10.73. Lara does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| science book | $1.09 |\n| mystery novel | $3.74 |\n| picture book | $5.49 |\n| math book | $6.84 |\n| spelling workbook | $8.97 |" } ] }, { "id": "9740", "image": "9740.png", "conversations": [ { "from": "human", "question": "A toy store employee counted the number of toys in each bin in the sale section. How many bins had exactly 67 toys?\n" }, { "from": "gpt", "solution": "For the number 67, the stem is 6, and the leaf is 7. Find the row where the stem is 6. In that row, count all the leaves equal to 7.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 bins had exactly 67 toys.", "answer": "2", "table": "**Toys per bin**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 7 |\n| 4 | |\n| 5 | 4, 5 |\n| 6 | 7, 7, 9 |\n| 7 | 7 |" } ] }, { "id": "9746", "image": "9746.png", "conversations": [ { "from": "human", "question": "If Mitchell buys 2 pounds of sticky rice, how much will he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the sticky rice. Multiply the price per pound by the number of pounds.\n\n$3.32 × 2 = $6.64\n\nHe will spend $6.64.", "answer": "6.64", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| brown rice | $6.58 per pound |\n| sticky rice | $3.32 per pound |\n| Bhutanese red rice | $6.88 per pound |\n| African rice | $5.93 per pound |" } ] }, { "id": "9748", "image": "9748.png", "conversations": [ { "from": "human", "question": "Shane wrote down how many cups of lemonade he sold in the past 7 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n59, 85, 86, 89, 80, 71, 92\n\nFirst, arrange the numbers from least to greatest:\n\n59, 71, 80, 85, 86, 89, 92\n\nNow find the number in the middle.\n\n59, 71, 80, 85, 86, 89, 92\n\nThe number in the middle is 85.\n\nThe median is 85.", "answer": "85", "table": "**Cups of lemonade sold**\n\n| Day | Number of cups |\n| --- | --- |\n| Sunday | 59 |\n| Monday | 85 |\n| Tuesday | 86 |\n| Wednesday | 89 |\n| Thursday | 80 |\n| Friday | 71 |\n| Saturday | 92 |" } ] }, { "id": "9749", "image": "9749.png", "conversations": [ { "from": "human", "question": "For a fundraiser, the children in the art club made greeting cards and kept track of how many they produced. How many children made more than 2 greeting cards?\n" }, { "from": "gpt", "solution": "Find the rows for 3, 4, 5, and 6 greeting cards. Add the frequencies for these rows.\n\nAdd:\n\n4 + 19 + 1 + 17 = 41\n\n41 children made more than 2 greeting cards.", "answer": "41", "table": "**Making greeting cards**\n\n| Greeting cards made | Frequency |\n| --- | --- |\n| 0 | 5 |\n| 1 | 12 |\n| 2 | 3 |\n| 3 | 4 |\n| 4 | 19 |\n| 5 | 1 |\n| 6 | 17 |" } ] }, { "id": "9752", "image": "9752.png", "conversations": [ { "from": "human", "question": "How much more does a crossword puzzle book cost than a spelling workbook?\n" }, { "from": "gpt", "solution": "Subtract the price of a spelling workbook from the price of a crossword puzzle book.\n\n$23.00 - $20.00 = $3.00\n\nA crossword puzzle book costs $3.00 more than a spelling workbook.", "answer": "3", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| poetry book | $24.00 |\n| crossword puzzle book | $23.00 |\n| spelling workbook | $20.00 |\n| picture book | $22.00 |" } ] }, { "id": "9753", "image": "9753.png", "conversations": [ { "from": "human", "question": "How much more does a pair of brown pants cost than a red sweater?\n" }, { "from": "gpt", "solution": "Subtract the price of a red sweater from the price of a pair of brown pants.\n\n$17 - $11 = $6\n\nA pair of brown pants costs $6 more than a red sweater.", "answer": "6", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pair of boots | $46 |\n| black jacket | $18 |\n| pair of brown pants | $17 |\n| red sweater | $11 |" } ] }, { "id": "9755", "image": "9755.png", "conversations": [ { "from": "human", "question": "A newspaper researched how many grocery stores there are in each town. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n2, 5, 3, 4, 4, 5, 3\n\nFirst, arrange the numbers from least to greatest:\n\n2, 3, 3, 4, 4, 5, 5\n\nNow find the number in the middle.\n\n2, 3, 3, 4, 4, 5, 5\n\nThe number in the middle is 4.\n\nThe median is 4.", "answer": "4", "table": "**Grocery stores in each town**\n\n| Town | Number of stores |\n| --- | --- |\n| Richmond | 2 |\n| Watertown | 5 |\n| Ashland | 3 |\n| Chesterton | 4 |\n| Springfield | 4 |\n| Greenwood | 5 |\n| Mayfield | 3 |" } ] }, { "id": "9756", "image": "9756.png", "conversations": [ { "from": "human", "question": "For an economics project, Marcy determined the cost of ferry rides for bicycles and cars. Which charges more for a bicycle, the Ocracoke ferry or the Seattle-Bremerton ferry?\n" }, { "from": "gpt", "solution": "Find the Bicycle column. Compare the numbers in this column for Ocracoke and Seattle-Bremerton.\n\n$8.00 is more than $3.00. The Seattle-Bremerton ferry charges more for a bicycle.", "answer": "Seattle-Bremerton", "table": "**Ferry fares**\n\n| Ferry | Car | Bicycle |\n| --- | --- | --- |\n| Seattle-Bremerton | $12 | $8 |\n| Ocracoke | $15 | $3 |\n| Southport-Fort Fisher | $5 | $2 |" } ] }, { "id": "9758", "image": "9758.png", "conversations": [ { "from": "human", "question": "The gym teacher wrote down how many tennis balls his students hit in half an hour. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n72, 82, 87, 74, 79\n\nFirst, arrange the numbers from least to greatest:\n\n72, 74, 79, 82, 87\n\nNow find the number in the middle.\n\n72, 74, 79, 82, 87\n\nThe number in the middle is 79.\n\nThe median is 79.", "answer": "79", "table": "**Hitting tennis balls**\n\n| Name | Number of tennis balls |\n| --- | --- |\n| Zachary | 72 |\n| Frank | 82 |\n| Eduardo | 87 |\n| Javier | 74 |\n| Charlotte | 79 |" } ] }, { "id": "9765", "image": "9765.png", "conversations": [ { "from": "human", "question": "A reporter looked through her notebook to remember how many people she had interviewed in the past 7 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n5, 7, 5, 9, 8, 9, 9\n\nFirst, find the greatest number. The greatest number is 9.\n\nNext, find the least number. The least number is 5.\n\nSubtract the least number from the greatest number:\n\n9 − 5 = 4\n\nThe range is 4.", "answer": "4", "table": "**People interviewed**\n\n| Day | Number of people |\n| --- | --- |\n| Friday | 5 |\n| Saturday | 7 |\n| Sunday | 5 |\n| Monday | 9 |\n| Tuesday | 8 |\n| Wednesday | 9 |\n| Thursday | 9 |" } ] }, { "id": "9768", "image": "9768.png", "conversations": [ { "from": "human", "question": "Samuel counted the number of cookies eaten by each customer at last week's bake sale. How many customers ate at least 2 cookies last week?\n" }, { "from": "gpt", "solution": "Find the rows for 2, 3, 4, 5, and 6 cookies last week. Add the frequencies for these rows.\n\nAdd:\n\n3 + 18 + 17 + 1 + 8 = 47\n\n47 customers ate at least 2 cookies last week.", "answer": "47", "table": "**Eating cookies last week**\n\n| Cookies eaten | Frequency |\n| --- | --- |\n| 1 | 20 |\n| 2 | 3 |\n| 3 | 18 |\n| 4 | 17 |\n| 5 | 1 |\n| 6 | 8 |" } ] }, { "id": "9779", "image": "9779.png", "conversations": [ { "from": "human", "question": "How much money does Chloe need to buy 2 coffee tables?\n" }, { "from": "gpt", "solution": "Find the total cost of 2 coffee tables by multiplying 2 times the price of a coffee table.\n\n$112 × 2 = $224\n\nChloe needs $224.", "answer": "224", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| couch | $783 |\n| leather chair | $439 |\n| set of bunk beds | $231 |\n| chest of drawers | $186 |\n| coffee table | $112 |" } ] }, { "id": "9780", "image": "9780.png", "conversations": [ { "from": "human", "question": "Mrs. Kemp told students how many rounds to expect in the spelling bee based on previous years. According to the table, what was the rate of change between 2010 and 2011?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{14 rounds - 11 rounds}{2011 - 2010}\n = \\frac{14 rounds - 11 rounds}{1 year}\n = \\frac{3 rounds}{1 year}\n = 3 rounds per year\nThe rate of change between 2010 and 2011 was 3 rounds per year.", "answer": "3", "table": "**Rounds in the spelling bee**\n\n| Year | Rounds |\n| --- | --- |\n| 2007 | 15 |\n| 2008 | 12 |\n| 2009 | 14 |\n| 2010 | 11 |\n| 2011 | 14 |" } ] }, { "id": "9781", "image": "9781.png", "conversations": [ { "from": "human", "question": "Aaliyah has $0.46. Does she have enough to buy a lemon and a tangerine?\n" }, { "from": "gpt", "solution": "Add the price of a lemon and the price of a tangerine:\n\n$0.20 + $0.30 = $0.50\n\n$0.50 is more than $0.46. Aaliyah does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| tangerine | $0.30 |\n| cucumber | $0.96 |\n| lemon | $0.20 |\n| kiwi | $0.99 |\n| tomato | $0.56 |\n| lime | $0.12 |" } ] }, { "id": "9790", "image": "9790.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $600, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $600, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $600 | 18,000 | 11,900 |\n| $780 | 14,100 | 13,600 |\n| $960 | 10,200 | 15,300 |\n| $1,140 | 6,300 | 17,000 |\n| $1,320 | 2,400 | 18,700 |" } ] }, { "id": "9791", "image": "9791.png", "conversations": [ { "from": "human", "question": "A researcher recorded the number of cows on each farm in the county. How many farms have exactly 35 cows?\n" }, { "from": "gpt", "solution": "For the number 35, the stem is 3, and the leaf is 5. Find the row where the stem is 3. In that row, count all the leaves equal to 5.\n\nYou counted 1 leaf, which is blue in the stem-and-leaf plot above. 1 farm has exactly 35 cows.", "answer": "1", "table": "**Cows per farm**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 2, 6 |\n| 2 | 6 |\n| 3 | 5, 7 |\n| 4 | |\n| 5 | 5 |\n| 6 | 0, 7, 8 |\n| 7 | 7, 8 |" } ] }, { "id": "9797", "image": "9797.png", "conversations": [ { "from": "human", "question": "How much would it cost to buy 2+1/4 pounds of soy flour?\n" }, { "from": "gpt", "solution": "Find the cost of the soy flour. Multiply the price per pound by the number of pounds.\n$5 × 2\\frac{1}{4} = $5 × 2.25 = $11.25\nIt would cost $11.25.", "answer": "11.25", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| soy flour | $5 per lb |\n| unbleached white flour | $5 per lb |\n| peanut flour | $4 per lb |\n| whole wheat flour | $2 per lb |\n| bleached white flour | $2 per lb |" } ] }, { "id": "9811", "image": "9811.png", "conversations": [ { "from": "human", "question": "A pumpkin patch monitored the number of pumpkins sold each day. On which day did the pumpkin patch sell the most pumpkins?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 242.\n\nNow find the corresponding day. Thursday corresponds to 242.", "answer": "Thursday", "table": "**Pumpkins sold**\n\n| Day | Number of pumpkins |\n| --- | --- |\n| Thursday | 242 |\n| Friday | 221 |\n| Saturday | 218 |\n| Sunday | 241 |" } ] }, { "id": "9820", "image": "9820.png", "conversations": [ { "from": "human", "question": "Audrey purchased 2 kilograms of garbanzo beans. What was the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the garbanzo beans. Multiply the price per kilogram by the number of kilograms.\n\n$1 × 2 = $2\n\nThe total cost was $2.", "answer": "2", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| kidney beans | $0.60/kilogram |\n| garbanzo beans | $1.00/kilogram |\n| soybeans | $0.65/kilogram |\n| mung beans | $0.51/kilogram |" } ] }, { "id": "9839", "image": "9839.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which event ends at 12.45 P.M.?\n" }, { "from": "gpt", "solution": "Find 12:45 P. M. on the schedule. The soccer game ends at 12:45 P. M.", "answer": "soccer game", "table": "**School picnic schedule**\n\n| Event | Begin | End |\n| --- | --- | --- |\n| water balloon toss | 10:10 A.M. | 10:50 A.M. |\n| obstacle course | 10:50 A.M. | 11:20 A.M. |\n| lunch | 11:00 A.M. | 12:00 P.M. |\n| soccer game | 11:45 A.M. | 12:45 P.M. |\n| swimming competition | 12:35 P.M. | 1:15 P.M. |" } ] }, { "id": "9854", "image": "9854.png", "conversations": [ { "from": "human", "question": "At Sparrowtown Consulting, the head of human resources examined how the number of employees with health care benefits varied in response to policy changes. According to the table, what was the rate of change between 2008 and 2009?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{20 employees - 13 employees}{2009 - 2008}\n = \\frac{20 employees - 13 employees}{1 year}\n = \\frac{7 employees}{1 year}\n = 7 employees per year\nThe rate of change between 2008 and 2009 was 7 employees per year.", "answer": "7", "table": "**Employees with health care benefits**\n\n| Year | Employees |\n| --- | --- |\n| 2006 | 26 |\n| 2007 | 13 |\n| 2008 | 13 |\n| 2009 | 20 |\n| 2010 | 25 |" } ] }, { "id": "9864", "image": "9864.png", "conversations": [ { "from": "human", "question": "How much would it cost to buy 5 kilograms of spirali pasta and 5 kilograms of rotini pasta?\n" }, { "from": "gpt", "solution": "Find the cost of the spirali pasta. Multiply:\n\n$3.02 × 5 = $15.10\n\nFind the cost of the rotini pasta. Multiply:\n\n$1.83 × 5 = $9.15\n\nNow find the total cost by adding:\n\n$15.10 + $9.15 = $24.25\n\nIt would cost $24.25.", "answer": "24.25", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| farfalle pasta | $2.81/kilogram |\n| spirali pasta | $3.02/kilogram |\n| rotini pasta | $1.83/kilogram |\n| rigatoni pasta | $1.68/kilogram |" } ] }, { "id": "9865", "image": "9865.png", "conversations": [ { "from": "human", "question": "A law firm in Norwood kept track of how many hours were billed by each partner last year. What fraction of the hours were billed by Brianna? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many hours were billed by Brianna.\n\n970\n\nFind how many hours were billed in total.\n\n970 + 600 + 750 + 880 + 940 + 790 = 4,930\n\nDivide 970 by 4,930.\n\n\\frac{970}{4,930}\n\nReduce the fraction.\n\n\\frac{970}{4,930} → \\frac{97}{493}\n\n\\frac{97}{493} of hours were billed by Brianna.", "answer": "97/493", "table": "**Law firm hours billed**\n\n| Partner | Hours billed |\n| --- | --- |\n| Brianna | 970 |\n| Jenny | 600 |\n| Darnel | 750 |\n| Sadie | 880 |\n| Zack | 940 |\n| Kate | 790 |" } ] }, { "id": "9866", "image": "9866.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which activity ends at 12.05 P.M.?\n" }, { "from": "gpt", "solution": "Find 12:05 P. M. on the schedule. Fitness class ends at 12:05 P. M.", "answer": "fitness class", "table": "**Gym schedule**\n\n| Activity | Begin | End |\n| --- | --- | --- |\n| gymnastics | 7:50 A.M. | 8:20 A.M. |\n| line dancing | 8:25 A.M. | 9:30 A.M. |\n| yoga | 9:35 A.M. | 10:50 A.M. |\n| fitness class | 11:00 A.M. | 12:05 P.M. |\n| floor hockey | 12:20 P.M. | 1:10 P.M. |\n| badminton | 1:15 P.M. | 2:35 P.M. |\n| indoor soccer | 2:45 P.M. | 4:00 P.M. |" } ] }, { "id": "9888", "image": "9888.png", "conversations": [ { "from": "human", "question": "Deb has $1.66. Does she have enough to buy a pickle and an ice cream cone?\n" }, { "from": "gpt", "solution": "Add the price of a pickle and the price of an ice cream cone:\n\n$0.67 + $0.95 = $1.62\n\n$1.62 is less than $1.66. Deb does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| bag of peanuts | $0.79 |\n| ice cream cone | $0.95 |\n| bag of pretzels | $0.96 |\n| glass of lemonade | $0.51 |\n| pickle | $0.67 |\n| cup of coffee | $0.77 |" } ] }, { "id": "9897", "image": "9897.png", "conversations": [ { "from": "human", "question": "Andrew's P.E. class participated in a push-up competition, and Andrew wrote down how many push-ups each person could do. How many people did exactly 12 push-ups?\n" }, { "from": "gpt", "solution": "For the number 12, the stem is 1, and the leaf is 2. Find the row where the stem is 1. In that row, count all the leaves equal to 2.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 people did exactly12 push-ups.", "answer": "4", "table": "**Push-up competition (number of push-ups)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 2, 2, 2, 2, 5 |\n| 2 | |\n| 3 | 2, 9 |\n| 4 | 3 |\n| 5 | |\n| 6 | |\n| 7 | |\n| 8 | |\n| 9 | 0 |" } ] }, { "id": "9901", "image": "9901.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $900, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $900, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $720 | 22,100 | 1,600 |\n| $810 | 21,600 | 2,000 |\n| $900 | 21,100 | 2,400 |\n| $990 | 20,600 | 2,800 |\n| $1,080 | 20,100 | 3,200 |" } ] }, { "id": "9912", "image": "9912.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which event ends at 9.25 A.M.?\n" }, { "from": "gpt", "solution": "Find 9:25 A. M. on the schedule. The penguin feeding ends at 9:25 A. M.", "answer": "penguin feeding", "table": "**Zoo schedule**\n\n| Event | Begin | End |\n| --- | --- | --- |\n| penguin feeding | 8:30 A.M. | 9:25 A.M. |\n| bird show | 8:55 A.M. | 9:55 A.M. |\n| koala feeding | 9:40 A.M. | 10:40 A.M. |\n| reptile show | 12:05 P.M. | 12:45 P.M. |\n| bear lecture | 1:20 P.M. | 1:55 P.M. |\n| giraffe feeding | 1:55 P.M. | 3:00 P.M. |\n| tiger lecture | 4:15 P.M. | 5:30 P.M. |\n| zebra feeding | 5:30 P.M. | 6:20 P.M. |" } ] }, { "id": "9919", "image": "9919.png", "conversations": [ { "from": "human", "question": "A flight attendant was counting the number of passengers present to see if any upgrades could be offered. The flight attendant's list contained passengers' Frequent Flyer status as well as number of bags checked. What is the probability that a randomly selected passenger has 1 checked bag and silver status? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the passenger has 1 checked bag\" and B be the event \"the passenger has silver status\".\nTo find the probability that a passenger has 1 checked bag and silver status, first identify the sample space and the event.\nThe outcomes in the sample space are the different passengers. Each passenger is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the passenger has 1 checked bag and silver status\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the passenger has 1 checked bag and silver status\", so look at the table to see how many passengers have 1 checked bag and silver status.\nThe number of passengers who have 1 checked bag and silver status is 4.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of passengers.\n4 + 5 + 5 + 4 = 18\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{4}{18}\n = \\frac{2}{9}\nThe probability that a passenger has 1 checked bag and silver status is \\frac{2}{9}.", "answer": "2/9", "table": "| | Bronze status | Silver status |\n| --- | --- | --- |\n| 0 checked bags | 4 | 5 |\n| 1 checked bag | 5 | 4 |" } ] }, { "id": "9927", "image": "9927.png", "conversations": [ { "from": "human", "question": "A food critic counted the number of menu items at each restaurant in town. What is the smallest number of menu items?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 1.\n\nNow find the lowest leaf in the first row. The lowest leaf is 1.\n\nThe smallest number of menu items has a stem of 1 and a leaf of 1. Write the stem first, then the leaf: 11.\n\nThe smallest number of menu items is 11 menu items.", "answer": "11", "table": "**Menu items per restaurant**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1 |\n| 2 | 5 |\n| 3 | 9 |\n| 4 | |\n| 5 | 2 |\n| 6 | |\n| 7 | 7 |\n| 8 | 9 |\n| 9 | 0 |" } ] }, { "id": "9936", "image": "9936.png", "conversations": [ { "from": "human", "question": "Mrs. Callahan hosts an annual art contest for kids, and she keeps a record of the number of entries each year. According to the table, what was the rate of change between 2010 and 2011?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{15 entries - 12 entries}{2011 - 2010}\n = \\frac{15 entries - 12 entries}{1 year}\n = \\frac{3 entries}{1 year}\n = 3 entries per year\nThe rate of change between 2010 and 2011 was 3 entries per year.", "answer": "3", "table": "**Art contest entries**\n\n| Year | Number of entries |\n| --- | --- |\n| 2010 | 12 |\n| 2011 | 15 |\n| 2012 | 12 |\n| 2013 | 15 |\n| 2014 | 13 |" } ] }, { "id": "9943", "image": "9943.png", "conversations": [ { "from": "human", "question": "Whitney counted the number of problems on each of her tests. How many tests had exactly 37 problems?\n" }, { "from": "gpt", "solution": "For the number 37, the stem is 3, and the leaf is 7. Find the row where the stem is 3. In that row, count all the leaves equal to 7.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 tests had exactly 37 problems.", "answer": "2", "table": "**Problems per test**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 1, 7, 7 |\n| 4 | |\n| 5 | |\n| 6 | 1 |\n| 7 | 2 |\n| 8 | |\n| 9 | 0 |" } ] }, { "id": "9951", "image": "9951.png", "conversations": [ { "from": "human", "question": "Ken kept track of how many kilometers he walked during the past 7 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n2, 6, 7, 5, 9, 8, 6\n\nFirst, arrange the numbers from least to greatest:\n\n2, 5, 6, 6, 7, 8, 9\n\nNow find the number in the middle.\n\n2, 5, 6, 6, 7, 8, 9\n\nThe number in the middle is 6.\n\nThe median is 6.", "answer": "6", "table": "**Kilometers walked**\n\n| Day | Kilometers |\n| --- | --- |\n| Wednesday | 2 |\n| Thursday | 6 |\n| Friday | 7 |\n| Saturday | 5 |\n| Sunday | 9 |\n| Monday | 8 |\n| Tuesday | 6 |" } ] }, { "id": "9958", "image": "9958.png", "conversations": [ { "from": "human", "question": "Centerville Flooring tracked the number of broken tiles in each shipment it received last year. How many shipments had at least 19 broken tiles but less than 47 broken tiles?\n" }, { "from": "gpt", "solution": "Find the row with stem 1. Count all the leaves greater than or equal to 9.\n\nCount all the leaves in the rows with stems 2 and 3.\n\nIn the row with stem 4, count all the leaves less than 7.\n\nYou counted 14 leaves, which are blue in the stem-and-leaf plots above. 14 shipments had at least 19 broken tiles but less than 47 broken tiles.", "answer": "14", "table": "**Broken tiles per shipment**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1, 2, 4, 5, 6, 6, 6, 9 |\n| 2 | 0, 6, 7 |\n| 3 | 0, 0, 2, 4, 5, 7, 8, 9 |\n| 4 | 0, 2, 7 |" } ] }, { "id": "9960", "image": "9960.png", "conversations": [ { "from": "human", "question": "A researcher recorded the number of cows on each farm in the county. How many farms have exactly 55 cows?\n" }, { "from": "gpt", "solution": "For the number 55, the stem is 5, and the leaf is 5. Find the row where the stem is 5. In that row, count all the leaves equal to 5.\n\nYou counted 0 leaves. 0 farms have exactly 55 cows.", "answer": "0", "table": "**Cows per farm**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 2, 2 |\n| 3 | 1 |\n| 4 | 2, 3, 7 |\n| 5 | 7 |\n| 6 | 3, 5, 5, 7, 9, 9 |\n| 7 | 0, 2, 5, 5, 5, 8 |\n| 8 | 1, 6 |\n| 9 | 0 |" } ] }, { "id": "9963", "image": "9963.png", "conversations": [ { "from": "human", "question": "A bagel wholesaler examined the bagel sales of each of the retail stores that it served. How many more plain bagels than blueberry bagels did Westside Bagels sell?\n" }, { "from": "gpt", "solution": "Find the Westside Bagels row. Find the numbers in this row for plain bagels and blueberry bagels.\n\nplain bagels: 15\nblueberry bagels: 5\n\nNow subtract:\n\n15 − 5 = 10\n\nWestside Bagels sold 10 more plain bagels than blueberry bagels.", "answer": "10", "table": "**Bagel sales**\n\n| Shop | Plain bagels | Blueberry bagels |\n| --- | --- | --- |\n| Bagel Town Cafe | 16 | 14 |\n| Jimmy's Bagels | 4 | 18 |\n| Tasty Bagel | 20 | 9 |\n| Westside Bagels | 15 | 5 |\n| Bagel City | 7 | 10 |" } ] }, { "id": "9965", "image": "9965.png", "conversations": [ { "from": "human", "question": "A school administrator who was concerned about grade inflation looked over the number of straight-A students from year to year. According to the table, what was the rate of change between 2019 and 2020?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{3 students - 44 students}{2020 - 2019}\n = \\frac{3 students - 44 students}{1 year}\n = \\frac{-41 students}{1 year}\n = -41 students per year\nThe rate of change between 2019 and 2020 was - 41 students per year.", "answer": "-41", "table": "**Straight-A students**\n\n| Year | Students |\n| --- | --- |\n| 2016 | 47 |\n| 2017 | 19 |\n| 2018 | 46 |\n| 2019 | 44 |\n| 2020 | 3 |" } ] }, { "id": "9970", "image": "9970.png", "conversations": [ { "from": "human", "question": "How much money does Josie need to buy 4 packages of dental floss and 7 bottles of perfume?\n" }, { "from": "gpt", "solution": "Find the cost of 4 packages of dental floss.\n\n$1.42 × 4 = $5.68\n\nFind the cost of 7 bottles of perfume.\n\n$2.87 × 7 = $20.09\n\nNow find the total cost.\n\n$5.68 + $20.09 = $25.77\n\nJosie needs $25.77.", "answer": "25.77", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| package of dental floss | $1.42 |\n| bottle of perfume | $2.87 |\n| bottle of mouthwash | $3.19 |\n| toothbrush | $3.10 |" } ] }, { "id": "9984", "image": "9984.png", "conversations": [ { "from": "human", "question": "Each twig has 10 snails. How many snails are on 3 twigs?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 30 snails on 3 twigs.", "answer": "30", "table": "| Number of twigs | Number of snails |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | ? |" } ] }, { "id": "9985", "image": "9985.png", "conversations": [ { "from": "human", "question": "The transportation company tracked the number of train tickets sold in the past 4 days. On which day were the fewest train tickets sold?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 90.\n\nNow find the corresponding day. Monday corresponds to 90.", "answer": "Monday", "table": "**Train tickets sold**\n\n| Day | Number of tickets |\n| --- | --- |\n| Monday | 90 |\n| Tuesday | 91 |\n| Wednesday | 94 |\n| Thursday | 97 |" } ] }, { "id": "9994", "image": "9994.png", "conversations": [ { "from": "human", "question": "Each apartment has 10 doors. How many doors are in 3 apartments?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 30 doors in 3 apartments.", "answer": "30", "table": "| Number of apartments | Number of doors |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | ? |" } ] }, { "id": "9998", "image": "9998.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{8 - 15}{16 - 15}\n = \\frac{-7}{1}\n = -7\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{4 - 15}{17 - 15}\n = \\frac{-11}{2}\n = -5\\frac{1}{2}\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 15 | 15 |\n| 16 | 8 |\n| 17 | 4 |" } ] }, { "id": "9999", "image": "9999.png", "conversations": [ { "from": "human", "question": "The players on a quiz show received the following scores. Who had the lowest score?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 81.\n\nNow find the corresponding name. Colette corresponds to 81.", "answer": "Colette", "table": "**Quiz show scores**\n\n| Name | Score |\n| --- | --- |\n| Colette | 81 |\n| Vijay | 89 |\n| Keenan | 88 |\n| Stefan | 82 |" } ] }, { "id": "10003", "image": "10003.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $535, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $535, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $535 | 14,500 | 10,400 |\n| $565 | 11,800 | 12,000 |\n| $595 | 9,100 | 13,600 |\n| $625 | 6,400 | 15,200 |\n| $655 | 3,700 | 16,800 |" } ] }, { "id": "10014", "image": "10014.png", "conversations": [ { "from": "human", "question": "A pottery factory kept track of the number of broken plates per shipment last week. What is the largest number of broken plates?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 9.\n\nNow find the highest leaf in the last row. The highest leaf is 0.\n\nThe largest number of broken plates has a stem of 9 and a leaf of 0. Write the stem first, then the leaf: 90.\n\nThe largest number of broken plates is 90 broken plates.", "answer": "90", "table": "**Broken plates per shipment**\n\n| Stem | Leaf |\n| --- | --- |\n| 0 | 0, 5 |\n| 1 | 1 |\n| 2 | |\n| 3 | |\n| 4 | |\n| 5 | 6 |\n| 6 | |\n| 7 | 1, 8 |\n| 8 | |\n| 9 | 0 |" } ] }, { "id": "10018", "image": "10018.png", "conversations": [ { "from": "human", "question": "Fans of the Westminster baseball team compared the number of games won by their team each year. According to the table, what was the rate of change between 2016 and 2017?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{42 games - 33 games}{2017 - 2016}\n = \\frac{42 games - 33 games}{1 year}\n = \\frac{9 games}{1 year}\n = 9 games per year\nThe rate of change between 2016 and 2017 was 9 games per year.", "answer": "9", "table": "**Games won by the Westminster baseball team**\n\n| Year | Games won |\n| --- | --- |\n| 2013 | 34 |\n| 2014 | 42 |\n| 2015 | 42 |\n| 2016 | 33 |\n| 2017 | 42 |" } ] }, { "id": "10020", "image": "10020.png", "conversations": [ { "from": "human", "question": "Juan's Candies has been studying how much chocolate people have been eating in different countries. In 2005, how much more chocolate did Belgium consume per capita than Poland?\n" }, { "from": "gpt", "solution": "Find the 2005 column. Find the numbers in this column for Belgium and Poland.\n\nBelgium: 11\nPoland: 4\n\nNow subtract:\n\n11 − 4 = 7\n\nIn 2005, Belgium consumed 7 kilograms more chocolate per capita than Poland.", "answer": "7", "table": "**Chocolate consumption per capita (kg)**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 2002 | 2005 |\n| Poland | 3 | 4 |\n| Belgium | 8 | 11 |\n| Germany | 10 | 11 |" } ] }, { "id": "10024", "image": "10024.png", "conversations": [ { "from": "human", "question": "Mrs. Harding kept track of her students' scores on last year's final exam. What is the highest score?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 7.\n\nNow find the highest leaf in the last row. The highest leaf is 6.\n\nThe highest score has a stem of 7 and a leaf of 6. Write the stem first, then the leaf: 76.\n\nThe highest score is 76 points.", "answer": "76", "table": "**Final exam scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 1, 4, 5, 8 |\n| 4 | 6 |\n| 5 | 0, 1, 3, 6 |\n| 6 | 0, 9 |\n| 7 | 1, 6 |" } ] }, { "id": "10025", "image": "10025.png", "conversations": [ { "from": "human", "question": "A charity recorded how many donations it received each month. How many more donations did the charity receive in June than in May?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nJune: 5,264\nMay: 1,268\n\nNow subtract: 5,264 - 1,268 = 3,996.\n\nThe charity received 3,996 more donations in June.", "answer": "3,996", "table": "**Charity donations**\n\n| Month | Number of donations |\n| --- | --- |\n| March | 6,439 |\n| April | 2,880 |\n| May | 1,268 |\n| June | 5,264 |\n| July | 7,549 |" } ] }, { "id": "10034", "image": "10034.png", "conversations": [ { "from": "human", "question": "A dietitian noted the number of apples eaten by his clients last week. How many clients did not eat an apple last week?\n" }, { "from": "gpt", "solution": "Find the row for 0 apples last week and read the frequency. The frequency is 17.\n\n17 clients did not eat an apple last week.", "answer": "17", "table": "**Eating apples last week**\n\n| Apples eaten | Frequency |\n| --- | --- |\n| 0 | 17 |\n| 1 | 13 |\n| 2 | 18 |\n| 3 | 12 |\n| 4 | 0 |" } ] }, { "id": "10049", "image": "10049.png", "conversations": [ { "from": "human", "question": "Victor bought 3 kilograms of amethyst and 2 kilograms of fool's gold. How much did he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the amethyst. Multiply:\n\n$7.61 × 3 = $22.83\n\nFind the cost of the fool's gold. Multiply:\n\n$8.54 × 2 = $17.08\n\nNow find the total cost by adding:\n\n$22.83 + $17.08 = $39.91\n\nHe spent $39.91.", "answer": "39.91", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| granite | $7.04 per kg |\n| quartz | $5.35 per kg |\n| fool's gold | $8.54 per kg |\n| topaz | $7.40 per kg |\n| amethyst | $7.61 per kg |" } ] }, { "id": "10050", "image": "10050.png", "conversations": [ { "from": "human", "question": "How much money does Franklin need to buy a science-fiction book and a mystery novel?\n" }, { "from": "gpt", "solution": "Add the price of a science-fiction book and the price of a mystery novel:\n\n$1.00 + $6.00 = $7.00\n\nFranklin needs $7.00.", "answer": "7", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| science-fiction book | $1.00 |\n| coloring book | $3.00 |\n| textbook | $9.00 |\n| mystery novel | $6.00 |" } ] }, { "id": "10068", "image": "10068.png", "conversations": [ { "from": "human", "question": "The owner of an orchard kept records about how many apples were picked in the past 4 days. On which day were the most apples picked?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 73.\n\nNow find the corresponding day. Saturday corresponds to 73.", "answer": "Saturday", "table": "**Apples picked**\n\n| Day | Number of apples |\n| --- | --- |\n| Friday | 72 |\n| Saturday | 73 |\n| Sunday | 70 |\n| Monday | 71 |" } ] }, { "id": "10072", "image": "10072.png", "conversations": [ { "from": "human", "question": "The train conductor made sure to count the number of passengers on each train. How many trains had at least 25 passengers but fewer than 50 passengers?\n" }, { "from": "gpt", "solution": "Find the row with stem 2. Count all the leaves greater than or equal to 5.\n\nCount all the leaves in the rows with stems 3 and 4.\n\nYou counted 9 leaves, which are blue in the stem-and-leaf plots above. 9 trains had at least 25 passengers but fewer than 50 passengers.", "answer": "9", "table": "**Passengers per train**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 4, 8 |\n| 3 | 1, 5, 6, 7, 8 |\n| 4 | 5, 5, 9 |\n| 5 | 2, 6, 9 |\n| 6 | 6 |\n| 7 | 4, 5 |\n| 8 | 0, 2 |\n| 9 | 0 |" } ] }, { "id": "10085", "image": "10085.png", "conversations": [ { "from": "human", "question": "A bookstore employee looked up how many books were sold each month. How many more books did the bookstore sell in May than in February?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nMay: 349\nFebruary: 210\n\nNow subtract: 349 - 210 = 139.\n\nThe bookstore sold 139 more books in May.", "answer": "139", "table": "**Number of books sold**\n\n| Month | Number of books |\n| --- | --- |\n| January | 591 |\n| February | 210 |\n| March | 449 |\n| April | 796 |\n| May | 349 |" } ] }, { "id": "10090", "image": "10090.png", "conversations": [ { "from": "human", "question": "What is the total cost for 3 kilograms of pink bananas, 5 kilograms of plantains, and 5 kilograms of bananitos?\n" }, { "from": "gpt", "solution": "Find the cost of the pink bananas. Multiply:\n\n$0.90 × 3 = $2.70\n\nFind the cost of the plantains. Multiply:\n\n$0.64 × 5 = $3.20\n\nFind the cost of the bananitos. Multiply:\n\n$0.95 × 5 = $4.75\n\nNow find the total cost by adding:\n\n$2.70 + $3.20 + $4.75 = $10.65\n\nThe total cost is $10.65.", "answer": "10.65", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| bananitos | $0.95/kg |\n| Cavendish bananas | $0.53/kg |\n| plantains | $0.64/kg |\n| pink bananas | $0.90/kg |\n| yellow bananas | $1.11/kg |" } ] }, { "id": "10091", "image": "10091.png", "conversations": [ { "from": "human", "question": "Bobby looked at his e-mail outbox to see how many e-mails he sent each day. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n60, 66, 58, 61, 55\n\nFirst, count how many numbers are in the group.\n\nThere are 5 numbers.\n\nNow add all the numbers together:\n\n60 + 66 + 58 + 61 + 55 = 300\n\nNow divide the sum by the number of numbers:\n\n300 ÷ 5 = 60\n\nThe mean is 60.", "answer": "60", "table": "**E-mails sent**\n\n| Day | Number of e-mails |\n| --- | --- |\n| Saturday | 60 |\n| Sunday | 66 |\n| Monday | 58 |\n| Tuesday | 61 |\n| Wednesday | 55 |" } ] }, { "id": "10095", "image": "10095.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $260, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $260, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $260 | 7,800 | 4,100 |\n| $400 | 7,700 | 4,500 |\n| $540 | 7,600 | 4,900 |\n| $680 | 7,500 | 5,300 |\n| $820 | 7,400 | 5,700 |" } ] }, { "id": "10096", "image": "10096.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which stop does the train depart from at 2.20 P.M.?\n" }, { "from": "gpt", "solution": "Find 2:20 P. M. on the schedule. The train departs from Clarksville at 2:20 P. M.", "answer": "Clarksville", "table": "**Train schedule**\n\n| Location | Arrive | Depart |\n| --- | --- | --- |\n| Lancaster | 6:20 A.M. | 6:30 A.M. |\n| Bluepoint | 7:20 A.M. | 7:25 A.M. |\n| Westminster | 9:20 A.M. | 9:25 A.M. |\n| Brookfield | 10:40 A.M. | 10:50 A.M. |\n| Summerfield | 12:40 P.M. | 12:50 P.M. |\n| Clarksville | 2:05 P.M. | 2:20 P.M. |\n| Rockport | 4:15 P.M. | 4:30 P.M. |\n| Danville | 6:00 P.M. | 6:15 P.M. |\n| Newton | 8:15 P.M. | 8:25 P.M. |" } ] }, { "id": "10098", "image": "10098.png", "conversations": [ { "from": "human", "question": "Each train has 2 cars. How many cars are on 3 trains?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 6 cars on 3 trains.", "answer": "6", "table": "| Number of trains | Number of cars |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | ? |" } ] }, { "id": "10102", "image": "10102.png", "conversations": [ { "from": "human", "question": "The Kingwood Art Museum recorded how many finger puppets the children made at last Sunday's art workshop. How many children made more than 3 finger puppets?\n" }, { "from": "gpt", "solution": "Find the rows for 4 and 5 finger puppets. Add the frequencies for these rows.\n\nAdd:\n\n11 + 3 = 14\n\n14 children made more than 3 finger puppets.", "answer": "14", "table": "**Making finger puppets**\n\n| Finger puppets made | Frequency |\n| --- | --- |\n| 0 | 12 |\n| 1 | 16 |\n| 2 | 10 |\n| 3 | 19 |\n| 4 | 11 |\n| 5 | 3 |" } ] }, { "id": "10106", "image": "10106.png", "conversations": [ { "from": "human", "question": "To determine whether people make fewer trips to the movies when the economy is bad, a reporter asked people how many movies they saw last month. How many people went to the movies more than 1 time?\n" }, { "from": "gpt", "solution": "Find the rows for 2 and 3 times. Add the frequencies for these rows.\n\nAdd:\n\n19 + 10 = 29\n\n29 people went to the movies more than 1 time.", "answer": "29", "table": "**Trips to the movies last month**\n\n| Number of trips | Frequency |\n| --- | --- |\n| 0 | 9 |\n| 1 | 11 |\n| 2 | 19 |\n| 3 | 10 |" } ] }, { "id": "10109", "image": "10109.png", "conversations": [ { "from": "human", "question": "At a candy factory, butterscotch candies were packaged into bags of different sizes. What is the largest number of butterscotch candies?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 9.\n\nNow find the highest leaf in the last row. The highest leaf is 0.\n\nThe largest number of butterscotch candies has a stem of 9 and a leaf of 0. Write the stem first, then the leaf: 90.\n\nThe largest number of butterscotch candies is 90 butterscotch candies.", "answer": "90", "table": "**Butterscotch candies per bag**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 2, 4, 8 |\n| 2 | |\n| 3 | 0, 2, 3, 4 |\n| 4 | 6, 9 |\n| 5 | 0, 3, 4, 4, 7, 8, 8, 9, 9 |\n| 6 | 8 |\n| 7 | 1, 4 |\n| 8 | 1, 7 |\n| 9 | 0, 0 |" } ] }, { "id": "10126", "image": "10126.png", "conversations": [ { "from": "human", "question": "The financial aid office at Richmond University produced an internal report on the number of students receiving scholarships. According to the table, what was the rate of change between 2010 and 2011?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{27 students - 24 students}{2011 - 2010}\n = \\frac{27 students - 24 students}{1 year}\n = \\frac{3 students}{1 year}\n = 3 students per year\nThe rate of change between 2010 and 2011 was 3 students per year.", "answer": "3", "table": "**Students receiving scholarships**\n\n| Year | Students |\n| --- | --- |\n| 2010 | 24 |\n| 2011 | 27 |\n| 2012 | 30 |\n| 2013 | 23 |\n| 2014 | 31 |" } ] }, { "id": "10132", "image": "10132.png", "conversations": [ { "from": "human", "question": "How much money does Luca need to buy a sour apple candy and a butterscotch candy?\n" }, { "from": "gpt", "solution": "Add the price of a sour apple candy and the price of a butterscotch candy:\n\n$0.06 + $0.07 = $0.13\n\nLuca needs $0.13.", "answer": "0.13", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| sour apple candy | $0.06 |\n| piece of gum | $0.07 |\n| gummy worm | $0.09 |\n| lemon drop | $0.05 |\n| piece of licorice | $0.07 |\n| butterscotch candy | $0.07 |" } ] }, { "id": "10137", "image": "10137.png", "conversations": [ { "from": "human", "question": "Mrs. Barrett told students how many rounds to expect in the spelling bee based on previous years. According to the table, what was the rate of change between 2006 and 2007?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{6 rounds - 6 rounds}{2007 - 2006}\n = \\frac{6 rounds - 6 rounds}{1 year}\n = \\frac{0 rounds}{1 year}\n = 0 rounds per year\nThe rate of change between 2006 and 2007 was 0 rounds per year.", "answer": "0", "table": "**Rounds in the spelling bee**\n\n| Year | Rounds |\n| --- | --- |\n| 2006 | 6 |\n| 2007 | 6 |\n| 2008 | 5 |\n| 2009 | 7 |\n| 2010 | 7 |" } ] }, { "id": "10146", "image": "10146.png", "conversations": [ { "from": "human", "question": "Maddie wrote down how many pages she read over the past 4 days. On which day did Maddie read the fewest pages?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 118.\n\nNow find the corresponding day. Friday corresponds to 118.", "answer": "Friday", "table": "**Pages read**\n\n| Day | Number of pages |\n| --- | --- |\n| Friday | 118 |\n| Saturday | 138 |\n| Sunday | 131 |\n| Monday | 189 |" } ] }, { "id": "10151", "image": "10151.png", "conversations": [ { "from": "human", "question": "Each cage has 5 rabbits. How many rabbits are in 3 cages?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 15 rabbits in 3 cages.", "answer": "15", "table": "| Number of cages | Number of rabbits |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | ? |" } ] }, { "id": "10153", "image": "10153.png", "conversations": [ { "from": "human", "question": "Harold kept track of how many laps he swam during the past 5 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 8, 5, 9, 7\n\nFirst, arrange the numbers from least to greatest:\n\n5, 6, 7, 8, 9\n\nNow find the number in the middle.\n\n5, 6, 7, 8, 9\n\nThe number in the middle is 7.\n\nThe median is 7.", "answer": "7", "table": "**Laps swum**\n\n| Day | Number of laps |\n| --- | --- |\n| Tuesday | 6 |\n| Wednesday | 8 |\n| Thursday | 5 |\n| Friday | 9 |\n| Saturday | 7 |" } ] }, { "id": "10171", "image": "10171.png", "conversations": [ { "from": "human", "question": "The school district compared how many swings each elementary school has. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n19, 20, 20, 19, 9, 20, 9\n\nFirst, arrange the numbers from least to greatest:\n\n9, 9, 19, 19, 20, 20, 20\n\nNow count how many times each number appears.\n\n9 appears 2 times.\n19 appears 2 times.\n20 appears 3 times.\n\nThe number that appears most often is 20.\n\nThe mode is 20.", "answer": "20", "table": "**Swings**\n\n| School | Number of swings |\n| --- | --- |\n| Shoreline Elementary | 19 |\n| Valley Elementary | 20 |\n| Jefferson Elementary | 20 |\n| Boyd Elementary | 19 |\n| Roseville Elementary | 9 |\n| Canyon Elementary | 20 |\n| Newberry Elementary | 9 |" } ] }, { "id": "10185", "image": "10185.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Ellie just missed the 6.00 A.M. train at Hillsboro. How long does she have to wait until the next train?\n" }, { "from": "gpt", "solution": "Find 6:00 A. M. in the row for Hillsboro.\n\nLook for the next train in that row.\n\nThe next train is at 2:00 P. M.\n\nFind the elapsed time. The elapsed time is 8 hours.", "answer": "8 hours", "table": "**Train schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 |\n| --- | --- | --- | --- |\n| Hillsboro | 6:00 A.M. | 2:00 P.M. | 7:30 P.M. |\n| Newton | 7:30 A.M. | 3:30 P.M. | 9:00 P.M. |\n| Newberry | 8:15 A.M. | 4:15 P.M. | 9:45 P.M. |\n| Princeton | 10:00 A.M. | 6:00 P.M. | 11:30 P.M. |\n| Ashland | 11:30 A.M. | 7:30 P.M. | 1:00 A.M. |\n| Booneville | 12:45 P.M. | 8:45 P.M. | 2:15 A.M. |\n| Georgetown | 1:45 P.M. | 9:45 P.M. | 3:15 A.M. |" } ] }, { "id": "10189", "image": "10189.png", "conversations": [ { "from": "human", "question": "How much money does Nolan need to buy a piece of green slate and a piece of copper?\n" }, { "from": "gpt", "solution": "Add the price of a piece of green slate and the price of a piece of copper:\n\n$0.09 + $0.05 = $0.14\n\nNolan needs $0.14.", "answer": "0.14", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| piece of rose quartz | $0.07 |\n| piece of copper | $0.05 |\n| quartz crystal | $0.03 |\n| piece of black mica | $0.09 |\n| piece of black obsidian | $0.06 |\n| piece of green slate | $0.09 |" } ] }, { "id": "10193", "image": "10193.png", "conversations": [ { "from": "human", "question": "Carla kept track of how many boxes of cookies she sold over the past 4 days. On which day did Carla sell the fewest boxes?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 61.\n\nNow find the corresponding day. Thursday corresponds to 61.", "answer": "Thursday", "table": "**Boxes of cookies sold**\n\n| Day | Number of boxes |\n| --- | --- |\n| Tuesday | 68 |\n| Wednesday | 65 |\n| Thursday | 61 |\n| Friday | 69 |" } ] }, { "id": "10195", "image": "10195.png", "conversations": [ { "from": "human", "question": "At their family reunion, the Stone family recorded everyone's age. How many people are at least 38 years old?\n" }, { "from": "gpt", "solution": "Find the row with stem 3. Count all the leaves greater than or equal to 8.\n\nCount all the leaves in the rows with stems 4, 5, 6, 7, and 8.\n\nYou counted 15 leaves, which are blue in the stem-and-leaf plots above. 15 people are at least 38 years old.", "answer": "15", "table": "**Ages**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 0, 5 |\n| 4 | 3 |\n| 5 | 0, 2, 4, 7 |\n| 6 | 2, 5, 5, 8 |\n| 7 | 2, 6 |\n| 8 | 1, 2, 4, 6 |" } ] }, { "id": "10198", "image": "10198.png", "conversations": [ { "from": "human", "question": "Meg buys 3 kilograms of pecans. How much does she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the pecans. Multiply the price per kilogram by the number of kilograms.\n\n$2.77 × 3 = $8.31\n\nShe spends $8.31.", "answer": "8.31", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| hazelnuts | $1.84 per kg |\n| walnuts | $3.14 per kg |\n| peanuts | $1.88 per kg |\n| almonds | $2.85 per kg |\n| pecans | $2.77 per kg |\n| cashews | $4.51 per kg |" } ] }, { "id": "10203", "image": "10203.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Lena is at the mall. If she wants to arrive at the library at 1.15 P.M., what time should she get on the bus?\n" }, { "from": "gpt", "solution": "Look at the row for the library. Find the bus that arrives at the library at 1:15 P. M.\n\nLook up the column until you find the row for the mall.\n\nLena should get on the bus at 11:15 A. M.", "answer": "11:15 A.M.", "table": "**Bus schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 | Column 5 | Column 6 |\n| --- | --- | --- | --- | --- | --- |\n| the school | 8:00 A.M. | 9:15 A.M. | 9:30 A.M. | 10:00 A.M. | 11:00 A.M. |\n| the zoo | 9:00 A.M. | 10:15 A.M. | 10:30 A.M. | 11:00 A.M. | 12:00 P.M. |\n| the mall | 9:15 A.M. | 10:30 A.M. | 10:45 A.M. | 11:15 A.M. | 12:15 P.M. |\n| the grocery store | 9:30 A.M. | 10:45 A.M. | 11:00 A.M. | 11:30 A.M. | 12:30 P.M. |\n| the science museum | 10:30 A.M. | 11:45 A.M. | 12:00 P.M. | 12:30 P.M. | 1:30 P.M. |\n| the library | 11:15 A.M. | 12:30 P.M. | 12:45 P.M. | 1:15 P.M. | 2:15 P.M. |\n| the kickball field | 11:45 A.M. | 1:00 P.M. | 1:15 P.M. | 1:45 P.M. | 2:45 P.M. |\n| the playground | 12:45 P.M. | 2:00 P.M. | 2:15 P.M. | 2:45 P.M. | 3:45 P.M. |\n| the doctor's office | 1:15 P.M. | 2:30 P.M. | 2:45 P.M. | 3:15 P.M. | 4:15 P.M. |" } ] }, { "id": "10208", "image": "10208.png", "conversations": [ { "from": "human", "question": "Mrs. Casey, the biology teacher, asked her students how many times they went to the science museum last year. How many students went to the science museum exactly once last year?\n" }, { "from": "gpt", "solution": "Find the row for 1 time and read the frequency. The frequency is 18.\n\n18 students went to the science museum exactly once last year.", "answer": "18", "table": "**Trips to the science museum last year**\n\n| Number of trips | Frequency |\n| --- | --- |\n| 0 | 10 |\n| 1 | 18 |\n| 2 | 19 |\n| 3 | 0 |" } ] }, { "id": "10209", "image": "10209.png", "conversations": [ { "from": "human", "question": "Each package has 2 juice boxes. How many juice boxes are in 6 packages?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 12 juice boxes in 6 packages.", "answer": "12", "table": "| Number of packages | Number of juice boxes |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | 6 |\n| 4 | 8 |\n| 5 | 10 |\n| 6 | ? |" } ] }, { "id": "10221", "image": "10221.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. At which stop does the train arrive at 1.50 P.M.?\n" }, { "from": "gpt", "solution": "Find 1:50 P. M. on the schedule. The train arrives at Oak Avenue at 1:50 P. M.", "answer": "Oak Avenue", "table": "**Subway train schedule**\n\n| Location | Time |\n| --- | --- |\n| Highland Street | 10:15 A.M. |\n| Spring Avenue | 11:00 A.M. |\n| Jefferson Boulevard | 11:45 A.M. |\n| Cherry Street | 12:30 P.M. |\n| Hill Street | 1:00 P.M. |\n| Oak Avenue | 1:50 P.M. |\n| River Road | 2:40 P.M. |" } ] }, { "id": "10222", "image": "10222.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{9 - 5}{2 - 1}\n = \\frac{4}{1}\n = 4\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{13 - 9}{3 - 2}\n = \\frac{4}{1}\n = 4\nThe two rates of change are the same.\nIf you checked the rate of change between rows 1 and 3, you would find that it is also 4.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 1 | 5 |\n| 2 | 9 |\n| 3 | 13 |" } ] }, { "id": "10235", "image": "10235.png", "conversations": [ { "from": "human", "question": "This is Finn's complete financial record for November. How much money did Finn have after he bought chips and salsa?\n" }, { "from": "gpt", "solution": "Look at the chips and salsa row. The available funds were $265.10. So, Finn had $265.10 after he bought chips and salsa.\n", "answer": "265.10", "table": "| Date | Description | Received | Expenses | Available Funds |\n| --- | --- | --- | --- | --- |\n| | Balance: end of October | | | $271.40 |\n| 11/4 | chips and salsa | | $6.30 | $265.10 |\n| 11/20 | box of markers | | $4.95 | $260.15 |\n| 11/22 | garage sale | $48.00 | | $308.15 |" } ] }, { "id": "10239", "image": "10239.png", "conversations": [ { "from": "human", "question": "Some travelers in an airport compared how far they had flown that day. Who flew the shortest distance?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 557.\n\nNow find the corresponding name. Samir corresponds to 557.", "answer": "Samir", "table": "**Length of airplane flights**\n\n| Name | Miles |\n| --- | --- |\n| Latrell | 579 |\n| Naomi | 597 |\n| Samir | 557 |\n| Jada | 595 |" } ] }, { "id": "10240", "image": "10240.png", "conversations": [ { "from": "human", "question": "For an economics project, Kate determined the cost of ferry rides for bicycles and cars. Of the ferries shown, which charges the least for a bicycle?\n" }, { "from": "gpt", "solution": "Look at the numbers in the Bicycle column. Find the least number in this column.\n\nThe least number is $2.00, which is in the Southport-Fort Fisher row. The Southport-Fort Fisher ferry charges the least for a bicycle.", "answer": "Southport-Fort Fisher", "table": "**Ferry fares**\n\n| Ferry | Bicycle | Car |\n| --- | --- | --- |\n| Seattle-Bremerton | $8 | $12 |\n| Southport-Fort Fisher | $2 | $5 |\n| Fauntleroy-Vashon | $5 | $15 |\n| Mukilteu-Clinton | $5 | $7 |\n| Ocracoke | $3 | $15 |" } ] }, { "id": "10251", "image": "10251.png", "conversations": [ { "from": "human", "question": "The manager of a party supply store researched how many balloons it sold in the past 7 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 5, 5, 10, 4, 9, 8\n\nFirst, arrange the numbers from least to greatest:\n\n4, 5, 5, 8, 9, 9, 10\n\nNow find the number in the middle.\n\n4, 5, 5, 8, 9, 9, 10\n\nThe number in the middle is 8.\n\nThe median is 8.", "answer": "8", "table": "**Balloons sold**\n\n| Day | Number of balloons |\n| --- | --- |\n| Thursday | 9 |\n| Friday | 5 |\n| Saturday | 5 |\n| Sunday | 10 |\n| Monday | 4 |\n| Tuesday | 9 |\n| Wednesday | 8 |" } ] }, { "id": "10253", "image": "10253.png", "conversations": [ { "from": "human", "question": "Some students compared how many pets they have. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n2, 4, 8, 6, 3, 7\n\nFirst, find the greatest number. The greatest number is 8.\n\nNext, find the least number. The least number is 2.\n\nSubtract the least number from the greatest number:\n\n8 − 2 = 6\n\nThe range is 6.", "answer": "6", "table": "**Pets**\n\n| Name | Number of pets |\n| --- | --- |\n| Christine | 2 |\n| Eli | 4 |\n| Nora | 8 |\n| Kyle | 6 |\n| Hanson | 3 |\n| Aisha | 7 |" } ] }, { "id": "10256", "image": "10256.png", "conversations": [ { "from": "human", "question": "What is the total cost for 1+7/10 pounds of navel oranges?\n" }, { "from": "gpt", "solution": "Find the cost of the navel oranges. Multiply the price per pound by the number of pounds.\n$3 × 1\\frac{7}{10} = $3 × 1.7 = $5.10\nThe total cost is $5.10.", "answer": "5.10", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| navel oranges | $3/pound |\n| Persian oranges | $2/pound |\n| pomelos | $2/pound |\n| blood oranges | $4/pound |\n| Valencia oranges | $4/pound |\n| tangerines | $4/pound |" } ] }, { "id": "10257", "image": "10257.png", "conversations": [ { "from": "human", "question": "Henry has $93. Does he have enough to buy a cell phone and a DVD?\n" }, { "from": "gpt", "solution": "Add the price of a cell phone and the price of a DVD:\n\n$74 + $17 = $91\n\n$91 is less than $93. Henry does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| computer keyboard | $33 |\n| blender | $26 |\n| DVD | $17 |\n| radio | $20 |\n| cell phone | $74 |" } ] }, { "id": "10262", "image": "10262.png", "conversations": [ { "from": "human", "question": "Gardeners at the Henderson estate counted the number of flowers growing there. How many orange flowers are in the garden?\n" }, { "from": "gpt", "solution": "Find the row for orange. Add the numbers in the Orange row.\n\nAdd:\n\n3 + 3 = 6\n\nThere are 6 orange flowers in the garden.", "answer": "6", "table": "**Flower garden**\n\n| Color | Roses | Daisies |\n| --- | --- | --- |\n| Pink | 16 | 9 |\n| Orange | 3 | 3 |\n| White | 6 | 5 |\n| Yellow | 1 | 7 |" } ] }, { "id": "10264", "image": "10264.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $60, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $60, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $60 | 20,000 | 2,800 |\n| $100 | 16,600 | 6,000 |\n| $140 | 13,200 | 9,200 |\n| $180 | 9,800 | 12,400 |\n| $220 | 6,400 | 15,600 |" } ] }, { "id": "10273", "image": "10273.png", "conversations": [ { "from": "human", "question": "An administrator at the Department of Motor Vehicles (DMV) tracked the average wait time from month to month. According to the table, what was the rate of change between June and July?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{29 minutes - 36 minutes}{1 month}\n = \\frac{-7 minutes}{1 month}\n = -7 minutes per month\nThe rate of change between June and July was - 7 minutes per month.", "answer": "-7", "table": "**Average waiting time at the DMV**\n\n| Month | Waiting time (minutes) |\n| --- | --- |\n| March | 29 |\n| April | 33 |\n| May | 33 |\n| June | 36 |\n| July | 29 |" } ] }, { "id": "10275", "image": "10275.png", "conversations": [ { "from": "human", "question": "Reagan wrote down how many glasses of water she drank during the past 6 days. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 3, 8, 5, 7, 7\n\nFirst, count how many numbers are in the group.\n\nThere are 6 numbers.\n\nNow add all the numbers together:\n\n6 + 3 + 8 + 5 + 7 + 7 = 36\n\nNow divide the sum by the number of numbers:\n\n36 ÷ 6 = 6\n\nThe mean is 6.", "answer": "6", "table": "**Glasses of water**\n\n| Day | Number of glasses |\n| --- | --- |\n| Sunday | 6 |\n| Monday | 3 |\n| Tuesday | 8 |\n| Wednesday | 5 |\n| Thursday | 7 |\n| Friday | 7 |" } ] }, { "id": "10279", "image": "10279.png", "conversations": [ { "from": "human", "question": "Some students compared how many pets they have. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 4, 6, 6, 4\n\nFirst, arrange the numbers from least to greatest:\n\n4, 4, 6, 6, 6\n\nNow count how many times each number appears.\n\n4 appears 2 times.\n6 appears 3 times.\n\nThe number that appears most often is 6.\n\nThe mode is 6.", "answer": "6", "table": "**Pets**\n\n| Name | Number of pets |\n| --- | --- |\n| Edna | 6 |\n| Shelley | 4 |\n| Isaiah | 6 |\n| Kari | 6 |\n| Dale | 4 |" } ] }, { "id": "10282", "image": "10282.png", "conversations": [ { "from": "human", "question": "Lola wrote down how many minutes of TV she watched over the past 4 days. On which day did Lola watch the most TV?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 69.\n\nNow find the corresponding day. Friday corresponds to 69.", "answer": "Friday", "table": "**Minutes of TV watched**\n\n| Day | Minutes |\n| --- | --- |\n| Tuesday | 60 |\n| Wednesday | 68 |\n| Thursday | 64 |\n| Friday | 69 |" } ] }, { "id": "10289", "image": "10289.png", "conversations": [ { "from": "human", "question": "Each plant has 5 tomatoes. How many tomatoes are on 3 plants?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 15 tomatoes on 3 plants.", "answer": "15", "table": "| Number of plants | Number of tomatoes |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | ? |" } ] }, { "id": "10290", "image": "10290.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $710, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $710, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $650 | 19,600 | 3,200 |\n| $670 | 16,100 | 7,200 |\n| $690 | 12,600 | 11,200 |\n| $710 | 9,100 | 15,200 |\n| $730 | 5,600 | 19,200 |" } ] }, { "id": "10293", "image": "10293.png", "conversations": [ { "from": "human", "question": "The players on a quiz show received the following scores. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n1, 3, 1, 3, 4, 1, 6, 6\n\nFirst, arrange the numbers from least to greatest:\n\n1, 1, 1, 3, 3, 4, 6, 6\n\nNow count how many times each number appears.\n\n1 appears 3 times.\n3 appears 2 times.\n4 appears 1 time.\n6 appears 2 times.\n\nThe number that appears most often is 1.\n\nThe mode is 1.", "answer": "1", "table": "**Quiz show scores**\n\n| Name | Score |\n| --- | --- |\n| Oscar | 1 |\n| Colin | 3 |\n| Lindsey | 1 |\n| Mona | 3 |\n| Brian | 4 |\n| Tom | 1 |\n| Reagan | 6 |\n| Avery | 6 |" } ] }, { "id": "10307", "image": "10307.png", "conversations": [ { "from": "human", "question": "In trying to calculate how much money could be saved by packing lunch, Sofia recorded the amount she spent on lunch each day. According to the table, what was the rate of change between Friday and Saturday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{$8 - $8}{1 day}\n = \\frac{$0}{1 day}\n = $0 perday\nThe rate of change between Friday and Saturday was $0 perday.", "answer": "0", "table": "**Amount Sofia spent on lunch**\n\n| Day | Amount spent |\n| --- | --- |\n| Tuesday | $4 |\n| Wednesday | $5 |\n| Thursday | $10 |\n| Friday | $8 |\n| Saturday | $8 |" } ] }, { "id": "10314", "image": "10314.png", "conversations": [ { "from": "human", "question": "The teachers at a middle school counted how many computers they had in their classrooms. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n5, 5, 1, 8, 4, 1, 2, 6\n\nFirst, count how many numbers are in the group.\n\nThere are 8 numbers.\n\nNow add all the numbers together:\n\n5 + 5 + 1 + 8 + 4 + 1 + 2 + 6 = 32\n\nNow divide the sum by the number of numbers:\n\n32 ÷ 8 = 4\n\nThe mean is 4.", "answer": "4", "table": "**Computers in classrooms**\n\n| Teacher | Number of computers |\n| --- | --- |\n| Mrs. Rossi | 5 |\n| Ms. Rojas | 5 |\n| Mr. Lim | 1 |\n| Ms. Cohen | 8 |\n| Miss Murphy | 4 |\n| Mrs. Jansen | 1 |\n| Mr. Schmidt | 2 |\n| Mr. Morales | 6 |" } ] }, { "id": "10320", "image": "10320.png", "conversations": [ { "from": "human", "question": "During a lesson on graphing data, students in Mrs. Jayce's math class guessed a number between 1 and 5 and recorded the results. How many students are there in all?\n" }, { "from": "gpt", "solution": "Add the frequencies for each row.\n\nAdd:\n\n11 + 16 + 7 + 20 + 5 = 59\n\nThere are 59 students in all.", "answer": "59", "table": "**Guessing a number between 1 and 5**\n\n| Number guessed | Frequency |\n| --- | --- |\n| 1 | 11 |\n| 2 | 16 |\n| 3 | 7 |\n| 4 | 20 |\n| 5 | 5 |" } ] }, { "id": "10322", "image": "10322.png", "conversations": [ { "from": "human", "question": "Each pizza place has 2 chefs. How many chefs are in 3 pizza places?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 6 chefs in 3 pizza places.", "answer": "6", "table": "| Number of pizza places | Number of chefs |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | ? |" } ] }, { "id": "10326", "image": "10326.png", "conversations": [ { "from": "human", "question": "How much money does Donald need to buy a barbecue grill and a leaf blower?\n" }, { "from": "gpt", "solution": "Add the price of a barbecue grill and the price of a leaf blower:\n\n$776.00 + $460.00 = $1,236.00\n\nDonald needs $1,236.00.", "answer": "1,236", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| barbecue grill | $776.00 |\n| swing set | $868.00 |\n| leaf blower | $460.00 |\n| iron bench | $368.00 |" } ] }, { "id": "10327", "image": "10327.png", "conversations": [ { "from": "human", "question": "David is a sandwich maker at a local deli. Last week, he tracked the number of peanut butter and jelly sandwiches ordered, noting the flavor of jelly and type of peanut butter requested. What is the probability that a randomly selected sandwich was made with grape jelly and creamy peanut butter? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the sandwich was made with grape jelly\" and B be the event \"the sandwich was made with creamy peanut butter\".\nTo find the probability that a sandwich was made with grape jelly and creamy peanut butter, first identify the sample space and the event.\nThe outcomes in the sample space are the different sandwiches. Each sandwich is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the sandwich was made with grape jelly and creamy peanut butter\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the sandwich was made with grape jelly and creamy peanut butter\", so look at the table to see how many sandwiches were made with grape jelly and creamy peanut butter.\nThe number of sandwiches that were made with grape jelly and creamy peanut butter is 3.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of sandwiches.\n2 + 3 + 4 + 5 = 14\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{3}{14}\nThe probability that a sandwich was made with grape jelly and creamy peanut butter is \\frac{3}{14}.", "answer": "3/14", "table": "| | Creamy peanut butter | Chunky peanut butter |\n| --- | --- | --- |\n| Strawberry jelly | 2 | 4 |\n| Grape jelly | 3 | 5 |" } ] }, { "id": "10332", "image": "10332.png", "conversations": [ { "from": "human", "question": "How much money does Martha need to buy a book about Australia and a book about dinosaurs?\n" }, { "from": "gpt", "solution": "Add the price of a book about Australia and the price of a book about dinosaurs:\n\n$15 + $24 = $39\n\nMartha needs $39.", "answer": "39", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| book about Australia | $15 |\n| book about art | $25 |\n| book about basketball | $12 |\n| book about ballet | $13 |\n| book about dinosaurs | $24 |\n| book about fish | $15 |" } ] }, { "id": "10337", "image": "10337.png", "conversations": [ { "from": "human", "question": "How much money does Christine need to buy a cookbook, a dog calendar, and a coloring book?\n" }, { "from": "gpt", "solution": "Find the total cost of a cookbook, a dog calendar, and a coloring book.\n\n$8 + $4 + $2 = $14\n\nChristine needs $14.", "answer": "14", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| mystery novel | $7 |\n| coloring book | $2 |\n| cookbook | $8 |\n| airplane calendar | $7 |\n| dog calendar | $4 |\n| book of brainteasers | $7 |" } ] }, { "id": "10339", "image": "10339.png", "conversations": [ { "from": "human", "question": "Several families compared how many vegetables they ate in a year. Which family ate the fewest vegetables?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 548.\n\nNow find the corresponding family. Pariseau family corresponds to 548.", "answer": "Pariseau family", "table": "**Vegetables eaten in a year**\n\n| Family | Number of vegetables eaten |\n| --- | --- |\n| Yumol family | 585 |\n| Fernandez family | 584 |\n| Pariseau family | 548 |\n| Wensing family | 554 |" } ] }, { "id": "10340", "image": "10340.png", "conversations": [ { "from": "human", "question": "Use the data to answer the question below. Is the following statement about our solar system true or false? Neptune's volume is more than 50 times as great as that of Earth.\n" }, { "from": "gpt", "solution": "To determine if this statement is true, calculate the value of 50 times the volume of Earth.\n\n50 · 1,090 billion km^3 = 54,500 billion km^3\n\nThen compare the result to the volume of Neptune. The volume of Neptune is 62,530 billion km^3, which is more than 54,500 billion km^3. So, Neptune's volume is more than 50 times as great as that of Earth.", "answer": "true", "table": "**Planet Volume (billions of km3) Primary composition**\n\n| Column 1 | Column 2 |\n| --- | --- |\n| Mercury | 60 rock |\n| Venus | 930 rock |\n| Earth | 1,090 rock |\n| Mars | 160 rock |\n| Jupiter | 1,431,280 gas |\n| Saturn | 827,130 gas |\n| Uranus | 68,330 ice |\n| Neptune | 62,530 ice |" } ] }, { "id": "10342", "image": "10342.png", "conversations": [ { "from": "human", "question": "A gymnast jotted down the number of cartwheels she did each day. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n3, 5, 2, 2, 3, 2, 5\n\nFirst, arrange the numbers from least to greatest:\n\n2, 2, 2, 3, 3, 5, 5\n\nNow count how many times each number appears.\n\n2 appears 3 times.\n3 appears 2 times.\n5 appears 2 times.\n\nThe number that appears most often is 2.\n\nThe mode is 2.", "answer": "2", "table": "**Doing cartwheels**\n\n| Day | Number of cartwheels |\n| --- | --- |\n| Thursday | 3 |\n| Friday | 5 |\n| Saturday | 2 |\n| Sunday | 2 |\n| Monday | 3 |\n| Tuesday | 2 |\n| Wednesday | 5 |" } ] }, { "id": "10345", "image": "10345.png", "conversations": [ { "from": "human", "question": "The Princeton Public Library serves a diverse community and has a foreign language section catering to non-English speakers. What fraction of foreign language books are in Chinese? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many foreign language books are in Chinese.\n\n790\n\nFind how many foreign language books there are in total.\n\n330 + 370 + 600 + 790 + 380 + 760 = 3,230\n\nDivide 790 by 3,230.\n\n\\frac{790}{3,230}\n\nReduce the fraction.\n\n\\frac{790}{3,230} → \\frac{79}{323}\n\n\\frac{79}{323} of foreign language books are in Chinese.", "answer": "79/323", "table": "**Foreign language books**\n\n| Language | Number of books |\n| --- | --- |\n| Japanese | 330 |\n| Vietnamese | 370 |\n| Russian | 600 |\n| Chinese | 790 |\n| Arabic | 380 |\n| Hindi | 760 |" } ] }, { "id": "10346", "image": "10346.png", "conversations": [ { "from": "human", "question": "Lillian paid attention to how many flowers she planted in the garden during the past 7 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 10, 5, 7, 8, 8, 7\n\nFirst, find the greatest number. The greatest number is 10.\n\nNext, find the least number. The least number is 5.\n\nSubtract the least number from the greatest number:\n\n10 − 5 = 5\n\nThe range is 5.", "answer": "5", "table": "**Flowers plants**\n\n| Day | Number of flowers |\n| --- | --- |\n| Friday | 6 |\n| Saturday | 10 |\n| Sunday | 5 |\n| Monday | 7 |\n| Tuesday | 8 |\n| Wednesday | 8 |\n| Thursday | 7 |" } ] }, { "id": "10348", "image": "10348.png", "conversations": [ { "from": "human", "question": "Each bunch has 5 balloons. How many balloons are in 5 bunches?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 25 balloons in 5 bunches.", "answer": "25", "table": "| Number of bunches | Number of balloons |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | 20 |\n| 5 | ? |" } ] }, { "id": "10350", "image": "10350.png", "conversations": [ { "from": "human", "question": "A pottery factory kept track of the number of broken plates per shipment last week. How many shipments had less than 68 broken plates?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 4 and 5.\n\nIn the row with stem 6, count all the leaves less than 8.\n\nYou counted 14 leaves, which are blue in the stem-and-leaf plots above. 14 shipments had less than 68 broken plates.", "answer": "14", "table": "**Broken plates per shipment**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 3, 3, 4, 5, 5, 6, 8, 9 |\n| 5 | 1, 1, 4, 7 |\n| 6 | 3, 3, 8 |\n| 7 | 3, 9 |\n| 8 | 2, 3, 6, 7, 8, 8 |" } ] }, { "id": "10351", "image": "10351.png", "conversations": [ { "from": "human", "question": "A transportation analyst compared various bridges' tolls. How much higher is the toll for a car on the George Washington bridge than on the Golden Gate bridge?\n" }, { "from": "gpt", "solution": "Find the Car column. Find the numbers in this column for George Washington and Golden Gate.\n\nGeorge Washington: $8.00\nGolden Gate: $6.00\n\nNow subtract:\n\n$8.00 − $6.00 = $2.00\n\nThe toll for a car is $2 more on the George Washington bridge than on the Golden Gate bridge.", "answer": "2", "table": "**Bridge tolls**\n\n| Bridge | Truck | Car |\n| --- | --- | --- |\n| Tacoma Narrows | $4 | $3 |\n| Oakland Bay | $6 | $4 |\n| Golden Gate | $7 | $6 |\n| George Washington | $16 | $8 |" } ] }, { "id": "10353", "image": "10353.png", "conversations": [ { "from": "human", "question": "A girl compared the ages of her cousins. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n10, 9, 9, 4, 1\n\nFirst, find the greatest number. The greatest number is 10.\n\nNext, find the least number. The least number is 1.\n\nSubtract the least number from the greatest number:\n\n10 − 1 = 9\n\nThe range is 9.", "answer": "9", "table": "**Ages of cousins**\n\n| Name | Age (years) |\n| --- | --- |\n| Duncan | 10 |\n| Mandy | 9 |\n| Belle | 9 |\n| Christina | 4 |\n| Kamal | 1 |" } ] }, { "id": "10356", "image": "10356.png", "conversations": [ { "from": "human", "question": "In a recent election at Sweeney University, three people ran for student body president. What fraction of votes were for Dylan? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many votes were for Dylan.\n\n290\n\nFind how many votes there were in total.\n\n320 + 960 + 290 = 1,570\n\nDivide 290 by1,570.\n\n\\frac{290}{1,570}\n\nReduce the fraction.\n\n\\frac{290}{1,570} → \\frac{29}{157}\n\n\\frac{29}{157} of votes were for Dylan.", "answer": "29/157", "table": "**Election results**\n\n| Candidate | Votes |\n| --- | --- |\n| Dirk | 320 |\n| Vivian | 960 |\n| Dylan | 290 |" } ] }, { "id": "10358", "image": "10358.png", "conversations": [ { "from": "human", "question": "Jackie, a soup chef at a new restaurant, kept track of the first week's soup sales. What is the probability that a randomly selected soup was split pea and was ordered in a cup? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the soup was split pea\" and B be the event \"the soup was ordered in a cup\".\nTo find the probability that a soup was split pea and was ordered in a cup, first identify the sample space and the event.\nThe outcomes in the sample space are the different soups. Each soup is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the soup was split pea and was ordered in a cup\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the soup was split pea and was ordered in a cup\", so look at the table to see how many soups were split pea and were ordered in a cup.\nThe number of soups that were split pea and were ordered in a cup is 4.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of soups.\n4 + 7 + 3 + 3 = 17\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{4}{17}\nThe probability that a soup was split pea and was ordered in a cup is \\frac{4}{17}.", "answer": "4/17", "table": "| | Cup | Bowl |\n| --- | --- | --- |\n| Split pea | 4 | 3 |\n| Chicken noodle | 7 | 3 |" } ] }, { "id": "10362", "image": "10362.png", "conversations": [ { "from": "human", "question": "An office manager counts the number of letters sent by each of her company's employees each week. How many employees mailed fewer than 2 letters?\n" }, { "from": "gpt", "solution": "Find the rows for 0 and 1 letter. Add the frequencies for these rows.\n\nAdd:\n\n13 + 0 = 13\n\n13 employees mailed fewer than 2 letters.", "answer": "13", "table": "**Mailing letters last week**\n\n| Letters mailed | Frequency |\n| --- | --- |\n| 0 | 13 |\n| 1 | 0 |\n| 2 | 10 |\n| 3 | 16 |\n| 4 | 7 |" } ] }, { "id": "10363", "image": "10363.png", "conversations": [ { "from": "human", "question": "Each bag has 5 yellow buttons. How many yellow buttons are in 4 bags?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 20 yellow buttons in 4 bags.", "answer": "20", "table": "| Number of bags | Number of yellow buttons |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | ? |" } ] }, { "id": "10368", "image": "10368.png", "conversations": [ { "from": "human", "question": "Lexi has $1,574. Does she have enough to buy a telescope and a centrifuge?\n" }, { "from": "gpt", "solution": "Add the price of a telescope and the price of a centrifuge:\n\n$584 + $937 = $1,521\n\n$1,521 is less than $1,574. Lexi does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| autoclave | $687 |\n| case of beakers | $305 |\n| telescope | $584 |\n| centrifuge | $937 |\n| laboratory freezer | $969 |" } ] }, { "id": "10374", "image": "10374.png", "conversations": [ { "from": "human", "question": "How much money does Jake need to buy eggplant parmesan and a grilled steak?\n" }, { "from": "gpt", "solution": "Add the price of eggplant parmesan and the price of a grilled steak:\n\n$16.73 + $15.77 = $32.50\n\nJake needs $32.50.", "answer": "32.50", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| grilled eggplant | $10.38 |\n| eggplant parmesan | $16.73 |\n| cheese pizza | $11.68 |\n| grilled steak | $15.77 |\n| ravioli | $11.09 |" } ] }, { "id": "10380", "image": "10380.png", "conversations": [ { "from": "human", "question": "While looking through an almanac at the library, Bryant noticed some data showing the population density of various states. How many more people per square mile lived in New Mexico in 2000 than in 1990?\n" }, { "from": "gpt", "solution": "Find the New Mexico row. Find the numbers in this row for 2000 and 1990.\n\n2000: 15\n1990: 12\n\nNow subtract:\n\n15 − 12 = 3\n\n3 more people per square mile lived in New Mexico in 2000 than in 1990.", "answer": "3", "table": "**Population per square mile**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| State | 1990 | 2000 |\n| New Mexico | 12 | 15 |\n| Wyoming | 4 | 5 |\n| Idaho | 12 | 15 |\n| Nevada | 10 | 18 |\n| South Dakota | 9 | 10 |" } ] }, { "id": "10384", "image": "10384.png", "conversations": [ { "from": "human", "question": "How much money does Reagan need to buy a fountain and a red clay pot?\n" }, { "from": "gpt", "solution": "Add the price of a fountain and the price of a red clay pot:\n\n$50.34 + $43.78 = $94.12\n\nReagan needs $94.12.", "answer": "94.12", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| red clay pot | $43.78 |\n| fountain | $50.34 |\n| picnic table | $46.56 |\n| hammock | $61.94 |" } ] }, { "id": "10388", "image": "10388.png", "conversations": [ { "from": "human", "question": "Maureen purchased 3+9/10 kilograms of Swiss. What was the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the Swiss. Multiply the price per kilogram by the number of kilograms.\n$2 × 3\\frac{9}{10} = $2 × 3.9 = $7.80\nThe total cost was $7.80.", "answer": "7.80", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| Swiss | $2 per kg |\n| gorgonzola | $4 per kg |\n| cheddar | $2 per kg |\n| ricotta | $4 per kg |\n| American cheese | $2 per kg |\n| Parmesan | $2 per kg |" } ] }, { "id": "10389", "image": "10389.png", "conversations": [ { "from": "human", "question": "How much money does Monica need to buy a bookcase and a chest of drawers?\n" }, { "from": "gpt", "solution": "Add the price of a bookcase and the price of a chest of drawers:\n\n$94 + $53 = $147\n\nMonica needs $147.", "answer": "147", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| coffee table | $50 |\n| chest of drawers | $53 |\n| bookcase | $94 |\n| nightstand | $91 |" } ] }, { "id": "10395", "image": "10395.png", "conversations": [ { "from": "human", "question": "Karen's class recorded how many cans of food each student collected for their canned food drive. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n4, 5, 5, 7, 8, 9, 4\n\nFirst, count how many numbers are in the group.\n\nThere are 7 numbers.\n\nNow add all the numbers together:\n\n4 + 5 + 5 + 7 + 8 + 9 + 4 = 42\n\nNow divide the sum by the number of numbers:\n\n42 ÷ 7 = 6\n\nThe mean is 6.", "answer": "6", "table": "**Cans of food collected**\n\n| Name | Number of cans of food |\n| --- | --- |\n| Karen | 4 |\n| Alexis | 5 |\n| Darren | 5 |\n| Joy | 7 |\n| Isaac | 8 |\n| Carla | 9 |\n| Billy | 4 |" } ] }, { "id": "10398", "image": "10398.png", "conversations": [ { "from": "human", "question": "Some students compared how many clubs they belong to. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n4, 3, 4, 8, 10, 9, 7\n\nFirst, find the greatest number. The greatest number is 10.\n\nNext, find the least number. The least number is 3.\n\nSubtract the least number from the greatest number:\n\n10 − 3 = 7\n\nThe range is 7.", "answer": "7", "table": "**Clubs**\n\n| Name | Number of clubs |\n| --- | --- |\n| Emily | 4 |\n| Dale | 3 |\n| Gabriel | 4 |\n| Toby | 8 |\n| Zane | 10 |\n| Julie | 9 |\n| Ruben | 7 |" } ] }, { "id": "10402", "image": "10402.png", "conversations": [ { "from": "human", "question": "How much money does Hannah need to buy a baking dish and a cookie jar?\n" }, { "from": "gpt", "solution": "Add the price of a baking dish and the price of a cookie jar:\n\n$10 + $13 = $23\n\nHannah needs $23.", "answer": "23", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| frying pan | $48 |\n| baking dish | $10 |\n| casserole dish | $13 |\n| cookie jar | $13 |\n| rolling pin | $15 |" } ] }, { "id": "10406", "image": "10406.png", "conversations": [ { "from": "human", "question": "Each gym locker has 5 T-shirts. How many T-shirts are in 4 gym lockers?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 20 T-shirts in 4 gym lockers.", "answer": "20", "table": "| Number of gym lockers | Number of T-shirts |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | ? |" } ] }, { "id": "10411", "image": "10411.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does the train depart from Spring Boulevard?\n" }, { "from": "gpt", "solution": "Find Spring Boulevard on the schedule. Find the departure time for Spring Boulevard.\n\nSpring Boulevard: 1:45 P. M.", "answer": "1:45 P.M.", "table": "**Subway train schedule**\n\n| Location | Time |\n| --- | --- |\n| Park Road | 10:20 A.M. |\n| Central Boulevard | 10:50 A.M. |\n| Williams Street | 11:25 A.M. |\n| Church Street | 11:50 A.M. |\n| Sunset Boulevard | 12:40 P.M. |\n| Ridge Street | 1:30 P.M. |\n| Spring Boulevard | 1:45 P.M. |\n| Jefferson Street | 2:30 P.M. |" } ] }, { "id": "10414", "image": "10414.png", "conversations": [ { "from": "human", "question": "A machine dispensed red gumdrops into bags of various sizes. How many bags had exactly 76 red gumdrops?\n" }, { "from": "gpt", "solution": "For the number 76, the stem is 7, and the leaf is 6. Find the row where the stem is 7. In that row, count all the leaves equal to 6.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 bags had exactly 76 red gumdrops.", "answer": "3", "table": "**Red gumdrops per bag**\n\n| Stem | Leaf |\n| --- | --- |\n| 5 | 0, 7 |\n| 6 | 1 |\n| 7 | 5, 6, 6, 6 |\n| 8 | |\n| 9 | 0 |" } ] }, { "id": "10415", "image": "10415.png", "conversations": [ { "from": "human", "question": "Dr. Chan, a pediatrician, weighed all the children who recently visited her office. How many children weighed less than 93 pounds?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 5, 6, 7, and 8.\n\nIn the row with stem 9, count all the leaves less than 3.\n\nYou counted 18 leaves, which are blue in the stem-and-leaf plots above. 18 children weighed less than 93 pounds.", "answer": "18", "table": "**Children's weights (lbs)**\n\n| Stem | Leaf |\n| --- | --- |\n| 5 | 2, 7, 8 |\n| 6 | 0, 6, 9, 9, 9, 9 |\n| 7 | 1, 2, 7, 7, 8 |\n| 8 | 3, 6, 7 |\n| 9 | 0 |" } ] }, { "id": "10422", "image": "10422.png", "conversations": [ { "from": "human", "question": "Miranda, an aspiring meteorologist, spent the past few weekends studying the clouds. She took detailed notes on the types of clouds observed and the time of day they were observed. What is the probability that a randomly selected cloud was observed in the morning and was marked as stratus? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the cloud was observed in the morning\" and B be the event \"the cloud was marked as stratus\".\nTo find the probability that a cloud was observed in the morning and was marked as stratus, first identify the sample space and the event.\nThe outcomes in the sample space are the different clouds. Each cloud is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the cloud was observed in the morning and was marked as stratus\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the cloud was observed in the morning and was marked as stratus\", so look at the table to see how many clouds were observed during the morning and were marked as stratus.\nThe number of clouds that were observed during the morning and were marked as stratus is 4.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of clouds.\n3 + 2 + 4 + 2 = 11\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{4}{11}\nThe probability that a cloud was observed in the morning and was marked as stratus is \\frac{4}{11}.", "answer": "4/11", "table": "| | Stratocumulus | Stratus |\n| --- | --- | --- |\n| Morning | 3 | 4 |\n| Afternoon | 2 | 2 |" } ] }, { "id": "10426", "image": "10426.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does the bus depart from Main Street?\n" }, { "from": "gpt", "solution": "Find Main Street on the schedule. Find the departure time for Main Street.\n\nMain Street: 1:25 P. M.", "answer": "1:25 P.M.", "table": "**Hotel shuttle bus schedule**\n\n| Location | Arrive | Depart |\n| --- | --- | --- |\n| baseball stadium | 9:00 A.M. | 9:10 A.M. |\n| shopping mall | 9:50 A.M. | 9:55 A.M. |\n| train station | 10:15 A.M. | 10:20 A.M. |\n| boat docks | 11:10 A.M. | 11:20 A.M. |\n| park | 11:50 A.M. | 12:05 P.M. |\n| hotel | 12:40 P.M. | 12:55 P.M. |\n| Main Street | 1:10 P.M. | 1:25 P.M. |" } ] }, { "id": "10427", "image": "10427.png", "conversations": [ { "from": "human", "question": "The school cafeteria asked students about their favorite sandwiches before updating the lunch menu. How many lower elementary students voted for peanut butter sandwiches?\n" }, { "from": "gpt", "solution": "First, find the row for peanut butter. Then find the number in the Lower elementary students column.\n\nThis number is 6. 6 lower elementary students voted for peanut butter sandwiches.", "answer": "6", "table": "**Favorite sandwiches**\n\n| Sandwich | Upper elementary students | Lower elementary students |\n| --- | --- | --- |\n| Egg salad | 8 | 8 |\n| Cheese | 17 | 12 |\n| Peanut butter | 18 | 6 |" } ] }, { "id": "10436", "image": "10436.png", "conversations": [ { "from": "human", "question": "Desmond counted the number of ducks at each pond in the city. How many ponds had exactly 48 ducks?\n" }, { "from": "gpt", "solution": "For the number 48, the stem is 4, and the leaf is 8. Find the row where the stem is 4. In that row, count all the leaves equal to 8.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 ponds had exactly 48 ducks.", "answer": "2", "table": "**Ducks per pond**\n\n| Stem | Leaf |\n| --- | --- |\n| 0 | 1, 3, 8 |\n| 1 | 7 |\n| 2 | 0, 2, 4 |\n| 3 | 9 |\n| 4 | 0, 1, 3, 4, 8, 8 |\n| 5 | 2, 5 |" } ] }, { "id": "10441", "image": "10441.png", "conversations": [ { "from": "human", "question": "How much more does a navy blue bath mat cost than a yellow bath towel?\n" }, { "from": "gpt", "solution": "Subtract the price of a yellow bath towel from the price of a navy blue bath mat.\n\n$17 - $12 = $5\n\nA navy blue bath mat costs $5 more than a yellow bath towel.", "answer": "5", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| quilt | $23 |\n| yellow bath towel | $12 |\n| beach towel | $10 |\n| navy blue bath mat | $17 |\n| flannel sheet | $20 |" } ] }, { "id": "10458", "image": "10458.png", "conversations": [ { "from": "human", "question": "Look at this table. Is this relation a function?\n" }, { "from": "gpt", "solution": "Look at the x-values in the table.\n\nEach of the x-values is paired with only one y-value, so the relation is a function.", "answer": "yes", "table": "| x | y |\n| --- | --- |\n| 15 | 3 |\n| 2 | 18 |\n| 1 | 9 |" } ] }, { "id": "10461", "image": "10461.png", "conversations": [ { "from": "human", "question": "The train conductor made sure to count the number of passengers on each train. How many trains had at least 50 passengers but fewer than 90 passengers?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 5, 6, 7, and 8.\n\nYou counted 10 leaves, which are blue in the stem-and-leaf plot above. 10 trains had at least 50 passengers but fewer than 90 passengers.", "answer": "10", "table": "**Passengers per train**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 6, 7 |\n| 2 | 5 |\n| 3 | |\n| 4 | 1, 4 |\n| 5 | 0, 4, 9 |\n| 6 | 4, 7, 7 |\n| 7 | 7, 8 |\n| 8 | 8, 8 |" } ] }, { "id": "10489", "image": "10489.png", "conversations": [ { "from": "human", "question": "The architecture student counted the number of bricks in each building in her neighborhood. How many buildings have at least 13 bricks but fewer than 72 bricks?\n" }, { "from": "gpt", "solution": "Find the row with stem 1. Count all the leaves greater than or equal to 3.\n\nCount all the leaves in the rows with stems 2, 3, 4, 5, and 6.\n\nIn the row with stem 7, count all the leaves less than 2.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plots above. 4 buildings have at least 13 bricks but fewer than 72 bricks.", "answer": "4", "table": "**Bricks per building**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 8 |\n| 2 | |\n| 3 | |\n| 4 | 5 |\n| 5 | |\n| 6 | 1, 6 |\n| 7 | |\n| 8 | 7 |" } ] }, { "id": "10498", "image": "10498.png", "conversations": [ { "from": "human", "question": "Several people compared how many Web pages they had visited. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n2, 7, 8, 10, 5, 2, 10, 8\n\nFirst, find the greatest number. The greatest number is 10.\n\nNext, find the least number. The least number is 2.\n\nSubtract the least number from the greatest number:\n\n10 − 2 = 8\n\nThe range is 8.", "answer": "8", "table": "**Web pages visited**\n\n| Person | Number of Web pages |\n| --- | --- |\n| Emir | 2 |\n| Grace | 7 |\n| Irma | 8 |\n| Lamar | 10 |\n| Duncan | 5 |\n| Maddie | 2 |\n| Bella | 10 |\n| Charlie | 8 |" } ] }, { "id": "10500", "image": "10500.png", "conversations": [ { "from": "human", "question": "The receptionist at a doctor's office kept track of each patient's wait time. What is the shortest wait time?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 2.\n\nNow find the lowest leaf in the first row. The lowest leaf is 0.\n\nThe shortest wait time has a stem of 2 and a leaf of 0. Write the stem first, then the leaf: 20.\n\nThe shortest wait time is 20 minutes.", "answer": "20", "table": "**Doctor's office wait times (minutes)**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 0, 2, 5, 6, 8, 8 |\n| 3 | |\n| 4 | 0, 2, 4, 5 |\n| 5 | 1, 1, 2, 5, 5, 5, 7 |\n| 6 | 0, 0, 3, 7, 7, 8, 9 |" } ] }, { "id": "10510", "image": "10510.png", "conversations": [ { "from": "human", "question": "During Fitness Day at school, Felix and his classmates took part in a pull-up competition, keeping track of the results. How many people did fewer than 90 pull-ups?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 4, 5, 6, 7, and 8.\n\nYou counted 19 leaves, which are blue in the stem-and-leaf plot above. 19 people did fewer than 90 pull-ups.", "answer": "19", "table": "**Pull-up competition (number of pull-ups)**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 5, 6, 6, 8 |\n| 5 | 0, 3, 3, 5, 6 |\n| 6 | 3, 5, 8 |\n| 7 | 2, 3, 7, 9 |\n| 8 | 2, 3, 9 |" } ] }, { "id": "10512", "image": "10512.png", "conversations": [ { "from": "human", "question": "Eve likes watching the show Engineering Marvels. In last night's episode, the engineering team visited a tall skyscraper and a deep mine. A banner at the bottom of the screen showed the elevation of each location the team visited. Which location is closer to sea level?\n" }, { "from": "gpt", "solution": "The top of the skyscraper has a positive elevation, so it is above sea level. The bottom of the mine has a negative elevation, so it is below sea level.\nTo find the location closer to sea level, use absolute value. Absolute value tells you how far each location is from sea level.\nTop of the skyscraper: |275| = 275\nBottom of the mine: |-260| = 260\nThe top of the skyscraper is 275 meters above sea level, but the bottom of the mine is only260 meters below sea level. The bottom of the mine is closer to sea level.", "answer": "bottom of the mine", "table": "| Location | Elevation (m) |\n| --- | --- |\n| Top of the skyscraper | 275 |\n| Bottom of the mine | -260 |" } ] }, { "id": "10514", "image": "10514.png", "conversations": [ { "from": "human", "question": "Tammy's classmates revealed how many science articles they read. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 8, 7, 7, 10, 8, 10, 7\n\nFirst, arrange the numbers from least to greatest:\n\n7, 7, 7, 7, 8, 8, 10, 10\n\nNow count how many times each number appears.\n\n7 appears 4 times.\n8 appears 2 times.\n10 appears 2 times.\n\nThe number that appears most often is 7.\n\nThe mode is 7.", "answer": "7", "table": "**Science articles read**\n\n| Name | Number of science articles |\n| --- | --- |\n| Tammy | 7 |\n| Kamal | 8 |\n| Larry | 7 |\n| Dustin | 7 |\n| Harry | 10 |\n| Quinn | 8 |\n| Avery | 10 |\n| Candice | 7 |" } ] }, { "id": "10515", "image": "10515.png", "conversations": [ { "from": "human", "question": "In hopes of raising more funds for arts education, some parents in the Lancaster School District publicized the current per-student arts education budget. According to the table, what was the rate of change between 2015 and 2016?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{$35 - $34}{2016 - 2015}\n = \\frac{$35 - $34}{1 year}\n = \\frac{$1}{1 year}\n = $1 per year\nThe rate of change between 2015 and 2016 was $1 per year.", "answer": "1", "table": "**Lancaster arts education budget**\n\n| Year | Per-student budget |\n| --- | --- |\n| 2013 | $32 |\n| 2014 | $37 |\n| 2015 | $34 |\n| 2016 | $35 |\n| 2017 | $37 |" } ] }, { "id": "10533", "image": "10533.png", "conversations": [ { "from": "human", "question": "How much money does Sadie need to buy a train ticket to Boston and a train ticket to Seattle?\n" }, { "from": "gpt", "solution": "Add the price of a train ticket to Boston and the price of a train ticket to Seattle:\n\n$340 + $331 = $671\n\nSadie needs $671.", "answer": "671", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| train ticket to Baltimore | $327 |\n| train ticket to Boston | $340 |\n| train ticket to Chicago | $708 |\n| train ticket to Los Angeles | $363 |\n| train ticket to San Francisco | $357 |\n| train ticket to Seattle | $331 |" } ] }, { "id": "10534", "image": "10534.png", "conversations": [ { "from": "human", "question": "Eva has $0.15. Does she have enough to buy a dark gray shell and an orange cone shell?\n" }, { "from": "gpt", "solution": "Add the price of a dark gray shell and the price of an orange cone shell:\n\n$0.08 + $0.07 = $0.15\n\nSince Eva has $0.15, she has just enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| dark gray shell | $0.08 |\n| polished silver top shell | $0.01 |\n| white spindle shell | $0.01 |\n| purple clam shell | $0.08 |\n| orange cone shell | $0.07 |\n| shiny gold shell | $0.09 |" } ] }, { "id": "10535", "image": "10535.png", "conversations": [ { "from": "human", "question": "A business analyst compared purchases of different types of cereal. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n87, 87, 83, 83, 83\n\nFirst, arrange the numbers from least to greatest:\n\n83, 83, 83, 87, 87\n\nNow count how many times each number appears.\n\n83 appears 3 times.\n87 appears 2 times.\n\nThe number that appears most often is 83.\n\nThe mode is 83.", "answer": "83", "table": "**Boxes of cereal purchased**\n\n| Cereal | Number of boxes purchased |\n| --- | --- |\n| Oaty Yums | 87 |\n| Fruit-E-Ohs | 87 |\n| Toasted Treats | 83 |\n| Vanilla Honey Clusters | 83 |\n| Cinnamon Balls | 83 |" } ] }, { "id": "10544", "image": "10544.png", "conversations": [ { "from": "human", "question": "A fisherman recorded the weight of his catch, broken down by type of fish. By weight, what fraction of the catch was trout? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many kilograms of trout were caught.\n\n120\n\nFind how many kilograms of fish were caught in total.\n\n190 + 120 + 940 + 170 = 1,420\n\nDivide 120 by1,420.\n\n\\frac{120}{1,420}\n\nReduce the fraction.\n\n\\frac{120}{1,420} → \\frac{6}{71}\n\nByweight,\n\\frac{6}{71} of kilograms of trout were caught.", "answer": "6/71", "table": "**Kilograms of fish**\n\n| Fish | Kilograms caught |\n| --- | --- |\n| Salmon | 190 |\n| Trout | 120 |\n| Red snapper | 940 |\n| Other | 170 |" } ] }, { "id": "10546", "image": "10546.png", "conversations": [ { "from": "human", "question": "As part of a project for health class, Abby surveyed local delis about the kinds of sandwiches sold. How many more turkey sandwiches than ham sandwiches did Alexandra's Deli sell?\n" }, { "from": "gpt", "solution": "Find the Alexandra's Deli row. Find the numbers in this row for turkey sandwiches and ham sandwiches.\n\nturkey sandwiches: 18\nham sandwiches: 14\n\nNow subtract:\n\n18 − 14 = 4\n\nAlexandra's Deli sold 4 more turkey sandwiches than ham sandwiches.", "answer": "4", "table": "**Sandwich sales**\n\n| Shop | Turkey sandwiches | Ham sandwiches |\n| --- | --- | --- |\n| Joe's Diner | 13 | 13 |\n| Express Sandwiches | 13 | 8 |\n| Alexandra's Deli | 18 | 14 |\n| Sam's Sandwich Shop | 8 | 14 |\n| City Cafe | 10 | 8 |" } ] }, { "id": "10552", "image": "10552.png", "conversations": [ { "from": "human", "question": "A baseball player paid attention to how many baseballs he hit in practice each day. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n3, 6, 7, 8, 8, 4\n\nFirst, count how many numbers are in the group.\n\nThere are 6 numbers.\n\nNow add all the numbers together:\n\n3 + 6 + 7 + 8 + 8 + 4 = 36\n\nNow divide the sum by the number of numbers:\n\n36 ÷ 6 = 6\n\nThe mean is 6.", "answer": "6", "table": "**Baseballs hit**\n\n| Day | Number of baseballs |\n| --- | --- |\n| Thursday | 3 |\n| Friday | 6 |\n| Saturday | 7 |\n| Sunday | 8 |\n| Monday | 8 |\n| Tuesday | 4 |" } ] }, { "id": "10562", "image": "10562.png", "conversations": [ { "from": "human", "question": "A grocery store recorded how many customers visited the store each day. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n93, 100, 88, 93, 88, 96, 88\n\nFirst, arrange the numbers from least to greatest:\n\n88, 88, 88, 93, 93, 96, 100\n\nNow find the number in the middle.\n\n88, 88, 88, 93, 93, 96, 100\n\nThe number in the middle is 93.\n\nThe median is 93.", "answer": "93", "table": "**Grocery store customers**\n\n| Day | Number of customers |\n| --- | --- |\n| Thursday | 93 |\n| Friday | 100 |\n| Saturday | 88 |\n| Sunday | 93 |\n| Monday | 88 |\n| Tuesday | 96 |\n| Wednesday | 88 |" } ] }, { "id": "10564", "image": "10564.png", "conversations": [ { "from": "human", "question": "A transportation analyst compared various bridges' tolls. Of the bridges shown, which charges the most for a carpool?\n" }, { "from": "gpt", "solution": "Look at the numbers in the Carpool column. Find the greatest number in this column.\n\nThe greatest number is $5.00, which is in the Hatem row. The Hatem bridge charges the most for a carpool.", "answer": "Hatem", "table": "**Bridge tolls**\n\n| Bridge | Car | Carpool |\n| --- | --- | --- |\n| Hatem | $5 | $5 |\n| Fort Madison | $1 | $1 |\n| Tacoma Narrows | $3 | $3 |\n| George Washington | $8 | $2 |" } ] }, { "id": "10565", "image": "10565.png", "conversations": [ { "from": "human", "question": "The librarian at the public library counted the number of books on each shelf. What is the largest number of books?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 9.\n\nNow find the highest leaf in the last row. The highest leaf is 0.\n\nThe largest number of books has a stem of 9 and a leaf of 0. Write the stem first, then the leaf: 90.\n\nThe largest number of books is 90 books.", "answer": "90", "table": "**Books per shelf**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 5, 8 |\n| 2 | 4, 7 |\n| 3 | 4, 6 |\n| 4 | |\n| 5 | 5 |\n| 6 | 0, 1, 3, 5, 6, 6, 9 |\n| 7 | |\n| 8 | 4, 5 |\n| 9 | 0 |" } ] }, { "id": "10568", "image": "10568.png", "conversations": [ { "from": "human", "question": "Each shelf has 5 plates. How many plates are on 6 shelves?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 30 plates on 6 shelves.", "answer": "30", "table": "| Number of shelves | Number of plates |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | 20 |\n| 5 | 25 |\n| 6 | ? |" } ] }, { "id": "10569", "image": "10569.png", "conversations": [ { "from": "human", "question": "In trying to calculate how much money could be saved by packing lunch, Brody recorded the amount he spent on lunch each day. According to the table, what was the rate of change between Tuesday and Wednesday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{$4 - $1}{1 day}\n = \\frac{$3}{1 day}\n = $3 perday\nThe rate of change between Tuesday and Wednesday was $3 perday.", "answer": "3", "table": "**Amount Brody spent on lunch**\n\n| Day | Amount spent |\n| --- | --- |\n| Tuesday | $1 |\n| Wednesday | $4 |\n| Thursday | $3 |\n| Friday | $2 |\n| Saturday | $3 |" } ] }, { "id": "10576", "image": "10576.png", "conversations": [ { "from": "human", "question": "While writing a paper on making decisions in groups, Shelby researched the size of a number of committees. How many committees have at least 10 members but fewer than 60 members?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1, 2, 3, 4, and 5.\n\nYou counted 11 leaves, which are blue in the stem-and-leaf plot above. 11 committees have at least 10 members but fewer than 60 members.", "answer": "11", "table": "**Committee sizes (number of members)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 2 |\n| 2 | 2, 3, 6, 7, 8 |\n| 3 | 9 |\n| 4 | 2, 2 |\n| 5 | 0, 1 |" } ] }, { "id": "10577", "image": "10577.png", "conversations": [ { "from": "human", "question": "Each hamburger place has 5 booths. How many booths are in 5 hamburger places?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 25 booths in 5 hamburger places.", "answer": "25", "table": "| Number of hamburger places | Number of booths |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | 20 |\n| 5 | ? |" } ] }, { "id": "10595", "image": "10595.png", "conversations": [ { "from": "human", "question": "A volunteer for the local running club counted the number of participants at each race. How many races had fewer than 73 participants?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 3, 4, 5, and 6.\n\nIn the row with stem 7, count all the leaves less than 3.\n\nYou counted 20 leaves, which are blue in the stem-and-leaf plots above. 20 races had fewer than 73 participants.", "answer": "20", "table": "**Participants per race**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 0, 5 |\n| 4 | 2, 2, 3, 3, 4, 4, 4, 7 |\n| 5 | 0, 1, 6, 9, 9 |\n| 6 | 0, 0, 2 |\n| 7 | 0, 1, 7, 9 |" } ] }, { "id": "10596", "image": "10596.png", "conversations": [ { "from": "human", "question": "The Rockport Ski Resort asked its guests how many times they went sledding last winter. How many guests went sledding fewer than 2 times?\n" }, { "from": "gpt", "solution": "Find the rows for 0 and 1 time. Add the frequencies for these rows.\n\nAdd:\n\n13 + 5 = 18\n\n18 guests went sledding fewer than 2 times.", "answer": "18", "table": "**Sledding last winter**\n\n| Number of times | Frequency |\n| --- | --- |\n| 0 | 13 |\n| 1 | 5 |\n| 2 | 18 |\n| 3 | 4 |" } ] }, { "id": "10599", "image": "10599.png", "conversations": [ { "from": "human", "question": "Huffman has a collection of marbles of different sizes and colors. What is the probability that a randomly selected marble is small and red? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the marble is small\" and B be the event \"the marble is red\".\nTo find the probability that a marble is small and red, first identify the sample space and the event.\nThe outcomes in the sample space are the different marbles. Each marble is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the marble is small and red\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the marble is small and red\", so look at the table to see how many marbles are small and red.\nThe number of marbles that are small and red is 2.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of marbles.\n2 + 2 + 3 + 4 = 11\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{2}{11}\nThe probability that a marble is small and red is \\frac{2}{11}.", "answer": "2/11", "table": "| | Red | Green |\n| --- | --- | --- |\n| Big | 2 | 3 |\n| Small | 2 | 4 |" } ] }, { "id": "10601", "image": "10601.png", "conversations": [ { "from": "human", "question": "Zack went to the store. He bought 1 kilogram of blueberry muffin mix and 1 kilogram of cranberry muffin mix. How much did he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the blueberry muffin mix. Multiply:\n\n$0.97 × 1 = $0.97\n\nFind the cost of the cranberry muffin mix. Multiply:\n\n$0.59 × 1 = $0.59\n\nNow find the total cost by adding:\n\n$0.97 + $0.59 = $1.56\n\nHe spent $1.56.", "answer": "1.56", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| blueberry muffin mix | $0.97 per kilogram |\n| cranberry muffin mix | $0.59 per kilogram |\n| bran muffin mix | $0.55 per kilogram |\n| chocolate chip muffin mix | $1.27 per kilogram |" } ] }, { "id": "10607", "image": "10607.png", "conversations": [ { "from": "human", "question": "Whitney has $0.18. Does she have enough to buy a wooden block and a green marble?\n" }, { "from": "gpt", "solution": "Add the price of a wooden block and the price of a green marble:\n\n$0.09 + $0.08 = $0.17\n\n$0.17 is less than $0.18. Whitney does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| wooden block | $0.09 |\n| red kazoo | $0.01 |\n| blue plastic block | $0.04 |\n| green marble | $0.08 |" } ] }, { "id": "10612", "image": "10612.png", "conversations": [ { "from": "human", "question": "Percy is a physical therapist who specializes in leg injuries. His patients differ in age and type of injury. What is the probability that a randomly selected patient is 0-12 years old and suffers from ankle pain? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the patient is 0-12 years old\" and B be the event \"the patient suffers from ankle pain\".\nTo find the probability that a patient is 0-12 years old and suffers from ankle pain, first identify the sample space and the event.\nThe outcomes in the sample space are the different patients. Each patient is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the patient is 0-12 years old and suffers from ankle pain\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the patient is 0-12 years old and suffers from ankle pain\", so look at the table to see how many patients are 0-12 years old and suffer from ankle pain.\nThe number of patients who are 0-12 years old and suffer from ankle pain is 6.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of patients.\n2 + 4 + 6 + 5 = 17\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{6}{17}\nThe probability that a patient is 0-12 years old and suffers from ankle pain is \\frac{6}{17}.", "answer": "6/17", "table": "| | Knee pain | Ankle pain |\n| --- | --- | --- |\n| 0-12 years old | 2 | 6 |\n| 13-19 years old | 4 | 5 |" } ] }, { "id": "10613", "image": "10613.png", "conversations": [ { "from": "human", "question": "An economics student recorded the amount of per-capita aid that the U.S. gave to various countries during the 1900s. In 1980, which country received less aid per capita, Nepal or Afghanistan?\n" }, { "from": "gpt", "solution": "Find the 1980 column. Compare the numbers in this column for Nepal and Afghanistan.\n\n$2.00 is less than $11.00. In 1980, Afghanistan received less aid per capita.", "answer": "Afghanistan", "table": "**Aid received per capita from the U.S.**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 1970 | 1980 |\n| Nepal | $2 | $11 |\n| Afghanistan | $2 | $2 |\n| Libya | $3 | $5 |" } ] }, { "id": "10614", "image": "10614.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. At which stop does the train arrive at 10.10 A.M.?\n" }, { "from": "gpt", "solution": "Find 10:10 A. M. on the schedule. The train arrives at Skyscraper City at 10:10 A. M.", "answer": "Skyscraper City", "table": "**Train schedule**\n\n| Location | Arrive | Depart |\n| --- | --- | --- |\n| Skyscraper City | 10:10 A.M. | 10:20 A.M. |\n| Pleasant River Campground | 10:50 A.M. | 11:00 A.M. |\n| Rocky Ravine Town | 11:30 A.M. | 12:00 P.M. |\n| Gecko Paradise | 12:40 P.M. | 12:50 P.M. |\n| Snowy Mountain | 1:30 P.M. | 1:55 P.M. |\n| City of Green Trees | 2:35 P.M. | 2:45 P.M. |\n| Rollercoaster Land | 3:40 P.M. | 4:10 P.M. |\n| Magician Village | 5:05 P.M. | 5:30 P.M. |" } ] }, { "id": "10621", "image": "10621.png", "conversations": [ { "from": "human", "question": "A beauty salon in Lakeside has six beauticians and keeps track of how often clients request each one specifically. What fraction of requests were for Henry? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many clients requested Henry.\n\n290\n\nFind how many requests were made in total.\n\n460 + 220 + 620 + 290 + 360 + 190 = 2,140\n\nDivide 290 by2,140.\n\n\\frac{290}{2,140}\n\nReduce the fraction.\n\n\\frac{290}{2,140} → \\frac{29}{214}\n\n\\frac{29}{214} of clients requested Henry.", "answer": "29/214", "table": "**Beautician requests**\n\n| Beautician | Requests |\n| --- | --- |\n| Larry | 460 |\n| Norma | 220 |\n| Katy | 620 |\n| Henry | 290 |\n| Rose | 360 |\n| Cameron | 190 |" } ] }, { "id": "10629", "image": "10629.png", "conversations": [ { "from": "human", "question": "Look at this table. Is this relation a function?\n" }, { "from": "gpt", "solution": "Look at the x-values in the table.\n\nThe x-value 19 is paired with multiple y-values, so the relation is not a function.", "answer": "no", "table": "| x | y |\n| --- | --- |\n| 19 | 14 |\n| 13 | 20 |\n| 7 | 15 |\n| 19 | 19 |" } ] }, { "id": "10639", "image": "10639.png", "conversations": [ { "from": "human", "question": "A farmer wrote down how many kilograms of cherries were sold in the past 5 days. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n8, 10, 8, 10, 8\n\nFirst, arrange the numbers from least to greatest:\n\n8, 8, 8, 10, 10\n\nNow count how many times each number appears.\n\n8 appears 3 times.\n10 appears 2 times.\n\nThe number that appears most often is 8.\n\nThe mode is 8.", "answer": "8", "table": "**Cherries sold**\n\n| Day | Kilograms |\n| --- | --- |\n| Sunday | 8 |\n| Monday | 10 |\n| Tuesday | 8 |\n| Wednesday | 10 |\n| Thursday | 8 |" } ] }, { "id": "10643", "image": "10643.png", "conversations": [ { "from": "human", "question": "An art instructor kept track of how many total pictures were painted by each of the people enrolled in his class. How many people painted fewer than 2 pictures?\n" }, { "from": "gpt", "solution": "Find the rows for 0 and 1 picture. Add the frequencies for these rows.\n\nAdd:\n\n0 + 9 = 9\n\n9 people painted fewer than 2 pictures.", "answer": "9", "table": "**Painting pictures**\n\n| Pictures painted | Frequency |\n| --- | --- |\n| 0 | 0 |\n| 1 | 9 |\n| 2 | 7 |\n| 3 | 5 |" } ] }, { "id": "10644", "image": "10644.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{8 - 1}{11 - 10}\n = \\frac{7}{1}\n = 7\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{18 - 1}{12 - 10}\n = \\frac{17}{2}\n = 8\\frac{1}{2}\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 10 | 1 |\n| 11 | 8 |\n| 12 | 18 |" } ] }, { "id": "10647", "image": "10647.png", "conversations": [ { "from": "human", "question": "Samantha went on a camping trip and logged the number of miles she hiked each day. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n3, 4, 4, 4, 3\n\nFirst, arrange the numbers from least to greatest:\n\n3, 3, 4, 4, 4\n\nNow count how many times each number appears.\n\n3 appears 2 times.\n4 appears 3 times.\n\nThe number that appears most often is 4.\n\nThe mode is 4.", "answer": "4", "table": "**Miles hiked**\n\n| Day | Number of miles |\n| --- | --- |\n| Thursday | 3 |\n| Friday | 4 |\n| Saturday | 4 |\n| Sunday | 4 |\n| Monday | 3 |" } ] }, { "id": "10658", "image": "10658.png", "conversations": [ { "from": "human", "question": "A dog show enthusiast recorded the weight of the winning dog at recent dog shows. According to the table, what was the rate of change between 2017 and 2018?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{30 kilograms - 36 kilograms}{2018 - 2017}\n = \\frac{30 kilograms - 36 kilograms}{1 year}\n = \\frac{-6 kilograms}{1 year}\n = -6 kilograms per year\nThe rate of change between 2017 and 2018 was - 6 kilograms per year.", "answer": "-6", "table": "**Weight of winning dog at a dog show**\n\n| Year | Weight (kg) |\n| --- | --- |\n| 2016 | 37 |\n| 2017 | 36 |\n| 2018 | 30 |\n| 2019 | 33 |\n| 2020 | 31 |" } ] }, { "id": "10659", "image": "10659.png", "conversations": [ { "from": "human", "question": "A researcher asked people how many letters they had written in the past year and recorded the results. How many people wrote fewer than 3 letters?\n" }, { "from": "gpt", "solution": "Find the rows for 0, 1, and 2 letters. Add the frequencies for these rows.\n\nAdd:\n\n20 + 19 + 1 = 40\n\n40 people wrote fewer than 3 letters.", "answer": "40", "table": "**Writing letters**\n\n| Letters written | Frequency |\n| --- | --- |\n| 0 | 20 |\n| 1 | 19 |\n| 2 | 1 |\n| 3 | 17 |\n| 4 | 5 |\n| 5 | 11 |" } ] }, { "id": "10663", "image": "10663.png", "conversations": [ { "from": "human", "question": "Look at Yasmeen's pay stub. Yasmeen lives in a state without state income tax. How much payroll tax did Yasmeen pay in total?\n" }, { "from": "gpt", "solution": "To find the total payroll tax, add the federal income tax and the other taxes.\nThe federal income tax is $106.60. The other taxes are $64.80. Add.\n$106.60 + $64.80 = $171.40\nYasmeen paid a total of $171.40 in payroll tax.", "answer": "171.40", "table": "| Employee | Pay period | |\n| --- | --- | --- |\n| Yasmeen Khan | January 22-28 | |\n| Total earnings | | $847.00 |\n| Federal income tax | $106.60 | |\n| Other taxes | $64.80 | |\n| Total taxes | | ? |\n| Pay after taxes | | ? |" } ] }, { "id": "10665", "image": "10665.png", "conversations": [ { "from": "human", "question": "Avery is looking at the price of new cell phones online. Her favorite company, OrangeTech, has a special this weekend. Avery can add an upgrade to a phone for an additional cost, or she can buy a used phone to get a discount. The change in price for each option is shown in the table. Which option results in a greater change in price?\n" }, { "from": "gpt", "solution": "To find the option that results in a greater change in price, use absolute value. Absolute value tells you how much the price changes.\nAdd an upgrade: |$60| = $60\nBuy a used phone: |-$75| = $75\nBuying a used phone results in a greater change in price. It reduces the price by $75.", "answer": "buying a used phone", "table": "| Option | Change in phone price |\n| --- | --- |\n| Add an upgrade | $60 |\n| Buy a used phone | -$75 |" } ] }, { "id": "10666", "image": "10666.png", "conversations": [ { "from": "human", "question": "Luke has $7.00. Does he have enough to buy a white T-shirt and a pair of shorts?\n" }, { "from": "gpt", "solution": "Add the price of a white T-shirt and the price of a pair of shorts:\n\n$1.00 + $8.00 = $9.00\n\n$9.00 is more than $7.00. Luke does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| red sweater | $7.00 |\n| pair of white socks | $7.00 |\n| white T-shirt | $1.00 |\n| striped scarf | $8.00 |\n| pair of shorts | $8.00 |\n| striped shirt | $8.00 |" } ] }, { "id": "10671", "image": "10671.png", "conversations": [ { "from": "human", "question": "The members of the track team compared how many miles they ran last week. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n5, 5, 4, 4, 11, 4, 11\n\nFirst, arrange the numbers from least to greatest:\n\n4, 4, 4, 5, 5, 11, 11\n\nNow count how many times each number appears.\n\n4 appears 3 times.\n5 appears 2 times.\n11 appears 2 times.\n\nThe number that appears most often is 4.\n\nThe mode is 4.", "answer": "4", "table": "**Running miles**\n\n| Name | Miles |\n| --- | --- |\n| Dillon | 5 |\n| Rose | 5 |\n| Zeke | 4 |\n| Greg | 4 |\n| Natalie | 11 |\n| Aiden | 4 |\n| Jessica | 11 |" } ] }, { "id": "10672", "image": "10672.png", "conversations": [ { "from": "human", "question": "In preparation for graduation, some teachers and students volunteered for the various graduation committees. Which committee has the fewest teachers?\n" }, { "from": "gpt", "solution": "Look at the numbers in the Teachers column. Find the least number in this column.\n\nThe least number is 6, which is in the Schedule row. The fewest teachers are on the schedule committee.", "answer": "schedule", "table": "**Graduation committees**\n\n| Committee | Teachers | Students |\n| --- | --- | --- |\n| Food | 19 | 13 |\n| Schedule | 6 | 20 |\n| Speech | 10 | 14 |" } ] }, { "id": "10686", "image": "10686.png", "conversations": [ { "from": "human", "question": "Each basket has 2 poppies. How many poppies are in 3 baskets?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 6 poppies in 3 baskets.", "answer": "6", "table": "| Number of baskets | Number of poppies |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | ? |" } ] }, { "id": "10697", "image": "10697.png", "conversations": [ { "from": "human", "question": "A Girl Scout troop recorded how many boxes of cookies they sold each day for a week. According to the table, what was the rate of change between Monday and Tuesday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{36 boxes - 47 boxes}{1 day}\n = \\frac{-11 boxes}{1 day}\n = -11 boxes per day\nThe rate of change between Monday and Tuesday was - 11 boxes per day.", "answer": "-11", "table": "**Boxes of Girl Scout cookies sold**\n\n| Day | Boxes of cookies |\n| --- | --- |\n| Sunday | 37 |\n| Monday | 47 |\n| Tuesday | 36 |\n| Wednesday | 49 |\n| Thursday | 40 |" } ] }, { "id": "10699", "image": "10699.png", "conversations": [ { "from": "human", "question": "A shipping company keeps track of the number of boxes in each shipment they send out. How many shipments had at least 60 boxes?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 6, 7, 8, and 9.\n\nYou counted 6 leaves, which are blue in the stem-and-leaf plot above. 6 shipments had at least 60 boxes.", "answer": "6", "table": "**Boxes per shipment**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 0 |\n| 2 | 1, 2, 4 |\n| 3 | 1, 8 |\n| 4 | 3, 6, 9 |\n| 5 | 1, 4, 4, 7, 8, 9 |\n| 6 | 2, 6 |\n| 7 | 0, 6, 8 |\n| 8 | |\n| 9 | 0 |" } ] }, { "id": "10701", "image": "10701.png", "conversations": [ { "from": "human", "question": "Anita graphed the temperature at noon for 5 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 4, 4, 9, 9\n\nFirst, find the greatest number. The greatest number is 9.\n\nNext, find the least number. The least number is 4.\n\nSubtract the least number from the greatest number:\n\n9 − 4 = 5\n\nThe range is 5.", "answer": "5", "table": "**Temperature at noon**\n\n| Day | Temperature (°C) |\n| --- | --- |\n| Monday | 9 |\n| Tuesday | 4 |\n| Wednesday | 4 |\n| Thursday | 9 |\n| Friday | 9 |" } ] }, { "id": "10703", "image": "10703.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which stop does the train depart from at 11.40 A.M.?\n" }, { "from": "gpt", "solution": "Find 11:40 A. M. on the schedule. The train departs from Franklin Boulevard at 11:40 A. M.", "answer": "Franklin Boulevard", "table": "**Subway train schedule**\n\n| Location | Time |\n| --- | --- |\n| Pine Boulevard | 9:55 A.M. |\n| Spring Avenue | 10:30 A.M. |\n| Locust Avenue | 11:15 A.M. |\n| Valley Road | 11:25 A.M. |\n| Franklin Boulevard | 11:40 A.M. |\n| Miller Road | 12:05 P.M. |\n| Hickory Boulevard | 12:50 P.M. |\n| Green Road | 1:00 P.M. |\n| Jackson Road | 1:15 P.M. |" } ] }, { "id": "10706", "image": "10706.png", "conversations": [ { "from": "human", "question": "Hillsdale Flooring tracked the number of broken tiles in each shipment it received last year. How many shipments had at least 50 broken tiles?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 5, 6, 7, 8, and 9.\n\nYou counted 16 leaves, which are blue in the stem-and-leaf plot above. 16 shipments had at least 50 broken tiles.", "answer": "16", "table": "**Broken tiles per shipment**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 1, 2, 3, 4, 4, 5, 6 |\n| 5 | 2, 3, 5 |\n| 6 | 0, 7, 9 |\n| 7 | 1, 3, 9 |\n| 8 | 3, 4, 4, 7, 8, 9 |\n| 9 | 0 |" } ] }, { "id": "10710", "image": "10710.png", "conversations": [ { "from": "human", "question": "The librarian at the public library counted the number of books on each shelf. What is the largest number of books?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 9.\n\nNow find the highest leaf in the last row. The highest leaf is 0.\n\nThe largest number of books has a stem of 9 and a leaf of 0. Write the stem first, then the leaf: 90.\n\nThe largest number of books is 90 books.", "answer": "90", "table": "**Books per shelf**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 0, 5, 5, 6 |\n| 5 | 3, 5, 6, 9 |\n| 6 | 7, 7 |\n| 7 | 0, 5, 7 |\n| 8 | 1, 9 |\n| 9 | 0 |" } ] }, { "id": "10718", "image": "10718.png", "conversations": [ { "from": "human", "question": "If Maddie buys 1/4 of a kilogram of beef sauce, how much will she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the beef sauce. Multiply the price per kilogram by the number of kilograms.\n$2 × \\frac{1}{4} = $2 × 0.25 = $0.50\nShe will spend $0.50.", "answer": "0.50", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| beef sauce | $2/kg |\n| chicken sauce | $2/kg |\n| marinara sauce | $3/kg |\n| tomato sauce | $3/kg |\n| alfredo sauce | $2/kg |\n| pesto sauce | $2/kg |" } ] }, { "id": "10719", "image": "10719.png", "conversations": [ { "from": "human", "question": "The members of the local garden club tallied the number of plants in each person's garden. How many gardens have fewer than 75 plants?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 5 and 6.\n\nIn the row with stem 7, count all the leaves less than 5.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plots above. 4 gardens have fewer than 75 plants.", "answer": "4", "table": "**Plants per garden**\n\n| Stem | Leaf |\n| --- | --- |\n| 5 | 0, 6 |\n| 6 | 4, 8 |\n| 7 | 7 |\n| 8 | 4 |" } ] }, { "id": "10721", "image": "10721.png", "conversations": [ { "from": "human", "question": "A flight attendant was counting the number of passengers present to see if any upgrades could be offered. The flight attendant's list contained passengers' Frequent Flyer status as well as number of bags checked. What is the probability that a randomly selected passenger has silver status and 1 checked bag? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the passenger has silver status\" and B be the event \"the passenger has 1 checked bag\".\nTo find the probability that a passenger has silver status and 1 checked bag, first identify the sample space and the event.\nThe outcomes in the sample space are the different passengers. Each passenger is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the passenger has silver status and 1 checked bag\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the passenger has silver status and 1 checked bag\", so look at the table to see how many passengers have silver status and 1 checked bag.\nThe number of passengers who have silver status and 1 checked bag is 3.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of passengers.\n2 + 7 + 4 + 3 = 16\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{3}{16}\nThe probability that a passenger has silver status and 1 checked bag is \\frac{3}{16}.", "answer": "3/16", "table": "| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| | 0 checked bags | 1 checked bag |\n| Bronze status | 2 | 4 |\n| Silver status | 7 | 3 |" } ] }, { "id": "10723", "image": "10723.png", "conversations": [ { "from": "human", "question": "For a math assignment, students noted the number of times a wheel landed on the numbers 0 through 5. Which number was spun the most times?\n" }, { "from": "gpt", "solution": "Look at the frequency column. Find the greatest frequency. The greatest frequency is 18, which is in the row for 3. 3 was spun the most times.", "answer": "3", "table": "**Spinning a wheel numbered 0 through 5**\n\n| Number spun | Frequency |\n| --- | --- |\n| 0 | 5 |\n| 1 | 10 |\n| 2 | 6 |\n| 3 | 18 |\n| 4 | 7 |\n| 5 | 13 |" } ] }, { "id": "10725", "image": "10725.png", "conversations": [ { "from": "human", "question": "Connor, a fantasy football fan, carefully studied the number of touchdowns completed by his favorite players last season. How many players scored more than 2 touchdowns last season?\n" }, { "from": "gpt", "solution": "Find the row for 3 touchdowns last season and read the frequency. The frequency is 13.\n\n13 players scored more than 2 touchdowns last season.", "answer": "13", "table": "**Football touchdowns scored last season**\n\n| Touchdowns scored | Frequency |\n| --- | --- |\n| 0 | 7 |\n| 1 | 4 |\n| 2 | 16 |\n| 3 | 13 |" } ] }, { "id": "10726", "image": "10726.png", "conversations": [ { "from": "human", "question": "A cookie factory monitored the number of broken cookies per pack yesterday. How many packs had less than 90 broken cookies?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 5, 6, 7, and 8.\n\nYou counted 13 leaves, which are blue in the stem-and-leaf plot above. 13 packs had less than 90 broken cookies.", "answer": "13", "table": "**Broken cookies per pack**\n\n| Stem | Leaf |\n| --- | --- |\n| 5 | 2, 6 |\n| 6 | 2, 4, 5, 9 |\n| 7 | 0, 1, 8, 9 |\n| 8 | 1, 1, 8 |\n| 9 | 0, 0 |" } ] }, { "id": "10731", "image": "10731.png", "conversations": [ { "from": "human", "question": "How much more does a Caribbean vacation package cost than a Jamaican vacation package?\n" }, { "from": "gpt", "solution": "Subtract the price of a Jamaican vacation package from the price of a Caribbean vacation package.\n\n$6,657 - $4,060 = $2,597\n\nA Caribbean vacation package costs $2,597 more than a Jamaican vacation package.", "answer": "2,597", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| African safari vacation package | $3,174 |\n| Jamaican vacation package | $4,060 |\n| Hawaiian vacation package | $2,228 |\n| Caribbean vacation package | $6,657 |\n| European vacation package | $6,856 |" } ] }, { "id": "10733", "image": "10733.png", "conversations": [ { "from": "human", "question": "An adventure tour company found out how many whales people saw on its most popular whale tour. How many people saw fewer than 3 whales?\n" }, { "from": "gpt", "solution": "Find the rows for 0, 1, and 2 whales. Add the frequencies for these rows.\n\nAdd:\n\n20 + 11 + 19 = 50\n\n50 people saw fewer than 3 whales.", "answer": "50", "table": "**Whale watching**\n\n| Whales spotted | Frequency |\n| --- | --- |\n| 0 | 20 |\n| 1 | 11 |\n| 2 | 19 |\n| 3 | 10 |\n| 4 | 15 |\n| 5 | 2 |" } ] }, { "id": "10744", "image": "10744.png", "conversations": [ { "from": "human", "question": "How much money does Jenna need to buy a lamp and a crystal vase?\n" }, { "from": "gpt", "solution": "Add the price of a lamp and the price of a crystal vase:\n\n$74.21 + $91.93 = $166.14\n\nJenna needs $166.14.", "answer": "166.14", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| oil painting | $95.07 |\n| rug | $24.82 |\n| crystal vase | $91.93 |\n| lamp | $74.21 |\n| ceramic vase | $87.53 |\n| chandelier | $52.99 |" } ] }, { "id": "10753", "image": "10753.png", "conversations": [ { "from": "human", "question": "At their family reunion, the Bullock family recorded everyone's age. How many people are at least 30 years old but less than 90 years old?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 3, 4, 5, 6, 7, and 8.\n\nYou counted 22 leaves, which are blue in the stem-and-leaf plot above. 22 people are at least 30 years old but less than 90 years old.", "answer": "22", "table": "**Ages**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 8, 9 |\n| 4 | 1, 4, 4, 5 |\n| 5 | 3 |\n| 6 | 2, 8, 9 |\n| 7 | 1, 2, 4, 6, 8 |\n| 8 | 0, 0, 1, 2, 5, 6, 9 |" } ] }, { "id": "10754", "image": "10754.png", "conversations": [ { "from": "human", "question": "Alexandra looked at her e-mail outbox to see how many e-mails she sent each day. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 3, 5, 7, 10, 7, 5\n\nFirst, arrange the numbers from least to greatest:\n\n3, 5, 5, 7, 7, 7, 10\n\nNow find the number in the middle.\n\n3, 5, 5, 7, 7, 7, 10\n\nThe number in the middle is 7.\n\nThe median is 7.", "answer": "7", "table": "**E-mails sent**\n\n| Day | Number of e-mails |\n| --- | --- |\n| Saturday | 7 |\n| Sunday | 3 |\n| Monday | 5 |\n| Tuesday | 7 |\n| Wednesday | 10 |\n| Thursday | 7 |\n| Friday | 5 |" } ] }, { "id": "10755", "image": "10755.png", "conversations": [ { "from": "human", "question": "Some students compared how many pets they have. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n2, 5, 1, 1, 10, 9, 7\n\nFirst, count how many numbers are in the group.\n\nThere are 7 numbers.\n\nNow add all the numbers together:\n\n2 + 5 + 1 + 1 + 10 + 9 + 7 = 35\n\nNow divide the sum by the number of numbers:\n\n35 ÷ 7 = 5\n\nThe mean is 5.", "answer": "5", "table": "**Pets**\n\n| Name | Number of pets |\n| --- | --- |\n| Rob | 2 |\n| Zane | 5 |\n| Kiera | 1 |\n| Colette | 1 |\n| Ellie | 10 |\n| Dirk | 9 |\n| Gabe | 7 |" } ] }, { "id": "10756", "image": "10756.png", "conversations": [ { "from": "human", "question": "Mr. Lin recorded the scores of his students on the most recent math quiz. How many students scored more than 9?\n" }, { "from": "gpt", "solution": "Find the row for 10 and read the frequency. The frequency is 4.\n\n4 students scored more than 9.", "answer": "4", "table": "**Scores on the math quiz**\n\n| Score | Frequency |\n| --- | --- |\n| 5 | 2 |\n| 6 | 12 |\n| 7 | 17 |\n| 8 | 15 |\n| 9 | 0 |\n| 10 | 4 |" } ] }, { "id": "10760", "image": "10760.png", "conversations": [ { "from": "human", "question": "Ron entered his sister into their town's Smelly Shoe Competition. Ron observed contestants of all ages proudly strutting around wearing different kinds of smelly shoes. What is the probability that a randomly selected contestant is wearing high heels and is 13 to 30 years old? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the contestant is wearing high heels\" and B be the event \"the contestant is 13 to 30 years old\".\nTo find the probability that a contestant is wearing high heels and is 13 to 30 years old, first identify the sample space and the event.\nThe outcomes in the sample space are the different contestants. Each contestant is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the contestant is wearing high heels and is 13 to 30 years old\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the contestant is wearing high heels and is 13 to 30 years old\", so look at the table to see how many contestants are wearing high heels and are 13 to 30 years old.\nThe number of contestants who are wearing high heels and are 13 to 30 years old is 2.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of contestants.\n3 + 2 + 5 + 2 = 12\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{2}{12}\n = \\frac{1}{6}\nThe probability that a contestant is wearing high heels and is 13 to 30 years old is \\frac{1}{6}.", "answer": "1/6", "table": "| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| | Under age 12 | 13 to 30 years old |\n| Tennis shoes | 3 | 5 |\n| High heels | 2 | 2 |" } ] }, { "id": "10761", "image": "10761.png", "conversations": [ { "from": "human", "question": "A restaurant's average food preparation time was tracked from day to day as part of an efficiency improvement program. According to the table, what was the rate of change between Tuesday and Wednesday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{32 minutes - 31 minutes}{1 day}\n = \\frac{1 minute}{1 day}\n = 1 minute per day\nThe rate of change between Tuesday and Wednesday was 1 minute per day.", "answer": "1", "table": "**Average food preparation time**\n\n| Day | Food preparation time (minutes) |\n| --- | --- |\n| Monday | 31 |\n| Tuesday | 31 |\n| Wednesday | 32 |\n| Thursday | 36 |\n| Friday | 38 |" } ] }, { "id": "10766", "image": "10766.png", "conversations": [ { "from": "human", "question": "As part of a math lab, Victoria tracked the number of times her classmates drew a number between 2 and 8. How many students drew a number less than 5?\n" }, { "from": "gpt", "solution": "Find the rows for 2, 3, and 4. Add the frequencies for these rows.\n\nAdd:\n\n1 + 4 + 9 = 14\n\n14 students drew a number less than 5.", "answer": "14", "table": "**Drawing a card between 2 and 8**\n\n| Number drawn | Frequency |\n| --- | --- |\n| 2 | 1 |\n| 3 | 4 |\n| 4 | 9 |\n| 5 | 10 |\n| 6 | 19 |\n| 7 | 17 |\n| 8 | 5 |" } ] }, { "id": "10767", "image": "10767.png", "conversations": [ { "from": "human", "question": "For an assignment, Brody looked at which countries got the most Nobel Prizes in various decades. In the 1970s, how many more Nobel Prize winners did Russia have than Italy?\n" }, { "from": "gpt", "solution": "Find the 1970 s column. Find the numbers in this column for Russia and Italy.\n\nRussia: 5\nItaly: 2\n\nNow subtract:\n\n5 − 2 = 3\n\nRussia had 3 more Nobel Prize winners in the 1970 s than Italy.", "answer": "3", "table": "**Nobel Prize winners**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 1960s | 1970s |\n| Italy | 2 | 2 |\n| Canada | 1 | 2 |\n| Russia | 4 | 5 |" } ] }, { "id": "10768", "image": "10768.png", "conversations": [ { "from": "human", "question": "Adriana looked at her calendar to see how many hours she had worked in the past 7 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n10, 2, 7, 6, 3, 4, 6\n\nFirst, find the greatest number. The greatest number is 10.\n\nNext, find the least number. The least number is 2.\n\nSubtract the least number from the greatest number:\n\n10 − 2 = 8\n\nThe range is 8.", "answer": "8", "table": "**Hours worked**\n\n| Day | Hours |\n| --- | --- |\n| Friday | 10 |\n| Saturday | 2 |\n| Sunday | 7 |\n| Monday | 6 |\n| Tuesday | 3 |\n| Wednesday | 4 |\n| Thursday | 6 |" } ] }, { "id": "10772", "image": "10772.png", "conversations": [ { "from": "human", "question": "Each shopping bag has 2 notebooks. How many notebooks are in 4 shopping bags?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 8 notebooks in 4 shopping bags.", "answer": "8", "table": "| Number of shopping bags | Number of notebooks |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | 6 |\n| 4 | ? |" } ] }, { "id": "10783", "image": "10783.png", "conversations": [ { "from": "human", "question": "Kendra's class recorded how many cans of food each student collected for their canned food drive. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n5, 8, 7, 8, 6, 5, 8\n\nFirst, find the greatest number. The greatest number is 8.\n\nNext, find the least number. The least number is 5.\n\nSubtract the least number from the greatest number:\n\n8 − 5 = 3\n\nThe range is 3.", "answer": "3", "table": "**Cans of food collected**\n\n| Name | Number of cans of food |\n| --- | --- |\n| Kendra | 5 |\n| Rodrigo | 8 |\n| Mateo | 7 |\n| Janice | 8 |\n| Bryant | 6 |\n| Alice | 5 |\n| Herman | 8 |" } ] }, { "id": "10784", "image": "10784.png", "conversations": [ { "from": "human", "question": "How much money does Lara need to buy a rug and a crystal sculpture?\n" }, { "from": "gpt", "solution": "Add the price of a rug and the price of a crystal sculpture:\n\n$69 + $61 = $130\n\nLara needs $130.", "answer": "130", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| oil painting | $90 |\n| rug | $69 |\n| crystal vase | $57 |\n| crystal sculpture | $61 |\n| lamp | $55 |" } ] }, { "id": "10799", "image": "10799.png", "conversations": [ { "from": "human", "question": "Some students compared how many clubs they belong to. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 9, 4, 10, 10, 10\n\nFirst, find the greatest number. The greatest number is 10.\n\nNext, find the least number. The least number is 4.\n\nSubtract the least number from the greatest number:\n\n10 − 4 = 6\n\nThe range is 6.", "answer": "6", "table": "**Clubs**\n\n| Name | Number of clubs |\n| --- | --- |\n| Duncan | 9 |\n| Chad | 9 |\n| Tammy | 4 |\n| Shane | 10 |\n| Jenna | 10 |\n| Edward | 10 |" } ] }, { "id": "10801", "image": "10801.png", "conversations": [ { "from": "human", "question": "How much money does Pam need to buy a mop and a watering can?\n" }, { "from": "gpt", "solution": "Add the price of a mop and the price of a watering can:\n\n$8 + $6 = $14\n\nPam needs $14.", "answer": "14", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| watering can | $6 |\n| wrench | $2 |\n| padlock | $1 |\n| mop | $8 |\n| broom | $8 |\n| bucket | $2 |" } ] }, { "id": "10803", "image": "10803.png", "conversations": [ { "from": "human", "question": "How much money does Kendrick need to buy 2 Yorkshire Terriers?\n" }, { "from": "gpt", "solution": "Find the total cost of 2 Yorkshire Terriers by multiplying 2 times the price of a Yorkshire Terrier.\n\n$1,562.00 × 2 = $3,124.00\n\nKendrick needs $3,124.00.", "answer": "3,124", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| Yorkshire Terrier | $1,562.00 |\n| Australian Shepherd | $1,964.00 |\n| Pomeranian | $1,178.00 |\n| Golden Retriever | $2,530.00 |\n| Beagle | $1,441.00 |\n| English Bulldog | $1,580.00 |" } ] }, { "id": "10806", "image": "10806.png", "conversations": [ { "from": "human", "question": "How much money does Adam need to buy 3 bicycle helmets?\n" }, { "from": "gpt", "solution": "Find the total cost of 3 bicycle helmets by multiplying 3 times the price of a bicycle helmet.\n\n$12.00 × 3 = $36.00\n\nAdam needs $36.00.", "answer": "36", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| basketball | $15.00 |\n| bicycle helmet | $12.00 |\n| volleyball | $11.00 |\n| badminton set | $23.00 |" } ] }, { "id": "10807", "image": "10807.png", "conversations": [ { "from": "human", "question": "Some students compared how many clubs they belong to. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n4, 6, 6, 3, 7, 3, 2\n\nFirst, find the greatest number. The greatest number is 7.\n\nNext, find the least number. The least number is 2.\n\nSubtract the least number from the greatest number:\n\n7 − 2 = 5\n\nThe range is 5.", "answer": "5", "table": "**Clubs**\n\n| Name | Number of clubs |\n| --- | --- |\n| Richard | 4 |\n| Julie | 6 |\n| Bella | 6 |\n| Hector | 3 |\n| Arianna | 7 |\n| Lucia | 3 |\n| Stefan | 2 |" } ] }, { "id": "10809", "image": "10809.png", "conversations": [ { "from": "human", "question": "To get credit for meeting her school's community service requirement, Grace kept a volunteering log. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n8, 9, 10, 9, 7\n\nFirst, find the greatest number. The greatest number is 10.\n\nNext, find the least number. The least number is 7.\n\nSubtract the least number from the greatest number:\n\n10 − 7 = 3\n\nThe range is 3.", "answer": "3", "table": "**Hours spent volunteering**\n\n| Day | Hours |\n| --- | --- |\n| Sunday | 8 |\n| Monday | 9 |\n| Tuesday | 10 |\n| Wednesday | 9 |\n| Thursday | 7 |" } ] }, { "id": "10812", "image": "10812.png", "conversations": [ { "from": "human", "question": "A recycling center kept a log of how many glass bottles were recycled in the past 5 days. How many glass bottles in total did the center recycle on Monday and Tuesday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nMonday: 1,386\nTuesday: 1,095\n\nNow add: 1,386 + 1,095 = 2,481.\n\nThe center recycled 2,481 glass bottles on Monday and Tuesday.", "answer": "2,481", "table": "**Bottles recycled**\n\n| Day | Number of bottles |\n| --- | --- |\n| Sunday | 5,122 |\n| Monday | 1,386 |\n| Tuesday | 1,095 |\n| Wednesday | 1,247 |\n| Thursday | 1,239 |" } ] }, { "id": "10814", "image": "10814.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does the Lions versus Blue Jays game end?\n" }, { "from": "gpt", "solution": "Find the Lions versus Blue Jays game on the schedule. Find the end time for the Lions versus Blue Jays game.\n\nLions versus Blue Jays: 12:55 P. M.", "answer": "12:55 P.M.", "table": "**Soccer tournament schedule**\n\n| Game | Begin | End |\n| --- | --- | --- |\n| Fire versus Blizzard | 8:40 A.M. | 10:10 A.M. |\n| Tigers versus Wolves | 9:00 A.M. | 10:30 A.M. |\n| Waves versus Alligators | 9:30 A.M. | 11:00 A.M. |\n| Thunder versus Eagles | 10:00 A.M. | 11:30 A.M. |\n| Cardinals versus Cobras | 10:15 A.M. | 11:45 A.M. |\n| Lions versus Blue Jays | 11:25 A.M. | 12:55 P.M. |\n| Hawks versus Jaguars | 12:40 P.M. | 2:10 P.M. |" } ] }, { "id": "10817", "image": "10817.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{13 - 19}{18 - 17}\n = \\frac{-6}{1}\n = -6\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{8 - 13}{19 - 18}\n = \\frac{-5}{1}\n = -5\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 17 | 19 |\n| 18 | 13 |\n| 19 | 8 |" } ] }, { "id": "10823", "image": "10823.png", "conversations": [ { "from": "human", "question": "How much more does a red kazoo cost than a green marble?\n" }, { "from": "gpt", "solution": "Subtract the price of a green marble from the price of a red kazoo.\n\n$0.08 - $0.07 = $0.01\n\nA red kazoo costs $0.01 more than a green marble.", "answer": "0.01", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| green marble | $0.07 |\n| green bouncy ball | $0.05 |\n| colorful pinwheel | $0.07 |\n| red kazoo | $0.08 |" } ] }, { "id": "10824", "image": "10824.png", "conversations": [ { "from": "human", "question": "Derek has $14,885.00. Does he have enough to buy a green jeep and a white pick-up truck?\n" }, { "from": "gpt", "solution": "Add the price of a green jeep and the price of a white pick-up truck:\n\n$9,294.00 + $5,605.00 = $14,899.00\n\n$14,899.00 is more than $14,885.00. Derek does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| big blue van | $5,518.00 |\n| white pick-up truck | $5,605.00 |\n| black convertible | $7,698.00 |\n| green jeep | $9,294.00 |\n| gray four-door sedan | $5,821.00 |" } ] }, { "id": "10827", "image": "10827.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does dodgeball end?\n" }, { "from": "gpt", "solution": "Find dodgeball on the schedule. Find the end time for dodgeball.\n\ndodgeball: 10:05 A. M.", "answer": "10:05 A.M.", "table": "**Gym schedule**\n\n| Activity | Begin | End |\n| --- | --- | --- |\n| line dancing | 8:05 A.M. | 8:55 A.M. |\n| dodgeball | 9:05 A.M. | 10:05 A.M. |\n| fitness class | 10:10 A.M. | 11:00 A.M. |\n| gymnastics | 11:05 A.M. | 12:00 P.M. |\n| volleyball | 12:05 P.M. | 12:55 P.M. |\n| indoor soccer | 1:05 P.M. | 1:50 P.M. |\n| yoga | 2:05 P.M. | 3:05 P.M. |" } ] }, { "id": "10840", "image": "10840.png", "conversations": [ { "from": "human", "question": "Toby kept track of the number of characters in each book he read. What is the smallest number of characters?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 2.\n\nNow find the lowest leaf in the first row. The lowest leaf is 3.\n\nThe smallest number of characters has a stem of 2 and a leaf of 3. Write the stem first, then the leaf: 23.\n\nThe smallest number of characters is 23 characters.", "answer": "23", "table": "**Characters per book**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 3, 4, 6, 8 |\n| 3 | 2 |\n| 4 | 2, 9 |\n| 5 | 0 |" } ] }, { "id": "10841", "image": "10841.png", "conversations": [ { "from": "human", "question": "A real estate agent looked into how many houses were sold in different cities. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n70, 71, 84, 69, 67, 74, 90\n\nFirst, count how many numbers are in the group.\n\nThere are 7 numbers.\n\nNow add all the numbers together:\n\n70 + 71 + 84 + 69 + 67 + 74 + 90 = 525\n\nNow divide the sum by the number of numbers:\n\n525 ÷ 7 = 75\n\nThe mean is 75.", "answer": "75", "table": "**House sales**\n\n| City | Number of houses sold |\n| --- | --- |\n| Melville | 70 |\n| Pleasant Town | 71 |\n| New Hamburg | 84 |\n| Liberty City | 69 |\n| Briggs Corner | 67 |\n| Fremont | 74 |\n| Charles Falls | 90 |" } ] }, { "id": "10843", "image": "10843.png", "conversations": [ { "from": "human", "question": "A food critic counted the number of menu items at each restaurant in town. What is the smallest number of menu items?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 1.\n\nNow find the lowest leaf in the first row. The lowest leaf is 2.\n\nThe smallest number of menu items has a stem of 1 and a leaf of 2. Write the stem first, then the leaf: 12.\n\nThe smallest number of menu items is 12 menu items.", "answer": "12", "table": "**Menu items per restaurant**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 2, 3, 5, 7 |\n| 2 | |\n| 3 | 2, 4 |\n| 4 | 1, 6, 7 |\n| 5 | 2, 3, 4 |\n| 6 | 3 |\n| 7 | 3, 3 |\n| 8 | 5, 8, 9 |\n| 9 | 0 |" } ] }, { "id": "10848", "image": "10848.png", "conversations": [ { "from": "human", "question": "The school district compared how many swings each elementary school has. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 9, 8, 9, 9, 8\n\nFirst, arrange the numbers from least to greatest:\n\n6, 8, 8, 9, 9, 9\n\nNow count how many times each number appears.\n\n6 appears 1 time.\n8 appears 2 times.\n9 appears 3 times.\n\nThe number that appears most often is 9.\n\nThe mode is 9.", "answer": "9", "table": "**Swings**\n\n| School | Number of swings |\n| --- | --- |\n| Boyd Elementary | 6 |\n| Valley Elementary | 9 |\n| Hillside Elementary | 8 |\n| Canyon Elementary | 9 |\n| Jefferson Elementary | 9 |\n| Newberry Elementary | 8 |" } ] }, { "id": "10849", "image": "10849.png", "conversations": [ { "from": "human", "question": "Patrick kept a driving log to see how many miles he drove each day. On which day did Patrick drive the most miles?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 19.\n\nNow find the corresponding day. Wednesday corresponds to 19.", "answer": "Wednesday", "table": "**Miles driven**\n\n| Day | Number of miles |\n| --- | --- |\n| Sunday | 15 |\n| Monday | 12 |\n| Tuesday | 13 |\n| Wednesday | 19 |" } ] }, { "id": "10858", "image": "10858.png", "conversations": [ { "from": "human", "question": "How much more does a pumpkin pie cost than a strawberry cheesecake?\n" }, { "from": "gpt", "solution": "Subtract the price of a strawberry cheesecake from the price of a pumpkin pie.\n\n$8.95 - $8.71 = $0.24\n\nA pumpkin pie costs $0.24 more than a strawberry cheesecake.", "answer": "0.24", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pumpkin pie | $8.95 |\n| almond tart | $8.12 |\n| cherry pie | $9.36 |\n| pineapple upside-down cake | $8.16 |\n| pecan pie | $5.13 |\n| strawberry cheesecake | $8.71 |" } ] }, { "id": "10862", "image": "10862.png", "conversations": [ { "from": "human", "question": "A dog show enthusiast recorded the weight of the winning dog at recent dog shows. According to the table, what was the rate of change between 2013 and 2014?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{37 kilograms - 31 kilograms}{2014 - 2013}\n = \\frac{37 kilograms - 31 kilograms}{1 year}\n = \\frac{6 kilograms}{1 year}\n = 6 kilograms per year\nThe rate of change between 2013 and 2014 was 6 kilograms per year.", "answer": "6", "table": "**Weight of winning dog at a dog show**\n\n| Year | Weight (kg) |\n| --- | --- |\n| 2013 | 31 |\n| 2014 | 37 |\n| 2015 | 36 |\n| 2016 | 37 |\n| 2017 | 18 |" } ] }, { "id": "10868", "image": "10868.png", "conversations": [ { "from": "human", "question": "Edna buys 1/10 of a kilogram of granite. What is the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the granite. Multiply the price per kilogram by the number of kilograms.\n$6 × \\frac{1}{10} = $6 × 0.1 = $0.60\nThe total cost is $0.60.", "answer": "0.60", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| quartz | $6/kilogram |\n| amethyst | $7/kilogram |\n| granite | $6/kilogram |\n| calcite | $7/kilogram |\n| topaz | $6/kilogram |\n| fool's gold | $5/kilogram |\n| tiger's eye | $6/kilogram |" } ] }, { "id": "10872", "image": "10872.png", "conversations": [ { "from": "human", "question": "A baseball player paid attention to how many baseballs he hit in practice each day. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n5, 5, 7, 8, 9\n\nFirst, arrange the numbers from least to greatest:\n\n5, 5, 7, 8, 9\n\nNow find the number in the middle.\n\n5, 5, 7, 8, 9\n\nThe number in the middle is 7.\n\nThe median is 7.", "answer": "7", "table": "**Baseballs hit**\n\n| Day | Number of baseballs |\n| --- | --- |\n| Thursday | 5 |\n| Friday | 5 |\n| Saturday | 7 |\n| Sunday | 8 |\n| Monday | 9 |" } ] }, { "id": "10878", "image": "10878.png", "conversations": [ { "from": "human", "question": "A soccer coach asked the members of his team how many times they played soccer last week. How many people played soccer exactly 4 times last week?\n" }, { "from": "gpt", "solution": "Find the row for 4 times and read the frequency. The frequency is 4.\n\n4 people played soccer exactly 4 times last week.", "answer": "4", "table": "**Playing soccer last week**\n\n| Times played | Frequency |\n| --- | --- |\n| 0 | 15 |\n| 1 | 17 |\n| 2 | 19 |\n| 3 | 2 |\n| 4 | 4 |" } ] }, { "id": "10883", "image": "10883.png", "conversations": [ { "from": "human", "question": "Each shopping bag has 2 pairs of jeans. How many pairs of jeans are in 5 shopping bags?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 10 pairs of jeans in 5 shopping bags.", "answer": "10", "table": "| Number of shopping bags | Number of pairs of jeans |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | 6 |\n| 4 | 8 |\n| 5 | ? |" } ] }, { "id": "10888", "image": "10888.png", "conversations": [ { "from": "human", "question": "The school district compared how many math teachers each high school has. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n8, 6, 10, 7, 9, 9, 7\n\nFirst, count how many numbers are in the group.\n\nThere are 7 numbers.\n\nNow add all the numbers together:\n\n8 + 6 + 10 + 7 + 9 + 9 + 7 = 56\n\nNow divide the sum by the number of numbers:\n\n56 ÷ 7 = 8\n\nThe mean is 8.", "answer": "8", "table": "**Math teachers**\n\n| High school | Number of math teachers |\n| --- | --- |\n| Hillview High | 8 |\n| Green High | 6 |\n| Thompson High | 10 |\n| Westside High | 7 |\n| Central High | 9 |\n| Northside High | 9 |\n| Lincoln High | 7 |" } ] }, { "id": "10897", "image": "10897.png", "conversations": [ { "from": "human", "question": "How much more does a ham and cheese omelette cost than a breakfast burrito?\n" }, { "from": "gpt", "solution": "Subtract the price of a breakfast burrito from the price of a ham and cheese omelette.\n\n$9.00 - $7.00 = $2.00\n\nA ham and cheese omelette costs $2.00 more than a breakfast burrito.", "answer": "2", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| poached eggs | $2.00 |\n| waffle with berries | $9.00 |\n| scrambled eggs | $6.00 |\n| ham and cheese omelette | $9.00 |\n| spinach omelette | $2.00 |\n| breakfast burrito | $7.00 |" } ] }, { "id": "10908", "image": "10908.png", "conversations": [ { "from": "human", "question": "The art club examined how many cookies each student baked for the bake sale. How many more cookies did Lorenzo bake than Pam?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nLorenzo: 772\nPam: 594\n\nNow subtract: 772 - 594 = 178.\n\nLorenzo baked 178 more cookies.", "answer": "178", "table": "**Cookies baked**\n\n| Name | Number of cookies |\n| --- | --- |\n| Pam | 594 |\n| Lorenzo | 772 |\n| Rhianna | 230 |\n| Henry | 412 |" } ] }, { "id": "10918", "image": "10918.png", "conversations": [ { "from": "human", "question": "The school district compared how many swings each elementary school has. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n10, 10, 15, 15, 6, 10, 6, 2\n\nFirst, arrange the numbers from least to greatest:\n\n2, 6, 6, 10, 10, 10, 15, 15\n\nNow count how many times each number appears.\n\n2 appears 1 time.\n6 appears 2 times.\n10 appears 3 times.\n15 appears 2 times.\n\nThe number that appears most often is 10.\n\nThe mode is 10.", "answer": "10", "table": "**Swings**\n\n| School | Number of swings |\n| --- | --- |\n| Hillside Elementary | 10 |\n| Newberry Elementary | 10 |\n| Sierra Elementary | 15 |\n| Roseville Elementary | 15 |\n| Canyon Elementary | 6 |\n| Boyd Elementary | 10 |\n| Valley Elementary | 6 |\n| Lincoln Elementary | 2 |" } ] }, { "id": "10939", "image": "10939.png", "conversations": [ { "from": "human", "question": "The bird watcher counted the number of birds in each flock that passed overhead. How many flocks had at least 10 birds but fewer than 30 birds?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1 and 2.\n\nYou counted 6 leaves, which are blue in the stem-and-leaf plot above. 6 flocks had at least 10 birds but fewer than 30 birds.", "answer": "6", "table": "**Birds per flock**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 1, 5 |\n| 2 | 1, 5, 9 |\n| 3 | 6, 7 |\n| 4 | |\n| 5 | |\n| 6 | 5, 9 |" } ] }, { "id": "10942", "image": "10942.png", "conversations": [ { "from": "human", "question": "Hanson wants to buy 4 kilograms of bananitos. How much will he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the bananitos. Multiply the price per kilogram by the number of kilograms.\n\n$1.03 × 4 = $4.12\n\nHe will spend $4.12.", "answer": "4.12", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pink bananas | $0.71/kg |\n| plantains | $0.70/kg |\n| bananitos | $1.03/kg |\n| yellow bananas | $0.83/kg |" } ] }, { "id": "10945", "image": "10945.png", "conversations": [ { "from": "human", "question": "Mona spent a week at the beach and recorded the number of shells she found each day. According to the table, what was the rate of change between Wednesday and Thursday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{2 shells - 3 shells}{1 day}\n = \\frac{-1 shells}{1 day}\n = -1 shells per day\nThe rate of change between Wednesday and Thursday was - 1 shells per day.", "answer": "-1", "table": "**Shells Mona found**\n\n| Day | Number of shells |\n| --- | --- |\n| Tuesday | 2 |\n| Wednesday | 3 |\n| Thursday | 2 |\n| Friday | 9 |\n| Saturday | 5 |" } ] }, { "id": "10954", "image": "10954.png", "conversations": [ { "from": "human", "question": "Gordon has two dogs, Sprinkles and Champ. He is concerned because Sprinkles keeps eating Champ's food. Gordon asks their vet how much each dog's weight has changed since their last visit. Which dog's weight has changed the most?\n" }, { "from": "gpt", "solution": "To find which dog's weight changed the most, use absolute value. Absolute value tells you how much each dog's weight has changed.\nSprinkles: |5| = 5\nChamp: |-6| = 6\nChamp's weight has changed the most. He has lost 6 ounces.", "answer": "Champ", "table": "| Dog | Weight change (oz.) |\n| --- | --- |\n| Sprinkles | 5 |\n| Champ | -6 |" } ] }, { "id": "10956", "image": "10956.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which stop does the bus depart from at 10.55 A.M.?\n" }, { "from": "gpt", "solution": "Find 10:55 A. M. on the schedule. The bus departs from the park at 10:55 A. M.", "answer": "park", "table": "**Hotel shuttle bus schedule**\n\n| Location | Arrive | Depart |\n| --- | --- | --- |\n| pizza place | 8:30 A.M. | 8:35 A.M. |\n| downtown | 9:05 A.M. | 9:20 A.M. |\n| amusement park | 10:10 A.M. | 10:15 A.M. |\n| hotel | 10:35 A.M. | 10:40 A.M. |\n| park | 10:45 A.M. | 10:55 A.M. |\n| airport | 11:10 A.M. | 11:25 A.M. |\n| baseball stadium | 11:40 A.M. | 11:50 A.M. |\n| Main Street | 12:25 P.M. | 12:40 P.M. |\n| football stadium | 1:00 P.M. | 1:15 P.M. |" } ] }, { "id": "10958", "image": "10958.png", "conversations": [ { "from": "human", "question": "The parks department compared how many basketball hoops there are at each park. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 10, 10, 9, 9, 7, 10, 10\n\nFirst, count how many numbers are in the group.\n\nThere are 8 numbers.\n\nNow add all the numbers together:\n\n7 + 10 + 10 + 9 + 9 + 7 + 10 + 10 = 72\n\nNow divide the sum by the number of numbers:\n\n72 ÷ 8 = 9\n\nThe mean is 9.", "answer": "9", "table": "**Basketball hoops**\n\n| Park | Number of basketball hoops |\n| --- | --- |\n| Otter Park | 7 |\n| Linden Park | 10 |\n| Mooreland Park | 10 |\n| Heron Park | 9 |\n| Pinehurst Park | 9 |\n| Canal Park | 7 |\n| Westfield Park | 10 |\n| Riverfront Park | 10 |" } ] }, { "id": "10959", "image": "10959.png", "conversations": [ { "from": "human", "question": "Meg has $0.11. Does she have enough to buy a small yellow button and a sewing needle?\n" }, { "from": "gpt", "solution": "Add the price of a small yellow button and the price of a sewing needle:\n\n$0.03 + $0.09 = $0.12\n\n$0.12 is more than $0.11. Meg does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| sewing needle | $0.09 |\n| small yellow button | $0.03 |\n| green pipe cleaner | $0.03 |\n| pair of googly eyes | $0.06 |\n| orange ribbon | $0.02 |" } ] }, { "id": "10968", "image": "10968.png", "conversations": [ { "from": "human", "question": "A transportation analyst compared various bridges' tolls. How much higher is the toll for a car on the Golden Gate bridge than on the Fort Madison bridge?\n" }, { "from": "gpt", "solution": "Find the Car column. Find the numbers in this column for Golden Gate and Fort Madison.\n\nGolden Gate: $6.00\nFort Madison: $1.00\n\nNow subtract:\n\n$6.00 − $1.00 = $5.00\n\nThe toll for a car is $5 more on the Golden Gate bridge than on the Fort Madison bridge.", "answer": "5", "table": "**Bridge tolls**\n\n| Bridge | Truck | Car |\n| --- | --- | --- |\n| Tacoma Narrows | $4 | $3 |\n| Golden Gate | $7 | $6 |\n| San Mateo | $6 | $4 |\n| Fort Madison | $4 | $1 |" } ] }, { "id": "10972", "image": "10972.png", "conversations": [ { "from": "human", "question": "Quincy's classmates revealed how many science articles they read. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 4, 9, 9, 7, 7, 10, 10\n\nFirst, arrange the numbers from least to greatest:\n\n4, 7, 7, 9, 9, 9, 10, 10\n\nNow count how many times each number appears.\n\n4 appears 1 time.\n7 appears 2 times.\n9 appears 3 times.\n10 appears 2 times.\n\nThe number that appears most often is 9.\n\nThe mode is 9.", "answer": "9", "table": "**Science articles read**\n\n| Name | Number of science articles |\n| --- | --- |\n| Quincy | 9 |\n| Carly | 4 |\n| Kinsley | 9 |\n| Alexandra | 9 |\n| Duncan | 7 |\n| Terrell | 7 |\n| Russell | 10 |\n| Shawn | 10 |" } ] }, { "id": "10973", "image": "10973.png", "conversations": [ { "from": "human", "question": "A county agency recorded the money donated to several charitable causes over time. How much more money was raised for parks in June than in May?\n" }, { "from": "gpt", "solution": "Find the Parks row. Find the numbers in this row for June and May.\n\nJune: $20.00\nMay: $16.00\n\nNow subtract:\n\n$20.00 − $16.00 = $4.00\n\n$4 more was raised for parks in June than in May.", "answer": "4", "table": "**Donations received**\n\n| Cause | May | June |\n| --- | --- | --- |\n| Animals | $2 | $11 |\n| Hunger | $1 | $17 |\n| Parks | $16 | $20 |" } ] }, { "id": "10983", "image": "10983.png", "conversations": [ { "from": "human", "question": "Denise's class tracked how many newspapers each student collected for their recycling project. Who collected the most newspapers?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 465.\n\nNow find the corresponding name. Denise corresponds to 465.", "answer": "Denise", "table": "**Newspapers collected**\n\n| Name | Number of newspapers |\n| --- | --- |\n| Denise | 465 |\n| Luna | 456 |\n| Rodrigo | 464 |\n| Edmond | 445 |" } ] }, { "id": "10985", "image": "10985.png", "conversations": [ { "from": "human", "question": "How much would it cost to buy 2 kilograms of blueberry jam?\n" }, { "from": "gpt", "solution": "Find the cost of the blueberry jam. Multiply the price per kilogram by the number of kilograms.\n\n$2 × 2 = $4\n\nIt would cost $4.", "answer": "4", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| blueberry jam | $2 per kg |\n| boysenberry jam | $3 per kg |\n| marmalade | $3 per kg |\n| raspberry jam | $3 per kg |" } ] }, { "id": "11006", "image": "11006.png", "conversations": [ { "from": "human", "question": "Wendy has $27. Does she have enough to buy a beach blanket and a pillow?\n" }, { "from": "gpt", "solution": "Add the price of a beach blanket and the price of a pillow:\n\n$11 + $14 = $25\n\n$25 is less than $27. Wendy does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| flannel sheet | $13 |\n| quilt | $24 |\n| beach towel | $11 |\n| pillow | $14 |\n| beach blanket | $11 |" } ] }, { "id": "11010", "image": "11010.png", "conversations": [ { "from": "human", "question": "How much more does a palm tree magnet cost than a plastic crab?\n" }, { "from": "gpt", "solution": "Subtract the price of a plastic crab from the price of a palm tree magnet.\n\n$0.65 - $0.46 = $0.19\n\nA palm tree magnet costs $0.19 more than a plastic crab.", "answer": "0.19", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pink flamingo pen | $0.14 |\n| beach postcard | $0.83 |\n| palm tree magnet | $0.65 |\n| plastic crab | $0.46 |" } ] }, { "id": "11011", "image": "11011.png", "conversations": [ { "from": "human", "question": "Irma has $0.14. How much money will Irma have left if she buys a brass clip and a flat-head bolt?\n" }, { "from": "gpt", "solution": "Find the total cost of a brass clip and a flat-head bolt.\n\n$0.03 + $0.06 = $0.09\n\nNow subtract the total cost from the starting amount.\n\n$0.14 - $0.09 = $0.05\n\nIrma will have $0.05 left.", "answer": "0.05", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| four-inch nail | $0.07 |\n| small metal hook | $0.09 |\n| brass clip | $0.03 |\n| flat-head bolt | $0.06 |" } ] }, { "id": "11015", "image": "11015.png", "conversations": [ { "from": "human", "question": "The train conductor made sure to count the number of passengers on each train. How many trains had at least 20 passengers?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 2, 3, 4, 5, and 6.\n\nYou counted 5 leaves, which are blue in the stem-and-leaf plot above. 5 trains had at least 20 passengers.", "answer": "5", "table": "**Passengers per train**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 2, 5, 6 |\n| 2 | 8 |\n| 3 | 4 |\n| 4 | 5 |\n| 5 | |\n| 6 | 1, 1 |" } ] }, { "id": "11024", "image": "11024.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does diving club practice begin?\n" }, { "from": "gpt", "solution": "Find diving club practice on the schedule. Find the beginning time for diving club practice.\n\ndiving club practice: 11:20 A. M.", "answer": "11:20 A.M.", "table": "**Swimming pool schedule**\n\n| Activity | Begin | End |\n| --- | --- | --- |\n| water aerobics | 8:45 A.M. | 9:40 A.M. |\n| family swim | 9:50 A.M. | 11:05 A.M. |\n| diving club practice | 11:20 A.M. | 12:40 P.M. |\n| swim team practice | 12:50 P.M. | 2:10 P.M. |\n| water polo practice | 2:15 P.M. | 3:35 P.M. |" } ] }, { "id": "11025", "image": "11025.png", "conversations": [ { "from": "human", "question": "Ruth's Candies has been studying how much chocolate people have been eating in different countries. Which country consumed less chocolate per capita in 2005, Austria or Germany?\n" }, { "from": "gpt", "solution": "Find the 2005 column. Compare the numbers in this column for Austria and Germany.\n\n9 is less than 11. Austria consumed less chocolate per capita in 2005.", "answer": "Austria", "table": "**Chocolate consumption per capita (kg)**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 2002 | 2005 |\n| Norway | 8 | 9 |\n| Denmark | 9 | 8 |\n| Austria | 8 | 9 |\n| Germany | 10 | 11 |" } ] }, { "id": "11031", "image": "11031.png", "conversations": [ { "from": "human", "question": "A farm equipment company kept a record of the number of tractors made each month. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n8, 6, 11, 6, 18, 11, 6, 18\n\nFirst, arrange the numbers from least to greatest:\n\n6, 6, 6, 8, 11, 11, 18, 18\n\nNow count how many times each number appears.\n\n6 appears 3 times.\n8 appears 1 time.\n11 appears 2 times.\n18 appears 2 times.\n\nThe number that appears most often is 6.\n\nThe mode is 6.", "answer": "6", "table": "**Tractors made**\n\n| Month | Number of tractors |\n| --- | --- |\n| August | 8 |\n| September | 6 |\n| October | 11 |\n| November | 6 |\n| December | 18 |\n| January | 11 |\n| February | 6 |\n| March | 18 |" } ] }, { "id": "11033", "image": "11033.png", "conversations": [ { "from": "human", "question": "Monica went to the store and bought 4 pounds of large binder clips and 2 pounds of small binder clips. How much did she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the large binder clips. Multiply:\n\n$5 × 4 = $20\n\nFind the cost of the small binder clips. Multiply:\n\n$6 × 2 = $12\n\nNow find the total cost by adding:\n\n$20 + $12 = $32\n\nShe spent $32.", "answer": "32", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| small binder clips | $6 per pound |\n| jumbo binder clips | $4 per pound |\n| standard paper clips | $6 per pound |\n| large binder clips | $5 per pound |" } ] }, { "id": "11038", "image": "11038.png", "conversations": [ { "from": "human", "question": "Joy has $14.09. How much money will Joy have left if she buys a bag of birdseed and a bag of dog food?\n" }, { "from": "gpt", "solution": "Find the total cost of a bag of birdseed and a bag of dog food.\n\n$1.23 + $5.91 = $7.14\n\nNow subtract the total cost from the starting amount.\n\n$14.09 - $7.14 = $6.95\n\nJoy will have $6.95 left.", "answer": "6.95", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| bag of birdseed | $1.23 |\n| jar of fish food | $3.00 |\n| cat toy | $1.15 |\n| bag of dog food | $5.91 |" } ] }, { "id": "11040", "image": "11040.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Haley is at Ocean City at 9.45 A.M. How soon can she get to Surfing Beach?\n" }, { "from": "gpt", "solution": "Look at the row for Ocean City. Find the next boat departing from Ocean City after 9:45 A. M. This boat departs from Ocean City at 10:00 A. M.\n\nLook down the column until you find the row for Surfing Beach.\n\nHaley will get to Surfing Beach at 1:45 P. M.", "answer": "1:45 P.M.", "table": "**Tour boat schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 | Column 5 | Column 6 |\n| --- | --- | --- | --- | --- | --- |\n| Ocean City | 8:15 A.M. | 9:00 A.M. | 9:15 A.M. | 9:30 A.M. | 10:00 A.M. |\n| Whale Watch Harbor | 9:30 A.M. | 10:15 A.M. | 10:30 A.M. | 10:45 A.M. | 11:15 A.M. |\n| Oyster Lighthouse | 10:15 A.M. | 11:00 A.M. | 11:15 A.M. | 11:30 A.M. | 12:00 P.M. |\n| Fisherman's Cove | 11:15 A.M. | 12:00 P.M. | 12:15 P.M. | 12:30 P.M. | 1:00 P.M. |\n| Surfing Beach | 12:00 P.M. | 12:45 P.M. | 1:00 P.M. | 1:15 P.M. | 1:45 P.M. |" } ] }, { "id": "11043", "image": "11043.png", "conversations": [ { "from": "human", "question": "Lorenzo looked at his calendar to figure out how much time he spent babysitting each month. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n41, 44, 42, 39, 37, 48, 52\n\nFirst, arrange the numbers from least to greatest:\n\n37, 39, 41, 42, 44, 48, 52\n\nNow find the number in the middle.\n\n37, 39, 41, 42, 44, 48, 52\n\nThe number in the middle is 42.\n\nThe median is 42.", "answer": "42", "table": "**Hours of babysitting**\n\n| Month | Hours |\n| --- | --- |\n| February | 41 |\n| March | 44 |\n| April | 42 |\n| May | 39 |\n| June | 37 |\n| July | 48 |\n| August | 52 |" } ] }, { "id": "11044", "image": "11044.png", "conversations": [ { "from": "human", "question": "Chase wants to buy 4 kilograms of oval beads and 5 kilograms of star-shaped beads. How much will he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the oval beads. Multiply:\n\n$2 × 4 = $8\n\nFind the cost of the star-shaped beads. Multiply:\n\n$2 × 5 = $10\n\nNow find the total cost by adding:\n\n$8 + $10 = $18\n\nHe will spend $18.", "answer": "18", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| oval beads | $2/kilogram |\n| rectangular beads | $3/kilogram |\n| star-shaped beads | $2/kilogram |\n| spherical beads | $2/kilogram |\n| heart-shaped beads | $3/kilogram |\n| square beads | $2/kilogram |\n| flower-shaped beads | $2/kilogram |" } ] }, { "id": "11057", "image": "11057.png", "conversations": [ { "from": "human", "question": "The members of the cycling club compared how many miles they biked last week. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n85, 81, 84, 81, 84\n\nFirst, count how many numbers are in the group.\n\nThere are 5 numbers.\n\nNow add all the numbers together:\n\n85 + 81 + 84 + 81 + 84 = 415\n\nNow divide the sum by the number of numbers:\n\n415 ÷ 5 = 83\n\nThe mean is 83.", "answer": "83", "table": "**Biking last week**\n\n| Name | Miles |\n| --- | --- |\n| Lucas | 85 |\n| Jenna | 81 |\n| Raymond | 84 |\n| Valentina | 81 |\n| Samuel | 84 |" } ] }, { "id": "11059", "image": "11059.png", "conversations": [ { "from": "human", "question": "Hannah has $179.00. How much money will Hannah have left if she buys a scorpion and a chinchilla?\n" }, { "from": "gpt", "solution": "Find the total cost of a scorpion and a chinchilla.\n\n$67.00 + $57.00 = $124.00\n\nNow subtract the total cost from the starting amount.\n\n$179.00 - $124.00 = $55.00\n\nHannah will have $55.00 left.", "answer": "55", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| king snake | $97.00 |\n| pot-bellied pig | $51.00 |\n| tarantula | $35.00 |\n| chinchilla | $57.00 |\n| cockatoo | $11.00 |\n| scorpion | $67.00 |" } ] }, { "id": "11061", "image": "11061.png", "conversations": [ { "from": "human", "question": "A science teacher presented a balloon to her class, and posed the question, \"If I keep this balloon in the freezer overnight, what will occur?\" She followed up with, \"How certain are you of your answer?\" The teacher recorded her students' responses. What is the probability that a randomly selected student was certain and believes the balloon will stay the same? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the student was certain\" and B be the event \"the student believes the balloon will stay the same\".\nTo find the probability that a student was certain and believes the balloon will stay the same, first identify the sample space and the event.\nThe outcomes in the sample space are the different students. Each student is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the student was certain and believes the balloon will stay the same\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the student was certain and believes the balloon will stay the same\", so look at the table to see how many students were certain and believe the balloon will stay the same.\nThe number of students who were certain and believe the balloon will stay the same is 5.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of students.\n4 + 3 + 5 + 1 = 13\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{5}{13}\nThe probability that a student was certain and believes the balloon will stay the same is \\frac{5}{13}.", "answer": "5/13", "table": "| | Shrink | Stay the same |\n| --- | --- | --- |\n| Certain | 4 | 5 |\n| Uncertain | 3 | 1 |" } ] }, { "id": "11064", "image": "11064.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Carson is at Georgetown at 10.00 A.M. How soon can he get to Winchester?\n" }, { "from": "gpt", "solution": "Look at the row for Georgetown. Find the next train departing from Georgetown after 10:00 A. M. This train departs from Georgetown at 10:15 A. M.\n\nLook down the column until you find the row for Winchester.\n\nCarson will get to Winchester at 11:45 A. M.", "answer": "11:45 A.M.", "table": "**Train schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 | Column 5 | Column 6 |\n| --- | --- | --- | --- | --- | --- |\n| Georgetown | 9:45 A.M. | 10:15 A.M. | 10:30 A.M. | 10:45 A.M. | 11:00 A.M. |\n| Newberg | 10:30 A.M. | 11:00 A.M. | 11:15 A.M. | 11:30 A.M. | 11:45 A.M. |\n| Winchester | 11:15 A.M. | 11:45 A.M. | 12:00 P.M. | 12:15 P.M. | 12:30 P.M. |\n| Springfield | 12:30 P.M. | 1:00 P.M. | 1:15 P.M. | 1:30 P.M. | 1:45 P.M. |\n| Wildgrove | 1:00 P.M. | 1:30 P.M. | 1:45 P.M. | 2:00 P.M. | 2:15 P.M. |" } ] }, { "id": "11066", "image": "11066.png", "conversations": [ { "from": "human", "question": "A candy dispenser put various numbers of orange candies into bags. How many bags had at least 20 orange candies?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 2, 3, 4, 5, 6, and 7.\n\nYou counted 8 leaves, which are blue in the stem-and-leaf plot above. 8 bags had at least 20 orange candies.", "answer": "8", "table": "**Orange candies per bag**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 6 |\n| 2 | 1, 8 |\n| 3 | 8 |\n| 4 | 0 |\n| 5 | 9 |\n| 6 | 7, 9 |\n| 7 | 8 |" } ] }, { "id": "11076", "image": "11076.png", "conversations": [ { "from": "human", "question": "How much money does Mia need to buy a bearded dragon, a pot-bellied pig, and a finch?\n" }, { "from": "gpt", "solution": "Find the total cost of a bearded dragon, a pot-bellied pig, and a finch.\n\n$176 + $130 + $183 = $489\n\nMia needs $489.", "answer": "489", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| finch | $183 |\n| pot-bellied pig | $130 |\n| king snake | $264 |\n| hedgehog | $196 |\n| bearded dragon | $176 |" } ] }, { "id": "11078", "image": "11078.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $1,150, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $1,150, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $1,000 | 16,700 | 13,400 |\n| $1,150 | 12,900 | 14,200 |\n| $1,300 | 9,100 | 15,000 |\n| $1,450 | 5,300 | 15,800 |\n| $1,600 | 1,500 | 16,600 |" } ] }, { "id": "11082", "image": "11082.png", "conversations": [ { "from": "human", "question": "Look at this table. Is this relation a function?\n" }, { "from": "gpt", "solution": "Look at the x-values in the table.\n\nEach of the x-values is paired with only one y-value, so the relation is a function.", "answer": "yes", "table": "| x | y |\n| --- | --- |\n| 10 | 9 |\n| 19 | 7 |\n| 12 | 3 |" } ] }, { "id": "11089", "image": "11089.png", "conversations": [ { "from": "human", "question": "A concession stand worker at the movie theater looked up how many bags of popcorn were sold in the past 3 days. How many more bags of popcorn did the movie theater sell on Tuesday than on Monday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nTuesday: 659\nMonday: 286\n\nNow subtract: 659 - 286 = 373.\n\nThe movie theater sold 373 more bags of popcorn on Tuesday.", "answer": "373", "table": "**Bags of popcorn sold**\n\n| Day | Number of bags of popcorn |\n| --- | --- |\n| Sunday | 160 |\n| Monday | 286 |\n| Tuesday | 659 |" } ] }, { "id": "11094", "image": "11094.png", "conversations": [ { "from": "human", "question": "How much money does Megan need to buy a piece of red and purple stationery and a sheet of shiny silver paper?\n" }, { "from": "gpt", "solution": "Add the price of a piece of red and purple stationery and the price of a sheet of shiny silver paper:\n\n$0.04 + $0.02 = $0.06\n\nMegan needs $0.06.", "answer": "0.06", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| sheet of shiny silver paper | $0.02 |\n| piece of striped paper | $0.03 |\n| bright blue note card | $0.04 |\n| piece of elegant stationery | $0.08 |\n| piece of pink paper | $0.02 |\n| piece of red and purple stationery | $0.04 |" } ] }, { "id": "11096", "image": "11096.png", "conversations": [ { "from": "human", "question": "Emmett counted the number of silver beads on each bracelet at Danville Jewelry, the store where he works. How many bracelets had at least 50 silver beads but fewer than 90 silver beads?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 5, 6, 7, and 8.\n\nYou counted 18 leaves, which are blue in the stem-and-leaf plot above. 18 bracelets had at least 50 silver beads but fewer than 90 silver beads.", "answer": "18", "table": "**Silver beads per bracelet**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 0, 1, 2, 6, 8 |\n| 5 | 2, 5, 5, 6, 9 |\n| 6 | 1, 5, 6, 8, 8 |\n| 7 | 1, 1, 3, 4, 7, 8, 9 |\n| 8 | 5 |" } ] }, { "id": "11101", "image": "11101.png", "conversations": [ { "from": "human", "question": "Each pile has 5 magazines. How many magazines are in 5 piles?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 25 magazines in 5 piles.", "answer": "25", "table": "| Number of piles | Number of magazines |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | 20 |\n| 5 | ? |" } ] }, { "id": "11111", "image": "11111.png", "conversations": [ { "from": "human", "question": "How much money does Tracy need to buy a spiral snail shell and a pink and white striped shell?\n" }, { "from": "gpt", "solution": "Add the price of a spiral snail shell and the price of a pink and white striped shell:\n\n$0.45 + $0.91 = $1.36\n\nTracy needs $1.36.", "answer": "1.36", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pink conch shell | $0.97 |\n| spiral snail shell | $0.45 |\n| oyster shell | $0.89 |\n| purple clam shell | $0.44 |\n| pink and white striped shell | $0.91 |\n| dark gray shell | $0.65 |" } ] }, { "id": "11113", "image": "11113.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which event ends at 4.05 P.M.?\n" }, { "from": "gpt", "solution": "Find 4:05 P. M. on the schedule. The speech team meeting ends at 4:05 P. M.", "answer": "speech team meeting", "table": "**High school schedule**\n\n| Event | Begin | End |\n| --- | --- | --- |\n| women's basketball practice | 2:00 P.M. | 3:05 P.M. |\n| speech team meeting | 2:40 P.M. | 4:05 P.M. |\n| wrestling practice | 3:40 P.M. | 5:15 P.M. |\n| men's basketball game | 5:05 P.M. | 6:40 P.M. |\n| French club meeting | 6:10 P.M. | 7:30 P.M. |\n| debate team meeting | 7:15 P.M. | 8:00 P.M. |" } ] }, { "id": "11119", "image": "11119.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Sharon just missed the 11.00 A.M. bus at the baseball stadium. How long does she have to wait until the next bus?\n" }, { "from": "gpt", "solution": "Find 11:00 A. M. in the row for the baseball stadium.\n\nLook for the next bus in that row.\n\nThe next bus is at 12:30 P. M.\n\nFind the elapsed time. The elapsed time is 1 hour and 30 minutes.", "answer": "1 hour and 30 minutes", "table": "**Hotel shuttle bus schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 |\n| --- | --- | --- | --- |\n| hotel | 8:45 A.M. | 9:00 A.M. | 10:30 A.M. |\n| art museum | 9:15 A.M. | 9:30 A.M. | 11:00 A.M. |\n| amusement park | 10:00 A.M. | 10:15 A.M. | 11:45 A.M. |\n| baseball stadium | 10:45 A.M. | 11:00 A.M. | 12:30 P.M. |\n| boat docks | 11:15 A.M. | 11:30 A.M. | 1:00 P.M. |\n| college campus | 11:45 A.M. | 12:00 P.M. | 1:30 P.M. |\n| park | 12:15 P.M. | 12:30 P.M. | 2:00 P.M. |\n| pizza place | 1:00 P.M. | 1:15 P.M. | 2:45 P.M. |" } ] }, { "id": "11123", "image": "11123.png", "conversations": [ { "from": "human", "question": "Walter has $725.00. Does he have enough to buy a barometer and a pipette?\n" }, { "from": "gpt", "solution": "Add the price of a barometer and the price of a pipette:\n\n$221.00 + $490.00 = $711.00\n\n$711.00 is less than $725.00. Walter does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pipette | $490.00 |\n| barometer | $221.00 |\n| telescope | $402.00 |\n| case of beakers | $363.00 |\n| case of test tubes | $277.00 |\n| hot plate | $484.00 |" } ] }, { "id": "11130", "image": "11130.png", "conversations": [ { "from": "human", "question": "How much money does Stefan need to buy a European vacation package and an Australian vacation package?\n" }, { "from": "gpt", "solution": "Add the price of a European vacation package and the price of an Australian vacation package:\n\n$8,830 + $7,221 = $16,051\n\nStefan needs $16,051.", "answer": "16,051", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| Caribbean vacation package | $3,067 |\n| Hawaiian vacation package | $9,919 |\n| European vacation package | $8,830 |\n| Australian vacation package | $7,221 |\n| African safari vacation package | $2,180 |\n| Jamaican vacation package | $3,400 |" } ] }, { "id": "11135", "image": "11135.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Alice got on the train at Happy Cow Farm at 12.15 A.M. What time will she get to Magician Village?\n" }, { "from": "gpt", "solution": "Find 12:15 A. M. in the row for Happy Cow Farm. That column shows the schedule for the train that Alice is on.\n\nLook down the column until you find the row for Magician Village.\n\nAlice will get to Magician Village at 1:45 A. M.", "answer": "1:45 A.M.", "table": "**Train schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 | Column 5 |\n| --- | --- | --- | --- | --- |\n| Comfy Pillows Resort | 8:15 P.M. | 10:45 P.M. | 11:15 P.M. | 11:30 P.M. |\n| Happy Cow Farm | 9:00 P.M. | 11:30 P.M. | 12:00 A.M. | 12:15 A.M. |\n| City of Green Trees | 9:30 P.M. | 12:00 A.M. | 12:30 A.M. | 12:45 A.M. |\n| Chickenville | 10:00 P.M. | 12:30 A.M. | 1:00 A.M. | 1:15 A.M. |\n| Magician Village | 10:30 P.M. | 1:00 A.M. | 1:30 A.M. | 1:45 A.M. |" } ] }, { "id": "11136", "image": "11136.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{7 - 12}{13 - 12}\n = \\frac{-5}{1}\n = -5\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{0 - 7}{14 - 13}\n = \\frac{-7}{1}\n = -7\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 12 | 12 |\n| 13 | 7 |\n| 14 | 0 |" } ] }, { "id": "11147", "image": "11147.png", "conversations": [ { "from": "human", "question": "A magazine editor looked at his sales figures for the past 4 months. How many more copies were sold in January than in February?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nJanuary: 7,643\nFebruary: 6,576\n\nNow subtract: 7,643 - 6,576 = 1,067.\n\n1,067 more copies were sold in January.", "answer": "1,067", "table": "**Magazines sold**\n\n| Month | Number of magazines |\n| --- | --- |\n| December | 8,763 |\n| January | 7,643 |\n| February | 6,576 |\n| March | 5,016 |" } ] }, { "id": "11149", "image": "11149.png", "conversations": [ { "from": "human", "question": "Bill has $0.22. How much money will Bill have left if he buys a sheet of blue and yellow paper and a sheet of shiny silver paper?\n" }, { "from": "gpt", "solution": "Find the total cost of a sheet of blue and yellow paper and a sheet of shiny silver paper.\n\n$0.07 + $0.08 = $0.15\n\nNow subtract the total cost from the starting amount.\n\n$0.22 - $0.15 = $0.07\n\nBill will have $0.07 left.", "answer": "0.07", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| piece of red and purple stationery | $0.07 |\n| sheet of shiny silver paper | $0.08 |\n| white note card | $0.01 |\n| sheet of blue and yellow paper | $0.07 |" } ] }, { "id": "11150", "image": "11150.png", "conversations": [ { "from": "human", "question": "Raymond kept a driving log to see how many miles he drove each day. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n2, 9, 4, 5, 6, 10, 6\n\nFirst, arrange the numbers from least to greatest:\n\n2, 4, 5, 6, 6, 9, 10\n\nNow find the number in the middle.\n\n2, 4, 5, 6, 6, 9, 10\n\nThe number in the middle is 6.\n\nThe median is 6.", "answer": "6", "table": "**Miles driven**\n\n| Day | Number of miles |\n| --- | --- |\n| Monday | 2 |\n| Tuesday | 9 |\n| Wednesday | 4 |\n| Thursday | 5 |\n| Friday | 6 |\n| Saturday | 10 |\n| Sunday | 6 |" } ] }, { "id": "11166", "image": "11166.png", "conversations": [ { "from": "human", "question": "Erin paid attention to how many flowers she planted in the garden during the past 5 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n48, 49, 49, 49, 50\n\nFirst, find the greatest number. The greatest number is 50.\n\nNext, find the least number. The least number is 48.\n\nSubtract the least number from the greatest number:\n\n50 − 48 = 2\n\nThe range is 2.", "answer": "2", "table": "**Flowers plants**\n\n| Day | Number of flowers |\n| --- | --- |\n| Wednesday | 48 |\n| Thursday | 49 |\n| Friday | 49 |\n| Saturday | 49 |\n| Sunday | 50 |" } ] }, { "id": "11167", "image": "11167.png", "conversations": [ { "from": "human", "question": "In a study on public parking, the director of transportation counted the number of cars in each of the city's parking lots. What is the smallest number of cars?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 2.\n\nNow find the lowest leaf in the first row. The lowest leaf is 6.\n\nThe smallest number of cars has a stem of 2 and a leaf of 6. Write the stem first, then the leaf: 26.\n\nThe smallest number of cars is 26 cars.", "answer": "26", "table": "**Cars per parking lot**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 6 |\n| 3 | 4, 6, 9 |\n| 4 | 9 |\n| 5 | 1, 5 |\n| 6 | 3, 6, 7, 8 |\n| 7 | |\n| 8 | 2, 3 |\n| 9 | 0 |" } ] }, { "id": "11174", "image": "11174.png", "conversations": [ { "from": "human", "question": "Emmett's class recorded how many cans of food each student collected for their canned food drive. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n8, 7, 10, 9, 9, 5, 8\n\nFirst, arrange the numbers from least to greatest:\n\n5, 7, 8, 8, 9, 9, 10\n\nNow find the number in the middle.\n\n5, 7, 8, 8, 9, 9, 10\n\nThe number in the middle is 8.\n\nThe median is 8.", "answer": "8", "table": "**Cans of food collected**\n\n| Name | Number of cans of food |\n| --- | --- |\n| Emmett | 8 |\n| Luther | 7 |\n| Bruce | 10 |\n| Scott | 9 |\n| Mabel | 9 |\n| Roxanne | 5 |\n| Kevin | 8 |" } ] }, { "id": "11179", "image": "11179.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Jen just missed the 6.15 P.M. train at Chickenville. What time is the next train?\n" }, { "from": "gpt", "solution": "Find 6:15 P. M. in the row for Chickenville.\n\nLook for the next train in that row.\n\nThe next train is at 10:15 P. M.", "answer": "10:15 P.M.", "table": "**Train schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 | Column 5 |\n| --- | --- | --- | --- | --- |\n| Happy Cow Farm | 8:00 A.M. | 8:30 A.M. | 4:00 P.M. | 8:00 P.M. |\n| Magician Village | 8:45 A.M. | 9:15 A.M. | 4:45 P.M. | 8:45 P.M. |\n| Rocky Ravine Town | 9:15 A.M. | 9:45 A.M. | 5:15 P.M. | 9:15 P.M. |\n| Chickenville | 10:15 A.M. | 10:45 A.M. | 6:15 P.M. | 10:15 P.M. |\n| Gecko Paradise | 11:00 A.M. | 11:30 A.M. | 7:00 P.M. | 11:00 P.M. |" } ] }, { "id": "11181", "image": "11181.png", "conversations": [ { "from": "human", "question": "Bonnie bought 4.2 pounds of green Anjou pears. How much did she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the green Anjou pears. Multiply the price per pound by the number of pounds.\n$4 × 4.2 = $16.80\nShe spent $16.80.", "answer": "16.80", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| green Anjou pears | $4 per pound |\n| Concorde pears | $3 per pound |\n| Bartlett pears | $5 per pound |\n| Osband pears | $5 per pound |" } ] }, { "id": "11191", "image": "11191.png", "conversations": [ { "from": "human", "question": "A volunteer for the local running club counted the number of participants at each race. How many races had at least 41 participants?\n" }, { "from": "gpt", "solution": "Find the row with stem 4. Count all the leaves greater than or equal to 1.\n\nCount all the leaves in the rows with stems 5, 6, and 7.\n\nYou counted 7 leaves, which are blue in the stem-and-leaf plots above. 7 races had at least 41 participants.", "answer": "7", "table": "**Participants per race**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4, 8 |\n| 3 | |\n| 4 | 2, 8 |\n| 5 | 5, 8, 9 |\n| 6 | 8 |\n| 7 | 3 |" } ] }, { "id": "11192", "image": "11192.png", "conversations": [ { "from": "human", "question": "A researcher recorded the number of cows on each farm in the county. How many farms have at least 60 cows but fewer than 100 cows?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 6, 7, 8, and 9.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 farms have at least 60 cows but fewer than 100 cows.", "answer": "4", "table": "**Cows per farm**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 9 |\n| 2 | 0 |\n| 3 | 0, 5 |\n| 4 | |\n| 5 | 5 |\n| 6 | 7 |\n| 7 | 1 |\n| 8 | 7 |\n| 9 | 0 |" } ] }, { "id": "11193", "image": "11193.png", "conversations": [ { "from": "human", "question": "Each package has 2 beads. How many beads are in 4 packages?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 8 beads in 4 packages.", "answer": "8", "table": "| Number of packages | Number of beads |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | 6 |\n| 4 | ? |" } ] }, { "id": "11197", "image": "11197.png", "conversations": [ { "from": "human", "question": "How much money does Pamela need to buy a designer skirt and a pair of designer shoes?\n" }, { "from": "gpt", "solution": "Add the price of a designer skirt and the price of a pair of designer shoes:\n\n$153.00 + $881.00 = $1,034.00\n\nPamela needs $1,034.00.", "answer": "1,034", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| designer scarf | $166.00 |\n| designer skirt | $153.00 |\n| pair of designer shoes | $881.00 |\n| pair of designer boots | $820.00 |" } ] }, { "id": "11204", "image": "11204.png", "conversations": [ { "from": "human", "question": "A volunteer for the local running club counted the number of participants at each race. How many races had at least 50 participants but fewer than 80 participants?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 5, 6, and 7.\n\nYou counted 5 leaves, which are blue in the stem-and-leaf plot above. 5 races had at least 50 participants but fewer than 80 participants.", "answer": "5", "table": "**Participants per race**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1, 2 |\n| 2 | 4 |\n| 3 | 1, 5, 7 |\n| 4 | 8 |\n| 5 | 4, 7, 8 |\n| 6 | 3 |\n| 7 | 6 |" } ] }, { "id": "11207", "image": "11207.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. At which stop does the train arrive at 3.10 P.M.?\n" }, { "from": "gpt", "solution": "Find 3:10 P. M. on the schedule. The train arrives at Newton at 3:10 P. M.", "answer": "Newton", "table": "**Train schedule**\n\n| Location | Arrive | Depart |\n| --- | --- | --- |\n| Hampton | 1:40 A.M. | 2:05 A.M. |\n| Lowell | 3:10 A.M. | 3:25 A.M. |\n| Springdale | 4:55 A.M. | 5:10 A.M. |\n| Newport | 6:40 A.M. | 7:10 A.M. |\n| Kingwood | 8:25 A.M. | 8:55 A.M. |\n| Rockport | 9:50 A.M. | 10:00 A.M. |\n| Belleville | 11:20 A.M. | 11:40 A.M. |\n| Booneville | 12:35 P.M. | 12:45 P.M. |\n| Greenville | 2:10 P.M. | 2:20 P.M. |\n| Newton | 3:10 P.M. | 3:40 P.M. |" } ] }, { "id": "11208", "image": "11208.png", "conversations": [ { "from": "human", "question": "A customer at a sushi restaurant was examining the types of sushi rolls offered on the menu. Rolls vary by type of fish and level of spiciness. Rolls only contain one type of fish. What is the probability that a randomly selected sushi roll contains salmon and is labeled not spicy? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the sushi roll contains salmon\" and B be the event \"the sushi roll is labeled not spicy\".\nTo find the probability that a sushi roll contains salmon and is labeled not spicy, first identify the sample space and the event.\nThe outcomes in the sample space are the different sushi rolls. Each sushi roll is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the sushi roll contains salmon and is labeled not spicy\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the sushi roll contains salmon and is labeled not spicy\", so look at the table to see how many sushi rolls contain salmon and are labeled not spicy.\nThe number of sushi rolls that contain salmon and are labeled not spicy is 4.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of sushi rolls.\n1 + 4 + 3 + 3 = 11\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{4}{11}\nThe probability that a sushi roll contains salmon and is labeled not spicy is \\frac{4}{11}.", "answer": "4/11", "table": "| | Not spicy | A little spicy |\n| --- | --- | --- |\n| Yellowtail | 1 | 3 |\n| Salmon | 4 | 3 |" } ] }, { "id": "11209", "image": "11209.png", "conversations": [ { "from": "human", "question": "A newspaper researched how many grocery stores there are in each town. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n8, 7, 8, 10, 8, 7, 10\n\nFirst, arrange the numbers from least to greatest:\n\n7, 7, 8, 8, 8, 10, 10\n\nNow count how many times each number appears.\n\n7 appears 2 times.\n8 appears 3 times.\n10 appears 2 times.\n\nThe number that appears most often is 8.\n\nThe mode is 8.", "answer": "8", "table": "**Grocery stores in each town**\n\n| Town | Number of stores |\n| --- | --- |\n| Chesterton | 8 |\n| Springfield | 7 |\n| Watertown | 8 |\n| Riverside | 10 |\n| Ashland | 8 |\n| Greenwood | 7 |\n| Mayfield | 10 |" } ] }, { "id": "11211", "image": "11211.png", "conversations": [ { "from": "human", "question": "Joy kept a tally of the number of emails she received each day for a week. According to the table, what was the rate of change between Monday and Tuesday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{5 emails - 6 emails}{1 day}\n = \\frac{-1 emails}{1 day}\n = -1 emails per day\nThe rate of change between Monday and Tuesday was - 1 emails per day.", "answer": "-1", "table": "**Emails Joy received**\n\n| Day | Emails |\n| --- | --- |\n| Sunday | 7 |\n| Monday | 6 |\n| Tuesday | 5 |\n| Wednesday | 2 |\n| Thursday | 1 |" } ] }, { "id": "11213", "image": "11213.png", "conversations": [ { "from": "human", "question": "A technical support line tracked how many calls it received each day. How many calls total did the support line receive on Tuesday and Thursday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nTuesday: 4,279\nThursday: 1,406\n\nNow add: 4,279 + 1,406 = 5,685.\n\nThe support line received 5,685 calls on Tuesday and Thursday.", "answer": "5,685", "table": "**Phone calls received**\n\n| Day | Number of calls |\n| --- | --- |\n| Monday | 4,560 |\n| Tuesday | 4,279 |\n| Wednesday | 2,988 |\n| Thursday | 1,406 |\n| Friday | 1,192 |" } ] }, { "id": "11214", "image": "11214.png", "conversations": [ { "from": "human", "question": "A beauty salon in Richmond has five beauticians and keeps track of how often clients request each one specifically. What fraction of requests were for Shelley? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many clients requested Shelley.\n\n560\n\nFind how many requests were made in total.\n\n560 + 600 + 630 + 860 + 630 = 3,280\n\nDivide 560 by 3,280.\n\n\\frac{560}{3,280}\n\nReduce the fraction.\n\n\\frac{560}{3,280} → \\frac{7}{41}\n\n\\frac{7}{41} of clients requested Shelley.", "answer": "7/41", "table": "**Beautician requests**\n\n| Beautician | Requests |\n| --- | --- |\n| Shelley | 560 |\n| Lexi | 600 |\n| Elise | 630 |\n| Kamal | 860 |\n| Joe | 630 |" } ] }, { "id": "11216", "image": "11216.png", "conversations": [ { "from": "human", "question": "During Fitness Day at school, Katie and her classmates took part in a pull-up competition, keeping track of the results. What is the smallest number of pull-ups done?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 1.\n\nNow find the lowest leaf in the first row. The lowest leaf is 0.\n\nThe smallest number of pull-ups done has a stem of 1 and a leaf of 0. Write the stem first, then the leaf: 10.\n\nThe smallest number of pull-ups done is 10 pull-ups.", "answer": "10", "table": "**Pull-up competition (number of pull-ups)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 1 |\n| 2 | 4, 7 |\n| 3 | |\n| 4 | 4, 7, 8 |\n| 5 | 2, 3, 3, 7 |\n| 6 | 1, 3 |\n| 7 | 6, 8 |\n| 8 | 5, 6 |" } ] }, { "id": "11222", "image": "11222.png", "conversations": [ { "from": "human", "question": "Each year the Lakewood School District publishes its annual budget, which includes information on the sports program's per-student spending. According to the table, what was the rate of change between 2012 and 2013?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{$23 - $14}{2013 - 2012}\n = \\frac{$23 - $14}{1 year}\n = \\frac{$9}{1 year}\n = $9 per year\nThe rate of change between 2012 and 2013 was $9 per year.", "answer": "9", "table": "**Lakewood School District sports budget**\n\n| Year | Per-student budget |\n| --- | --- |\n| 2012 | $14 |\n| 2013 | $23 |\n| 2014 | $18 |\n| 2015 | $26 |\n| 2016 | $20 |" } ] }, { "id": "11224", "image": "11224.png", "conversations": [ { "from": "human", "question": "Elena kept a tally of the number of emails she received each day for a week. According to the table, what was the rate of change between Thursday and Friday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{10 emails - 4 emails}{1 day}\n = \\frac{6 emails}{1 day}\n = 6 emails per day\nThe rate of change between Thursday and Friday was 6 emails per day.", "answer": "6", "table": "**Emails Elena received**\n\n| Day | Emails |\n| --- | --- |\n| Monday | 2 |\n| Tuesday | 9 |\n| Wednesday | 4 |\n| Thursday | 4 |\n| Friday | 10 |" } ] }, { "id": "11227", "image": "11227.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $450, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $450, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $250 | 17,500 | 11,900 |\n| $300 | 13,900 | 12,700 |\n| $350 | 10,300 | 13,500 |\n| $400 | 6,700 | 14,300 |\n| $450 | 3,100 | 15,100 |" } ] }, { "id": "11228", "image": "11228.png", "conversations": [ { "from": "human", "question": "A furniture store kept a record of how many couches it sold each day. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n8, 14, 11, 4, 5\n\nFirst, find the greatest number. The greatest number is 14.\n\nNext, find the least number. The least number is 4.\n\nSubtract the least number from the greatest number:\n\n14 − 4 = 10\n\nThe range is 10.", "answer": "10", "table": "**Couches sold**\n\n| Day | Number of couches |\n| --- | --- |\n| Wednesday | 8 |\n| Thursday | 14 |\n| Friday | 11 |\n| Saturday | 4 |\n| Sunday | 5 |" } ] }, { "id": "11231", "image": "11231.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $685, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $685, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $685 | 4,300 | 5,000 |\n| $705 | 3,500 | 7,200 |\n| $725 | 2,700 | 9,400 |\n| $745 | 1,900 | 11,600 |\n| $765 | 1,100 | 13,800 |" } ] }, { "id": "11232", "image": "11232.png", "conversations": [ { "from": "human", "question": "Hazel has $0.98. How much money will Hazel have left if she buys a sheet of green paper and a pale purple note card?\n" }, { "from": "gpt", "solution": "Find the total cost of a sheet of green paper and a pale purple note card.\n\n$0.10 + $0.11 = $0.21\n\nNow subtract the total cost from the starting amount.\n\n$0.98 - $0.21 = $0.77\n\nHazel will have $0.77 left.", "answer": "0.77", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pale purple note card | $0.11 |\n| sheet of bright yellow paper | $0.41 |\n| sheet of blue and yellow paper | $0.76 |\n| piece of pink paper | $0.76 |\n| bright blue note card | $0.24 |\n| sheet of green paper | $0.10 |" } ] }, { "id": "11233", "image": "11233.png", "conversations": [ { "from": "human", "question": "Miss Perry ran a sit-up competition among her P.E. students and monitored how many sit-ups each students could do. How many people did at least 1 sit-up but fewer than 37 sit-ups?\n" }, { "from": "gpt", "solution": "Find the row with stem 0. Count all the leaves greater than or equal to 1.\n\nCount all the leaves in the rows with stems 1 and 2.\n\nIn the row with stem 3, count all the leaves less than 7.\n\nYou counted 7 leaves, which are blue in the stem-and-leaf plots above. 7 people did at least 1 sit-up but fewer than 37 sit-ups.", "answer": "7", "table": "**Sit-up competition (number of sit-ups)**\n\n| Stem | Leaf |\n| --- | --- |\n| 0 | 0, 2, 6, 8 |\n| 1 | 7, 9, 9 |\n| 2 | 4 |\n| 3 | 7 |\n| 4 | 7 |\n| 5 | 5 |\n| 6 | 0, 1, 3 |\n| 7 | 0, 0, 2 |" } ] }, { "id": "11236", "image": "11236.png", "conversations": [ { "from": "human", "question": "In considering whether to open a new branch, the city council examined the number of times some typical residents went to the library last month. How many people went to the library exactly 5 times last month?\n" }, { "from": "gpt", "solution": "Find the row for 5 times last month and read the frequency. The frequency is 10.\n\n10 people went to the library exactly 5 times last month.", "answer": "10", "table": "**Going to the library last month**\n\n| Number of trips | Frequency |\n| --- | --- |\n| 1 | 6 |\n| 2 | 18 |\n| 3 | 17 |\n| 4 | 8 |\n| 5 | 10 |\n| 6 | 2 |" } ] }, { "id": "11242", "image": "11242.png", "conversations": [ { "from": "human", "question": "Each package has 10 rolls of tape. How many rolls of tape are in 6 packages?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 60 rolls of tape in 6 packages.", "answer": "60", "table": "| Number of packages | Number of rolls of tape |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | 40 |\n| 5 | 50 |\n| 6 | ? |" } ] }, { "id": "11257", "image": "11257.png", "conversations": [ { "from": "human", "question": "A business magazine surveyed its readers about their commute times. How many commutes are exactly 24 minutes?\n" }, { "from": "gpt", "solution": "For the number 24, the stem is 2, and the leaf is 4. Find the row where the stem is 2. In that row, count all the leaves equal to 4.\n\nYou counted 1 leaf, which is blue in the stem-and-leaf plot above. 1 commute is exactly24 minutes.", "answer": "1", "table": "**Commute time (minutes)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 8 |\n| 2 | 4, 5 |\n| 3 | |\n| 4 | 6 |\n| 5 | 1 |\n| 6 | |\n| 7 | |\n| 8 | 2 |" } ] }, { "id": "11258", "image": "11258.png", "conversations": [ { "from": "human", "question": "Some teachers compared how many years they have been teaching. Who has been teaching for the fewest years?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 10.\n\nNow find the corresponding teacher. Mrs. Ramirez corresponds to 10.", "answer": "Mrs. Ramirez", "table": "**Years of teaching**\n\n| Teacher | Number of years |\n| --- | --- |\n| Ms. Chan | 17 |\n| Miss Torres | 11 |\n| Mrs. Ramirez | 10 |\n| Miss Lim | 14 |" } ] }, { "id": "11260", "image": "11260.png", "conversations": [ { "from": "human", "question": "The members of the track team compared how many miles they ran last week. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n2, 2, 2, 3, 3, 10, 10\n\nFirst, arrange the numbers from least to greatest:\n\n2, 2, 2, 3, 3, 10, 10\n\nNow count how many times each number appears.\n\n2 appears 3 times.\n3 appears 2 times.\n10 appears 2 times.\n\nThe number that appears most often is 2.\n\nThe mode is 2.", "answer": "2", "table": "**Running miles**\n\n| Name | Miles |\n| --- | --- |\n| Aaliyah | 2 |\n| Brett | 2 |\n| Samantha | 2 |\n| Emmett | 3 |\n| Paul | 3 |\n| Zeke | 10 |\n| Franco | 10 |" } ] }, { "id": "11262", "image": "11262.png", "conversations": [ { "from": "human", "question": "Sophia recalled how many minutes she had spent at choir rehearsal in the past 3 days. How many more minutes did Sophia rehearse on Tuesday than on Wednesday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nTuesday: 230\nWednesday: 117\n\nNow subtract: 230 - 117 = 113.\n\nSophia rehearsed for 113 more minutes on Tuesday.", "answer": "113", "table": "**Minutes spent rehearsing**\n\n| Day | Minutes |\n| --- | --- |\n| Tuesday | 230 |\n| Wednesday | 117 |\n| Thursday | 249 |" } ] }, { "id": "11265", "image": "11265.png", "conversations": [ { "from": "human", "question": "The soccer coach is preparing for the upcoming season by seeing how many goals his team members scored last season. How many team members scored exactly 3 goals last season?\n" }, { "from": "gpt", "solution": "Find the row for 3 goals last season and read the frequency. The frequency is 1.\n\n1 team member scored exactly 3 goals last season.", "answer": "1", "table": "**Soccer goals last season**\n\n| Goals scored | Frequency |\n| --- | --- |\n| 0 | 11 |\n| 1 | 7 |\n| 2 | 14 |\n| 3 | 1 |" } ] }, { "id": "11267", "image": "11267.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Jaden just missed the 10.15 A.M. bus at the softball field. What time is the next bus?\n" }, { "from": "gpt", "solution": "Find 10:15 A. M. in the row for the softball field.\n\nLook for the next bus in that row.\n\nThe next bus is at 11:00 A. M.", "answer": "11:00 A.M.", "table": "**Hotel shuttle bus schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 |\n| --- | --- | --- | --- |\n| amusement park | 10:00 A.M. | 10:45 A.M. | 11:00 A.M. |\n| softball field | 10:15 A.M. | 11:00 A.M. | 11:15 A.M. |\n| art museum | 10:45 A.M. | 11:30 A.M. | 11:45 A.M. |\n| bus station | 11:45 A.M. | 12:30 P.M. | 12:45 P.M. |\n| hotel | 12:15 P.M. | 1:00 P.M. | 1:15 P.M. |\n| boat docks | 1:00 P.M. | 1:45 P.M. | 2:00 P.M. |" } ] }, { "id": "11273", "image": "11273.png", "conversations": [ { "from": "human", "question": "Tom counted all the beads in each necklace at the jewelry store where he works. How many necklaces had at least 69 beads but fewer than 91 beads?\n" }, { "from": "gpt", "solution": "Find the row with stem 6. Count all the leaves greater than or equal to 9.\n\nCount all the leaves in the rows with stems 7 and 8.\n\nIn the row with stem 9, count all the leaves less than 1.\n\nYou counted 8 leaves, which are blue in the stem-and-leaf plots above. 8 necklaces had at least 69 beads but fewer than 91 beads.", "answer": "8", "table": "**Beads per necklace**\n\n| Stem | Leaf |\n| --- | --- |\n| 6 | 2, 6, 7 |\n| 7 | 2, 4 |\n| 8 | 0, 1, 2, 3, 8 |\n| 9 | 0 |" } ] }, { "id": "11275", "image": "11275.png", "conversations": [ { "from": "human", "question": "Allenville Property Management reviewed the number of vacant apartments at each its apartment complexes over time. How many more vacant apartments did Alameda Apartments have in October than in November?\n" }, { "from": "gpt", "solution": "Find the Alameda Apartments row. Find the numbers in this row for October and November.\n\nOctober: 16\nNovember: 8\n\nNow subtract:\n\n16 − 8 = 8\n\nAlameda Apartments had 8 more vacant apartments in October than in November.", "answer": "8", "table": "**Vacant apartments**\n\n| Apartment complex | October | November |\n| --- | --- | --- |\n| Sycamore Apartments | 13 | 1 |\n| Lindale Apartments | 11 | 18 |\n| City Apartments | 6 | 9 |\n| Creekside Apartments | 2 | 3 |\n| Alameda Apartments | 16 | 8 |" } ] }, { "id": "11283", "image": "11283.png", "conversations": [ { "from": "human", "question": "Debbie counted the number of peanuts in each bag of trail mix. How many bags had at least 50 peanuts but fewer than 80 peanuts?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 5, 6, and 7.\n\nYou counted 10 leaves, which are blue in the stem-and-leaf plot above. 10 bags had at least 50 peanuts but fewer than 80 peanuts.", "answer": "10", "table": "**Peanuts per bag of trail mix**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 4, 6 |\n| 2 | 0, 1, 9 |\n| 3 | 0, 3 |\n| 4 | 8, 9 |\n| 5 | 2, 4, 6, 6, 7 |\n| 6 | 9 |\n| 7 | 1, 2, 9, 9 |\n| 8 | 0, 1, 9 |\n| 9 | 0 |" } ] }, { "id": "11286", "image": "11286.png", "conversations": [ { "from": "human", "question": "A stock broker followed the stock prices of a certain set of companies. Which company's stock cost more on Thursday, Watson and Partners or Jonas Incorporated?\n" }, { "from": "gpt", "solution": "Find the Thursday column. Compare the numbers in this column for Watson and Partners and Jonas Incorporated.\n\n$4.00 is more than $2.00. On Thursday, Jonas Incorporated's stock cost more.", "answer": "Jonas Incorporated", "table": "**Stock prices**\n\n| Company | Wednesday | Thursday |\n| --- | --- | --- |\n| Computer Data Company | $17 | $8 |\n| White and Company | $12 | $4 |\n| Watson and Partners | $18 | $2 |\n| Jonas Incorporated | $6 | $4 |\n| Thompson Corporation | $9 | $19 |" } ] }, { "id": "11287", "image": "11287.png", "conversations": [ { "from": "human", "question": "Linda wants to buy 0.9 pounds of double chocolate cookie dough. How much will she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the double chocolate cookie dough. Multiply the price per pound by the number of pounds.\n$3 × 0.9 = $2.70\nShe will spend $2.70.", "answer": "2.70", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| peanut butter cookie dough | $3 per lb |\n| double chocolate cookie dough | $3 per lb |\n| chocolate chip cookie dough | $5 per lb |\n| oatmeal raisin cookie dough | $7 per lb |\n| gingersnap cookie dough | $3 per lb |\n| snickerdoodle cookie dough | $8 per lb |" } ] }, { "id": "11292", "image": "11292.png", "conversations": [ { "from": "human", "question": "A farmer wrote down how many kilograms of cherries were sold in the past 4 days. How many more kilograms of cherries were sold on Tuesday than on Wednesday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nTuesday: 4,913\nWednesday: 3,849\n\nNow subtract: 4,913 - 3,849 = 1,064.\n\n1,064 more kilograms of cherries were sold on Tuesday.", "answer": "1,064", "table": "**Cherries sold**\n\n| Day | Kilograms |\n| --- | --- |\n| Sunday | 1,538 |\n| Monday | 2,816 |\n| Tuesday | 4,913 |\n| Wednesday | 3,849 |" } ] }, { "id": "11299", "image": "11299.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{11 - 20}{15 - 14}\n = \\frac{-9}{1}\n = -9\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{2 - 20}{16 - 14}\n = \\frac{-18}{2}\n = -9\nThe two rates of change are the same.\n9.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 14 | 20 |\n| 15 | 11 |\n| 16 | 2 |" } ] }, { "id": "11303", "image": "11303.png", "conversations": [ { "from": "human", "question": "As part of a statistics project, a math class weighed all the children who were willing to participate. What is the weight of the lightest child?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 1.\n\nNow find the lowest leaf in the first row. The lowest leaf is 0.\n\nThe weight of the lightest child has a stem of 1 and a leaf of 0. Write the stem first, then the leaf: 10.\n\nThe weight of the lightest child is 10 pounds.", "answer": "10", "table": "**Children's weights (lbs)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 2, 2, 4, 5, 9 |\n| 2 | 4, 8 |\n| 3 | 2, 2, 4, 8 |\n| 4 | 3 |\n| 5 | 9, 9 |" } ] }, { "id": "11307", "image": "11307.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $370, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $370, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $370 | 19,600 | 21,900 |\n| $560 | 16,000 | 22,500 |\n| $750 | 12,400 | 23,100 |\n| $940 | 8,800 | 23,700 |\n| $1,130 | 5,200 | 24,300 |" } ] }, { "id": "11318", "image": "11318.png", "conversations": [ { "from": "human", "question": "A juice shop tracked how many smoothies it sold in the past 4 days. On which day did the shop sell the fewest smoothies?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 83.\n\nNow find the corresponding day. Sunday corresponds to 83.", "answer": "Sunday", "table": "**Smoothies sold**\n\n| Day | Number of smoothies |\n| --- | --- |\n| Saturday | 84 |\n| Sunday | 83 |\n| Monday | 85 |\n| Tuesday | 87 |" } ] }, { "id": "11320", "image": "11320.png", "conversations": [ { "from": "human", "question": "Jackson, a fitness counselor, counted the number of pull-ups completed by each bootcamp participant. How many participants did exactly 1 pull-up?\n" }, { "from": "gpt", "solution": "Find the row for 1 pull-up and read the frequency. The frequency is 6.\n\n6 participants did exactly1 pull-up.", "answer": "6", "table": "**Doing pull-ups**\n\n| Number of pull-ups | Frequency |\n| --- | --- |\n| 0 | 0 |\n| 1 | 6 |\n| 2 | 4 |\n| 3 | 2 |" } ] }, { "id": "11321", "image": "11321.png", "conversations": [ { "from": "human", "question": "How much money does Norma need to buy 7 cockatoos?\n" }, { "from": "gpt", "solution": "Find the total cost of 7 cockatoos by multiplying 7 times the price of a cockatoo.\n\n$69.00 × 7 = $483.00\n\nNorma needs $483.00.", "answer": "483", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pot-bellied pig | $17.00 |\n| rabbit | $82.00 |\n| bearded dragon | $30.00 |\n| cockatoo | $69.00 |" } ] }, { "id": "11323", "image": "11323.png", "conversations": [ { "from": "human", "question": "A juice shop tracked how many smoothies it sold in the past 4 days. How many smoothies in total did the shop sell on Monday and Wednesday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nMonday: 106\nWednesday: 181\n\nNow add: 106 + 181 = 287.\n\nThe shop sold 287 smoothies on Monday and Wednesday.", "answer": "287", "table": "**Smoothies sold**\n\n| Day | Number of smoothies |\n| --- | --- |\n| Sunday | 386 |\n| Monday | 106 |\n| Tuesday | 314 |\n| Wednesday | 181 |" } ] }, { "id": "11326", "image": "11326.png", "conversations": [ { "from": "human", "question": "Laura has $8.00. Does she have enough to buy a bag of cat treats and a fish bowl?\n" }, { "from": "gpt", "solution": "Add the price of a bag of cat treats and the price of a fish bowl:\n\n$2.00 + $6.00 = $8.00\n\nSince Laura has $8.00, she has just enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| bag of birdseed | $3.00 |\n| box of dog biscuits | $4.00 |\n| fish bowl | $6.00 |\n| bag of cat treats | $2.00 |\n| hamster wheel | $9.00 |\n| dog bowl | $4.00 |" } ] }, { "id": "11327", "image": "11327.png", "conversations": [ { "from": "human", "question": "A Girl Scout troop recorded how many boxes of cookies they sold each day for a week. According to the table, what was the rate of change between Wednesday and Thursday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{31 boxes - 32 boxes}{1 day}\n = \\frac{-1 boxes}{1 day}\n = -1 boxes per day\nThe rate of change between Wednesday and Thursday was - 1 boxes per day.", "answer": "-1", "table": "**Boxes of Girl Scout cookies sold**\n\n| Day | Boxes of cookies |\n| --- | --- |\n| Sunday | 42 |\n| Monday | 34 |\n| Tuesday | 31 |\n| Wednesday | 32 |\n| Thursday | 31 |" } ] }, { "id": "11328", "image": "11328.png", "conversations": [ { "from": "human", "question": "Brenda graphed the daily low temperature for 5 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n13, 7, 13, 12, 20\n\nFirst, find the greatest number. The greatest number is 20.\n\nNext, find the least number. The least number is 7.\n\nSubtract the least number from the greatest number:\n\n20 − 7 = 13\n\nThe range is 13.", "answer": "13", "table": "**Daily low temperature**\n\n| Day | Temperature (°C) |\n| --- | --- |\n| Friday | 13 |\n| Saturday | 7 |\n| Sunday | 13 |\n| Monday | 12 |\n| Tuesday | 20 |" } ] }, { "id": "11334", "image": "11334.png", "conversations": [ { "from": "human", "question": "A wilderness retail store asked a consulting company to do an analysis of their hiking shoe customers. The consulting company gathered data from each customer that purchased hiking shoes, and recorded the shoe brand and the customer's level of happiness. What is the probability that a randomly selected customer is displeased and purchased a Footlong shoe? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the customer is displeased\" and B be the event \"the customer purchased a Footlong shoe\".\nTo find the probability that a customer is displeased and purchased a Footlong shoe, first identify the sample space and the event.\nThe outcomes in the sample space are the different customers. Each customer is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the customer is displeased and purchased a Footlong shoe\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the customer is displeased and purchased a Footlong shoe\", so look at the table to see how many customers are displeased and purchased a Footlong shoe.\nThe number of customers who are displeased and purchased a Footlong shoe is 2.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of customers.\n2 + 5 + 6 + 5 = 18\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{2}{18}\n = \\frac{1}{9}\nThe probability that a customer is displeased and purchased a Footlong shoe is \\frac{1}{9}.", "answer": "1/9", "table": "| | A Footlong shoe | A Toes Knows shoe |\n| --- | --- | --- |\n| Displeased | 2 | 6 |\n| Pleased | 5 | 5 |" } ] }, { "id": "11337", "image": "11337.png", "conversations": [ { "from": "human", "question": "Nina has $1,382.00. Does she have enough to buy a Hawaiian vacation package and a Caribbean vacation package?\n" }, { "from": "gpt", "solution": "Add the price of a Hawaiian vacation package and the price of a Caribbean vacation package:\n\n$856.00 + $583.00 = $1,439.00\n\n$1,439.00 is more than $1,382.00. Nina does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| European vacation package | $938.00 |\n| Hawaiian vacation package | $856.00 |\n| Caribbean vacation package | $583.00 |\n| Jamaican vacation package | $858.00 |\n| Australian vacation package | $922.00 |" } ] }, { "id": "11342", "image": "11342.png", "conversations": [ { "from": "human", "question": "An architecture student measured the heights of all the buildings downtown. How many buildings are less than 70 meters tall?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1, 2, 3, 4, 5, and 6.\n\nYou counted 6 leaves, which are blue in the stem-and-leaf plot above. 6 buildings are less than 70 meters tall.", "answer": "6", "table": "**Building heights (meters)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 2 |\n| 2 | 3, 9 |\n| 3 | |\n| 4 | 0, 7 |\n| 5 | 5 |\n| 6 | |\n| 7 | |\n| 8 | 0, 0, 7 |" } ] }, { "id": "11344", "image": "11344.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $1,185, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $1,185, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $585 | 18,300 | 11,300 |\n| $785 | 14,600 | 13,000 |\n| $985 | 10,900 | 14,700 |\n| $1,185 | 7,200 | 16,400 |\n| $1,385 | 3,500 | 18,100 |" } ] }, { "id": "11346", "image": "11346.png", "conversations": [ { "from": "human", "question": "Kendra spent a week at the beach and recorded the number of shells she found each day. According to the table, what was the rate of change between Wednesday and Thursday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{6 shells - 3 shells}{1 day}\n = \\frac{3 shells}{1 day}\n = 3 shells per day\nThe rate of change between Wednesday and Thursday was 3 shells per day.", "answer": "3", "table": "**Shells Kendra found**\n\n| Day | Number of shells |\n| --- | --- |\n| Tuesday | 6 |\n| Wednesday | 3 |\n| Thursday | 6 |\n| Friday | 2 |\n| Saturday | 0 |" } ] }, { "id": "11353", "image": "11353.png", "conversations": [ { "from": "human", "question": "Judy buys 5 pounds of size 4 screws. How much does she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the size 4 screws. Multiply the price per pound by the number of pounds.\n\n$7 × 5 = $35\n\nShe spends $35.", "answer": "35", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| size 6 screws | $6/lb |\n| size 1 screws | $5/lb |\n| size 5 screws | $8/lb |\n| size 3 screws | $10/lb |\n| size 2 screws | $7/lb |\n| size 4 screws | $7/lb |" } ] }, { "id": "11355", "image": "11355.png", "conversations": [ { "from": "human", "question": "How much more does a book about Australia cost than a book about South America?\n" }, { "from": "gpt", "solution": "Subtract the price of a book about South America from the price of a book about Australia.\n\n$6.37 - $3.11 = $3.26\n\nA book about Australia costs $3.26 more than a book about South America.", "answer": "3.26", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| book about helicopters | $4.91 |\n| book about Australia | $6.37 |\n| book about animals | $5.10 |\n| book about South America | $3.11 |" } ] }, { "id": "11363", "image": "11363.png", "conversations": [ { "from": "human", "question": "Finn looked over his calendar to see how many times he had soccer practice each month. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n28, 29, 28, 28, 21, 28, 29\n\nFirst, arrange the numbers from least to greatest:\n\n21, 28, 28, 28, 28, 29, 29\n\nNow find the number in the middle.\n\n21, 28, 28, 28, 28, 29, 29\n\nThe number in the middle is 28.\n\nThe median is 28.", "answer": "28", "table": "**Soccer practice**\n\n| Month | Number of practices |\n| --- | --- |\n| September | 28 |\n| October | 29 |\n| November | 28 |\n| March | 28 |\n| April | 21 |\n| May | 28 |\n| June | 29 |" } ] }, { "id": "11365", "image": "11365.png", "conversations": [ { "from": "human", "question": "Wanda has $17,210. How much money will Wanda have left if she buys a yellow convertible and a black convertible?\n" }, { "from": "gpt", "solution": "Find the total cost of a yellow convertible and a black convertible.\n\n$5,856 + $7,154 = $13,010\n\nNow subtract the total cost from the starting amount.\n\n$17,210 - $13,010 = $4,200\n\nWanda will have $4,200 left.", "answer": "4,200", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| yellow convertible | $5,856 |\n| black convertible | $7,154 |\n| yellow sports car | $6,717 |\n| red minivan | $5,629 |\n| tan station wagon | $5,331 |" } ] }, { "id": "11371", "image": "11371.png", "conversations": [ { "from": "human", "question": "Hanson kept a driving log to see how many miles he drove each day. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n8, 4, 3, 4, 9\n\nFirst, arrange the numbers from least to greatest:\n\n3, 4, 4, 8, 9\n\nNow find the number in the middle.\n\n3, 4, 4, 8, 9\n\nThe number in the middle is 4.\n\nThe median is 4.", "answer": "4", "table": "**Miles driven**\n\n| Day | Number of miles |\n| --- | --- |\n| Sunday | 8 |\n| Monday | 4 |\n| Tuesday | 3 |\n| Wednesday | 4 |\n| Thursday | 9 |" } ] }, { "id": "11377", "image": "11377.png", "conversations": [ { "from": "human", "question": "A chef kept track of the number of bananas people ate last week in her cafeteria. How many people ate more than 4 bananas last week?\n" }, { "from": "gpt", "solution": "Find the rows for 5 and 6 bananas last week. Add the frequencies for these rows.\n\nAdd:\n\n17 + 2 = 19\n\n19 people ate more than 4 bananas last week.", "answer": "19", "table": "**Eating bananas last week**\n\n| Bananas eaten | Frequency |\n| --- | --- |\n| 0 | 0 |\n| 1 | 5 |\n| 2 | 15 |\n| 3 | 18 |\n| 4 | 12 |\n| 5 | 17 |\n| 6 | 2 |" } ] }, { "id": "11385", "image": "11385.png", "conversations": [ { "from": "human", "question": "A food industry researcher compiled the revenues of several pizzerias. Which restaurant made the least from pepperoni pizza sales?\n" }, { "from": "gpt", "solution": "Look at the numbers in the Pepperoni pizzas column. Find the least number in this column.\n\nThe least number is $5.00, which is in the The Real Chicago row. The Real Chicago made the least from pepperoni pizza sales.", "answer": "The Real Chicago", "table": "**Pizza sales**\n\n| Restaurant | Vegetarian pizzas | Pepperoni pizzas |\n| --- | --- | --- |\n| Arnold's Pizzeria | $15 | $6 |\n| The Real Chicago | $17 | $5 |\n| The Big Cheese | $8 | $11 |\n| New York Slice | $20 | $12 |" } ] }, { "id": "11387", "image": "11387.png", "conversations": [ { "from": "human", "question": "Mateo went on a camping trip and logged the number of miles he hiked each day. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n3, 6, 3, 6, 9, 3\n\nFirst, arrange the numbers from least to greatest:\n\n3, 3, 3, 6, 6, 9\n\nNow count how many times each number appears.\n\n3 appears 3 times.\n6 appears 2 times.\n9 appears 1 time.\n\nThe number that appears most often is 3.\n\nThe mode is 3.", "answer": "3", "table": "**Miles hiked**\n\n| Day | Number of miles |\n| --- | --- |\n| Thursday | 3 |\n| Friday | 6 |\n| Saturday | 3 |\n| Sunday | 6 |\n| Monday | 9 |\n| Tuesday | 3 |" } ] }, { "id": "11389", "image": "11389.png", "conversations": [ { "from": "human", "question": "How much would it cost to buy 1 kilogram of almonds and 1 kilogram of peanuts?\n" }, { "from": "gpt", "solution": "Find the cost of the almonds. Multiply:\n\n$4.03 × 1 = $4.03\n\nFind the cost of the peanuts. Multiply:\n\n$0.95 × 1 = $0.95\n\nNow find the total cost by adding:\n\n$4.03 + $0.95 = $4.98\n\nIt would cost $4.98.", "answer": "4.98", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| almonds | $4.03 per kilogram |\n| pecans | $2.97 per kilogram |\n| hazelnuts | $2.38 per kilogram |\n| peanuts | $0.95 per kilogram |" } ] }, { "id": "11392", "image": "11392.png", "conversations": [ { "from": "human", "question": "Each shelf has 10 cartons of yogurt. How many cartons of yogurt are on 6 shelves?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 60 cartons of yogurt on 6 shelves.", "answer": "60", "table": "| Number of shelves | Number of cartons of yogurt |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | 40 |\n| 5 | 50 |\n| 6 | ? |" } ] }, { "id": "11393", "image": "11393.png", "conversations": [ { "from": "human", "question": "Mrs. Barnett hosts an annual art contest for kids, and she keeps a record of the number of entries each year. According to the table, what was the rate of change between 2012 and 2013?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{34 entries - 38 entries}{2013 - 2012}\n = \\frac{34 entries - 38 entries}{1 year}\n = \\frac{-4 entries}{1 year}\n = -4 entries per year\nThe rate of change between 2012 and 2013 was - 4 entries per year.", "answer": "-4", "table": "**Art contest entries**\n\n| Year | Number of entries |\n| --- | --- |\n| 2012 | 38 |\n| 2013 | 34 |\n| 2014 | 40 |\n| 2015 | 33 |\n| 2016 | 35 |" } ] }, { "id": "11400", "image": "11400.png", "conversations": [ { "from": "human", "question": "Bluepoint will decide whether to extend its public pool's hours by looking at the number of times its residents visited the pool last month. How many people are there in all?\n" }, { "from": "gpt", "solution": "Add the frequencies for each row.\n\nAdd:\n\n1 + 17 + 9 + 8 = 35\n\nThere are 35 people in all.", "answer": "35", "table": "**Going swimming last month**\n\n| Number of times | Frequency |\n| --- | --- |\n| 1 | 1 |\n| 2 | 17 |\n| 3 | 9 |\n| 4 | 8 |" } ] }, { "id": "11418", "image": "11418.png", "conversations": [ { "from": "human", "question": "The advertising agency counted the number of billboards in each city in the state. How many cities have at least 55 billboards?\n" }, { "from": "gpt", "solution": "Find the row with stem 5. Count all the leaves greater than or equal to 5.\n\nCount all the leaves in the rows with stems 6 and 7.\n\nYou counted 6 leaves, which are blue in the stem-and-leaf plots above. 6 cities have at least 55 billboards.", "answer": "6", "table": "**Billboards per city**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 2, 7, 8, 9 |\n| 4 | 1, 3, 5, 5, 5, 7, 8 |\n| 5 | 7 |\n| 6 | 1, 3, 7 |\n| 7 | 4, 4 |" } ] }, { "id": "11420", "image": "11420.png", "conversations": [ { "from": "human", "question": "An insurance company compiled the number of doctor visits made by some patients last year. How many patients are there in all?\n" }, { "from": "gpt", "solution": "Add the frequencies for each row.\n\nAdd:\n\n4 + 0 + 11 + 1 = 16\n\nThere are 16 patients in all.", "answer": "16", "table": "**Doctor visits last year**\n\n| Number of trips | Frequency |\n| --- | --- |\n| 0 | 4 |\n| 1 | 0 |\n| 2 | 11 |\n| 3 | 1 |" } ] }, { "id": "11428", "image": "11428.png", "conversations": [ { "from": "human", "question": "Each vase has 2 marigolds. How many marigolds are in 5 vases?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 10 marigolds in 5 vases.", "answer": "10", "table": "| Number of vases | Number of marigolds |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | 6 |\n| 4 | 8 |\n| 5 | ? |" } ] }, { "id": "11437", "image": "11437.png", "conversations": [ { "from": "human", "question": "In hopes of raising more funds for arts education, some parents in the Salem School District publicized the current per-student arts education budget. According to the table, what was the rate of change between 2008 and 2009?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{$29 - $21}{2009 - 2008}\n = \\frac{$29 - $21}{1 year}\n = \\frac{$8}{1 year}\n = $8 per year\nThe rate of change between 2008 and 2009 was $8 per year.", "answer": "8", "table": "**Salem arts education budget**\n\n| Year | Per-student budget |\n| --- | --- |\n| 2007 | $17 |\n| 2008 | $21 |\n| 2009 | $29 |\n| 2010 | $22 |\n| 2011 | $21 |" } ] }, { "id": "11439", "image": "11439.png", "conversations": [ { "from": "human", "question": "Grace buys 5 kilograms of heirloom tomatoes, 1 kilogram of cherry tomatoes, and 3 kilograms of vine-ripened tomatoes. What is the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the heirloom tomatoes. Multiply:\n\n$1.66 × 5 = $8.30\n\nFind the cost of the cherry tomatoes. Multiply:\n\n$2.22 × 1 = $2.22\n\nFind the cost of the vine-ripened tomatoes. Multiply:\n\n$1.93 × 3 = $5.79\n\nNow find the total cost by adding:\n\n$8.30 + $2.22 + $5.79 = $16.31\n\nThe total cost is $16.31.", "answer": "16.31", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| cherry tomatoes | $2.22 per kg |\n| roma tomatoes | $2.09 per kg |\n| vine-ripened tomatoes | $1.93 per kg |\n| heirloom tomatoes | $1.66 per kg |" } ] }, { "id": "11446", "image": "11446.png", "conversations": [ { "from": "human", "question": "Professor Arnold released the results of yesterday's pop quiz. How many students scored exactly 17 points?\n" }, { "from": "gpt", "solution": "For the number 17, the stem is 1, and the leaf is 7. Find the row where the stem is 1. In that row, count all the leaves equal to 7.\n\nYou counted 0 leaves. 0 students scored exactly17 points.", "answer": "0", "table": "**Pop quiz scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1, 2, 8, 8 |\n| 2 | 5, 6 |\n| 3 | 0, 1, 6 |\n| 4 | 1, 2, 2, 6, 8 |\n| 5 | 1, 2, 5, 6, 7, 8 |" } ] }, { "id": "11447", "image": "11447.png", "conversations": [ { "from": "human", "question": "Jon counted the number of silver beads on each bracelet at Newport Jewelry, the store where he works. How many bracelets had at least 30 silver beads but fewer than 50 silver beads?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 3 and 4.\n\nYou counted 5 leaves, which are blue in the stem-and-leaf plot above. 5 bracelets had at least 30 silver beads but fewer than 50 silver beads.", "answer": "5", "table": "**Silver beads per bracelet**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 5 |\n| 2 | 0, 5, 6, 7, 8 |\n| 3 | 2, 4, 7 |\n| 4 | 0, 7 |\n| 5 | 0, 1, 5, 5, 6 |\n| 6 | 3, 3 |\n| 7 | 2, 8 |\n| 8 | 3, 3, 8, 8 |" } ] }, { "id": "11449", "image": "11449.png", "conversations": [ { "from": "human", "question": "Gabby owns four dogs and monitors how much food they eat in a month. What fraction of the food was eaten by Pepper? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many kilograms of food were eaten by Pepper.\n\n44\n\nFind how many kilograms of food the dogs ate in total.\n\n50 + 44 + 28 + 40 = 162\n\nDivide 44 by162.\n\n\\frac{44}{162}\n\nReduce the fraction.\n\n\\frac{44}{162} → \\frac{22}{81}\n\n\\frac{22}{81} of kilograms of food were eaten by Pepper.", "answer": "22/81", "table": "**Dog food consumption**\n\n| Dog | Kilograms of food |\n| --- | --- |\n| Lucky | 50 |\n| Pepper | 44 |\n| Taffy | 28 |\n| Sparky | 40 |" } ] }, { "id": "11458", "image": "11458.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $520, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $520, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $240 | 20,000 | 8,100 |\n| $380 | 15,300 | 10,000 |\n| $520 | 10,600 | 11,900 |\n| $660 | 5,900 | 13,800 |\n| $800 | 1,200 | 15,700 |" } ] }, { "id": "11468", "image": "11468.png", "conversations": [ { "from": "human", "question": "How much money does Brendan need to buy a piece of smoky quartz and a piece of black obsidian?\n" }, { "from": "gpt", "solution": "Add the price of a piece of smoky quartz and the price of a piece of black obsidian:\n\n$0.01 + $0.06 = $0.07\n\nBrendan needs $0.07.", "answer": "0.07", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| piece of black mica | $0.02 |\n| piece of smoky quartz | $0.01 |\n| piece of black obsidian | $0.06 |\n| piece of fool's gold | $0.02 |\n| yellow tiger's eye | $0.01 |" } ] }, { "id": "11472", "image": "11472.png", "conversations": [ { "from": "human", "question": "Brooke has $0.07. Does she have enough to buy a duck stamp and a robot stamp?\n" }, { "from": "gpt", "solution": "Add the price of a duck stamp and the price of a robot stamp:\n\n$0.01 + $0.08 = $0.09\n\n$0.09 is more than $0.07. Brooke does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| robot stamp | $0.08 |\n| coyote stamp | $0.06 |\n| duck stamp | $0.01 |\n| piece of bubble wrap | $0.03 |\n| rose stamp | $0.04 |\n| flag stamp | $0.08 |" } ] }, { "id": "11473", "image": "11473.png", "conversations": [ { "from": "human", "question": "Colette has $0.16. Does she have enough to buy a piece of fool's gold and a pumice stone?\n" }, { "from": "gpt", "solution": "Add the price of a piece of fool's gold and the price of a pumice stone:\n\n$0.09 + $0.08 = $0.17\n\n$0.17 is more than $0.16. Colette does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pumice stone | $0.08 |\n| piece of fool's gold | $0.09 |\n| smooth piece of sea glass | $0.05 |\n| piece of red sandstone | $0.03 |" } ] }, { "id": "11474", "image": "11474.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Josie just missed the 11.00 A.M. train at Spring Road. What time is the next train?\n" }, { "from": "gpt", "solution": "Find 11:00 A. M. in the row for Spring Road.\n\nLook for the next train in that row.\n\nThe next train is at 11:15 A. M.", "answer": "11:15 A.M.", "table": "**Subway train schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 |\n| --- | --- | --- | --- |\n| Locust Street | 10:00 A.M. | 10:15 A.M. | 10:30 A.M. |\n| Washington Avenue | 10:15 A.M. | 10:30 A.M. | 10:45 A.M. |\n| Spring Road | 11:00 A.M. | 11:15 A.M. | 11:30 A.M. |\n| Valley Avenue | 11:30 A.M. | 11:45 A.M. | 12:00 P.M. |\n| Poplar Avenue | 12:00 P.M. | 12:15 P.M. | 12:30 P.M. |\n| Lee Street | 1:00 P.M. | 1:15 P.M. | 1:30 P.M. |\n| Ridge Street | 1:15 P.M. | 1:30 P.M. | 1:45 P.M. |" } ] }, { "id": "11479", "image": "11479.png", "conversations": [ { "from": "human", "question": "Grayson's Candies has been studying how much chocolate people have been eating in different countries. Which country consumed the most chocolate per capita in 2002?\n" }, { "from": "gpt", "solution": "Look at the numbers in the 2002 column. Find the greatest number in this column.\n\nThe greatest number is 10, which is in the Germany row. Germany consumed the most chocolate per capita in 2002.", "answer": "Germany", "table": "**Chocolate consumption per capita (kg)**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 2002 | 2005 |\n| Norway | 8 | 9 |\n| Sweden | 8 | 7 |\n| Germany | 10 | 11 |\n| Poland | 3 | 4 |" } ] }, { "id": "11481", "image": "11481.png", "conversations": [ { "from": "human", "question": "A grocery store recorded how many customers visited the store each day. On which day did the grocery store have the most customers?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 28.\n\nNow find the corresponding day. Friday corresponds to 28.", "answer": "Friday", "table": "**Grocery store customers**\n\n| Day | Number of customers |\n| --- | --- |\n| Thursday | 25 |\n| Friday | 28 |\n| Saturday | 22 |\n| Sunday | 23 |" } ] }, { "id": "11485", "image": "11485.png", "conversations": [ { "from": "human", "question": "To figure out how many vacation days she had left to use, Tori looked over her old calendars to figure out how many days of vacation she had taken each year. According to the table, what was the rate of change between 2011 and 2012?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{7 vacation days - 16 vacation days}{2012 - 2011}\n = \\frac{7 vacation days - 16 vacation days}{1 year}\n = \\frac{-9 vacation days}{1 year}\n = -9 vacation days per year\nThe rate of change between 2011 and 2012 was - 9 vacation days per year.", "answer": "-9", "table": "**Vacation days taken by Tori**\n\n| Year | Vacation days |\n| --- | --- |\n| 2009 | 12 |\n| 2010 | 12 |\n| 2011 | 16 |\n| 2012 | 7 |\n| 2013 | 16 |" } ] }, { "id": "11487", "image": "11487.png", "conversations": [ { "from": "human", "question": "How much money does Angie need to buy a pencil sharpener and a yellow highlighter?\n" }, { "from": "gpt", "solution": "Add the price of a pencil sharpener and the price of a yellow highlighter:\n\n$0.75 + $0.53 = $1.28\n\nAngie needs $1.28.", "answer": "1.28", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| silver glitter pen | $0.83 |\n| rubber stamp | $0.42 |\n| pencil sharpener | $0.75 |\n| yellow highlighter | $0.53 |" } ] }, { "id": "11489", "image": "11489.png", "conversations": [ { "from": "human", "question": "The staff of a newspaper examined the number of copies sold over the past 4 days. On which day were the fewest copies sold?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 551.\n\nNow find the corresponding day. Friday corresponds to 551.", "answer": "Friday", "table": "**Newspapers sold**\n\n| Day | Number of newspapers |\n| --- | --- |\n| Friday | 551 |\n| Saturday | 578 |\n| Sunday | 587 |\n| Monday | 572 |" } ] }, { "id": "11492", "image": "11492.png", "conversations": [ { "from": "human", "question": "Joe, an employee at Nelson's Convenience Store, looked at the sales of each of its soda products. On Friday, how much more did the convenience store make from Pearl's Soda sales than from Sweet Sips sales?\n" }, { "from": "gpt", "solution": "Find the Friday column. Find the numbers in this column for Pearl's Soda and Sweet Sips.\n\nPearl's Soda: $20.00\nSweet Sips: $7.00\n\nNow subtract:\n\n$20.00 − $7.00 = $13.00\n\nOn Friday, the convenience store made $13 more from Pearl's Soda sales than from Sweet Sips sales.", "answer": "13", "table": "**Convenience store beverage sales**\n\n| Beverage | Friday | Saturday |\n| --- | --- | --- |\n| Sweet Sips | $7 | $16 |\n| Olde Tyme Cola | $16 | $16 |\n| Pearl's Soda | $20 | $6 |\n| Nature's Nectar | $13 | $1 |\n| Krazy Kola | $6 | $12 |" } ] }, { "id": "11497", "image": "11497.png", "conversations": [ { "from": "human", "question": "Each year the Lancaster School District publishes its annual budget, which includes information on the sports program's per-student spending. According to the table, what was the rate of change between 2016 and 2017?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{$50 - $45}{2017 - 2016}\n = \\frac{$50 - $45}{1 year}\n = \\frac{$5}{1 year}\n = $5 per year\nThe rate of change between 2016 and 2017 was $5 per year.", "answer": "5", "table": "**Lancaster School District sports budget**\n\n| Year | Per-student budget |\n| --- | --- |\n| 2013 | $49 |\n| 2014 | $50 |\n| 2015 | $42 |\n| 2016 | $45 |\n| 2017 | $50 |" } ] }, { "id": "11502", "image": "11502.png", "conversations": [ { "from": "human", "question": "Fans of the Danville baseball team compared the number of games won by their team each year. According to the table, what was the rate of change between 2008 and 2009?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{19 games - 27 games}{2009 - 2008}\n = \\frac{19 games - 27 games}{1 year}\n = \\frac{-8 games}{1 year}\n = -8 games per year\nThe rate of change between 2008 and 2009 was - 8 games per year.", "answer": "-8", "table": "**Games won by the Danville baseball team**\n\n| Year | Games won |\n| --- | --- |\n| 2006 | 33 |\n| 2007 | 22 |\n| 2008 | 27 |\n| 2009 | 19 |\n| 2010 | 34 |" } ] }, { "id": "11503", "image": "11503.png", "conversations": [ { "from": "human", "question": "How much money does Madelyn need to buy 7 orders of spaghetti and meatballs?\n" }, { "from": "gpt", "solution": "Find the total cost of 7 orders of spaghetti and meatballs by multiplying 7 times the price of spaghetti and meatballs.\n\n$10.58 × 7 = $74.06\n\nMadelyn needs $74.06.", "answer": "74.06", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pasta with pesto sauce | $13.27 |\n| pepperoni pizza | $11.55 |\n| eggplant parmesan | $11.52 |\n| pasta with clams | $12.08 |\n| spaghetti and meatballs | $10.58 |" } ] }, { "id": "11524", "image": "11524.png", "conversations": [ { "from": "human", "question": "A bus driver paid attention to how many passengers his bus had each day. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n68, 63, 83, 65, 77, 63, 64\n\nFirst, arrange the numbers from least to greatest:\n\n63, 63, 64, 65, 68, 77, 83\n\nNow find the number in the middle.\n\n63, 63, 64, 65, 68, 77, 83\n\nThe number in the middle is 65.\n\nThe median is 65.", "answer": "65", "table": "**People on the bus**\n\n| Day | Number of people |\n| --- | --- |\n| Sunday | 68 |\n| Monday | 63 |\n| Tuesday | 83 |\n| Wednesday | 65 |\n| Thursday | 77 |\n| Friday | 63 |\n| Saturday | 64 |" } ] }, { "id": "11526", "image": "11526.png", "conversations": [ { "from": "human", "question": "Sue, an aspiring meteorologist, spent the past few weekends studying the clouds. She took detailed notes on the types of clouds observed and the time of day they were observed. What is the probability that a randomly selected cloud was marked as stratocumulus and was observed in the afternoon? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the cloud was marked as stratocumulus\" and B be the event \"the cloud was observed in the afternoon\".\nTo find the probability that a cloud was marked as stratocumulus and was observed in the afternoon, first identify the sample space and the event.\nThe outcomes in the sample space are the different clouds. Each cloud is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the cloud was marked as stratocumulus and was observed in the afternoon\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the cloud was marked as stratocumulus and was observed in the afternoon\", so look at the table to see how many clouds were marked as stratocumulus and were observed during the afternoon.\nThe number of clouds that were marked as stratocumulus and were observed during the afternoon is 3.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of clouds.\n3 + 2 + 3 + 2 = 10\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{3}{10}\nThe probability that a cloud was marked as stratocumulus and was observed in the afternoon is \\frac{3}{10}.", "answer": "3/10", "table": "| | Morning | Afternoon |\n| --- | --- | --- |\n| Stratocumulus | 3 | 3 |\n| Stratus | 2 | 2 |" } ] }, { "id": "11529", "image": "11529.png", "conversations": [ { "from": "human", "question": "Gabby and her brother like to spot cars with license plates from different states. On a family vacation, they used a frequency chart to record the license plates they saw. How many more Massachusetts license plates than Maine license plates did Gabby and her brother see?\n" }, { "from": "gpt", "solution": "The frequencies tell you how license plates from each state Gabby and her brother saw. Start by finding how many license plates were from Massachusetts or Maine.\nGabby and her brother saw 4 Maine license plates and 21 Massachusetts license plates. Subtract to find the difference.\n21 − 4 = 17\nGabby and her brother saw 17 more Massachusetts license plates.", "answer": "17", "table": "**License plates**\n\n| State | Frequency |\n| --- | --- |\n| Connecticut | 17 |\n| Maine | 4 |\n| Massachusetts | 21 |\n| New Hampshire | 11 |\n| New York | 13 |\n| Vermont | 9 |" } ] }, { "id": "11537", "image": "11537.png", "conversations": [ { "from": "human", "question": "Dr. Newton, a zoo director, researched ticket prices at other zoos around the country. Which charges less for an adult ticket, the Central Florida Zoo or the Atlanta Zoo?\n" }, { "from": "gpt", "solution": "Find the Adult column. Compare the numbers in this column for Central Florida and Atlanta.\n\n$11.00 is less than $19.00. The Central Florida Zoo charges less for an adult.", "answer": "Central Florida", "table": "**Zoo ticket prices**\n\n| Zoo | Adult | Child |\n| --- | --- | --- |\n| Denver | $12 | $7 |\n| Bronx | $15 | $11 |\n| Houston | $10 | $6 |\n| Atlanta | $19 | $14 |\n| Central Florida | $11 | $7 |" } ] }, { "id": "11551", "image": "11551.png", "conversations": [ { "from": "human", "question": "How much money does Dan need to buy a grape lollipop and a caramel?\n" }, { "from": "gpt", "solution": "Add the price of a grape lollipop and the price of a caramel:\n\n$0.40 + $0.13 = $0.53\n\nDan needs $0.53.", "answer": "0.53", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| gumball | $0.11 |\n| peanut butter cup | $0.15 |\n| caramel | $0.13 |\n| grape lollipop | $0.40 |" } ] }, { "id": "11552", "image": "11552.png", "conversations": [ { "from": "human", "question": "The Kingwood Ski Resort asked its guests how many times they went sledding last winter. How many guests went sledding more than 2 times?\n" }, { "from": "gpt", "solution": "Find the row for 3 times and read the frequency. The frequency is 0.\n\n0 guests went sledding more than 2 times.", "answer": "0", "table": "**Sledding last winter**\n\n| Number of times | Frequency |\n| --- | --- |\n| 0 | 6 |\n| 1 | 4 |\n| 2 | 17 |\n| 3 | 0 |" } ] }, { "id": "11559", "image": "11559.png", "conversations": [ { "from": "human", "question": "In science class, Eve is measuring the temperature of different chemical mixtures. The temperatures of two mixtures are shown in the table. Which mixture's temperature is closest to zero?\n" }, { "from": "gpt", "solution": "A positive number means the temperature is above zero. A negative number means the temperature is below zero.\nTo find the temperature closest to zero, use absolute value. The absolute value of a temperature tells you how far it is from zero.\nBromine mixture: |-4| = 4\nAcetone mixture: |5| = 5\nThe temperature of the bromine mixture is closest to zero. It is only 4 degrees below zero.", "answer": "bromine mixture", "table": "| Mixture | Temperature (°C) |\n| --- | --- |\n| Bromine mixture | -4 |\n| Acetone mixture | 5 |" } ] }, { "id": "11564", "image": "11564.png", "conversations": [ { "from": "human", "question": "A candy dispenser put various numbers of orange candies into bags. How many bags had at least 10 orange candies but fewer than 20 orange candies?\n" }, { "from": "gpt", "solution": "Count all the leaves in the row with stem 1.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 bags had at least 10 orange candies but fewer than 20 orange candies.", "answer": "4", "table": "**Orange candies per bag**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 4, 7, 8, 9 |\n| 2 | |\n| 3 | 4, 4, 6, 6, 9, 9 |\n| 4 | 7 |\n| 5 | 1, 3, 6 |\n| 6 | 1, 6, 8, 8, 9 |" } ] }, { "id": "11565", "image": "11565.png", "conversations": [ { "from": "human", "question": "Jerry looked over his calendar to see how many times he had soccer practice each month. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 5, 7, 7, 7, 8, 7\n\nFirst, arrange the numbers from least to greatest:\n\n5, 6, 7, 7, 7, 7, 8\n\nNow find the number in the middle.\n\n5, 6, 7, 7, 7, 7, 8\n\nThe number in the middle is 7.\n\nThe median is 7.", "answer": "7", "table": "**Soccer practice**\n\n| Month | Number of practices |\n| --- | --- |\n| April | 6 |\n| May | 5 |\n| June | 7 |\n| July | 7 |\n| August | 7 |\n| September | 8 |\n| October | 7 |" } ] }, { "id": "11566", "image": "11566.png", "conversations": [ { "from": "human", "question": "Deb has $55. Does she have enough to buy a pink sweater and a pair of shorts?\n" }, { "from": "gpt", "solution": "Add the price of a pink sweater and the price of a pair of shorts:\n\n$30 + $24 = $54\n\n$54 is less than $55. Deb does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pair of shorts | $24 |\n| pink sweater | $30 |\n| pair of brown pants | $22 |\n| pair of sweat pants | $12 |\n| green dress | $48 |" } ] }, { "id": "11571", "image": "11571.png", "conversations": [ { "from": "human", "question": "A food magazine published a listing of local restaurant ratings. What is the highest rating?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 5.\n\nNow find the highest leaf in the last row. The highest leaf is 0.\n\nThe highest rating has a stem of 5 and a leaf of 0. Write the stem first, then the leaf: 50.\n\nThe highest rating is 50 points.", "answer": "50", "table": "**Restaurant ratings**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 2, 6, 7 |\n| 2 | 1, 3, 8, 9 |\n| 3 | 5, 8 |\n| 4 | 0, 0, 2, 4, 5, 7, 7, 9 |\n| 5 | 0 |" } ] }, { "id": "11577", "image": "11577.png", "conversations": [ { "from": "human", "question": "A gymnast jotted down the number of cartwheels she did each day. On which day did the gymnast do the most cartwheels?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 98.\n\nNow find the corresponding day. Friday corresponds to 98.", "answer": "Friday", "table": "**Doing cartwheels**\n\n| Day | Number of cartwheels |\n| --- | --- |\n| Wednesday | 95 |\n| Thursday | 97 |\n| Friday | 98 |\n| Saturday | 93 |" } ] }, { "id": "11582", "image": "11582.png", "conversations": [ { "from": "human", "question": "A Technical Assistance Manager monitored his customers' wait times. How many people waited for at least 81 minutes but less than 87 minutes?\n" }, { "from": "gpt", "solution": "Find the row with stem 8. Count all the leaves greater than or equal to 1 and less than 7.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 people waited for at least 81 minutes but less than 87 minutes.", "answer": "2", "table": "**Technical assistance wait times (minutes)**\n\n| Stem | Leaf |\n| --- | --- |\n| 5 | 1 |\n| 6 | 3, 3, 6, 9, 9 |\n| 7 | 1, 2, 6 |\n| 8 | 2, 5 |" } ] }, { "id": "11584", "image": "11584.png", "conversations": [ { "from": "human", "question": "After a field trip to the park, students in Mrs. Shaffer's art class counted the number of leaf rubbings they had made. How many students are there in all?\n" }, { "from": "gpt", "solution": "Add the frequencies for each row.\n\nAdd:\n\n14 + 5 + 15 + 11 + 3 + 10 + 17 = 75\n\nThere are 75 students in all.", "answer": "75", "table": "**Making leaf rubbings**\n\n| Leaf rubbings made | Frequency |\n| --- | --- |\n| 0 | 14 |\n| 1 | 5 |\n| 2 | 15 |\n| 3 | 11 |\n| 4 | 3 |\n| 5 | 10 |\n| 6 | 17 |" } ] }, { "id": "11585", "image": "11585.png", "conversations": [ { "from": "human", "question": "At a swim meet, Wyatt noted the size of various swim teams. How many teams have fewer than 80 swimmers?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1, 2, 3, 4, 5, 6, and 7.\n\nYou counted 21 leaves, which are blue in the stem-and-leaf plot above. 21 teams have fewer than 80 swimmers.", "answer": "21", "table": "**Swimming team sizes (number of swimmers)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 8 |\n| 2 | 4, 4, 4, 8 |\n| 3 | 3, 4 |\n| 4 | 1, 3, 3, 7, 9 |\n| 5 | 3, 5 |\n| 6 | 0, 5, 9 |\n| 7 | 3, 4, 7 |" } ] }, { "id": "11586", "image": "11586.png", "conversations": [ { "from": "human", "question": "At a science museum, visitors can compete to see who has a faster reaction time. Competitors watch a red screen, and the moment they see it turn from red to green, they push a button. The machine records their reaction times and also asks competitors to report their gender. What is the probability that a randomly selected competitor reacted in less than 0.3 seconds and was female? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the competitor reacted in less than 0.3 seconds\" and B be the event \"the competitor was female\".\nTo find the probability that a competitor reacted in less than 0.3 seconds and was female, first identify the sample space and the event.\nThe outcomes in the sample space are the different competitors. Each competitor is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the competitor reacted in less than 0.3 seconds and was female\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the competitor reacted in less than 0.3 seconds and was female\", so look at the table to see how many competitors reacted in less than 0.3 seconds and were female.\nThe number of competitors who reacted in less than 0.3 seconds and were female is 1.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of competitors.\n3 + 2 + 1 + 4 = 10\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{1}{10}\nThe probability that a competitor reacted in less than 0.3 seconds and was female is \\frac{1}{10}.", "answer": "1/10", "table": "| | Male | Female |\n| --- | --- | --- |\n| Less than 0.3 seconds | 3 | 1 |\n| 0.3 to 0.7 seconds | 2 | 4 |" } ] }, { "id": "11587", "image": "11587.png", "conversations": [ { "from": "human", "question": "Lexi spent a week at the beach and recorded the number of shells she found each day. According to the table, what was the rate of change between Wednesday and Thursday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{4 shells - 4 shells}{1 day}\n = \\frac{0 shells}{1 day}\n = 0 shells per day\nThe rate of change between Wednesday and Thursday was 0 shells per day.", "answer": "0", "table": "**Shells Lexi found**\n\n| Day | Number of shells |\n| --- | --- |\n| Sunday | 5 |\n| Monday | 8 |\n| Tuesday | 5 |\n| Wednesday | 4 |\n| Thursday | 4 |" } ] }, { "id": "11593", "image": "11593.png", "conversations": [ { "from": "human", "question": "Stacy kept track of how many laps she swam during the past 4 days. On which day did Stacy swim the fewest laps?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 82.\n\nNow find the corresponding day. Sunday corresponds to 82.", "answer": "Sunday", "table": "**Laps swum**\n\n| Day | Number of laps |\n| --- | --- |\n| Friday | 88 |\n| Saturday | 84 |\n| Sunday | 82 |\n| Monday | 86 |" } ] }, { "id": "11597", "image": "11597.png", "conversations": [ { "from": "human", "question": "How much more does a spool of thread cost than a tube of paste?\n" }, { "from": "gpt", "solution": "Subtract the price of a tube of paste from the price of a spool of thread.\n\n$0.74 - $0.54 = $0.20\n\nA spool of thread costs $0.20 more than a tube of paste.", "answer": "0.20", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| spool of metallic cord | $0.62 |\n| fake red rose | $0.77 |\n| tube of paste | $0.54 |\n| spool of gold wire | $0.18 |\n| spool of thread | $0.74 |" } ] }, { "id": "11604", "image": "11604.png", "conversations": [ { "from": "human", "question": "Devin has $30. Does he have enough to buy a pair of sweat pants and a blue sweater?\n" }, { "from": "gpt", "solution": "Add the price of a pair of sweat pants and the price of a blue sweater:\n\n$10 + $20 = $30\n\nSince Devin has $30, he has just enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pair of shorts | $29 |\n| pair of sweat pants | $10 |\n| blue sweater | $20 |\n| pair of khaki pants | $23 |" } ] }, { "id": "11609", "image": "11609.png", "conversations": [ { "from": "human", "question": "A dog show enthusiast recorded the weight of the winning dog at recent dog shows. According to the table, what was the rate of change between 2016 and 2017?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{40 kilograms - 29 kilograms}{2017 - 2016}\n = \\frac{40 kilograms - 29 kilograms}{1 year}\n = \\frac{11 kilograms}{1 year}\n = 11 kilograms per year\nThe rate of change between 2016 and 2017 was 11 kilograms per year.", "answer": "11", "table": "**Weight of winning dog at a dog show**\n\n| Year | Weight (kg) |\n| --- | --- |\n| 2013 | 27 |\n| 2014 | 28 |\n| 2015 | 34 |\n| 2016 | 29 |\n| 2017 | 40 |" } ] }, { "id": "11613", "image": "11613.png", "conversations": [ { "from": "human", "question": "The receptionist at a doctor's office kept track of each patient's wait time. What is the shortest wait time?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 5.\n\nNow find the lowest leaf in the first row. The lowest leaf is 3.\n\nThe shortest wait time has a stem of 5 and a leaf of 3. Write the stem first, then the leaf: 53.\n\nThe shortest wait time is 53 minutes.", "answer": "53", "table": "**Doctor's office wait times (minutes)**\n\n| Stem | Leaf |\n| --- | --- |\n| 5 | 3, 3, 5, 6, 8, 8 |\n| 6 | 2 |\n| 7 | 4, 9 |\n| 8 | 2, 3, 4, 7 |\n| 9 | 0 |" } ] }, { "id": "11623", "image": "11623.png", "conversations": [ { "from": "human", "question": "Each plant has 5 tomatoes. How many tomatoes are on 4 plants?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 20 tomatoes on 4 plants.", "answer": "20", "table": "| Number of plants | Number of tomatoes |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | ? |" } ] }, { "id": "11629", "image": "11629.png", "conversations": [ { "from": "human", "question": "For an assignment, Myra looked at which countries got the most Nobel Prizes in various decades. In the 1960s, how many more Nobel Prize winners did Germany have than Canada?\n" }, { "from": "gpt", "solution": "Find the 1960 s column. Find the numbers in this column for Germany and Canada.\n\nGermany: 10\nCanada: 1\n\nNow subtract:\n\n10 − 1 = 9\n\nGermany had 9 more Nobel Prize winners in the 1960 s than Canada.", "answer": "9", "table": "**Nobel Prize winners**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 1960s | 1970s |\n| Germany | 10 | 9 |\n| Japan | 2 | 2 |\n| Canada | 1 | 2 |\n| France | 7 | 3 |" } ] }, { "id": "11633", "image": "11633.png", "conversations": [ { "from": "human", "question": "The bird watcher counted the number of birds in each flock that passed overhead. How many flocks had at least 30 birds but fewer than 70 birds?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 3, 4, 5, and 6.\n\nYou counted 8 leaves, which are blue in the stem-and-leaf plot above. 8 flocks had at least 30 birds but fewer than 70 birds.", "answer": "8", "table": "**Birds per flock**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1, 1, 8 |\n| 2 | 2, 4, 9 |\n| 3 | 1, 5, 5 |\n| 4 | 2, 7, 9 |\n| 5 | |\n| 6 | 2, 7 |\n| 7 | 1, 1, 3, 8 |" } ] }, { "id": "11636", "image": "11636.png", "conversations": [ { "from": "human", "question": "Jackson buys 3 pounds of sour cream. What is the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the sour cream. Multiply the price per pound by the number of pounds.\n\n$5 × 3 = $15\n\nThe total cost is $15.", "answer": "15", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| cream cheese | $3/lb |\n| plain yogurt | $3/lb |\n| Greek yogurt | $3/lb |\n| cottage cheese | $5/lb |\n| sour cream | $5/lb |" } ] }, { "id": "11642", "image": "11642.png", "conversations": [ { "from": "human", "question": "Mitchell kept a driving log to see how many miles he drove each day. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 8, 7, 6, 7, 8\n\nFirst, arrange the numbers from least to greatest:\n\n6, 7, 7, 7, 8, 8\n\nNow count how many times each number appears.\n\n6 appears 1 time.\n7 appears 3 times.\n8 appears 2 times.\n\nThe number that appears most often is 7.\n\nThe mode is 7.", "answer": "7", "table": "**Miles driven**\n\n| Day | Number of miles |\n| --- | --- |\n| Friday | 7 |\n| Saturday | 8 |\n| Sunday | 7 |\n| Monday | 6 |\n| Tuesday | 7 |\n| Wednesday | 8 |" } ] }, { "id": "11651", "image": "11651.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{10 - 20}{7 - 6}\n = \\frac{-10}{1}\n = -10\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{0 - 20}{8 - 6}\n = \\frac{-20}{2}\n = -10\nThe two rates of change are the same.\n10.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 6 | 20 |\n| 7 | 10 |\n| 8 | 0 |" } ] }, { "id": "11655", "image": "11655.png", "conversations": [ { "from": "human", "question": "Shelby has $0.15. Does she have enough to buy a red kazoo and a green bouncy ball?\n" }, { "from": "gpt", "solution": "Add the price of a red kazoo and the price of a green bouncy ball:\n\n$0.06 + $0.09 = $0.15\n\nSince Shelby has $0.15, she has just enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| green bouncy ball | $0.09 |\n| blue plastic block | $0.04 |\n| colorful pinwheel | $0.05 |\n| wooden block | $0.04 |\n| red kazoo | $0.06 |\n| green marble | $0.01 |" } ] }, { "id": "11663", "image": "11663.png", "conversations": [ { "from": "human", "question": "A toy store employee counted the number of toys in each bin in the sale section. How many bins had exactly 43 toys?\n" }, { "from": "gpt", "solution": "For the number 43, the stem is 4, and the leaf is 3. Find the row where the stem is 4. In that row, count all the leaves equal to 3.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 bins had exactly 43 toys.", "answer": "4", "table": "**Toys per bin**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 3, 3, 3, 3, 7, 8 |\n| 5 | 2, 2, 2, 4, 6 |\n| 6 | 2, 4, 6, 6 |\n| 7 | 2, 3 |\n| 8 | 0, 0, 2, 4, 5, 5 |" } ] }, { "id": "11668", "image": "11668.png", "conversations": [ { "from": "human", "question": "Each tank has 5 frogs. How many frogs are in 5 tanks?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 25 frogs in 5 tanks.", "answer": "25", "table": "| Number of tanks | Number of frogs |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | 20 |\n| 5 | ? |" } ] }, { "id": "11674", "image": "11674.png", "conversations": [ { "from": "human", "question": "In hopes of raising more funds for arts education, some parents in the Kingwood School District publicized the current per-student arts education budget. According to the table, what was the rate of change between 2015 and 2016?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{$28 - $27}{2016 - 2015}\n = \\frac{$28 - $27}{1 year}\n = \\frac{$1}{1 year}\n = $1 per year\nThe rate of change between 2015 and 2016 was $1 per year.", "answer": "1", "table": "**Kingwood arts education budget**\n\n| Year | Per-student budget |\n| --- | --- |\n| 2012 | $33 |\n| 2013 | $29 |\n| 2014 | $33 |\n| 2015 | $27 |\n| 2016 | $28 |" } ] }, { "id": "11679", "image": "11679.png", "conversations": [ { "from": "human", "question": "Each package has 10 popsicles. How many popsicles are in 6 packages?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 60 popsicles in 6 packages.", "answer": "60", "table": "| Number of packages | Number of popsicles |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | 40 |\n| 5 | 50 |\n| 6 | ? |" } ] }, { "id": "11685", "image": "11685.png", "conversations": [ { "from": "human", "question": "Ruth went on a bird watching trip and jotted down the number of birds she saw each day. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n8, 4, 10, 9, 2, 3\n\nFirst, count how many numbers are in the group.\n\nThere are 6 numbers.\n\nNow add all the numbers together:\n\n8 + 4 + 10 + 9 + 2 + 3 = 36\n\nNow divide the sum by the number of numbers:\n\n36 ÷ 6 = 6\n\nThe mean is 6.", "answer": "6", "table": "**Number of birds**\n\n| Day | Number of birds |\n| --- | --- |\n| Tuesday | 8 |\n| Wednesday | 4 |\n| Thursday | 10 |\n| Friday | 9 |\n| Saturday | 2 |\n| Sunday | 3 |" } ] }, { "id": "11686", "image": "11686.png", "conversations": [ { "from": "human", "question": "Cindy went to the store. She bought 3 kilograms of boysenberry jam and 4 kilograms of raspberry jam. How much did she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the boysenberry jam. Multiply:\n\n$3 × 3 = $9\n\nFind the cost of the raspberry jam. Multiply:\n\n$2 × 4 = $8\n\nNow find the total cost by adding:\n\n$9 + $8 = $17\n\nShe spent $17.", "answer": "17", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| marmalade | $2 per kg |\n| boysenberry jam | $3 per kg |\n| raspberry jam | $2 per kg |\n| blueberry jam | $2 per kg |\n| blackberry jam | $3 per kg |\n| apple butter | $2 per kg |" } ] }, { "id": "11690", "image": "11690.png", "conversations": [ { "from": "human", "question": "The manager of a party supply store researched how many balloons it sold in the past 4 days. How many balloons in total did the store sell on Monday and Tuesday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nMonday: 193\nTuesday: 142\n\nNow add: 193 + 142 = 335.\n\nThe store sold 335 balloons on Monday and Tuesday.", "answer": "335", "table": "**Balloons sold**\n\n| Day | Number of balloons |\n| --- | --- |\n| Sunday | 564 |\n| Monday | 193 |\n| Tuesday | 142 |\n| Wednesday | 251 |" } ] }, { "id": "11695", "image": "11695.png", "conversations": [ { "from": "human", "question": "The employee at the department store counted the number of ties on each tie rack. How many racks have fewer than 62 ties?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1, 2, 3, 4, and 5.\n\nIn the row with stem 6, count all the leaves less than 2.\n\nYou counted 6 leaves, which are blue in the stem-and-leaf plots above. 6 racks have fewer than 62 ties.", "answer": "6", "table": "**Ties per rack**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 4 |\n| 2 | 5, 6 |\n| 3 | |\n| 4 | 3 |\n| 5 | 5 |\n| 6 | 0 |" } ] }, { "id": "11696", "image": "11696.png", "conversations": [ { "from": "human", "question": "Riley counted the number of silver beads on each bracelet at Brookfield Jewelry, the store where she works. How many bracelets had at least 60 silver beads but fewer than 70 silver beads?\n" }, { "from": "gpt", "solution": "Count all the leaves in the row with stem 6.\n\nYou counted 7 leaves, which are blue in the stem-and-leaf plot above. 7 bracelets had at least 60 silver beads but fewer than 70 silver beads.", "answer": "7", "table": "**Silver beads per bracelet**\n\n| Stem | Leaf |\n| --- | --- |\n| 6 | 1, 3, 5, 5, 6, 7, 9 |\n| 7 | 1, 2 |\n| 8 | 0, 3, 3, 4, 5, 7 |\n| 9 | 0 |" } ] }, { "id": "11698", "image": "11698.png", "conversations": [ { "from": "human", "question": "How much money does Finn need to buy 2 bottles of mustard?\n" }, { "from": "gpt", "solution": "Find the total cost of 2 bottles of mustard by multiplying 2 times the price of a bottle of mustard.\n\n$0.80 × 2 = $1.60\n\nFinn needs $1.60.", "answer": "1.60", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| bottle of ketchup | $0.78 |\n| bottle of hot sauce | $0.90 |\n| bottle of mustard | $0.80 |\n| bottle of soy sauce | $0.85 |\n| jar of tomato sauce | $0.63 |\n| jar of salsa | $0.96 |" } ] }, { "id": "11707", "image": "11707.png", "conversations": [ { "from": "human", "question": "At a school carnival, a curious student volunteer counted the number of times visitors to her booth spun the numbers 1 through 6. How many people are there in all?\n" }, { "from": "gpt", "solution": "Add the frequencies for each row.\n\nAdd:\n\n3 + 11 + 13 + 0 + 7 + 4 = 38\n\nThere are 38 people in all.", "answer": "38", "table": "**Spinning a wheel numbered 1 through 6**\n\n| Number spun | Frequency |\n| --- | --- |\n| 1 | 3 |\n| 2 | 11 |\n| 3 | 13 |\n| 4 | 0 |\n| 5 | 7 |\n| 6 | 4 |" } ] }, { "id": "11709", "image": "11709.png", "conversations": [ { "from": "human", "question": "If Isaiah buys 1 kilogram of romaine lettuce, how much will he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the romaine lettuce. Multiply the price per kilogram by the number of kilograms.\n\n$0.46 × 1 = $0.46\n\nHe will spend $0.46.", "answer": "0.46", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| romaine lettuce | $0.46/kilogram |\n| summer crisp lettuce | $1.38/kilogram |\n| Chinese lettuce | $1.19/kilogram |\n| butterhead lettuce | $0.40/kilogram |" } ] }, { "id": "11712", "image": "11712.png", "conversations": [ { "from": "human", "question": "Some friends played a trivia game and recorded their scores. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n2, 4, 7, 2, 7, 7, 4, 7\n\nFirst, arrange the numbers from least to greatest:\n\n2, 2, 4, 4, 7, 7, 7, 7\n\nNow count how many times each number appears.\n\n2 appears 2 times.\n4 appears 2 times.\n7 appears 4 times.\n\nThe number that appears most often is 7.\n\nThe mode is 7.", "answer": "7", "table": "**Trivia game scores**\n\n| Name | Score |\n| --- | --- |\n| Xavier | 2 |\n| Natalie | 4 |\n| Brendan | 7 |\n| Dalton | 2 |\n| Hazel | 7 |\n| Victor | 7 |\n| Winston | 4 |\n| Lillian | 7 |" } ] }, { "id": "11715", "image": "11715.png", "conversations": [ { "from": "human", "question": "How much more does a smooth piece of marble cost than a piece of black mica?\n" }, { "from": "gpt", "solution": "Subtract the price of a piece of black mica from the price of a smooth piece of marble.\n\n$0.95 - $0.78 = $0.17\n\nA smooth piece of marble costs $0.17 more than a piece of black mica.", "answer": "0.17", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| piece of copper | $0.64 |\n| smooth piece of marble | $0.95 |\n| piece of black mica | $0.78 |\n| smooth piece of sea glass | $0.52 |\n| yellow tiger's eye | $0.49 |\n| pumice stone | $0.56 |" } ] }, { "id": "11720", "image": "11720.png", "conversations": [ { "from": "human", "question": "A volunteer for the local running club counted the number of participants at each race. How many races had at least 66 participants but fewer than 86 participants?\n" }, { "from": "gpt", "solution": "Find the row with stem 6. Count all the leaves greater than or equal to 6.\n\nCount all the leaves in the row with stem 7.\n\nIn the row with stem 8, count all the leaves less than 6.\n\nYou counted 5 leaves, which are blue in the stem-and-leaf plots above. 5 races had at least 66 participants but fewer than 86 participants.", "answer": "5", "table": "**Participants per race**\n\n| Stem | Leaf |\n| --- | --- |\n| 0 | 3, 9 |\n| 1 | |\n| 2 | |\n| 3 | |\n| 4 | 3, 5, 5, 9 |\n| 5 | 7 |\n| 6 | 7 |\n| 7 | 0, 3, 4 |\n| 8 | 5 |\n| 9 | 0 |" } ] }, { "id": "11726", "image": "11726.png", "conversations": [ { "from": "human", "question": "Kyle's campground is close to two hiking trails with scenic destinations. One trail ends at an underground lake in the bottom of a small cave. The other trail ends at a mountain peak. The elevation of each destination is shown on the campground map. Which trail's destination is farther from sea level?\n" }, { "from": "gpt", "solution": "The underground lake's elevation is negative, so it is below sea level. The mountain peak's elevation is positive, so it is above sea level.\nTo find the destination farther from sea level, use absolute value. Absolute value tells you how far each destination is from sea level.\nUnderground lake: |-350| = 350\nMountain peak: |325| = 325\nThe underground lake is 350 feet below sea level, and the mountain peak is only 325 feet above sea level. The underground lake is farther from sea level.", "answer": "underground lake", "table": "| Destination | Elevation (ft.) |\n| --- | --- |\n| Underground lake | -350 |\n| Mountain peak | 325 |" } ] }, { "id": "11734", "image": "11734.png", "conversations": [ { "from": "human", "question": "Each bus has 10 students. How many students are on 6 buses?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 60 students on 6 buses.", "answer": "60", "table": "| Number of buses | Number of students |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | 40 |\n| 5 | 50 |\n| 6 | ? |" } ] }, { "id": "11735", "image": "11735.png", "conversations": [ { "from": "human", "question": "A philanthropic organization compared the amounts of money that its members donated to certain causes. Who donated more money to job training, Aaron or Donald?\n" }, { "from": "gpt", "solution": "Find the Job training column. Compare the numbers in this column for Aaron and Donald.\n\n$10.00 is more than $9.00. Donald donated more money to job training.", "answer": "Donald", "table": "**Donations**\n\n| Person | Clean water | Job training |\n| --- | --- | --- |\n| John | $2 | $9 |\n| Jayce | $14 | $15 |\n| Aaron | $6 | $9 |\n| Monica | $14 | $6 |\n| Donald | $9 | $10 |" } ] }, { "id": "11740", "image": "11740.png", "conversations": [ { "from": "human", "question": "A real estate agent drove around the neighborhood and counted the number of houses on each block. How many blocks have at least 10 houses?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1, 2, and 3.\n\nYou counted 19 leaves, which are blue in the stem-and-leaf plot above. 19 blocks have at least 10 houses.", "answer": "19", "table": "**Houses per block**\n\n| Stem | Leaf |\n| --- | --- |\n| 0 | 5, 5, 9, 9 |\n| 1 | 1, 1, 1, 1, 2, 8, 9 |\n| 2 | 0, 0, 2, 4, 6 |\n| 3 | 1, 3, 4, 4, 5, 8, 9 |" } ] }, { "id": "11749", "image": "11749.png", "conversations": [ { "from": "human", "question": "Molly, a fitness counselor, counted the number of pull-ups completed by each bootcamp participant. How many participants did more than 1 pull-up?\n" }, { "from": "gpt", "solution": "Find the rows for 2 and 3 pull-ups. Add the frequencies for these rows.\n\nAdd:\n\n5 + 13 = 18\n\n18 participants did more than 1 pull-up.", "answer": "18", "table": "**Doing pull-ups**\n\n| Number of pull-ups | Frequency |\n| --- | --- |\n| 0 | 18 |\n| 1 | 7 |\n| 2 | 5 |\n| 3 | 13 |" } ] }, { "id": "11761", "image": "11761.png", "conversations": [ { "from": "human", "question": "Stacy kept track of how many kilometers she walked during the past 5 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n3, 2, 1, 6, 8\n\nFirst, find the greatest number. The greatest number is 8.\n\nNext, find the least number. The least number is 1.\n\nSubtract the least number from the greatest number:\n\n8 − 1 = 7\n\nThe range is 7.", "answer": "7", "table": "**Kilometers walked**\n\n| Day | Kilometers |\n| --- | --- |\n| Friday | 3 |\n| Saturday | 2 |\n| Sunday | 1 |\n| Monday | 6 |\n| Tuesday | 8 |" } ] }, { "id": "11762", "image": "11762.png", "conversations": [ { "from": "human", "question": "For a math assignment, Wayne researched the scores of the people competing on his favorite quiz show. How many people scored at least 24 points?\n" }, { "from": "gpt", "solution": "Find the row with stem 2. Count all the leaves greater than or equal to 4.\n\nCount all the leaves in the rows with stems 3, 4, 5, 6, 7, and 8.\n\nYou counted 6 leaves, which are blue in the stem-and-leaf plots above. 6 people scored at least 24 points.", "answer": "6", "table": "**Quiz show scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 3, 4 |\n| 3 | |\n| 4 | 0 |\n| 5 | 8 |\n| 6 | 9 |\n| 7 | 0 |\n| 8 | 0 |" } ] }, { "id": "11774", "image": "11774.png", "conversations": [ { "from": "human", "question": "A pizza chef recalled how many pizzas she had made during the past 7 days. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n96, 92, 97, 97, 94, 94, 95\n\nFirst, count how many numbers are in the group.\n\nThere are 7 numbers.\n\nNow add all the numbers together:\n\n96 + 92 + 97 + 97 + 94 + 94 + 95 = 665\n\nNow divide the sum by the number of numbers:\n\n665 ÷ 7 = 95\n\nThe mean is 95.", "answer": "95", "table": "**Pizzas made**\n\n| Day | Number of pizzas |\n| --- | --- |\n| Sunday | 96 |\n| Monday | 92 |\n| Tuesday | 97 |\n| Wednesday | 97 |\n| Thursday | 94 |\n| Friday | 94 |\n| Saturday | 95 |" } ] }, { "id": "11785", "image": "11785.png", "conversations": [ { "from": "human", "question": "Jayla kept track of how many kilometers she walked during the past 7 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n0, 5, 0, 2, 7, 5, 2\n\nFirst, find the greatest number. The greatest number is 7.\n\nNext, find the least number. The least number is 0.\n\nSubtract the least number from the greatest number:\n\n7 − 0 = 7\n\nThe range is 7.", "answer": "7", "table": "**Kilometers walked**\n\n| Day | Kilometers |\n| --- | --- |\n| Monday | 0 |\n| Tuesday | 5 |\n| Wednesday | 0 |\n| Thursday | 2 |\n| Friday | 7 |\n| Saturday | 5 |\n| Sunday | 2 |" } ] }, { "id": "11786", "image": "11786.png", "conversations": [ { "from": "human", "question": "Each restaurant has 5 chefs. How many chefs are in 5 restaurants?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 25 chefs in 5 restaurants.", "answer": "25", "table": "| Number of restaurants | Number of chefs |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | 20 |\n| 5 | ? |" } ] }, { "id": "11792", "image": "11792.png", "conversations": [ { "from": "human", "question": "The employees at Zachary's Construction monitored the number of cracked window panes in each shipment they received. How many shipments had at least 75 cracked window panes but less than 85 cracked window panes?\n" }, { "from": "gpt", "solution": "Find the row with stem 7. Count all the leaves greater than or equal to 5.\n\nIn the row with stem 8, count all the leaves less than 5.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plots above. 4 shipments had at least 75 cracked window panes but less than 85 cracked window panes.", "answer": "4", "table": "**Cracked window panes per shipment**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 2, 4, 6 |\n| 5 | 9 |\n| 6 | |\n| 7 | 4, 7, 7 |\n| 8 | 1, 4, 5, 5 |" } ] }, { "id": "11795", "image": "11795.png", "conversations": [ { "from": "human", "question": "Look at this table. Is this relation a function?\n" }, { "from": "gpt", "solution": "Look at the x-values in the table.\n\nThe x-value 18 is paired with multiple y-values, so the relation is not a function.", "answer": "no", "table": "| x | y |\n| --- | --- |\n| 12 | 20 |\n| 18 | 6 |\n| 18 | 11 |" } ] }, { "id": "11802", "image": "11802.png", "conversations": [ { "from": "human", "question": "A stock broker followed the stock prices of a certain set of companies. Which company's stock cost more on Wednesday, Houston Sporting Goods or White and Company?\n" }, { "from": "gpt", "solution": "Find the Wednesday column. Compare the numbers in this column for Houston Sporting Goods and White and Company.\n\n$5.00 is more than $4.00. On Wednesday, Houston Sporting Goods's stock cost more.", "answer": "Houston Sporting Goods", "table": "**Stock prices**\n\n| Company | Tuesday | Wednesday |\n| --- | --- | --- |\n| Watson and Partners | $12 | $17 |\n| Computer Data Company | $16 | $14 |\n| Houston Sporting Goods | $11 | $5 |\n| White and Company | $6 | $4 |" } ] }, { "id": "11808", "image": "11808.png", "conversations": [ { "from": "human", "question": "The transportation company tracked the number of train tickets sold in the past 4 days. How many more tickets were sold on Sunday than on Saturday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nSunday: 568\nSaturday: 156\n\nNow subtract: 568 - 156 = 412.\n\n412 more tickets were sold on Sunday", "answer": "412", "table": "**Train tickets sold**\n\n| Day | Number of tickets |\n| --- | --- |\n| Saturday | 156 |\n| Sunday | 568 |\n| Monday | 398 |\n| Tuesday | 264 |" } ] }, { "id": "11810", "image": "11810.png", "conversations": [ { "from": "human", "question": "Ben has $0.16. Does he have enough to buy an orange cone shell and a pink conch shell?\n" }, { "from": "gpt", "solution": "Add the price of an orange cone shell and the price of a pink conch shell:\n\n$0.09 + $0.08 = $0.17\n\n$0.17 is more than $0.16. Ben does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| orange cone shell | $0.09 |\n| beautiful yellow shell | $0.08 |\n| scallop shell | $0.06 |\n| pink conch shell | $0.08 |\n| pink and white striped shell | $0.09 |" } ] }, { "id": "11812", "image": "11812.png", "conversations": [ { "from": "human", "question": "This is Sandra's complete financial record for December. How much money did Sandra spend on December 29?\n" }, { "from": "gpt", "solution": "Look at the 12/29 row. The expenses were $7.80. So, Sandra spent $7.80 on December 29.\n", "answer": "7.80", "table": "| Date | Description | Received | Expenses | Available Funds |\n| --- | --- | --- | --- | --- |\n| | Balance: end of November | | | $328.20 |\n| 12/5 | wrapping paper | | $4.95 | $323.25 |\n| 12/16 | watching Ms. Taylor's cat | $15.00 | | $338.25 |\n| 12/29 | calendar | | $7.80 | $330.45 |" } ] }, { "id": "11814", "image": "11814.png", "conversations": [ { "from": "human", "question": "For an economics project, Steven determined the cost of ferry rides for bicycles and cars. How much does it cost to take a bicycle on the Fauntleroy-Vashon ferry?\n" }, { "from": "gpt", "solution": "First, find the row for Fauntleroy-Vashon. Then find the number in the Bicycle column.\n\nThis number is $5.00. It costs $5 to take a bicycle on the Fauntleroy-Vashon ferry.", "answer": "5", "table": "**Ferry fares**\n\n| Ferry | Bicycle | Car |\n| --- | --- | --- |\n| Southport-Fort Fisher | $2 | $5 |\n| Fauntleroy-Vashon | $5 | $15 |\n| Mukilteu-Clinton | $5 | $7 |\n| Ocracoke | $3 | $15 |\n| Seattle-Bremerton | $8 | $12 |" } ] }, { "id": "11820", "image": "11820.png", "conversations": [ { "from": "human", "question": "A marketing research firm asked people how many times they visited the mall last month. How many people went to the mall fewer than 3 times?\n" }, { "from": "gpt", "solution": "Find the rows for 0, 1, and 2 times. Add the frequencies for these rows.\n\nAdd:\n\n7 + 11 + 18 = 36\n\n36 people went to the mall fewer than 3 times.", "answer": "36", "table": "**Trips to the mall last month**\n\n| Number of trips | Frequency |\n| --- | --- |\n| 0 | 7 |\n| 1 | 11 |\n| 2 | 18 |\n| 3 | 2 |\n| 4 | 16 |\n| 5 | 14 |" } ] }, { "id": "11821", "image": "11821.png", "conversations": [ { "from": "human", "question": "Doug entered his sister into their town's Smelly Shoe Competition. Doug observed contestants of all ages proudly strutting around wearing different kinds of smelly shoes. What is the probability that a randomly selected contestant is under age 12 and is wearing tennis shoes? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the contestant is under age 12\" and B be the event \"the contestant is wearing tennis shoes\".\nTo find the probability that a contestant is under age 12 and is wearing tennis shoes, first identify the sample space and the event.\nThe outcomes in the sample space are the different contestants. Each contestant is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the contestant is under age 12 and is wearing tennis shoes\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the contestant is under age 12 and is wearing tennis shoes\", so look at the table to see how many contestants are under age 12 and are wearing tennis shoes.\nThe number of contestants who are under age 12 and are wearing tennis shoes is 2.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of contestants.\n2 + 5 + 2 + 4 = 13\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{2}{13}\nThe probability that a contestant is under age 12 and is wearing tennis shoes is \\frac{2}{13}.", "answer": "2/13", "table": "| | Tennis shoes | High heels |\n| --- | --- | --- |\n| Under age 12 | 2 | 2 |\n| 13 to 30 years old | 5 | 4 |" } ] }, { "id": "11823", "image": "11823.png", "conversations": [ { "from": "human", "question": "Dr. Murphy, a pediatrician, weighed all the children who recently visited his office. How many children weighed exactly 79 pounds?\n" }, { "from": "gpt", "solution": "For the number 79, the stem is 7, and the leaf is 9. Find the row where the stem is 7. In that row, count all the leaves equal to 9.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 children weighed exactly 79 pounds.", "answer": "4", "table": "**Children's weights (lbs)**\n\n| Stem | Leaf |\n| --- | --- |\n| 6 | 1, 2, 2, 7, 8, 9 |\n| 7 | 0, 0, 2, 2, 2, 3, 5, 7, 7, 8, 9, 9, 9, 9 |\n| 8 | 5, 5, 8 |\n| 9 | 0, 0 |" } ] }, { "id": "11826", "image": "11826.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which stop does the train depart from at 10.55 A.M.?\n" }, { "from": "gpt", "solution": "Find 10:55 A. M. on the schedule. The train departs from the university at 10:55 A. M.", "answer": "university", "table": "**Subway train schedule**\n\n| Location | Time |\n| --- | --- |\n| history museum | 10:10 A.M. |\n| university | 10:55 A.M. |\n| theater district | 11:40 A.M. |\n| industrial district | 12:10 P.M. |\n| downtown | 12:45 P.M. |\n| baseball stadium | 1:10 P.M. |\n| civic center | 1:30 P.M. |\n| waterfront | 1:45 P.M. |\n| restaurant district | 1:50 P.M. |" } ] }, { "id": "11830", "image": "11830.png", "conversations": [ { "from": "human", "question": "A stock broker followed the stock prices of a certain set of companies. On Thursday, which company's stock cost the least?\n" }, { "from": "gpt", "solution": "Look at the numbers in the Thursday column. Find the least number in this column.\n\nThe least number is $1.00, which is in the White and Company row. On Thursday, White and Company's stock cost the least.", "answer": "White and Company", "table": "**Stock prices**\n\n| Company | Wednesday | Thursday |\n| --- | --- | --- |\n| White and Company | $4 | $1 |\n| Thompson Corporation | $18 | $17 |\n| Jonas Incorporated | $13 | $20 |" } ] }, { "id": "11832", "image": "11832.png", "conversations": [ { "from": "human", "question": "How much money does Jasmine need to buy a wooden block, a shapes stencil, and a green bouncy ball?\n" }, { "from": "gpt", "solution": "Find the total cost of a wooden block, a shapes stencil, and a green bouncy ball.\n\n$0.01 + $0.07 + $0.06 = $0.14\n\nJasmine needs $0.14.", "answer": "0.14", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| shapes stencil | $0.07 |\n| wooden block | $0.01 |\n| red kazoo | $0.03 |\n| green bouncy ball | $0.06 |" } ] }, { "id": "11834", "image": "11834.png", "conversations": [ { "from": "human", "question": "Eva has $1.26. Does she have enough to buy a cartoon character key chain and a rainbow key chain?\n" }, { "from": "gpt", "solution": "Add the price of a cartoon character key chain and the price of a rainbow key chain:\n\n$0.81 + $0.50 = $1.31\n\n$1.31 is more than $1.26. Eva does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| globe key chain | $0.67 |\n| basketball key chain | $0.63 |\n| alligator key chain | $0.67 |\n| cartoon character key chain | $0.81 |\n| rainbow key chain | $0.50 |" } ] }, { "id": "11836", "image": "11836.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $590, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $590, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $510 | 3,700 | 9,300 |\n| $530 | 3,300 | 11,400 |\n| $550 | 2,900 | 13,500 |\n| $570 | 2,500 | 15,600 |\n| $590 | 2,100 | 17,700 |" } ] }, { "id": "11840", "image": "11840.png", "conversations": [ { "from": "human", "question": "Trent counted the number of words per page in his new book. How many pages have at least 30 words but fewer than 40 words?\n" }, { "from": "gpt", "solution": "Count all the leaves in the row with stem 3.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 pages have at least 30 words but fewer than 40 words.", "answer": "4", "table": "**Words per page**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 4, 5, 7 |\n| 2 | 1, 1, 9 |\n| 3 | 3, 5, 6, 8 |\n| 4 | 1, 2, 3, 7, 8 |\n| 5 | 1, 3, 3, 5, 8 |" } ] }, { "id": "11850", "image": "11850.png", "conversations": [ { "from": "human", "question": "For an economics project, Sidney determined the cost of ferry rides for bicycles and cars. On the Seattle-Bremerton ferry, how much higher is the fare for a car than for a bicycle?\n" }, { "from": "gpt", "solution": "Find the Seattle-Bremerton row. Find the numbers in this row for car and bicycle.\n\ncar: $12.00\nbicycle: $8.00\n\nNow subtract:\n\n$12.00 − $8.00 = $4.00\n\nOn the Seattle-Bremerton ferry, the fare for a car is $4 higher than the fare for a bicycle.", "answer": "4", "table": "**Ferry fares**\n\n| Ferry | Bicycle | Car |\n| --- | --- | --- |\n| Southport-Fort Fisher | $2 | $5 |\n| Seattle-Bremerton | $8 | $12 |\n| Ocracoke | $3 | $15 |" } ] }, { "id": "11853", "image": "11853.png", "conversations": [ { "from": "human", "question": "Ms. Ferguson reported her students' scores on the most recent quiz. How many students scored exactly 31 points?\n" }, { "from": "gpt", "solution": "For the number 31, the stem is 3, and the leaf is 1. Find the row where the stem is 3. In that row, count all the leaves equal to 1.\n\nYou counted 0 leaves. 0 students scored exactly 31 points.", "answer": "0", "table": "**Quiz scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 1, 6 |\n| 2 | |\n| 3 | 0 |\n| 4 | 6 |\n| 5 | 7 |" } ] }, { "id": "11855", "image": "11855.png", "conversations": [ { "from": "human", "question": "How much more does a package of oatmeal cookies cost than a box of pasta?\n" }, { "from": "gpt", "solution": "Subtract the price of a box of pasta from the price of a package of oatmeal cookies.\n\n$4.76 - $2.66 = $2.10\n\nA package of oatmeal cookies costs $2.10 more than a box of pasta.", "answer": "2.10", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| bag of trail mix | $2.31 |\n| package of oatmeal cookies | $4.76 |\n| box of pasta | $2.66 |\n| package of hot dog buns | $1.62 |\n| bag of sugar | $4.95 |" } ] }, { "id": "11856", "image": "11856.png", "conversations": [ { "from": "human", "question": "Vicky counted the number of problems on each of her tests. What is the smallest number of problems?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 0.\n\nNow find the lowest leaf in the first row. The lowest leaf is 9.\n\nThe smallest number of problems has a stem of 0 and a leaf of 9. Write the stem first, then the leaf: 09.\n\nThe smallest number of problems is 9 problems.", "answer": "9", "table": "**Problems per test**\n\n| Stem | Leaf |\n| --- | --- |\n| 0 | 9, 9 |\n| 1 | 3, 7 |\n| 2 | 1 |\n| 3 | 7, 7, 8 |\n| 4 | 2, 2, 7, 9 |\n| 5 | 1, 3, 3, 8 |\n| 6 | 0, 4 |\n| 7 | 5, 8, 8 |" } ] }, { "id": "11858", "image": "11858.png", "conversations": [ { "from": "human", "question": "Each train car has 5 open seats. How many open seats are in 3 train cars?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 15 open seats in 3 train cars.", "answer": "15", "table": "| Number of train cars | Number of open seats |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | ? |" } ] }, { "id": "11861", "image": "11861.png", "conversations": [ { "from": "human", "question": "Abby, a candy store employee, placed peppermint candies into jars of various sizes. What is the smallest number of peppermint candies?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 1.\n\nNow find the lowest leaf in the first row. The lowest leaf is 0.\n\nThe smallest number of peppermint candies has a stem of 1 and a leaf of 0. Write the stem first, then the leaf: 10.\n\nThe smallest number of peppermint candies is 10 peppermint candies.", "answer": "10", "table": "**Peppermint candies per jar**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 1, 3, 8 |\n| 2 | 2, 2, 8 |\n| 3 | 1, 2, 7, 8, 9 |\n| 4 | 1, 1, 5 |\n| 5 | 1, 2, 5, 8 |" } ] }, { "id": "11862", "image": "11862.png", "conversations": [ { "from": "human", "question": "A farmer counted the number of apples on each tree in his orchard. How many trees have fewer than 68 apples?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 2, 3, 4, and 5.\n\nIn the row with stem 6, count all the leaves less than 8.\n\nYou counted 8 leaves, which are blue in the stem-and-leaf plots above. 8 trees have fewer than 68 apples.", "answer": "8", "table": "**Apples per tree**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 5, 6 |\n| 3 | 3, 4, 9 |\n| 4 | 8 |\n| 5 | 8 |\n| 6 | 0 |" } ] }, { "id": "11865", "image": "11865.png", "conversations": [ { "from": "human", "question": "A gymnast jotted down the number of cartwheels she did each day. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n10, 10, 9, 4, 10, 4, 9\n\nFirst, arrange the numbers from least to greatest:\n\n4, 4, 9, 9, 10, 10, 10\n\nNow count how many times each number appears.\n\n4 appears 2 times.\n9 appears 2 times.\n10 appears 3 times.\n\nThe number that appears most often is 10.\n\nThe mode is 10.", "answer": "10", "table": "**Doing cartwheels**\n\n| Day | Number of cartwheels |\n| --- | --- |\n| Sunday | 10 |\n| Monday | 10 |\n| Tuesday | 9 |\n| Wednesday | 4 |\n| Thursday | 10 |\n| Friday | 4 |\n| Saturday | 9 |" } ] }, { "id": "11871", "image": "11871.png", "conversations": [ { "from": "human", "question": "A museum curator counted the number of paintings in each exhibit at the art museum. How many exhibits have at least 60 paintings?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 6, 7, 8, and 9.\n\nYou counted 8 leaves, which are blue in the stem-and-leaf plot above. 8 exhibits have at least 60 paintings.", "answer": "8", "table": "**Paintings per exhibit**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 2, 2, 7 |\n| 5 | 0, 0, 0, 1, 3, 4, 6, 6, 9 |\n| 6 | 0 |\n| 7 | 0, 1, 2, 7 |\n| 8 | |\n| 9 | 0, 0, 0 |" } ] }, { "id": "11872", "image": "11872.png", "conversations": [ { "from": "human", "question": "A pottery factory kept track of the number of broken plates per shipment last week. What is the smallest number of broken plates?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 2.\n\nNow find the lowest leaf in the first row. The lowest leaf is 7.\n\nThe smallest number of broken plates has a stem of 2 and a leaf of 7. Write the stem first, then the leaf: 27.\n\nThe smallest number of broken plates is 27 broken plates.", "answer": "27", "table": "**Broken plates per shipment**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 7, 8 |\n| 3 | 3 |\n| 4 | 0, 5, 5, 7, 9 |\n| 5 | 1, 2, 5, 6 |\n| 6 | 0, 8 |\n| 7 | 0, 2, 4, 4 |" } ] }, { "id": "11873", "image": "11873.png", "conversations": [ { "from": "human", "question": "A jeweler in Hampton examined which metals his customers selected for wedding bands last year. What fraction of the rings sold had a gold band? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many rings with a gold band were sold.\n\n910\n\nFind how many rings were sold in total.\n\n910 + 570 + 890 = 2,370\n\nDivide 910 by2,370.\n\n\\frac{910}{2,370}\n\nReduce the fraction.\n\n\\frac{910}{2,370} → \\frac{91}{237}\n\n\\frac{91}{237} of rings with a gold band were sold.", "answer": "91/237", "table": "**Wedding ring preference**\n\n| Metal | Rings bought |\n| --- | --- |\n| Gold | 910 |\n| Silver | 570 |\n| Platinum | 890 |" } ] }, { "id": "11874", "image": "11874.png", "conversations": [ { "from": "human", "question": "For a math assignment, Tim researched the scores of the people competing on his favorite quiz show. How many people scored fewer than 82 points?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1, 2, 3, 4, 5, 6, and 7.\n\nIn the row with stem 8, count all the leaves less than 2.\n\nYou counted 9 leaves, which are blue in the stem-and-leaf plots above. 9 people scored fewer than 82 points.", "answer": "9", "table": "**Quiz show scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 3 |\n| 2 | 9 |\n| 3 | 9 |\n| 4 | 1, 6 |\n| 5 | 6 |\n| 6 | 4 |\n| 7 | 2 |\n| 8 | 4 |" } ] }, { "id": "11877", "image": "11877.png", "conversations": [ { "from": "human", "question": "How much more does a cornet cost than a trumpet?\n" }, { "from": "gpt", "solution": "Subtract the price of a trumpet from the price of a cornet.\n\n$934 - $924 = $10\n\nA cornet costs $10 more than a trumpet.", "answer": "10", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| guitar | $522 |\n| trumpet | $924 |\n| trombone | $688 |\n| cornet | $934 |\n| saxophone | $841 |" } ] }, { "id": "11881", "image": "11881.png", "conversations": [ { "from": "human", "question": "A marketing research firm asked people how many times they visited the mall last month. How many people went to the mall at least 4 times?\n" }, { "from": "gpt", "solution": "Find the rows for 4 and 5 times. Add the frequencies for these rows.\n\nAdd:\n\n17 + 6 = 23\n\n23 people went to the mall at least 4 times.", "answer": "23", "table": "**Trips to the mall last month**\n\n| Number of trips | Frequency |\n| --- | --- |\n| 0 | 19 |\n| 1 | 3 |\n| 2 | 5 |\n| 3 | 2 |\n| 4 | 17 |\n| 5 | 6 |" } ] }, { "id": "11882", "image": "11882.png", "conversations": [ { "from": "human", "question": "In science class, Akira is measuring the temperature of different chemical mixtures. The temperatures of two mixtures are shown in the table. Which mixture's temperature is closest to zero?\n" }, { "from": "gpt", "solution": "A positive number means the temperature is above zero. A negative number means the temperature is below zero.\nTo find the temperature closest to zero, use absolute value. The absolute value of a temperature tells you how far it is from zero.\nBromine mixture: |-4| = 4\nAcetone mixture: |5| = 5\nThe temperature of the bromine mixture is closest to zero. It is only 4 degrees below zero.", "answer": "bromine mixture", "table": "| Mixture | Temperature (°C) |\n| --- | --- |\n| Bromine mixture | -4 |\n| Acetone mixture | 5 |" } ] }, { "id": "11895", "image": "11895.png", "conversations": [ { "from": "human", "question": "An archer recalled how many times he hit the bull's-eye in the past 5 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n4, 3, 8, 1, 3\n\nFirst, arrange the numbers from least to greatest:\n\n1, 3, 3, 4, 8\n\nNow find the number in the middle.\n\n1, 3, 3, 4, 8\n\nThe number in the middle is 3.\n\nThe median is 3.", "answer": "3", "table": "**Bull's-eyes**\n\n| Day | Number of bull's-eyes |\n| --- | --- |\n| Monday | 4 |\n| Tuesday | 3 |\n| Wednesday | 8 |\n| Thursday | 1 |\n| Friday | 3 |" } ] }, { "id": "11896", "image": "11896.png", "conversations": [ { "from": "human", "question": "Jane found out the sizes of all the clubs at her school. How many clubs have at least 20 members?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 2, 3, 4, and 5.\n\nYou counted 22 leaves, which are blue in the stem-and-leaf plot above. 22 clubs have at least 20 members.", "answer": "22", "table": "**Club sizes (number of members)**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 2, 4, 4, 6, 9 |\n| 3 | 0, 2, 6, 7, 7, 9 |\n| 4 | 0, 4, 5, 8, 8, 9 |\n| 5 | 2, 4, 5, 6, 6 |" } ] }, { "id": "11904", "image": "11904.png", "conversations": [ { "from": "human", "question": "Mr. Palmer, a track coach, recorded the sizes of all the nearby track teams. What is the size of the smallest team?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 5.\n\nNow find the lowest leaf in the first row. The lowest leaf is 2.\n\nThe size of the smallest team has a stem of 5 and a leaf of 2. Write the stem first, then the leaf: 52.\n\nThe size of the smallest team is 52 members.", "answer": "52", "table": "**Track team sizes (number of members)**\n\n| Stem | Leaf |\n| --- | --- |\n| 5 | 2, 2, 6 |\n| 6 | 6 |\n| 7 | |\n| 8 | 0, 1 |" } ] }, { "id": "11906", "image": "11906.png", "conversations": [ { "from": "human", "question": "A publisher invited authors to write stories for a special anthology. How many authors wrote at least 3 stories?\n" }, { "from": "gpt", "solution": "Find the rows for 3, 4, and 5 stories. Add the frequencies for these rows.\n\nAdd:\n\n2 + 11 + 18 = 31\n\n31 authors wrote at least 3 stories.", "answer": "31", "table": "**Writing stories**\n\n| Stories written | Frequency |\n| --- | --- |\n| 1 | 4 |\n| 2 | 15 |\n| 3 | 2 |\n| 4 | 11 |\n| 5 | 18 |" } ] }, { "id": "11914", "image": "11914.png", "conversations": [ { "from": "human", "question": "If Dirk buys 1 kilogram of bran muffin mix, how much will he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the bran muffin mix. Multiply the price per kilogram by the number of kilograms.\n\n$1.32 × 1 = $1.32\n\nHe will spend $1.32.", "answer": "1.32", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| cranberry muffin mix | $0.47/kg |\n| chocolate chip muffin mix | $0.76/kg |\n| bran muffin mix | $1.32/kg |\n| blueberry muffin mix | $1.34/kg |\n| apple muffin mix | $0.68/kg |\n| pumpkin muffin mix | $1.14/kg |" } ] }, { "id": "11918", "image": "11918.png", "conversations": [ { "from": "human", "question": "Belle spent a week at the beach and recorded the number of shells she found each day. According to the table, what was the rate of change between Friday and Saturday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{5 shells - 6 shells}{1 day}\n = \\frac{-1 shells}{1 day}\n = -1 shells per day\nThe rate of change between Friday and Saturday was - 1 shells per day.", "answer": "-1", "table": "**Shells Belle found**\n\n| Day | Number of shells |\n| --- | --- |\n| Tuesday | 6 |\n| Wednesday | 5 |\n| Thursday | 3 |\n| Friday | 6 |\n| Saturday | 5 |" } ] }, { "id": "11927", "image": "11927.png", "conversations": [ { "from": "human", "question": "An athlete counted how many autographs he signed each day. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n36, 30, 42, 42, 32, 29, 41\n\nFirst, count how many numbers are in the group.\n\nThere are 7 numbers.\n\nNow add all the numbers together:\n\n36 + 30 + 42 + 42 + 32 + 29 + 41 = 252\n\nNow divide the sum by the number of numbers:\n\n252 ÷ 7 = 36\n\nThe mean is 36.", "answer": "36", "table": "**Autographs signed**\n\n| Day | Number of autographs |\n| --- | --- |\n| Saturday | 36 |\n| Sunday | 30 |\n| Monday | 42 |\n| Tuesday | 42 |\n| Wednesday | 32 |\n| Thursday | 29 |\n| Friday | 41 |" } ] }, { "id": "11932", "image": "11932.png", "conversations": [ { "from": "human", "question": "A beauty salon in Riverside has four beauticians and keeps track of how often clients request each one specifically. What fraction of requests were for Alexandra? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many clients requested Alexandra.\n\n370\n\nFind how many requests were made in total.\n\n880 + 400 + 370 + 80 = 1,730\n\nDivide 370 by1,730.\n\n\\frac{370}{1,730}\n\nReduce the fraction.\n\n\\frac{370}{1,730} → \\frac{37}{173}\n\n\\frac{37}{173} of clients requested Alexandra.", "answer": "37/173", "table": "**Beautician requests**\n\n| Beautician | Requests |\n| --- | --- |\n| Alice | 880 |\n| Jeremiah | 400 |\n| Alexandra | 370 |\n| Stacy | 80 |" } ] }, { "id": "11933", "image": "11933.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Eli got on the bus at the grocery store at 10.45 A.M. What time will he get to the doctor's office?\n" }, { "from": "gpt", "solution": "Find 10:45 A. M. in the row for the grocery store. That column shows the schedule for the bus that Eli is on.\n\nLook down the column until you find the row for the doctor's office.\n\nEli will get to the doctor's office at 12:15 P. M.", "answer": "12:15 P.M.", "table": "**Bus schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 |\n| --- | --- | --- | --- |\n| the grocery store | 10:30 A.M. | 10:45 A.M. | 11:00 A.M. |\n| the movie theater | 11:00 A.M. | 11:15 A.M. | 11:30 A.M. |\n| the kickball field | 11:45 A.M. | 12:00 P.M. | 12:15 P.M. |\n| the doctor's office | 12:00 P.M. | 12:15 P.M. | 12:30 P.M. |\n| the playground | 1:00 P.M. | 1:15 P.M. | 1:30 P.M. |" } ] }, { "id": "11935", "image": "11935.png", "conversations": [ { "from": "human", "question": "Walter has $12,874.00. How much money will Walter have left if he buys a magazine ad and a radio ad?\n" }, { "from": "gpt", "solution": "Find the total cost of a magazine ad and a radio ad.\n\n$7,701.00 + $1,777.00 = $9,478.00\n\nNow subtract the total cost from the starting amount.\n\n$12,874.00 - $9,478.00 = $3,396.00\n\nWalter will have $3,396.00 left.", "answer": "3,396", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| magazine ad | $7,701.00 |\n| radio ad | $1,777.00 |\n| full-page newspaper ad | $2,032.00 |\n| online ad | $2,081.00 |\n| billboard ad | $7,512.00 |\n| TV ad | $8,163.00 |" } ] }, { "id": "11939", "image": "11939.png", "conversations": [ { "from": "human", "question": "While looking through an almanac at the library, Anna noticed some data showing the population density of various states. In 2000, how many more people per square mile lived in Nevada than in Wyoming?\n" }, { "from": "gpt", "solution": "Find the 2000 column. Find the numbers in this column for Nevada and Wyoming.\n\nNevada: 18\nWyoming: 5\n\nNow subtract:\n\n18 − 5 = 13\n\nIn 2000, 13 more people per square mile lived in Nevada than in Wyoming.", "answer": "13", "table": "**Population per square mile**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| State | 1990 | 2000 |\n| Wyoming | 4 | 5 |\n| Idaho | 12 | 15 |\n| Nevada | 10 | 18 |\n| Montana | 5 | 6 |" } ] }, { "id": "11946", "image": "11946.png", "conversations": [ { "from": "human", "question": "Terrence looked at his calendar to figure out how much time he spent babysitting each month. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n10, 2, 6, 4, 9, 6\n\nFirst, find the greatest number. The greatest number is 10.\n\nNext, find the least number. The least number is 2.\n\nSubtract the least number from the greatest number:\n\n10 − 2 = 8\n\nThe range is 8.", "answer": "8", "table": "**Hours of babysitting**\n\n| Month | Hours |\n| --- | --- |\n| August | 10 |\n| September | 2 |\n| October | 6 |\n| November | 4 |\n| December | 9 |\n| January | 6 |" } ] }, { "id": "11949", "image": "11949.png", "conversations": [ { "from": "human", "question": "Toby has $11,508. Does he have enough to buy a cello and an oboe?\n" }, { "from": "gpt", "solution": "Add the price of a cello and the price of an oboe:\n\n$7,325 + $3,712 = $11,037\n\n$11,037 is less than $11,508. Toby does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| cello | $7,325 |\n| guitar | $8,282 |\n| tuba | $4,901 |\n| piano | $1,660 |\n| oboe | $3,712 |" } ] }, { "id": "11952", "image": "11952.png", "conversations": [ { "from": "human", "question": "Brooke is looking at the price of new cell phones online. Her favorite company, OrangeTech, has a special this weekend. Brooke can add an upgrade to a phone for an additional cost, or she can buy a used phone to get a discount. The change in price for each option is shown in the table. Which option results in a greater change in price?\n" }, { "from": "gpt", "solution": "To find the option that results in a greater change in price, use absolute value. Absolute value tells you how much the price changes.\nAdd an upgrade: |$60| = $60\nBuy a used phone: |-$75| = $75\nBuying a used phone results in a greater change in price. It reduces the price by $75.", "answer": "buying a used phone", "table": "| Option | Change in phone price |\n| --- | --- |\n| Add an upgrade | $60 |\n| Buy a used phone | -$75 |" } ] }, { "id": "11958", "image": "11958.png", "conversations": [ { "from": "human", "question": "Helen has $1.54. Does she have enough to buy a silver glitter pen and a rubber stamp?\n" }, { "from": "gpt", "solution": "Add the price of a silver glitter pen and the price of a rubber stamp:\n\n$0.93 + $0.58 = $1.51\n\n$1.51 is less than $1.54. Helen does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| silver glitter pen | $0.93 |\n| box of colored pencils | $0.98 |\n| rubber stamp | $0.58 |\n| ink pad | $0.81 |" } ] }, { "id": "11960", "image": "11960.png", "conversations": [ { "from": "human", "question": "The county released data about how many schools there are in each town. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n8, 8, 5, 5, 1, 1, 1\n\nFirst, arrange the numbers from least to greatest:\n\n1, 1, 1, 5, 5, 8, 8\n\nNow count how many times each number appears.\n\n1 appears 3 times.\n5 appears 2 times.\n8 appears 2 times.\n\nThe number that appears most often is 1.\n\nThe mode is 1.", "answer": "1", "table": "**Schools in each town**\n\n| Town | Number of schools |\n| --- | --- |\n| Springfield | 8 |\n| Ashland | 8 |\n| Watertown | 5 |\n| Richmond | 5 |\n| Marion | 1 |\n| Chesterton | 1 |\n| Greenwood | 1 |" } ] }, { "id": "11966", "image": "11966.png", "conversations": [ { "from": "human", "question": "How much money does Polly need to buy a piece of elegant stationery and a piece of polka-dotted paper?\n" }, { "from": "gpt", "solution": "Add the price of a piece of elegant stationery and the price of a piece of polka-dotted paper:\n\n$0.10 + $0.10 = $0.20\n\nPolly needs $0.20.", "answer": "0.20", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| piece of pink paper | $0.55 |\n| sheet of green paper | $0.43 |\n| piece of floral stationery | $0.42 |\n| piece of polka-dotted paper | $0.10 |\n| sheet of shiny silver paper | $0.78 |\n| piece of elegant stationery | $0.10 |" } ] }, { "id": "11974", "image": "11974.png", "conversations": [ { "from": "human", "question": "Ms. Terry reported her students' scores on the most recent quiz. What is the highest score?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 8.\n\nNow find the highest leaf in the last row. The highest leaf is 6.\n\nThe highest score has a stem of 8 and a leaf of 6. Write the stem first, then the leaf: 86.\n\nThe highest score is 86 points.", "answer": "86", "table": "**Quiz scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 5 | 1, 2, 2, 3 |\n| 6 | 2, 3, 5, 9 |\n| 7 | 4, 7 |\n| 8 | 3, 3, 4, 5, 5, 6 |" } ] }, { "id": "11980", "image": "11980.png", "conversations": [ { "from": "human", "question": "Scarlett went to the store. She bought 1/2 of a pound of romaine lettuce. How much did she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the romaine lettuce. Multiply the price per pound by the number of pounds.\n$2 × \\frac{1}{2} = $2 × 0.5 = $1\nShe spent $1.", "answer": "1", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| Swiss chard | $3/lb |\n| summer crisp lettuce | $4/lb |\n| romaine lettuce | $2/lb |\n| butterhead lettuce | $2/lb |" } ] }, { "id": "11988", "image": "11988.png", "conversations": [ { "from": "human", "question": "A food magazine published a listing of local restaurant ratings. What is the highest rating?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 5.\n\nNow find the highest leaf in the last row. The highest leaf is 0.\n\nThe highest rating has a stem of 5 and a leaf of 0. Write the stem first, then the leaf: 50.\n\nThe highest rating is 50 points.", "answer": "50", "table": "**Restaurant ratings**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 6, 6 |\n| 2 | 3 |\n| 3 | 4, 6 |\n| 4 | |\n| 5 | 0 |" } ] }, { "id": "11995", "image": "11995.png", "conversations": [ { "from": "human", "question": "Some teachers compared how many years they have been teaching. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n10, 8, 10, 9, 10, 3, 6\n\nFirst, count how many numbers are in the group.\n\nThere are 7 numbers.\n\nNow add all the numbers together:\n\n10 + 8 + 10 + 9 + 10 + 3 + 6 = 56\n\nNow divide the sum by the number of numbers:\n\n56 ÷ 7 = 8\n\nThe mean is 8.", "answer": "8", "table": "**Years of teaching**\n\n| Teacher | Number of years |\n| --- | --- |\n| Mr. Perez | 10 |\n| Ms. Yamamoto | 8 |\n| Mr. Boone | 10 |\n| Mrs. Ramirez | 9 |\n| Miss Torres | 10 |\n| Mr. Park | 3 |\n| Miss Lim | 6 |" } ] }, { "id": "11996", "image": "11996.png", "conversations": [ { "from": "human", "question": "The principal of Clarksville Elementary School released statistics about how many boys and girls were in each fourth grade class at her school. Whose class has the most students?\n" }, { "from": "gpt", "solution": "Add the numbers in each row.\n\nMiss Kim: 12 + 8 = 20\nMiss Fisher: 11 + 13 = 24\nMs. Weston: 10 + 16 = 26\nMiss Smith: 5 + 13 = 18\n\nThe greatest sum is 26, which is the total for the Ms. Weston row. The most students are in Ms. Weston's class.", "answer": "Ms. Weston", "table": "**Fourth grade classes**\n\n| Teacher | Boys | Girls |\n| --- | --- | --- |\n| Miss Kim | 12 | 8 |\n| Miss Fisher | 11 | 13 |\n| Ms. Weston | 10 | 16 |\n| Miss Smith | 5 | 13 |" } ] }, { "id": "11998", "image": "11998.png", "conversations": [ { "from": "human", "question": "A high school basketball coach counted the number of points her team scored each game. How many games had fewer than 61 points?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 3, 4, and 5.\n\nIn the row with stem 6, count all the leaves less than 1.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plots above. 2 games had fewer than 61 points.", "answer": "2", "table": "**Points per game**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 2 |\n| 4 | |\n| 5 | |\n| 6 | 0, 1, 3 |\n| 7 | 5 |\n| 8 | 9 |" } ] }, { "id": "12000", "image": "12000.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Reagan is at the post office. If she wants to arrive at the library at 11.00 A.M., what time should she get on the bus?\n" }, { "from": "gpt", "solution": "Look at the row for the library. Find the bus that arrives at the library at 11:00 A. M.\n\nLook up the column until you find the row for the post office.\n\nReagan should get on the bus at 10:30 A. M.", "answer": "10:30 A.M.", "table": "**Bus schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 | Column 5 |\n| --- | --- | --- | --- | --- |\n| the post office | 9:00 A.M. | 10:15 A.M. | 10:30 A.M. | 10:45 A.M. |\n| the library | 9:30 A.M. | 10:45 A.M. | 11:00 A.M. | 11:15 A.M. |\n| the mall | 10:30 A.M. | 11:45 A.M. | 12:00 P.M. | 12:15 P.M. |\n| the movie theater | 10:45 A.M. | 12:00 P.M. | 12:15 P.M. | 12:30 P.M. |\n| the zoo | 11:00 A.M. | 12:15 P.M. | 12:30 P.M. | 12:45 P.M. |\n| the kickball field | 11:45 A.M. | 1:00 P.M. | 1:15 P.M. | 1:30 P.M. |\n| the doctor's office | 12:30 P.M. | 1:45 P.M. | 2:00 P.M. | 2:15 P.M. |\n| the grocery store | 1:15 P.M. | 2:30 P.M. | 2:45 P.M. | 3:00 P.M. |" } ] }, { "id": "12003", "image": "12003.png", "conversations": [ { "from": "human", "question": "Each bin has 2 red blocks. How many red blocks are in 3 bins?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 6 red blocks in 3 bins.", "answer": "6", "table": "| Number of bins | Number of red blocks |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | ? |" } ] }, { "id": "12005", "image": "12005.png", "conversations": [ { "from": "human", "question": "How much money does Grace need to buy a lime, an orange, and an apple?\n" }, { "from": "gpt", "solution": "Find the total cost of a lime, an orange, and an apple.\n\n$0.22 + $0.97 + $0.83 = $2.02\n\nGrace needs $2.02.", "answer": "2.02", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| banana | $0.50 |\n| pear | $0.39 |\n| apple | $0.83 |\n| lime | $0.22 |\n| onion | $0.25 |\n| orange | $0.97 |" } ] }, { "id": "12012", "image": "12012.png", "conversations": [ { "from": "human", "question": "The teachers at a middle school counted how many computers they had in their classrooms. Which teacher has the fewest computers?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 10.\n\nNow find the corresponding teacher. Miss Murphy corresponds to 10.", "answer": "Miss Murphy", "table": "**Computers in classrooms**\n\n| Teacher | Number of computers |\n| --- | --- |\n| Mr. Morales | 12 |\n| Miss Murphy | 10 |\n| Mrs. Tan | 14 |\n| Mr. Watson | 19 |" } ] }, { "id": "12013", "image": "12013.png", "conversations": [ { "from": "human", "question": "In hopes of raising more funds for arts education, some parents in the Clarksville School District publicized the current per-student arts education budget. According to the table, what was the rate of change between 2008 and 2009?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{$28 - $23}{2009 - 2008}\n = \\frac{$28 - $23}{1 year}\n = \\frac{$5}{1 year}\n = $5 per year\nThe rate of change between 2008 and 2009 was $5 per year.", "answer": "5", "table": "**Clarksville arts education budget**\n\n| Year | Per-student budget |\n| --- | --- |\n| 2006 | $21 |\n| 2007 | $29 |\n| 2008 | $23 |\n| 2009 | $28 |\n| 2010 | $23 |" } ] }, { "id": "12020", "image": "12020.png", "conversations": [ { "from": "human", "question": "The parks department compared how many basketball hoops there are at each park. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 10, 5, 9, 10\n\nFirst, arrange the numbers from least to greatest:\n\n5, 7, 9, 10, 10\n\nNow find the number in the middle.\n\n5, 7, 9, 10, 10\n\nThe number in the middle is 9.\n\nThe median is 9.", "answer": "9", "table": "**Basketball hoops**\n\n| Park | Number of basketball hoops |\n| --- | --- |\n| Pinehurst Park | 7 |\n| Kelly Park | 10 |\n| Heron Park | 5 |\n| Mooreland Park | 9 |\n| Linden Park | 10 |" } ] }, { "id": "12024", "image": "12024.png", "conversations": [ { "from": "human", "question": "How much money does Ed need to buy a piece of rose quartz and a pumice stone?\n" }, { "from": "gpt", "solution": "Add the price of a piece of rose quartz and the price of a pumice stone:\n\n$0.05 + $0.07 = $0.12\n\nEd needs $0.12.", "answer": "0.12", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| piece of red sandstone | $0.04 |\n| pumice stone | $0.07 |\n| piece of rose quartz | $0.05 |\n| piece of black mica | $0.03 |\n| piece of black obsidian | $0.02 |\n| yellow tiger's eye | $0.06 |" } ] }, { "id": "12025", "image": "12025.png", "conversations": [ { "from": "human", "question": "Mrs. Hardin hosts an annual art contest for kids, and she keeps a record of the number of entries each year. According to the table, what was the rate of change between 2011 and 2012?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{46 entries - 34 entries}{2012 - 2011}\n = \\frac{46 entries - 34 entries}{1 year}\n = \\frac{12 entries}{1 year}\n = 12 entries per year\nThe rate of change between 2011 and 2012 was 12 entries per year.", "answer": "12", "table": "**Art contest entries**\n\n| Year | Number of entries |\n| --- | --- |\n| 2010 | 34 |\n| 2011 | 34 |\n| 2012 | 46 |\n| 2013 | 38 |\n| 2014 | 36 |" } ] }, { "id": "12027", "image": "12027.png", "conversations": [ { "from": "human", "question": "Each necklace has 10 blue beads. How many blue beads are on 4 necklaces?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 40 blue beads on 4 necklaces.", "answer": "40", "table": "| Number of necklaces | Number of blue beads |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | ? |" } ] }, { "id": "12031", "image": "12031.png", "conversations": [ { "from": "human", "question": "Dr. Lowery, a zoo director, researched ticket prices at other zoos around the country. Which charges more for an adult ticket, the Oakland Zoo or the Brookfield Zoo?\n" }, { "from": "gpt", "solution": "Find the Adult column. Compare the numbers in this column for Oakland and Brookfield.\n\n$12.00 is more than $10.00. The Brookfield Zoo charges more for an adult.", "answer": "Brookfield", "table": "**Zoo ticket prices**\n\n| Zoo | Adult | Child |\n| --- | --- | --- |\n| Brookfield | $12 | $8 |\n| San Francisco | $15 | $9 |\n| Oakland | $10 | $7 |" } ] }, { "id": "12047", "image": "12047.png", "conversations": [ { "from": "human", "question": "Some friends discussed the sizes of their coin collections. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n8, 8, 10, 9, 9, 9\n\nFirst, arrange the numbers from least to greatest:\n\n8, 8, 9, 9, 9, 10\n\nNow count how many times each number appears.\n\n8 appears 2 times.\n9 appears 3 times.\n10 appears 1 time.\n\nThe number that appears most often is 9.\n\nThe mode is 9.", "answer": "9", "table": "**Coin collections**\n\n| Name | Number of coins |\n| --- | --- |\n| Raymond | 8 |\n| Bryan | 8 |\n| Austin | 10 |\n| Meg | 9 |\n| Zoe | 9 |\n| Sean | 9 |" } ] }, { "id": "12049", "image": "12049.png", "conversations": [ { "from": "human", "question": "The parks department compared how many soccer fields there are at each park. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n4, 7, 10, 7, 7, 4, 9, 10\n\nFirst, arrange the numbers from least to greatest:\n\n4, 4, 7, 7, 7, 9, 10, 10\n\nNow count how many times each number appears.\n\n4 appears 2 times.\n7 appears 3 times.\n9 appears 1 time.\n10 appears 2 times.\n\nThe number that appears most often is 7.\n\nThe mode is 7.", "answer": "7", "table": "**Soccer fields**\n\n| Park | Number of soccer fields |\n| --- | --- |\n| Windy Hill Park | 4 |\n| Canyon Park | 7 |\n| Lighthouse Park | 10 |\n| Juniper Park | 7 |\n| Middle Park | 7 |\n| Madison Park | 4 |\n| Moon Park | 9 |\n| Crane Park | 10 |" } ] }, { "id": "12050", "image": "12050.png", "conversations": [ { "from": "human", "question": "The teachers at a middle school counted how many computers they had in their classrooms. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 7, 6, 8, 2, 6, 2, 7\n\nFirst, arrange the numbers from least to greatest:\n\n2, 2, 6, 6, 6, 7, 7, 8\n\nNow count how many times each number appears.\n\n2 appears 2 times.\n6 appears 3 times.\n7 appears 2 times.\n8 appears 1 time.\n\nThe number that appears most often is 6.\n\nThe mode is 6.", "answer": "6", "table": "**Computers in classrooms**\n\n| Teacher | Number of computers |\n| --- | --- |\n| Mr. Schmidt | 6 |\n| Mr. Morales | 7 |\n| Mrs. Jansen | 6 |\n| Ms. Cohen | 8 |\n| Miss Murphy | 2 |\n| Mr. Lim | 6 |\n| Mrs. Rossi | 2 |\n| Mrs. Tan | 7 |" } ] }, { "id": "12051", "image": "12051.png", "conversations": [ { "from": "human", "question": "A cable company analyst paid attention to how many new customers it had each day. On which day did the cable company have the fewest new customers?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 114.\n\nNow find the corresponding day. Thursday corresponds to 114.", "answer": "Thursday", "table": "**New cable customers**\n\n| Day | Number of new customers |\n| --- | --- |\n| Wednesday | 131 |\n| Thursday | 114 |\n| Friday | 141 |\n| Saturday | 134 |" } ] }, { "id": "12063", "image": "12063.png", "conversations": [ { "from": "human", "question": "A museum curator counted the number of paintings in each exhibit at the art museum. What is the smallest number of paintings?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 3.\n\nNow find the lowest leaf in the first row. The lowest leaf is 4.\n\nThe smallest number of paintings has a stem of 3 and a leaf of 4. Write the stem first, then the leaf: 34.\n\nThe smallest number of paintings is 34 paintings.", "answer": "34", "table": "**Paintings per exhibit**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 4, 9 |\n| 4 | 6, 6, 6, 7, 7, 9 |\n| 5 | 2, 5 |\n| 6 | 0, 4, 6, 7 |\n| 7 | 8 |\n| 8 | 1, 4, 9 |\n| 9 | 0 |" } ] }, { "id": "12071", "image": "12071.png", "conversations": [ { "from": "human", "question": "An Italian restaurant monitored the number of times its regular customers ate pizza last month. How many customers ate pizza fewer than 3 times?\n" }, { "from": "gpt", "solution": "Find the rows for 0, 1, and 2 times. Add the frequencies for these rows.\n\nAdd:\n\n2 + 5 + 8 = 15\n\n15 customers ate pizza fewer than 3 times.", "answer": "15", "table": "**Eating pizza last month**\n\n| Times eaten | Frequency |\n| --- | --- |\n| 0 | 2 |\n| 1 | 5 |\n| 2 | 8 |\n| 3 | 15 |\n| 4 | 17 |" } ] }, { "id": "12074", "image": "12074.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{12 - 14}{16 - 15}\n = \\frac{-2}{1}\n = -2\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{10 - 14}{17 - 15}\n = \\frac{-4}{2}\n = -2\nThe two rates of change are the same.\n2.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 15 | 14 |\n| 16 | 12 |\n| 17 | 10 |" } ] }, { "id": "12077", "image": "12077.png", "conversations": [ { "from": "human", "question": "Debbie kept track of the number of games her soccer team won each year. According to the table, what was the rate of change between 2018 and 2019?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{30 games - 2 games}{2019 - 2018}\n = \\frac{30 games - 2 games}{1 year}\n = \\frac{28 games}{1 year}\n = 28 games per year\nThe rate of change between 2018 and 2019 was 28 games per year.", "answer": "28", "table": "**Games won by Debbie's soccer team**\n\n| Year | Games won |\n| --- | --- |\n| 2016 | 15 |\n| 2017 | 29 |\n| 2018 | 2 |\n| 2019 | 30 |\n| 2020 | 4 |" } ] }, { "id": "12078", "image": "12078.png", "conversations": [ { "from": "human", "question": "The members of the local garden club tallied the number of plants in each person's garden. How many gardens have at least 43 plants but fewer than 74 plants?\n" }, { "from": "gpt", "solution": "Find the row with stem 4. Count all the leaves greater than or equal to 3.\n\nCount all the leaves in the rows with stems 5 and 6.\n\nIn the row with stem 7, count all the leaves less than 4.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plots above. 2 gardens have at least 43 plants but fewer than 74 plants.", "answer": "2", "table": "**Plants per garden**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 6, 8 |\n| 4 | 1, 2, 5 |\n| 5 | |\n| 6 | |\n| 7 | 3, 5, 9 |" } ] }, { "id": "12086", "image": "12086.png", "conversations": [ { "from": "human", "question": "How much money does Kenji need to buy a bag of peanuts and a brownie?\n" }, { "from": "gpt", "solution": "Add the price of a bag of peanuts and the price of a brownie:\n\n$1.09 + $1.16 = $2.25\n\nKenji needs $2.25.", "answer": "2.25", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| bowl of clam chowder | $2.45 |\n| ice cream cone | $1.22 |\n| bagel | $1.22 |\n| brownie | $1.16 |\n| bag of peanuts | $1.09 |\n| spinach salad | $6.50 |" } ] }, { "id": "12090", "image": "12090.png", "conversations": [ { "from": "human", "question": "Look at this table. Is this relation a function?\n" }, { "from": "gpt", "solution": "Look at the x-values in the table.\n\nEach of the x-values is paired with only one y-value, so the relation is a function.", "answer": "yes", "table": "| x | y |\n| --- | --- |\n| 11 | 6 |\n| 5 | 13 |\n| 20 | 15 |" } ] }, { "id": "12092", "image": "12092.png", "conversations": [ { "from": "human", "question": "A baseball player paid attention to how many baseballs he hit in practice each day. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n2, 4, 5, 2, 6\n\nFirst, arrange the numbers from least to greatest:\n\n2, 2, 4, 5, 6\n\nNow find the number in the middle.\n\n2, 2, 4, 5, 6\n\nThe number in the middle is 4.\n\nThe median is 4.", "answer": "4", "table": "**Baseballs hit**\n\n| Day | Number of baseballs |\n| --- | --- |\n| Thursday | 2 |\n| Friday | 4 |\n| Saturday | 5 |\n| Sunday | 2 |\n| Monday | 6 |" } ] }, { "id": "12099", "image": "12099.png", "conversations": [ { "from": "human", "question": "Ruth has $1.65. Does she have enough to buy a bottle of glue and a pencil sharpener?\n" }, { "from": "gpt", "solution": "Add the price of a bottle of glue and the price of a pencil sharpener:\n\n$0.98 + $0.66 = $1.64\n\n$1.64 is less than $1.65. Ruth does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| notebook | $0.98 |\n| ink pad | $0.80 |\n| bottle of glue | $0.98 |\n| pencil sharpener | $0.66 |\n| rubber stamp | $0.81 |\n| box of paper clips | $0.90 |" } ] }, { "id": "12101", "image": "12101.png", "conversations": [ { "from": "human", "question": "An architect recorded the number of different types of buildings and the materials from which they were made. How many stone buildings are there?\n" }, { "from": "gpt", "solution": "Find the row for stone. Add the numbers in the Stone row.\n\nAdd:\n\n2 + 18 = 20\n\nThere are 20 stone buildings.", "answer": "20", "table": "**Buildings**\n\n| Material | Banks | Restaurants |\n| --- | --- | --- |\n| Stone | 2 | 18 |\n| Brick | 17 | 18 |\n| Concrete | 13 | 6 |" } ] }, { "id": "12112", "image": "12112.png", "conversations": [ { "from": "human", "question": "In hopes of raising more funds for arts education, some parents in the Lowell School District publicized the current per-student arts education budget. According to the table, what was the rate of change between 2008 and 2009?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{$39 - $30}{2009 - 2008}\n = \\frac{$39 - $30}{1 year}\n = \\frac{$9}{1 year}\n = $9 per year\nThe rate of change between 2008 and 2009 was $9 per year.", "answer": "9", "table": "**Lowell arts education budget**\n\n| Year | Per-student budget |\n| --- | --- |\n| 2006 | $32 |\n| 2007 | $32 |\n| 2008 | $30 |\n| 2009 | $39 |\n| 2010 | $39 |" } ] }, { "id": "12117", "image": "12117.png", "conversations": [ { "from": "human", "question": "Erik kept track of how many boxes of cookies he sold over the past 5 days. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n5, 5, 10, 0, 0\n\nFirst, count how many numbers are in the group.\n\nThere are 5 numbers.\n\nNow add all the numbers together:\n\n5 + 5 + 10 + 0 + 0 = 20\n\nNow divide the sum by the number of numbers:\n\n20 ÷ 5 = 4\n\nThe mean is 4.", "answer": "4", "table": "**Boxes of cookies sold**\n\n| Day | Number of boxes |\n| --- | --- |\n| Saturday | 5 |\n| Sunday | 5 |\n| Monday | 10 |\n| Tuesday | 0 |\n| Wednesday | 0 |" } ] }, { "id": "12119", "image": "12119.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{10 - 1}{2 - 1}\n = \\frac{9}{1}\n = 9\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{20 - 10}{3 - 2}\n = \\frac{10}{1}\n = 10\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 1 | 1 |\n| 2 | 10 |\n| 3 | 20 |" } ] }, { "id": "12125", "image": "12125.png", "conversations": [ { "from": "human", "question": "If Henry buys 4/5 of a kilogram of paper beads, how much will he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the paper beads. Multiply the price per kilogram by the number of kilograms.\n$2 × \\frac{4}{5} = $2 × 0.8 = $1.60\nHe will spend $1.60.", "answer": "1.60", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| paper beads | $2/kg |\n| plastic beads | $3/kg |\n| ceramic beads | $2/kg |\n| metal beads | $2/kg |" } ] }, { "id": "12131", "image": "12131.png", "conversations": [ { "from": "human", "question": "What is the total cost for 3 pounds of bleached white flour and 2 pounds of peanut flour?\n" }, { "from": "gpt", "solution": "Find the cost of the bleached white flour. Multiply:\n\n$6 × 3 = $18\n\nFind the cost of the peanut flour. Multiply:\n\n$2 × 2 = $4\n\nNow find the total cost by adding:\n\n$18 + $4 = $22\n\nThe total cost is $22.", "answer": "22", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| peanut flour | $2 per pound |\n| soy flour | $2 per pound |\n| bleached white flour | $6 per pound |\n| hemp flour | $5 per pound |\n| unbleached white flour | $2 per pound |" } ] }, { "id": "12135", "image": "12135.png", "conversations": [ { "from": "human", "question": "A teacher randomly drew names from a hat to assign her students to field day committees. Are there fewer girls on the decorations committee or the schedule committee?\n" }, { "from": "gpt", "solution": "Find the Girls column. Compare the numbers in this column for decorations and schedule.\n\n3 is less than 12. Fewer girls are on the decorations committee.", "answer": "decorations", "table": "**Field day committees**\n\n| Committee | Girls | Boys |\n| --- | --- | --- |\n| Food | 6 | 12 |\n| Decorations | 3 | 14 |\n| Schedule | 12 | 6 |" } ] }, { "id": "12137", "image": "12137.png", "conversations": [ { "from": "human", "question": "A dog show enthusiast recorded the weight of the winning dog at recent dog shows. According to the table, what was the rate of change between 2011 and 2012?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{30 kilograms - 32 kilograms}{2012 - 2011}\n = \\frac{30 kilograms - 32 kilograms}{1 year}\n = \\frac{-2 kilograms}{1 year}\n = -2 kilograms per year\nThe rate of change between 2011 and 2012 was - 2 kilograms per year.", "answer": "-2", "table": "**Weight of winning dog at a dog show**\n\n| Year | Weight (kg) |\n| --- | --- |\n| 2009 | 25 |\n| 2010 | 24 |\n| 2011 | 32 |\n| 2012 | 30 |\n| 2013 | 38 |" } ] }, { "id": "12141", "image": "12141.png", "conversations": [ { "from": "human", "question": "If Santiago buys 2.1 kilograms of size 5 screws, how much will he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the size 5 screws. Multiply the price per kilogram by the number of kilograms.\n$3 × 2.1 = $6.30\nHe will spend $6.30.", "answer": "6.30", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| size 6 screws | $4 per kg |\n| size 3 screws | $3 per kg |\n| size 4 screws | $4 per kg |\n| size 5 screws | $3 per kg |\n| size 2 screws | $4 per kg |" } ] }, { "id": "12146", "image": "12146.png", "conversations": [ { "from": "human", "question": "Percy's class recorded how many cans of food each student collected for their canned food drive. How many more cans of food did Percy collect than Carlos?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nPercy: 817\nCarlos: 442\n\nNow subtract: 817 - 442 = 375.\n\nPercy collected 375 more cans.", "answer": "375", "table": "**Cans of food collected**\n\n| Name | Number of cans of food |\n| --- | --- |\n| Carlos | 442 |\n| Travis | 171 |\n| Percy | 817 |" } ] }, { "id": "12161", "image": "12161.png", "conversations": [ { "from": "human", "question": "How much money does Gina need to buy 2 red sweaters?\n" }, { "from": "gpt", "solution": "Find the total cost of 2 red sweaters by multiplying 2 times the price of a red sweater.\n\n$5.01 × 2 = $10.02\n\nGina needs $10.02.", "answer": "10.02", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| purple T-shirt | $6.92 |\n| blue tank top | $7.26 |\n| gray sweatshirt | $7.39 |\n| pair of boots | $9.11 |\n| denim skirt | $9.03 |\n| red sweater | $5.01 |" } ] }, { "id": "12169", "image": "12169.png", "conversations": [ { "from": "human", "question": "A cable company analyst paid attention to how many new customers it had each day. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n10, 2, 20, 5, 8\n\nFirst, find the greatest number. The greatest number is 20.\n\nNext, find the least number. The least number is 2.\n\nSubtract the least number from the greatest number:\n\n20 − 2 = 18\n\nThe range is 18.", "answer": "18", "table": "**New cable customers**\n\n| Day | Number of new customers |\n| --- | --- |\n| Thursday | 10 |\n| Friday | 2 |\n| Saturday | 20 |\n| Sunday | 5 |\n| Monday | 8 |" } ] }, { "id": "12171", "image": "12171.png", "conversations": [ { "from": "human", "question": "The parks department compared how many soccer fields there are at each park. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 5, 4, 9, 2, 5, 2, 3\n\nFirst, find the greatest number. The greatest number is 9.\n\nNext, find the least number. The least number is 2.\n\nSubtract the least number from the greatest number:\n\n9 − 2 = 7\n\nThe range is 7.", "answer": "7", "table": "**Soccer fields**\n\n| Park | Number of soccer fields |\n| --- | --- |\n| Elmhurst Park | 9 |\n| Moon Park | 5 |\n| Lighthouse Park | 4 |\n| Madison Park | 9 |\n| Windy Hill Park | 2 |\n| Juniper Park | 5 |\n| Crane Park | 2 |\n| Middle Park | 3 |" } ] }, { "id": "12177", "image": "12177.png", "conversations": [ { "from": "human", "question": "Ryan has $18.55. How much money will Ryan have left if he buys a large plate and a cookbook?\n" }, { "from": "gpt", "solution": "Find the total cost of a large plate and a cookbook.\n\n$5.03 + $5.04 = $10.07\n\nNow subtract the total cost from the starting amount.\n\n$18.55 - $10.07 = $8.48\n\nRyan will have $8.48 left.", "answer": "8.48", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| glass measuring cup | $5.84 |\n| ice cream scoop | $7.53 |\n| large plate | $5.03 |\n| plastic cup | $1.23 |\n| cookbook | $5.04 |\n| mixing bowl | $9.80 |" } ] }, { "id": "12178", "image": "12178.png", "conversations": [ { "from": "human", "question": "Look at Tom's pay stub. Tom lives in a state without state income tax. How much payroll tax did Tom pay in total?\n" }, { "from": "gpt", "solution": "To find the total payroll tax, add the federal income tax and the other taxes.\nThe federal income tax is $123.70. The other taxes are $84.00. Add.\n$123.70 + $84.00 = $207.70\nTom paid a total of $207.70 in payroll tax.", "answer": "207.70", "table": "| Employee | Pay period | |\n| --- | --- | --- |\n| Tom Warren | July 1-15 | |\n| Total earnings | | $1,098.00 |\n| Federal income tax | $123.70 | |\n| Other taxes | $84.00 | |\n| Total taxes | | ? |\n| Pay after taxes | | ? |" } ] }, { "id": "12181", "image": "12181.png", "conversations": [ { "from": "human", "question": "If Clayton buys 2 pounds of green olives, how much will he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the green olives. Multiply the price per pound by the number of pounds.\n\n$6.52 × 2 = $13.04\n\nHe will spend $13.04.", "answer": "13.04", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| Kalamata olives | $5.11/pound |\n| pimento olives | $4.29/pound |\n| Greek olives | $5.37/pound |\n| green olives | $6.52/pound |\n| Spanish olives | $4.20/pound |" } ] }, { "id": "12194", "image": "12194.png", "conversations": [ { "from": "human", "question": "A farmer recalled how many watermelons were harvested in the past 4 days. On which day were the most watermelons harvested?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 19.\n\nNow find the corresponding day. Sunday corresponds to 19.", "answer": "Sunday", "table": "**Watermelons harvested**\n\n| Day | Number of watermelons |\n| --- | --- |\n| Sunday | 19 |\n| Monday | 15 |\n| Tuesday | 16 |\n| Wednesday | 14 |" } ] }, { "id": "12197", "image": "12197.png", "conversations": [ { "from": "human", "question": "Mr. Carey recorded the scores of his students on the most recent math quiz. How many students scored less than 8?\n" }, { "from": "gpt", "solution": "Find the rows for 5, 6, and 7. Add the frequencies for these rows.\n\nAdd:\n\n1 + 14 + 18 = 33\n\n33 students scored less than 8.", "answer": "33", "table": "**Scores on the math quiz**\n\n| Score | Frequency |\n| --- | --- |\n| 5 | 1 |\n| 6 | 14 |\n| 7 | 18 |\n| 8 | 12 |\n| 9 | 20 |\n| 10 | 11 |" } ] }, { "id": "12200", "image": "12200.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{14 - 18}{11 - 10}\n = \\frac{-4}{1}\n = -4\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{10 - 14}{12 - 11}\n = \\frac{-4}{1}\n = -4\nThe two rates of change are the same.\n4.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 10 | 18 |\n| 11 | 14 |\n| 12 | 10 |" } ] }, { "id": "12204", "image": "12204.png", "conversations": [ { "from": "human", "question": "A researcher recorded the number of cows on each farm in the county. What is the smallest number of cows?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 1.\n\nNow find the lowest leaf in the first row. The lowest leaf is 6.\n\nThe smallest number of cows has a stem of 1 and a leaf of 6. Write the stem first, then the leaf: 16.\n\nThe smallest number of cows is 16 cows.", "answer": "16", "table": "**Cows per farm**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 6, 6 |\n| 2 | 2, 4, 5, 7 |\n| 3 | 3, 4, 6, 9 |\n| 4 | 0, 5, 7, 8 |\n| 5 | 2 |\n| 6 | 5, 8 |\n| 7 | 4, 6, 9 |\n| 8 | 4, 5, 8 |\n| 9 | 0, 0 |" } ] }, { "id": "12206", "image": "12206.png", "conversations": [ { "from": "human", "question": "Quinn counted the number of pairs of shoes for sale at each of the shoe stores in the mall. What is the largest number of pairs of shoes?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 9.\n\nNow find the highest leaf in the last row. The highest leaf is 0.\n\nThe largest number of pairs of shoes has a stem of 9 and a leaf of 0. Write the stem first, then the leaf: 90.\n\nThe largest number of pairs of shoes is 90 pairs of shoes.", "answer": "90", "table": "**Pairs of shoes per store**\n\n| Stem | Leaf |\n| --- | --- |\n| 5 | 3, 7 |\n| 6 | 3, 6, 7, 9, 9 |\n| 7 | 1, 2, 3 |\n| 8 | 4 |\n| 9 | 0 |" } ] }, { "id": "12208", "image": "12208.png", "conversations": [ { "from": "human", "question": "Charlotte went to the store. She bought 2 kilograms of semisweet chocolate chips and 2 kilograms of butterscotch chips. How much did she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the semisweet chocolate chips. Multiply:\n\n$1.51 × 2 = $3.02\n\nFind the cost of the butterscotch chips. Multiply:\n\n$3.25 × 2 = $6.50\n\nNow find the total cost by adding:\n\n$3.02 + $6.50 = $9.52\n\nShe spent $9.52.", "answer": "9.52", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| dark chocolate chips | $3.34/kg |\n| semisweet chocolate chips | $1.51/kg |\n| peanut butter chips | $2.25/kg |\n| milk chocolate chips | $1.53/kg |\n| butterscotch chips | $3.25/kg |" } ] }, { "id": "12210", "image": "12210.png", "conversations": [ { "from": "human", "question": "How much money does Lara need to buy a red wagon and a model railroad set?\n" }, { "from": "gpt", "solution": "Add the price of a red wagon and the price of a model railroad set:\n\n$32 + $98 = $130\n\nLara needs $130.", "answer": "130", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| red wagon | $32 |\n| model airplane | $41 |\n| model railroad set | $98 |\n| trivia game | $34 |\n| remote control car | $27 |" } ] }, { "id": "12223", "image": "12223.png", "conversations": [ { "from": "human", "question": "Each locker has 10 pairs of shorts. How many pairs of shorts are in 6 lockers?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 60 pairs of shorts in 6 lockers.", "answer": "60", "table": "| Number of lockers | Number of pairs of shorts |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | 40 |\n| 5 | 50 |\n| 6 | ? |" } ] }, { "id": "12227", "image": "12227.png", "conversations": [ { "from": "human", "question": "Warren went to the store and bought 5 pounds of rectangular erasers and 5 pounds of heart erasers . How much did he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the rectangular erasers. Multiply:\n\n$5.75 × 5 = $28.75\n\nFind the cost of the heart erasers. Multiply:\n\n$4.92 × 5 = $24.60\n\nNow find the total cost by adding:\n\n$28.75 + $24.60 = $53.35\n\nHe spent $53.35.", "answer": "53.35", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| animal erasers | $5.48/pound |\n| flower erasers | $5.94/pound |\n| rectangular erasers | $5.75/pound |\n| heart erasers | $4.92/pound |\n| alphabet erasers | $4.08/pound |" } ] }, { "id": "12228", "image": "12228.png", "conversations": [ { "from": "human", "question": "The movie critic liked to count the number of actors in each movie she saw. What is the largest number of actors?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 6.\n\nNow find the highest leaf in the last row. The highest leaf is 9.\n\nThe largest number of actors has a stem of 6 and a leaf of 9. Write the stem first, then the leaf: 69.\n\nThe largest number of actors is 69 actors.", "answer": "69", "table": "**Actors per movie**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 6 |\n| 3 | 1 |\n| 4 | 1, 3 |\n| 5 | 5 |\n| 6 | 4, 7, 9 |" } ] }, { "id": "12235", "image": "12235.png", "conversations": [ { "from": "human", "question": "An ice cream shop kept track of how many ice cream cones it sold in the past 5 days. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n76, 76, 71, 71, 71\n\nFirst, arrange the numbers from least to greatest:\n\n71, 71, 71, 76, 76\n\nNow count how many times each number appears.\n\n71 appears 3 times.\n76 appears 2 times.\n\nThe number that appears most often is 71.\n\nThe mode is 71.", "answer": "71", "table": "**Ice cream cones sold**\n\n| Day | Number of ice cream cones |\n| --- | --- |\n| Sunday | 76 |\n| Monday | 76 |\n| Tuesday | 71 |\n| Wednesday | 71 |\n| Thursday | 71 |" } ] }, { "id": "12243", "image": "12243.png", "conversations": [ { "from": "human", "question": "Shannon kept track of the number of characters in each book she read. How many books had exactly 49 characters?\n" }, { "from": "gpt", "solution": "For the number 49, the stem is 4, and the leaf is 9. Find the row where the stem is 4. In that row, count all the leaves equal to 9.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 books had exactly 49 characters.", "answer": "4", "table": "**Characters per book**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 6 |\n| 2 | 0, 2, 4, 7, 9 |\n| 3 | 5, 6 |\n| 4 | 9, 9, 9, 9 |\n| 5 | 2, 2 |" } ] }, { "id": "12244", "image": "12244.png", "conversations": [ { "from": "human", "question": "A grocery store tracked how many bananas it sold each day. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n95, 90, 85, 93, 92\n\nFirst, count how many numbers are in the group.\n\nThere are 5 numbers.\n\nNow add all the numbers together:\n\n95 + 90 + 85 + 93 + 92 = 455\n\nNow divide the sum by the number of numbers:\n\n455 ÷ 5 = 91\n\nThe mean is 91.", "answer": "91", "table": "**Bananas sold**\n\n| Day | Number of bananas |\n| --- | --- |\n| Friday | 95 |\n| Saturday | 90 |\n| Sunday | 85 |\n| Monday | 93 |\n| Tuesday | 92 |" } ] }, { "id": "12248", "image": "12248.png", "conversations": [ { "from": "human", "question": "The members of the track team compared how many miles they ran last week. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n3, 8, 5, 7, 7, 8, 8\n\nFirst, arrange the numbers from least to greatest:\n\n3, 5, 7, 7, 8, 8, 8\n\nNow find the number in the middle.\n\n3, 5, 7, 7, 8, 8, 8\n\nThe number in the middle is 7.\n\nThe median is 7.", "answer": "7", "table": "**Running miles**\n\n| Name | Miles |\n| --- | --- |\n| Shawna | 3 |\n| Dale | 8 |\n| Troy | 5 |\n| Levi | 7 |\n| Eliana | 7 |\n| Brenda | 8 |\n| Jeanette | 8 |" } ] }, { "id": "12256", "image": "12256.png", "conversations": [ { "from": "human", "question": "Some students compared how many clubs they belong to. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n8, 2, 8, 4, 9, 9, 10, 4\n\nFirst, find the greatest number. The greatest number is 10.\n\nNext, find the least number. The least number is 2.\n\nSubtract the least number from the greatest number:\n\n10 − 2 = 8\n\nThe range is 8.", "answer": "8", "table": "**Clubs**\n\n| Name | Number of clubs |\n| --- | --- |\n| Jaylen | 8 |\n| Erin | 2 |\n| Wendy | 8 |\n| Samuel | 4 |\n| Mia | 9 |\n| Liz | 9 |\n| Zack | 10 |\n| Andy | 4 |" } ] }, { "id": "12263", "image": "12263.png", "conversations": [ { "from": "human", "question": "An author kept a log of how many pages he wrote in the past 7 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n27, 26, 33, 33, 43, 34, 39\n\nFirst, arrange the numbers from least to greatest:\n\n26, 27, 33, 33, 34, 39, 43\n\nNow find the number in the middle.\n\n26, 27, 33, 33, 34, 39, 43\n\nThe number in the middle is 33.\n\nThe median is 33.", "answer": "33", "table": "**Pages written**\n\n| Day | Number of pages |\n| --- | --- |\n| Friday | 27 |\n| Saturday | 26 |\n| Sunday | 33 |\n| Monday | 33 |\n| Tuesday | 43 |\n| Wednesday | 34 |\n| Thursday | 39 |" } ] }, { "id": "12266", "image": "12266.png", "conversations": [ { "from": "human", "question": "Dillon purchased 5 kilograms of chocolate chip cookie dough, 1 kilogram of gingersnap cookie dough, and 5 kilograms of peanut butter cookie dough. What was the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the chocolate chip cookie dough. Multiply:\n\n$2 × 5 = $10\n\nFind the cost of the gingersnap cookie dough. Multiply:\n\n$3 × 1 = $3\n\nFind the cost of the peanut butter cookie dough. Multiply:\n\n$3 × 5 = $15\n\nNow find the total cost by adding:\n\n$10 + $3 + $15 = $28\n\nThe total cost was $28.", "answer": "28", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| peanut butter cookie dough | $3 per kilogram |\n| snickerdoodle cookie dough | $3 per kilogram |\n| double chocolate cookie dough | $2 per kilogram |\n| gingersnap cookie dough | $3 per kilogram |\n| chocolate chip cookie dough | $2 per kilogram |" } ] }, { "id": "12270", "image": "12270.png", "conversations": [ { "from": "human", "question": "The town council reported on how many stop signs there are on each street. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n10, 4, 9, 5, 7, 7, 9, 5\n\nFirst, count how many numbers are in the group.\n\nThere are 8 numbers.\n\nNow add all the numbers together:\n\n10 + 4 + 9 + 5 + 7 + 7 + 9 + 5 = 56\n\nNow divide the sum by the number of numbers:\n\n56 ÷ 8 = 7\n\nThe mean is 7.", "answer": "7", "table": "**Stop signs**\n\n| Street | Number of stop signs |\n| --- | --- |\n| Watson Street | 10 |\n| Walker Street | 4 |\n| Mason Street | 9 |\n| Peabody Street | 5 |\n| Spring Street | 7 |\n| Smith Street | 7 |\n| Jackson Street | 9 |\n| Marshall Street | 5 |" } ] }, { "id": "12278", "image": "12278.png", "conversations": [ { "from": "human", "question": "Lola wrote down how many minutes of TV she watched over the past 4 days. On which day did Lola watch the most TV?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 39.\n\nNow find the corresponding day. Sunday corresponds to 39.", "answer": "Sunday", "table": "**Minutes of TV watched**\n\n| Day | Minutes |\n| --- | --- |\n| Saturday | 31 |\n| Sunday | 39 |\n| Monday | 35 |\n| Tuesday | 34 |" } ] }, { "id": "12280", "image": "12280.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{17 - 18}{1 - 0}\n = \\frac{-1}{1}\n = -1\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{16 - 18}{2 - 0}\n = \\frac{-2}{2}\n = -1\nThe two rates of change are the same.\n1.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 0 | 18 |\n| 1 | 17 |\n| 2 | 16 |" } ] }, { "id": "12299", "image": "12299.png", "conversations": [ { "from": "human", "question": "Students who graduate from Lynch University can receive Latin honors if they excelled in their studies. What fraction of students receiving honors graduated cum laude? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many students graduated cum laude.\n\n83\n\nFind how many students graduated with honors in total.\n\n75 + 83 + 19 = 177\n\nDivide 83 by177.\n\n\\frac{83}{177}\n\n\\frac{83}{177} of students graduated cum laude.", "answer": "83/177", "table": "**Honors**\n\n| Rank | Number of graduates |\n| --- | --- |\n| Summa cum laude | 75 |\n| Cum laude | 83 |\n| Magna cum laude | 19 |" } ] }, { "id": "12300", "image": "12300.png", "conversations": [ { "from": "human", "question": "How much money does Brody need to buy a book about fish and a book about trains?\n" }, { "from": "gpt", "solution": "Add the price of a book about fish and the price of a book about trains:\n\n$11 + $21 = $32\n\nBrody needs $32.", "answer": "32", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| book about fish | $11 |\n| book about art | $13 |\n| book about Europe | $21 |\n| book about trains | $21 |" } ] }, { "id": "12304", "image": "12304.png", "conversations": [ { "from": "human", "question": "The parks department compared how many basketball hoops there are at each park. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n5, 3, 10, 2, 10, 1\n\nFirst, find the greatest number. The greatest number is 10.\n\nNext, find the least number. The least number is 1.\n\nSubtract the least number from the greatest number:\n\n10 − 1 = 9\n\nThe range is 9.", "answer": "9", "table": "**Basketball hoops**\n\n| Park | Number of basketball hoops |\n| --- | --- |\n| Mooreland Park | 5 |\n| Pinehurst Park | 3 |\n| Otter Park | 10 |\n| Linden Park | 2 |\n| Heron Park | 10 |\n| Riverfront Park | 1 |" } ] }, { "id": "12307", "image": "12307.png", "conversations": [ { "from": "human", "question": "A food industry researcher compiled the revenues of several pizzerias. Which restaurant made more from pizzas, Taste of New York or New York Slice?\n" }, { "from": "gpt", "solution": "Add the numbers in the Taste of New York row. Then, add the numbers in the New York Slice row.\n\nTaste of New York: $18.00 + $12.00 = $30.00\nNew York Slice: $13.00 + $8.00 = $21.00\n\n$30.00 is more than $21.00. Taste of New York made more from pizzas.", "answer": "Taste of New York", "table": "**Pizza sales**\n\n| Restaurant | Vegetarian pizzas | Supreme pizzas |\n| --- | --- | --- |\n| Taste of New York | $18 | $12 |\n| Pizza, Pasta and More | $12 | $19 |\n| New York Slice | $13 | $8 |" } ] }, { "id": "12316", "image": "12316.png", "conversations": [ { "from": "human", "question": "A car dealership tracked the number of cars sold each month. In which month did the dealership sell the fewest cars?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 225.\n\nNow find the corresponding month. August corresponds to 225.", "answer": "August", "table": "**Cars sold**\n\n| Month | Number of cars |\n| --- | --- |\n| May | 249 |\n| June | 245 |\n| July | 254 |\n| August | 225 |" } ] }, { "id": "12319", "image": "12319.png", "conversations": [ { "from": "human", "question": "For a science fair project, Janice tracked the temperature each day. How many temperature readings were exactly 24°C?\n" }, { "from": "gpt", "solution": "For the number 24, the stem is 2, and the leaf is 4. Find the row where the stem is 2. In that row, count all the leaves equal to 4.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 temperature readings were exactly24°C.", "answer": "2", "table": "**Daily temperatures (°C)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 2, 9 |\n| 2 | 4, 4 |\n| 3 | 5, 7 |\n| 4 | 3 |" } ] }, { "id": "12320", "image": "12320.png", "conversations": [ { "from": "human", "question": "A real estate agent counted the number of offices per floor in the building she is selling. What is the largest number of offices?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 8.\n\nNow find the highest leaf in the last row. The highest leaf is 3.\n\nThe largest number of offices has a stem of 8 and a leaf of 3. Write the stem first, then the leaf: 83.\n\nThe largest number of offices is 83 offices.", "answer": "83", "table": "**Offices per floor**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 5, 6, 9 |\n| 2 | 4, 9, 9 |\n| 3 | 1, 2, 7 |\n| 4 | 6, 7, 8, 9 |\n| 5 | 2, 3 |\n| 6 | 1, 3, 5, 6, 7 |\n| 7 | 4, 5, 6 |\n| 8 | 3 |" } ] }, { "id": "12323", "image": "12323.png", "conversations": [ { "from": "human", "question": "How much money does Tyler need to buy 3 dump trucks and 6 bulldozer?\n" }, { "from": "gpt", "solution": "Find the cost of 3 dump trucks.\n\n$7,364 × 3 = $22,092\n\nFind the cost of 6 bulldozer.\n\n$5,946 × 6 = $35,676\n\nNow find the total cost.\n\n$22,092 + $35,676 = $57,768\n\nTyler needs $57,768.", "answer": "57,768", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| crane | $8,482 |\n| forklift | $8,120 |\n| race car | $8,043 |\n| bulldozer | $5,946 |\n| dump truck | $7,364 |" } ] }, { "id": "12324", "image": "12324.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which class ends at 3.20 P.M.?\n" }, { "from": "gpt", "solution": "Find 3:20 P. M. on the schedule. Architecture class ends at 3:20 P. M.", "answer": "Architecture class", "table": "**Art teacher's schedule**\n\n| Class | Begin | End |\n| --- | --- | --- |\n| Interior Design | 8:35 A.M. | 9:50 A.M. |\n| Advanced Art | 10:05 A.M. | 11:20 A.M. |\n| Art History | 11:25 A.M. | 12:25 P.M. |\n| Photography | 12:30 P.M. | 1:30 P.M. |\n| Architecture | 1:45 P.M. | 3:20 P.M. |\n| Pottery | 3:30 P.M. | 4:35 P.M. |" } ] }, { "id": "12326", "image": "12326.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does Swimming class begin?\n" }, { "from": "gpt", "solution": "Find Swimming class on the schedule. Find the beginning time for Swimming class.\n\nSwimming: 11:45 A. M.", "answer": "11:45 A.M.", "table": "**Gym teacher's schedule**\n\n| Class | Begin | End |\n| --- | --- | --- |\n| Soccer | 7:45 A.M. | 9:25 A.M. |\n| Basketball | 9:40 A.M. | 10:10 A.M. |\n| Tennis | 10:20 A.M. | 11:40 A.M. |\n| Swimming | 11:45 A.M. | 12:45 P.M. |\n| Aerobics | 1:00 P.M. | 2:30 P.M. |" } ] }, { "id": "12327", "image": "12327.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $55, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $55, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $55 | 19,100 | 5,000 |\n| $135 | 17,000 | 8,800 |\n| $215 | 14,900 | 12,600 |\n| $295 | 12,800 | 16,400 |\n| $375 | 10,700 | 20,200 |" } ] }, { "id": "12331", "image": "12331.png", "conversations": [ { "from": "human", "question": "Each toy bin has 10 yellow blocks. How many yellow blocks are in 3 toy bins?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 30 yellow blocks in 3 toy bins.", "answer": "30", "table": "| Number of toy bins | Number of yellow blocks |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | ? |" } ] }, { "id": "12332", "image": "12332.png", "conversations": [ { "from": "human", "question": "Nora purchased 2/5 of a pound of raspberry applesauce. What was the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the raspberry applesauce. Multiply the price per pound by the number of pounds.\n$2 × \\frac{2}{5} = $2 × 0.4 = $0.80\nThe total cost was $0.80.", "answer": "0.80", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| unsweetened applesauce | $5/pound |\n| blueberry applesauce | $4/pound |\n| raspberry applesauce | $2/pound |\n| cranberry applesauce | $2/pound |\n| plain applesauce | $6/pound |\n| strawberry applesauce | $6/pound |" } ] }, { "id": "12334", "image": "12334.png", "conversations": [ { "from": "human", "question": "An ice cream shop kept track of how many ice cream cones it sold in the past 4 days. How many more ice cream cones did the shop sell on Thursday than on Wednesday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nThursday: 840\nWednesday: 180\n\nNow subtract: 840 - 180 = 660.\n\nThe shop sold 660 more ice cream cones on Thursday.", "answer": "660", "table": "**Ice cream cones sold**\n\n| Day | Number of ice cream cones |\n| --- | --- |\n| Wednesday | 180 |\n| Thursday | 840 |\n| Friday | 680 |\n| Saturday | 495 |" } ] }, { "id": "12371", "image": "12371.png", "conversations": [ { "from": "human", "question": "How much money does Luca need to buy a polished silver top shell and a spiral snail shell?\n" }, { "from": "gpt", "solution": "Add the price of a polished silver top shell and the price of a spiral snail shell:\n\n$0.40 + $0.77 = $1.17\n\nLuca needs $1.17.", "answer": "1.17", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| white spindle shell | $0.10 |\n| orange cone shell | $0.96 |\n| polished silver top shell | $0.40 |\n| oyster shell | $0.52 |\n| whole sand dollar | $0.87 |\n| spiral snail shell | $0.77 |" } ] }, { "id": "12372", "image": "12372.png", "conversations": [ { "from": "human", "question": "Some teachers compared how many years they have been teaching. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n4, 3, 4, 3, 3\n\nFirst, arrange the numbers from least to greatest:\n\n3, 3, 3, 4, 4\n\nNow count how many times each number appears.\n\n3 appears 3 times.\n4 appears 2 times.\n\nThe number that appears most often is 3.\n\nThe mode is 3.", "answer": "3", "table": "**Years of teaching**\n\n| Teacher | Number of years |\n| --- | --- |\n| Ms. Yamamoto | 4 |\n| Mr. Perez | 3 |\n| Miss Torres | 4 |\n| Mr. Boone | 3 |\n| Mr. Gutierrez | 3 |" } ] }, { "id": "12373", "image": "12373.png", "conversations": [ { "from": "human", "question": "How much money does Brennan need to buy a green colored pencil and a purple colored pencil?\n" }, { "from": "gpt", "solution": "Add the price of a green colored pencil and the price of a purple colored pencil:\n\n$0.76 + $0.94 = $1.70\n\nBrennan needs $1.70.", "answer": "1.70", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| green colored pencil | $0.76 |\n| thick black marker | $0.45 |\n| package of pencil lead | $0.71 |\n| mechanical pencil | $0.42 |\n| purple colored pencil | $0.94 |" } ] }, { "id": "12375", "image": "12375.png", "conversations": [ { "from": "human", "question": "How much money does Brianna need to buy 9 orders of steamed broccoli and 8 pepperoni pizzas?\n" }, { "from": "gpt", "solution": "Find the cost of 9 orders of steamed broccoli.\n\n$3.88 × 9 = $34.92\n\nFind the cost of 8 pepperoni pizzas.\n\n$9.64 × 8 = $77.12\n\nNow find the total cost.\n\n$34.92 + $77.12 = $112.04\n\nBrianna needs $112.04.", "answer": "112.04", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| lasagna | $6.24 |\n| steamed broccoli | $3.88 |\n| grilled steak | $8.93 |\n| pasta with clams | $9.07 |\n| pepperoni pizza | $9.64 |\n| cheese pizza | $4.78 |" } ] }, { "id": "12376", "image": "12376.png", "conversations": [ { "from": "human", "question": "How much more does a night's stay at Bay Breeze Resort cost than a night's stay at Daybreak Motel?\n" }, { "from": "gpt", "solution": "Subtract the price of a night's stay at Daybreak Motel from the price of a night's stay at Bay Breeze Resort.\n\n$404 - $100 = $304\n\nA night's stay at Bay Breeze Resort costs $304 more than a night's stay at Daybreak Motel.", "answer": "304", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| night's stay at Grand Vista Hotel | $406 |\n| night's stay at White Oak Motel | $367 |\n| night's stay at Bay Breeze Resort | $404 |\n| night's stay at Daybreak Motel | $100 |" } ] }, { "id": "12385", "image": "12385.png", "conversations": [ { "from": "human", "question": "A publisher invited authors to write stories for a special anthology. How many authors wrote more than 5 stories?\n" }, { "from": "gpt", "solution": "Find the row for 6 stories and read the frequency. The frequency is 11.\n\n11 authors wrote more than 5 stories.", "answer": "11", "table": "**Writing stories**\n\n| Stories written | Frequency |\n| --- | --- |\n| 1 | 3 |\n| 2 | 9 |\n| 3 | 13 |\n| 4 | 0 |\n| 5 | 4 |\n| 6 | 11 |" } ] }, { "id": "12393", "image": "12393.png", "conversations": [ { "from": "human", "question": "The Morrison Senior Care Center monitored how often its residents got to visit with relatives last year. How many residents visited with relatives exactly 5 times last year?\n" }, { "from": "gpt", "solution": "Find the row for 5 times and read the frequency. The frequency is 5.\n\n5 residents visited with relatives exactly 5 times last year.", "answer": "5", "table": "**Visiting with relatives last year**\n\n| Number of visits | Frequency |\n| --- | --- |\n| 0 | 1 |\n| 1 | 12 |\n| 2 | 8 |\n| 3 | 20 |\n| 4 | 15 |\n| 5 | 5 |\n| 6 | 9 |" } ] }, { "id": "12406", "image": "12406.png", "conversations": [ { "from": "human", "question": "Damon graphed the temperature at noon for 5 days. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 5, 5, 5, 7\n\nFirst, arrange the numbers from least to greatest:\n\n5, 5, 5, 7, 7\n\nNow count how many times each number appears.\n\n5 appears 3 times.\n7 appears 2 times.\n\nThe number that appears most often is 5.\n\nThe mode is 5.", "answer": "5", "table": "**Temperature at noon**\n\n| Day | Temperature (°C) |\n| --- | --- |\n| Thursday | 7 |\n| Friday | 5 |\n| Saturday | 5 |\n| Sunday | 5 |\n| Monday | 7 |" } ] }, { "id": "12407", "image": "12407.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does the train depart from Lexington?\n" }, { "from": "gpt", "solution": "Find Lexington on the schedule. Find the departure time for Lexington.\n\nLexington: 4:45 P. M.", "answer": "4:45 P.M.", "table": "**Train schedule**\n\n| Location | Arrive | Depart |\n| --- | --- | --- |\n| Centerville | 10:00 A.M. | 10:05 A.M. |\n| Wildgrove | 11:20 A.M. | 11:25 A.M. |\n| Fairfax | 11:55 A.M. | 12:00 P.M. |\n| Bloomington | 12:55 P.M. | 1:00 P.M. |\n| Dover | 1:50 P.M. | 1:55 P.M. |\n| Westminster | 3:15 P.M. | 3:25 P.M. |\n| Lexington | 4:30 P.M. | 4:45 P.M. |\n| Springfield | 5:45 P.M. | 5:50 P.M. |" } ] }, { "id": "12410", "image": "12410.png", "conversations": [ { "from": "human", "question": "A juice shop tracked how many smoothies it sold in the past 4 days. How many smoothies in total did the shop sell on Saturday and Tuesday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nSaturday: 277\nTuesday: 153\n\nNow add: 277 + 153 = 430.\n\nThe shop sold 430 smoothies on Saturday and Tuesday.", "answer": "430", "table": "**Smoothies sold**\n\n| Day | Number of smoothies |\n| --- | --- |\n| Saturday | 277 |\n| Sunday | 313 |\n| Monday | 396 |\n| Tuesday | 153 |" } ] }, { "id": "12413", "image": "12413.png", "conversations": [ { "from": "human", "question": "Maddie spent a week at the beach and recorded the number of shells she found each day. According to the table, what was the rate of change between Sunday and Monday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{2 shells - 1 shell}{1 day}\n = \\frac{1 shell}{1 day}\n = 1 shell per day\nThe rate of change between Sunday and Monday was 1 shell per day.", "answer": "1", "table": "**Shells Maddie found**\n\n| Day | Number of shells |\n| --- | --- |\n| Sunday | 1 |\n| Monday | 2 |\n| Tuesday | 7 |\n| Wednesday | 6 |\n| Thursday | 5 |" } ] }, { "id": "12417", "image": "12417.png", "conversations": [ { "from": "human", "question": "How much more does pasta with pesto sauce cost than grilled eggplant?\n" }, { "from": "gpt", "solution": "Subtract the price of grilled eggplant from the price of pasta with pesto sauce.\n\n$13.54 - $12.38 = $1.16\n\nPasta with pesto sauce costs $1.16 more than grilled eggplant.", "answer": "1.16", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| grilled eggplant | $12.38 |\n| pasta with pesto sauce | $13.54 |\n| cheese pizza | $13.57 |\n| pasta with mushrooms | $14.28 |\n| spaghetti and meatballs | $13.46 |" } ] }, { "id": "12419", "image": "12419.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does the train depart from Winchester?\n" }, { "from": "gpt", "solution": "Find Winchester on the schedule. Find the departure time for Winchester.\n\nWinchester: 5:25 P. M.", "answer": "5:25 P.M.", "table": "**Train schedule**\n\n| Location | Arrive | Depart |\n| --- | --- | --- |\n| Hillsboro | 9:55 A.M. | 10:20 A.M. |\n| Campbell | 11:20 A.M. | 11:50 A.M. |\n| Lexington | 1:30 P.M. | 1:45 P.M. |\n| Westminster | 3:00 P.M. | 3:30 P.M. |\n| Winchester | 5:05 P.M. | 5:25 P.M. |\n| Dayton | 6:40 P.M. | 6:55 P.M. |\n| Kensington | 8:30 P.M. | 8:55 P.M. |\n| Manchester | 10:35 P.M. | 10:55 P.M. |\n| Lowell | 12:15 A.M. | 12:40 A.M. |\n| Weston | 1:35 A.M. | 2:05 A.M. |" } ] }, { "id": "12428", "image": "12428.png", "conversations": [ { "from": "human", "question": "In trying to calculate how much money could be saved by packing lunch, Felipe recorded the amount he spent on lunch each day. According to the table, what was the rate of change between Wednesday and Thursday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{$7 - $3}{1 day}\n = \\frac{$4}{1 day}\n = $4 perday\nThe rate of change between Wednesday and Thursday was $4 perday.", "answer": "4", "table": "**Amount Felipe spent on lunch**\n\n| Day | Amount spent |\n| --- | --- |\n| Monday | $5 |\n| Tuesday | $5 |\n| Wednesday | $3 |\n| Thursday | $7 |\n| Friday | $8 |" } ] }, { "id": "12431", "image": "12431.png", "conversations": [ { "from": "human", "question": "How much more does a Thoroughbred horse cost than an Appaloosa horse?\n" }, { "from": "gpt", "solution": "Subtract the price of an Appaloosa horse from the price of a Thoroughbred horse.\n\n$5,024.00 - $3,946.00 = $1,078.00\n\nA Thoroughbred horse costs $1,078.00 more than an Appaloosa horse.", "answer": "1,078", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| Appaloosa horse | $3,946.00 |\n| Morgan horse | $4,024.00 |\n| Hanoverian horse | $9,310.00 |\n| Thoroughbred horse | $5,024.00 |" } ] }, { "id": "12434", "image": "12434.png", "conversations": [ { "from": "human", "question": "Victor buys 0.1 pounds of alphabet confetti. What is the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the alphabet confetti. Multiply the price per pound by the number of pounds.\n$12 × 0.1 = $1.20\nThe total cost is $1.20.", "answer": "1.20", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| alphabet confetti | $12/lb |\n| star confetti | $10/lb |\n| holiday confetti | $11/lb |\n| animal confetti | $10/lb |\n| heart confetti | $10/lb |\n| graduation confetti | $11/lb |" } ] }, { "id": "12437", "image": "12437.png", "conversations": [ { "from": "human", "question": "Dana, a doctor's office receptionist, tracked the average waiting time at the office each month. According to the table, what was the rate of change between March and April?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{14 minutes - 14 minutes}{1 month}\n = \\frac{0 minutes}{1 month}\n = 0 minutes per month\nThe rate of change between March and April was 0 minutes per month.", "answer": "0", "table": "**Average waiting time at a doctor's office**\n\n| Month | Waiting time (minutes) |\n| --- | --- |\n| January | 13 |\n| February | 18 |\n| March | 14 |\n| April | 14 |\n| May | 14 |" } ] }, { "id": "12442", "image": "12442.png", "conversations": [ { "from": "human", "question": "Every afternoon, Matthew enjoys a cup of hot tea in one of his many teacups. Once, Matthew counted all the teacups in his collection, noting their colors and size. What is the probability that a randomly selected cup is yellow and medium? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the cup is yellow\" and B be the event \"the cup is medium\".\nTo find the probability that a cup is yellow and medium, first identify the sample space and the event.\nThe outcomes in the sample space are the different cups. Each cup is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the cup is yellow and medium\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the cup is yellow and medium\", so look at the table to see how many cups are yellow and medium.\nThe number of cups that are yellow and medium is 5.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of cups.\n3 + 5 + 3 + 5 = 16\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{5}{16}\nThe probability that a cup is yellow and medium is \\frac{5}{16}.", "answer": "5/16", "table": "| | Small | Medium |\n| --- | --- | --- |\n| Green | 3 | 3 |\n| Yellow | 5 | 5 |" } ] }, { "id": "12443", "image": "12443.png", "conversations": [ { "from": "human", "question": "Michelle has $2.00. Does she have enough to buy a box of staples and a bottle of glue?\n" }, { "from": "gpt", "solution": "Add the price of a box of staples and the price of a bottle of glue:\n\n$0.84 + $0.94 = $1.78\n\n$1.78 is less than $2.00. Michelle does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| ruler | $0.88 |\n| box of staples | $0.84 |\n| box of paper clips | $0.94 |\n| bottle of glue | $0.94 |\n| notebook | $0.83 |" } ] }, { "id": "12451", "image": "12451.png", "conversations": [ { "from": "human", "question": "Franco's Candies has been studying how much chocolate people have been eating in different countries. How much more chocolate did Belgium consume per capita in 2005 than in 2002?\n" }, { "from": "gpt", "solution": "Find the Belgium row. Find the numbers in this row for 2005 and 2002.\n\n2005: 11\n2002: 8\n\nNow subtract:\n\n11 − 8 = 3\n\nBelgium consumed 3 kilograms more chocolate per capita in 2005 than in 2002.", "answer": "3", "table": "**Chocolate consumption per capita (kg)**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 2002 | 2005 |\n| Belgium | 8 | 11 |\n| Norway | 8 | 9 |\n| Sweden | 8 | 7 |\n| Denmark | 9 | 8 |" } ] }, { "id": "12454", "image": "12454.png", "conversations": [ { "from": "human", "question": "How much more does a macaw cost than a python?\n" }, { "from": "gpt", "solution": "Subtract the price of a python from the price of a macaw.\n\n$986 - $493 = $493\n\nA macaw costs $493 more than a python.", "answer": "493", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| macaw | $986 |\n| python | $493 |\n| ferret | $217 |\n| parrot | $827 |\n| boa constrictor | $506 |\n| gecko | $144 |" } ] }, { "id": "12455", "image": "12455.png", "conversations": [ { "from": "human", "question": "Zack decided to record the temperature every morning when he woke up. How many temperature readings were at least 10°C but less than 20°C?\n" }, { "from": "gpt", "solution": "Count all the leaves in the row with stem 1.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 temperature readings were at least 10°C but less than 20°C.", "answer": "2", "table": "**Daily temperatures (°C)**\n\n| Stem | Leaf |\n| --- | --- |\n| 0 | 0, 0, 2, 4, 7 |\n| 1 | 4, 9 |\n| 2 | 2, 7, 8 |\n| 3 | 1, 3, 9 |" } ] }, { "id": "12458", "image": "12458.png", "conversations": [ { "from": "human", "question": "In a study on public parking, the director of transportation counted the number of cars in each of the city's parking lots. How many parking lots had at least 50 cars?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 5, 6, 7, and 8.\n\nYou counted 19 leaves, which are blue in the stem-and-leaf plot above. 19 parking lots had at least 50 cars.", "answer": "19", "table": "**Cars per parking lot**\n\n| Stem | Leaf |\n| --- | --- |\n| 5 | 0, 0, 4 |\n| 6 | 0, 1, 5, 9 |\n| 7 | 1, 3, 4, 6, 7, 9 |\n| 8 | 1, 2, 4, 5, 7, 9 |" } ] }, { "id": "12460", "image": "12460.png", "conversations": [ { "from": "human", "question": "Bert has $0.12. Does he have enough to buy a four-inch nail and a gold tack?\n" }, { "from": "gpt", "solution": "Add the price of a four-inch nail and the price of a gold tack:\n\n$0.06 + $0.08 = $0.14\n\n$0.14 is more than $0.12. Bert does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| gold tack | $0.08 |\n| small metal hook | $0.04 |\n| four-inch nail | $0.06 |\n| elastic band | $0.09 |" } ] }, { "id": "12463", "image": "12463.png", "conversations": [ { "from": "human", "question": "The houses in Lily's town get their water from a local reservoir. Lily and a group of engineers monitor the water level for safety and health reasons. The change in water level over two months is shown in the table. During which month did the water level change more?\n" }, { "from": "gpt", "solution": "A positive change means the water level went up. A negative change means the water level went down.\nTo find the month the water level changed more, use absolute value. Absolute value tells you how much the water level changed each month.\nApril: |-6| = 6\nMay: |4| = 4\nThe water level went down 6 inches in April, and it only went up 4 inches in May. The water level changed more in April.", "answer": "April", "table": "| Month | Change in water level (in.) |\n| --- | --- |\n| April | -6 |\n| May | 4 |" } ] }, { "id": "12472", "image": "12472.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $825, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $825, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $825 | 16,900 | 3,500 |\n| $965 | 13,400 | 5,900 |\n| $1,105 | 9,900 | 8,300 |\n| $1,245 | 6,400 | 10,700 |\n| $1,385 | 2,900 | 13,100 |" } ] }, { "id": "12475", "image": "12475.png", "conversations": [ { "from": "human", "question": "At their family reunion, the Santiago family recorded everyone's age. How many people are at least 40 years old but less than 80 years old?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 4, 5, 6, and 7.\n\nYou counted 7 leaves, which are blue in the stem-and-leaf plot above. 7 people are at least 40 years old but less than 80 years old.", "answer": "7", "table": "**Ages**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 2, 5 |\n| 2 | 6 |\n| 3 | 6 |\n| 4 | 0, 2 |\n| 5 | 4, 5 |\n| 6 | 8 |\n| 7 | 2, 2 |\n| 8 | 0, 4 |" } ] }, { "id": "12478", "image": "12478.png", "conversations": [ { "from": "human", "question": "Desmond went to the store and bought 3 pounds of dill dip, 1 pound of bean dip, and 2 pounds of guacamole. How much did he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the dill dip. Multiply:\n\n$4 × 3 = $12\n\nFind the cost of the bean dip. Multiply:\n\n$3 × 1 = $3\n\nFind the cost of the guacamole. Multiply:\n\n$3 × 2 = $6\n\nNow find the total cost by adding:\n\n$12 + $3 + $6 = $21\n\nHe spent $21.", "answer": "21", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| bean dip | $3 per lb |\n| guacamole | $3 per lb |\n| dill dip | $4 per lb |\n| hummus | $2 per lb |" } ] }, { "id": "12481", "image": "12481.png", "conversations": [ { "from": "human", "question": "The Kingwood Art Museum recorded how many finger puppets the children made at last Sunday's art workshop. How many children made exactly 1 finger puppet?\n" }, { "from": "gpt", "solution": "Find the row for 1 finger puppet and read the frequency. The frequency is 16.\n\n16 children made exactly1 finger puppet.", "answer": "16", "table": "**Making finger puppets**\n\n| Finger puppets made | Frequency |\n| --- | --- |\n| 0 | 12 |\n| 1 | 16 |\n| 2 | 14 |\n| 3 | 2 |\n| 4 | 9 |" } ] }, { "id": "12487", "image": "12487.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. How long does it take to get from Surfing Beach to Kite Coast?\n" }, { "from": "gpt", "solution": "Read the times in the first column for Surfing Beach and Kite Coast.\n\nFind the elapsed time between 1:45 P. M. and 4:45 P. M. The elapsed time is 3 hours.\n\nNo matter which column of times you look at, the elapsed time is always 3 hours.", "answer": "3 hours", "table": "**Tour boat schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 | Column 5 | Column 6 |\n| --- | --- | --- | --- | --- | --- |\n| Rocky Cliffs | 6:45 A.M. | 7:30 A.M. | 8:30 A.M. | 9:00 A.M. | 9:45 A.M. |\n| Starfish Point | 8:15 A.M. | 9:00 A.M. | 10:00 A.M. | 10:30 A.M. | 11:15 A.M. |\n| Ocean City | 10:00 A.M. | 10:45 A.M. | 11:45 A.M. | 12:15 P.M. | 1:00 P.M. |\n| Lobster Pier | 11:15 A.M. | 12:00 P.M. | 1:00 P.M. | 1:30 P.M. | 2:15 P.M. |\n| Oyster Lighthouse | 12:30 P.M. | 1:15 P.M. | 2:15 P.M. | 2:45 P.M. | 3:30 P.M. |\n| Surfing Beach | 1:45 P.M. | 2:30 P.M. | 3:30 P.M. | 4:00 P.M. | 4:45 P.M. |\n| Sea Lion Docks | 2:30 P.M. | 3:15 P.M. | 4:15 P.M. | 4:45 P.M. | 5:30 P.M. |\n| The Boardwalk | 3:30 P.M. | 4:15 P.M. | 5:15 P.M. | 5:45 P.M. | 6:30 P.M. |\n| Kite Coast | 4:45 P.M. | 5:30 P.M. | 6:30 P.M. | 7:00 P.M. | 7:45 P.M. |" } ] }, { "id": "12488", "image": "12488.png", "conversations": [ { "from": "human", "question": "Emmy went to the store. She bought 4 kilograms of rotini pasta and 4 kilograms of spirali pasta. How much did she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the rotini pasta. Multiply:\n\n$2.86 × 4 = $11.44\n\nFind the cost of the spirali pasta. Multiply:\n\n$2.96 × 4 = $11.84\n\nNow find the total cost by adding:\n\n$11.44 + $11.84 = $23.28\n\nShe spent $23.28.", "answer": "23.28", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| farfalle pasta | $2.49 per kg |\n| rotini pasta | $2.86 per kg |\n| spirali pasta | $2.96 per kg |\n| penne pasta | $2.25 per kg |" } ] }, { "id": "12489", "image": "12489.png", "conversations": [ { "from": "human", "question": "For a math assignment, Wendy researched the scores of the people competing on her favorite quiz show. How many people scored at least 50 points but fewer than 100 points?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 5, 6, 7, 8, and 9.\n\nYou counted 5 leaves, which are blue in the stem-and-leaf plot above. 5 people scored at least 50 points but fewer than 100 points.", "answer": "5", "table": "**Quiz show scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 0 | 3 |\n| 1 | |\n| 2 | 0, 0, 3, 5 |\n| 3 | 1, 2, 7 |\n| 4 | |\n| 5 | 8 |\n| 6 | |\n| 7 | 3, 5 |\n| 8 | 3 |\n| 9 | 0 |" } ] }, { "id": "12491", "image": "12491.png", "conversations": [ { "from": "human", "question": "A technical support line tracked how many calls it received each day. On which day did the support line receive the fewest calls?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 218.\n\nNow find the corresponding day. Sunday corresponds to 218.", "answer": "Sunday", "table": "**Phone calls received**\n\n| Day | Number of calls |\n| --- | --- |\n| Saturday | 282 |\n| Sunday | 218 |\n| Monday | 228 |\n| Tuesday | 281 |" } ] }, { "id": "12500", "image": "12500.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. How long does it take to get from the shopping mall to the hospital?\n" }, { "from": "gpt", "solution": "Read the times in the first column for the shopping mall and the hospital.\n\nFind the elapsed time between 10:30 A. M. and 11:30 A. M. The elapsed time is 1 hour.\n\nNo matter which column of times you look at, the elapsed time is always 1 hour.", "answer": "1 hour", "table": "**Light rail train schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 |\n| --- | --- | --- | --- |\n| city hall | 10:15 A.M. | 10:45 A.M. | 11:00 A.M. |\n| shopping mall | 10:30 A.M. | 11:00 A.M. | 11:15 A.M. |\n| swimming pool | 11:00 A.M. | 11:30 A.M. | 11:45 A.M. |\n| art museum | 11:15 A.M. | 11:45 A.M. | 12:00 P.M. |\n| hospital | 11:30 A.M. | 12:00 P.M. | 12:15 P.M. |\n| library | 11:45 A.M. | 12:15 P.M. | 12:30 P.M. |\n| post office | 12:00 P.M. | 12:30 P.M. | 12:45 P.M. |\n| soccer field | 12:30 P.M. | 1:00 P.M. | 1:15 P.M. |\n| university | 1:00 P.M. | 1:30 P.M. | 1:45 P.M. |" } ] }, { "id": "12501", "image": "12501.png", "conversations": [ { "from": "human", "question": "Each bouquet has 5 lilies. How many lilies are in 3 bouquets?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 15 lilies in 3 bouquets.", "answer": "15", "table": "| Number of bouquets | Number of lilies |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | ? |" } ] }, { "id": "12504", "image": "12504.png", "conversations": [ { "from": "human", "question": "How much money does Brooke need to buy a night's stay at Grand Vista Hotel and a night's stay at Bay Breeze Resort?\n" }, { "from": "gpt", "solution": "Add the price of a night's stay at Grand Vista Hotel and the price of a night's stay at Bay Breeze Resort:\n\n$275 + $354 = $629\n\nBrooke needs $629.", "answer": "629", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| night's stay at Grand Vista Hotel | $275 |\n| night's stay at Quiet Harbor Motel | $338 |\n| night's stay at Bay Breeze Resort | $354 |\n| night's stay at Crescent Motel | $211 |" } ] }, { "id": "12516", "image": "12516.png", "conversations": [ { "from": "human", "question": "A city recorded how many people rode the subway each day. How many people in total rode the subway on Tuesday and Wednesday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nTuesday: 2,206\nWednesday: 2,706\n\nNow add: 2,206 + 2,706 = 4,912.\n\n4,912 people rode the subway on Tuesday and Wednesday.", "answer": "4,912", "table": "**Subway riders**\n\n| Day | Number of riders |\n| --- | --- |\n| Monday | 2,651 |\n| Tuesday | 2,206 |\n| Wednesday | 2,706 |\n| Thursday | 3,194 |" } ] }, { "id": "12517", "image": "12517.png", "conversations": [ { "from": "human", "question": "Some friends compared the sizes of their sticker collections. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n72, 68, 69, 69, 69, 70, 73\n\nFirst, arrange the numbers from least to greatest:\n\n68, 69, 69, 69, 70, 72, 73\n\nNow find the number in the middle.\n\n68, 69, 69, 69, 70, 72, 73\n\nThe number in the middle is 69.\n\nThe median is 69.", "answer": "69", "table": "**Sticker collections**\n\n| Name | Number of stickers |\n| --- | --- |\n| Kenji | 72 |\n| Sophie | 68 |\n| Felipe | 69 |\n| Aiden | 69 |\n| Martin | 69 |\n| Desmond | 70 |\n| Carrie | 73 |" } ] }, { "id": "12522", "image": "12522.png", "conversations": [ { "from": "human", "question": "In considering whether to open a new branch, the city council examined the number of times some typical residents went to the library last month. How many people are there in all?\n" }, { "from": "gpt", "solution": "Add the frequencies for each row.\n\nAdd:\n\n1 + 8 + 20 + 9 + 2 = 40\n\nThere are 40 people in all.", "answer": "40", "table": "**Going to the library last month**\n\n| Number of trips | Frequency |\n| --- | --- |\n| 1 | 1 |\n| 2 | 8 |\n| 3 | 20 |\n| 4 | 9 |\n| 5 | 2 |" } ] }, { "id": "12525", "image": "12525.png", "conversations": [ { "from": "human", "question": "Tristan wants to buy 0.6 pounds of cashews. How much will he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the cashews. Multiply the price per pound by the number of pounds.\n$12 × 0.6 = $7.20\nHe will spend $7.20.", "answer": "7.20", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| walnuts | $8/lb |\n| peanuts | $5/lb |\n| pecans | $6/lb |\n| almonds | $10/lb |\n| hazelnuts | $8/lb |\n| cashews | $12/lb |" } ] }, { "id": "12541", "image": "12541.png", "conversations": [ { "from": "human", "question": "Kenji just downloaded the new game Gem Excavator on his phone. In the first level, Kenji gains points for each green gem he finds. However, he loses points for each red gem he finds. The table shows how the gems affect Kenji's points. Which color gem affects Kenji's points less?\n" }, { "from": "gpt", "solution": "To find the gem that affects Kenji's points less, use absolute value. Absolute value tells you how much Kenji's points change for each color gem.\nGreen: |25| = 25\nRed: |-40| = 40\nKenji gains 25 points for each green gem he finds, and he loses 40 points for each red gem he finds. So, the green gems affect Kenji's points less.", "answer": "green", "table": "| Gem color | Change in points |\n| --- | --- |\n| Green | 25 |\n| Red | -40 |" } ] }, { "id": "12542", "image": "12542.png", "conversations": [ { "from": "human", "question": "Miranda has $72.00. Does she have enough to buy a toy guitar and a model airplane?\n" }, { "from": "gpt", "solution": "Add the price of a toy guitar and the price of a model airplane:\n\n$28.91 + $44.77 = $73.68\n\n$73.68 is more than $72.00. Miranda does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| stuffed animal | $19.11 |\n| mystery game | $17.63 |\n| trampoline | $91.90 |\n| model airplane | $44.77 |\n| toy guitar | $28.91 |" } ] }, { "id": "12546", "image": "12546.png", "conversations": [ { "from": "human", "question": "The coach of the Academic Bowl recorded the scores in a trivia game to determine who would represent the school at the regional competition. Which score did the greatest number of people receive?\n" }, { "from": "gpt", "solution": "Look at the frequency column. Find the greatest frequency. The greatest frequency is 20, which is in the row for 10. The greatest number of people scored 10.", "answer": "10", "table": "**Scores in a trivia game**\n\n| Score | Frequency |\n| --- | --- |\n| 5 | 7 |\n| 6 | 11 |\n| 7 | 1 |\n| 8 | 12 |\n| 9 | 6 |\n| 10 | 20 |" } ] }, { "id": "12548", "image": "12548.png", "conversations": [ { "from": "human", "question": "A bus driver paid attention to how many passengers her bus had each day. How many more passengers did the bus have on Wednesday than on Tuesday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nWednesday: 435\nTuesday: 261\n\nNow subtract: 435 - 261 = 174.\n\nThe bus had 174 more passengers on Wednesday.", "answer": "174", "table": "**People on the bus**\n\n| Day | Number of people |\n| --- | --- |\n| Monday | 589 |\n| Tuesday | 261 |\n| Wednesday | 435 |" } ] }, { "id": "12549", "image": "12549.png", "conversations": [ { "from": "human", "question": "How much money does Valentina need to buy a speedboat ride and an airplane ride?\n" }, { "from": "gpt", "solution": "Add the price of a speedboat ride and the price of an airplane ride:\n\n$403.00 + $787.00 = $1,190.00\n\nValentina needs $1,190.00.", "answer": "1,190", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| airplane ride | $787.00 |\n| speedboat ride | $403.00 |\n| helicopter ride | $250.00 |\n| sailboat ride | $245.00 |\n| hot air balloon ride | $543.00 |" } ] }, { "id": "12557", "image": "12557.png", "conversations": [ { "from": "human", "question": "A car dealership tracked the number of cars sold each month. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n12, 18, 11, 14, 20, 16, 19, 18\n\nFirst, count how many numbers are in the group.\n\nThere are 8 numbers.\n\nNow add all the numbers together:\n\n12 + 18 + 11 + 14 + 20 + 16 + 19 + 18 = 128\n\nNow divide the sum by the number of numbers:\n\n128 ÷ 8 = 16\n\nThe mean is 16.", "answer": "16", "table": "**Cars sold**\n\n| Month | Number of cars |\n| --- | --- |\n| March | 12 |\n| April | 18 |\n| May | 11 |\n| June | 14 |\n| July | 20 |\n| August | 16 |\n| September | 19 |\n| October | 18 |" } ] }, { "id": "12563", "image": "12563.png", "conversations": [ { "from": "human", "question": "A doctor's records revealed how many patients he saw each month. How many patients did the doctor see in total in June and August?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nJune: 1,433\nAugust: 1,507\n\nNow add: 1,433 + 1,507 = 2,940.\n\nThe doctor saw 2,940 patients in June and August.", "answer": "2,940", "table": "**Patients seen**\n\n| Month | Number of patients |\n| --- | --- |\n| April | 1,942 |\n| May | 1,532 |\n| June | 1,433 |\n| July | 1,981 |\n| August | 1,507 |" } ] }, { "id": "12567", "image": "12567.png", "conversations": [ { "from": "human", "question": "Turner buys 1 pound of shredded wheat. What is the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the shredded wheat. Multiply the price per pound by the number of pounds.\n\n$4.74 × 1 = $4.74\n\nThe total cost is $4.74.", "answer": "4.74", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| bran flakes | $5.96 per lb |\n| shredded wheat | $4.74 per lb |\n| granola | $3.32 per lb |\n| puffed wheat | $4.46 per lb |" } ] }, { "id": "12568", "image": "12568.png", "conversations": [ { "from": "human", "question": "An environmental agency examined how many trees were planted by different organizations. Which organization planted the most trees?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 994.\n\nNow find the corresponding organization. Dreaming Green corresponds to 994.", "answer": "Dreaming Green", "table": "**Trees planted**\n\n| Organization | Number of trees planted |\n| --- | --- |\n| Dreaming Green | 994 |\n| Let it Grow | 984 |\n| Plant It | 948 |\n| Acorns to Oaks | 989 |" } ] }, { "id": "12569", "image": "12569.png", "conversations": [ { "from": "human", "question": "The students in Mr. Osborne's class recorded the number of siblings that each has. How many students have more than 3 siblings?\n" }, { "from": "gpt", "solution": "Find the rows for 4, 5, and 6 siblings. Add the frequencies for these rows.\n\nAdd:\n\n19 + 6 + 17 = 42\n\n42 students have more than 3 siblings.", "answer": "42", "table": "**Siblings**\n\n| Number of siblings | Frequency |\n| --- | --- |\n| 0 | 11 |\n| 1 | 9 |\n| 2 | 8 |\n| 3 | 16 |\n| 4 | 19 |\n| 5 | 6 |\n| 6 | 17 |" } ] }, { "id": "12574", "image": "12574.png", "conversations": [ { "from": "human", "question": "Chad went to the store and bought 3/4 of a pound of oatmeal raisin cookie dough. How much did he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the oatmeal raisin cookie dough. Multiply the price per pound by the number of pounds.\n$7 × \\frac{3}{4} = $7 × 0.75 = $5.25\nHe spent $5.25.", "answer": "5.25", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| oatmeal raisin cookie dough | $7 per pound |\n| chocolate chip cookie dough | $5 per pound |\n| snickerdoodle cookie dough | $5 per pound |\n| double chocolate cookie dough | $6 per pound |\n| peanut butter cookie dough | $6 per pound |\n| gingersnap cookie dough | $4 per pound |" } ] }, { "id": "12589", "image": "12589.png", "conversations": [ { "from": "human", "question": "Look at this table. Is this relation a function?\n" }, { "from": "gpt", "solution": "Look at the x-values in the table.\n\nEach of the x-values is paired with only one y-value, so the relation is a function.", "answer": "yes", "table": "| x | y |\n| --- | --- |\n| 4 | 14 |\n| 3 | 4 |\n| 17 | 12 |" } ] }, { "id": "12591", "image": "12591.png", "conversations": [ { "from": "human", "question": "At a charity basketball shootout, excited fans counted the baskets and misses made by each of the team mascots. Did Tina Tiger or Wendy Wolverine have fewer misses?\n" }, { "from": "gpt", "solution": "Find the Misses column. Compare the numbers in this column for Tina Tiger and Wendy Wolverine.\n\n2 is less than 10. Wendy Wolverine had fewer misses.", "answer": "Wendy Wolverine", "table": "**Basketball team mascot shooting contest**\n\n| Mascot | Baskets | Misses |\n| --- | --- | --- |\n| Tony Tornado | 16 | 17 |\n| Rhianna Rhino | 11 | 5 |\n| Sally Seal | 18 | 15 |\n| Wendy Wolverine | 20 | 2 |\n| Tina Tiger | 12 | 10 |" } ] }, { "id": "12595", "image": "12595.png", "conversations": [ { "from": "human", "question": "How much would it cost to buy 4 pounds of sourdough bread crumbs and 4 pounds of pumpernickel bread crumbs?\n" }, { "from": "gpt", "solution": "Find the cost of the sourdough bread crumbs. Multiply:\n\n$5 × 4 = $20\n\nFind the cost of the pumpernickel bread crumbs. Multiply:\n\n$5 × 4 = $20\n\nNow find the total cost by adding:\n\n$20 + $20 = $40\n\nIt would cost $40.", "answer": "40", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| whole grain bread crumbs | $6/pound |\n| sourdough bread crumbs | $5/pound |\n| pumpernickel bread crumbs | $5/pound |\n| rye bread crumbs | $3/pound |" } ] }, { "id": "12597", "image": "12597.png", "conversations": [ { "from": "human", "question": "How much money does Marvin need to buy a cherry pie and 2 key lime pies?\n" }, { "from": "gpt", "solution": "Find the cost of 2 key lime pies.\n\n$14.14 × 2 = $28.28\n\nNow find the total cost.\n\n$13.78 + $28.28 = $42.06\n\nMarvin needs $42.06.", "answer": "42.06", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| carrot cake | $24.99 |\n| key lime pie | $14.14 |\n| cherry pie | $13.78 |\n| peach pie | $10.07 |\n| pecan pie | $12.86 |" } ] }, { "id": "12605", "image": "12605.png", "conversations": [ { "from": "human", "question": "How much money does Pamela need to buy a piece of red sandstone and a piece of fool's gold?\n" }, { "from": "gpt", "solution": "Add the price of a piece of red sandstone and the price of a piece of fool's gold:\n\n$0.09 + $0.04 = $0.13\n\nPamela needs $0.13.", "answer": "0.13", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| piece of fool's gold | $0.04 |\n| piece of black obsidian | $0.04 |\n| smooth piece of marble | $0.05 |\n| piece of red sandstone | $0.09 |" } ] }, { "id": "12609", "image": "12609.png", "conversations": [ { "from": "human", "question": "During health class, the students reported the number of times they ate fast food last month. How many students ate fast food more than 3 times?\n" }, { "from": "gpt", "solution": "Find the rows for 4 and 5 times. Add the frequencies for these rows.\n\nAdd:\n\n3 + 4 = 7\n\n7 students ate fast food more than 3 times.", "answer": "7", "table": "**Eating fast food last month**\n\n| Times eaten | Frequency |\n| --- | --- |\n| 0 | 15 |\n| 1 | 18 |\n| 2 | 19 |\n| 3 | 7 |\n| 4 | 3 |\n| 5 | 4 |" } ] }, { "id": "12612", "image": "12612.png", "conversations": [ { "from": "human", "question": "An ice cream shop in Belmont sells a variety of different flavors and keeps track of its weekly sales. What fraction of scoops served were rocky road? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many scoops of rocky road were served.\n\n680\n\nFind how many scoops were served in total.\n\n680 + 310 + 950 + 650 = 2,590\n\nDivide 680 by2,590.\n\n\\frac{680}{2,590}\n\nReduce the fraction.\n\n\\frac{680}{2,590} → \\frac{68}{259}\n\n\\frac{68}{259} of scoops of rocky road were served.", "answer": "68/259", "table": "**Ice cream sales**\n\n| Flavor | Scoops served |\n| --- | --- |\n| Rocky road | 680 |\n| Mint chip | 310 |\n| Strawberry | 950 |\n| Other | 650 |" } ] }, { "id": "12614", "image": "12614.png", "conversations": [ { "from": "human", "question": "A sports network displayed the number of Olympic medals won by certain countries over time. Which country won fewer medals in 1976, France or Finland?\n" }, { "from": "gpt", "solution": "Find the 1976 column. Compare the numbers in this column for France and Finland.\n\n6 is less than 9. Finland won fewer medals in 1976.", "answer": "Finland", "table": "**Olympic medals**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 1976 | 1980 |\n| Finland | 6 | 8 |\n| Brazil | 2 | 4 |\n| France | 9 | 14 |" } ] }, { "id": "12619", "image": "12619.png", "conversations": [ { "from": "human", "question": "The parks department compared how many basketball hoops there are at each park. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 3, 3, 15, 6, 6\n\nFirst, arrange the numbers from least to greatest:\n\n3, 3, 6, 6, 6, 15\n\nNow count how many times each number appears.\n\n3 appears 2 times.\n6 appears 3 times.\n15 appears 1 time.\n\nThe number that appears most often is 6.\n\nThe mode is 6.", "answer": "6", "table": "**Basketball hoops**\n\n| Park | Number of basketball hoops |\n| --- | --- |\n| Otter Park | 6 |\n| Linden Park | 3 |\n| Canal Park | 3 |\n| Heron Park | 15 |\n| Westfield Park | 6 |\n| Palm Park | 6 |" } ] }, { "id": "12620", "image": "12620.png", "conversations": [ { "from": "human", "question": "How much more does a fountain cost than a lawn chair?\n" }, { "from": "gpt", "solution": "Subtract the price of a lawn chair from the price of a fountain.\n\n$80 - $19 = $61\n\nA fountain costs $61 more than a lawn chair.", "answer": "61", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| hammock | $84 |\n| lawn chair | $19 |\n| red clay pot | $39 |\n| fountain | $80 |\n| iron bench | $78 |\n| wooden bench | $61 |" } ] }, { "id": "12622", "image": "12622.png", "conversations": [ { "from": "human", "question": "An actor was informed how many fan letters he received each day. On which day were the most fan letters received?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 98.\n\nNow find the corresponding day. Monday corresponds to 98.", "answer": "Monday", "table": "**Fan letters received**\n\n| Day | Number of fan letters |\n| --- | --- |\n| Monday | 98 |\n| Tuesday | 90 |\n| Wednesday | 95 |\n| Thursday | 97 |" } ] }, { "id": "12629", "image": "12629.png", "conversations": [ { "from": "human", "question": "Darnel found out the sizes of all the clubs at his school. How many clubs have at least 70 members?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 7, 8, and 9.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 clubs have at least 70 members.", "answer": "3", "table": "**Club sizes (number of members)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 4 |\n| 2 | 3, 6 |\n| 3 | |\n| 4 | 0, 9 |\n| 5 | 6 |\n| 6 | 3 |\n| 7 | 0 |\n| 8 | 8 |\n| 9 | 0 |" } ] }, { "id": "12635", "image": "12635.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $320, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $320, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $270 | 20,200 | 10,600 |\n| $320 | 20,000 | 12,500 |\n| $370 | 19,800 | 14,400 |\n| $420 | 19,600 | 16,300 |\n| $470 | 19,400 | 18,200 |" } ] }, { "id": "12636", "image": "12636.png", "conversations": [ { "from": "human", "question": "The employees at John's Construction monitored the number of cracked window panes in each shipment they received. What is the smallest number of cracked window panes?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 5.\n\nNow find the lowest leaf in the first row. The lowest leaf is 2.\n\nThe smallest number of cracked window panes has a stem of 5 and a leaf of 2. Write the stem first, then the leaf: 52.\n\nThe smallest number of cracked window panes is 52 cracked window panes.", "answer": "52", "table": "**Cracked window panes per shipment**\n\n| Stem | Leaf |\n| --- | --- |\n| 5 | 2, 4, 7, 8, 9, 9 |\n| 6 | 0, 2, 7, 7 |\n| 7 | 2, 8, 8 |\n| 8 | 0, 1, 2, 8 |\n| 9 | 0 |" } ] }, { "id": "12653", "image": "12653.png", "conversations": [ { "from": "human", "question": "Ian recalled how many minutes he had spent at theater rehearsal in the past 4 days. On which day did Ian rehearse the most?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 69.\n\nNow find the corresponding day. Monday corresponds to 69.", "answer": "Monday", "table": "**Minutes spent rehearsing**\n\n| Day | Minutes |\n| --- | --- |\n| Monday | 69 |\n| Tuesday | 67 |\n| Wednesday | 62 |\n| Thursday | 64 |" } ] }, { "id": "12654", "image": "12654.png", "conversations": [ { "from": "human", "question": "Anthony has $30. Does he have enough to buy a mystery game and a remote control car?\n" }, { "from": "gpt", "solution": "Add the price of a mystery game and the price of a remote control car:\n\n$20 + $11 = $31\n\n$31 is more than $30. Anthony does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| toy piano | $16 |\n| remote control car | $11 |\n| chess board | $22 |\n| mystery game | $20 |\n| trivia game | $18 |" } ] }, { "id": "12655", "image": "12655.png", "conversations": [ { "from": "human", "question": "Several students participated in a race. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n23, 39, 33, 35, 42, 38, 35, 43\n\nFirst, count how many numbers are in the group.\n\nThere are 8 numbers.\n\nNow add all the numbers together:\n\n23 + 39 + 33 + 35 + 42 + 38 + 35 + 43 = 288\n\nNow divide the sum by the number of numbers:\n\n288 ÷ 8 = 36\n\nThe mean is 36.", "answer": "36", "table": "**Race results**\n\n| Runner | Time (minutes) |\n| --- | --- |\n| Oliver | 23 |\n| Rosanne | 39 |\n| Ashley | 33 |\n| Warren | 35 |\n| Maria | 42 |\n| Hazel | 38 |\n| Baldwin | 35 |\n| Lacey | 43 |" } ] }, { "id": "12657", "image": "12657.png", "conversations": [ { "from": "human", "question": "Estelle counted the number of articles in several different magazines. How many magazines had at least 20 articles?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 2, 3, and 4.\n\nYou counted 8 leaves, which are blue in the stem-and-leaf plot above. 8 magazines had at least 20 articles.", "answer": "8", "table": "**Articles per magazine**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 3, 6 |\n| 2 | 5, 8, 9 |\n| 3 | 1, 2, 8 |\n| 4 | 6, 8 |" } ] }, { "id": "12661", "image": "12661.png", "conversations": [ { "from": "human", "question": "While looking through an almanac at the library, Anthony noticed some data showing the population density of various states. In 1990, which had more people per square mile, South Dakota or Montana?\n" }, { "from": "gpt", "solution": "Find the 1990 column. Compare the numbers in this column for South Dakota and Montana.\n\n9 is more than 5. South Dakota had more people per square mile in 1990.", "answer": "South Dakota", "table": "**Population per square mile**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| State | 1990 | 2000 |\n| South Dakota | 9 | 10 |\n| Montana | 5 | 6 |\n| Nevada | 10 | 18 |\n| North Dakota | 9 | 9 |\n| Wyoming | 4 | 5 |" } ] }, { "id": "12664", "image": "12664.png", "conversations": [ { "from": "human", "question": "To get credit for meeting his school's community service requirement, Tristan kept a volunteering log. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 7, 3, 5, 4, 5\n\nFirst, count how many numbers are in the group.\n\nThere are 6 numbers.\n\nNow add all the numbers together:\n\n6 + 7 + 3 + 5 + 4 + 5 = 30\n\nNow divide the sum by the number of numbers:\n\n30 ÷ 6 = 5\n\nThe mean is 5.", "answer": "5", "table": "**Hours spent volunteering**\n\n| Day | Hours |\n| --- | --- |\n| Wednesday | 6 |\n| Thursday | 7 |\n| Friday | 3 |\n| Saturday | 5 |\n| Sunday | 4 |\n| Monday | 5 |" } ] }, { "id": "12670", "image": "12670.png", "conversations": [ { "from": "human", "question": "A band from Arcadia went on tour over the summer, and each member chipped in for the cost of gas. What fraction of the gas money came from Jayden? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how much money Jayden contributed for gas.\n\n270\n\nFind how much money was contributed for gas in total.\n\n410 + 130 + 290 + 270 + 370 + 680 = 2,150\n\nDivide 270 by2,150.\n\n\\frac{270}{2,150}\n\nReduce the fraction.\n\n\\frac{270}{2,150} → \\frac{27}{215}\n\n\\frac{27}{215} of Find how much money Jayden contributed for gas.", "answer": "27/215", "table": "**Band tour gas costs**\n\n| Band member | Contribution ($) |\n| --- | --- |\n| Sidney | 410 |\n| Brenna | 130 |\n| Lila | 290 |\n| Jayden | 270 |\n| Marvin | 370 |\n| Caleb | 680 |" } ] }, { "id": "12680", "image": "12680.png", "conversations": [ { "from": "human", "question": "Liz bought 3/10 of a kilogram of sunflower seed butter. How much did she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the sunflower seed butter. Multiply the price per kilogram by the number of kilograms.\n$3 × \\frac{3}{10} = $3 × 0.3 = $0.90\nShe spent $0.90.", "answer": "0.90", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| cashew butter | $2 per kg |\n| macadamia nut butter | $3 per kg |\n| sunflower seed butter | $3 per kg |\n| walnut butter | $2 per kg |" } ] }, { "id": "12681", "image": "12681.png", "conversations": [ { "from": "human", "question": "To figure out how many vacation days she had left to use, Estelle looked over her old calendars to figure out how many days of vacation she had taken each year. According to the table, what was the rate of change between 2013 and 2014?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{26 vacation days - 31 vacation days}{2014 - 2013}\n = \\frac{26 vacation days - 31 vacation days}{1 year}\n = \\frac{-5 vacation days}{1 year}\n = -5 vacation days per year\nThe rate of change between 2013 and 2014 was - 5 vacation days per year.", "answer": "-5", "table": "**Vacation days taken by Estelle**\n\n| Year | Vacation days |\n| --- | --- |\n| 2011 | 27 |\n| 2012 | 26 |\n| 2013 | 31 |\n| 2014 | 26 |\n| 2015 | 30 |" } ] }, { "id": "12682", "image": "12682.png", "conversations": [ { "from": "human", "question": "A stock broker followed the stock prices of a certain set of companies. Which company's stock cost less on Wednesday, Computer Data Company or Thompson Corporation?\n" }, { "from": "gpt", "solution": "Find the Wednesday column. Compare the numbers in this column for Computer Data Company and Thompson Corporation.\n\n$4.00 is less than $10.00. On Wednesday, Thompson Corporation's stock cost less.", "answer": "Thompson Corporation", "table": "**Stock prices**\n\n| Company | Tuesday | Wednesday |\n| --- | --- | --- |\n| Computer Data Company | $20 | $10 |\n| Jonas Incorporated | $18 | $3 |\n| Watson and Partners | $6 | $11 |\n| Thompson Corporation | $5 | $4 |\n| White and Company | $8 | $10 |" } ] }, { "id": "12688", "image": "12688.png", "conversations": [ { "from": "human", "question": "The members of the track team compared how many miles they ran last week. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n2, 2, 3, 5, 2, 6, 3, 2\n\nFirst, find the greatest number. The greatest number is 6.\n\nNext, find the least number. The least number is 2.\n\nSubtract the least number from the greatest number:\n\n6 − 2 = 4\n\nThe range is 4.", "answer": "4", "table": "**Running miles**\n\n| Name | Miles |\n| --- | --- |\n| Reid | 2 |\n| Malia | 2 |\n| Olivia | 3 |\n| Betty | 5 |\n| Jaden | 2 |\n| Ian | 6 |\n| Whitney | 3 |\n| Philip | 2 |" } ] }, { "id": "12699", "image": "12699.png", "conversations": [ { "from": "human", "question": "How much would it cost to buy 4+9/10 kilograms of heart-shaped beads?\n" }, { "from": "gpt", "solution": "Find the cost of the heart-shaped beads. Multiply the price per kilogram by the number of kilograms.\n$3 × 4\\frac{9}{10} = $3 × 4.9 = $14.70\nIt would cost $14.70.", "answer": "14.70", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| star-shaped beads | $2/kg |\n| spherical beads | $2/kg |\n| oval beads | $3/kg |\n| heart-shaped beads | $3/kg |\n| square beads | $3/kg |\n| flower-shaped beads | $2/kg |\n| rectangular beads | $3/kg |" } ] }, { "id": "12704", "image": "12704.png", "conversations": [ { "from": "human", "question": "A vendor who sold bread at farmers' markets counted the number of leftover loaves at the end of each day. According to the table, what was the rate of change between Wednesday and Thursday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{33 loaves - 35 loaves}{1 day}\n = \\frac{-2 loaves}{1 day}\n = -2 loaves per day\nThe rate of change between Wednesday and Thursday was - 2 loaves per day.", "answer": "-2", "table": "**Loaves of leftover bread**\n\n| Day | Leftover loaves |\n| --- | --- |\n| Monday | 42 |\n| Tuesday | 30 |\n| Wednesday | 35 |\n| Thursday | 33 |\n| Friday | 36 |" } ] }, { "id": "12710", "image": "12710.png", "conversations": [ { "from": "human", "question": "A gymnast jotted down the number of cartwheels she did each day. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n76, 77, 79, 74, 74\n\nFirst, count how many numbers are in the group.\n\nThere are 5 numbers.\n\nNow add all the numbers together:\n\n76 + 77 + 79 + 74 + 74 = 380\n\nNow divide the sum by the number of numbers:\n\n380 ÷ 5 = 76\n\nThe mean is 76.", "answer": "76", "table": "**Doing cartwheels**\n\n| Day | Number of cartwheels |\n| --- | --- |\n| Sunday | 76 |\n| Monday | 77 |\n| Tuesday | 79 |\n| Wednesday | 74 |\n| Thursday | 74 |" } ] }, { "id": "12712", "image": "12712.png", "conversations": [ { "from": "human", "question": "How much money does Nate need to buy a history book and a spelling workbook?\n" }, { "from": "gpt", "solution": "Add the price of a history book and the price of a spelling workbook:\n\n$15 + $10 = $25\n\nNate needs $25.", "answer": "25", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| poetry book | $15 |\n| history book | $15 |\n| geography book | $11 |\n| spelling workbook | $10 |\n| picture book | $10 |\n| coloring book | $18 |" } ] }, { "id": "12713", "image": "12713.png", "conversations": [ { "from": "human", "question": "Some students compared how many blocks they live from school. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n5, 5, 3, 3, 5\n\nFirst, arrange the numbers from least to greatest:\n\n3, 3, 5, 5, 5\n\nNow count how many times each number appears.\n\n3 appears 2 times.\n5 appears 3 times.\n\nThe number that appears most often is 5.\n\nThe mode is 5.", "answer": "5", "table": "**Blocks from school**\n\n| Name | Number of blocks |\n| --- | --- |\n| Ian | 5 |\n| Austin | 5 |\n| Kenny | 3 |\n| Florence | 3 |\n| Lisa | 5 |" } ] }, { "id": "12725", "image": "12725.png", "conversations": [ { "from": "human", "question": "The Springtown Soup Company recorded the number of rotten tomatoes in each barrel it received. How many barrels had at least 10 rotten tomatoes but less than 50 rotten tomatoes?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1, 2, 3, and 4.\n\nYou counted 11 leaves, which are blue in the stem-and-leaf plot above. 11 barrels had at least 10 rotten tomatoes but less than 50 rotten tomatoes.", "answer": "11", "table": "**Rotten tomatoes per barrel**\n\n| Stem | Leaf |\n| --- | --- |\n| 0 | 6, 7, 7 |\n| 1 | 2, 3, 5 |\n| 2 | 0, 0, 1, 4 |\n| 3 | 2, 3, 4 |\n| 4 | 9 |\n| 5 | 0, 2, 9 |\n| 6 | 7, 9 |\n| 7 | 1, 6, 8 |\n| 8 | 3, 6 |" } ] }, { "id": "12726", "image": "12726.png", "conversations": [ { "from": "human", "question": "In a recent election at Li University, three people ran for student body president. What fraction of votes were for Brett? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many votes were for Brett.\n\n270\n\nFind how many votes there were in total.\n\n200 + 310 + 270 = 780\n\nDivide 270 by 780.\n\n\\frac{270}{780}\n\nReduce the fraction.\n\n\\frac{270}{780} → \\frac{9}{26}\n\n\\frac{9}{26} of votes were for Brett.", "answer": "9/26", "table": "**Election results**\n\n| Candidate | Votes |\n| --- | --- |\n| Danielle | 200 |\n| Leo | 310 |\n| Brett | 270 |" } ] }, { "id": "12729", "image": "12729.png", "conversations": [ { "from": "human", "question": "Tina wrote down how many pages she read over the past 4 days. On which day did Tina read the fewest pages?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 222.\n\nNow find the corresponding day. Saturday corresponds to 222.", "answer": "Saturday", "table": "**Pages read**\n\n| Day | Number of pages |\n| --- | --- |\n| Thursday | 268 |\n| Friday | 286 |\n| Saturday | 222 |\n| Sunday | 269 |" } ] }, { "id": "12731", "image": "12731.png", "conversations": [ { "from": "human", "question": "How much more does a precision balance cost than a telescope?\n" }, { "from": "gpt", "solution": "Subtract the price of a telescope from the price of a precision balance.\n\n$2,371.00 - $2,157.00 = $214.00\n\nA precision balance costs $214.00 more than a telescope.", "answer": "214", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| precision balance | $2,371.00 |\n| telescope | $2,157.00 |\n| laboratory freezer | $1,197.00 |\n| centrifuge | $8,565.00 |\n| autoclave | $5,871.00 |\n| microscope | $5,567.00 |" } ] }, { "id": "12732", "image": "12732.png", "conversations": [ { "from": "human", "question": "Rachel kept a log of how many minutes she spent practicing horseback riding over the past 4 days. On which day did Rachel practice the most?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 276.\n\nNow find the corresponding day. Wednesday corresponds to 276.", "answer": "Wednesday", "table": "**Minutes spent practicing**\n\n| Day | Minutes |\n| --- | --- |\n| Monday | 267 |\n| Tuesday | 221 |\n| Wednesday | 276 |\n| Thursday | 272 |" } ] }, { "id": "12734", "image": "12734.png", "conversations": [ { "from": "human", "question": "For an economics project, Porter determined the cost of ferry rides for bicycles and cars. Which charges less for a car, the Ocracoke ferry or the Mukilteu-Clinton ferry?\n" }, { "from": "gpt", "solution": "Find the Car column. Compare the numbers in this column for Ocracoke and Mukilteu-Clinton.\n\n$7.00 is less than $15.00. The Mukilteu-Clinton ferry charges less for a car.", "answer": "Mukilteu-Clinton", "table": "**Ferry fares**\n\n| Ferry | Bicycle | Car |\n| --- | --- | --- |\n| Mukilteu-Clinton | $5 | $7 |\n| Ocracoke | $3 | $15 |\n| Fauntleroy-Vashon | $5 | $15 |" } ] }, { "id": "12740", "image": "12740.png", "conversations": [ { "from": "human", "question": "Estelle spent a week at the beach and recorded the number of shells she found each day. According to the table, what was the rate of change between Wednesday and Thursday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{7 shells - 1 shell}{1 day}\n = \\frac{6 shells}{1 day}\n = 6 shells per day\nThe rate of change between Wednesday and Thursday was 6 shells per day.", "answer": "6", "table": "**Shells Estelle found**\n\n| Day | Number of shells |\n| --- | --- |\n| Sunday | 9 |\n| Monday | 1 |\n| Tuesday | 9 |\n| Wednesday | 1 |\n| Thursday | 7 |" } ] }, { "id": "12742", "image": "12742.png", "conversations": [ { "from": "human", "question": "Vicky looked at her calendar to figure out how much time she spent babysitting each month. In which month did Vicky babysit the least?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 51.\n\nNow find the corresponding month. December corresponds to 51.", "answer": "December", "table": "**Hours of babysitting**\n\n| Month | Hours |\n| --- | --- |\n| December | 51 |\n| January | 56 |\n| February | 52 |\n| March | 57 |" } ] }, { "id": "12746", "image": "12746.png", "conversations": [ { "from": "human", "question": "Kendra has $0.19. How much money will Kendra have left if she buys a piece of green slate and a piece of fool's gold?\n" }, { "from": "gpt", "solution": "Find the total cost of a piece of green slate and a piece of fool's gold.\n\n$0.09 + $0.03 = $0.12\n\nNow subtract the total cost from the starting amount.\n\n$0.19 - $0.12 = $0.07\n\nKendra will have $0.07 left.", "answer": "0.07", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| quartz crystal | $0.05 |\n| smooth piece of marble | $0.06 |\n| piece of fool's gold | $0.03 |\n| orange agate | $0.05 |\n| piece of polished granite | $0.08 |\n| piece of green slate | $0.09 |" } ] }, { "id": "12751", "image": "12751.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{6 - 13}{10 - 9}\n = \\frac{-7}{1}\n = -7\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{1 - 13}{11 - 9}\n = \\frac{-12}{2}\n = -6\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 9 | 13 |\n| 10 | 6 |\n| 11 | 1 |" } ] }, { "id": "12756", "image": "12756.png", "conversations": [ { "from": "human", "question": "How much money does Shannon need to buy a set of forks and a glass bowl?\n" }, { "from": "gpt", "solution": "Add the price of a set of forks and the price of a glass bowl:\n\n$18.92 + $14.90 = $33.82\n\nShannon needs $33.82.", "answer": "33.82", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| glass bowl | $14.90 |\n| teapot | $19.79 |\n| set of forks | $18.92 |\n| set of dishes | $29.02 |\n| cutting board | $28.84 |" } ] }, { "id": "12768", "image": "12768.png", "conversations": [ { "from": "human", "question": "Worried about going over her storage limit, Celine monitored the number of undeleted voicemail messages stored on her phone each day. According to the table, what was the rate of change between Sunday and Monday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{19 voicemail messages - 18 voicemail messages}{1 day}\n = \\frac{1 voicemail message}{1 day}\n = 1 voicemail message per day\nThe rate of change between Sunday and Monday was 1 voicemail message per day.", "answer": "1", "table": "**Voicemail messages on Celine's phone**\n\n| Day | Voicemail messages |\n| --- | --- |\n| Sunday | 18 |\n| Monday | 19 |\n| Tuesday | 18 |\n| Wednesday | 20 |\n| Thursday | 23 |" } ] }, { "id": "12773", "image": "12773.png", "conversations": [ { "from": "human", "question": "Deb kept track of the number of characters in each book she read. How many books had fewer than 37 characters?\n" }, { "from": "gpt", "solution": "Count all the leaves in the row with stem 2.\n\nIn the row with stem 3, count all the leaves less than 7.\n\nYou counted 9 leaves, which are blue in the stem-and-leaf plots above. 9 books had fewer than 37 characters.", "answer": "9", "table": "**Characters per book**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 0, 3, 4, 5, 6, 8 |\n| 3 | 2, 3, 6, 7, 9 |\n| 4 | 1 |\n| 5 | 5, 6, 7 |" } ] }, { "id": "12784", "image": "12784.png", "conversations": [ { "from": "human", "question": "A creative writing class compiled a list of their favorite superheroes. They listed each superhero's superpower and personality flaw. What is the probability that a randomly selected superhero is lazy and can fly? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the superhero is lazy\" and B be the event \"the superhero can fly\".\nTo find the probability that a superhero is lazy and can fly, first identify the sample space and the event.\nThe outcomes in the sample space are the different superheroes. Each superhero is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the superhero is lazy and can fly\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the superhero is lazy and can fly\", so look at the table to see how many superheroes are lazy and can fly.\nThe number of superheroes who are lazy and can fly is 3.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of superheroes.\n2 + 3 + 3 + 2 = 10\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{3}{10}\nThe probability that a superhero is lazy and can fly is \\frac{3}{10}.", "answer": "3/10", "table": "| | Fly | Read minds |\n| --- | --- | --- |\n| Forgetful | 2 | 3 |\n| Lazy | 3 | 2 |" } ] }, { "id": "12791", "image": "12791.png", "conversations": [ { "from": "human", "question": "How much money does Henry need to buy a history book and a science-fiction book?\n" }, { "from": "gpt", "solution": "Add the price of a history book and the price of a science-fiction book:\n\n$4.19 + $4.20 = $8.39\n\nHenry needs $8.39.", "answer": "8.39", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| science-fiction book | $4.20 |\n| science book | $5.00 |\n| coloring book | $6.38 |\n| history book | $4.19 |" } ] }, { "id": "12794", "image": "12794.png", "conversations": [ { "from": "human", "question": "How much money does Brad need to buy a horse key chain and a pig key chain?\n" }, { "from": "gpt", "solution": "Add the price of a horse key chain and the price of a pig key chain:\n\n$0.81 + $0.76 = $1.57\n\nBrad needs $1.57.", "answer": "1.57", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pig key chain | $0.76 |\n| pumpkin key chain | $0.77 |\n| piano key chain | $0.66 |\n| soccer ball key chain | $0.59 |\n| horse key chain | $0.81 |" } ] }, { "id": "12795", "image": "12795.png", "conversations": [ { "from": "human", "question": "Terrence, who rents properties for a living, measures all the offices in a building he is renting. How many offices are at least 10 square meters?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1, 2, 3, 4, 5, 6, 7, and 8.\n\nYou counted 7 leaves, which are blue in the stem-and-leaf plot above. 7 offices are at least 10 square meters.", "answer": "7", "table": "**Office sizes (square meters)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 9 |\n| 2 | 0, 5 |\n| 3 | |\n| 4 | 0, 5 |\n| 5 | |\n| 6 | 9 |\n| 7 | |\n| 8 | 8 |" } ] }, { "id": "12796", "image": "12796.png", "conversations": [ { "from": "human", "question": "For an economics project, Amelia determined the cost of ferry rides for bicycles and cars. On the Southport-Fort Fisher ferry, how much higher is the fare for a car than for a bicycle?\n" }, { "from": "gpt", "solution": "Find the Southport-Fort Fisher row. Find the numbers in this row for car and bicycle.\n\ncar: $5.00\nbicycle: $2.00\n\nNow subtract:\n\n$5.00 − $2.00 = $3.00\n\nOn the Southport-Fort Fisher ferry, the fare for a car is $3 higher than the fare for a bicycle.", "answer": "3", "table": "**Ferry fares**\n\n| Ferry | Car | Bicycle |\n| --- | --- | --- |\n| Fauntleroy-Vashon | $15 | $5 |\n| Seattle-Bremerton | $12 | $8 |\n| Southport-Fort Fisher | $5 | $2 |\n| Mukilteu-Clinton | $7 | $5 |\n| Ocracoke | $15 | $3 |" } ] }, { "id": "12798", "image": "12798.png", "conversations": [ { "from": "human", "question": "Professor Mason informed her students of their scores on the midterm exam. How many students scored exactly 48 points?\n" }, { "from": "gpt", "solution": "For the number 48, the stem is 4, and the leaf is 8. Find the row where the stem is 4. In that row, count all the leaves equal to 8.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 students scored exactly 48 points.", "answer": "4", "table": "**Midterm exam scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 1, 1 |\n| 3 | 2, 8 |\n| 4 | 0, 1, 1, 7, 8, 8, 8, 8, 9 |\n| 5 | 6, 6 |\n| 6 | 1, 5, 5 |\n| 7 | 0, 5, 9 |\n| 8 | 1, 4, 7 |\n| 9 | 0 |" } ] }, { "id": "12802", "image": "12802.png", "conversations": [ { "from": "human", "question": "For a social studies project, Kendra counted the number of classrooms in each school in the city. What is the largest number of classrooms?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 9.\n\nNow find the highest leaf in the last row. The highest leaf is 0.\n\nThe largest number of classrooms has a stem of 9 and a leaf of 0. Write the stem first, then the leaf: 90.\n\nThe largest number of classrooms is 90 classrooms.", "answer": "90", "table": "**Classrooms per school**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 6, 9 |\n| 2 | 2, 5 |\n| 3 | 0, 5, 6, 8 |\n| 4 | 5, 6, 9 |\n| 5 | 0, 2, 8 |\n| 6 | 5 |\n| 7 | |\n| 8 | 6 |\n| 9 | 0 |" } ] }, { "id": "12803", "image": "12803.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{11 - 9}{16 - 15}\n = \\frac{2}{1}\n = 2\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{13 - 9}{17 - 15}\n = \\frac{4}{2}\n = 2\nThe two rates of change are the same.\nIf you checked the rate of change between rows 2 and 3, you would find that it is also 2.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 15 | 9 |\n| 16 | 11 |\n| 17 | 13 |" } ] }, { "id": "12804", "image": "12804.png", "conversations": [ { "from": "human", "question": "Students at Lexington Middle School wrote and submitted poems for a district-wide writing contest. How many students wrote at least 4 poems?\n" }, { "from": "gpt", "solution": "Find the rows for 4, 5, and 6 poems. Add the frequencies for these rows.\n\nAdd:\n\n7 + 11 + 2 = 20\n\n20 students wrote at least 4 poems.", "answer": "20", "table": "**Writing poems**\n\n| Poems written | Frequency |\n| --- | --- |\n| 1 | 1 |\n| 2 | 4 |\n| 3 | 12 |\n| 4 | 7 |\n| 5 | 11 |\n| 6 | 2 |" } ] }, { "id": "12806", "image": "12806.png", "conversations": [ { "from": "human", "question": "Elise looked at her calendar to figure out how much time she spent babysitting each month. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 6, 3, 6, 2, 7, 3, 4\n\nFirst, count how many numbers are in the group.\n\nThere are 8 numbers.\n\nNow add all the numbers together:\n\n9 + 6 + 3 + 6 + 2 + 7 + 3 + 4 = 40\n\nNow divide the sum by the number of numbers:\n\n40 ÷ 8 = 5\n\nThe mean is 5.", "answer": "5", "table": "**Hours of babysitting**\n\n| Month | Hours |\n| --- | --- |\n| February | 9 |\n| March | 6 |\n| April | 3 |\n| May | 6 |\n| June | 2 |\n| July | 7 |\n| August | 3 |\n| September | 4 |" } ] }, { "id": "12809", "image": "12809.png", "conversations": [ { "from": "human", "question": "Donald has $0.07. Does he have enough to buy a scallop shell and a shiny gold shell?\n" }, { "from": "gpt", "solution": "Add the price of a scallop shell and the price of a shiny gold shell:\n\n$0.05 + $0.01 = $0.06\n\n$0.06 is less than $0.07. Donald does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| shiny gold shell | $0.01 |\n| whole sand dollar | $0.08 |\n| scallop shell | $0.05 |\n| beautiful yellow shell | $0.05 |\n| white spindle shell | $0.06 |" } ] }, { "id": "12814", "image": "12814.png", "conversations": [ { "from": "human", "question": "Look at this table. Is this relation a function?\n" }, { "from": "gpt", "solution": "Look at the x-values in the table.\n\nEach of the x-values is paired with only one y-value, so the relation is a function.", "answer": "yes", "table": "| x | y |\n| --- | --- |\n| 13 | 4 |\n| 10 | 8 |\n| 5 | 18 |\n| 18 | 10 |" } ] }, { "id": "12817", "image": "12817.png", "conversations": [ { "from": "human", "question": "For an assignment, Cora looked at which countries got the most Nobel Prizes in various decades. In the 1990s, how many more Nobel Prize winners did Germany have than Holland?\n" }, { "from": "gpt", "solution": "Find the 1990 s column. Find the numbers in this column for Germany and Holland.\n\nGermany: 7\nHolland: 3\n\nNow subtract:\n\n7 − 3 = 4\n\nGermany had 4 more Nobel Prize winners in the 1990 s than Holland.", "answer": "4", "table": "**Nobel Prize winners**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 1980s | 1990s |\n| Russia | 1 | 1 |\n| Germany | 11 | 7 |\n| Holland | 2 | 3 |\n| Italy | 3 | 1 |\n| Japan | 2 | 1 |" } ] }, { "id": "12834", "image": "12834.png", "conversations": [ { "from": "human", "question": "The teachers at a middle school counted how many computers they had in their classrooms. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 5, 5, 5, 6, 8\n\nFirst, find the greatest number. The greatest number is 8.\n\nNext, find the least number. The least number is 5.\n\nSubtract the least number from the greatest number:\n\n8 − 5 = 3\n\nThe range is 3.", "answer": "3", "table": "**Computers in classrooms**\n\n| Teacher | Number of computers |\n| --- | --- |\n| Ms. Cohen | 6 |\n| Mr. Schmidt | 5 |\n| Mr. Lim | 5 |\n| Mrs. Rossi | 5 |\n| Miss Murphy | 6 |\n| Mrs. Jansen | 8 |" } ] }, { "id": "12837", "image": "12837.png", "conversations": [ { "from": "human", "question": "Tammy has $27.00. Does she have enough to buy a yellow bath towel and a navy blue bath mat?\n" }, { "from": "gpt", "solution": "Add the price of a yellow bath towel and the price of a navy blue bath mat:\n\n$14.00 + $15.00 = $29.00\n\n$29.00 is more than $27.00. Tammy does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| navy blue bath mat | $15.00 |\n| beach blanket | $15.00 |\n| yellow bath towel | $14.00 |\n| fleece blanket | $19.00 |" } ] }, { "id": "12840", "image": "12840.png", "conversations": [ { "from": "human", "question": "A farmer counted the number of apples on each tree in her orchard. How many trees have exactly 35 apples?\n" }, { "from": "gpt", "solution": "For the number 35, the stem is 3, and the leaf is 5. Find the row where the stem is 3. In that row, count all the leaves equal to 5.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 trees have exactly 35 apples.", "answer": "2", "table": "**Apples per tree**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 5, 5, 8, 9 |\n| 4 | 0, 3, 5, 7 |\n| 5 | |\n| 6 | |\n| 7 | 1, 3 |\n| 8 | |\n| 9 | 0 |" } ] }, { "id": "12849", "image": "12849.png", "conversations": [ { "from": "human", "question": "Manuel has $1.77. Does he have enough to buy a pumpkin key chain and a frog key chain?\n" }, { "from": "gpt", "solution": "Add the price of a pumpkin key chain and the price of a frog key chain:\n\n$0.93 + $0.92 = $1.85\n\n$1.85 is more than $1.77. Manuel does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pumpkin key chain | $0.93 |\n| cat key chain | $0.58 |\n| frog key chain | $0.92 |\n| globe key chain | $0.80 |\n| cartoon character key chain | $0.67 |" } ] }, { "id": "12856", "image": "12856.png", "conversations": [ { "from": "human", "question": "For an economics project, Andy determined the cost of ferry rides for bicycles and cars. How much higher is the fare for a bicycle on the Seattle-Bremerton ferry than on the Southport-Fort Fisher ferry?\n" }, { "from": "gpt", "solution": "Find the Bicycle column. Find the numbers in this column for Seattle-Bremerton and Southport-Fort Fisher.\n\nSeattle-Bremerton: $8.00\nSouthport-Fort Fisher: $2.00\n\nNow subtract:\n\n$8.00 − $2.00 = $6.00\n\nThe fare for a bicycle is $6 more on the Seattle-Bremerton ferry than on the Southport-Fort Fisher ferry.", "answer": "6", "table": "**Ferry fares**\n\n| Ferry | Bicycle | Car |\n| --- | --- | --- |\n| Seattle-Bremerton | $8 | $12 |\n| Southport-Fort Fisher | $2 | $5 |\n| Ocracoke | $3 | $15 |\n| Fauntleroy-Vashon | $5 | $15 |" } ] }, { "id": "12858", "image": "12858.png", "conversations": [ { "from": "human", "question": "Martin has $93.00. Does he have enough to buy a wheelbarrow and a measuring tape?\n" }, { "from": "gpt", "solution": "Add the price of a wheelbarrow and the price of a measuring tape:\n\n$79.00 + $12.00 = $91.00\n\n$91.00 is less than $93.00. Martin does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| lawn sprinkler | $14.00 |\n| wheelbarrow | $79.00 |\n| mop | $17.00 |\n| measuring tape | $12.00 |\n| hammer | $18.00 |\n| broom | $13.00 |" } ] }, { "id": "12866", "image": "12866.png", "conversations": [ { "from": "human", "question": "The students in Mr. Avila's class recorded the number of siblings that each has. How many students in the class do not have any siblings?\n" }, { "from": "gpt", "solution": "Find the row for 0 siblings and read the frequency. The frequency is 8.\n\n8 students in the class do not have any siblings.", "answer": "8", "table": "**Siblings**\n\n| Number of siblings | Frequency |\n| --- | --- |\n| 0 | 8 |\n| 1 | 0 |\n| 2 | 19 |\n| 3 | 20 |\n| 4 | 7 |" } ] }, { "id": "12867", "image": "12867.png", "conversations": [ { "from": "human", "question": "Elijah recalled how many minutes he had spent at theater rehearsal in the past 5 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n84, 94, 77, 100, 83\n\nFirst, arrange the numbers from least to greatest:\n\n77, 83, 84, 94, 100\n\nNow find the number in the middle.\n\n77, 83, 84, 94, 100\n\nThe number in the middle is 84.\n\nThe median is 84.", "answer": "84", "table": "**Minutes spent rehearsing**\n\n| Day | Minutes |\n| --- | --- |\n| Monday | 84 |\n| Tuesday | 94 |\n| Wednesday | 77 |\n| Thursday | 100 |\n| Friday | 83 |" } ] }, { "id": "12869", "image": "12869.png", "conversations": [ { "from": "human", "question": "How much more does a map of the world cost than a coloring book?\n" }, { "from": "gpt", "solution": "Subtract the price of a coloring book from the price of a map of the world.\n\n$5.82 - $5.22 = $0.60\n\nA map of the world costs $0.60 more than a coloring book.", "answer": "0.60", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| coloring book | $5.22 |\n| map of the world | $5.82 |\n| map of Canada | $5.87 |\n| map of the United States | $6.51 |\n| book of brainteasers | $4.99 |\n| airplane calendar | $2.46 |" } ] }, { "id": "12874", "image": "12874.png", "conversations": [ { "from": "human", "question": "A city planner counted the number of floors per building in the downtown area. What is the smallest number of floors?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 1.\n\nNow find the lowest leaf in the first row. The lowest leaf is 2.\n\nThe smallest number of floors has a stem of 1 and a leaf of 2. Write the stem first, then the leaf: 12.\n\nThe smallest number of floors is 12 floors.", "answer": "12", "table": "**Floors per building**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 2, 6 |\n| 2 | 4, 5 |\n| 3 | 8, 9 |\n| 4 | 1, 3 |\n| 5 | 5 |\n| 6 | 6 |\n| 7 | 5 |" } ] }, { "id": "12879", "image": "12879.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does the ski jumping event end?\n" }, { "from": "gpt", "solution": "Find the ski jumping event on the schedule. Find the end time for the ski jumping event.\n\nski jumping: 3:50 P. M.", "answer": "3:50 P.M.", "table": "**Winter Olympics schedule**\n\n| Event | Begin | End |\n| --- | --- | --- |\n| speed skating | 12:20 P.M. | 1:20 P.M. |\n| ski jumping | 12:40 P.M. | 3:50 P.M. |\n| bobsled | 3:30 P.M. | 6:25 P.M. |\n| cross-country skiing | 5:30 P.M. | 6:40 P.M. |\n| figure skating | 5:45 P.M. | 9:20 P.M. |" } ] }, { "id": "12882", "image": "12882.png", "conversations": [ { "from": "human", "question": "How much money does Eduardo need to buy a Clydesdale horse, a Hanoverian horse, and a Quarter horse?\n" }, { "from": "gpt", "solution": "Find the total cost of a Clydesdale horse, a Hanoverian horse, and a Quarter horse.\n\n$7,089 + $5,845 + $7,683 = $20,617\n\nEduardo needs $20,617.", "answer": "20,617", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| Hanoverian horse | $5,845 |\n| Andalusian horse | $3,401 |\n| Thoroughbred horse | $4,394 |\n| Palomino horse | $1,157 |\n| Quarter horse | $7,683 |\n| Clydesdale horse | $7,089 |" } ] }, { "id": "12885", "image": "12885.png", "conversations": [ { "from": "human", "question": "Andrew has $3.00. Does he have enough to buy a dog leash and a dog bowl?\n" }, { "from": "gpt", "solution": "Add the price of a dog leash and the price of a dog bowl:\n\n$2.00 + $1.00 = $3.00\n\nSince Andrew has $3.00, he has just enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| fish bowl | $8.00 |\n| dog leash | $2.00 |\n| dog bowl | $1.00 |\n| box of dog biscuits | $4.00 |" } ] }, { "id": "12886", "image": "12886.png", "conversations": [ { "from": "human", "question": "While planning a class party, the students voted for their favorite cookies. How many girls voted for chocolate chip cookies?\n" }, { "from": "gpt", "solution": "First, find the row for chocolate chip. Then find the number in the Girls column.\n\nThis number is 5. 5 girls voted for chocolate chip cookies.", "answer": "5", "table": "**Favorite cookies**\n\n| Cookie | Boys | Girls |\n| --- | --- | --- |\n| Lemon | 12 | 13 |\n| Sugar | 4 | 19 |\n| Chocolate chip | 8 | 5 |" } ] }, { "id": "12887", "image": "12887.png", "conversations": [ { "from": "human", "question": "A business analyst compared purchases of different types of cereal. Which cereal had the most boxes purchased?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 775.\n\nNow find the corresponding cereal. Krispee Bites corresponds to 775.", "answer": "Krispee Bites", "table": "**Boxes of cereal purchased**\n\n| Cereal | Number of boxes purchased |\n| --- | --- |\n| Oaty Yums | 753 |\n| Almond Crisp Crunch | 735 |\n| Krispee Bites | 775 |\n| Sugar Pops | 737 |" } ] }, { "id": "12889", "image": "12889.png", "conversations": [ { "from": "human", "question": "Wendy graphed the amount of snow that fell in the last 7 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n8, 6, 5, 8, 6, 5, 5\n\nFirst, arrange the numbers from least to greatest:\n\n5, 5, 5, 6, 6, 8, 8\n\nNow find the number in the middle.\n\n5, 5, 5, 6, 6, 8, 8\n\nThe number in the middle is 6.\n\nThe median is 6.", "answer": "6", "table": "**Daily snowfall**\n\n| Day | Snowfall (inches) |\n| --- | --- |\n| Friday | 8 |\n| Saturday | 6 |\n| Sunday | 5 |\n| Monday | 8 |\n| Tuesday | 6 |\n| Wednesday | 5 |\n| Thursday | 5 |" } ] }, { "id": "12897", "image": "12897.png", "conversations": [ { "from": "human", "question": "For an assignment, Donald looked at which countries got the most Nobel Prizes in various decades. Which country had fewer Nobel Prize winners in the 1990s, France or Canada?\n" }, { "from": "gpt", "solution": "Find the 1990 s column. Compare the numbers in this column for France and Canada.\n\n3 is less than 8. France had fewer Nobel Prize winners in the 1990 s.", "answer": "France", "table": "**Nobel Prize winners**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 1980s | 1990s |\n| Canada | 3 | 8 |\n| Japan | 2 | 1 |\n| France | 5 | 3 |\n| Italy | 3 | 1 |" } ] }, { "id": "12904", "image": "12904.png", "conversations": [ { "from": "human", "question": "The librarian at the public library counted the number of books on each shelf. What is the smallest number of books?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 1.\n\nNow find the lowest leaf in the first row. The lowest leaf is 8.\n\nThe smallest number of books has a stem of 1 and a leaf of 8. Write the stem first, then the leaf: 18.\n\nThe smallest number of books is 18 books.", "answer": "18", "table": "**Books per shelf**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 8 |\n| 2 | 1, 5, 6, 9 |\n| 3 | 9 |\n| 4 | |\n| 5 | 2, 7 |\n| 6 | 1, 2, 4, 6, 7, 9 |\n| 7 | 6 |\n| 8 | |\n| 9 | 0 |" } ] }, { "id": "12909", "image": "12909.png", "conversations": [ { "from": "human", "question": "Each locker has 5 basketballs. How many basketballs are in 5 lockers?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 25 basketballs in 5 lockers.", "answer": "25", "table": "| Number of lockers | Number of basketballs |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | 20 |\n| 5 | ? |" } ] }, { "id": "12913", "image": "12913.png", "conversations": [ { "from": "human", "question": "While hanging Christmas lights for neighbors, Steve counted the number of broken lights on each string. How many strings had at least 69 broken lights?\n" }, { "from": "gpt", "solution": "Find the row with stem 6. Count all the leaves greater than or equal to 9.\n\nCount all the leaves in the rows with stems 7, 8, and 9.\n\nYou counted 6 leaves, which are blue in the stem-and-leaf plots above. 6 strings had at least 69 broken lights.", "answer": "6", "table": "**Broken lights per string**\n\n| Stem | Leaf |\n| --- | --- |\n| 6 | 3, 4, 7 |\n| 7 | 2, 2 |\n| 8 | 1, 4, 6 |\n| 9 | 0 |" } ] }, { "id": "12914", "image": "12914.png", "conversations": [ { "from": "human", "question": "A game show program recorded the scores of its contestants. How many contestants scored more than 8?\n" }, { "from": "gpt", "solution": "Find the rows for 9 and 10. Add the frequencies for these rows.\n\nAdd:\n\n12 + 8 = 20\n\n20 contestants scored more than 8.", "answer": "20", "table": "**Scores on a quiz show**\n\n| Score | Frequency |\n| --- | --- |\n| 5 | 17 |\n| 6 | 14 |\n| 7 | 1 |\n| 8 | 4 |\n| 9 | 12 |\n| 10 | 8 |" } ] }, { "id": "12915", "image": "12915.png", "conversations": [ { "from": "human", "question": "Kenji went to the store and bought 3/4 of a kilogram of oval beads. How much did he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the oval beads. Multiply the price per kilogram by the number of kilograms.\n$3 × \\frac{3}{4} = $3 × 0.75 = $2.25\nHe spent $2.25.", "answer": "2.25", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| rectangular beads | $2/kilogram |\n| square beads | $2/kilogram |\n| oval beads | $3/kilogram |\n| star-shaped beads | $3/kilogram |" } ] }, { "id": "12916", "image": "12916.png", "conversations": [ { "from": "human", "question": "Jayce purchased 2 kilograms of Valencia oranges, 2 kilograms of tangerines, and 1 kilogram of pomelos. What was the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the Valencia oranges. Multiply:\n\n$1.38 × 2 = $2.76\n\nFind the cost of the tangerines. Multiply:\n\n$0.58 × 2 = $1.16\n\nFind the cost of the pomelos. Multiply:\n\n$2.05 × 1 = $2.05\n\nNow find the total cost by adding:\n\n$2.76 + $1.16 + $2.05 = $5.97\n\nThe total cost was $5.97.", "answer": "5.97", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| Persian oranges | $0.55 per kg |\n| navel oranges | $2.08 per kg |\n| tangerines | $0.58 per kg |\n| blood oranges | $1.88 per kg |\n| Valencia oranges | $1.38 per kg |\n| pomelos | $2.05 per kg |" } ] }, { "id": "12923", "image": "12923.png", "conversations": [ { "from": "human", "question": "The transportation company tracked the number of train tickets sold in the past 3 days. How many train tickets were sold in all on Monday and Tuesday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nMonday: 3,389\nTuesday: 2,473\n\nNow add: 3,389 + 2,473 = 5,862.\n\n5,862 train tickets were sold on Monday and Tuesday.", "answer": "5,862", "table": "**Train tickets sold**\n\n| Day | Number of tickets |\n| --- | --- |\n| Sunday | 5,535 |\n| Monday | 3,389 |\n| Tuesday | 2,473 |" } ] }, { "id": "12927", "image": "12927.png", "conversations": [ { "from": "human", "question": "Addison counted all the beads in each necklace at the jewelry store where she works. How many necklaces had at least 30 beads but fewer than 40 beads?\n" }, { "from": "gpt", "solution": "Count all the leaves in the row with stem 3.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 necklaces had at least 30 beads but fewer than 40 beads.", "answer": "4", "table": "**Beads per necklace**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 8 |\n| 2 | |\n| 3 | 0, 1, 3, 4 |\n| 4 | |\n| 5 | 7, 8 |\n| 6 | 7 |\n| 7 | 5 |" } ] }, { "id": "12938", "image": "12938.png", "conversations": [ { "from": "human", "question": "In a study on public parking, the director of transportation counted the number of cars in each of the city's parking lots. How many parking lots had fewer than 40 cars?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1, 2, and 3.\n\nYou counted 11 leaves, which are blue in the stem-and-leaf plot above. 11 parking lots had fewer than 40 cars.", "answer": "11", "table": "**Cars per parking lot**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 2, 2, 3, 7 |\n| 2 | 0, 0, 0, 6, 9 |\n| 3 | 1, 4 |\n| 4 | 4 |\n| 5 | 3, 3, 4 |\n| 6 | |\n| 7 | 2, 4, 4, 4 |\n| 8 | 1, 1, 5, 7 |" } ] }, { "id": "12941", "image": "12941.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{9 - 16}{18 - 17}\n = \\frac{-7}{1}\n = -7\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{2 - 16}{19 - 17}\n = \\frac{-14}{2}\n = -7\nThe two rates of change are the same.\n7.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 17 | 16 |\n| 18 | 9 |\n| 19 | 2 |" } ] }, { "id": "12961", "image": "12961.png", "conversations": [ { "from": "human", "question": "How much more does a pink and white striped shell cost than a polished silver top shell?\n" }, { "from": "gpt", "solution": "Subtract the price of a polished silver top shell from the price of a pink and white striped shell.\n\n$0.79 - $0.29 = $0.50\n\nA pink and white striped shell costs $0.50 more than a polished silver top shell.", "answer": "0.50", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| oyster shell | $0.31 |\n| whole sand dollar | $0.57 |\n| pink and white striped shell | $0.79 |\n| polished silver top shell | $0.29 |" } ] }, { "id": "12975", "image": "12975.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. How long does it take to get from the skyscraper to the zoo?\n" }, { "from": "gpt", "solution": "Read the times in the first column for the skyscraper and the zoo.\n\nFind the elapsed time between 11:00 A. M. and 11:45 A. M. The elapsed time is 45 minutes.\n\nNo matter which column of times you look at, the elapsed time is always 45 minutes.", "answer": "45 minutes", "table": "**Tour bus schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 | Column 5 | Column 6 |\n| --- | --- | --- | --- | --- | --- |\n| the aquarium | 9:30 A.M. | 9:45 A.M. | 10:00 A.M. | 10:15 A.M. | 11:00 A.M. |\n| historic house | 10:30 A.M. | 10:45 A.M. | 11:00 A.M. | 11:15 A.M. | 12:00 P.M. |\n| skyscraper | 11:00 A.M. | 11:15 A.M. | 11:30 A.M. | 11:45 A.M. | 12:30 P.M. |\n| the zoo | 11:45 A.M. | 12:00 P.M. | 12:15 P.M. | 12:30 P.M. | 1:15 P.M. |\n| landmark sculpture | 12:45 P.M. | 1:00 P.M. | 1:15 P.M. | 1:30 P.M. | 2:15 P.M. |\n| downtown | 1:45 P.M. | 2:00 P.M. | 2:15 P.M. | 2:30 P.M. | 3:15 P.M. |" } ] }, { "id": "12977", "image": "12977.png", "conversations": [ { "from": "human", "question": "The soccer coach is preparing for the upcoming season by seeing how many goals his team members scored last season. How many team members scored exactly 2 goals last season?\n" }, { "from": "gpt", "solution": "Find the row for 2 goals last season and read the frequency. The frequency is 16.\n\n16 team members scored exactly2 goals last season.", "answer": "16", "table": "**Soccer goals last season**\n\n| Goals scored | Frequency |\n| --- | --- |\n| 0 | 5 |\n| 1 | 7 |\n| 2 | 16 |\n| 3 | 3 |\n| 4 | 17 |\n| 5 | 14 |\n| 6 | 1 |" } ] }, { "id": "12979", "image": "12979.png", "conversations": [ { "from": "human", "question": "How much money does Layla need to buy a coloring book and a book of crossword puzzles?\n" }, { "from": "gpt", "solution": "Add the price of a coloring book and the price of a book of crossword puzzles:\n\n$4 + $5 = $9\n\nLayla needs $9.", "answer": "9", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| book of crossword puzzles | $5 |\n| map of the United States | $2 |\n| map of the world | $7 |\n| book of brainteasers | $5 |\n| airplane calendar | $6 |\n| coloring book | $4 |" } ] }, { "id": "12983", "image": "12983.png", "conversations": [ { "from": "human", "question": "Some friends played a trivia game and recorded their scores. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n1, 5, 1, 2, 4\n\nFirst, find the greatest number. The greatest number is 5.\n\nNext, find the least number. The least number is 1.\n\nSubtract the least number from the greatest number:\n\n5 − 1 = 4\n\nThe range is 4.", "answer": "4", "table": "**Trivia game scores**\n\n| Name | Score |\n| --- | --- |\n| Gabrielle | 1 |\n| Vivian | 5 |\n| Will | 1 |\n| Johnny | 2 |\n| Zach | 4 |" } ] }, { "id": "12987", "image": "12987.png", "conversations": [ { "from": "human", "question": "The members of the swimming team compared how many laps they swam yesterday. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n19, 14, 20, 18, 17, 14\n\nFirst, count how many numbers are in the group.\n\nThere are 6 numbers.\n\nNow add all the numbers together:\n\n19 + 14 + 20 + 18 + 17 + 14 = 102\n\nNow divide the sum by the number of numbers:\n\n102 ÷ 6 = 17\n\nThe mean is 17.", "answer": "17", "table": "**Swimming laps**\n\n| Name | Laps |\n| --- | --- |\n| Debbie | 19 |\n| Jane | 14 |\n| Tammy | 20 |\n| Alice | 18 |\n| Rick | 17 |\n| Kira | 14 |" } ] }, { "id": "12988", "image": "12988.png", "conversations": [ { "from": "human", "question": "Logan recalled how many minutes he had spent at theater rehearsal in the past 4 days. On which day did Logan rehearse the most?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 172.\n\nNow find the corresponding day. Thursday corresponds to 172.", "answer": "Thursday", "table": "**Minutes spent rehearsing**\n\n| Day | Minutes |\n| --- | --- |\n| Thursday | 172 |\n| Friday | 127 |\n| Saturday | 117 |\n| Sunday | 122 |" } ] }, { "id": "13009", "image": "13009.png", "conversations": [ { "from": "human", "question": "A game show viewer monitors how often a wheel numbered 1 through 5 stops at each number. How many people spun a number greater than 3?\n" }, { "from": "gpt", "solution": "Find the rows for 4 and 5. Add the frequencies for these rows.\n\nAdd:\n\n0 + 20 = 20\n\n20 people spun a number greater than 3.", "answer": "20", "table": "**Spinning a wheel numbered 1 through 5**\n\n| Number spun | Frequency |\n| --- | --- |\n| 1 | 17 |\n| 2 | 12 |\n| 3 | 10 |\n| 4 | 0 |\n| 5 | 20 |" } ] }, { "id": "13014", "image": "13014.png", "conversations": [ { "from": "human", "question": "The parks department compared how many soccer fields there are at each park. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 6, 9, 9, 10\n\nFirst, arrange the numbers from least to greatest:\n\n6, 6, 9, 9, 10\n\nNow find the number in the middle.\n\n6, 6, 9, 9, 10\n\nThe number in the middle is 9.\n\nThe median is 9.", "answer": "9", "table": "**Soccer fields**\n\n| Park | Number of soccer fields |\n| --- | --- |\n| Moon Park | 6 |\n| Canyon Park | 6 |\n| Elmhurst Park | 9 |\n| Juniper Park | 9 |\n| Windy Hill Park | 10 |" } ] }, { "id": "13030", "image": "13030.png", "conversations": [ { "from": "human", "question": "Ellen paid attention to how many flowers she planted in the garden during the past 4 days. On which day did Ellen plant the most flowers?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 37.\n\nNow find the corresponding day. Thursday corresponds to 37.", "answer": "Thursday", "table": "**Flowers plants**\n\n| Day | Number of flowers |\n| --- | --- |\n| Wednesday | 34 |\n| Thursday | 37 |\n| Friday | 31 |\n| Saturday | 36 |" } ] }, { "id": "13040", "image": "13040.png", "conversations": [ { "from": "human", "question": "Charlotte buys 1+7/10 pounds of rotini pasta. What is the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the rotini pasta. Multiply the price per pound by the number of pounds.\n$4 × 1\\frac{7}{10} = $4 × 1.7 = $6.80\nThe total cost is $6.80.", "answer": "6.80", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| farfalle pasta | $7/lb |\n| rotini pasta | $4/lb |\n| spirali pasta | $3/lb |\n| penne pasta | $3/lb |\n| rigatoni pasta | $6/lb |" } ] }, { "id": "13042", "image": "13042.png", "conversations": [ { "from": "human", "question": "Leon buys 1/4 of a kilogram of romaine lettuce. What is the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the romaine lettuce. Multiply the price per kilogram by the number of kilograms.\n$1 × \\frac{1}{4} = $1 × 0.25 = $0.25\nThe total cost is $0.25.", "answer": "0.25", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| Chinese lettuce | $2 per kg |\n| Swiss chard | $2 per kg |\n| romaine lettuce | $1 per kg |\n| kale | $2 per kg |\n| butterhead lettuce | $1 per kg |" } ] }, { "id": "13061", "image": "13061.png", "conversations": [ { "from": "human", "question": "A pair of Clark High School hockey fans counted the number of games won by the school each year. According to the table, what was the rate of change between 2015 and 2016?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{13 games - 7 games}{2016 - 2015}\n = \\frac{13 games - 7 games}{1 year}\n = \\frac{6 games}{1 year}\n = 6 games per year\nThe rate of change between 2015 and 2016 was 6 games per year.", "answer": "6", "table": "**Hockey games won by Clark High**\n\n| Year | Games won |\n| --- | --- |\n| 2013 | 8 |\n| 2014 | 11 |\n| 2015 | 7 |\n| 2016 | 13 |\n| 2017 | 11 |" } ] }, { "id": "13062", "image": "13062.png", "conversations": [ { "from": "human", "question": "During Fitness Day at school, Destiny and her classmates took part in a pull-up competition, keeping track of the results. How many people did at least 30 pull-ups but fewer than 70 pull-ups?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 3, 4, 5, and 6.\n\nYou counted 7 leaves, which are blue in the stem-and-leaf plot above. 7 people did at least 30 pull-ups but fewer than 70 pull-ups.", "answer": "7", "table": "**Pull-up competition (number of pull-ups)**\n\n| Stem | Leaf |\n| --- | --- |\n| 0 | 0, 6 |\n| 1 | |\n| 2 | 2 |\n| 3 | 7 |\n| 4 | 3, 4, 5, 7 |\n| 5 | 0 |\n| 6 | 9 |\n| 7 | 7 |" } ] }, { "id": "13065", "image": "13065.png", "conversations": [ { "from": "human", "question": "Some pizza restaurants compared their pizza sales. Which restaurant sold the most pizza slices?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 886.\n\nNow find the corresponding restaurant. Pizzas Only corresponds to 886.", "answer": "Pizzas Only", "table": "**Pizza slices sold**\n\n| Restaurant | Number of slices sold |\n| --- | --- |\n| Pizzas Only | 886 |\n| The Real Chicago | 858 |\n| New York Slice | 856 |\n| Deep Dish by Dan | 865 |" } ] }, { "id": "13074", "image": "13074.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $340, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $340, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $180 | 19,800 | 1,100 |\n| $260 | 18,000 | 5,800 |\n| $340 | 16,200 | 10,500 |\n| $420 | 14,400 | 15,200 |\n| $500 | 12,600 | 19,900 |" } ] }, { "id": "13077", "image": "13077.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{1 - 2}{17 - 16}\n = \\frac{-1}{1}\n = -1\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{0 - 1}{18 - 17}\n = \\frac{-1}{1}\n = -1\nThe two rates of change are the same.\n1.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 16 | 2 |\n| 17 | 1 |\n| 18 | 0 |" } ] }, { "id": "13079", "image": "13079.png", "conversations": [ { "from": "human", "question": "How much more does a pair of brown pants cost than a gray sweatshirt?\n" }, { "from": "gpt", "solution": "Subtract the price of a gray sweatshirt from the price of a pair of brown pants.\n\n$20.00 - $11.00 = $9.00\n\nA pair of brown pants costs $9.00 more than a gray sweatshirt.", "answer": "9", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| winter jacket | $53.00 |\n| yellow skirt | $11.00 |\n| pair of brown pants | $20.00 |\n| gray sweatshirt | $11.00 |" } ] }, { "id": "13080", "image": "13080.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $595, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $595, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $85 | 12,500 | 14,800 |\n| $255 | 12,300 | 16,000 |\n| $425 | 12,100 | 17,200 |\n| $595 | 11,900 | 18,400 |\n| $765 | 11,700 | 19,600 |" } ] }, { "id": "13083", "image": "13083.png", "conversations": [ { "from": "human", "question": "A reporter looked through his notebook to remember how many people he had interviewed in the past 4 days. On which day did the reporter interview the fewest people?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 12.\n\nNow find the corresponding day. Thursday corresponds to 12.", "answer": "Thursday", "table": "**People interviewed**\n\n| Day | Number of people |\n| --- | --- |\n| Thursday | 12 |\n| Friday | 19 |\n| Saturday | 16 |\n| Sunday | 18 |" } ] }, { "id": "13087", "image": "13087.png", "conversations": [ { "from": "human", "question": "Desmond's campground is close to two hiking trails with scenic destinations. One trail ends at an underground lake in the bottom of a small cave. The other trail ends at a mountain peak. The elevation of each destination is shown on the campground map. Which trail's destination is farther from sea level?\n" }, { "from": "gpt", "solution": "The underground lake's elevation is negative, so it is below sea level. The mountain peak's elevation is positive, so it is above sea level.\nTo find the destination farther from sea level, use absolute value. Absolute value tells you how far each destination is from sea level.\nUnderground lake: |-350| = 350\nMountain peak: |325| = 325\nThe underground lake is 350 feet below sea level, and the mountain peak is only 325 feet above sea level. The underground lake is farther from sea level.", "answer": "underground lake", "table": "| Destination | Elevation (ft.) |\n| --- | --- |\n| Underground lake | -350 |\n| Mountain peak | 325 |" } ] }, { "id": "13092", "image": "13092.png", "conversations": [ { "from": "human", "question": "A technical support line tracked how many calls it received each day. On which day did the support line receive the fewest calls?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 872.\n\nNow find the corresponding day. Tuesday corresponds to 872.", "answer": "Tuesday", "table": "**Phone calls received**\n\n| Day | Number of calls |\n| --- | --- |\n| Monday | 889 |\n| Tuesday | 872 |\n| Wednesday | 897 |\n| Thursday | 879 |" } ] }, { "id": "13096", "image": "13096.png", "conversations": [ { "from": "human", "question": "Some teachers compared how many years they have been teaching. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 6, 6, 5, 4, 6, 2, 6\n\nFirst, find the greatest number. The greatest number is 7.\n\nNext, find the least number. The least number is 2.\n\nSubtract the least number from the greatest number:\n\n7 − 2 = 5\n\nThe range is 5.", "answer": "5", "table": "**Years of teaching**\n\n| Teacher | Number of years |\n| --- | --- |\n| Miss Lim | 7 |\n| Mr. Boone | 6 |\n| Mr. Nakamura | 6 |\n| Mr. Perez | 5 |\n| Mrs. Ramirez | 4 |\n| Miss Torres | 6 |\n| Mr. Gutierrez | 2 |\n| Miss Watson | 6 |" } ] }, { "id": "13103", "image": "13103.png", "conversations": [ { "from": "human", "question": "How much money does Jamal need to buy a soccer ticket and a basketball ticket?\n" }, { "from": "gpt", "solution": "Add the price of a soccer ticket and the price of a basketball ticket:\n\n$92.47 + $16.86 = $109.33\n\nJamal needs $109.33.", "answer": "109.33", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| tennis ticket | $91.60 |\n| baseball ticket | $73.23 |\n| soccer ticket | $92.47 |\n| basketball ticket | $16.86 |" } ] }, { "id": "13114", "image": "13114.png", "conversations": [ { "from": "human", "question": "A plant nursery in Greenville keeps records of how many of its plants are annuals, biennials, and perennials. What fraction of the plants are biennials? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many plants are biennials.\n\n63\n\nFind how many plants the nursery has in total.\n\n57 + 66 + 63 = 186\n\nDivide 63 by186.\n\n\\frac{63}{186}\n\nReduce the fraction.\n\n\\frac{63}{186} → \\frac{21}{62}\n\n\\frac{21}{62} of plants are biennials.", "answer": "21/62", "table": "**Distribution of plant types**\n\n| Type | Number of plants |\n| --- | --- |\n| Annuals | 57 |\n| Perennials | 66 |\n| Biennials | 63 |" } ] }, { "id": "13122", "image": "13122.png", "conversations": [ { "from": "human", "question": "Isabella has $154.00. Does she have enough to buy a baseball ticket and a football ticket?\n" }, { "from": "gpt", "solution": "Add the price of a baseball ticket and the price of a football ticket:\n\n$97.46 + $59.17 = $156.63\n\n$156.63 is more than $154.00. Isabella does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| soccer ticket | $51.67 |\n| tennis ticket | $76.70 |\n| football ticket | $59.17 |\n| basketball ticket | $51.97 |\n| baseball ticket | $97.46 |" } ] }, { "id": "13127", "image": "13127.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does Pirates in Pirate Ships end?\n" }, { "from": "gpt", "solution": "Find Pirates in Pirate Ships on the schedule. Find the end time for Pirates in Pirate Ships.\n\nPirates in Pirate Ships: 4:55 P. M.", "answer": "4:55 P.M.", "table": "**Movie schedule**\n\n| Movie | Begin | End |\n| --- | --- | --- |\n| Wildlife in the Wild: Elephants | 7:20 A.M. | 10:20 A.M. |\n| The Wizard in the Cereal Box | 9:25 A.M. | 10:25 A.M. |\n| Two People Happy Together | 9:45 A.M. | 12:00 P.M. |\n| Big Action Movie III | 11:10 A.M. | 1:55 P.M. |\n| Kung Fu Madness | 1:00 P.M. | 3:55 P.M. |\n| Pirates in Pirate Ships | 3:20 P.M. | 4:55 P.M. |" } ] }, { "id": "13145", "image": "13145.png", "conversations": [ { "from": "human", "question": "Marvin went on a camping trip and logged the number of miles he hiked each day. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n3, 3, 5, 3, 6, 9, 3\n\nFirst, arrange the numbers from least to greatest:\n\n3, 3, 3, 3, 5, 6, 9\n\nNow find the number in the middle.\n\n3, 3, 3, 3, 5, 6, 9\n\nThe number in the middle is 3.\n\nThe median is 3.", "answer": "3", "table": "**Miles hiked**\n\n| Day | Number of miles |\n| --- | --- |\n| Monday | 3 |\n| Tuesday | 3 |\n| Wednesday | 5 |\n| Thursday | 3 |\n| Friday | 6 |\n| Saturday | 9 |\n| Sunday | 3 |" } ] }, { "id": "13148", "image": "13148.png", "conversations": [ { "from": "human", "question": "The local high school found out how many members each club had. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n71, 81, 50, 75, 83, 63, 57, 64\n\nFirst, count how many numbers are in the group.\n\nThere are 8 numbers.\n\nNow add all the numbers together:\n\n71 + 81 + 50 + 75 + 83 + 63 + 57 + 64 = 544\n\nNow divide the sum by the number of numbers:\n\n544 ÷ 8 = 68\n\nThe mean is 68.", "answer": "68", "table": "**Club membership**\n\n| Club | Number of members |\n| --- | --- |\n| film club | 71 |\n| Japanese club | 81 |\n| Spanish club | 50 |\n| geology club | 75 |\n| history club | 83 |\n| math club | 63 |\n| physics club | 57 |\n| drama club | 64 |" } ] }, { "id": "13151", "image": "13151.png", "conversations": [ { "from": "human", "question": "The Kelley Skating Rink counted the number of times people went ice skating last winter to see what types of discount passes it should offer this season. How many people are there in all?\n" }, { "from": "gpt", "solution": "Add the frequencies for each row.\n\nAdd:\n\n3 + 5 + 16 + 0 + 4 + 7 = 35\n\nThere are 35 people in all.", "answer": "35", "table": "**Ice skating last winter**\n\n| Number of times | Frequency |\n| --- | --- |\n| 1 | 3 |\n| 2 | 5 |\n| 3 | 16 |\n| 4 | 0 |\n| 5 | 4 |\n| 6 | 7 |" } ] }, { "id": "13155", "image": "13155.png", "conversations": [ { "from": "human", "question": "Mr. Ortega, a track coach, recorded the sizes of all the nearby track teams. How many teams have at least 30 members?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 3, 4, 5, 6, and 7.\n\nYou counted 14 leaves, which are blue in the stem-and-leaf plot above. 14 teams have at least 30 members.", "answer": "14", "table": "**Track team sizes (number of members)**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 0, 0, 0, 8 |\n| 4 | 3 |\n| 5 | |\n| 6 | 4, 4, 6, 6, 8, 9 |\n| 7 | 4, 7, 7 |" } ] }, { "id": "13156", "image": "13156.png", "conversations": [ { "from": "human", "question": "Some farmers compared how many tractors they own. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n15, 8, 19, 12, 15, 15, 8\n\nFirst, arrange the numbers from least to greatest:\n\n8, 8, 12, 15, 15, 15, 19\n\nNow find the number in the middle.\n\n8, 8, 12, 15, 15, 15, 19\n\nThe number in the middle is 15.\n\nThe median is 15.", "answer": "15", "table": "**Tractors**\n\n| Farmer | Number of tractors |\n| --- | --- |\n| Farmer Andy | 15 |\n| Farmer Joe | 8 |\n| Farmer Susie | 19 |\n| Farmer Walt | 12 |\n| Farmer Rick | 15 |\n| Farmer Tom | 15 |\n| Farmer Jane | 8 |" } ] }, { "id": "13167", "image": "13167.png", "conversations": [ { "from": "human", "question": "The school district compared how many swings each elementary school has. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n2, 8, 2, 6, 5, 7\n\nFirst, count how many numbers are in the group.\n\nThere are 6 numbers.\n\nNow add all the numbers together:\n\n2 + 8 + 2 + 6 + 5 + 7 = 30\n\nNow divide the sum by the number of numbers:\n\n30 ÷ 6 = 5\n\nThe mean is 5.", "answer": "5", "table": "**Swings**\n\n| School | Number of swings |\n| --- | --- |\n| Hillside Elementary | 2 |\n| Roseville Elementary | 8 |\n| Canyon Elementary | 2 |\n| Valley Elementary | 6 |\n| Boyd Elementary | 5 |\n| Newberry Elementary | 7 |" } ] }, { "id": "13192", "image": "13192.png", "conversations": [ { "from": "human", "question": "Kamal wrote down how many glasses of water he drank during the past 6 days. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n8, 2, 10, 8, 8, 6\n\nFirst, count how many numbers are in the group.\n\nThere are 6 numbers.\n\nNow add all the numbers together:\n\n8 + 2 + 10 + 8 + 8 + 6 = 42\n\nNow divide the sum by the number of numbers:\n\n42 ÷ 6 = 7\n\nThe mean is 7.", "answer": "7", "table": "**Glasses of water**\n\n| Day | Number of glasses |\n| --- | --- |\n| Thursday | 8 |\n| Friday | 2 |\n| Saturday | 10 |\n| Sunday | 8 |\n| Monday | 8 |\n| Tuesday | 6 |" } ] }, { "id": "13193", "image": "13193.png", "conversations": [ { "from": "human", "question": "How much money does Cody need to buy 3 flutes and 4 clarinets?\n" }, { "from": "gpt", "solution": "Find the cost of 3 flutes.\n\n$1,787 × 3 = $5,361\n\nFind the cost of 4 clarinets.\n\n$1,028 × 4 = $4,112\n\nNow find the total cost.\n\n$5,361 + $4,112 = $9,473\n\nCody needs $9,473.", "answer": "9,473", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| clarinet | $1,028 |\n| piano | $3,394 |\n| flute | $1,787 |\n| saxophone | $2,398 |\n| French horn | $2,483 |" } ] }, { "id": "13195", "image": "13195.png", "conversations": [ { "from": "human", "question": "How much money does Brianna need to buy a yellow highlighter and an ink pad?\n" }, { "from": "gpt", "solution": "Add the price of a yellow highlighter and the price of an ink pad:\n\n$2.31 + $3.92 = $6.23\n\nBrianna needs $6.23.", "answer": "6.23", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| package of note cards | $1.06 |\n| box of crayons | $2.92 |\n| yellow highlighter | $2.31 |\n| ink pad | $3.92 |\n| box of envelopes | $1.69 |" } ] }, { "id": "13196", "image": "13196.png", "conversations": [ { "from": "human", "question": "The members of the track team compared how many miles they ran last week. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n4, 10, 3, 4, 3, 6\n\nFirst, count how many numbers are in the group.\n\nThere are 6 numbers.\n\nNow add all the numbers together:\n\n4 + 10 + 3 + 4 + 3 + 6 = 30\n\nNow divide the sum by the number of numbers:\n\n30 ÷ 6 = 5\n\nThe mean is 5.", "answer": "5", "table": "**Running miles**\n\n| Name | Miles |\n| --- | --- |\n| Ruben | 4 |\n| Pam | 10 |\n| Adriana | 3 |\n| Deion | 4 |\n| Jaylen | 3 |\n| Hazel | 6 |" } ] }, { "id": "13201", "image": "13201.png", "conversations": [ { "from": "human", "question": "Tina counted the number of pieces of pepperoni on each pizza she made. What is the largest number of pieces of pepperoni?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 4.\n\nNow find the highest leaf in the last row. The highest leaf is 9.\n\nThe largest number of pieces of pepperoni has a stem of 4 and a leaf of 9. Write the stem first, then the leaf: 49.\n\nThe largest number of pieces of pepperoni is 49 pieces of pepperoni.", "answer": "49", "table": "**Pieces of pepperoni per pizza**\n\n| Stem | Leaf |\n| --- | --- |\n| 0 | 9 |\n| 1 | 3, 5 |\n| 2 | 1, 1, 3, 8 |\n| 3 | 8 |\n| 4 | 9 |" } ] }, { "id": "13205", "image": "13205.png", "conversations": [ { "from": "human", "question": "Cody went on a bird watching trip and jotted down the number of birds he saw each day. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n2, 10, 5, 7, 3, 9, 6\n\nFirst, count how many numbers are in the group.\n\nThere are 7 numbers.\n\nNow add all the numbers together:\n\n2 + 10 + 5 + 7 + 3 + 9 + 6 = 42\n\nNow divide the sum by the number of numbers:\n\n42 ÷ 7 = 6\n\nThe mean is 6.", "answer": "6", "table": "**Number of birds**\n\n| Day | Number of birds |\n| --- | --- |\n| Friday | 2 |\n| Saturday | 10 |\n| Sunday | 5 |\n| Monday | 7 |\n| Tuesday | 3 |\n| Wednesday | 9 |\n| Thursday | 6 |" } ] }, { "id": "13219", "image": "13219.png", "conversations": [ { "from": "human", "question": "In hopes of raising more funds for arts education, some parents in the Stamford School District publicized the current per-student arts education budget. According to the table, what was the rate of change between 2009 and 2010?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{$46 - $46}{2010 - 2009}\n = \\frac{$46 - $46}{1 year}\n = \\frac{$0}{1 year}\n = $0 per year\nThe rate of change between 2009 and 2010 was $0 per year.", "answer": "0", "table": "**Stamford arts education budget**\n\n| Year | Per-student budget |\n| --- | --- |\n| 2009 | $46 |\n| 2010 | $46 |\n| 2011 | $46 |\n| 2012 | $45 |\n| 2013 | $42 |" } ] }, { "id": "13221", "image": "13221.png", "conversations": [ { "from": "human", "question": "How much more does a wheelbarrow cost than a measuring tape?\n" }, { "from": "gpt", "solution": "Subtract the price of a measuring tape from the price of a wheelbarrow.\n\n$74.25 - $13.23 = $61.02\n\nA wheelbarrow costs $61.02 more than a measuring tape.", "answer": "61.02", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| lawn mower | $53.40 |\n| hammer | $22.73 |\n| wheelbarrow | $74.25 |\n| measuring tape | $13.23 |\n| shovel | $19.48 |\n| can of paint | $14.72 |" } ] }, { "id": "13230", "image": "13230.png", "conversations": [ { "from": "human", "question": "Ms. Johnston reported her students' scores on the most recent quiz. How many students scored exactly 18 points?\n" }, { "from": "gpt", "solution": "For the number 18, the stem is 1, and the leaf is 8. Find the row where the stem is 1. In that row, count all the leaves equal to 8.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 students scored exactly18 points.", "answer": "3", "table": "**Quiz scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 3, 8, 8, 8 |\n| 2 | 5, 5, 8 |\n| 3 | 1, 1, 6, 9 |\n| 4 | 0, 1, 7, 9 |" } ] }, { "id": "13237", "image": "13237.png", "conversations": [ { "from": "human", "question": "Keith went to the store. He bought 4+9/10 kilograms of banana chips. How much did he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the banana chips. Multiply the price per kilogram by the number of kilograms.\n$2 × 4\\frac{9}{10} = $2 × 4.9 = $9.80\nHe spent $9.80.", "answer": "9.80", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| dried pineapple | $3/kilogram |\n| dried mango | $1/kilogram |\n| dried pear | $3/kilogram |\n| banana chips | $2/kilogram |" } ] }, { "id": "13240", "image": "13240.png", "conversations": [ { "from": "human", "question": "Principal Blackburn reported the state test scores from some students at her school. How many students scored fewer than 62 points?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1, 2, 3, 4, and 5.\n\nIn the row with stem 6, count all the leaves less than 2.\n\nYou counted 7 leaves, which are blue in the stem-and-leaf plots above. 7 students scored fewer than 62 points.", "answer": "7", "table": "**Test scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 7, 8 |\n| 2 | 2 |\n| 3 | 2, 4 |\n| 4 | 9 |\n| 5 | 0 |\n| 6 | 9 |\n| 7 | 8 |\n| 8 | 0 |\n| 9 | 0, 0 |" } ] }, { "id": "13242", "image": "13242.png", "conversations": [ { "from": "human", "question": "A crayon factory monitored the number of broken crayons per box during the past day. How many boxes had at least 54 broken crayons?\n" }, { "from": "gpt", "solution": "Find the row with stem 5. Count all the leaves greater than or equal to 4.\n\nCount all the leaves in the rows with stems 6, 7, and 8.\n\nYou counted 14 leaves, which are blue in the stem-and-leaf plots above. 14 boxes had at least 54 broken crayons.", "answer": "14", "table": "**Broken crayons per box**\n\n| Stem | Leaf |\n| --- | --- |\n| 5 | 1, 3, 5, 7, 7, 8 |\n| 6 | 0, 4, 6, 7 |\n| 7 | 1, 4 |\n| 8 | 0, 4, 5, 5 |" } ] }, { "id": "13244", "image": "13244.png", "conversations": [ { "from": "human", "question": "How much money does Ezra need to buy 9 elastic bands?\n" }, { "from": "gpt", "solution": "Find the total cost of 9 elastic bands by multiplying 9 times the price of an elastic band.\n\n$0.37 × 9 = $3.33\n\nEzra needs $3.33.", "answer": "3.33", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| elastic band | $0.37 |\n| ball of twine | $0.63 |\n| small metal hook | $0.98 |\n| red thumbtack | $0.15 |\n| spool of gold wire | $0.34 |\n| four-inch nail | $0.24 |" } ] }, { "id": "13253", "image": "13253.png", "conversations": [ { "from": "human", "question": "How much more does an energy-saving desktop cost than a wide-screen desktop?\n" }, { "from": "gpt", "solution": "Subtract the price of a wide-screen desktop from the price of an energy-saving desktop.\n\n$9,977.00 - $8,873.00 = $1,104.00\n\nAn energy-saving desktop costs $1,104.00 more than a wide-screen desktop.", "answer": "1,104", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| energy-saving desktop | $9,977.00 |\n| wide-screen desktop | $8,873.00 |\n| wide-screen laptop | $3,017.00 |\n| bright blue laptop | $5,387.00 |\n| high-tech desktop | $4,647.00 |" } ] }, { "id": "13263", "image": "13263.png", "conversations": [ { "from": "human", "question": "The city library monitored the number of books checked out each day. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n97, 84, 87, 98, 97\n\nFirst, find the greatest number. The greatest number is 98.\n\nNext, find the least number. The least number is 84.\n\nSubtract the least number from the greatest number:\n\n98 − 84 = 14\n\nThe range is 14.", "answer": "14", "table": "**Books checked out**\n\n| Day | Number of books |\n| --- | --- |\n| Wednesday | 97 |\n| Thursday | 84 |\n| Friday | 87 |\n| Saturday | 98 |\n| Sunday | 97 |" } ] }, { "id": "13268", "image": "13268.png", "conversations": [ { "from": "human", "question": "At their family reunion, the Bowman family recorded everyone's age. How many people are at least 50 years old but less than 80 years old?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 5, 6, and 7.\n\nYou counted 13 leaves, which are blue in the stem-and-leaf plot above. 13 people are at least 50 years old but less than 80 years old.", "answer": "13", "table": "**Ages**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 0, 2, 4, 4, 4, 7, 8 |\n| 5 | 2, 2, 5, 7 |\n| 6 | 0, 0, 0, 1, 3, 3, 5 |\n| 7 | 3, 4 |" } ] }, { "id": "13270", "image": "13270.png", "conversations": [ { "from": "human", "question": "How much money does Ling need to buy a designer coat and a pair of designer boots?\n" }, { "from": "gpt", "solution": "Add the price of a designer coat and the price of a pair of designer boots:\n\n$769 + $390 = $1,159\n\nLing needs $1,159.", "answer": "1,159", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pair of designer shoes | $884 |\n| designer scarf | $342 |\n| designer skirt | $104 |\n| pair of designer boots | $390 |\n| designer handbag | $885 |\n| designer coat | $769 |" } ] }, { "id": "13274", "image": "13274.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Bernie got on the train at Poplar Boulevard at 12.45 P.M. What time will he get to Church Street?\n" }, { "from": "gpt", "solution": "Find 12:45 P. M. in the row for Poplar Boulevard. That column shows the schedule for the train that Bernie is on.\n\nLook down the column until you find the row for Church Street.\n\nBernie will get to Church Street at 1:45 P. M.", "answer": "1:45 P.M.", "table": "**Subway train schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 |\n| --- | --- | --- | --- |\n| Washington Street | 9:45 A.M. | 10:30 A.M. | 11:00 A.M. |\n| Spruce Road | 10:00 A.M. | 10:45 A.M. | 11:15 A.M. |\n| Main Boulevard | 10:30 A.M. | 11:15 A.M. | 11:45 A.M. |\n| Ridge Road | 10:45 A.M. | 11:30 A.M. | 12:00 P.M. |\n| Sunset Road | 11:30 A.M. | 12:15 P.M. | 12:45 P.M. |\n| Center Boulevard | 11:45 A.M. | 12:30 P.M. | 1:00 P.M. |\n| Poplar Boulevard | 12:45 P.M. | 1:30 P.M. | 2:00 P.M. |\n| Church Street | 1:45 P.M. | 2:30 P.M. | 3:00 P.M. |" } ] }, { "id": "13275", "image": "13275.png", "conversations": [ { "from": "human", "question": "Roy, who rents properties for a living, measures all the offices in a building he is renting. How many offices are at least 53 square meters but less than 69 square meters?\n" }, { "from": "gpt", "solution": "Find the row with stem 5. Count all the leaves greater than or equal to 3.\n\nIn the row with stem 6, count all the leaves less than 9.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plots above. 3 offices are at least 53 square meters but less than 69 square meters.", "answer": "3", "table": "**Office sizes (square meters)**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 0, 8, 8 |\n| 5 | 4 |\n| 6 | 4, 4 |\n| 7 | 0, 0, 2, 2, 6 |" } ] }, { "id": "13278", "image": "13278.png", "conversations": [ { "from": "human", "question": "During health class, the students reported the number of times they ate fast food last month. How many students ate fast food more than 2 times?\n" }, { "from": "gpt", "solution": "Find the rows for 3 and 4 times. Add the frequencies for these rows.\n\nAdd:\n\n3 + 2 = 5\n\n5 students ate fast food more than 2 times.", "answer": "5", "table": "**Eating fast food last month**\n\n| Times eaten | Frequency |\n| --- | --- |\n| 0 | 18 |\n| 1 | 8 |\n| 2 | 12 |\n| 3 | 3 |\n| 4 | 2 |" } ] }, { "id": "13279", "image": "13279.png", "conversations": [ { "from": "human", "question": "A machine at the candy factory dispensed different numbers of lemon-flavored candies into various bags. What is the largest number of lemon-flavored candies?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 9.\n\nNow find the highest leaf in the last row. The highest leaf is 0.\n\nThe largest number of lemon-flavored candies has a stem of 9 and a leaf of 0. Write the stem first, then the leaf: 90.\n\nThe largest number of lemon-flavored candies is 90 lemon-flavored candies.", "answer": "90", "table": "**Lemon-flavored candies per bag**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1, 3, 3, 8, 9 |\n| 2 | 5, 8 |\n| 3 | 0, 5 |\n| 4 | 2, 4, 8, 9, 9 |\n| 5 | 6, 9 |\n| 6 | 3, 3 |\n| 7 | 5, 5, 7 |\n| 8 | 2 |\n| 9 | 0 |" } ] }, { "id": "13285", "image": "13285.png", "conversations": [ { "from": "human", "question": "Judy has $66.00. How much money will Judy have left if she buys a yellow bath towel and a fleece blanket?\n" }, { "from": "gpt", "solution": "Find the total cost of a yellow bath towel and a fleece blanket.\n\n$18.00 + $13.00 = $31.00\n\nNow subtract the total cost from the starting amount.\n\n$66.00 - $31.00 = $35.00\n\nJudy will have $35.00 left.", "answer": "35", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| fleece blanket | $13.00 |\n| pillow | $12.00 |\n| yellow bath towel | $18.00 |\n| flannel sheet | $17.00 |\n| quilt | $17.00 |" } ] }, { "id": "13288", "image": "13288.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $810, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $810, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $370 | 20,200 | 1,900 |\n| $480 | 15,400 | 2,900 |\n| $590 | 10,600 | 3,900 |\n| $700 | 5,800 | 4,900 |\n| $810 | 1,000 | 5,900 |" } ] }, { "id": "13297", "image": "13297.png", "conversations": [ { "from": "human", "question": "A school administrator who was concerned about grade inflation looked over the number of straight-A students from year to year. According to the table, what was the rate of change between 2014 and 2015?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{22 students - 19 students}{2015 - 2014}\n = \\frac{22 students - 19 students}{1 year}\n = \\frac{3 students}{1 year}\n = 3 students per year\nThe rate of change between 2014 and 2015 was 3 students per year.", "answer": "3", "table": "**Straight-A students**\n\n| Year | Students |\n| --- | --- |\n| 2012 | 19 |\n| 2013 | 23 |\n| 2014 | 19 |\n| 2015 | 22 |\n| 2016 | 24 |" } ] }, { "id": "13301", "image": "13301.png", "conversations": [ { "from": "human", "question": "Each package has 5 markers. How many markers are in 4 packages?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 20 markers in 4 packages.", "answer": "20", "table": "| Number of packages | Number of markers |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | ? |" } ] }, { "id": "13305", "image": "13305.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $170, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $170, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $140 | 19,900 | 1,000 |\n| $170 | 15,200 | 4,000 |\n| $200 | 10,500 | 7,000 |\n| $230 | 5,800 | 10,000 |\n| $260 | 1,100 | 13,000 |" } ] }, { "id": "13320", "image": "13320.png", "conversations": [ { "from": "human", "question": "A baker wrote down how many pies she made in the past 6 days. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n48, 35, 48, 32, 32, 48\n\nFirst, arrange the numbers from least to greatest:\n\n32, 32, 35, 48, 48, 48\n\nNow count how many times each number appears.\n\n32 appears 2 times.\n35 appears 1 time.\n48 appears 3 times.\n\nThe number that appears most often is 48.\n\nThe mode is 48.", "answer": "48", "table": "**Pies baked**\n\n| Day | Number of pies |\n| --- | --- |\n| Monday | 48 |\n| Tuesday | 35 |\n| Wednesday | 48 |\n| Thursday | 32 |\n| Friday | 32 |\n| Saturday | 48 |" } ] }, { "id": "13329", "image": "13329.png", "conversations": [ { "from": "human", "question": "Cooper wants to buy 5 pounds of parsley. How much will he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the parsley. Multiply the price per pound by the number of pounds.\n\n$8 × 5 = $40\n\nHe will spend $40.", "answer": "40", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| chamomile | $6 per pound |\n| thyme | $5 per pound |\n| oregano | $9 per pound |\n| parsley | $8 per pound |\n| cilantro | $7 per pound |" } ] }, { "id": "13334", "image": "13334.png", "conversations": [ { "from": "human", "question": "A restaurant's average food preparation time was tracked from day to day as part of an efficiency improvement program. According to the table, what was the rate of change between Sunday and Monday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{41 minutes - 46 minutes}{1 day}\n = \\frac{-5 minutes}{1 day}\n = -5 minutes per day\nThe rate of change between Sunday and Monday was - 5 minutes per day.", "answer": "-5", "table": "**Average food preparation time**\n\n| Day | Food preparation time (minutes) |\n| --- | --- |\n| Sunday | 46 |\n| Monday | 41 |\n| Tuesday | 28 |\n| Wednesday | 30 |\n| Thursday | 44 |" } ] }, { "id": "13342", "image": "13342.png", "conversations": [ { "from": "human", "question": "A crayon factory monitored the number of broken crayons per box during the past day. How many boxes had at least 70 broken crayons but fewer than 90 broken crayons?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 7 and 8.\n\nYou counted 6 leaves, which are blue in the stem-and-leaf plot above. 6 boxes had at least 70 broken crayons but fewer than 90 broken crayons.", "answer": "6", "table": "**Broken crayons per box**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 4, 7 |\n| 2 | 3, 3, 4, 9 |\n| 3 | 0, 2, 2 |\n| 4 | 1, 4 |\n| 5 | 6, 6, 6, 7 |\n| 6 | 0, 3, 5, 9 |\n| 7 | 5, 6, 7, 8 |\n| 8 | 6, 8 |" } ] }, { "id": "13345", "image": "13345.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{10 - 20}{9 - 8}\n = \\frac{-10}{1}\n = -10\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{0 - 20}{10 - 8}\n = \\frac{-20}{2}\n = -10\nThe two rates of change are the same.\n10.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 8 | 20 |\n| 9 | 10 |\n| 10 | 0 |" } ] }, { "id": "13353", "image": "13353.png", "conversations": [ { "from": "human", "question": "A machine dispensed red gumdrops into bags of various sizes. How many bags had at least 40 red gumdrops but less than 70 red gumdrops?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 4, 5, and 6.\n\nYou counted 6 leaves, which are blue in the stem-and-leaf plot above. 6 bags had at least 40 red gumdrops but less than 70 red gumdrops.", "answer": "6", "table": "**Red gumdrops per bag**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 4, 7 |\n| 3 | 1, 3, 3, 9 |\n| 4 | 4 |\n| 5 | 5 |\n| 6 | 4, 5, 7, 7 |\n| 7 | 0 |\n| 8 | 3, 3 |" } ] }, { "id": "13364", "image": "13364.png", "conversations": [ { "from": "human", "question": "How much money does Clare need to buy a glue stick and a purple colored pencil?\n" }, { "from": "gpt", "solution": "Add the price of a glue stick and the price of a purple colored pencil:\n\n$0.09 + $0.07 = $0.16\n\nClare needs $0.16.", "answer": "0.16", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| silver pen | $0.04 |\n| glue stick | $0.09 |\n| purple colored pencil | $0.07 |\n| bright yellow highlighter | $0.01 |" } ] }, { "id": "13366", "image": "13366.png", "conversations": [ { "from": "human", "question": "A farmer recalled how many watermelons were harvested in the past 7 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n14, 21, 10, 11, 12, 19, 13\n\nFirst, find the greatest number. The greatest number is 21.\n\nNext, find the least number. The least number is 10.\n\nSubtract the least number from the greatest number:\n\n21 − 10 = 11\n\nThe range is 11.", "answer": "11", "table": "**Watermelons harvested**\n\n| Day | Number of watermelons |\n| --- | --- |\n| Friday | 14 |\n| Saturday | 21 |\n| Sunday | 10 |\n| Monday | 11 |\n| Tuesday | 12 |\n| Wednesday | 19 |\n| Thursday | 13 |" } ] }, { "id": "13367", "image": "13367.png", "conversations": [ { "from": "human", "question": "Each bag has 10 glass beads. How many glass beads are in 4 bags?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 40 glass beads in 4 bags.", "answer": "40", "table": "| Number of bags | Number of glass beads |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | ? |" } ] }, { "id": "13376", "image": "13376.png", "conversations": [ { "from": "human", "question": "A game show viewer monitors how often a wheel numbered 1 through 5 stops at each number. Which number was spun the most times?\n" }, { "from": "gpt", "solution": "Look at the frequency column. Find the greatest frequency. The greatest frequency is 20, which is in the row for 3. 3 was spun the most times.", "answer": "3", "table": "**Spinning a wheel numbered 1 through 5**\n\n| Number spun | Frequency |\n| --- | --- |\n| 1 | 12 |\n| 2 | 7 |\n| 3 | 20 |\n| 4 | 5 |\n| 5 | 9 |" } ] }, { "id": "13380", "image": "13380.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which class begins at 2.10 P.M.?\n" }, { "from": "gpt", "solution": "Find 2:10 P. M. on the schedule. The swing dance class begins at 2:10 P. M.", "answer": "swing dance class", "table": "**Dance studio schedule**\n\n| Class | Begin | End |\n| --- | --- | --- |\n| salsa dance | 9:05 A.M. | 9:35 A.M. |\n| western dance | 9:45 A.M. | 11:05 A.M. |\n| beginning ballet | 11:15 A.M. | 11:55 A.M. |\n| intermediate ballet | 12:00 P.M. | 1:10 P.M. |\n| hip hop dance | 1:25 P.M. | 2:05 P.M. |\n| swing dance | 2:10 P.M. | 3:15 P.M. |" } ] }, { "id": "13383", "image": "13383.png", "conversations": [ { "from": "human", "question": "How much more does a plane ticket to Tokyo cost than a plane ticket to New York City?\n" }, { "from": "gpt", "solution": "Subtract the price of a plane ticket to New York City from the price of a plane ticket to Tokyo.\n\n$971.00 - $454.00 = $517.00\n\nA plane ticket to Tokyo costs $517.00 more than a plane ticket to New York City.", "answer": "517", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| plane ticket to Tokyo | $971.00 |\n| plane ticket to New York City | $454.00 |\n| plane ticket to San Francisco | $716.00 |\n| plane ticket to London | $599.00 |" } ] }, { "id": "13392", "image": "13392.png", "conversations": [ { "from": "human", "question": "The bird watcher counted the number of birds in each flock that passed overhead. What is the largest number of birds?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 7.\n\nNow find the highest leaf in the last row. The highest leaf is 5.\n\nThe largest number of birds has a stem of 7 and a leaf of 5. Write the stem first, then the leaf: 75.\n\nThe largest number of birds is 75 birds.", "answer": "75", "table": "**Birds per flock**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 0, 0, 0 |\n| 3 | 2, 3, 5, 5, 8 |\n| 4 | 2, 5, 5, 5 |\n| 5 | 0, 2, 3, 6, 6, 7, 9 |\n| 6 | 0, 4, 5, 6, 9 |\n| 7 | 5 |" } ] }, { "id": "13402", "image": "13402.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{11 - 17}{16 - 15}\n = \\frac{-6}{1}\n = -6\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{4 - 11}{17 - 16}\n = \\frac{-7}{1}\n = -7\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 15 | 17 |\n| 16 | 11 |\n| 17 | 4 |" } ] }, { "id": "13407", "image": "13407.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which class begins at 11.05 A.M.?\n" }, { "from": "gpt", "solution": "Find 11:05 A. M. on the schedule. Recess begins at 11:05 A. M.", "answer": "Recess", "table": "**Class schedule**\n\n| Subject | Begin | End |\n| --- | --- | --- |\n| Art | 7:20 A.M. | 8:20 A.M. |\n| Reading | 8:30 A.M. | 9:00 A.M. |\n| Writing | 9:05 A.M. | 9:45 A.M. |\n| Handwriting | 9:55 A.M. | 10:55 A.M. |\n| Recess | 11:05 A.M. | 12:05 P.M. |\n| Spanish | 12:10 P.M. | 1:25 P.M. |\n| Social Studies | 1:30 P.M. | 2:20 P.M. |\n| French | 2:30 P.M. | 3:20 P.M. |" } ] }, { "id": "13409", "image": "13409.png", "conversations": [ { "from": "human", "question": "The transportation company tracked the number of train tickets sold in the past 7 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n42, 35, 38, 43, 36, 43, 45\n\nFirst, arrange the numbers from least to greatest:\n\n35, 36, 38, 42, 43, 43, 45\n\nNow find the number in the middle.\n\n35, 36, 38, 42, 43, 43, 45\n\nThe number in the middle is 42.\n\nThe median is 42.", "answer": "42", "table": "**Train tickets sold**\n\n| Day | Number of tickets |\n| --- | --- |\n| Monday | 42 |\n| Tuesday | 35 |\n| Wednesday | 38 |\n| Thursday | 43 |\n| Friday | 36 |\n| Saturday | 43 |\n| Sunday | 45 |" } ] }, { "id": "13411", "image": "13411.png", "conversations": [ { "from": "human", "question": "A stock broker followed the stock prices of a certain set of companies. How much did Houston Sporting Goods's stock cost on Wednesday?\n" }, { "from": "gpt", "solution": "First, find the row for Houston Sporting Goods. Then find the number in the Wednesday column.\n\nThis number is $20.00. Houston Sporting Goods's stock cost $20 on Wednesday.", "answer": "20", "table": "**Stock prices**\n\n| Company | Wednesday | Thursday |\n| --- | --- | --- |\n| Watson and Partners | $13 | $2 |\n| Computer Data Company | $11 | $19 |\n| Houston Sporting Goods | $20 | $19 |\n| White and Company | $8 | $6 |\n| Jonas Incorporated | $5 | $5 |" } ] }, { "id": "13412", "image": "13412.png", "conversations": [ { "from": "human", "question": "Colleen buys 1/10 of a kilogram of green olives. How much does she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the green olives. Multiply the price per kilogram by the number of kilograms.\n$3 × \\frac{1}{10} = $3 × 0.1 = $0.30\nShe spends $0.30.", "answer": "0.30", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| black olives | $2/kilogram |\n| Greek olives | $3/kilogram |\n| Spanish olives | $2/kilogram |\n| green olives | $3/kilogram |\n| Kalamata olives | $2/kilogram |\n| pimento olives | $2/kilogram |" } ] }, { "id": "13417", "image": "13417.png", "conversations": [ { "from": "human", "question": "As part of a project for health class, Isaiah surveyed local delis about the kinds of sandwiches sold. How many vegetarian sandwiches did Express Sandwiches sell?\n" }, { "from": "gpt", "solution": "First, find the row for Express Sandwiches. Then find the number in the Vegetarian sandwiches column.\n\nThis number is 8. Express Sandwiches sold 8 vegetarian sandwiches.", "answer": "8", "table": "**Sandwich sales**\n\n| Shop | Ham sandwiches | Vegetarian sandwiches |\n| --- | --- | --- |\n| City Cafe | 15 | 14 |\n| Joe's Diner | 6 | 10 |\n| Express Sandwiches | 4 | 8 |\n| Sam's Sandwich Shop | 19 | 20 |" } ] }, { "id": "13426", "image": "13426.png", "conversations": [ { "from": "human", "question": "While hanging Christmas lights for neighbors, Evan counted the number of broken lights on each string. How many strings had at least 50 broken lights but less than 80 broken lights?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 5, 6, and 7.\n\nYou counted 11 leaves, which are blue in the stem-and-leaf plot above. 11 strings had at least 50 broken lights but less than 80 broken lights.", "answer": "11", "table": "**Broken lights per string**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 2, 3, 4, 6, 9 |\n| 3 | 3, 8, 9 |\n| 4 | 0, 2, 7, 9 |\n| 5 | 0, 6, 6, 7 |\n| 6 | 0, 0, 1, 8, 9 |\n| 7 | 3, 8 |" } ] }, { "id": "13435", "image": "13435.png", "conversations": [ { "from": "human", "question": "The parents running this year's craft sale counted the number of key chains made by volunteers. How many people made fewer than 4 key chains?\n" }, { "from": "gpt", "solution": "Find the rows for 1, 2, and 3 key chains. Add the frequencies for these rows.\n\nAdd:\n\n2 + 5 + 9 = 16\n\n16 people made fewer than 4 key chains.", "answer": "16", "table": "**Making key chains**\n\n| Key chains made | Frequency |\n| --- | --- |\n| 1 | 2 |\n| 2 | 5 |\n| 3 | 9 |\n| 4 | 8 |\n| 5 | 19 |" } ] }, { "id": "13454", "image": "13454.png", "conversations": [ { "from": "human", "question": "A bus driver paid attention to how many passengers her bus had each day. On which day did the bus have the most passengers?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 97.\n\nNow find the corresponding day. Saturday corresponds to 97.", "answer": "Saturday", "table": "**People on the bus**\n\n| Day | Number of people |\n| --- | --- |\n| Saturday | 97 |\n| Sunday | 94 |\n| Monday | 91 |\n| Tuesday | 93 |" } ] }, { "id": "13458", "image": "13458.png", "conversations": [ { "from": "human", "question": "Charlie kept track of how long it took to finish his homework each day. According to the table, what was the rate of change between Tuesday and Wednesday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{27 minutes - 18 minutes}{1 day}\n = \\frac{9 minutes}{1 day}\n = 9 minutes per day\nThe rate of change between Tuesday and Wednesday was 9 minutes per day.", "answer": "9", "table": "**Time Charlie spent on homework**\n\n| Day | Minutes |\n| --- | --- |\n| Sunday | 17 |\n| Monday | 22 |\n| Tuesday | 18 |\n| Wednesday | 27 |\n| Thursday | 20 |" } ] }, { "id": "13466", "image": "13466.png", "conversations": [ { "from": "human", "question": "How much money does Chloe need to buy 9 super laptops and 3 high-tech desktops?\n" }, { "from": "gpt", "solution": "Find the cost of 9 super laptops.\n\n$4,405 × 9 = $39,645\n\nFind the cost of 3 high-tech desktops.\n\n$1,713 × 3 = $5,139\n\nNow find the total cost.\n\n$39,645 + $5,139 = $44,784\n\nChloe needs $44,784.", "answer": "44,784", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| high-tech desktop | $1,713 |\n| kids' laptop | $5,762 |\n| kids' desktop | $8,841 |\n| super laptop | $4,405 |\n| wide-screen laptop | $9,169 |\n| business laptop | $3,404 |" } ] }, { "id": "13476", "image": "13476.png", "conversations": [ { "from": "human", "question": "Belle, a candy store employee, placed peppermint candies into jars of various sizes. How many jars had at least 68 peppermint candies but fewer than 93 peppermint candies?\n" }, { "from": "gpt", "solution": "Find the row with stem 6. Count all the leaves greater than or equal to 8.\n\nCount all the leaves in the rows with stems 7 and 8.\n\nIn the row with stem 9, count all the leaves less than 3.\n\nYou counted 5 leaves, which are blue in the stem-and-leaf plots above. 5 jars had at least 68 peppermint candies but fewer than 93 peppermint candies.", "answer": "5", "table": "**Peppermint candies per jar**\n\n| Stem | Leaf |\n| --- | --- |\n| 6 | 3, 5, 7 |\n| 7 | 0, 1, 9 |\n| 8 | 9 |\n| 9 | 0 |" } ] }, { "id": "13479", "image": "13479.png", "conversations": [ { "from": "human", "question": "The Georgetown Tourism Office researched how often people played miniature golf last summer. How many people played mini-golf at least 3 times?\n" }, { "from": "gpt", "solution": "Find the rows for 3 and 4 times. Add the frequencies for these rows.\n\nAdd:\n\n20 + 17 = 37\n\n37 people played mini-golf at least 3 times.", "answer": "37", "table": "**Playing miniature golf last summer**\n\n| Times played | Frequency |\n| --- | --- |\n| 0 | 11 |\n| 1 | 16 |\n| 2 | 15 |\n| 3 | 20 |\n| 4 | 17 |" } ] }, { "id": "13482", "image": "13482.png", "conversations": [ { "from": "human", "question": "How much money does Bill need to buy a shiny gold shell and a dark gray shell?\n" }, { "from": "gpt", "solution": "Add the price of a shiny gold shell and the price of a dark gray shell:\n\n$0.09 + $0.05 = $0.14\n\nBill needs $0.14.", "answer": "0.14", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| dark gray shell | $0.05 |\n| oyster shell | $0.02 |\n| shiny gold shell | $0.09 |\n| whole sand dollar | $0.05 |" } ] }, { "id": "13490", "image": "13490.png", "conversations": [ { "from": "human", "question": "The gym teacher wrote down how many tennis balls his students hit in half an hour. Which student hit the fewest tennis balls?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 119.\n\nNow find the corresponding name. Marshall corresponds to 119.", "answer": "Marshall", "table": "**Hitting tennis balls**\n\n| Name | Number of tennis balls |\n| --- | --- |\n| Marshall | 119 |\n| Grace | 195 |\n| Baldwin | 151 |\n| Cassie | 159 |" } ] }, { "id": "13492", "image": "13492.png", "conversations": [ { "from": "human", "question": "While compiling photos for an album, Maureen noted the number of photographs taken by each of her friends and family. How many people took more than 1 photograph?\n" }, { "from": "gpt", "solution": "Find the rows for 2, 3, 4, 5, and 6 photographs. Add the frequencies for these rows.\n\nAdd:\n\n16 + 1 + 18 + 4 + 12 = 51\n\n51 people took more than 1 photograph.", "answer": "51", "table": "**Taking photographs**\n\n| Photographs taken | Frequency |\n| --- | --- |\n| 0 | 9 |\n| 1 | 0 |\n| 2 | 16 |\n| 3 | 1 |\n| 4 | 18 |\n| 5 | 4 |\n| 6 | 12 |" } ] }, { "id": "13494", "image": "13494.png", "conversations": [ { "from": "human", "question": "Vincent buys 1+4/5 pounds of rectangular beads. How much does he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the rectangular beads. Multiply the price per pound by the number of pounds.\n$6 × 1\\frac{4}{5} = $6 × 1.8 = $10.80\nHe spends $10.80.", "answer": "10.80", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| spherical beads | $3/pound |\n| oval beads | $4/pound |\n| flower-shaped beads | $5/pound |\n| star-shaped beads | $4/pound |\n| rectangular beads | $6/pound |" } ] }, { "id": "13495", "image": "13495.png", "conversations": [ { "from": "human", "question": "A game show viewer monitors how often a wheel numbered 1 through 5 stops at each number. How many people spun a number less than 3?\n" }, { "from": "gpt", "solution": "Find the rows for 1 and 2. Add the frequencies for these rows.\n\nAdd:\n\n3 + 14 = 17\n\n17 people spun a number less than 3.", "answer": "17", "table": "**Spinning a wheel numbered 1 through 5**\n\n| Number spun | Frequency |\n| --- | --- |\n| 1 | 3 |\n| 2 | 14 |\n| 3 | 4 |\n| 4 | 9 |\n| 5 | 0 |" } ] }, { "id": "13497", "image": "13497.png", "conversations": [ { "from": "human", "question": "Stefan measured the length of each scarf in the clothing store where he works. How many scarves are at least 60 centimeters but less than 80 centimeters?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 6 and 7.\n\nYou counted 9 leaves, which are blue in the stem-and-leaf plot above. 9 scarves are at least 60 centimeters but less than 80 centimeters.", "answer": "9", "table": "**Scarf lengths (centimeters)**\n\n| Stem | Leaf |\n| --- | --- |\n| 6 | 9 |\n| 7 | 0, 1, 1, 2, 3, 3, 7, 9 |\n| 8 | 0, 0, 3, 6, 7, 9 |\n| 9 | 0, 0 |" } ] }, { "id": "13499", "image": "13499.png", "conversations": [ { "from": "human", "question": "A cookie factory monitored the number of broken cookies per pack yesterday. How many packs had at least 0 broken cookies but less than 42 broken cookies?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 0, 1, 2, and 3.\n\nIn the row with stem 4, count all the leaves less than 2.\n\nYou counted 13 leaves, which are blue in the stem-and-leaf plots above. 13 packs had at least 0 broken cookies but less than 42 broken cookies.", "answer": "13", "table": "**Broken cookies per pack**\n\n| Stem | Leaf |\n| --- | --- |\n| 0 | 1, 6, 7 |\n| 1 | 0, 1 |\n| 2 | 0, 1, 2, 2, 4, 9 |\n| 3 | 3, 7 |\n| 4 | 8 |\n| 5 | 8, 9 |\n| 6 | 8 |\n| 7 | 0, 1, 3, 6, 7, 7, 8 |" } ] }, { "id": "13509", "image": "13509.png", "conversations": [ { "from": "human", "question": "Gardeners at the Conway estate counted the number of flowers growing there. How many pink flowers are in the garden?\n" }, { "from": "gpt", "solution": "Find the row for pink. Add the numbers in the Pink row.\n\nAdd:\n\n18 + 1 = 19\n\nThere are 19 pink flowers in the garden.", "answer": "19", "table": "**Flower garden**\n\n| Color | Roses | Tulips |\n| --- | --- | --- |\n| Red | 2 | 1 |\n| White | 19 | 1 |\n| Pink | 18 | 1 |\n| Orange | 11 | 16 |" } ] }, { "id": "13513", "image": "13513.png", "conversations": [ { "from": "human", "question": "How much money does Lamar need to buy a volleyball net and a basketball jersey?\n" }, { "from": "gpt", "solution": "Add the price of a volleyball net and the price of a basketball jersey:\n\n$36.88 + $21.09 = $57.97\n\nLamar needs $57.97.", "answer": "57.97", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| basketball jersey | $21.09 |\n| volleyball net | $36.88 |\n| softball bat | $11.60 |\n| soccer jersey | $16.40 |\n| volleyball | $17.51 |\n| swimsuit | $16.48 |" } ] }, { "id": "13514", "image": "13514.png", "conversations": [ { "from": "human", "question": "A magazine editor looked at his sales figures for the past 3 months. How many copies in total were sold in May and June?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nMay: 3,557\nJune: 2,388\n\nNow add: 3,557 + 2,388 = 5,945.\n\n5,945 copies were sold in May and June.", "answer": "5,945", "table": "**Magazines sold**\n\n| Month | Number of magazines |\n| --- | --- |\n| May | 3,557 |\n| June | 2,388 |\n| July | 1,857 |" } ] }, { "id": "13525", "image": "13525.png", "conversations": [ { "from": "human", "question": "Aubrey graphed the temperature at noon for 7 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 10, 9, 10, 5, 9, 10\n\nFirst, find the greatest number. The greatest number is 10.\n\nNext, find the least number. The least number is 5.\n\nSubtract the least number from the greatest number:\n\n10 − 5 = 5\n\nThe range is 5.", "answer": "5", "table": "**Temperature at noon**\n\n| Day | Temperature (°C) |\n| --- | --- |\n| Wednesday | 9 |\n| Thursday | 10 |\n| Friday | 9 |\n| Saturday | 10 |\n| Sunday | 5 |\n| Monday | 9 |\n| Tuesday | 10 |" } ] }, { "id": "13528", "image": "13528.png", "conversations": [ { "from": "human", "question": "Maggie likes watching the show Engineering Marvels. In last night's episode, the engineering team visited a tall skyscraper and a deep mine. A banner at the bottom of the screen showed the elevation of each location the team visited. Which location is closer to sea level?\n" }, { "from": "gpt", "solution": "The top of the skyscraper has a positive elevation, so it is above sea level. The bottom of the mine has a negative elevation, so it is below sea level.\nTo find the location closer to sea level, use absolute value. Absolute value tells you how far each location is from sea level.\nTop of the skyscraper: |275| = 275\nBottom of the mine: |-260| = 260\nThe top of the skyscraper is 275 meters above sea level, but the bottom of the mine is only260 meters below sea level. The bottom of the mine is closer to sea level.", "answer": "bottom of the mine", "table": "| Location | Elevation (m) |\n| --- | --- |\n| Top of the skyscraper | 275 |\n| Bottom of the mine | -260 |" } ] }, { "id": "13529", "image": "13529.png", "conversations": [ { "from": "human", "question": "How much more does a guitar cost than a clarinet?\n" }, { "from": "gpt", "solution": "Subtract the price of a clarinet from the price of a guitar.\n\n$584 - $494 = $90\n\nA guitar costs $90 more than a clarinet.", "answer": "90", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| flute | $472 |\n| clarinet | $494 |\n| banjo | $343 |\n| trombone | $204 |\n| drum set | $208 |\n| guitar | $584 |" } ] }, { "id": "13530", "image": "13530.png", "conversations": [ { "from": "human", "question": "The architecture student counted the number of bricks in each building in his neighborhood. What is the smallest number of bricks?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 1.\n\nNow find the lowest leaf in the first row. The lowest leaf is 2.\n\nThe smallest number of bricks has a stem of 1 and a leaf of 2. Write the stem first, then the leaf: 12.\n\nThe smallest number of bricks is 12 bricks.", "answer": "12", "table": "**Bricks per building**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 2, 4 |\n| 2 | |\n| 3 | |\n| 4 | 5 |\n| 5 | |\n| 6 | 4, 6, 6, 7, 8 |\n| 7 | |\n| 8 | |\n| 9 | 0 |" } ] }, { "id": "13534", "image": "13534.png", "conversations": [ { "from": "human", "question": "How much money does Kendrick need to buy a bag of potato chips and a piece of cornbread?\n" }, { "from": "gpt", "solution": "Add the price of a bag of potato chips and the price of a piece of cornbread:\n\n$0.92 + $0.77 = $1.69\n\nKendrick needs $1.69.", "answer": "1.69", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| bagel | $0.97 |\n| bottle of water | $0.92 |\n| bag of potato chips | $0.92 |\n| cup of milk | $0.83 |\n| piece of cornbread | $0.77 |" } ] }, { "id": "13542", "image": "13542.png", "conversations": [ { "from": "human", "question": "Jerry kept track of how many boxes of cookies he sold over the past 4 days. On which day did Jerry sell the fewest boxes?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 50.\n\nNow find the corresponding day. Saturday corresponds to 50.", "answer": "Saturday", "table": "**Boxes of cookies sold**\n\n| Day | Number of boxes |\n| --- | --- |\n| Wednesday | 58 |\n| Thursday | 52 |\n| Friday | 53 |\n| Saturday | 50 |" } ] }, { "id": "13546", "image": "13546.png", "conversations": [ { "from": "human", "question": "How much money does Jayden need to buy a deer postcard, a coyote stamp, and a long white envelope?\n" }, { "from": "gpt", "solution": "Find the total cost of a deer postcard, a coyote stamp, and a long white envelope.\n\n$0.26 + $0.50 + $0.38 = $1.14\n\nJayden needs $1.14.", "answer": "1.14", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| deer postcard | $0.26 |\n| butterfly stamp | $0.36 |\n| long white envelope | $0.38 |\n| large yellow envelope | $0.14 |\n| coyote stamp | $0.50 |" } ] }, { "id": "13549", "image": "13549.png", "conversations": [ { "from": "human", "question": "Omar counted the number of ducks at each pond in the city. How many ponds had at least 30 ducks but fewer than 80 ducks?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 3, 4, 5, 6, and 7.\n\nYou counted 10 leaves, which are blue in the stem-and-leaf plot above. 10 ponds had at least 30 ducks but fewer than 80 ducks.", "answer": "10", "table": "**Ducks per pond**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 0, 4 |\n| 3 | 3 |\n| 4 | 7, 8 |\n| 5 | 0, 4, 8 |\n| 6 | 0, 2, 9 |\n| 7 | 5 |" } ] }, { "id": "13550", "image": "13550.png", "conversations": [ { "from": "human", "question": "Ken buys 2 kilograms of zucchini. How much does he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the zucchini. Multiply the price per kilogram by the number of kilograms.\n\n$0.52 × 2 = $1.04\n\nHe spends $1.04.", "answer": "1.04", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| beets | $1.11/kilogram |\n| potatoes | $0.44/kilogram |\n| yams | $0.32/kilogram |\n| carrots | $0.93/kilogram |\n| zucchini | $0.52/kilogram |" } ] }, { "id": "13556", "image": "13556.png", "conversations": [ { "from": "human", "question": "The members of the track team compared how many miles they ran last week. Who ran the farthest?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 17.\n\nNow find the corresponding name. Greta corresponds to 17.", "answer": "Greta", "table": "**Running miles**\n\n| Name | Miles |\n| --- | --- |\n| Nate | 15 |\n| Sandeep | 16 |\n| Greta | 17 |\n| Eva | 13 |" } ] }, { "id": "13562", "image": "13562.png", "conversations": [ { "from": "human", "question": "Ethan wants to buy 3+1/4 pounds of rib. How much will he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the rib. Multiply the price per pound by the number of pounds.\n$5 × 3\\frac{1}{4} = $5 × 3.25 = $16.25\nHe will spend $16.25.", "answer": "16.25", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| brisket | $3/lb |\n| round | $8/lb |\n| chuck | $10/lb |\n| shank | $10/lb |\n| loin | $8/lb |\n| rib | $5/lb |" } ] }, { "id": "13564", "image": "13564.png", "conversations": [ { "from": "human", "question": "A parent volunteer counted the number of boxes sold by each student participating in the cookie fundraiser. How many students sold exactly 2 boxes of cookies?\n" }, { "from": "gpt", "solution": "Find the row for 2 boxes of cookies and read the frequency. The frequency is 15.\n\n15 students sold exactly2 boxes of cookies.", "answer": "15", "table": "**Selling cookies**\n\n| Boxes sold | Frequency |\n| --- | --- |\n| 1 | 1 |\n| 2 | 15 |\n| 3 | 0 |\n| 4 | 3 |\n| 5 | 2 |\n| 6 | 10 |" } ] }, { "id": "13566", "image": "13566.png", "conversations": [ { "from": "human", "question": "Some students compared how many blocks they live from school. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n14, 8, 17, 17, 3, 7, 5, 17\n\nFirst, count how many numbers are in the group.\n\nThere are 8 numbers.\n\nNow add all the numbers together:\n\n14 + 8 + 17 + 17 + 3 + 7 + 5 + 17 = 88\n\nNow divide the sum by the number of numbers:\n\n88 ÷ 8 = 11\n\nThe mean is 11.", "answer": "11", "table": "**Blocks from school**\n\n| Name | Number of blocks |\n| --- | --- |\n| Wendy | 14 |\n| Carson | 8 |\n| Zach | 17 |\n| Lila | 17 |\n| Nicole | 3 |\n| Shane | 7 |\n| Henry | 5 |\n| Devin | 17 |" } ] }, { "id": "13571", "image": "13571.png", "conversations": [ { "from": "human", "question": "How much money does Damon need to buy a beach towel and a yellow bath towel?\n" }, { "from": "gpt", "solution": "Add the price of a beach towel and the price of a yellow bath towel:\n\n$10 + $12 = $22\n\nDamon needs $22.", "answer": "22", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| fleece blanket | $15 |\n| yellow bath towel | $12 |\n| flannel sheet | $17 |\n| beach towel | $10 |" } ] }, { "id": "13572", "image": "13572.png", "conversations": [ { "from": "human", "question": "An administrator at the Department of Motor Vehicles (DMV) tracked the average wait time from month to month. According to the table, what was the rate of change between April and May?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{28 minutes - 10 minutes}{1 month}\n = \\frac{18 minutes}{1 month}\n = 18 minutes per month\nThe rate of change between April and May was 18 minutes per month.", "answer": "18", "table": "**Average waiting time at the DMV**\n\n| Month | Waiting time (minutes) |\n| --- | --- |\n| March | 20 |\n| April | 10 |\n| May | 28 |\n| June | 25 |\n| July | 30 |" } ] }, { "id": "13573", "image": "13573.png", "conversations": [ { "from": "human", "question": "How much more does a picture of a shark cost than a palm tree magnet?\n" }, { "from": "gpt", "solution": "Subtract the price of a palm tree magnet from the price of a picture of a shark.\n\n$0.86 - $0.59 = $0.27\n\nA picture of a shark costs $0.27 more than a palm tree magnet.", "answer": "0.27", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| sand castle magnet | $0.52 |\n| plastic crab | $0.29 |\n| souvenir cup | $0.45 |\n| palm tree magnet | $0.59 |\n| picture of a shark | $0.86 |" } ] }, { "id": "13577", "image": "13577.png", "conversations": [ { "from": "human", "question": "How much money does Krysta need to buy 4 orders of cinnamon toast and 9 egg sandwiches?\n" }, { "from": "gpt", "solution": "Find the cost of 4 orders of cinnamon toast.\n\n$4.53 × 4 = $18.12\n\nFind the cost of 9 egg sandwiches.\n\n$2.59 × 9 = $23.31\n\nNow find the total cost.\n\n$18.12 + $23.31 = $41.43\n\nKrysta needs $41.43.", "answer": "41.43", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| fried eggs | $1.35 |\n| cinnamon toast | $4.53 |\n| blueberry pancakes | $8.70 |\n| bowl of cereal | $1.27 |\n| poppyseed muffin | $1.96 |\n| egg sandwich | $2.59 |" } ] }, { "id": "13582", "image": "13582.png", "conversations": [ { "from": "human", "question": "How much money does Jasper need to buy an antique teak wood end table, an antique rosewood corner cabinet, and an antique hand-painted trunk?\n" }, { "from": "gpt", "solution": "Find the total cost of an antique teak wood end table, an antique rosewood corner cabinet, and an antique hand-painted trunk.\n\n$356 + $760 + $913 = $2,029\n\nJasper needs $2,029.", "answer": "2,029", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| antique rosewood corner cabinet | $760 |\n| antique teak wood end table | $356 |\n| antique elm coffee table | $766 |\n| antique hand-painted trunk | $913 |" } ] }, { "id": "13591", "image": "13591.png", "conversations": [ { "from": "human", "question": "Professor Kirby compiled the scores from the last quiz. Which score did the fewest students receive?\n" }, { "from": "gpt", "solution": "Look at the frequency column. Find the least frequency. The least frequency is 3, which is in the row for 10. The fewest students scored 10.", "answer": "10", "table": "**Scores on the last quiz**\n\n| Score | Frequency |\n| --- | --- |\n| 5 | 18 |\n| 6 | 17 |\n| 7 | 19 |\n| 8 | 11 |\n| 9 | 20 |\n| 10 | 3 |" } ] }, { "id": "13598", "image": "13598.png", "conversations": [ { "from": "human", "question": "To get credit for meeting her school's community service requirement, Tisha kept a volunteering log. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n2, 9, 9, 3, 3, 3, 2\n\nFirst, arrange the numbers from least to greatest:\n\n2, 2, 3, 3, 3, 9, 9\n\nNow count how many times each number appears.\n\n2 appears 2 times.\n3 appears 3 times.\n9 appears 2 times.\n\nThe number that appears most often is 3.\n\nThe mode is 3.", "answer": "3", "table": "**Hours spent volunteering**\n\n| Day | Hours |\n| --- | --- |\n| Saturday | 2 |\n| Sunday | 9 |\n| Monday | 9 |\n| Tuesday | 3 |\n| Wednesday | 3 |\n| Thursday | 3 |\n| Friday | 2 |" } ] }, { "id": "13603", "image": "13603.png", "conversations": [ { "from": "human", "question": "Livingston Property Management reviewed the number of vacant apartments at each its apartment complexes over time. In September, which complex had the most vacant apartments?\n" }, { "from": "gpt", "solution": "Look at the numbers in the September column. Find the greatest number in this column.\n\nThe greatest number is 20, which is in the City Apartments row. In September, City Apartments had the most vacant apartments.", "answer": "City Apartments", "table": "**Vacant apartments**\n\n| Apartment complex | August | September |\n| --- | --- | --- |\n| Alameda Apartments | 11 | 17 |\n| City Apartments | 16 | 20 |\n| Downtown Apartments | 14 | 13 |\n| Shadyside Apartments | 5 | 5 |\n| University Apartments | 9 | 12 |" } ] }, { "id": "13606", "image": "13606.png", "conversations": [ { "from": "human", "question": "Erin graphed the temperature at noon for 7 days. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n4, 4, 6, 5, 6, 4, 5\n\nFirst, arrange the numbers from least to greatest:\n\n4, 4, 4, 5, 5, 6, 6\n\nNow count how many times each number appears.\n\n4 appears 3 times.\n5 appears 2 times.\n6 appears 2 times.\n\nThe number that appears most often is 4.\n\nThe mode is 4.", "answer": "4", "table": "**Temperature at noon**\n\n| Day | Temperature (°C) |\n| --- | --- |\n| Sunday | 4 |\n| Monday | 4 |\n| Tuesday | 6 |\n| Wednesday | 5 |\n| Thursday | 6 |\n| Friday | 4 |\n| Saturday | 5 |" } ] }, { "id": "13608", "image": "13608.png", "conversations": [ { "from": "human", "question": "Lakeside requires all dogs to be registered with the city and keeps records of the distribution of different breeds. What fraction of dogs registered with the city are Yorkshire Terriers? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find the number of Yorkshire Terriers that are registered with the city.\n\n860\n\nFind the total number of dogs that are registered with the city.\n\n400 + 660 + 560 + 860 + 600 + 450 = 3,530\n\nDivide 860 by 3,530.\n\n\\frac{860}{3,530}\n\nReduce the fraction.\n\n\\frac{860}{3,530} → \\frac{86}{353}\n\n\\frac{86}{353} of Find the number of Yorkshire Terriers that are registered with the city.", "answer": "86/353", "table": "**Dog ownership**\n\n| Breed | Number of dogs registered |\n| --- | --- |\n| Labrador Retrievers | 400 |\n| Beagles | 660 |\n| Boxers | 560 |\n| Yorkshire Terriers | 860 |\n| Golden Retrievers | 600 |\n| Other | 450 |" } ] }, { "id": "13612", "image": "13612.png", "conversations": [ { "from": "human", "question": "How much money does Carly need to buy 9 greeting cards and 3 packages of confetti?\n" }, { "from": "gpt", "solution": "Find the cost of 9 greeting cards.\n\n$2.54 × 9 = $22.86\n\nFind the cost of 3 packages of confetti.\n\n$1.23 × 3 = $3.69\n\nNow find the total cost.\n\n$22.86 + $3.69 = $26.55\n\nCarly needs $26.55.", "answer": "26.55", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| greeting card | $2.54 |\n| package of confetti | $1.23 |\n| birthday balloon | $1.92 |\n| whistle | $1.46 |\n| gift bag | $3.68 |" } ] }, { "id": "13615", "image": "13615.png", "conversations": [ { "from": "human", "question": "A balloon artist counted the number of balloon animal requests he received at a party. The balloon requests differed in animal type and color. What is the probability that a randomly selected balloon animal is green and is shaped like a dog? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the balloon animal is green\" and B be the event \"the balloon animal is shaped like a dog\".\nTo find the probability that a balloon animal is green and is shaped like a dog, first identify the sample space and the event.\nThe outcomes in the sample space are the different balloon animals. Each balloon animal is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the balloon animal is green and is shaped like a dog\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the balloon animal is green and is shaped like a dog\", so look at the table to see how many balloon animals are green and are shaped like a dog.\nThe number of balloon animals that are green and are shaped like a dog is 4.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of balloon animals.\n4 + 1 + 7 + 4 = 16\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{4}{16}\n = \\frac{1}{4}\nThe probability that a balloon animal is green and is shaped like a dog is \\frac{1}{4}.", "answer": "1/4", "table": "| | Giraffe | Dog |\n| --- | --- | --- |\n| Purple | 4 | 7 |\n| Green | 1 | 4 |" } ] }, { "id": "13617", "image": "13617.png", "conversations": [ { "from": "human", "question": "How much more does a pot-bellied pig cost than a rabbit?\n" }, { "from": "gpt", "solution": "Subtract the price of a rabbit from the price of a pot-bellied pig.\n\n$50.88 - $21.88 = $29.00\n\nA pot-bellied pig costs $29.00 more than a rabbit.", "answer": "29", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| rabbit | $21.88 |\n| pot-bellied pig | $50.88 |\n| tarantula | $25.55 |\n| bearded dragon | $74.21 |" } ] }, { "id": "13619", "image": "13619.png", "conversations": [ { "from": "human", "question": "The employee at the department store counted the number of ties on each tie rack. How many racks have exactly 45 ties?\n" }, { "from": "gpt", "solution": "For the number 45, the stem is 4, and the leaf is 5. Find the row where the stem is 4. In that row, count all the leaves equal to 5.\n\nYou counted 1 leaf, which is blue in the stem-and-leaf plot above. 1 rack has exactly 45 ties.", "answer": "1", "table": "**Ties per rack**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 7, 7 |\n| 4 | 5, 6 |\n| 5 | 2, 3 |\n| 6 | 4, 4 |" } ] }, { "id": "13631", "image": "13631.png", "conversations": [ { "from": "human", "question": "A parent volunteer counted the number of boxes sold by each student participating in the cookie fundraiser. How many students are there in all?\n" }, { "from": "gpt", "solution": "Add the frequencies for each row.\n\nAdd:\n\n18 + 17 + 16 + 4 + 5 = 60\n\nThere are 60 students in all.", "answer": "60", "table": "**Selling cookies**\n\n| Boxes sold | Frequency |\n| --- | --- |\n| 1 | 18 |\n| 2 | 17 |\n| 3 | 16 |\n| 4 | 4 |\n| 5 | 5 |" } ] }, { "id": "13634", "image": "13634.png", "conversations": [ { "from": "human", "question": "How much money does Tanner need to buy 6 green salads?\n" }, { "from": "gpt", "solution": "Find the total cost of 6 green salads by multiplying 6 times the price of a green salad.\n\n$5.22 × 6 = $31.32\n\nTanner needs $31.32.", "answer": "31.32", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| grilled eggplant | $5.41 |\n| green salad | $5.22 |\n| spaghetti and meatballs | $6.50 |\n| cheese pizza | $6.47 |\n| garlic bread | $2.35 |" } ] }, { "id": "13639", "image": "13639.png", "conversations": [ { "from": "human", "question": "Sandeep counted the number of silver beads on each bracelet at Booneville Jewelry, the store where he works. How many bracelets had at least 47 silver beads?\n" }, { "from": "gpt", "solution": "Find the row with stem 4. Count all the leaves greater than or equal to 7.\n\nCount all the leaves in the row with stem 5.\n\nYou counted 7 leaves, which are blue in the stem-and-leaf plots above. 7 bracelets had at least 47 silver beads.", "answer": "7", "table": "**Silver beads per bracelet**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 1, 3, 5, 5, 6, 6, 9 |\n| 3 | 0, 1, 2, 5, 6, 7, 8 |\n| 4 | 0, 2, 6, 6, 8, 9, 9, 9 |\n| 5 | 6, 8, 9 |" } ] }, { "id": "13651", "image": "13651.png", "conversations": [ { "from": "human", "question": "As part of a statistics project, a math class weighed all the children who were willing to participate. How many children weighed at least 30 pounds?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 3 and 4.\n\nYou counted 13 leaves, which are blue in the stem-and-leaf plot above. 13 children weighed at least 30 pounds.", "answer": "13", "table": "**Children's weights (lbs)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1, 6 |\n| 2 | |\n| 3 | 0, 2, 6, 9, 9, 9 |\n| 4 | 1, 2, 2, 4, 7, 7, 7 |" } ] }, { "id": "13659", "image": "13659.png", "conversations": [ { "from": "human", "question": "Each pond has 2 ducks. How many ducks are in 5 ponds?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 10 ducks in 5 ponds.", "answer": "10", "table": "| Number of ponds | Number of ducks |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | 6 |\n| 4 | 8 |\n| 5 | ? |" } ] }, { "id": "13660", "image": "13660.png", "conversations": [ { "from": "human", "question": "The parks department compared how many soccer fields there are at each park. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 6, 7, 1, 1, 1, 6, 1\n\nFirst, arrange the numbers from least to greatest:\n\n1, 1, 1, 1, 6, 6, 7, 7\n\nNow count how many times each number appears.\n\n1 appears 4 times.\n6 appears 2 times.\n7 appears 2 times.\n\nThe number that appears most often is 1.\n\nThe mode is 1.", "answer": "1", "table": "**Soccer fields**\n\n| Park | Number of soccer fields |\n| --- | --- |\n| Windy Hill Park | 7 |\n| Middle Park | 6 |\n| Crane Park | 7 |\n| Juniper Park | 1 |\n| Lighthouse Park | 1 |\n| Madison Park | 1 |\n| Moon Park | 6 |\n| Elmhurst Park | 1 |" } ] }, { "id": "13661", "image": "13661.png", "conversations": [ { "from": "human", "question": "Some friends played a trivia game and recorded their scores. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n4, 2, 3, 7, 3, 5\n\nFirst, count how many numbers are in the group.\n\nThere are 6 numbers.\n\nNow add all the numbers together:\n\n4 + 2 + 3 + 7 + 3 + 5 = 24\n\nNow divide the sum by the number of numbers:\n\n24 ÷ 6 = 4\n\nThe mean is 4.", "answer": "4", "table": "**Trivia game scores**\n\n| Name | Score |\n| --- | --- |\n| Gabby | 4 |\n| Isabelle | 2 |\n| Justin | 3 |\n| Lindsey | 7 |\n| Maura | 3 |\n| Samir | 5 |" } ] }, { "id": "13664", "image": "13664.png", "conversations": [ { "from": "human", "question": "Hakim is a physical therapist who specializes in leg injuries. His patients differ in age and type of injury. What is the probability that a randomly selected patient is 13-19 years old and suffers from knee pain? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the patient is 13-19 years old\" and B be the event \"the patient suffers from knee pain\".\nTo find the probability that a patient is 13-19 years old and suffers from knee pain, first identify the sample space and the event.\nThe outcomes in the sample space are the different patients. Each patient is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the patient is 13-19 years old and suffers from knee pain\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the patient is 13-19 years old and suffers from knee pain\", so look at the table to see how many patients are 13-19 years old and suffer from knee pain.\nThe number of patients who are 13-19 years old and suffer from knee pain is 5.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of patients.\n6 + 5 + 4 + 4 = 19\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{5}{19}\nThe probability that a patient is 13-19 years old and suffers from knee pain is \\frac{5}{19}.", "answer": "5/19", "table": "| | Knee pain | Ankle pain |\n| --- | --- | --- |\n| 0-12 years old | 6 | 4 |\n| 13-19 years old | 5 | 4 |" } ] }, { "id": "13668", "image": "13668.png", "conversations": [ { "from": "human", "question": "Haley went to the store. She bought 3+9/10 pounds of pumpernickel bread crumbs. How much did she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the pumpernickel bread crumbs. Multiply the price per pound by the number of pounds.\n$5 × 3\\frac{9}{10} = $5 × 3.9 = $19.50\nShe spent $19.50.", "answer": "19.50", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pumpernickel bread crumbs | $5 per lb |\n| sourdough bread crumbs | $5 per lb |\n| whole grain bread crumbs | $4 per lb |\n| rye bread crumbs | $5 per lb |" } ] }, { "id": "13670", "image": "13670.png", "conversations": [ { "from": "human", "question": "Joey has $1.33. How much money will Joey have left if he buys a sheet of green paper and a white note card?\n" }, { "from": "gpt", "solution": "Find the total cost of a sheet of green paper and a white note card.\n\n$0.54 + $0.20 = $0.74\n\nNow subtract the total cost from the starting amount.\n\n$1.33 - $0.74 = $0.59\n\nJoey will have $0.59 left.", "answer": "0.59", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| sheet of shiny silver paper | $0.87 |\n| white note card | $0.20 |\n| sheet of blue and yellow paper | $0.25 |\n| sheet of green paper | $0.54 |" } ] }, { "id": "13674", "image": "13674.png", "conversations": [ { "from": "human", "question": "Maddie has $15. How much money will Maddie have left if she buys a plaid scarf and an orange T-shirt?\n" }, { "from": "gpt", "solution": "Find the total cost of a plaid scarf and an orange T-shirt.\n\n$4 + $8 = $12\n\nNow subtract the total cost from the starting amount.\n\n$15 - $12 = $3\n\nMaddie will have $3 left.", "answer": "3", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| plaid scarf | $4 |\n| orange T-shirt | $8 |\n| purple T-shirt | $9 |\n| denim skirt | $7 |\n| black skirt | $6 |\n| long-sleeved shirt | $6 |" } ] }, { "id": "13676", "image": "13676.png", "conversations": [ { "from": "human", "question": "Pablo buys 1/2 of a pound of Canadian bacon. How much does he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the Canadian bacon. Multiply the price per pound by the number of pounds.\n$8 × \\frac{1}{2} = $8 × 0.5 = $4\nHe spends $4.", "answer": "4", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| smoked bacon | $6/lb |\n| pepperoni | $5/lb |\n| Canadian bacon | $8/lb |\n| salami | $3/lb |\n| prosciutto | $3/lb |\n| sliced ham | $5/lb |" } ] }, { "id": "13677", "image": "13677.png", "conversations": [ { "from": "human", "question": "A wilderness retail store asked a consulting company to do an analysis of their hiking shoe customers. The consulting company gathered data from each customer that purchased hiking shoes, and recorded the shoe brand and the customer's level of happiness. What is the probability that a randomly selected customer is pleased and purchased a Footlong shoe? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the customer is pleased\" and B be the event \"the customer purchased a Footlong shoe\".\nTo find the probability that a customer is pleased and purchased a Footlong shoe, first identify the sample space and the event.\nThe outcomes in the sample space are the different customers. Each customer is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the customer is pleased and purchased a Footlong shoe\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the customer is pleased and purchased a Footlong shoe\", so look at the table to see how many customers are pleased and purchased a Footlong shoe.\nThe number of customers who are pleased and purchased a Footlong shoe is 2.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of customers.\n3 + 2 + 2 + 4 = 11\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{2}{11}\nThe probability that a customer is pleased and purchased a Footlong shoe is \\frac{2}{11}.", "answer": "2/11", "table": "| | A Footlong shoe | A Toes Knows shoe |\n| --- | --- | --- |\n| Displeased | 3 | 2 |\n| Pleased | 2 | 4 |" } ] }, { "id": "13679", "image": "13679.png", "conversations": [ { "from": "human", "question": "A food magazine published a listing of local restaurant ratings. How many restaurants were rated exactly 4 points?\n" }, { "from": "gpt", "solution": "For the number 4, the stem is 0, and the leaf is 4. Find the row where the stem is 0. In that row, count all the leaves equal to 4.\n\nYou counted 0 leaves. 0 restaurants were rated exactly 4 points.", "answer": "0", "table": "**Restaurant ratings**\n\n| Stem | Leaf |\n| --- | --- |\n| 0 | 3, 3, 5 |\n| 1 | |\n| 2 | 0 |\n| 3 | |\n| 4 | 8 |\n| 5 | 0 |" } ] }, { "id": "13681", "image": "13681.png", "conversations": [ { "from": "human", "question": "A jeweler in Greenwood examined which metals her customers selected for wedding bands last year. What fraction of the rings sold had a platinum band? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many rings with a platinum band were sold.\n\n620\n\nFind how many rings were sold in total.\n\n620 + 420 + 600 = 1,640\n\nDivide 620 by1,640.\n\n\\frac{620}{1,640}\n\nReduce the fraction.\n\n\\frac{620}{1,640} → \\frac{31}{82}\n\n\\frac{31}{82} of rings with a platinum band were sold.", "answer": "31/82", "table": "**Wedding ring preference**\n\n| Metal | Rings bought |\n| --- | --- |\n| Platinum | 620 |\n| Gold | 420 |\n| Silver | 600 |" } ] }, { "id": "13686", "image": "13686.png", "conversations": [ { "from": "human", "question": "Kenny bought 4 kilograms of strawberry ice cream and 2 kilograms of cherry ice cream. How much did he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the strawberry ice cream. Multiply:\n\n$2.30 × 4 = $9.20\n\nFind the cost of the cherry ice cream. Multiply:\n\n$1.79 × 2 = $3.58\n\nNow find the total cost by adding:\n\n$9.20 + $3.58 = $12.78\n\nHe spent $12.78.", "answer": "12.78", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| strawberry ice cream | $2.30 per kg |\n| cherry ice cream | $1.79 per kg |\n| mint ice cream | $0.95 per kg |\n| coffee ice cream | $1.99 per kg |" } ] }, { "id": "13688", "image": "13688.png", "conversations": [ { "from": "human", "question": "The staff of a game show tracked the performance of all the contestants during the past season. How many people scored exactly 49 points?\n" }, { "from": "gpt", "solution": "For the number 49, the stem is 4, and the leaf is 9. Find the row where the stem is 4. In that row, count all the leaves equal to 9.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 people scored exactly 49 points.", "answer": "3", "table": "**Game show scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 2 |\n| 2 | 3, 3, 5 |\n| 3 | 1, 4, 5, 8 |\n| 4 | 3, 9, 9, 9 |\n| 5 | 1, 9 |\n| 6 | 9 |\n| 7 | 2, 7 |" } ] }, { "id": "13690", "image": "13690.png", "conversations": [ { "from": "human", "question": "Deb, a candy store employee, placed peppermint candies into jars of various sizes. How many jars had exactly 43 peppermint candies?\n" }, { "from": "gpt", "solution": "For the number 43, the stem is 4, and the leaf is 3. Find the row where the stem is 4. In that row, count all the leaves equal to 3.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 jars had exactly 43 peppermint candies.", "answer": "2", "table": "**Peppermint candies per jar**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 4, 5 |\n| 3 | 3, 5, 6, 7, 8 |\n| 4 | 1, 3, 3, 7, 8, 9 |\n| 5 | 9 |\n| 6 | 0, 2, 4, 8 |" } ] }, { "id": "13694", "image": "13694.png", "conversations": [ { "from": "human", "question": "Each bracelet has 5 opals. How many opals are on 3 bracelets?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 15 opals on 3 bracelets.", "answer": "15", "table": "| Number of bracelets | Number of opals |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | ? |" } ] }, { "id": "13704", "image": "13704.png", "conversations": [ { "from": "human", "question": "Lauren has $13.00. How much money will Lauren have left if she buys a red sweater and a denim skirt?\n" }, { "from": "gpt", "solution": "Find the total cost of a red sweater and a denim skirt.\n\n$6.00 + $3.00 = $9.00\n\nNow subtract the total cost from the starting amount.\n\n$13.00 - $9.00 = $4.00\n\nLauren will have $4.00 left.", "answer": "4", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| red sweater | $6.00 |\n| plaid scarf | $7.00 |\n| blue tank top | $6.00 |\n| denim skirt | $3.00 |\n| pair of jeans | $3.00 |\n| long-sleeved shirt | $4.00 |" } ] }, { "id": "13708", "image": "13708.png", "conversations": [ { "from": "human", "question": "A school administrator who was concerned about grade inflation looked over the number of straight-A students from year to year. According to the table, what was the rate of change between 2012 and 2013?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{22 students - 25 students}{2013 - 2012}\n = \\frac{22 students - 25 students}{1 year}\n = \\frac{-3 students}{1 year}\n = -3 students per year\nThe rate of change between 2012 and 2013 was - 3 students per year.", "answer": "-3", "table": "**Straight-A students**\n\n| Year | Students |\n| --- | --- |\n| 2012 | 25 |\n| 2013 | 22 |\n| 2014 | 28 |\n| 2015 | 29 |\n| 2016 | 25 |" } ] }, { "id": "13712", "image": "13712.png", "conversations": [ { "from": "human", "question": "How much money does Rob need to buy 3 blue glass beads?\n" }, { "from": "gpt", "solution": "Find the total cost of 3 blue glass beads by multiplying 3 times the price of a blue glass bead.\n\n$0.72 × 3 = $2.16\n\nRob needs $2.16.", "answer": "2.16", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| brown cat's eye bead | $0.31 |\n| white bead with black spots | $0.58 |\n| green emerald bead | $0.45 |\n| bead with green and blue swirls | $0.18 |\n| blue glass bead | $0.72 |" } ] }, { "id": "13717", "image": "13717.png", "conversations": [ { "from": "human", "question": "David has $7.00. Does he have enough to buy a fish bowl and a dog leash?\n" }, { "from": "gpt", "solution": "Add the price of a fish bowl and the price of a dog leash:\n\n$5.00 + $4.00 = $9.00\n\n$9.00 is more than $7.00. David does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| bag of birdseed | $5.00 |\n| fish bowl | $5.00 |\n| box of dog biscuits | $7.00 |\n| dog bowl | $8.00 |\n| dog leash | $4.00 |" } ] }, { "id": "13726", "image": "13726.png", "conversations": [ { "from": "human", "question": "The art club examined how many cookies each student baked for the bake sale. Together, how many cookies did Gordon and Elijah bake?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nGordon: 361\nElijah: 129\n\nNow add: 361 + 129 = 490.\n\nGordon and Elijah baked 490 cookies.", "answer": "490", "table": "**Cookies baked**\n\n| Name | Number of cookies |\n| --- | --- |\n| Gordon | 361 |\n| Luna | 182 |\n| Elijah | 129 |\n| Travis | 377 |" } ] }, { "id": "13739", "image": "13739.png", "conversations": [ { "from": "human", "question": "How much money does Jen need to buy 2 boxes of crayons and 5 erasers?\n" }, { "from": "gpt", "solution": "Find the cost of 2 boxes of crayons.\n\n$2.88 × 2 = $5.76\n\nFind the cost of 5 erasers.\n\n$1.17 × 5 = $5.85\n\nNow find the total cost.\n\n$5.76 + $5.85 = $11.61\n\nJen needs $11.61.", "answer": "11.61", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| eraser | $1.17 |\n| box of staples | $1.04 |\n| box of crayons | $2.88 |\n| box of envelopes | $1.73 |\n| notebook | $3.25 |\n| box of paper clips | $1.47 |" } ] }, { "id": "13746", "image": "13746.png", "conversations": [ { "from": "human", "question": "Gabe went on a camping trip and logged the number of miles he hiked each day. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n15, 4, 7, 8, 6, 3, 3\n\nFirst, find the greatest number. The greatest number is 15.\n\nNext, find the least number. The least number is 3.\n\nSubtract the least number from the greatest number:\n\n15 − 3 = 12\n\nThe range is 12.", "answer": "12", "table": "**Miles hiked**\n\n| Day | Number of miles |\n| --- | --- |\n| Saturday | 15 |\n| Sunday | 4 |\n| Monday | 7 |\n| Tuesday | 8 |\n| Wednesday | 6 |\n| Thursday | 3 |\n| Friday | 3 |" } ] }, { "id": "13750", "image": "13750.png", "conversations": [ { "from": "human", "question": "Bryan looked over his calendar to see how many times he had soccer practice each month. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 4, 10, 9, 8\n\nFirst, arrange the numbers from least to greatest:\n\n4, 6, 8, 9, 10\n\nNow find the number in the middle.\n\n4, 6, 8, 9, 10\n\nThe number in the middle is 8.\n\nThe median is 8.", "answer": "8", "table": "**Soccer practice**\n\n| Month | Number of practices |\n| --- | --- |\n| October | 6 |\n| November | 4 |\n| March | 10 |\n| April | 9 |\n| May | 8 |" } ] }, { "id": "13756", "image": "13756.png", "conversations": [ { "from": "human", "question": "A pottery factory kept track of the number of broken plates per shipment last week. How many shipments had exactly 75 broken plates?\n" }, { "from": "gpt", "solution": "For the number 75, the stem is 7, and the leaf is 5. Find the row where the stem is 7. In that row, count all the leaves equal to 5.\n\nYou counted 0 leaves. 0 shipments had exactly 75 broken plates.", "answer": "0", "table": "**Broken plates per shipment**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 6 |\n| 3 | 2, 5 |\n| 4 | 3, 4, 9 |\n| 5 | 3 |\n| 6 | 0, 2, 3, 5 |\n| 7 | 8, 9 |\n| 8 | 1, 8, 9 |\n| 9 | 0 |" } ] }, { "id": "13768", "image": "13768.png", "conversations": [ { "from": "human", "question": "The owner of a plant nursery wrote down the number of roses on each bush. How many bushes have at least 30 roses?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 3, 4, 5, 6, and 7.\n\nYou counted 16 leaves, which are blue in the stem-and-leaf plot above. 16 bushes have at least 30 roses.", "answer": "16", "table": "**Roses per bush**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 1, 3, 9 |\n| 4 | 2, 5, 7 |\n| 5 | 1, 2, 5, 7 |\n| 6 | 5, 6, 8 |\n| 7 | 5, 7, 8 |" } ] }, { "id": "13774", "image": "13774.png", "conversations": [ { "from": "human", "question": "How much money does Anthony need to buy 2 pieces of black obsidian and 7 pumice stones?\n" }, { "from": "gpt", "solution": "Find the cost of 2 pieces of black obsidian.\n\n$0.59 × 2 = $1.18\n\nFind the cost of 7 pumice stones.\n\n$0.72 × 7 = $5.04\n\nNow find the total cost.\n\n$1.18 + $5.04 = $6.22\n\nAnthony needs $6.22.", "answer": "6.22", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| piece of black obsidian | $0.59 |\n| orange agate | $0.74 |\n| piece of black mica | $0.26 |\n| pumice stone | $0.72 |" } ] }, { "id": "13783", "image": "13783.png", "conversations": [ { "from": "human", "question": "A museum curator counted the number of paintings in each exhibit at the art museum. How many exhibits have at least 50 paintings but fewer than 90 paintings?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 5, 6, 7, and 8.\n\nYou counted 7 leaves, which are blue in the stem-and-leaf plot above. 7 exhibits have at least 50 paintings but fewer than 90 paintings.", "answer": "7", "table": "**Paintings per exhibit**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1, 3, 7 |\n| 2 | |\n| 3 | 9 |\n| 4 | 7 |\n| 5 | 5, 7 |\n| 6 | 5, 8 |\n| 7 | 5, 9 |\n| 8 | 4 |" } ] }, { "id": "13784", "image": "13784.png", "conversations": [ { "from": "human", "question": "Leslie, who rents properties for a living, measures all the offices in a building she is renting. How many offices are less than 70 square meters?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 3, 4, 5, and 6.\n\nYou counted 12 leaves, which are blue in the stem-and-leaf plot above. 12 offices are less than 70 square meters.", "answer": "12", "table": "**Office sizes (square meters)**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 0, 3, 3, 6, 9 |\n| 4 | 3, 7 |\n| 5 | 2, 3, 5, 5 |\n| 6 | 4 |\n| 7 | 2, 2, 3, 5 |" } ] }, { "id": "13790", "image": "13790.png", "conversations": [ { "from": "human", "question": "How much money does Kinsley need to buy a basketball ticket and a football ticket?\n" }, { "from": "gpt", "solution": "Add the price of a basketball ticket and the price of a football ticket:\n\n$92.75 + $83.53 = $176.28\n\nKinsley needs $176.28.", "answer": "176.28", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| football ticket | $83.53 |\n| tennis ticket | $66.87 |\n| soccer ticket | $89.27 |\n| hockey ticket | $38.10 |\n| basketball ticket | $92.75 |" } ] }, { "id": "13797", "image": "13797.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Lily got on the bus at the famous bridge at 1.15 P.M. What time will she get to the science museum?\n" }, { "from": "gpt", "solution": "Find 1:15 P. M. in the row for the famous bridge. That column shows the schedule for the bus that Lily is on.\n\nLook down the column until you find the row for the science museum.\n\nLily will get to the science museum at 2:15 P. M.", "answer": "2:15 P.M.", "table": "**Tour bus schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 |\n| --- | --- | --- | --- |\n| old building | 9:30 A.M. | 10:00 A.M. | 10:45 A.M. |\n| university campus | 10:30 A.M. | 11:00 A.M. | 11:45 A.M. |\n| skyscraper | 11:00 A.M. | 11:30 A.M. | 12:15 P.M. |\n| famous bridge | 12:00 P.M. | 12:30 P.M. | 1:15 P.M. |\n| science museum | 1:00 P.M. | 1:30 P.M. | 2:15 P.M. |" } ] }, { "id": "13804", "image": "13804.png", "conversations": [ { "from": "human", "question": "How much money does Adele need to buy 6 trips through the Haunted House?\n" }, { "from": "gpt", "solution": "Find the total cost of 6 trips through the Haunted House by multiplying 6 times the price of a trip through the Haunted House.\n\n$4.23 × 6 = $25.38\n\nAdele needs $25.38.", "answer": "25.38", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| ride on the Swinging Ship | $2.42 |\n| ride on the Speedy Coaster | $2.88 |\n| trip through the Haunted House | $4.23 |\n| ride on the Choo-Choo Train | $2.69 |" } ] }, { "id": "13808", "image": "13808.png", "conversations": [ { "from": "human", "question": "Whitney baked cookies each day for a bake sale. How many more cookies did Whitney bake on Thursday than on Saturday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nThursday: 248\nSaturday: 236\n\nNow subtract: 248 - 236 = 12.\n\nWhitney baked 12 more cookies on Thursday.", "answer": "12", "table": "**Cookies baked**\n\n| Day | Number of cookies |\n| --- | --- |\n| Thursday | 248 |\n| Friday | 134 |\n| Saturday | 236 |" } ] }, { "id": "13809", "image": "13809.png", "conversations": [ { "from": "human", "question": "The aquarium's records showed how many tickets were sold in the past 4 days. On which day did the aquarium sell the fewest tickets?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 612.\n\nNow find the corresponding day. Monday corresponds to 612.", "answer": "Monday", "table": "**Tickets sold**\n\n| Day | Number of tickets |\n| --- | --- |\n| Saturday | 658 |\n| Sunday | 665 |\n| Monday | 612 |\n| Tuesday | 615 |" } ] }, { "id": "13813", "image": "13813.png", "conversations": [ { "from": "human", "question": "Ethan, an employee at Gibson's Convenience Store, looked at the sales of each of its soda products. On Friday, which beverage had the highest sales?\n" }, { "from": "gpt", "solution": "Look at the numbers in the Friday column. Find the greatest number in this column.\n\nThe greatest number is $19.00, which is in the Krazy Kola row. On Friday, Krazy Kola had the highest sales.", "answer": "Krazy Kola", "table": "**Convenience store beverage sales**\n\n| Beverage | Thursday | Friday |\n| --- | --- | --- |\n| Krazy Kola | $19 | $19 |\n| Natural Goodness Juice | $10 | $1 |\n| Fizzy Fun | $14 | $12 |" } ] }, { "id": "13814", "image": "13814.png", "conversations": [ { "from": "human", "question": "An Idaho farmer has been monitoring crop prices over time. Per cwt, how much did onions cost in 2005?\n" }, { "from": "gpt", "solution": "First, find the row for onions. Then find the number in the 2005 column.\n\nThis number is $8.00. In 2005, onions cost $8 per cwt.", "answer": "8", "table": "**Idaho crop prices per cwt**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Crop | 2004 | 2005 |\n| Apples | $12 | $18 |\n| Potatoes | $4 | $6 |\n| Onions | $7 | $8 |\n| Timothy seed | $7 | $7 |\n| Lentils | $14 | $12 |" } ] }, { "id": "13815", "image": "13815.png", "conversations": [ { "from": "human", "question": "The local high school found out how many members each club had. Which club has the fewest members?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 118.\n\nNow find the corresponding club. Photography club corresponds to 118.", "answer": "photography club", "table": "**Club membership**\n\n| Club | Number of members |\n| --- | --- |\n| geology club | 185 |\n| photography club | 118 |\n| art club | 158 |\n| Spanish club | 159 |" } ] }, { "id": "13817", "image": "13817.png", "conversations": [ { "from": "human", "question": "Julie purchased 1 pound of pears and 5 pounds of grapes. What was the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the pears. Multiply:\n\n$1.43 × 1 = $1.43\n\nFind the cost of the grapes. Multiply:\n\n$4.76 × 5 = $23.80\n\nNow find the total cost by adding:\n\n$1.43 + $23.80 = $25.23\n\nThe total cost was $25.23.", "answer": "25.23", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| bananas | $1.86 per lb |\n| pears | $1.43 per lb |\n| cherries | $1.94 per lb |\n| grapes | $4.76 per lb |\n| apricots | $2.79 per lb |\n| apples | $0.72 per lb |" } ] }, { "id": "13818", "image": "13818.png", "conversations": [ { "from": "human", "question": "A pizza chef recalled how many pizzas she had made during the past 7 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n23, 33, 28, 5, 7, 19, 14\n\nFirst, find the greatest number. The greatest number is 33.\n\nNext, find the least number. The least number is 5.\n\nSubtract the least number from the greatest number:\n\n33 − 5 = 28\n\nThe range is 28.", "answer": "28", "table": "**Pizzas made**\n\n| Day | Number of pizzas |\n| --- | --- |\n| Sunday | 23 |\n| Monday | 33 |\n| Tuesday | 28 |\n| Wednesday | 5 |\n| Thursday | 7 |\n| Friday | 19 |\n| Saturday | 14 |" } ] }, { "id": "13820", "image": "13820.png", "conversations": [ { "from": "human", "question": "How much money does Stacy need to buy 5 cans of mushrooms?\n" }, { "from": "gpt", "solution": "Find the total cost of 5 cans of mushrooms by multiplying 5 times the price of a can of mushrooms.\n\n$0.77 × 5 = $3.85\n\nStacy needs $3.85.", "answer": "3.85", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| can of fruit cocktail | $0.53 |\n| can of mushrooms | $0.77 |\n| can of pears | $0.58 |\n| jar of pickles | $0.86 |\n| can of corn | $0.97 |" } ] }, { "id": "13821", "image": "13821.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $345, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $345, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $155 | 6,900 | 8,500 |\n| $345 | 6,200 | 10,400 |\n| $535 | 5,500 | 12,300 |\n| $725 | 4,800 | 14,200 |\n| $915 | 4,100 | 16,100 |" } ] }, { "id": "13824", "image": "13824.png", "conversations": [ { "from": "human", "question": "Edward counted the pages in each book on his English class's required reading list. What is the largest number of pages?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 9.\n\nNow find the highest leaf in the last row. The highest leaf is 0.\n\nThe largest number of pages has a stem of 9 and a leaf of 0. Write the stem first, then the leaf: 90.\n\nThe largest number of pages is 90 pages.", "answer": "90", "table": "**Pages per book**\n\n| Stem | Leaf |\n| --- | --- |\n| 5 | 7, 8, 8, 9 |\n| 6 | 1, 6, 6, 8, 9 |\n| 7 | 2, 2, 5, 5, 6 |\n| 8 | 0, 0, 1 |\n| 9 | 0 |" } ] }, { "id": "13826", "image": "13826.png", "conversations": [ { "from": "human", "question": "A candy dispenser put various numbers of orange candies into bags. How many bags had exactly 43 orange candies?\n" }, { "from": "gpt", "solution": "For the number 43, the stem is 4, and the leaf is 3. Find the row where the stem is 4. In that row, count all the leaves equal to 3.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 bags had exactly 43 orange candies.", "answer": "4", "table": "**Orange candies per bag**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 9 |\n| 2 | 4, 6 |\n| 3 | 3 |\n| 4 | 0, 3, 3, 3, 3 |\n| 5 | 1, 6 |\n| 6 | |\n| 7 | 0, 2 |\n| 8 | 9, 9 |\n| 9 | 0 |" } ] }, { "id": "13853", "image": "13853.png", "conversations": [ { "from": "human", "question": "A high school basketball coach counted the number of points her team scored each game. What is the smallest number of points?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 1.\n\nNow find the lowest leaf in the first row. The lowest leaf is 5.\n\nThe smallest number of points has a stem of 1 and a leaf of 5. Write the stem first, then the leaf: 15.\n\nThe smallest number of points is 15 points.", "answer": "15", "table": "**Points per game**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 5, 9 |\n| 2 | 4 |\n| 3 | |\n| 4 | |\n| 5 | |\n| 6 | |\n| 7 | 4, 6, 9 |\n| 8 | |\n| 9 | 0 |" } ] }, { "id": "13861", "image": "13861.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $190, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $190, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $140 | 16,900 | 12,400 |\n| $190 | 13,000 | 13,600 |\n| $240 | 9,100 | 14,800 |\n| $290 | 5,200 | 16,000 |\n| $340 | 1,300 | 17,200 |" } ] }, { "id": "13862", "image": "13862.png", "conversations": [ { "from": "human", "question": "Brian purchased 1.7 pounds of pebbles. What was the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the pebbles. Multiply the price per pound by the number of pounds.\n$2 × 1.7 = $3.40\nThe total cost was $3.40.", "answer": "3.40", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| white sand | $4/pound |\n| coarse gravel | $3/pound |\n| fine gravel | $3/pound |\n| pebbles | $2/pound |\n| black sand | $5/pound |\n| rocks | $4/pound |" } ] }, { "id": "13863", "image": "13863.png", "conversations": [ { "from": "human", "question": "A machine at the candy factory dispensed different numbers of lemon-flavored candies into various bags. What is the smallest number of lemon-flavored candies?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 6.\n\nNow find the lowest leaf in the first row. The lowest leaf is 1.\n\nThe smallest number of lemon-flavored candies has a stem of 6 and a leaf of 1. Write the stem first, then the leaf: 61.\n\nThe smallest number of lemon-flavored candies is 61 lemon-flavored candies.", "answer": "61", "table": "**Lemon-flavored candies per bag**\n\n| Stem | Leaf |\n| --- | --- |\n| 6 | 1, 2, 3, 9 |\n| 7 | 8 |\n| 8 | 3, 5 |\n| 9 | 0 |" } ] }, { "id": "13866", "image": "13866.png", "conversations": [ { "from": "human", "question": "The parks department compared how many soccer fields there are at each park. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n2, 9, 3, 7, 1, 3\n\nFirst, find the greatest number. The greatest number is 9.\n\nNext, find the least number. The least number is 1.\n\nSubtract the least number from the greatest number:\n\n9 − 1 = 8\n\nThe range is 8.", "answer": "8", "table": "**Soccer fields**\n\n| Park | Number of soccer fields |\n| --- | --- |\n| Moon Park | 2 |\n| Juniper Park | 9 |\n| Lighthouse Park | 3 |\n| Windy Hill Park | 7 |\n| Elmhurst Park | 1 |\n| Crane Park | 3 |" } ] }, { "id": "13876", "image": "13876.png", "conversations": [ { "from": "human", "question": "While compiling photos for an album, Chad noted the number of photographs taken by each of his friends and family. How many people took at least 2 photographs?\n" }, { "from": "gpt", "solution": "Find the rows for 2, 3, 4, and 5 photographs. Add the frequencies for these rows.\n\nAdd:\n\n3 + 1 + 5 + 9 = 18\n\n18 people took at least 2 photographs.", "answer": "18", "table": "**Taking photographs**\n\n| Photographs taken | Frequency |\n| --- | --- |\n| 0 | 17 |\n| 1 | 0 |\n| 2 | 3 |\n| 3 | 1 |\n| 4 | 5 |\n| 5 | 9 |" } ] }, { "id": "13889", "image": "13889.png", "conversations": [ { "from": "human", "question": "Helen kept track of the number of characters in each book she read. How many books had at least 30 characters but fewer than 40 characters?\n" }, { "from": "gpt", "solution": "Count all the leaves in the row with stem 3.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 books had at least 30 characters but fewer than 40 characters.", "answer": "3", "table": "**Characters per book**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 3, 3, 8, 9 |\n| 2 | 1, 2, 3, 3, 7 |\n| 3 | 2, 5, 5 |\n| 4 | 0, 7 |\n| 5 | 0, 2, 2, 5, 9 |" } ] }, { "id": "13890", "image": "13890.png", "conversations": [ { "from": "human", "question": "In trying to calculate how much money could be saved by packing lunch, Akira recorded the amount she spent on lunch each day. According to the table, what was the rate of change between Monday and Tuesday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{$7 - $1}{1 day}\n = \\frac{$6}{1 day}\n = $6 perday\nThe rate of change between Monday and Tuesday was $6 perday.", "answer": "6", "table": "**Amount Akira spent on lunch**\n\n| Day | Amount spent |\n| --- | --- |\n| Monday | $1 |\n| Tuesday | $7 |\n| Wednesday | $9 |\n| Thursday | $8 |\n| Friday | $9 |" } ] }, { "id": "13892", "image": "13892.png", "conversations": [ { "from": "human", "question": "As part of a statistics project, a math class weighed all the children who were willing to participate. How many children weighed exactly 10 pounds?\n" }, { "from": "gpt", "solution": "For the number 10, the stem is 1, and the leaf is 0. Find the row where the stem is 1. In that row, count all the leaves equal to 0.\n\nYou counted 1 leaf, which is blue in the stem-and-leaf plot above. 1 child weighed exactly10 pounds.", "answer": "1", "table": "**Children's weights (lbs)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 4, 6, 6 |\n| 2 | 4, 4, 7 |\n| 3 | 1, 8 |\n| 4 | 1, 3, 7 |\n| 5 | 3, 8, 9 |\n| 6 | 0, 1, 2, 3, 5, 7, 7, 7, 7 |" } ] }, { "id": "13894", "image": "13894.png", "conversations": [ { "from": "human", "question": "Savannah counted the number of problems on each of her tests. What is the largest number of problems?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 9.\n\nNow find the highest leaf in the last row. The highest leaf is 0.\n\nThe largest number of problems has a stem of 9 and a leaf of 0. Write the stem first, then the leaf: 90.\n\nThe largest number of problems is 90 problems.", "answer": "90", "table": "**Problems per test**\n\n| Stem | Leaf |\n| --- | --- |\n| 6 | 2, 3, 5, 7, 7, 9 |\n| 7 | 0, 0, 5, 7 |\n| 8 | 2 |\n| 9 | 0 |" } ] }, { "id": "13913", "image": "13913.png", "conversations": [ { "from": "human", "question": "A cookie factory monitored the number of broken cookies per pack yesterday. What is the largest number of broken cookies?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 8.\n\nNow find the highest leaf in the last row. The highest leaf is 5.\n\nThe largest number of broken cookies has a stem of 8 and a leaf of 5. Write the stem first, then the leaf: 85.\n\nThe largest number of broken cookies is 85 broken cookies.", "answer": "85", "table": "**Broken cookies per pack**\n\n| Stem | Leaf |\n| --- | --- |\n| 0 | 7 |\n| 1 | 1, 4, 6 |\n| 2 | 1, 1, 1 |\n| 3 | |\n| 4 | 6 |\n| 5 | 6, 6 |\n| 6 | 4, 4 |\n| 7 | 2 |\n| 8 | 0, 5 |" } ] }, { "id": "13916", "image": "13916.png", "conversations": [ { "from": "human", "question": "Four friends went on a road trip and kept track of how long each of them spent driving. What fraction of the driving was done by Scarlett? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many minutes Scarlett spent driving.\n\n440\n\nFind how many minutes were spent driving in total.\n\n570 + 780 + 440 + 340 = 2,130\n\nDivide 440 by2,130.\n\n\\frac{440}{2,130}\n\nReduce the fraction.\n\n\\frac{440}{2,130} → \\frac{44}{213}\n\n\\frac{44}{213} of minutes Scarlett spent driving.", "answer": "44/213", "table": "**Road trip driving times**\n\n| Name | Minutes spent driving |\n| --- | --- |\n| Leah | 570 |\n| Bernard | 780 |\n| Scarlett | 440 |\n| Isaiah | 340 |" } ] }, { "id": "13920", "image": "13920.png", "conversations": [ { "from": "human", "question": "A school administrator who was concerned about grade inflation looked over the number of straight-A students from year to year. According to the table, what was the rate of change between 2010 and 2011?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{7 students - 8 students}{2011 - 2010}\n = \\frac{7 students - 8 students}{1 year}\n = \\frac{-1 students}{1 year}\n = -1 students per year\nThe rate of change between 2010 and 2011 was - 1 students per year.", "answer": "-1", "table": "**Straight-A students**\n\n| Year | Students |\n| --- | --- |\n| 2007 | 42 |\n| 2008 | 40 |\n| 2009 | 22 |\n| 2010 | 8 |\n| 2011 | 7 |" } ] }, { "id": "13922", "image": "13922.png", "conversations": [ { "from": "human", "question": "At Hillsboro Consulting, the head of human resources examined how the number of employees with health care benefits varied in response to policy changes. According to the table, what was the rate of change between 2016 and 2017?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{47 employees - 47 employees}{2017 - 2016}\n = \\frac{47 employees - 47 employees}{1 year}\n = \\frac{0 employees}{1 year}\n = 0 employees per year\nThe rate of change between 2016 and 2017 was 0 employees per year.", "answer": "0", "table": "**Employees with health care benefits**\n\n| Year | Employees |\n| --- | --- |\n| 2016 | 47 |\n| 2017 | 47 |\n| 2018 | 39 |\n| 2019 | 39 |\n| 2020 | 42 |" } ] }, { "id": "13923", "image": "13923.png", "conversations": [ { "from": "human", "question": "In a study on public parking, the director of transportation counted the number of cars in each of the city's parking lots. How many parking lots had at least 45 cars but fewer than 64 cars?\n" }, { "from": "gpt", "solution": "Find the row with stem 4. Count all the leaves greater than or equal to 5.\n\nCount all the leaves in the row with stem 5.\n\nIn the row with stem 6, count all the leaves less than 4.\n\nYou counted 6 leaves, which are blue in the stem-and-leaf plots above. 6 parking lots had at least 45 cars but fewer than 64 cars.", "answer": "6", "table": "**Cars per parking lot**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 8, 8, 8 |\n| 4 | 3, 6 |\n| 5 | 0, 7, 8, 9 |\n| 6 | 2, 7 |\n| 7 | 1, 2, 4, 5, 9 |" } ] }, { "id": "13939", "image": "13939.png", "conversations": [ { "from": "human", "question": "A dog show enthusiast recorded the weight of the winning dog at recent dog shows. According to the table, what was the rate of change between 2011 and 2012?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{26 kilograms - 23 kilograms}{2012 - 2011}\n = \\frac{26 kilograms - 23 kilograms}{1 year}\n = \\frac{3 kilograms}{1 year}\n = 3 kilograms per year\nThe rate of change between 2011 and 2012 was 3 kilograms per year.", "answer": "3", "table": "**Weight of winning dog at a dog show**\n\n| Year | Weight (kg) |\n| --- | --- |\n| 2008 | 29 |\n| 2009 | 16 |\n| 2010 | 28 |\n| 2011 | 23 |\n| 2012 | 26 |" } ] }, { "id": "13946", "image": "13946.png", "conversations": [ { "from": "human", "question": "The players on a quiz show received the following scores. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 1, 9, 3, 4, 3, 4, 3\n\nFirst, arrange the numbers from least to greatest:\n\n1, 3, 3, 3, 4, 4, 9, 9\n\nNow count how many times each number appears.\n\n1 appears 1 time.\n3 appears 3 times.\n4 appears 2 times.\n9 appears 2 times.\n\nThe number that appears most often is 3.\n\nThe mode is 3.", "answer": "3", "table": "**Quiz show scores**\n\n| Name | Score |\n| --- | --- |\n| Mandy | 9 |\n| Sally | 1 |\n| Rosa | 9 |\n| Zane | 3 |\n| Evelyn | 4 |\n| Javier | 3 |\n| Austin | 4 |\n| Laura | 3 |" } ] }, { "id": "13950", "image": "13950.png", "conversations": [ { "from": "human", "question": "A crayon factory monitored the number of broken crayons per box during the past day. What is the smallest number of broken crayons?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 4.\n\nNow find the lowest leaf in the first row. The lowest leaf is 0.\n\nThe smallest number of broken crayons has a stem of 4 and a leaf of 0. Write the stem first, then the leaf: 40.\n\nThe smallest number of broken crayons is 40 broken crayons.", "answer": "40", "table": "**Broken crayons per box**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 0, 2 |\n| 5 | 0, 5, 7 |\n| 6 | 6 |\n| 7 | 0, 0, 2, 5, 7, 8 |" } ] }, { "id": "13968", "image": "13968.png", "conversations": [ { "from": "human", "question": "Some students compared how many pairs of boots they own. How many students own at least 2 pairs of boots?\n" }, { "from": "gpt", "solution": "Find the rows for 2, 3, and 4 pairs of boots. Add the frequencies for these rows.\n\nAdd:\n\n2 + 4 + 13 = 19\n\n19 students own at least 2 pairs of boots.", "answer": "19", "table": "**Pairs of boots**\n\n| Number of pairs of boots | Frequency |\n| --- | --- |\n| 0 | 1 |\n| 1 | 12 |\n| 2 | 2 |\n| 3 | 4 |\n| 4 | 13 |" } ] }, { "id": "13978", "image": "13978.png", "conversations": [ { "from": "human", "question": "The manager of a party supply store researched how many balloons it sold in the past 7 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n8, 8, 8, 9, 7, 9, 10\n\nFirst, arrange the numbers from least to greatest:\n\n7, 8, 8, 8, 9, 9, 10\n\nNow find the number in the middle.\n\n7, 8, 8, 8, 9, 9, 10\n\nThe number in the middle is 8.\n\nThe median is 8.", "answer": "8", "table": "**Balloons sold**\n\n| Day | Number of balloons |\n| --- | --- |\n| Thursday | 8 |\n| Friday | 8 |\n| Saturday | 8 |\n| Sunday | 9 |\n| Monday | 7 |\n| Tuesday | 9 |\n| Wednesday | 10 |" } ] }, { "id": "13980", "image": "13980.png", "conversations": [ { "from": "human", "question": "A drawing class was assigned a final project where students had to choose one art medium and one subject. The teacher kept track of the types of projects submitted. What is the probability that a randomly selected student used acrylic paint and chose to draw an insect? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the student used acrylic paint\" and B be the event \"the student chose to draw an insect\".\nTo find the probability that a student used acrylic paint and chose to draw an insect, first identify the sample space and the event.\nThe outcomes in the sample space are the different students. Each student is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the student used acrylic paint and chose to draw an insect\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the student used acrylic paint and chose to draw an insect\", so look at the table to see how many students used acrylic paint and chose to draw an insect.\nThe number of students who used acrylic paint and chose to draw an insect is 4.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of students.\n3 + 2 + 4 + 3 = 12\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{4}{12}\n = \\frac{1}{3}\nThe probability that a student used acrylic paint and chose to draw an insect is \\frac{1}{3}.", "answer": "1/3", "table": "| | A plant | An insect |\n| --- | --- | --- |\n| Acrylic paint | 3 | 4 |\n| Chalk | 2 | 3 |" } ] }, { "id": "13985", "image": "13985.png", "conversations": [ { "from": "human", "question": "Each tool box has 2 screwdrivers. How many screwdrivers are in 6 tool boxes?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 12 screwdrivers in 6 tool boxes.", "answer": "12", "table": "| Number of tool boxes | Number of screwdrivers |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | 6 |\n| 4 | 8 |\n| 5 | 10 |\n| 6 | ? |" } ] }, { "id": "13990", "image": "13990.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{12 - 13}{11 - 10}\n = \\frac{-1}{1}\n = -1\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{5 - 12}{12 - 11}\n = \\frac{-7}{1}\n = -7\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 10 | 13 |\n| 11 | 12 |\n| 12 | 5 |" } ] }, { "id": "13992", "image": "13992.png", "conversations": [ { "from": "human", "question": "Paul kept track of how many laps he swam during the past 5 days. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n8, 8, 5, 5, 8\n\nFirst, arrange the numbers from least to greatest:\n\n5, 5, 8, 8, 8\n\nNow count how many times each number appears.\n\n5 appears 2 times.\n8 appears 3 times.\n\nThe number that appears most often is 8.\n\nThe mode is 8.", "answer": "8", "table": "**Laps swum**\n\n| Day | Number of laps |\n| --- | --- |\n| Tuesday | 8 |\n| Wednesday | 8 |\n| Thursday | 5 |\n| Friday | 5 |\n| Saturday | 8 |" } ] }, { "id": "13997", "image": "13997.png", "conversations": [ { "from": "human", "question": "A farmer wrote down how many kilograms of cherries were sold in the past 5 days. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 7, 9, 10, 7\n\nFirst, count how many numbers are in the group.\n\nThere are 5 numbers.\n\nNow add all the numbers together:\n\n7 + 7 + 9 + 10 + 7 = 40\n\nNow divide the sum by the number of numbers:\n\n40 ÷ 5 = 8\n\nThe mean is 8.", "answer": "8", "table": "**Cherries sold**\n\n| Day | Kilograms |\n| --- | --- |\n| Saturday | 7 |\n| Sunday | 7 |\n| Monday | 9 |\n| Tuesday | 10 |\n| Wednesday | 7 |" } ] }, { "id": "14011", "image": "14011.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{10 - 12}{17 - 16}\n = \\frac{-2}{1}\n = -2\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{8 - 10}{18 - 17}\n = \\frac{-2}{1}\n = -2\nThe two rates of change are the same.\n2.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 16 | 12 |\n| 17 | 10 |\n| 18 | 8 |" } ] }, { "id": "14012", "image": "14012.png", "conversations": [ { "from": "human", "question": "In a recent election at Pruitt University, three people ran for student body president. What fraction of votes were for Tristan? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many votes were for Tristan.\n\n370\n\nFind how many votes there were in total.\n\n290 + 840 + 370 = 1,500\n\nDivide 370 by1,500.\n\n\\frac{370}{1,500}\n\nReduce the fraction.\n\n\\frac{370}{1,500} → \\frac{37}{150}\n\n\\frac{37}{150} of votes were for Tristan.", "answer": "37/150", "table": "**Election results**\n\n| Candidate | Votes |\n| --- | --- |\n| Austen | 290 |\n| Carmen | 840 |\n| Tristan | 370 |" } ] }, { "id": "14013", "image": "14013.png", "conversations": [ { "from": "human", "question": "Hector looked over his calendar to see how many times he had soccer practice each month. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n5, 4, 6, 5, 5, 4\n\nFirst, arrange the numbers from least to greatest:\n\n4, 4, 5, 5, 5, 6\n\nNow count how many times each number appears.\n\n4 appears 2 times.\n5 appears 3 times.\n6 appears 1 time.\n\nThe number that appears most often is 5.\n\nThe mode is 5.", "answer": "5", "table": "**Soccer practice**\n\n| Month | Number of practices |\n| --- | --- |\n| July | 5 |\n| August | 4 |\n| September | 6 |\n| October | 5 |\n| November | 5 |\n| March | 4 |" } ] }, { "id": "14026", "image": "14026.png", "conversations": [ { "from": "human", "question": "Three of the sports teams from Stafford High School decided to raise funds to buy new sports equipment. What fraction of the funds were raised by the baseball team? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how much money was raised by the baseball.\n\n770\n\nFind how much money were raised in total.\n\n940 + 770 + 510 = 2,220\n\nDivide 770 by2,220.\n\n\\frac{770}{2,220}\n\nReduce the fraction.\n\n\\frac{770}{2,220} → \\frac{77}{222}\n\n\\frac{77}{222} of Find how much money was raised by the baseball.", "answer": "77/222", "table": "**Sports equipment fundraising**\n\n| Team | Funds raised ($) |\n| --- | --- |\n| Soccer | 940 |\n| Baseball | 770 |\n| Track | 510 |" } ] }, { "id": "14030", "image": "14030.png", "conversations": [ { "from": "human", "question": "A business magazine surveyed its readers about their commute times. How many commutes are at least 85 minutes but less than 88 minutes?\n" }, { "from": "gpt", "solution": "Find the row with stem 8. Count all the leaves greater than or equal to 5 and less than 8.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 commutes are at least 85 minutes but less than 88 minutes.", "answer": "3", "table": "**Commute time (minutes)**\n\n| Stem | Leaf |\n| --- | --- |\n| 6 | 1, 1, 1, 1, 2, 4, 5, 8, 9 |\n| 7 | 0, 1, 1, 4, 6 |\n| 8 | 4, 6, 7, 7, 8, 9 |\n| 9 | 0 |" } ] }, { "id": "14033", "image": "14033.png", "conversations": [ { "from": "human", "question": "The manager of a party supply store researched how many balloons it sold in the past 6 days. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n74, 78, 74, 71, 72, 75\n\nFirst, count how many numbers are in the group.\n\nThere are 6 numbers.\n\nNow add all the numbers together:\n\n74 + 78 + 74 + 71 + 72 + 75 = 444\n\nNow divide the sum by the number of numbers:\n\n444 ÷ 6 = 74\n\nThe mean is 74.", "answer": "74", "table": "**Balloons sold**\n\n| Day | Number of balloons |\n| --- | --- |\n| Saturday | 74 |\n| Sunday | 78 |\n| Monday | 74 |\n| Tuesday | 71 |\n| Wednesday | 72 |\n| Thursday | 75 |" } ] }, { "id": "14041", "image": "14041.png", "conversations": [ { "from": "human", "question": "Every summer, Josiah goes on a week-long canoe trip with his childhood camp friends. After the trip, he usually purchases some oars from the destination city. His collection of oars is organized by year and type of wood. What is the probability that a randomly selected oar was made from spruce wood and was purchased in 2010? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the oar was made from spruce wood\" and B be the event \"the oar was purchased in 2010\".\nTo find the probability that a oar was made from spruce wood and was purchased in 2010, first identify the sample space and the event.\nThe outcomes in the sample space are the different oars. Each oar is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the oar was made from spruce wood and was purchased in 2010\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the oar was made from spruce wood and was purchased in 2010\", so look at the table to see how many oars were made from spruce wood and were purchased in 2010.\nThe number of oars that were made from spruce wood and were purchased in 2010 is 3.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of oars.\n3 + 3 + 6 + 6 = 18\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{3}{18}\n = \\frac{1}{6}\nThe probability that a oar was made from spruce wood and was purchased in 2010 is \\frac{1}{6}.", "answer": "1/6", "table": "| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| | 2010 | 2011 |\n| Spruce wood | 3 | 6 |\n| Ash wood | 3 | 6 |" } ] }, { "id": "14042", "image": "14042.png", "conversations": [ { "from": "human", "question": "How much money does Philip need to buy a cheese pizza and spaghetti and meatballs?\n" }, { "from": "gpt", "solution": "Add the price of a cheese pizza and the price of spaghetti and meatballs:\n\n$6 + $5 = $11\n\nPhilip needs $11.", "answer": "11", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pasta with white sauce | $6 |\n| spaghetti and meatballs | $5 |\n| grilled eggplant | $4 |\n| cheese pizza | $6 |\n| green salad | $7 |" } ] }, { "id": "14047", "image": "14047.png", "conversations": [ { "from": "human", "question": "Professor Dickerson compiled the scores from the last quiz. How many students scored less than 8?\n" }, { "from": "gpt", "solution": "Find the rows for 5, 6, and 7. Add the frequencies for these rows.\n\nAdd:\n\n12 + 19 + 2 = 33\n\n33 students scored less than 8.", "answer": "33", "table": "**Scores on the last quiz**\n\n| Score | Frequency |\n| --- | --- |\n| 5 | 12 |\n| 6 | 19 |\n| 7 | 2 |\n| 8 | 13 |\n| 9 | 11 |\n| 10 | 10 |" } ] }, { "id": "14050", "image": "14050.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does Fourth Grade Choir begin?\n" }, { "from": "gpt", "solution": "Find Fourth Grade Choir on the schedule. Find the beginning time for Fourth Grade Choir.\n\nFourth Grade Choir: 1:35 P. M.", "answer": "1:35 P.M.", "table": "**Music teacher's schedule**\n\n| Class | Begin | End |\n| --- | --- | --- |\n| Writing Music | 9:35 A.M. | 11:05 A.M. |\n| Fifth Grade Choir | 11:20 A.M. | 12:20 P.M. |\n| Orchestra | 12:35 P.M. | 1:25 P.M. |\n| Fourth Grade Choir | 1:35 P.M. | 3:10 P.M. |\n| Music Appreciation | 3:20 P.M. | 4:45 P.M. |" } ] }, { "id": "14052", "image": "14052.png", "conversations": [ { "from": "human", "question": "To figure out how many vacation days she had left to use, Regan looked over her old calendars to figure out how many days of vacation she had taken each year. According to the table, what was the rate of change between 2008 and 2009?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{24 vacation days - 23 vacation days}{2009 - 2008}\n = \\frac{24 vacation days - 23 vacation days}{1 year}\n = \\frac{1 vacation day}{1 year}\n = 1 vacation day per year\nThe rate of change between 2008 and 2009 was 1 vacation day per year.", "answer": "1", "table": "**Vacation days taken by Regan**\n\n| Year | Vacation days |\n| --- | --- |\n| 2008 | 23 |\n| 2009 | 24 |\n| 2010 | 12 |\n| 2011 | 18 |\n| 2012 | 15 |" } ] }, { "id": "14054", "image": "14054.png", "conversations": [ { "from": "human", "question": "An administrator at the Department of Motor Vehicles (DMV) tracked the average wait time from month to month. According to the table, what was the rate of change between July and August?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{34 minutes - 41 minutes}{1 month}\n = \\frac{-7 minutes}{1 month}\n = -7 minutes per month\nThe rate of change between July and August was - 7 minutes per month.", "answer": "-7", "table": "**Average waiting time at the DMV**\n\n| Month | Waiting time (minutes) |\n| --- | --- |\n| June | 36 |\n| July | 41 |\n| August | 34 |\n| September | 28 |\n| October | 36 |" } ] }, { "id": "14061", "image": "14061.png", "conversations": [ { "from": "human", "question": "In a recent election at McKnight University, three people ran for student body president. What fraction of votes were for Brad? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many votes were for Brad.\n\n380\n\nFind how many votes there were in total.\n\n330 + 380 + 390 = 1,100\n\nDivide 380 by1,100.\n\n\\frac{380}{1,100}\n\nReduce the fraction.\n\n\\frac{380}{1,100} → \\frac{19}{55}\n\n\\frac{19}{55} of votes were for Brad.", "answer": "19/55", "table": "**Election results**\n\n| Candidate | Votes |\n| --- | --- |\n| Caleb | 330 |\n| Brad | 380 |\n| Lexi | 390 |" } ] }, { "id": "14065", "image": "14065.png", "conversations": [ { "from": "human", "question": "A food critic counted the number of menu items at each restaurant in town. How many restaurants have exactly 34 menu items?\n" }, { "from": "gpt", "solution": "For the number 34, the stem is 3, and the leaf is 4. Find the row where the stem is 3. In that row, count all the leaves equal to 4.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 restaurants have exactly 34 menu items.", "answer": "2", "table": "**Menu items per restaurant**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 4, 6, 7, 9 |\n| 2 | 3, 3, 3, 4, 8 |\n| 3 | 4, 4, 5, 7, 8 |\n| 4 | 5, 9 |\n| 5 | 0, 3, 6, 7 |" } ] }, { "id": "14075", "image": "14075.png", "conversations": [ { "from": "human", "question": "The members of the local garden club tallied the number of plants in each person's garden. How many gardens have at least 60 plants but fewer than 70 plants?\n" }, { "from": "gpt", "solution": "Count all the leaves in the row with stem 6.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 gardens have at least 60 plants but fewer than 70 plants.", "answer": "2", "table": "**Plants per garden**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 2 |\n| 2 | 0, 5 |\n| 3 | |\n| 4 | |\n| 5 | 9, 9 |\n| 6 | 1, 7 |" } ] }, { "id": "14076", "image": "14076.png", "conversations": [ { "from": "human", "question": "Victor, an employee at Roth's Convenience Store, looked at the sales of each of its soda products. How much did the convenience store make from Sweet Sips sales on Friday?\n" }, { "from": "gpt", "solution": "First, find the row for Sweet Sips. Then find the number in the Friday column.\n\nThis number is $1.00. The convenience store made $1 from Sweet Sips sales on Friday.", "answer": "1", "table": "**Convenience store beverage sales**\n\n| Beverage | Thursday | Friday |\n| --- | --- | --- |\n| Pearl's Soda | $11 | $20 |\n| Natural Goodness Juice | $2 | $11 |\n| Sweet Sips | $11 | $1 |\n| Kickin' Coffee | $6 | $4 |" } ] }, { "id": "14090", "image": "14090.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which game ends at 11.30 A.M.?\n" }, { "from": "gpt", "solution": "Find 11:30 A. M. on the schedule. The Waves versus Alligators game ends at 11:30 A. M.", "answer": "Waves versus Alligators game", "table": "**Soccer tournament schedule**\n\n| Game | Begin | End |\n| --- | --- | --- |\n| Waves versus Alligators | 10:00 A.M. | 11:30 A.M. |\n| Dolphins versus Bears | 10:40 A.M. | 12:10 P.M. |\n| Thunder versus Eagles | 11:15 A.M. | 12:45 P.M. |\n| Sharks versus Storm | 11:30 A.M. | 1:00 P.M. |\n| Lions versus Blue Jays | 11:45 A.M. | 1:15 P.M. |\n| Lightning versus Coyotes | 12:10 P.M. | 1:40 P.M. |\n| Fire versus Blizzard | 1:05 P.M. | 2:35 P.M. |\n| Hawks versus Jaguars | 1:30 P.M. | 3:00 P.M. |\n| Cardinals versus Cobras | 2:25 P.M. | 3:55 P.M. |" } ] }, { "id": "14096", "image": "14096.png", "conversations": [ { "from": "human", "question": "Each branch has 5 flowers. How many flowers are on 6 branches?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 30 flowers on 6 branches.", "answer": "30", "table": "| Number of branches | Number of flowers |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | 20 |\n| 5 | 25 |\n| 6 | ? |" } ] }, { "id": "14107", "image": "14107.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{13 - 18}{8 - 7}\n = \\frac{-5}{1}\n = -5\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{8 - 18}{9 - 7}\n = \\frac{-10}{2}\n = -5\nThe two rates of change are the same.\n5.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 7 | 18 |\n| 8 | 13 |\n| 9 | 8 |" } ] }, { "id": "14112", "image": "14112.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Gwen is at the boat docks. If she wants to arrive at the pizza place at 2.00 P.M., what time should she get on the bus?\n" }, { "from": "gpt", "solution": "Look at the row for the pizza place. Find the bus that arrives at the pizza place at 2:00 P. M.\n\nLook up the column until you find the row for the boat docks.\n\nGwen should get on the bus at 12:30 P. M.", "answer": "12:30 P.M.", "table": "**Hotel shuttle bus schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 | Column 5 | Column 6 |\n| --- | --- | --- | --- | --- | --- |\n| softball field | 9:15 A.M. | 9:30 A.M. | 9:45 A.M. | 10:00 A.M. | 11:00 A.M. |\n| train station | 10:15 A.M. | 10:30 A.M. | 10:45 A.M. | 11:00 A.M. | 12:00 P.M. |\n| football stadium | 10:30 A.M. | 10:45 A.M. | 11:00 A.M. | 11:15 A.M. | 12:15 P.M. |\n| park | 11:00 A.M. | 11:15 A.M. | 11:30 A.M. | 11:45 A.M. | 12:45 P.M. |\n| boat docks | 11:45 A.M. | 12:00 P.M. | 12:15 P.M. | 12:30 P.M. | 1:30 P.M. |\n| bus station | 12:30 P.M. | 12:45 P.M. | 1:00 P.M. | 1:15 P.M. | 2:15 P.M. |\n| pizza place | 1:15 P.M. | 1:30 P.M. | 1:45 P.M. | 2:00 P.M. | 3:00 P.M. |" } ] }, { "id": "14117", "image": "14117.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which activity begins at 8.25 A.M.?\n" }, { "from": "gpt", "solution": "Find 8:25 A. M. on the schedule. The ice skating class begins at 8:25 A. M.", "answer": "ice skating class", "table": "**Winter lodge schedule**\n\n| Activity | Begin | End |\n| --- | --- | --- |\n| ice skating class | 8:25 A.M. | 9:05 A.M. |\n| family ice skating | 9:15 A.M. | 10:55 A.M. |\n| advanced snowboard class | 11:10 A.M. | 11:45 A.M. |\n| advanced ski class | 11:55 A.M. | 12:50 P.M. |\n| snowshoe adventure | 1:00 P.M. | 1:55 P.M. |\n| figure skating | 2:25 P.M. | 4:05 P.M. |\n| beginning ski class | 4:10 P.M. | 5:45 P.M. |\n| cross-country ski tour | 6:05 P.M. | 7:40 P.M. |\n| beginning snowboard class | 8:05 P.M. | 9:05 P.M. |" } ] }, { "id": "14120", "image": "14120.png", "conversations": [ { "from": "human", "question": "The owner of a bed and breakfast inn recalled how many guests the inn had hosted each day. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n5, 13, 13, 5, 13\n\nFirst, arrange the numbers from least to greatest:\n\n5, 5, 13, 13, 13\n\nNow count how many times each number appears.\n\n5 appears 2 times.\n13 appears 3 times.\n\nThe number that appears most often is 13.\n\nThe mode is 13.", "answer": "13", "table": "**Inn guests**\n\n| Day | Number of guests |\n| --- | --- |\n| Wednesday | 5 |\n| Thursday | 13 |\n| Friday | 13 |\n| Saturday | 5 |\n| Sunday | 13 |" } ] }, { "id": "14121", "image": "14121.png", "conversations": [ { "from": "human", "question": "Some students in a biology class compared how many times they went to the park last week to work on their plant research projects. How many students are there in all?\n" }, { "from": "gpt", "solution": "Add the frequencies for each row.\n\nAdd:\n\n13 + 17 + 2 + 4 + 12 = 48\n\nThere are 48 students in all.", "answer": "48", "table": "**Trips to the park last week**\n\n| Number of trips | Frequency |\n| --- | --- |\n| 0 | 13 |\n| 1 | 17 |\n| 2 | 2 |\n| 3 | 4 |\n| 4 | 12 |" } ] }, { "id": "14127", "image": "14127.png", "conversations": [ { "from": "human", "question": "For an assignment, Johnny looked at which countries got the most Nobel Prizes in various decades. In the 1990s, how many more Nobel Prize winners did Canada have than Italy?\n" }, { "from": "gpt", "solution": "Find the 1990 s column. Find the numbers in this column for Canada and Italy.\n\nCanada: 8\nItaly: 1\n\nNow subtract:\n\n8 − 1 = 7\n\nCanada had 7 more Nobel Prize winners in the 1990 s than Italy.", "answer": "7", "table": "**Nobel Prize winners**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 1980s | 1990s |\n| Germany | 11 | 7 |\n| Italy | 3 | 1 |\n| Canada | 3 | 8 |" } ] }, { "id": "14128", "image": "14128.png", "conversations": [ { "from": "human", "question": "While doing a project for P. E. class, Carmen researched the number of athletes competing in an international sporting event. How many countries have at least 36 athletes but fewer than 66 athletes?\n" }, { "from": "gpt", "solution": "Find the row with stem 3. Count all the leaves greater than or equal to 6.\n\nCount all the leaves in the rows with stems 4 and 5.\n\nIn the row with stem 6, count all the leaves less than 6.\n\nYou counted 16 leaves, which are blue in the stem-and-leaf plots above. 16 countries have at least 36 athletes but fewer than 66 athletes.", "answer": "16", "table": "**Athletes per country**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 1, 4, 6, 6 |\n| 3 | 2, 6, 8, 9, 9 |\n| 4 | 0, 6, 8, 9 |\n| 5 | 0, 4 |\n| 6 | 0, 3, 4, 5, 5, 5, 6, 6, 7, 8 |" } ] }, { "id": "14135", "image": "14135.png", "conversations": [ { "from": "human", "question": "If Brennan buys 5 pounds of Fuji apples, 2 pounds of Gala apples, and 4 pounds of Pink Lady apples, how much will he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the Fuji apples. Multiply:\n\n$1.23 × 5 = $6.15\n\nFind the cost of the Gala apples. Multiply:\n\n$0.86 × 2 = $1.72\n\nFind the cost of the Pink Lady apples. Multiply:\n\n$1.86 × 4 = $7.44\n\nNow find the total cost by adding:\n\n$6.15 + $1.72 + $7.44 = $15.31\n\nHe will spend $15.31.", "answer": "15.31", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| Pink Lady apples | $1.86 per lb |\n| Fuji apples | $1.23 per lb |\n| Gala apples | $0.86 per lb |\n| Washington apples | $1.31 per lb |\n| Cameo apples | $1.74 per lb |" } ] }, { "id": "14137", "image": "14137.png", "conversations": [ { "from": "human", "question": "A nutritionist designing a healthy lunch menu asked students at Kingwood Elementary School to vote for their favorite fruits. How many more girls voted for bananas than pears?\n" }, { "from": "gpt", "solution": "Find the Girls column. Find the numbers in this column for bananas and pears.\n\nbananas: 19\npears: 5\n\nNow subtract:\n\n19 − 5 = 14\n\n14 more girls voted for bananas than pears.", "answer": "14", "table": "**Favorite fruits**\n\n| Fruit | Girls | Boys |\n| --- | --- | --- |\n| Peaches | 18 | 20 |\n| Apples | 15 | 12 |\n| Bananas | 19 | 7 |\n| Pears | 5 | 4 |" } ] }, { "id": "14146", "image": "14146.png", "conversations": [ { "from": "human", "question": "Each lake has 10 ducks. How many ducks are in 5 lakes?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 50 ducks in 5 lakes.", "answer": "50", "table": "| Number of lakes | Number of ducks |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | 40 |\n| 5 | ? |" } ] }, { "id": "14162", "image": "14162.png", "conversations": [ { "from": "human", "question": "Ms. Walter reported her students' scores on the most recent quiz. How many students scored exactly 68 points?\n" }, { "from": "gpt", "solution": "For the number 68, the stem is 6, and the leaf is 8. Find the row where the stem is 6. In that row, count all the leaves equal to 8.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 students scored exactly 68 points.", "answer": "3", "table": "**Quiz scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 3, 5 |\n| 5 | 6 |\n| 6 | 8, 8, 8, 9 |\n| 7 | 0, 7 |\n| 8 | 6 |\n| 9 | 0 |" } ] }, { "id": "14168", "image": "14168.png", "conversations": [ { "from": "human", "question": "For a math assignment, Maura researched the scores of the people competing on her favorite quiz show. How many people scored at least 62 points but fewer than 95 points?\n" }, { "from": "gpt", "solution": "Find the row with stem 6. Count all the leaves greater than or equal to 2.\n\nCount all the leaves in the rows with stems 7 and 8.\n\nIn the row with stem 9, count all the leaves less than 5.\n\nYou counted 7 leaves, which are blue in the stem-and-leaf plots above. 7 people scored at least 62 points but fewer than 95 points.", "answer": "7", "table": "**Quiz show scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 3 |\n| 5 | 7, 8, 9 |\n| 6 | 1, 2, 7 |\n| 7 | 1 |\n| 8 | 5, 6, 9 |\n| 9 | 0 |" } ] }, { "id": "14169", "image": "14169.png", "conversations": [ { "from": "human", "question": "Greenwood requires all dogs to be registered with the city and keeps records of the distribution of different breeds. What fraction of dogs registered with the city are Boxers? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find the number of Boxers that are registered with the city.\n\n780\n\nFind the total number of dogs that are registered with the city.\n\n1,000 + 780 + 850 + 140 + 420 = 3,190\n\nDivide 780 by 3,190.\n\n\\frac{780}{3,190}\n\nReduce the fraction.\n\n\\frac{780}{3,190} → \\frac{78}{319}\n\n\\frac{78}{319} of Find the number of Boxers that are registered with the city.", "answer": "78/319", "table": "**Dog ownership**\n\n| Breed | Number of dogs registered |\n| --- | --- |\n| Golden Retrievers | 1,000 |\n| Boxers | 780 |\n| Beagles | 850 |\n| German Shepherds | 140 |\n| Other | 420 |" } ] }, { "id": "14170", "image": "14170.png", "conversations": [ { "from": "human", "question": "Aaliyah went on a vacation to an amusement park and counted how many rides she went on each day. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 9, 8, 8, 9, 10, 7\n\nFirst, arrange the numbers from least to greatest:\n\n6, 7, 8, 8, 9, 9, 10\n\nNow find the number in the middle.\n\n6, 7, 8, 8, 9, 9, 10\n\nThe number in the middle is 8.\n\nThe median is 8.", "answer": "8", "table": "**Amusement park rides**\n\n| Day | Number of rides |\n| --- | --- |\n| Saturday | 6 |\n| Sunday | 9 |\n| Monday | 8 |\n| Tuesday | 8 |\n| Wednesday | 9 |\n| Thursday | 10 |\n| Friday | 7 |" } ] }, { "id": "14177", "image": "14177.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{12 - 19}{14 - 13}\n = \\frac{-7}{1}\n = -7\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{3 - 19}{15 - 13}\n = \\frac{-16}{2}\n = -8\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 13 | 19 |\n| 14 | 12 |\n| 15 | 3 |" } ] }, { "id": "14193", "image": "14193.png", "conversations": [ { "from": "human", "question": "Mr. Sandoval, the marine biology teacher, asked his students how many times they went to the beach last summer. How many students are there in all?\n" }, { "from": "gpt", "solution": "Add the frequencies for each row.\n\nAdd:\n\n2 + 15 + 3 + 14 + 5 + 10 = 49\n\nThere are 49 students in all.", "answer": "49", "table": "**Trips to the beach last summer**\n\n| Number of trips | Frequency |\n| --- | --- |\n| 0 | 2 |\n| 1 | 15 |\n| 2 | 3 |\n| 3 | 14 |\n| 4 | 5 |\n| 5 | 10 |" } ] }, { "id": "14195", "image": "14195.png", "conversations": [ { "from": "human", "question": "Several people compared how many Web pages they had visited. Who visited the most Web pages?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 772.\n\nNow find the corresponding person. Britney corresponds to 772.", "answer": "Britney", "table": "**Web pages visited**\n\n| Person | Number of Web pages |\n| --- | --- |\n| Ellen | 716 |\n| Lara | 717 |\n| Spencer | 761 |\n| Britney | 772 |" } ] }, { "id": "14199", "image": "14199.png", "conversations": [ { "from": "human", "question": "Dustin kept a log of how many pages he read each month. In which month did Dustin read the fewest pages?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 421.\n\nNow find the corresponding month. December corresponds to 421.", "answer": "December", "table": "**Pages read**\n\n| Month | Number of pages |\n| --- | --- |\n| December | 421 |\n| January | 442 |\n| February | 464 |\n| March | 462 |" } ] }, { "id": "14201", "image": "14201.png", "conversations": [ { "from": "human", "question": "Liz's Treats counted how many times its most frequent customers ate ice cream last month. How many customers are there in all?\n" }, { "from": "gpt", "solution": "Add the frequencies for each row.\n\nAdd:\n\n8 + 17 + 9 + 20 + 0 = 54\n\nThere are 54 customers in all.", "answer": "54", "table": "**Eating ice cream last month**\n\n| Times eaten | Frequency |\n| --- | --- |\n| 0 | 8 |\n| 1 | 17 |\n| 2 | 9 |\n| 3 | 20 |\n| 4 | 0 |" } ] }, { "id": "14206", "image": "14206.png", "conversations": [ { "from": "human", "question": "Linda has $106.00. Does she have enough to buy a chinchilla and a bearded dragon?\n" }, { "from": "gpt", "solution": "Add the price of a chinchilla and the price of a bearded dragon:\n\n$82.00 + $19.00 = $101.00\n\n$101.00 is less than $106.00. Linda does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| king snake | $97.00 |\n| chinchilla | $82.00 |\n| rabbit | $79.00 |\n| bearded dragon | $19.00 |\n| chameleon | $76.00 |\n| tree frog | $39.00 |" } ] }, { "id": "14215", "image": "14215.png", "conversations": [ { "from": "human", "question": "Each plate has 5 carrots. How many carrots are on 5 plates?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 25 carrots on 5 plates.", "answer": "25", "table": "| Number of plates | Number of carrots |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | 20 |\n| 5 | ? |" } ] }, { "id": "14217", "image": "14217.png", "conversations": [ { "from": "human", "question": "Sandeep went to the store and bought 4/5 of a pound of glass beads. How much did he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the glass beads. Multiply the price per pound by the number of pounds.\n$6 × \\frac{4}{5} = $6 × 0.8 = $4.80\nHe spent $4.80.", "answer": "4.80", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| paper beads | $6/pound |\n| plastic beads | $10/pound |\n| metal beads | $12/pound |\n| glass beads | $6/pound |\n| wooden beads | $12/pound |" } ] }, { "id": "14218", "image": "14218.png", "conversations": [ { "from": "human", "question": "The members of the science club shared how many times they had been to the zoo last year. How many members went to the zoo at least 1 time?\n" }, { "from": "gpt", "solution": "Find the rows for 1, 2, 3, 4, and 5 times. Add the frequencies for these rows.\n\nAdd:\n\n4 + 6 + 16 + 1 + 19 = 46\n\n46 members went to the zoo at least 1 time.", "answer": "46", "table": "**Trips to the zoo last year**\n\n| Number of trips | Frequency |\n| --- | --- |\n| 0 | 8 |\n| 1 | 4 |\n| 2 | 6 |\n| 3 | 16 |\n| 4 | 1 |\n| 5 | 19 |" } ] }, { "id": "14219", "image": "14219.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. At which stop does the train arrive at 9.00 A.M.?\n" }, { "from": "gpt", "solution": "Find 9:00 A. M. on the schedule. The train arrives at Madison Avenue at 9:00 A. M.", "answer": "Madison Avenue", "table": "**Subway train schedule**\n\n| Location | Time |\n| --- | --- |\n| Madison Avenue | 9:00 A.M. |\n| Smith Boulevard | 9:15 A.M. |\n| River Boulevard | 10:05 A.M. |\n| Locust Street | 10:30 A.M. |\n| Spring Boulevard | 11:00 A.M. |\n| Sycamore Street | 11:25 A.M. |\n| Franklin Road | 11:45 A.M. |\n| Sunset Road | 12:25 P.M. |\n| Lakeview Boulevard | 1:05 P.M. |" } ] }, { "id": "14221", "image": "14221.png", "conversations": [ { "from": "human", "question": "Darnell went to the store. He bought 1+7/10 kilograms of tomato sauce. How much did he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the tomato sauce. Multiply the price per kilogram by the number of kilograms.\n$2 × 1\\frac{7}{10} = $2 × 1.7 = $3.40\nHe spent $3.40.", "answer": "3.40", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| tomato sauce | $2 per kg |\n| marinara sauce | $2 per kg |\n| alfredo sauce | $2 per kg |\n| pesto sauce | $2 per kg |" } ] }, { "id": "14224", "image": "14224.png", "conversations": [ { "from": "human", "question": "A hardware store monitored how many hammers it sold in the past 4 days. On which day did the store sell the most hammers?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 87.\n\nNow find the corresponding day. Sunday corresponds to 87.", "answer": "Sunday", "table": "**Hammers sold**\n\n| Day | Number of hammers |\n| --- | --- |\n| Thursday | 84 |\n| Friday | 83 |\n| Saturday | 81 |\n| Sunday | 87 |" } ] }, { "id": "14230", "image": "14230.png", "conversations": [ { "from": "human", "question": "A veterinarian in Lakewood treats a number of different kinds of animals every year. What fraction of pets treated were rabbits? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many rabbits were treated.\n\n370\n\nFind how many pets were treated in total.\n\n370 + 650 + 460 = 1,480\n\nDivide 370 by1,480.\n\n\\frac{370}{1,480}\n\nReduce the fraction.\n\n\\frac{370}{1,480} → \\frac{1}{4}\n\n\\frac{1}{4} of rabbits were treated.", "answer": "1/4", "table": "**Pets treated by the vet**\n\n| Pet | Number of cases |\n| --- | --- |\n| Rabbits | 370 |\n| Cats | 650 |\n| Other | 460 |" } ] }, { "id": "14231", "image": "14231.png", "conversations": [ { "from": "human", "question": "How much money does Belle need to buy a green salad, grilled eggplant, and pasta with white sauce?\n" }, { "from": "gpt", "solution": "Find the total cost of a green salad, grilled eggplant, and pasta with white sauce.\n\n$6.00 + $7.00 + $8.00 = $21.00\n\nBelle needs $21.00.", "answer": "21", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| spaghetti and meatballs | $7.00 |\n| grilled eggplant | $7.00 |\n| pasta with white sauce | $8.00 |\n| green salad | $6.00 |" } ] }, { "id": "14239", "image": "14239.png", "conversations": [ { "from": "human", "question": "The staff of a newspaper examined the number of copies sold over the past 4 days. On which day were the most copies sold?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 991.\n\nNow find the corresponding day. Thursday corresponds to 991.", "answer": "Thursday", "table": "**Newspapers sold**\n\n| Day | Number of newspapers |\n| --- | --- |\n| Wednesday | 971 |\n| Thursday | 991 |\n| Friday | 917 |\n| Saturday | 979 |" } ] }, { "id": "14252", "image": "14252.png", "conversations": [ { "from": "human", "question": "Valeria buys 3.2 pounds of African rice. What is the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the African rice. Multiply the price per pound by the number of pounds.\n$4 × 3.2 = $12.80\nThe total cost is $12.80.", "answer": "12.80", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| African rice | $4/lb |\n| basmati rice | $5/lb |\n| white rice | $7/lb |\n| brown rice | $8/lb |\n| sticky rice | $5/lb |" } ] }, { "id": "14255", "image": "14255.png", "conversations": [ { "from": "human", "question": "Each shelf has 2 pairs of scissors. How many pairs of scissors are on 6 shelves?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 12 pairs of scissors on 6 shelves.", "answer": "12", "table": "| Number of shelves | Number of pairs of scissors |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | 6 |\n| 4 | 8 |\n| 5 | 10 |\n| 6 | ? |" } ] }, { "id": "14258", "image": "14258.png", "conversations": [ { "from": "human", "question": "How much money does Jamal need to buy 9 African safari vacation packages?\n" }, { "from": "gpt", "solution": "Find the total cost of 9 African safari vacation packages by multiplying 9 times the price of an African safari vacation package.\n\n$2,151 × 9 = $19,359\n\nJamal needs $19,359.", "answer": "19,359", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| Hawaiian vacation package | $8,390 |\n| African safari vacation package | $2,151 |\n| Jamaican vacation package | $4,139 |\n| Caribbean vacation package | $2,864 |" } ] }, { "id": "14260", "image": "14260.png", "conversations": [ { "from": "human", "question": "Several children compared how many thank-you notes they had written during the previous month. How many children wrote fewer than 2 thank-you notes?\n" }, { "from": "gpt", "solution": "Find the rows for 0 and 1 thank-you note. Add the frequencies for these rows.\n\nAdd:\n\n2 + 20 = 22\n\n22 children wrote fewer than 2 thank-you notes.", "answer": "22", "table": "**Writing thank-you notes**\n\n| Thank-you notes written | Frequency |\n| --- | --- |\n| 0 | 2 |\n| 1 | 20 |\n| 2 | 16 |\n| 3 | 4 |" } ] }, { "id": "14267", "image": "14267.png", "conversations": [ { "from": "human", "question": "Sofia has $28.00. Does she have enough to buy a crossword puzzle book and a mystery novel?\n" }, { "from": "gpt", "solution": "Add the price of a crossword puzzle book and the price of a mystery novel:\n\n$15.00 + $13.00 = $28.00\n\nSince Sofia has $28.00, she has just enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| spelling workbook | $11.00 |\n| science book | $19.00 |\n| poetry book | $10.00 |\n| crossword puzzle book | $15.00 |\n| mystery novel | $13.00 |\n| geography book | $12.00 |" } ] }, { "id": "14268", "image": "14268.png", "conversations": [ { "from": "human", "question": "A county agency recorded the money donated to several charitable causes over time. How much more money was raised for education in March than in April?\n" }, { "from": "gpt", "solution": "Find the Education row. Find the numbers in this row for March and April.\n\nMarch: $19.00\nApril: $14.00\n\nNow subtract:\n\n$19.00 − $14.00 = $5.00\n\n$5 more was raised for education in March than in April.", "answer": "5", "table": "**Donations received**\n\n| Cause | March | April |\n| --- | --- | --- |\n| Education | $19 | $14 |\n| Parks | $4 | $6 |\n| Animals | $2 | $8 |\n| Medical research | $19 | $17 |" } ] }, { "id": "14272", "image": "14272.png", "conversations": [ { "from": "human", "question": "Sebastian tracked the maximum daily wind speed for 5 days. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n10, 7, 10, 10, 7\n\nFirst, arrange the numbers from least to greatest:\n\n7, 7, 10, 10, 10\n\nNow count how many times each number appears.\n\n7 appears 2 times.\n10 appears 3 times.\n\nThe number that appears most often is 10.\n\nThe mode is 10.", "answer": "10", "table": "**Daily wind speed**\n\n| Day | Wind speed (miles per hour) |\n| --- | --- |\n| Tuesday | 10 |\n| Wednesday | 7 |\n| Thursday | 10 |\n| Friday | 10 |\n| Saturday | 7 |" } ] }, { "id": "14274", "image": "14274.png", "conversations": [ { "from": "human", "question": "Josie, a fantasy football fan, carefully studied the number of touchdowns completed by her favorite players last season. How many players scored at least 1 touchdown last season?\n" }, { "from": "gpt", "solution": "Find the rows for 1, 2, 3, 4, and 5 touchdowns last season. Add the frequencies for these rows.\n\nAdd:\n\n20 + 15 + 10 + 0 + 1 = 46\n\n46 players scored at least 1 touchdown last season.", "answer": "46", "table": "**Football touchdowns scored last season**\n\n| Touchdowns scored | Frequency |\n| --- | --- |\n| 0 | 8 |\n| 1 | 20 |\n| 2 | 15 |\n| 3 | 10 |\n| 4 | 0 |\n| 5 | 1 |" } ] }, { "id": "14276", "image": "14276.png", "conversations": [ { "from": "human", "question": "Colette, an employee at Lloyd's Convenience Store, looked at the sales of each of its soda products. How much did the convenience store make from Kickin' Coffee sales on Saturday?\n" }, { "from": "gpt", "solution": "First, find the row for Kickin' Coffee. Then find the number in the Saturday column.\n\nThis number is $10.00. The convenience store made $10 from Kickin' Coffee sales on Saturday.", "answer": "10", "table": "**Convenience store beverage sales**\n\n| Beverage | Saturday | Sunday |\n| --- | --- | --- |\n| Pearl's Soda | $13 | $7 |\n| Kickin' Coffee | $10 | $4 |\n| Fizzy Fun | $19 | $20 |" } ] }, { "id": "14287", "image": "14287.png", "conversations": [ { "from": "human", "question": "Each bracelet has 5 blue beads. How many blue beads are on 6 bracelets?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 30 blue beads on 6 bracelets.", "answer": "30", "table": "| Number of bracelets | Number of blue beads |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | 20 |\n| 5 | 25 |\n| 6 | ? |" } ] }, { "id": "14293", "image": "14293.png", "conversations": [ { "from": "human", "question": "How much more does a hammer cost than a lawn sprinkler?\n" }, { "from": "gpt", "solution": "Subtract the price of a lawn sprinkler from the price of a hammer.\n\n$20.66 - $17.91 = $2.75\n\nA hammer costs $2.75 more than a lawn sprinkler.", "answer": "2.75", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| lawn sprinkler | $17.91 |\n| lawn mower | $30.94 |\n| hammer | $20.66 |\n| watering can | $11.07 |" } ] }, { "id": "14302", "image": "14302.png", "conversations": [ { "from": "human", "question": "An athlete counted how many autographs he signed each day. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n10, 3, 3, 2, 6, 7, 6\n\nFirst, arrange the numbers from least to greatest:\n\n2, 3, 3, 6, 6, 7, 10\n\nNow find the number in the middle.\n\n2, 3, 3, 6, 6, 7, 10\n\nThe number in the middle is 6.\n\nThe median is 6.", "answer": "6", "table": "**Autographs signed**\n\n| Day | Number of autographs |\n| --- | --- |\n| Friday | 10 |\n| Saturday | 3 |\n| Sunday | 3 |\n| Monday | 2 |\n| Tuesday | 6 |\n| Wednesday | 7 |\n| Thursday | 6 |" } ] }, { "id": "14312", "image": "14312.png", "conversations": [ { "from": "human", "question": "A farmer recalled how many watermelons were harvested in the past 5 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n17, 44, 46, 27, 28\n\nFirst, find the greatest number. The greatest number is 46.\n\nNext, find the least number. The least number is 17.\n\nSubtract the least number from the greatest number:\n\n46 − 17 = 29\n\nThe range is 29.", "answer": "29", "table": "**Watermelons harvested**\n\n| Day | Number of watermelons |\n| --- | --- |\n| Tuesday | 17 |\n| Wednesday | 44 |\n| Thursday | 46 |\n| Friday | 27 |\n| Saturday | 28 |" } ] }, { "id": "14319", "image": "14319.png", "conversations": [ { "from": "human", "question": "How much more does a garnet ring cost than an emerald pendant?\n" }, { "from": "gpt", "solution": "Subtract the price of an emerald pendant from the price of a garnet ring.\n\n$917 - $746 = $171\n\nA garnet ring costs $171 more than an emerald pendant.", "answer": "171", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| garnet ring | $917 |\n| emerald pendant | $746 |\n| opal ring | $854 |\n| topaz bracelet | $823 |" } ] }, { "id": "14322", "image": "14322.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{10 - 20}{8 - 7}\n = \\frac{-10}{1}\n = -10\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{0 - 10}{9 - 8}\n = \\frac{-10}{1}\n = -10\nThe two rates of change are the same.\n10.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 7 | 20 |\n| 8 | 10 |\n| 9 | 0 |" } ] }, { "id": "14333", "image": "14333.png", "conversations": [ { "from": "human", "question": "Colleen bought 3 pounds of sage. How much did she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the sage. Multiply the price per pound by the number of pounds.\n\n$4 × 3 = $12\n\nShe spent $12.", "answer": "12", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| cilantro | $5 per lb |\n| thyme | $5 per lb |\n| rosemary | $6 per lb |\n| sage | $4 per lb |\n| oregano | $6 per lb |\n| mint | $7 per lb |" } ] }, { "id": "14336", "image": "14336.png", "conversations": [ { "from": "human", "question": "A transportation analyst compared various bridges' tolls. On the George Washington bridge, how much more is the toll for a truck than for a car?\n" }, { "from": "gpt", "solution": "Find the George Washington row. Find the numbers in this row for truck and car.\n\ntruck: $16.00\ncar: $8.00\n\nNow subtract:\n\n$16.00 − $8.00 = $8.00\n\nOn the George Washington bridge, the toll for a truck is $8 higher than the toll for a car.", "answer": "8", "table": "**Bridge tolls**\n\n| Bridge | Truck | Car |\n| --- | --- | --- |\n| Golden Gate | $7 | $6 |\n| San Mateo | $6 | $4 |\n| George Washington | $16 | $8 |" } ] }, { "id": "14338", "image": "14338.png", "conversations": [ { "from": "human", "question": "Mrs. Kirby, the science teacher, informed her students of their scores on Monday's test. How many students scored exactly 62 points?\n" }, { "from": "gpt", "solution": "For the number 62, the stem is 6, and the leaf is 2. Find the row where the stem is 6. In that row, count all the leaves equal to 2.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 students scored exactly 62 points.", "answer": "4", "table": "**Science test scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 5 | 7, 9 |\n| 6 | 0, 1, 2, 2, 2, 2 |\n| 7 | 0, 2, 7 |\n| 8 | 0, 7, 7 |\n| 9 | 0 |" } ] }, { "id": "14339", "image": "14339.png", "conversations": [ { "from": "human", "question": "A zoologist counted the number of reptiles at each of the state's zoos. How many crocodiles are there at the Pacific Zoo?\n" }, { "from": "gpt", "solution": "First, find the row for Pacific Zoo. Then find the number in the Crocodiles column.\n\nThis number is 8. The Pacific Zoo has 8 crocodiles.", "answer": "8", "table": "**Reptiles in zoos**\n\n| Zoo | Crocodiles | Lizards |\n| --- | --- | --- |\n| Eastern Zoo | 12 | 14 |\n| Pacific Zoo | 8 | 20 |\n| South Zoo | 3 | 2 |\n| Northside Zoo | 11 | 16 |" } ] }, { "id": "14341", "image": "14341.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{11 - 20}{8 - 7}\n = \\frac{-9}{1}\n = -9\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{9 - 20}{9 - 7}\n = \\frac{-11}{2}\n = -5\\frac{1}{2}\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 7 | 20 |\n| 8 | 11 |\n| 9 | 9 |" } ] }, { "id": "14345", "image": "14345.png", "conversations": [ { "from": "human", "question": "Each restaurant table has 5 bowls. How many bowls are on 3 restaurant tables?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 15 bowls on 3 restaurant tables.", "answer": "15", "table": "| Number of restaurant tables | Number of bowls |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | ? |" } ] }, { "id": "14349", "image": "14349.png", "conversations": [ { "from": "human", "question": "A veterinarian weighed all the dogs that visited his office last month. How many dogs weighed at least 11 pounds?\n" }, { "from": "gpt", "solution": "Find the row with stem 1. Count all the leaves greater than or equal to 1.\n\nCount all the leaves in the rows with stems 2, 3, 4, 5, 6, 7, 8, and 9.\n\nYou counted 6 leaves, which are blue in the stem-and-leaf plots above. 6 dogs weighed at least 11 pounds.", "answer": "6", "table": "**Dogs' weights (lbs)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 8 |\n| 2 | |\n| 3 | 8 |\n| 4 | |\n| 5 | 5 |\n| 6 | |\n| 7 | 3 |\n| 8 | 3 |\n| 9 | 0 |" } ] }, { "id": "14357", "image": "14357.png", "conversations": [ { "from": "human", "question": "During health class, the students reported the number of times they ate fast food last month. How many students ate fast food more than 1 time?\n" }, { "from": "gpt", "solution": "Find the rows for 2 and 3 times. Add the frequencies for these rows.\n\nAdd:\n\n3 + 1 = 4\n\n4 students ate fast food more than 1 time.", "answer": "4", "table": "**Eating fast food last month**\n\n| Times eaten | Frequency |\n| --- | --- |\n| 0 | 15 |\n| 1 | 17 |\n| 2 | 3 |\n| 3 | 1 |" } ] }, { "id": "14359", "image": "14359.png", "conversations": [ { "from": "human", "question": "A pottery factory kept track of the number of broken plates per shipment last week. How many shipments had at least 49 broken plates but less than 56 broken plates?\n" }, { "from": "gpt", "solution": "Find the row with stem 4. Count all the leaves greater than or equal to 9.\n\nIn the row with stem 5, count all the leaves less than 6.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plots above. 3 shipments had at least 49 broken plates but less than 56 broken plates.", "answer": "3", "table": "**Broken plates per shipment**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 4 |\n| 2 | 4, 5 |\n| 3 | 2, 7, 8 |\n| 4 | 9, 9 |\n| 5 | 2 |\n| 6 | |\n| 7 | 5 |\n| 8 | 0, 1, 6 |\n| 9 | 0 |" } ] }, { "id": "14368", "image": "14368.png", "conversations": [ { "from": "human", "question": "Malia has $1.00. Does she have enough to buy a pack of white tissue paper and a sheet of animal stickers?\n" }, { "from": "gpt", "solution": "Add the price of a pack of white tissue paper and the price of a sheet of animal stickers:\n\n$0.75 + $0.25 = $1.00\n\nSince Malia has $1.00, she has just enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| sewing needle | $0.28 |\n| shiny red button | $0.11 |\n| pack of white tissue paper | $0.75 |\n| sheet of animal stickers | $0.25 |" } ] }, { "id": "14373", "image": "14373.png", "conversations": [ { "from": "human", "question": "A mail carrier counted how many pieces of mail she delivered each day. On which day did the mail carrier deliver the fewest pieces of mail?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 742.\n\nNow find the corresponding day. Tuesday corresponds to 742.", "answer": "Tuesday", "table": "**Pieces of mail delivered**\n\n| Day | Number of pieces of mail |\n| --- | --- |\n| Saturday | 779 |\n| Monday | 749 |\n| Tuesday | 742 |\n| Wednesday | 794 |" } ] }, { "id": "14383", "image": "14383.png", "conversations": [ { "from": "human", "question": "Lila has $31.00. Does she have enough to buy a beach blanket and a yellow bath towel?\n" }, { "from": "gpt", "solution": "Add the price of a beach blanket and the price of a yellow bath towel:\n\n$10.00 + $19.00 = $29.00\n\n$29.00 is less than $31.00. Lila does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| yellow bath towel | $19.00 |\n| beach blanket | $10.00 |\n| flannel sheet | $22.00 |\n| pillow | $15.00 |\n| beach towel | $11.00 |" } ] }, { "id": "14386", "image": "14386.png", "conversations": [ { "from": "human", "question": "A creative writing class compiled a list of their favorite superheroes. They listed each superhero's superpower and personality flaw. What is the probability that a randomly selected superhero is forgetful and can fly? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the superhero is forgetful\" and B be the event \"the superhero can fly\".\nTo find the probability that a superhero is forgetful and can fly, first identify the sample space and the event.\nThe outcomes in the sample space are the different superheroes. Each superhero is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the superhero is forgetful and can fly\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the superhero is forgetful and can fly\", so look at the table to see how many superheroes are forgetful and can fly.\nThe number of superheroes who are forgetful and can fly is 6.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of superheroes.\n6 + 7 + 6 + 1 = 20\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{6}{20}\n = \\frac{3}{10}\nThe probability that a superhero is forgetful and can fly is \\frac{3}{10}.", "answer": "3/10", "table": "| | Fly | Read minds |\n| --- | --- | --- |\n| Forgetful | 6 | 6 |\n| Lazy | 7 | 1 |" } ] }, { "id": "14388", "image": "14388.png", "conversations": [ { "from": "human", "question": "A movie theater manager counted the number of tickets sold each month. How many tickets did the theater sell in all in September and November?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nSeptember: 2,143\nNovember: 2,567\n\nNow add: 2,143 + 2,567 = 4,710.\n\nThe theater sold 4,710 tickets in September and November.", "answer": "4,710", "table": "**Tickets sold**\n\n| Month | Number of tickets |\n| --- | --- |\n| August | 1,930 |\n| September | 2,143 |\n| October | 4,819 |\n| November | 2,567 |" } ] }, { "id": "14395", "image": "14395.png", "conversations": [ { "from": "human", "question": "Jaylen purchased 1.5 pounds of size 4 screws. What was the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the size 4 screws. Multiply the price per pound by the number of pounds.\n$5 × 1.5 = $7.50\nThe total cost was $7.50.", "answer": "7.50", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| size 5 screws | $6/lb |\n| size 1 screws | $9/lb |\n| size 4 screws | $5/lb |\n| size 6 screws | $5/lb |\n| size 2 screws | $7/lb |" } ] }, { "id": "14406", "image": "14406.png", "conversations": [ { "from": "human", "question": "Juan went on a bird watching trip and jotted down the number of birds he saw each day. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n2, 6, 7, 8, 7\n\nFirst, find the greatest number. The greatest number is 8.\n\nNext, find the least number. The least number is 2.\n\nSubtract the least number from the greatest number:\n\n8 − 2 = 6\n\nThe range is 6.", "answer": "6", "table": "**Number of birds**\n\n| Day | Number of birds |\n| --- | --- |\n| Sunday | 2 |\n| Monday | 6 |\n| Tuesday | 7 |\n| Wednesday | 8 |\n| Thursday | 7 |" } ] }, { "id": "14407", "image": "14407.png", "conversations": [ { "from": "human", "question": "The houses in Allie's town get their water from a local reservoir. Allie and a group of engineers monitor the water level for safety and health reasons. The change in water level over two months is shown in the table. During which month did the water level change more?\n" }, { "from": "gpt", "solution": "A positive change means the water level went up. A negative change means the water level went down.\nTo find the month the water level changed more, use absolute value. Absolute value tells you how much the water level changed each month.\nApril: |-6| = 6\nMay: |4| = 4\nThe water level went down 6 inches in April, and it only went up 4 inches in May. The water level changed more in April.", "answer": "April", "table": "| Month | Change in water level (in.) |\n| --- | --- |\n| April | -6 |\n| May | 4 |" } ] }, { "id": "14421", "image": "14421.png", "conversations": [ { "from": "human", "question": "Lola buys 1.4 pounds of lace scraps. What is the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the lace scraps. Multiply the price per pound by the number of pounds.\n$12 × 1.4 = $16.80\nThe total cost is $16.80.", "answer": "16.80", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| silk scraps | $8 per lb |\n| lace scraps | $12 per lb |\n| denim scraps | $9 per lb |\n| felt scraps | $10 per lb |\n| canvas scraps | $10 per lb |" } ] }, { "id": "14435", "image": "14435.png", "conversations": [ { "from": "human", "question": "Lamar recalled how many goals he had made in soccer practice each day. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 10, 8, 6, 9\n\nFirst, count how many numbers are in the group.\n\nThere are 5 numbers.\n\nNow add all the numbers together:\n\n7 + 10 + 8 + 6 + 9 = 40\n\nNow divide the sum by the number of numbers:\n\n40 ÷ 5 = 8\n\nThe mean is 8.", "answer": "8", "table": "**Goals made**\n\n| Day | Number of goals |\n| --- | --- |\n| Saturday | 7 |\n| Sunday | 10 |\n| Monday | 8 |\n| Tuesday | 6 |\n| Wednesday | 9 |" } ] }, { "id": "14437", "image": "14437.png", "conversations": [ { "from": "human", "question": "In hopes of raising more funds for arts education, some parents in the Booneville School District publicized the current per-student arts education budget. According to the table, what was the rate of change between 2018 and 2019?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{$20 - $16}{2019 - 2018}\n = \\frac{$20 - $16}{1 year}\n = \\frac{$4}{1 year}\n = $4 per year\nThe rate of change between 2018 and 2019 was $4 per year.", "answer": "4", "table": "**Booneville arts education budget**\n\n| Year | Per-student budget |\n| --- | --- |\n| 2016 | $19 |\n| 2017 | $18 |\n| 2018 | $16 |\n| 2019 | $20 |\n| 2020 | $21 |" } ] }, { "id": "14443", "image": "14443.png", "conversations": [ { "from": "human", "question": "Hunter counted the number of pairs of shoes for sale at each of the shoe stores in the mall. How many stores have exactly 90 pairs of shoes?\n" }, { "from": "gpt", "solution": "For the number 90, the stem is 9, and the leaf is 0. Find the row where the stem is 9. In that row, count all the leaves equal to 0.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 stores have exactly 90 pairs of shoes.", "answer": "4", "table": "**Pairs of shoes per store**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 5, 6, 6 |\n| 4 | 0, 2 |\n| 5 | 0, 1, 1, 2, 4 |\n| 6 | 3, 3 |\n| 7 | 3, 4 |\n| 8 | 2, 3, 4, 7, 8 |\n| 9 | 0, 0, 0, 0 |" } ] }, { "id": "14444", "image": "14444.png", "conversations": [ { "from": "human", "question": "Each restaurant table has 10 bowls. How many bowls are on 6 restaurant tables?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 60 bowls on 6 restaurant tables.", "answer": "60", "table": "| Number of restaurant tables | Number of bowls |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | 40 |\n| 5 | 50 |\n| 6 | ? |" } ] }, { "id": "14458", "image": "14458.png", "conversations": [ { "from": "human", "question": "As part of a math lab, Darell tracked the number of times his classmates drew a number between 2 and 8. Which number was drawn the fewest times?\n" }, { "from": "gpt", "solution": "Look at the frequency column. Find the least frequency. The least frequency is 0, which is in the row for 4. 4 was drawn the fewest times.", "answer": "4", "table": "**Drawing a card between 2 and 8**\n\n| Number drawn | Frequency |\n| --- | --- |\n| 2 | 14 |\n| 3 | 13 |\n| 4 | 0 |\n| 5 | 19 |\n| 6 | 7 |\n| 7 | 12 |\n| 8 | 16 |" } ] }, { "id": "14474", "image": "14474.png", "conversations": [ { "from": "human", "question": "The players on a quiz show received the following scores. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n73, 70, 79, 66, 82, 97, 79\n\nFirst, find the greatest number. The greatest number is 97.\n\nNext, find the least number. The least number is 66.\n\nSubtract the least number from the greatest number:\n\n97 − 66 = 31\n\nThe range is 31.", "answer": "31", "table": "**Quiz show scores**\n\n| Name | Score |\n| --- | --- |\n| Turner | 73 |\n| William | 70 |\n| Alexa | 79 |\n| Neil | 66 |\n| Marie | 82 |\n| Ruben | 97 |\n| Sally | 79 |" } ] }, { "id": "14478", "image": "14478.png", "conversations": [ { "from": "human", "question": "Jamie has $9.50. Does he have enough to buy an orange T-shirt and a pair of boots?\n" }, { "from": "gpt", "solution": "Add the price of an orange T-shirt and the price of a pair of boots:\n\n$2.35 + $7.39 = $9.74\n\n$9.74 is more than $9.50. Jamie does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| black jacket | $6.74 |\n| denim jacket | $7.07 |\n| red sweater | $8.08 |\n| orange T-shirt | $2.35 |\n| pair of boots | $7.39 |" } ] }, { "id": "14488", "image": "14488.png", "conversations": [ { "from": "human", "question": "A transportation analyst compared various bridges' tolls. Of the bridges shown, which charges the least for a truck?\n" }, { "from": "gpt", "solution": "Look at the numbers in the Truck column. Find the least number in this column.\n\nThe least number is $4.00, which is in the Tacoma Narrows row. The Tacoma Narrows bridge charges the least for a truck.", "answer": "Tacoma Narrows", "table": "**Bridge tolls**\n\n| Bridge | Truck | Car |\n| --- | --- | --- |\n| San Mateo | $6 | $4 |\n| Tacoma Narrows | $4 | $3 |\n| Hatem | $10 | $5 |" } ] }, { "id": "14495", "image": "14495.png", "conversations": [ { "from": "human", "question": "The week of her birthday, Tessa paid attention to how many pieces of mail she received each day. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n3, 19, 5, 12, 4\n\nFirst, arrange the numbers from least to greatest:\n\n3, 4, 5, 12, 19\n\nNow find the number in the middle.\n\n3, 4, 5, 12, 19\n\nThe number in the middle is 5.\n\nThe median is 5.", "answer": "5", "table": "**Pieces of mail received**\n\n| Day | Number of pieces of mail |\n| --- | --- |\n| Wednesday | 3 |\n| Thursday | 19 |\n| Friday | 5 |\n| Saturday | 12 |\n| Monday | 4 |" } ] }, { "id": "14500", "image": "14500.png", "conversations": [ { "from": "human", "question": "Mr. Oliver, the marine biology teacher, asked his students how many times they went to the beach last summer. How many students are there in all?\n" }, { "from": "gpt", "solution": "Add the frequencies for each row.\n\nAdd:\n\n18 + 5 + 12 + 19 = 54\n\nThere are 54 students in all.", "answer": "54", "table": "**Trips to the beach last summer**\n\n| Number of trips | Frequency |\n| --- | --- |\n| 0 | 18 |\n| 1 | 5 |\n| 2 | 12 |\n| 3 | 19 |" } ] }, { "id": "14503", "image": "14503.png", "conversations": [ { "from": "human", "question": "Maya spent a week at the beach and recorded the number of shells she found each day. According to the table, what was the rate of change between Monday and Tuesday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{1 shell - 7 shells}{1 day}\n = \\frac{-6 shells}{1 day}\n = -6 shells per day\nThe rate of change between Monday and Tuesday was - 6 shells per day.", "answer": "-6", "table": "**Shells Maya found**\n\n| Day | Number of shells |\n| --- | --- |\n| Sunday | 4 |\n| Monday | 7 |\n| Tuesday | 1 |\n| Wednesday | 8 |\n| Thursday | 0 |" } ] }, { "id": "14504", "image": "14504.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which class ends at 5.45 P.M.?\n" }, { "from": "gpt", "solution": "Find 5:45 P. M. on the schedule. European History class ends at 5:45 P. M.", "answer": "European History class", "table": "**Class schedule**\n\n| Subject | Begin | End |\n| --- | --- | --- |\n| Russian | 8:10 A.M. | 9:40 A.M. |\n| Ancient Civilizations | 10:20 A.M. | 11:45 A.M. |\n| Plant Biology | 12:20 P.M. | 1:45 P.M. |\n| Advanced Algebra | 2:10 P.M. | 3:00 P.M. |\n| Japanese | 3:40 P.M. | 5:00 P.M. |\n| European History | 5:10 P.M. | 5:45 P.M. |" } ] }, { "id": "14506", "image": "14506.png", "conversations": [ { "from": "human", "question": "Donald buys 5 kilograms of star-shaped beads, 1 kilogram of spherical beads, and 4 kilograms of flower-shaped beads. What is the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the star-shaped beads. Multiply:\n\n$3 × 5 = $15\n\nFind the cost of the spherical beads. Multiply:\n\n$3 × 1 = $3\n\nFind the cost of the flower-shaped beads. Multiply:\n\n$3 × 4 = $12\n\nNow find the total cost by adding:\n\n$15 + $3 + $12 = $30\n\nThe total cost is $30.", "answer": "30", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| star-shaped beads | $3 per kilogram |\n| square beads | $3 per kilogram |\n| heart-shaped beads | $2 per kilogram |\n| flower-shaped beads | $3 per kilogram |\n| spherical beads | $3 per kilogram |\n| oval beads | $2 per kilogram |" } ] }, { "id": "14508", "image": "14508.png", "conversations": [ { "from": "human", "question": "How much more does an antique hand-painted trunk cost than an antique cherry bookcase?\n" }, { "from": "gpt", "solution": "Subtract the price of an antique cherry bookcase from the price of an antique hand-painted trunk.\n\n$4,502.00 - $3,411.00 = $1,091.00\n\nAn antique hand-painted trunk costs $1,091.00 more than an antique cherry bookcase.", "answer": "1,091", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| antique walnut buffet | $2,328.00 |\n| antique cherry bookcase | $3,411.00 |\n| antique oak writing desk | $2,907.00 |\n| antique hand-painted trunk | $4,502.00 |" } ] }, { "id": "14509", "image": "14509.png", "conversations": [ { "from": "human", "question": "The teachers at a middle school counted how many computers they had in their classrooms. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 6, 4, 7, 4, 9, 4, 7\n\nFirst, arrange the numbers from least to greatest:\n\n4, 4, 4, 6, 7, 7, 9, 9\n\nNow count how many times each number appears.\n\n4 appears 3 times.\n6 appears 1 time.\n7 appears 2 times.\n9 appears 2 times.\n\nThe number that appears most often is 4.\n\nThe mode is 4.", "answer": "4", "table": "**Computers in classrooms**\n\n| Teacher | Number of computers |\n| --- | --- |\n| Mrs. Rossi | 9 |\n| Mrs. Tan | 6 |\n| Mr. Lim | 4 |\n| Ms. Cohen | 7 |\n| Mrs. Jansen | 4 |\n| Mr. Schmidt | 9 |\n| Ms. Rojas | 4 |\n| Mr. Watson | 7 |" } ] }, { "id": "14510", "image": "14510.png", "conversations": [ { "from": "human", "question": "Emily has $34.00. Does she have enough to buy a swimsuit and a badminton set?\n" }, { "from": "gpt", "solution": "Add the price of a swimsuit and the price of a badminton set:\n\n$18.00 + $16.00 = $34.00\n\nSince Emily has $34.00, she has just enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| tennis racquet | $13.00 |\n| badminton set | $16.00 |\n| swimsuit | $18.00 |\n| fishing pole | $24.00 |\n| football | $10.00 |" } ] }, { "id": "14520", "image": "14520.png", "conversations": [ { "from": "human", "question": "The local high school found out how many members each club had. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 9, 8, 9, 8\n\nFirst, arrange the numbers from least to greatest:\n\n8, 8, 9, 9, 9\n\nNow count how many times each number appears.\n\n8 appears 2 times.\n9 appears 3 times.\n\nThe number that appears most often is 9.\n\nThe mode is 9.", "answer": "9", "table": "**Club membership**\n\n| Club | Number of members |\n| --- | --- |\n| Japanese club | 9 |\n| film club | 9 |\n| history club | 8 |\n| speech club | 9 |\n| French club | 8 |" } ] }, { "id": "14527", "image": "14527.png", "conversations": [ { "from": "human", "question": "Colton has $9. Does he have enough to buy a yellow T-shirt and a pair of jeans?\n" }, { "from": "gpt", "solution": "Add the price of a yellow T-shirt and the price of a pair of jeans:\n\n$6 + $5 = $11\n\n$11 is more than $9. Colton does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pair of shorts | $5 |\n| blue shirt | $7 |\n| pair of jeans | $5 |\n| yellow T-shirt | $6 |\n| long-sleeved shirt | $7 |\n| blue sweater | $6 |" } ] }, { "id": "14528", "image": "14528.png", "conversations": [ { "from": "human", "question": "Each year the Middletown School District publishes its annual budget, which includes information on the sports program's per-student spending. According to the table, what was the rate of change between 2018 and 2019?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{$45 - $44}{2019 - 2018}\n = \\frac{$45 - $44}{1 year}\n = \\frac{$1}{1 year}\n = $1 per year\nThe rate of change between 2018 and 2019 was $1 per year.", "answer": "1", "table": "**Middletown School District sports budget**\n\n| Year | Per-student budget |\n| --- | --- |\n| 2016 | $46 |\n| 2017 | $40 |\n| 2018 | $44 |\n| 2019 | $45 |\n| 2020 | $39 |" } ] }, { "id": "14529", "image": "14529.png", "conversations": [ { "from": "human", "question": "Some students compared how many pairs of boots they own. How many students own more than 5 pairs of boots?\n" }, { "from": "gpt", "solution": "Find the row for 6 pairs of boots and read the frequency. The frequency is 0.\n\n0 students own more than 5 pairs of boots.", "answer": "0", "table": "**Pairs of boots**\n\n| Number of pairs of boots | Frequency |\n| --- | --- |\n| 0 | 6 |\n| 1 | 12 |\n| 2 | 8 |\n| 3 | 4 |\n| 4 | 3 |\n| 5 | 11 |\n| 6 | 0 |" } ] }, { "id": "14530", "image": "14530.png", "conversations": [ { "from": "human", "question": "Mark counted the number of pieces of pepperoni on each pizza he made. How many pizzas had at least 11 pieces of pepperoni but fewer than 42 pieces of pepperoni?\n" }, { "from": "gpt", "solution": "Find the row with stem 1. Count all the leaves greater than or equal to 1.\n\nCount all the leaves in the rows with stems 2 and 3.\n\nIn the row with stem 4, count all the leaves less than 2.\n\nYou counted 9 leaves, which are blue in the stem-and-leaf plots above. 9 pizzas had at least 11 pieces of pepperoni but fewer than 42 pieces of pepperoni.", "answer": "9", "table": "**Pieces of pepperoni per pizza**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 4, 5 |\n| 2 | 4, 5, 8 |\n| 3 | 6, 7, 8 |\n| 4 | 0, 3 |" } ] }, { "id": "14533", "image": "14533.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $415, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $415, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $145 | 14,600 | 1,900 |\n| $235 | 11,900 | 6,100 |\n| $325 | 9,200 | 10,300 |\n| $415 | 6,500 | 14,500 |\n| $505 | 3,800 | 18,700 |" } ] }, { "id": "14537", "image": "14537.png", "conversations": [ { "from": "human", "question": "How much money does Brenda need to buy 7 hang gliders?\n" }, { "from": "gpt", "solution": "Find the total cost of 7 hang gliders by multiplying 7 times the price of a hang glider.\n\n$9,079 × 7 = $63,553\n\nBrenda needs $63,553.", "answer": "63,553", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| hovercraft | $2,810 |\n| golf cart | $9,384 |\n| trailer | $6,652 |\n| hang glider | $9,079 |\n| canoe | $2,511 |\n| speedboat | $9,880 |" } ] }, { "id": "14544", "image": "14544.png", "conversations": [ { "from": "human", "question": "Elijah tracked how many laps he ran in the past 7 days. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n50, 44, 44, 50, 49, 50, 49\n\nFirst, arrange the numbers from least to greatest:\n\n44, 44, 49, 49, 50, 50, 50\n\nNow count how many times each number appears.\n\n44 appears 2 times.\n49 appears 2 times.\n50 appears 3 times.\n\nThe number that appears most often is 50.\n\nThe mode is 50.", "answer": "50", "table": "**Laps ran**\n\n| Day | Number of laps |\n| --- | --- |\n| Friday | 50 |\n| Saturday | 44 |\n| Sunday | 44 |\n| Monday | 50 |\n| Tuesday | 49 |\n| Wednesday | 50 |\n| Thursday | 49 |" } ] }, { "id": "14553", "image": "14553.png", "conversations": [ { "from": "human", "question": "Some teachers compared how many years they have been teaching. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n5, 9, 9, 2, 4, 7, 6, 6\n\nFirst, count how many numbers are in the group.\n\nThere are 8 numbers.\n\nNow add all the numbers together:\n\n5 + 9 + 9 + 2 + 4 + 7 + 6 + 6 = 48\n\nNow divide the sum by the number of numbers:\n\n48 ÷ 8 = 6\n\nThe mean is 6.", "answer": "6", "table": "**Years of teaching**\n\n| Teacher | Number of years |\n| --- | --- |\n| Mr. Gutierrez | 5 |\n| Mr. Park | 9 |\n| Miss Torres | 9 |\n| Mr. Perez | 2 |\n| Mr. Boone | 4 |\n| Mr. Nakamura | 7 |\n| Ms. Chan | 6 |\n| Miss Lim | 6 |" } ] }, { "id": "14563", "image": "14563.png", "conversations": [ { "from": "human", "question": "Chloe has $16. How much money will Chloe have left if she buys pasta with tomato sauce and pasta with white sauce?\n" }, { "from": "gpt", "solution": "Find the total cost of pasta with tomato sauce and pasta with white sauce.\n\n$6 + $6 = $12\n\nNow subtract the total cost from the starting amount.\n\n$16 - $12 = $4\n\nChloe will have $4 left.", "answer": "4", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| green salad | $7 |\n| pasta with white sauce | $6 |\n| spaghetti and meatballs | $5 |\n| steamed broccoli | $6 |\n| pasta with tomato sauce | $6 |" } ] }, { "id": "14564", "image": "14564.png", "conversations": [ { "from": "human", "question": "The Belmont Art Museum recorded how many finger puppets the children made at last Sunday's art workshop. How many children made exactly 4 finger puppets?\n" }, { "from": "gpt", "solution": "Find the row for 4 finger puppets and read the frequency. The frequency is 13.\n\n13 children made exactly 4 finger puppets.", "answer": "13", "table": "**Making finger puppets**\n\n| Finger puppets made | Frequency |\n| --- | --- |\n| 0 | 15 |\n| 1 | 6 |\n| 2 | 14 |\n| 3 | 10 |\n| 4 | 13 |" } ] }, { "id": "14569", "image": "14569.png", "conversations": [ { "from": "human", "question": "How much money does Greta need to buy a bag of cat treats and a bag of dog food?\n" }, { "from": "gpt", "solution": "Add the price of a bag of cat treats and the price of a bag of dog food:\n\n$5.34 + $8.88 = $14.22\n\nGreta needs $14.22.", "answer": "14.22", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| box of dog biscuits | $4.55 |\n| bag of birdseed | $2.53 |\n| jar of fish food | $2.02 |\n| dog leash | $3.23 |\n| bag of cat treats | $5.34 |\n| bag of dog food | $8.88 |" } ] }, { "id": "14570", "image": "14570.png", "conversations": [ { "from": "human", "question": "Each room has 5 tables. How many tables are in 5 rooms?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 25 tables in 5 rooms.", "answer": "25", "table": "| Number of rooms | Number of tables |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | 20 |\n| 5 | ? |" } ] }, { "id": "14571", "image": "14571.png", "conversations": [ { "from": "human", "question": "Some friends played a trivia game and recorded their scores. Who had the lowest score?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 913.\n\nNow find the corresponding name. Emmett corresponds to 913.", "answer": "Emmett", "table": "**Trivia game scores**\n\n| Name | Score |\n| --- | --- |\n| Roxanne | 919 |\n| Helen | 931 |\n| Emmett | 913 |\n| Isabella | 993 |" } ] }, { "id": "14572", "image": "14572.png", "conversations": [ { "from": "human", "question": "How much money does Hannah need to buy 3 yellow dresses and 8 purple dresses?\n" }, { "from": "gpt", "solution": "Find the cost of 3 yellow dresses.\n\n$38 × 3 = $114\n\nFind the cost of 8 purple dresses.\n\n$35 × 8 = $280\n\nNow find the total cost.\n\n$114 + $280 = $394\n\nHannah needs $394.", "answer": "394", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| black skirt | $15 |\n| pair of shoes | $24 |\n| yellow dress | $38 |\n| purple dress | $35 |" } ] }, { "id": "14574", "image": "14574.png", "conversations": [ { "from": "human", "question": "Rachel's class paid attention to how many bottles each student collected for their recycling project. Together, how many bottles did Rachel and Stanley collect?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nRachel: 1,729\nStanley: 2,017\n\nNow add: 1,729 + 2,017 = 3,746.\n\nRachel and Stanley collected 3,746 bottles.", "answer": "3,746", "table": "**Bottles collected**\n\n| Name | Number of bottles |\n| --- | --- |\n| Bryan | 6,308 |\n| Jared | 2,025 |\n| Rachel | 1,729 |\n| Felipe | 2,523 |\n| Stanley | 2,017 |" } ] }, { "id": "14578", "image": "14578.png", "conversations": [ { "from": "human", "question": "At Ellen's birthday party, children and parents celebrated by participating in some activities. How many children are eating cake?\n" }, { "from": "gpt", "solution": "First, find the row for eating cake. Then find the number in the Children column.\n\nThis number is 6. 6 children are eating cake.", "answer": "6", "table": "**Birthday party**\n\n| Activity | Children | Parents |\n| --- | --- | --- |\n| Making sundaes | 12 | 18 |\n| Playing tag | 13 | 20 |\n| Eating cake | 6 | 8 |" } ] }, { "id": "14594", "image": "14594.png", "conversations": [ { "from": "human", "question": "Alexandra graphed the amount of snow that fell in the last 5 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n5, 4, 5, 5, 3\n\nFirst, find the greatest number. The greatest number is 5.\n\nNext, find the least number. The least number is 3.\n\nSubtract the least number from the greatest number:\n\n5 − 3 = 2\n\nThe range is 2.", "answer": "2", "table": "**Daily snowfall**\n\n| Day | Snowfall (inches) |\n| --- | --- |\n| Sunday | 5 |\n| Monday | 4 |\n| Tuesday | 5 |\n| Wednesday | 5 |\n| Thursday | 3 |" } ] }, { "id": "14601", "image": "14601.png", "conversations": [ { "from": "human", "question": "How much would it cost to buy 4 kilograms of Persian oranges, 3 kilograms of blood oranges, and 5 kilograms of pomelos?\n" }, { "from": "gpt", "solution": "Find the cost of the Persian oranges. Multiply:\n\n$1.17 × 4 = $4.68\n\nFind the cost of the blood oranges. Multiply:\n\n$2.16 × 3 = $6.48\n\nFind the cost of the pomelos. Multiply:\n\n$0.71 × 5 = $3.55\n\nNow find the total cost by adding:\n\n$4.68 + $6.48 + $3.55 = $14.71\n\nIt would cost $14.71.", "answer": "14.71", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| blood oranges | $2.16 per kilogram |\n| Valencia oranges | $0.85 per kilogram |\n| tangerines | $1.49 per kilogram |\n| navel oranges | $0.87 per kilogram |\n| Persian oranges | $1.17 per kilogram |\n| pomelos | $0.71 per kilogram |" } ] }, { "id": "14603", "image": "14603.png", "conversations": [ { "from": "human", "question": "This morning, Mr. Nelson released the scores from last week's spelling test. What is the highest score?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 6.\n\nNow find the highest leaf in the last row. The highest leaf is 8.\n\nThe highest score has a stem of 6 and a leaf of 8. Write the stem first, then the leaf: 68.\n\nThe highest score is 68 points.", "answer": "68", "table": "**Spelling test scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 0, 6 |\n| 3 | 0, 0, 3, 5 |\n| 4 | |\n| 5 | 0 |\n| 6 | 7, 8, 8 |" } ] }, { "id": "14604", "image": "14604.png", "conversations": [ { "from": "human", "question": "A plant nursery in Westminster keeps records of how many of its plants are annuals, biennials, and perennials. What fraction of the plants are annuals? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many plants are annuals.\n\n65\n\nFind how many plants the nursery has in total.\n\n65 + 43 + 31 = 139\n\nDivide 65 by139.\n\n\\frac{65}{139}\n\n\\frac{65}{139} of plants are annuals.", "answer": "65/139", "table": "**Distribution of plant types**\n\n| Type | Number of plants |\n| --- | --- |\n| Annuals | 65 |\n| Biennials | 43 |\n| Perennials | 31 |" } ] }, { "id": "14610", "image": "14610.png", "conversations": [ { "from": "human", "question": "The members of the track team compared how many miles they ran last week. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n16, 17, 16, 15, 17, 12, 15\n\nFirst, find the greatest number. The greatest number is 17.\n\nNext, find the least number. The least number is 12.\n\nSubtract the least number from the greatest number:\n\n17 − 12 = 5\n\nThe range is 5.", "answer": "5", "table": "**Running miles**\n\n| Name | Miles |\n| --- | --- |\n| Kiara | 16 |\n| Aaliyah | 17 |\n| Ellen | 16 |\n| Donald | 15 |\n| Hector | 17 |\n| Stacy | 12 |\n| Peter | 15 |" } ] }, { "id": "14618", "image": "14618.png", "conversations": [ { "from": "human", "question": "For a class assignment, Tessa wanted to study whether or not the color of a person's car correlates with the color of his or her hair. She spent an hour at a stoplight recording the color of each car that passed and the hair color of its driver. What is the probability that a randomly selected driver has a blue car and has red hair? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the driver has a blue car\" and B be the event \"the driver has red hair\".\nTo find the probability that a driver has a blue car and has red hair, first identify the sample space and the event.\nThe outcomes in the sample space are the different drivers. Each driver is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the driver has a blue car and has red hair\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the driver has a blue car and has red hair\", so look at the table to see how many drivers have a blue car and have red hair.\nThe number of drivers who have a blue car and have red hair is 4.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of drivers.\n5 + 4 + 2 + 2 = 13\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{4}{13}\nThe probability that a driver has a blue car and has red hair is \\frac{4}{13}.", "answer": "4/13", "table": "| | Red hair | Blonde hair |\n| --- | --- | --- |\n| Red car | 5 | 2 |\n| Blue car | 4 | 2 |" } ] }, { "id": "14621", "image": "14621.png", "conversations": [ { "from": "human", "question": "Some friends played a trivia game and recorded their scores. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 8, 8, 9, 4\n\nFirst, arrange the numbers from least to greatest:\n\n4, 7, 8, 8, 9\n\nNow find the number in the middle.\n\n4, 7, 8, 8, 9\n\nThe number in the middle is 8.\n\nThe median is 8.", "answer": "8", "table": "**Trivia game scores**\n\n| Name | Score |\n| --- | --- |\n| Spencer | 7 |\n| Josiah | 8 |\n| Dave | 8 |\n| Toby | 9 |\n| Ruth | 4 |" } ] }, { "id": "14631", "image": "14631.png", "conversations": [ { "from": "human", "question": "During a lab exercise, students in Professor Joseph's class rolled a 6-sided die and recorded the results. Which number was rolled the fewest times?\n" }, { "from": "gpt", "solution": "Look at the frequency column. Find the least frequency. The least frequency is 3, which is in the row for 3. 3 was rolled the fewest times.", "answer": "3", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| Rolls of a | 6-sided die |\n| Numbers rolled | Frequency |\n| 1 | 20 |\n| 2 | 14 |\n| 3 | 3 |\n| 4 | 12 |\n| 5 | 7 |\n| 6 | 11 |" } ] }, { "id": "14634", "image": "14634.png", "conversations": [ { "from": "human", "question": "A food magazine published a listing of local restaurant ratings. How many restaurants were rated at least 12 points but fewer than 25 points?\n" }, { "from": "gpt", "solution": "Find the row with stem 1. Count all the leaves greater than or equal to 2.\n\nIn the row with stem 2, count all the leaves less than 5.\n\nYou counted 7 leaves, which are blue in the stem-and-leaf plots above. 7 restaurants were rated at least 12 points but fewer than 25 points.", "answer": "7", "table": "**Restaurant ratings**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 8, 9, 9, 9 |\n| 2 | 1, 2, 4, 9 |\n| 3 | 5, 6, 6, 9, 9 |\n| 4 | 1, 2, 3, 8 |\n| 5 | 0 |" } ] }, { "id": "14636", "image": "14636.png", "conversations": [ { "from": "human", "question": "Some students at Lancaster Middle School signed up to help out with the school play. How many more boys are on the costume committee than the lighting committee?\n" }, { "from": "gpt", "solution": "Find the Boys column. Find the numbers in this column for costume and lighting.\n\ncostume: 20\nlighting: 12\n\nNow subtract:\n\n20 − 12 = 8\n\n8 more boys are on the costume committee than the lighting committee.", "answer": "8", "table": "**School play committees**\n\n| Committee | Girls | Boys |\n| --- | --- | --- |\n| Costume | 14 | 20 |\n| Lighting | 17 | 12 |\n| Music | 6 | 7 |\n| Set design | 14 | 15 |" } ] }, { "id": "14637", "image": "14637.png", "conversations": [ { "from": "human", "question": "Worried about going over his storage limit, Jamal monitored the number of undeleted voicemail messages stored on his phone each day. According to the table, what was the rate of change between Monday and Tuesday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{12 voicemail messages - 15 voicemail messages}{1 day}\n = \\frac{-3 voicemail messages}{1 day}\n = -3 voicemail messages per day\nThe rate of change between Monday and Tuesday was - 3 voicemail messages per day.", "answer": "-3", "table": "**Voicemail messages on Jamal's phone**\n\n| Day | Voicemail messages |\n| --- | --- |\n| Monday | 15 |\n| Tuesday | 12 |\n| Wednesday | 11 |\n| Thursday | 12 |\n| Friday | 15 |" } ] }, { "id": "14640", "image": "14640.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{9 - 18}{15 - 14}\n = \\frac{-9}{1}\n = -9\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{0 - 18}{16 - 14}\n = \\frac{-18}{2}\n = -9\nThe two rates of change are the same.\n9.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 14 | 18 |\n| 15 | 9 |\n| 16 | 0 |" } ] }, { "id": "14649", "image": "14649.png", "conversations": [ { "from": "human", "question": "Hassan is the proud owner of an eclectic bow tie collection. He keeps track of how many bow ties he has, and organizes them by pattern and material. What is the probability that a randomly selected bow tie is designed with swirls and is made of cotton? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the bow tie is designed with swirls\" and B be the event \"the bow tie is made of cotton\".\nTo find the probability that a bow tie is designed with swirls and is made of cotton, first identify the sample space and the event.\nThe outcomes in the sample space are the different bow ties. Each bow tie is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the bow tie is designed with swirls and is made of cotton\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the bow tie is designed with swirls and is made of cotton\", so look at the table to see how many bow ties are designed with swirls and are made of cotton.\nThe number of bow ties that are designed with swirls and are made of cotton is 3.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of bow ties.\n7 + 5 + 3 + 3 = 18\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{3}{18}\n = \\frac{1}{6}\nThe probability that a bow tie is designed with swirls and is made of cotton is \\frac{1}{6}.", "answer": "1/6", "table": "| | Velvet | Cotton |\n| --- | --- | --- |\n| Zigzags | 7 | 3 |\n| Swirls | 5 | 3 |" } ] }, { "id": "14650", "image": "14650.png", "conversations": [ { "from": "human", "question": "The Milford Tourism Office researched how often people played miniature golf last summer. How many people did not play miniature golf last summer?\n" }, { "from": "gpt", "solution": "Find the row for 0 times and read the frequency. The frequency is 8.\n\n8 people did not play miniature golf last summer.", "answer": "8", "table": "**Playing miniature golf last summer**\n\n| Times played | Frequency |\n| --- | --- |\n| 0 | 8 |\n| 1 | 20 |\n| 2 | 6 |\n| 3 | 18 |" } ] }, { "id": "14654", "image": "14654.png", "conversations": [ { "from": "human", "question": "As part of a statistics project, a math class weighed all the children who were willing to participate. How many children weighed at least 53 pounds but less than 67 pounds?\n" }, { "from": "gpt", "solution": "Find the row with stem 5. Count all the leaves greater than or equal to 3.\n\nIn the row with stem 6, count all the leaves less than 7.\n\nYou counted 7 leaves, which are blue in the stem-and-leaf plots above. 7 children weighed at least 53 pounds but less than 67 pounds.", "answer": "7", "table": "**Children's weights (lbs)**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 3, 4, 5, 7, 9, 9 |\n| 4 | 6, 7, 7 |\n| 5 | 1, 1, 6, 8, 8, 9 |\n| 6 | 2, 4, 5 |" } ] }, { "id": "14656", "image": "14656.png", "conversations": [ { "from": "human", "question": "A balloon artist counted the number of balloon animal requests she received at a party. The balloon requests differed in animal type and color. What is the probability that a randomly selected balloon animal is shaped like a dog and is purple? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the balloon animal is shaped like a dog\" and B be the event \"the balloon animal is purple\".\nTo find the probability that a balloon animal is shaped like a dog and is purple, first identify the sample space and the event.\nThe outcomes in the sample space are the different balloon animals. Each balloon animal is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the balloon animal is shaped like a dog and is purple\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the balloon animal is shaped like a dog and is purple\", so look at the table to see how many balloon animals are shaped like a dog and are purple.\nThe number of balloon animals that are shaped like a dog and are purple is 5.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of balloon animals.\n5 + 5 + 7 + 2 = 19\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{5}{19}\nThe probability that a balloon animal is shaped like a dog and is purple is \\frac{5}{19}.", "answer": "5/19", "table": "| | Purple | Green |\n| --- | --- | --- |\n| Giraffe | 5 | 7 |\n| Dog | 5 | 2 |" } ] }, { "id": "14660", "image": "14660.png", "conversations": [ { "from": "human", "question": "A food industry researcher compiled the revenues of several pizzerias. How much more did Dan's Deep Dish make from pepperoni pizzas than Pizza, Pasta and More?\n" }, { "from": "gpt", "solution": "Find the Pepperoni pizzas column. Find the numbers in this column for Dan's Deep Dish and Pizza, Pasta and More.\n\nDan's Deep Dish: $12.00\nPizza, Pasta and More: $5.00\n\nNow subtract:\n\n$12.00 − $5.00 = $7.00\n\nDan's Deep Dish made $7 more from pepperoni pizzas than Pizza, Pasta and More.", "answer": "7", "table": "**Pizza sales**\n\n| Restaurant | Pepperoni pizzas | Vegetarian pizzas |\n| --- | --- | --- |\n| Pizzeria Italiano | $9 | $12 |\n| Dan's Deep Dish | $12 | $13 |\n| Pizza, Pasta and More | $5 | $19 |" } ] }, { "id": "14665", "image": "14665.png", "conversations": [ { "from": "human", "question": "A pair of Franklin High School hockey fans counted the number of games won by the school each year. According to the table, what was the rate of change between 2015 and 2016?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{12 games - 12 games}{2016 - 2015}\n = \\frac{12 games - 12 games}{1 year}\n = \\frac{0 games}{1 year}\n = 0 games per year\nThe rate of change between 2015 and 2016 was 0 games per year.", "answer": "0", "table": "**Hockey games won by Franklin High**\n\n| Year | Games won |\n| --- | --- |\n| 2014 | 19 |\n| 2015 | 12 |\n| 2016 | 12 |\n| 2017 | 17 |\n| 2018 | 8 |" } ] }, { "id": "14666", "image": "14666.png", "conversations": [ { "from": "human", "question": "How much money does Luna need to buy 3 slices of cherry pie?\n" }, { "from": "gpt", "solution": "Find the total cost of 3 slices of cherry pie by multiplying 3 times the price of a slice of cherry pie.\n\n$3.06 × 3 = $9.18\n\nLuna needs $9.18.", "answer": "9.18", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| tuna sandwich | $3.13 |\n| slice of pizza | $2.34 |\n| bag of potato chips | $1.67 |\n| slice of cherry pie | $3.06 |" } ] }, { "id": "14673", "image": "14673.png", "conversations": [ { "from": "human", "question": "Each laundry basket has 10 pairs of pants. How many pairs of pants are in 3 laundry baskets?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 30 pairs of pants in 3 laundry baskets.", "answer": "30", "table": "| Number of laundry baskets | Number of pairs of pants |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | ? |" } ] }, { "id": "14678", "image": "14678.png", "conversations": [ { "from": "human", "question": "How much more does a Jamaican vacation package cost than a Caribbean vacation package?\n" }, { "from": "gpt", "solution": "Subtract the price of a Caribbean vacation package from the price of a Jamaican vacation package.\n\n$9,269.00 - $3,920.00 = $5,349.00\n\nA Jamaican vacation package costs $5,349.00 more than a Caribbean vacation package.", "answer": "5,349", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| African safari vacation package | $8,630.00 |\n| Caribbean vacation package | $3,920.00 |\n| Hawaiian vacation package | $6,637.00 |\n| Jamaican vacation package | $9,269.00 |\n| European vacation package | $8,988.00 |" } ] }, { "id": "14680", "image": "14680.png", "conversations": [ { "from": "human", "question": "The aquarium's records showed how many tickets were sold in the past 4 days. On which day did the aquarium sell the most tickets?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 665.\n\nNow find the corresponding day. Tuesday corresponds to 665.", "answer": "Tuesday", "table": "**Tickets sold**\n\n| Day | Number of tickets |\n| --- | --- |\n| Tuesday | 665 |\n| Wednesday | 645 |\n| Thursday | 646 |\n| Friday | 654 |" } ] }, { "id": "14686", "image": "14686.png", "conversations": [ { "from": "human", "question": "A pizza delivery driver paid attention to how many pizzas he delivered over the past 5 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n10, 2, 10, 10, 2\n\nFirst, arrange the numbers from least to greatest:\n\n2, 2, 10, 10, 10\n\nNow find the number in the middle.\n\n2, 2, 10, 10, 10\n\nThe number in the middle is 10.\n\nThe median is 10.", "answer": "10", "table": "**Pizzas delivered**\n\n| Day | Number of pizzas |\n| --- | --- |\n| Thursday | 10 |\n| Friday | 2 |\n| Saturday | 10 |\n| Sunday | 10 |\n| Monday | 2 |" } ] }, { "id": "14689", "image": "14689.png", "conversations": [ { "from": "human", "question": "Fans of the Ashland baseball team compared the number of games won by their team each year. According to the table, what was the rate of change between 2008 and 2009?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{44 games - 47 games}{2009 - 2008}\n = \\frac{44 games - 47 games}{1 year}\n = \\frac{-3 games}{1 year}\n = -3 games per year\nThe rate of change between 2008 and 2009 was - 3 games per year.", "answer": "-3", "table": "**Games won by the Ashland baseball team**\n\n| Year | Games won |\n| --- | --- |\n| 2006 | 45 |\n| 2007 | 41 |\n| 2008 | 47 |\n| 2009 | 44 |\n| 2010 | 42 |" } ] }, { "id": "14693", "image": "14693.png", "conversations": [ { "from": "human", "question": "Sidney counted the boxes of cereal in a grocery store with different sizes and numbers of prizes. What is the probability that a randomly selected box of cereal is mini size and contains one prize? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the box of cereal is mini size\" and B be the event \"the box of cereal contains one prize\".\nTo find the probability that a box of cereal is mini size and contains one prize, first identify the sample space and the event.\nThe outcomes in the sample space are the different boxes of cereal. Each box of cereal is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the box of cereal is mini size and contains one prize\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the box of cereal is mini size and contains one prize\", so look at the table to see how many boxes of cereal are mini size and contain one prize.\nThe number of boxes of cereal that are mini size and contain one prize is 4.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of boxes of cereal.\n4 + 4 + 1 + 2 = 11\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{4}{11}\nThe probability that a box of cereal is mini size and contains one prize is \\frac{4}{11}.", "answer": "4/11", "table": "| | One prize | Two prizes |\n| --- | --- | --- |\n| Mini size | 4 | 1 |\n| Regular size | 4 | 2 |" } ] }, { "id": "14696", "image": "14696.png", "conversations": [ { "from": "human", "question": "A pair of Clark High School hockey fans counted the number of games won by the school each year. According to the table, what was the rate of change between 2007 and 2008?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{13 games - 12 games}{2008 - 2007}\n = \\frac{13 games - 12 games}{1 year}\n = \\frac{1 game}{1 year}\n = 1 game per year\nThe rate of change between 2007 and 2008 was 1 game per year.", "answer": "1", "table": "**Hockey games won by Clark High**\n\n| Year | Games won |\n| --- | --- |\n| 2007 | 12 |\n| 2008 | 13 |\n| 2009 | 6 |\n| 2010 | 8 |\n| 2011 | 9 |" } ] }, { "id": "14697", "image": "14697.png", "conversations": [ { "from": "human", "question": "Leon looked at his calendar to figure out how much time he spent babysitting each month. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n4, 6, 6, 2, 10, 8, 2\n\nFirst, arrange the numbers from least to greatest:\n\n2, 2, 4, 6, 6, 8, 10\n\nNow find the number in the middle.\n\n2, 2, 4, 6, 6, 8, 10\n\nThe number in the middle is 6.\n\nThe median is 6.", "answer": "6", "table": "**Hours of babysitting**\n\n| Month | Hours |\n| --- | --- |\n| July | 4 |\n| August | 6 |\n| September | 6 |\n| October | 2 |\n| November | 10 |\n| December | 8 |\n| January | 2 |" } ] }, { "id": "14706", "image": "14706.png", "conversations": [ { "from": "human", "question": "How much would it cost to buy 4 pounds of rocky road ice cream and 4 pounds of chocolate ice cream?\n" }, { "from": "gpt", "solution": "Find the cost of the rocky road ice cream. Multiply:\n\n$6 × 4 = $24\n\nFind the cost of the chocolate ice cream. Multiply:\n\n$6 × 4 = $24\n\nNow find the total cost by adding:\n\n$24 + $24 = $48\n\nIt would cost $48.", "answer": "48", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| butter pecan ice cream | $2 per lb |\n| Neapolitan ice cream | $3 per lb |\n| chocolate ice cream | $6 per lb |\n| rocky road ice cream | $6 per lb |\n| pistachio ice cream | $2 per lb |" } ] }, { "id": "14707", "image": "14707.png", "conversations": [ { "from": "human", "question": "During a lesson on graphing data, students in Mrs. Sally's math class guessed a number between 1 and 5 and recorded the results. Which number was guessed the most times?\n" }, { "from": "gpt", "solution": "Look at the frequency column. Find the greatest frequency. The greatest frequency is 18, which is in the row for 1. 1 was guessed the most times.", "answer": "1", "table": "**Guessing a number between 1 and 5**\n\n| Number guessed | Frequency |\n| --- | --- |\n| 1 | 18 |\n| 2 | 15 |\n| 3 | 9 |\n| 4 | 17 |\n| 5 | 4 |" } ] }, { "id": "14710", "image": "14710.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does the ferry arrive at Seagull Port?\n" }, { "from": "gpt", "solution": "Find Seagull Port on the schedule. Find the arrival time for Seagull Port.\n\nSeagull Port: 12:05 P. M.", "answer": "12:05 P.M.", "table": "**Ferry schedule**\n\n| Location | Arrive | Depart |\n| --- | --- | --- |\n| Bay Harbor | 7:40 A.M. | 7:45 A.M. |\n| Starfish City | 8:10 A.M. | 8:30 A.M. |\n| Sandy Shores | 10:05 A.M. | 10:25 A.M. |\n| Seagull Port | 12:05 P.M. | 12:15 P.M. |\n| Beach Town | 1:00 P.M. | 1:25 P.M. |\n| Cliff View | 2:55 P.M. | 3:05 P.M. |\n| Windy Sands | 4:10 P.M. | 4:30 P.M. |\n| Crest View | 5:05 P.M. | 5:15 P.M. |" } ] }, { "id": "14715", "image": "14715.png", "conversations": [ { "from": "human", "question": "How much money does Nate need to buy 8 notebooks and 9 boxes of paper clips?\n" }, { "from": "gpt", "solution": "Find the cost of 8 notebooks.\n\n$0.77 × 8 = $6.16\n\nFind the cost of 9 boxes of paper clips.\n\n$0.90 × 9 = $8.10\n\nNow find the total cost.\n\n$6.16 + $8.10 = $14.26\n\nNate needs $14.26.", "answer": "14.26", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| notebook | $0.77 |\n| pencil sharpener | $0.55 |\n| eraser | $0.64 |\n| box of paper clips | $0.90 |" } ] }, { "id": "14730", "image": "14730.png", "conversations": [ { "from": "human", "question": "The members of the local garden club tallied the number of plants in each person's garden. How many gardens have at least 30 plants?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 3, 4, 5, 6, and 7.\n\nYou counted 6 leaves, which are blue in the stem-and-leaf plot above. 6 gardens have at least 30 plants.", "answer": "6", "table": "**Plants per garden**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 2 |\n| 4 | 1, 8 |\n| 5 | 1 |\n| 6 | 1 |\n| 7 | 3 |" } ] }, { "id": "14738", "image": "14738.png", "conversations": [ { "from": "human", "question": "The Arcadia Soup Company recorded the number of rotten tomatoes in each barrel it received. What is the largest number of rotten tomatoes?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 8.\n\nNow find the highest leaf in the last row. The highest leaf is 7.\n\nThe largest number of rotten tomatoes has a stem of 8 and a leaf of 7. Write the stem first, then the leaf: 87.\n\nThe largest number of rotten tomatoes is 87 rotten tomatoes.", "answer": "87", "table": "**Rotten tomatoes per barrel**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 0 |\n| 3 | 5 |\n| 4 | 0, 6 |\n| 5 | 8 |\n| 6 | 1 |\n| 7 | 6 |\n| 8 | 2, 6, 7 |" } ] }, { "id": "14748", "image": "14748.png", "conversations": [ { "from": "human", "question": "How much more does a train ticket to San Francisco cost than a train ticket to Boston?\n" }, { "from": "gpt", "solution": "Subtract the price of a train ticket to Boston from the price of a train ticket to San Francisco.\n\n$883.00 - $483.00 = $400.00\n\nA train ticket to San Francisco costs $400.00 more than a train ticket to Boston.", "answer": "400", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| train ticket to Los Angeles | $164.00 |\n| train ticket to San Francisco | $883.00 |\n| train ticket to St. Louis | $161.00 |\n| train ticket to Chicago | $274.00 |\n| train ticket to Boston | $483.00 |" } ] }, { "id": "14752", "image": "14752.png", "conversations": [ { "from": "human", "question": "The financial aid office at Garza University produced an internal report on the number of students receiving scholarships. According to the table, what was the rate of change between 2016 and 2017?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{23 students - 27 students}{2017 - 2016}\n = \\frac{23 students - 27 students}{1 year}\n = \\frac{-4 students}{1 year}\n = -4 students per year\nThe rate of change between 2016 and 2017 was - 4 students per year.", "answer": "-4", "table": "**Students receiving scholarships**\n\n| Year | Students |\n| --- | --- |\n| 2016 | 27 |\n| 2017 | 23 |\n| 2018 | 19 |\n| 2019 | 18 |\n| 2020 | 34 |" } ] }, { "id": "14757", "image": "14757.png", "conversations": [ { "from": "human", "question": "How much money does Sandra need to buy a topaz bracelet, a diamond bracelet, and a diamond pendant?\n" }, { "from": "gpt", "solution": "Find the total cost of a topaz bracelet, a diamond bracelet, and a diamond pendant.\n\n$2,811.00 + $4,063.00 + $5,253.00 = $12,127.00\n\nSandra needs $12,127.00.", "answer": "12,127", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| jade necklace | $9,388.00 |\n| opal pendant | $7,657.00 |\n| topaz bracelet | $2,811.00 |\n| gold ring | $1,901.00 |\n| diamond bracelet | $4,063.00 |\n| diamond pendant | $5,253.00 |" } ] }, { "id": "14761", "image": "14761.png", "conversations": [ { "from": "human", "question": "A fashion magazine poll asks how many winter hats each reader owns. How many readers are there in all?\n" }, { "from": "gpt", "solution": "Add the frequencies for each row.\n\nAdd:\n\n18 + 7 + 10 + 16 = 51\n\nThere are 51 readers in all.", "answer": "51", "table": "**Winter hats**\n\n| Number of winter hats | Frequency |\n| --- | --- |\n| 0 | 18 |\n| 1 | 7 |\n| 2 | 10 |\n| 3 | 16 |" } ] }, { "id": "14769", "image": "14769.png", "conversations": [ { "from": "human", "question": "A researcher recorded the number of cows on each farm in the county. How many farms have exactly 86 cows?\n" }, { "from": "gpt", "solution": "For the number 86, the stem is 8, and the leaf is 6. Find the row where the stem is 8. In that row, count all the leaves equal to 6.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 farms have exactly 86 cows.", "answer": "4", "table": "**Cows per farm**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 4, 6, 9 |\n| 5 | 1, 2, 5 |\n| 6 | 2, 8 |\n| 7 | 1 |\n| 8 | 0, 1, 2, 2, 3, 5, 5, 6, 6, 6, 6, 8, 9 |\n| 9 | 0 |" } ] }, { "id": "14785", "image": "14785.png", "conversations": [ { "from": "human", "question": "Look at Riley's pay stub. Riley lives in a state without state income tax. How much did Riley make after taxes?\n" }, { "from": "gpt", "solution": "Find how much Riley made after taxes. Find the total payroll tax, then subtract it from the total earnings.\nTo find the total payroll tax, add the federal income tax and the other taxes.\nThe total earnings are $974.00. The total payroll tax is $209.21. Subtract to find the difference.\n$974.00 - $209.21 = $764.79\nRiley made $764.79 after taxes.", "answer": "764.79", "table": "| Employee | Pay period | |\n| --- | --- | --- |\n| Riley Stewart | March 17-23 | |\n| Total earnings | | $974.00 |\n| Federal income tax | $134.70 | |\n| Other taxes | $74.51 | |\n| Total taxes | | ? |\n| Pay after taxes | | ? |" } ] }, { "id": "14791", "image": "14791.png", "conversations": [ { "from": "human", "question": "Rhianna baked cookies each day for a bake sale. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n100, 93, 93, 93, 96, 89\n\nFirst, count how many numbers are in the group.\n\nThere are 6 numbers.\n\nNow add all the numbers together:\n\n100 + 93 + 93 + 93 + 96 + 89 = 564\n\nNow divide the sum by the number of numbers:\n\n564 ÷ 6 = 94\n\nThe mean is 94.", "answer": "94", "table": "**Cookies baked**\n\n| Day | Number of cookies |\n| --- | --- |\n| Wednesday | 100 |\n| Thursday | 93 |\n| Friday | 93 |\n| Saturday | 93 |\n| Sunday | 96 |\n| Monday | 89 |" } ] }, { "id": "14794", "image": "14794.png", "conversations": [ { "from": "human", "question": "While doing a project for P. E. class, Sharon researched the number of athletes competing in an international sporting event. How many countries have at least 27 athletes?\n" }, { "from": "gpt", "solution": "Find the row with stem 2. Count all the leaves greater than or equal to 7.\n\nCount all the leaves in the rows with stems 3, 4, 5, 6, 7, and 8.\n\nYou counted 16 leaves, which are blue in the stem-and-leaf plots above. 16 countries have at least 27 athletes.", "answer": "16", "table": "**Athletes per country**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1 |\n| 2 | 8, 9 |\n| 3 | 3, 9 |\n| 4 | 6 |\n| 5 | 6, 8, 8 |\n| 6 | 0, 6, 8 |\n| 7 | 3, 5, 7, 8 |\n| 8 | 8 |" } ] }, { "id": "14796", "image": "14796.png", "conversations": [ { "from": "human", "question": "A grocery store monitored how many paper bags were used in the past 3 days. How many paper bags in total did the grocery store use on Tuesday and Wednesday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nTuesday: 632\nWednesday: 237\n\nNow add: 632 + 237 = 869.\n\nThe grocery store used 869 paper bags on Tuesday and Wednesday.", "answer": "869", "table": "**Paper bags used**\n\n| Day | Number of paper bags |\n| --- | --- |\n| Tuesday | 632 |\n| Wednesday | 237 |\n| Thursday | 209 |" } ] }, { "id": "14810", "image": "14810.png", "conversations": [ { "from": "human", "question": "This is Kira's complete financial record for April. How much money did Kira spend on a bag of jellybeans?\n" }, { "from": "gpt", "solution": "Look at the bag of jellybeans row. The expenses were $4.15. So, Kira spent $4.15 on a bag of jellybeans.\n", "answer": "4.15", "table": "| Date | Description | Received | Expenses | Available Funds |\n| --- | --- | --- | --- | --- |\n| | Balance: end of March | | | $461.80 |\n| 4/7 | bag of jellybeans | | $4.15 | $457.65 |\n| 4/14 | helping Mr. Garza | $20.00 | | $477.65 |\n| 4/23 | umbrella | | $12.65 | $465.00 |" } ] }, { "id": "14812", "image": "14812.png", "conversations": [ { "from": "human", "question": "Some friends compared the sizes of their sticker collections. Who has the fewest stickers?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 338.\n\nNow find the corresponding name. Dave corresponds to 338.", "answer": "Dave", "table": "**Sticker collections**\n\n| Name | Number of stickers |\n| --- | --- |\n| Abby | 358 |\n| Jason | 353 |\n| Dave | 338 |\n| Luna | 385 |" } ] }, { "id": "14815", "image": "14815.png", "conversations": [ { "from": "human", "question": "Each roof has 10 sparrows. How many sparrows are on 6 roofs?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 60 sparrows on 6 roofs.", "answer": "60", "table": "| Number of roofs | Number of sparrows |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | 40 |\n| 5 | 50 |\n| 6 | ? |" } ] }, { "id": "14820", "image": "14820.png", "conversations": [ { "from": "human", "question": "How much money does Lauren need to buy a boxcar and a jet ski?\n" }, { "from": "gpt", "solution": "Add the price of a boxcar and the price of a jet ski:\n\n$7,900 + $5,902 = $13,802\n\nLauren needs $13,802.", "answer": "13,802", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| tow truck | $8,991 |\n| canoe | $3,864 |\n| boxcar | $7,900 |\n| jet ski | $5,902 |" } ] }, { "id": "14836", "image": "14836.png", "conversations": [ { "from": "human", "question": "A reporter looked through his notebook to remember how many people he had interviewed in the past 7 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n3, 4, 7, 4, 10, 9, 8\n\nFirst, find the greatest number. The greatest number is 10.\n\nNext, find the least number. The least number is 3.\n\nSubtract the least number from the greatest number:\n\n10 − 3 = 7\n\nThe range is 7.", "answer": "7", "table": "**People interviewed**\n\n| Day | Number of people |\n| --- | --- |\n| Saturday | 3 |\n| Sunday | 4 |\n| Monday | 7 |\n| Tuesday | 4 |\n| Wednesday | 10 |\n| Thursday | 9 |\n| Friday | 8 |" } ] }, { "id": "14844", "image": "14844.png", "conversations": [ { "from": "human", "question": "Lisa likes watching the show Engineering Marvels. In last night's episode, the engineering team visited a tall skyscraper and a deep mine. A banner at the bottom of the screen showed the elevation of each location the team visited. Which location is closer to sea level?\n" }, { "from": "gpt", "solution": "The top of the skyscraper has a positive elevation, so it is above sea level. The bottom of the mine has a negative elevation, so it is below sea level.\nTo find the location closer to sea level, use absolute value. Absolute value tells you how far each location is from sea level.\nTop of the skyscraper: |275| = 275\nBottom of the mine: |-260| = 260\nThe top of the skyscraper is 275 meters above sea level, but the bottom of the mine is only260 meters below sea level. The bottom of the mine is closer to sea level.", "answer": "bottom of the mine", "table": "| Location | Elevation (m) |\n| --- | --- |\n| Top of the skyscraper | 275 |\n| Bottom of the mine | -260 |" } ] }, { "id": "14859", "image": "14859.png", "conversations": [ { "from": "human", "question": "The members of the track team compared how many miles they ran last week. Who ran the farthest?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 19.\n\nNow find the corresponding name. Austen corresponds to 19.", "answer": "Austen", "table": "**Running miles**\n\n| Name | Miles |\n| --- | --- |\n| Grace | 16 |\n| Austen | 19 |\n| Manuel | 13 |\n| Steven | 12 |" } ] }, { "id": "14860", "image": "14860.png", "conversations": [ { "from": "human", "question": "Some candy companies compared how many pieces of candy they have produced. Together, how many pieces of candy have Tasty Treats and Goodman Candies produced?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nTasty Treats: 458\nGoodman Candies: 189\n\nNow add: 458 + 189 = 647.\n\nTasty Treats and Goodman Candies have produced 647 pieces of candy.", "answer": "647", "table": "**Candy production**\n\n| Company | Number of pieces of candy |\n| --- | --- |\n| Tasty Treats | 458 |\n| Goodman Candies | 189 |\n| Sweet Things | 191 |\n| Chocolate and More | 356 |" } ] }, { "id": "14868", "image": "14868.png", "conversations": [ { "from": "human", "question": "A pizza chef recalled how many pizzas she had made during the past 5 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n1, 6, 5, 4, 5\n\nFirst, arrange the numbers from least to greatest:\n\n1, 4, 5, 5, 6\n\nNow find the number in the middle.\n\n1, 4, 5, 5, 6\n\nThe number in the middle is 5.\n\nThe median is 5.", "answer": "5", "table": "**Pizzas made**\n\n| Day | Number of pizzas |\n| --- | --- |\n| Friday | 1 |\n| Saturday | 6 |\n| Sunday | 5 |\n| Monday | 4 |\n| Tuesday | 5 |" } ] }, { "id": "14870", "image": "14870.png", "conversations": [ { "from": "human", "question": "Scott kept track of how long it took to finish his homework each day. According to the table, what was the rate of change between Tuesday and Wednesday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{31 minutes - 30 minutes}{1 day}\n = \\frac{1 minute}{1 day}\n = 1 minute per day\nThe rate of change between Tuesday and Wednesday was 1 minute per day.", "answer": "1", "table": "**Time Scott spent on homework**\n\n| Day | Minutes |\n| --- | --- |\n| Tuesday | 30 |\n| Wednesday | 31 |\n| Thursday | 31 |\n| Friday | 27 |\n| Saturday | 29 |" } ] }, { "id": "14871", "image": "14871.png", "conversations": [ { "from": "human", "question": "How much more does a book of poems cost than a map of the world?\n" }, { "from": "gpt", "solution": "Subtract the price of a map of the world from the price of a book of poems.\n\n$24.00 - $11.00 = $13.00\n\nA book of poems costs $13.00 more than a map of the world.", "answer": "13", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| cat calendar | $13.00 |\n| map of Africa | $15.00 |\n| map of the world | $11.00 |\n| book of poems | $24.00 |" } ] }, { "id": "14873", "image": "14873.png", "conversations": [ { "from": "human", "question": "Turner, who rents properties for a living, measures all the offices in a building he is renting. How many offices are at least 0 square meters but less than 80 square meters?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 0, 1, 2, 3, 4, 5, 6, and 7.\n\nYou counted 17 leaves, which are blue in the stem-and-leaf plot above. 17 offices are at least 0 square meters but less than 80 square meters.", "answer": "17", "table": "**Office sizes (square meters)**\n\n| Stem | Leaf |\n| --- | --- |\n| 0 | 6 |\n| 1 | |\n| 2 | 2, 3, 3 |\n| 3 | 9 |\n| 4 | 0, 0, 7, 8, 9 |\n| 5 | 1, 4, 8 |\n| 6 | 1, 2, 7 |\n| 7 | 4 |\n| 8 | |\n| 9 | 0 |" } ] }, { "id": "14875", "image": "14875.png", "conversations": [ { "from": "human", "question": "Mona counted the number of cookies eaten by each customer at last week's bake sale. How many customers ate fewer than 2 cookies last week?\n" }, { "from": "gpt", "solution": "Find the row for 1 cookie last week and read the frequency. The frequency is 4.\n\n4 customers ate fewer than 2 cookies last week.", "answer": "4", "table": "**Eating cookies last week**\n\n| Cookies eaten | Frequency |\n| --- | --- |\n| 1 | 4 |\n| 2 | 6 |\n| 3 | 10 |\n| 4 | 16 |" } ] }, { "id": "14876", "image": "14876.png", "conversations": [ { "from": "human", "question": "This table shows information about two occupations. In which occupation might you spend time at sea for research?\n" }, { "from": "gpt", "solution": "Look at the description for each occupation.\nMarine biologists study fish and other ocean wildlife, so they might spend time at sea for research. Dog trainers teach dogs to follow commands, but they don't conduct research and would likely not spend time at sea for work.", "answer": "marine biologist", "table": "| | Marine biologist | Dog trainer |\n| --- | --- | --- |\n| Description | Marine biologists study fish and other ocean wildlife. | Dog trainers teach dogs to follow commands and assist people with disabilities. |\n| Typical education required | Doctoral degree in biology or a related field | High school diploma, but some have certifications from trade schools |\n| Median income | $63,500 per year | $29,500 per year |" } ] }, { "id": "14881", "image": "14881.png", "conversations": [ { "from": "human", "question": "The Summerfield Middle School fundraising committee found out how many sweatshirts students already had, in order to decide whether to sell sweatshirts for a fundraiser. How many students in the class have exactly 2 sweatshirts?\n" }, { "from": "gpt", "solution": "Find the row for 2 sweatshirts and read the frequency. The frequency is 13.\n\n13 students have exactly2 sweatshirts.", "answer": "13", "table": "**Sweatshirts**\n\n| Number of sweatshirts | Frequency |\n| --- | --- |\n| 0 | 16 |\n| 1 | 4 |\n| 2 | 13 |\n| 3 | 1 |\n| 4 | 2 |\n| 5 | 19 |\n| 6 | 0 |" } ] }, { "id": "14883", "image": "14883.png", "conversations": [ { "from": "human", "question": "Emma figured out the scores at the end of a card game. How many people scored at least 5?\n" }, { "from": "gpt", "solution": "Find the rows for 5, 6, 7, 8, 9, and 10. Add the frequencies for these rows.\n\nAdd:\n\n20 + 4 + 13 + 10 + 14 + 9 = 70\n\n70 people scored at least 5.", "answer": "70", "table": "**Scores in a card game**\n\n| Score | Frequency |\n| --- | --- |\n| 4 | 0 |\n| 5 | 20 |\n| 6 | 4 |\n| 7 | 13 |\n| 8 | 10 |\n| 9 | 14 |\n| 10 | 9 |" } ] }, { "id": "14885", "image": "14885.png", "conversations": [ { "from": "human", "question": "Kayla went to the store and bought 1.1 kilograms of turkey. How much did she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the turkey. Multiply the price per kilogram by the number of kilograms.\n$2 × 1.1 = $2.20\nShe spent $2.20.", "answer": "2.20", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| ham | $2/kilogram |\n| turkey | $2/kilogram |\n| chicken | $4/kilogram |\n| beef | $3/kilogram |\n| duck | $3/kilogram |" } ] }, { "id": "14901", "image": "14901.png", "conversations": [ { "from": "human", "question": "Look at this table. Is this relation a function?\n" }, { "from": "gpt", "solution": "Look at the x-values in the table.\n\nEach of the x-values is paired with only one y-value, so the relation is a function.", "answer": "yes", "table": "| x | y |\n| --- | --- |\n| 10 | 8 |\n| 5 | 15 |\n| 6 | 14 |\n| 8 | 7 |" } ] }, { "id": "14908", "image": "14908.png", "conversations": [ { "from": "human", "question": "Danny's classmates revealed how many science articles they read. Together, how many science articles did Danny and Lisa read?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nDanny: 682\nLisa: 126\n\nNow add: 682 + 126 = 808.\n\nDanny and Lisa read 808 science articles.", "answer": "808", "table": "**Science articles read**\n\n| Name | Number of science articles |\n| --- | --- |\n| Karen | 173 |\n| Danny | 682 |\n| Lisa | 126 |\n| Alan | 130 |" } ] }, { "id": "14909", "image": "14909.png", "conversations": [ { "from": "human", "question": "Megan purchased 3.7 kilograms of black olives. What was the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the black olives. Multiply the price per kilogram by the number of kilograms.\n$2 × 3.7 = $7.40\nThe total cost was $7.40.", "answer": "7.40", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| green olives | $3/kilogram |\n| Kalamata olives | $3/kilogram |\n| black olives | $2/kilogram |\n| Greek olives | $3/kilogram |\n| Spanish olives | $3/kilogram |" } ] }, { "id": "14914", "image": "14914.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Lindsey just missed the 12.15 P.M. bus at the skyscraper. What time is the next bus?\n" }, { "from": "gpt", "solution": "Find 12:15 P. M. in the row for the skyscraper.\n\nLook for the next bus in that row.\n\nThe next bus is at 12:30 P. M.", "answer": "12:30 P.M.", "table": "**Tour bus schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 | Column 5 |\n| --- | --- | --- | --- | --- |\n| art museum | 9:00 A.M. | 9:45 A.M. | 10:15 A.M. | 10:30 A.M. |\n| famous bridge | 10:00 A.M. | 10:45 A.M. | 11:15 A.M. | 11:30 A.M. |\n| landmark sculpture | 10:45 A.M. | 11:30 A.M. | 12:00 P.M. | 12:15 P.M. |\n| skyscraper | 11:00 A.M. | 11:45 A.M. | 12:15 P.M. | 12:30 P.M. |\n| city hall | 11:30 A.M. | 12:15 P.M. | 12:45 P.M. | 1:00 P.M. |\n| the aquarium | 12:15 P.M. | 1:00 P.M. | 1:30 P.M. | 1:45 P.M. |\n| science museum | 1:15 P.M. | 2:00 P.M. | 2:30 P.M. | 2:45 P.M. |\n| historic house | 1:45 P.M. | 2:30 P.M. | 3:00 P.M. | 3:15 P.M. |" } ] }, { "id": "14921", "image": "14921.png", "conversations": [ { "from": "human", "question": "The owner of a plant nursery wrote down the number of roses on each bush. How many bushes have exactly 15 roses?\n" }, { "from": "gpt", "solution": "For the number 15, the stem is 1, and the leaf is 5. Find the row where the stem is 1. In that row, count all the leaves equal to 5.\n\nYou counted 1 leaf, which is blue in the stem-and-leaf plot above. 1 bush has exactly15 roses.", "answer": "1", "table": "**Roses per bush**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 2, 5, 7, 8 |\n| 2 | 2, 2, 3, 3, 3, 5, 7, 9 |\n| 3 | 4, 6, 6 |\n| 4 | 0, 4, 4 |" } ] }, { "id": "14924", "image": "14924.png", "conversations": [ { "from": "human", "question": "For an economics project, Aubrey determined the cost of ferry rides for bicycles and cars. How much does it cost to take a bicycle on the Fauntleroy-Vashon ferry?\n" }, { "from": "gpt", "solution": "First, find the row for Fauntleroy-Vashon. Then find the number in the Bicycle column.\n\nThis number is $5.00. It costs $5 to take a bicycle on the Fauntleroy-Vashon ferry.", "answer": "5", "table": "**Ferry fares**\n\n| Ferry | Bicycle | Car |\n| --- | --- | --- |\n| Fauntleroy-Vashon | $5 | $15 |\n| Southport-Fort Fisher | $2 | $5 |\n| Seattle-Bremerton | $8 | $12 |\n| Mukilteu-Clinton | $5 | $7 |\n| Ocracoke | $3 | $15 |" } ] }, { "id": "14932", "image": "14932.png", "conversations": [ { "from": "human", "question": "Mark buys 1.7 pounds of rice. What is the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the rice. Multiply the price per pound by the number of pounds.\n$1 × 1.7 = $1.70\nThe total cost is $1.70.", "answer": "1.70", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| barley | $3 per pound |\n| oats | $3 per pound |\n| rye | $1 per pound |\n| rice | $1 per pound |\n| wheat | $3 per pound |" } ] }, { "id": "14946", "image": "14946.png", "conversations": [ { "from": "human", "question": "How much money does Rhianna need to buy a diamond pendant and a sapphire pendant?\n" }, { "from": "gpt", "solution": "Add the price of a diamond pendant and the price of a sapphire pendant:\n\n$911.00 + $704.00 = $1,615.00\n\nRhianna needs $1,615.00.", "answer": "1,615", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| sapphire ring | $998.00 |\n| sapphire pendant | $704.00 |\n| diamond bracelet | $813.00 |\n| diamond pendant | $911.00 |\n| gold necklace | $900.00 |\n| ruby necklace | $551.00 |" } ] }, { "id": "14950", "image": "14950.png", "conversations": [ { "from": "human", "question": "Toby has $13.20. How much money will Toby have left if he buys a birthday balloon and a kazoo?\n" }, { "from": "gpt", "solution": "Find the total cost of a birthday balloon and a kazoo.\n\n$1.78 + $1.60 = $3.38\n\nNow subtract the total cost from the starting amount.\n\n$13.20 - $3.38 = $9.82\n\nToby will have $9.82 left.", "answer": "9.82", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| gift bag | $1.34 |\n| package of confetti | $1.18 |\n| whistle | $1.11 |\n| greeting card | $2.86 |\n| kazoo | $1.60 |\n| birthday balloon | $1.78 |" } ] }, { "id": "14951", "image": "14951.png", "conversations": [ { "from": "human", "question": "Jaden counted the number of words per page in his new book. How many pages have exactly 73 words?\n" }, { "from": "gpt", "solution": "For the number 73, the stem is 7, and the leaf is 3. Find the row where the stem is 7. In that row, count all the leaves equal to 3.\n\nYou counted 0 leaves. 0 pages have exactly 73 words.", "answer": "0", "table": "**Words per page**\n\n| Stem | Leaf |\n| --- | --- |\n| 5 | 4, 9 |\n| 6 | |\n| 7 | 0, 1, 1, 6, 7 |\n| 8 | |\n| 9 | 0 |" } ] }, { "id": "14956", "image": "14956.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $725, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $725, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $405 | 20,200 | 6,000 |\n| $485 | 15,500 | 7,900 |\n| $565 | 10,800 | 9,800 |\n| $645 | 6,100 | 11,700 |\n| $725 | 1,400 | 13,600 |" } ] }, { "id": "14963", "image": "14963.png", "conversations": [ { "from": "human", "question": "Janet buys 2.6 pounds of mustard. How much does she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the mustard. Multiply the price per pound by the number of pounds.\n$2 × 2.6 = $5.20\nShe spends $5.20.", "answer": "5.20", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| soy sauce | $4 per pound |\n| mustard | $2 per pound |\n| hot sauce | $2 per pound |\n| Dijon mustard | $3 per pound |" } ] }, { "id": "14966", "image": "14966.png", "conversations": [ { "from": "human", "question": "Becky likes watching the show Engineering Marvels. In last night's episode, the engineering team visited a tall skyscraper and a deep mine. A banner at the bottom of the screen showed the elevation of each location the team visited. Which location is closer to sea level?\n" }, { "from": "gpt", "solution": "The top of the skyscraper has a positive elevation, so it is above sea level. The bottom of the mine has a negative elevation, so it is below sea level.\nTo find the location closer to sea level, use absolute value. Absolute value tells you how far each location is from sea level.\nTop of the skyscraper: |275| = 275\nBottom of the mine: |-260| = 260\nThe top of the skyscraper is 275 meters above sea level, but the bottom of the mine is only260 meters below sea level. The bottom of the mine is closer to sea level.", "answer": "bottom of the mine", "table": "| Location | Elevation (m) |\n| --- | --- |\n| Top of the skyscraper | 275 |\n| Bottom of the mine | -260 |" } ] }, { "id": "14971", "image": "14971.png", "conversations": [ { "from": "human", "question": "How much money does Ariana need to buy a mystery novel, a science book, and a picture book?\n" }, { "from": "gpt", "solution": "Find the total cost of a mystery novel, a science book, and a picture book.\n\n$14.70 + $11.26 + $21.98 = $47.94\n\nAriana needs $47.94.", "answer": "47.94", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| history book | $11.77 |\n| picture book | $21.98 |\n| science book | $11.26 |\n| spelling workbook | $17.10 |\n| mystery novel | $14.70 |\n| poetry book | $22.60 |" } ] }, { "id": "14973", "image": "14973.png", "conversations": [ { "from": "human", "question": "A reporter looked through his notebook to remember how many people he had interviewed in the past 5 days. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 8, 8, 4, 8\n\nFirst, count how many numbers are in the group.\n\nThere are 5 numbers.\n\nNow add all the numbers together:\n\n7 + 8 + 8 + 4 + 8 = 35\n\nNow divide the sum by the number of numbers:\n\n35 ÷ 5 = 7\n\nThe mean is 7.", "answer": "7", "table": "**People interviewed**\n\n| Day | Number of people |\n| --- | --- |\n| Monday | 7 |\n| Tuesday | 8 |\n| Wednesday | 8 |\n| Thursday | 4 |\n| Friday | 8 |" } ] }, { "id": "14977", "image": "14977.png", "conversations": [ { "from": "human", "question": "How much would it cost to buy 3 pounds of gummy bears, 3 pounds of yogurt-covered peanuts, and 2 pounds of licorice?\n" }, { "from": "gpt", "solution": "Find the cost of the gummy bears. Multiply:\n\n$2 × 3 = $6\n\nFind the cost of the yogurt-covered peanuts. Multiply:\n\n$1 × 3 = $3\n\nFind the cost of the licorice. Multiply:\n\n$4 × 2 = $8\n\nNow find the total cost by adding:\n\n$6 + $3 + $8 = $17\n\nIt would cost $17.", "answer": "17", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| lemon sours | $1 per pound |\n| yogurt-covered peanuts | $1 per pound |\n| gummy bears | $2 per pound |\n| licorice | $4 per pound |" } ] }, { "id": "14984", "image": "14984.png", "conversations": [ { "from": "human", "question": "The science club made a table showing the ages of its members. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n10, 8, 7, 7, 13, 8, 10\n\nFirst, count how many numbers are in the group.\n\nThere are 7 numbers.\n\nNow add all the numbers together:\n\n10 + 8 + 7 + 7 + 13 + 8 + 10 = 63\n\nNow divide the sum by the number of numbers:\n\n63 ÷ 7 = 9\n\nThe mean is 9.", "answer": "9", "table": "**Club members' ages**\n\n| Name | Age (years) |\n| --- | --- |\n| Roger | 10 |\n| Emily | 8 |\n| Camille | 7 |\n| Ben | 7 |\n| Oscar | 13 |\n| Lindsey | 8 |\n| Shelby | 10 |" } ] }, { "id": "14985", "image": "14985.png", "conversations": [ { "from": "human", "question": "Layla went on a camping trip and logged the number of miles she hiked each day. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 5, 3, 8, 10, 2\n\nFirst, find the greatest number. The greatest number is 10.\n\nNext, find the least number. The least number is 2.\n\nSubtract the least number from the greatest number:\n\n10 − 2 = 8\n\nThe range is 8.", "answer": "8", "table": "**Miles hiked**\n\n| Day | Number of miles |\n| --- | --- |\n| Thursday | 6 |\n| Friday | 5 |\n| Saturday | 3 |\n| Sunday | 8 |\n| Monday | 10 |\n| Tuesday | 2 |" } ] }, { "id": "15014", "image": "15014.png", "conversations": [ { "from": "human", "question": "The Booneville Soup Company recorded the number of rotten tomatoes in each barrel it received. How many barrels had exactly 73 rotten tomatoes?\n" }, { "from": "gpt", "solution": "For the number 73, the stem is 7, and the leaf is 3. Find the row where the stem is 7. In that row, count all the leaves equal to 3.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 barrels had exactly 73 rotten tomatoes.", "answer": "4", "table": "**Rotten tomatoes per barrel**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0 |\n| 2 | |\n| 3 | |\n| 4 | |\n| 5 | |\n| 6 | |\n| 7 | 3, 3, 3, 3 |\n| 8 | 7, 8 |\n| 9 | 0 |" } ] }, { "id": "15016", "image": "15016.png", "conversations": [ { "from": "human", "question": "A researcher recorded the number of cows on each farm in the county. How many farms have exactly 48 cows?\n" }, { "from": "gpt", "solution": "For the number 48, the stem is 4, and the leaf is 8. Find the row where the stem is 4. In that row, count all the leaves equal to 8.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 farms have exactly 48 cows.", "answer": "3", "table": "**Cows per farm**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 8, 8, 8, 9 |\n| 5 | 7 |\n| 6 | 5 |\n| 7 | 6 |" } ] }, { "id": "15020", "image": "15020.png", "conversations": [ { "from": "human", "question": "Levi looked at his calendar to see how many hours he had worked in the past 5 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 8, 1, 2, 9\n\nFirst, arrange the numbers from least to greatest:\n\n1, 2, 8, 9, 9\n\nNow find the number in the middle.\n\n1, 2, 8, 9, 9\n\nThe number in the middle is 8.\n\nThe median is 8.", "answer": "8", "table": "**Hours worked**\n\n| Day | Hours |\n| --- | --- |\n| Monday | 9 |\n| Tuesday | 8 |\n| Wednesday | 1 |\n| Thursday | 2 |\n| Friday | 9 |" } ] }, { "id": "15022", "image": "15022.png", "conversations": [ { "from": "human", "question": "An agricultural agency is researching how much cheese people have been eating in different parts of the world. Which country consumed more cheese per capita in 1996, Germany or Austria?\n" }, { "from": "gpt", "solution": "Find the 1996 column. Compare the numbers in this column for Germany and Austria.\n\n12 is more than 10. Germany consumed more cheese per capita in 1996.", "answer": "Germany", "table": "**Cheese consumption per capita (kg)**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 1996 | 2006 |\n| Germany | 12 | 20 |\n| Austria | 10 | 17 |\n| Argentina | 11 | 11 |\n| Great Britain | 9 | 10 |\n| Canada | 10 | 11 |" } ] }, { "id": "15026", "image": "15026.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which class begins at 1.50 P.M.?\n" }, { "from": "gpt", "solution": "Find 1:50 P. M. on the schedule. Beginning Piano class begins at 1:50 P. M.", "answer": "Beginning Piano class", "table": "**Music teacher's schedule**\n\n| Class | Begin | End |\n| --- | --- | --- |\n| Reading Music | 8:50 A.M. | 9:45 A.M. |\n| Fifth Grade Choir | 9:55 A.M. | 11:00 A.M. |\n| Sixth Grade Choir | 11:05 A.M. | 12:10 P.M. |\n| Beginning Band | 12:20 P.M. | 1:40 P.M. |\n| Beginning Piano | 1:50 P.M. | 3:10 P.M. |" } ] }, { "id": "15030", "image": "15030.png", "conversations": [ { "from": "human", "question": "Carla looked at the dates of the digital photos on her computer to find out how many she had taken in the past 5 days. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n4, 4, 10, 4, 10\n\nFirst, arrange the numbers from least to greatest:\n\n4, 4, 4, 10, 10\n\nNow count how many times each number appears.\n\n4 appears 3 times.\n10 appears 2 times.\n\nThe number that appears most often is 4.\n\nThe mode is 4.", "answer": "4", "table": "**Photographs taken**\n\n| Day | Number of photographs |\n| --- | --- |\n| Sunday | 4 |\n| Monday | 4 |\n| Tuesday | 10 |\n| Wednesday | 4 |\n| Thursday | 10 |" } ] }, { "id": "15040", "image": "15040.png", "conversations": [ { "from": "human", "question": "Duncan's class paid attention to how many bottles each student collected for their recycling project. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n72, 74, 68, 81, 80, 76, 69, 80\n\nFirst, count how many numbers are in the group.\n\nThere are 8 numbers.\n\nNow add all the numbers together:\n\n72 + 74 + 68 + 81 + 80 + 76 + 69 + 80 = 600\n\nNow divide the sum by the number of numbers:\n\n600 ÷ 8 = 75\n\nThe mean is 75.", "answer": "75", "table": "**Bottles collected**\n\n| Name | Number of bottles |\n| --- | --- |\n| Duncan | 72 |\n| Ling | 74 |\n| Hayley | 68 |\n| Patty | 81 |\n| Belle | 80 |\n| Arianna | 76 |\n| Zack | 69 |\n| Shannon | 80 |" } ] }, { "id": "15042", "image": "15042.png", "conversations": [ { "from": "human", "question": "A flight attendant was counting the number of passengers present to see if any upgrades could be offered. The flight attendant's list contained passengers' Frequent Flyer status as well as number of bags checked. What is the probability that a randomly selected passenger has 1 checked bag and silver status? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the passenger has 1 checked bag\" and B be the event \"the passenger has silver status\".\nTo find the probability that a passenger has 1 checked bag and silver status, first identify the sample space and the event.\nThe outcomes in the sample space are the different passengers. Each passenger is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the passenger has 1 checked bag and silver status\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the passenger has 1 checked bag and silver status\", so look at the table to see how many passengers have 1 checked bag and silver status.\nThe number of passengers who have 1 checked bag and silver status is 4.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of passengers.\n4 + 8 + 4 + 4 = 20\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{4}{20}\n = \\frac{1}{5}\nThe probability that a passenger has 1 checked bag and silver status is \\frac{1}{5}.", "answer": "1/5", "table": "| | Bronze status | Silver status |\n| --- | --- | --- |\n| 0 checked bags | 4 | 4 |\n| 1 checked bag | 8 | 4 |" } ] }, { "id": "15043", "image": "15043.png", "conversations": [ { "from": "human", "question": "A publisher invited authors to write stories for a special anthology. How many authors wrote fewer than 3 stories?\n" }, { "from": "gpt", "solution": "Find the rows for 1 and 2 stories. Add the frequencies for these rows.\n\nAdd:\n\n8 + 3 = 11\n\n11 authors wrote fewer than 3 stories.", "answer": "11", "table": "**Writing stories**\n\n| Stories written | Frequency |\n| --- | --- |\n| 1 | 8 |\n| 2 | 3 |\n| 3 | 12 |\n| 4 | 2 |\n| 5 | 10 |\n| 6 | 6 |" } ] }, { "id": "15051", "image": "15051.png", "conversations": [ { "from": "human", "question": "How much money does Beth need to buy a mushroom pizza and lasagna?\n" }, { "from": "gpt", "solution": "Add the price of a mushroom pizza and the price of lasagna:\n\n$14.00 + $12.00 = $26.00\n\nBeth needs $26.00.", "answer": "26", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pasta with white sauce | $15.00 |\n| mushroom pizza | $14.00 |\n| pasta with clams | $11.00 |\n| pasta with pesto sauce | $10.00 |\n| lasagna | $12.00 |" } ] }, { "id": "15055", "image": "15055.png", "conversations": [ { "from": "human", "question": "Henry, a doctor's office receptionist, tracked the average waiting time at the office each month. According to the table, what was the rate of change between November and December?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{44 minutes - 45 minutes}{1 month}\n = \\frac{-1 minutes}{1 month}\n = -1 minutes per month\nThe rate of change between November and December was - 1 minutes per month.", "answer": "-1", "table": "**Average waiting time at a doctor's office**\n\n| Month | Waiting time (minutes) |\n| --- | --- |\n| August | 12 |\n| September | 25 |\n| October | 39 |\n| November | 45 |\n| December | 44 |" } ] }, { "id": "15065", "image": "15065.png", "conversations": [ { "from": "human", "question": "Several families compared how many vegetables they ate in a year. Which family ate the most vegetables?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 599.\n\nNow find the corresponding family. Pariseau family corresponds to 599.", "answer": "Pariseau family", "table": "**Vegetables eaten in a year**\n\n| Family | Number of vegetables eaten |\n| --- | --- |\n| McCullough family | 559 |\n| Pariseau family | 599 |\n| Grisham family | 589 |\n| Cartwright family | 585 |" } ] }, { "id": "15067", "image": "15067.png", "conversations": [ { "from": "human", "question": "Jill likes watching the show Engineering Marvels. In last night's episode, the engineering team visited a tall skyscraper and a deep mine. A banner at the bottom of the screen showed the elevation of each location the team visited. Which location is closer to sea level?\n" }, { "from": "gpt", "solution": "The top of the skyscraper has a positive elevation, so it is above sea level. The bottom of the mine has a negative elevation, so it is below sea level.\nTo find the location closer to sea level, use absolute value. Absolute value tells you how far each location is from sea level.\nTop of the skyscraper: |275| = 275\nBottom of the mine: |-260| = 260\nThe top of the skyscraper is 275 meters above sea level, but the bottom of the mine is only260 meters below sea level. The bottom of the mine is closer to sea level.", "answer": "bottom of the mine", "table": "| Location | Elevation (m) |\n| --- | --- |\n| Top of the skyscraper | 275 |\n| Bottom of the mine | -260 |" } ] }, { "id": "15073", "image": "15073.png", "conversations": [ { "from": "human", "question": "A charity recorded how many donations it received each month. How many total donations did the charity receive in July and August?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nJuly: 3,898\nAugust: 4,999\n\nNow add: 3,898 + 4,999 = 8,897.\n\nThe charity received 8,897 donations in July and August.", "answer": "8,897", "table": "**Charity donations**\n\n| Month | Number of donations |\n| --- | --- |\n| July | 3,898 |\n| August | 4,999 |\n| September | 2,029 |\n| October | 1,308 |\n| November | 3,546 |" } ] }, { "id": "15076", "image": "15076.png", "conversations": [ { "from": "human", "question": "The coach of the Academic Bowl recorded the scores in a trivia game to determine who would represent the school at the regional competition. How many people scored more than 9?\n" }, { "from": "gpt", "solution": "Find the row for 10 and read the frequency. The frequency is 14.\n\n14 people scored more than 9.", "answer": "14", "table": "**Scores in a trivia game**\n\n| Score | Frequency |\n| --- | --- |\n| 5 | 2 |\n| 6 | 8 |\n| 7 | 4 |\n| 8 | 11 |\n| 9 | 1 |\n| 10 | 14 |" } ] }, { "id": "15095", "image": "15095.png", "conversations": [ { "from": "human", "question": "Each bracelet has 10 opals. How many opals are on 4 bracelets?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 40 opals on 4 bracelets.", "answer": "40", "table": "| Number of bracelets | Number of opals |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | ? |" } ] }, { "id": "15101", "image": "15101.png", "conversations": [ { "from": "human", "question": "If Samir buys 5 kilograms of chocolate-covered almonds, how much will he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the chocolate-covered almonds. Multiply the price per kilogram by the number of kilograms.\n\n$1.30 × 5 = $6.50\n\nHe will spend $6.50.", "answer": "6.50", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| unsalted almonds | $1.82 per kilogram |\n| salted almonds | $1.17 per kilogram |\n| yogurt-covered almonds | $2.57 per kilogram |\n| chocolate-covered almonds | $1.30 per kilogram |\n| Jordan almonds | $1.65 per kilogram |" } ] }, { "id": "15102", "image": "15102.png", "conversations": [ { "from": "human", "question": "Each platter has 2 lemon bars. How many lemon bars are on 3 platters?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 6 lemon bars on 3 platters.", "answer": "6", "table": "| Number of platters | Number of lemon bars |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | ? |" } ] }, { "id": "15105", "image": "15105.png", "conversations": [ { "from": "human", "question": "Ms. Wong reported her students' scores on the most recent quiz. What is the lowest score?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 3.\n\nNow find the lowest leaf in the first row. The lowest leaf is 1.\n\nThe lowest score has a stem of 3 and a leaf of 1. Write the stem first, then the leaf: 31.\n\nThe lowest score is 31 points.", "answer": "31", "table": "**Quiz scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 1, 1, 2, 4, 6, 7, 7, 7 |\n| 4 | 3, 3, 4 |\n| 5 | 2, 3, 7, 9 |\n| 6 | |\n| 7 | 0, 7, 8, 9, 9 |" } ] }, { "id": "15114", "image": "15114.png", "conversations": [ { "from": "human", "question": "Danny jotted down how many baskets he made during basketball practice each day. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n2, 6, 9, 3, 10, 6\n\nFirst, count how many numbers are in the group.\n\nThere are 6 numbers.\n\nNow add all the numbers together:\n\n2 + 6 + 9 + 3 + 10 + 6 = 36\n\nNow divide the sum by the number of numbers:\n\n36 ÷ 6 = 6\n\nThe mean is 6.", "answer": "6", "table": "**Baskets made**\n\n| Day | Number of baskets |\n| --- | --- |\n| Thursday | 2 |\n| Friday | 6 |\n| Saturday | 9 |\n| Sunday | 3 |\n| Monday | 10 |\n| Tuesday | 6 |" } ] }, { "id": "15123", "image": "15123.png", "conversations": [ { "from": "human", "question": "Each crate has 10 boxes of blueberries. How many boxes of blueberries are in 5 crates?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 50 boxes of blueberries in 5 crates.", "answer": "50", "table": "| Number of crates | Number of boxes of blueberries |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | 40 |\n| 5 | ? |" } ] }, { "id": "15125", "image": "15125.png", "conversations": [ { "from": "human", "question": "Carter kept track of how many laps he swam during the past 4 days. On which day did Carter swim the fewest laps?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 34.\n\nNow find the corresponding day. Wednesday corresponds to 34.", "answer": "Wednesday", "table": "**Laps swum**\n\n| Day | Number of laps |\n| --- | --- |\n| Sunday | 39 |\n| Monday | 37 |\n| Tuesday | 35 |\n| Wednesday | 34 |" } ] }, { "id": "15127", "image": "15127.png", "conversations": [ { "from": "human", "question": "Dylan's classmates revealed how many science articles they read. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 5, 8, 9, 10, 9\n\nFirst, count how many numbers are in the group.\n\nThere are 6 numbers.\n\nNow add all the numbers together:\n\n7 + 5 + 8 + 9 + 10 + 9 = 48\n\nNow divide the sum by the number of numbers:\n\n48 ÷ 6 = 8\n\nThe mean is 8.", "answer": "8", "table": "**Science articles read**\n\n| Name | Number of science articles |\n| --- | --- |\n| Dylan | 7 |\n| Kenji | 5 |\n| Nellie | 8 |\n| Braden | 9 |\n| Tisha | 10 |\n| Maureen | 9 |" } ] }, { "id": "15130", "image": "15130.png", "conversations": [ { "from": "human", "question": "A food industry researcher compiled the revenues of several pizzerias. Which restaurant made more from pizzas, New York Slice or The Real Chicago?\n" }, { "from": "gpt", "solution": "Add the numbers in the New York Slice row. Then, add the numbers in the The Real Chicago row.\n\nNew York Slice: $10.00 + $19.00 = $29.00\nThe Real Chicago: $17.00 + $19.00 = $36.00\n\n$36.00 is more than $29.00. The Real Chicago made more from pizzas.", "answer": "The Real Chicago", "table": "**Pizza sales**\n\n| Restaurant | Cheese pizzas | Vegetarian pizzas |\n| --- | --- | --- |\n| New York Slice | $10 | $19 |\n| The Real Chicago | $17 | $19 |\n| Dan's Deep Dish | $6 | $12 |\n| The Big Cheese | $6 | $16 |" } ] }, { "id": "15135", "image": "15135.png", "conversations": [ { "from": "human", "question": "An architecture student measured the heights of all the buildings downtown. How many buildings are at least 27 meters tall?\n" }, { "from": "gpt", "solution": "Find the row with stem 2. Count all the leaves greater than or equal to 7.\n\nCount all the leaves in the rows with stems 3, 4, 5, 6, 7, and 8.\n\nYou counted 12 leaves, which are blue in the stem-and-leaf plots above. 12 buildings are at least 27 meters tall.", "answer": "12", "table": "**Building heights (meters)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 2, 7, 8 |\n| 2 | 3 |\n| 3 | 3, 4, 9 |\n| 4 | 0, 7 |\n| 5 | 4, 6, 8 |\n| 6 | 8, 9 |\n| 7 | 4 |\n| 8 | 1 |" } ] }, { "id": "15138", "image": "15138.png", "conversations": [ { "from": "human", "question": "The architecture student counted the number of bricks in each building in her neighborhood. How many buildings have at least 23 bricks?\n" }, { "from": "gpt", "solution": "Find the row with stem 2. Count all the leaves greater than or equal to 3.\n\nCount all the leaves in the rows with stems 3, 4, 5, 6, and 7.\n\nYou counted 16 leaves, which are blue in the stem-and-leaf plots above. 16 buildings have at least 23 bricks.", "answer": "16", "table": "**Bricks per building**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 2, 6 |\n| 2 | 0, 8 |\n| 3 | 1 |\n| 4 | 4, 5, 8, 8, 9 |\n| 5 | 1, 2, 2, 4 |\n| 6 | 1, 7, 8 |\n| 7 | 8, 9 |" } ] }, { "id": "15142", "image": "15142.png", "conversations": [ { "from": "human", "question": "Judy's class recorded how many cans of food each student collected for their canned food drive. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n5, 9, 4, 5, 8, 7, 9\n\nFirst, find the greatest number. The greatest number is 9.\n\nNext, find the least number. The least number is 4.\n\nSubtract the least number from the greatest number:\n\n9 − 4 = 5\n\nThe range is 5.", "answer": "5", "table": "**Cans of food collected**\n\n| Name | Number of cans of food |\n| --- | --- |\n| Judy | 5 |\n| Scarlett | 9 |\n| Hassan | 4 |\n| Nancy | 5 |\n| Laura | 8 |\n| Damon | 7 |\n| Valentina | 9 |" } ] }, { "id": "15150", "image": "15150.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $465, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $465, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $25 | 14,100 | 15,700 |\n| $135 | 12,400 | 17,300 |\n| $245 | 10,700 | 18,900 |\n| $355 | 9,000 | 20,500 |\n| $465 | 7,300 | 22,100 |" } ] }, { "id": "15152", "image": "15152.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does Dangerous Duck in Cartoon City begin?\n" }, { "from": "gpt", "solution": "Find Dangerous Duck in Cartoon City on the schedule. Find the beginning time for Dangerous Duck in Cartoon City.\n\nDangerous Duck in Cartoon City: 2:40 P. M.", "answer": "2:40 P.M.", "table": "**Movie schedule**\n\n| Movie | Begin | End |\n| --- | --- | --- |\n| Pirates in Pirate Ships | 7:10 A.M. | 8:30 A.M. |\n| Adventures in the Universe IV | 7:45 A.M. | 10:15 A.M. |\n| Two People Happy Together | 9:30 A.M. | 12:25 P.M. |\n| The Lonely Innkeeper of the West | 11:30 A.M. | 1:00 P.M. |\n| The Caped Hero Returns | 12:15 P.M. | 2:15 P.M. |\n| Wildlife in the Wild: Elephants | 1:20 P.M. | 3:35 P.M. |\n| Dangerous Duck in Cartoon City | 2:40 P.M. | 4:05 P.M. |" } ] }, { "id": "15153", "image": "15153.png", "conversations": [ { "from": "human", "question": "Professor Richmond compiled the scores from the last quiz. How many students scored less than 9?\n" }, { "from": "gpt", "solution": "Find the rows for 5, 6, 7, and 8. Add the frequencies for these rows.\n\nAdd:\n\n17 + 5 + 18 + 12 = 52\n\n52 students scored less than 9.", "answer": "52", "table": "**Scores on the last quiz**\n\n| Score | Frequency |\n| --- | --- |\n| 5 | 17 |\n| 6 | 5 |\n| 7 | 18 |\n| 8 | 12 |\n| 9 | 4 |\n| 10 | 13 |" } ] }, { "id": "15161", "image": "15161.png", "conversations": [ { "from": "human", "question": "Jeremiah has $429.00. Does he have enough to buy a pot-bellied pig and a hedgehog?\n" }, { "from": "gpt", "solution": "Add the price of a pot-bellied pig and the price of a hedgehog:\n\n$283.00 + $164.00 = $447.00\n\n$447.00 is more than $429.00. Jeremiah does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| rabbit | $111.00 |\n| pot-bellied pig | $283.00 |\n| king snake | $179.00 |\n| bearded dragon | $268.00 |\n| hedgehog | $164.00 |\n| iguana | $120.00 |" } ] }, { "id": "15162", "image": "15162.png", "conversations": [ { "from": "human", "question": "Nick counted the number of peanuts in each bag of trail mix. How many bags had at least 40 peanuts but fewer than 90 peanuts?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 4, 5, 6, 7, and 8.\n\nYou counted 5 leaves, which are blue in the stem-and-leaf plot above. 5 bags had at least 40 peanuts but fewer than 90 peanuts.", "answer": "5", "table": "**Peanuts per bag of trail mix**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 9 |\n| 3 | 3, 7 |\n| 4 | 7 |\n| 5 | |\n| 6 | 3 |\n| 7 | 7 |\n| 8 | 0, 8 |\n| 9 | 0 |" } ] }, { "id": "15164", "image": "15164.png", "conversations": [ { "from": "human", "question": "Avery went to the store and bought 1+1/4 kilograms of maple syrup. How much did she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the maple syrup. Multiply the price per kilogram by the number of kilograms.\n$1 × 1\\frac{1}{4} = $1 × 1.25 = $1.25\nShe spent $1.25.", "answer": "1.25", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| maple syrup | $1 per kg |\n| powdered sugar | $3 per kg |\n| dark brown sugar | $2 per kg |\n| light brown sugar | $1 per kg |\n| granulated sugar | $2 per kg |\n| agave syrup | $3 per kg |" } ] }, { "id": "15166", "image": "15166.png", "conversations": [ { "from": "human", "question": "An environmental agency examined how many trees were planted by different organizations. Which organization planted the fewest trees?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 62.\n\nNow find the corresponding organization. Heal the Earth corresponds to 62.", "answer": "Heal the Earth", "table": "**Trees planted**\n\n| Organization | Number of trees planted |\n| --- | --- |\n| Dreaming Green | 64 |\n| Mission Reforestation | 67 |\n| Trees for All | 65 |\n| Heal the Earth | 62 |" } ] }, { "id": "15170", "image": "15170.png", "conversations": [ { "from": "human", "question": "Perry's Treats counted how many times its most frequent customers ate ice cream last month. How many customers ate ice cream at least 1 time?\n" }, { "from": "gpt", "solution": "Find the rows for 1, 2, 3, 4, and 5 times. Add the frequencies for these rows.\n\nAdd:\n\n4 + 17 + 7 + 0 + 1 = 29\n\n29 customers ate ice cream at least 1 time.", "answer": "29", "table": "**Eating ice cream last month**\n\n| Times eaten | Frequency |\n| --- | --- |\n| 0 | 3 |\n| 1 | 4 |\n| 2 | 17 |\n| 3 | 7 |\n| 4 | 0 |\n| 5 | 1 |" } ] }, { "id": "15172", "image": "15172.png", "conversations": [ { "from": "human", "question": "The members of the swimming team compared how many laps they swam yesterday. Who swam the fewest laps?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 42.\n\nNow find the corresponding name. Haley corresponds to 42.", "answer": "Haley", "table": "**Swimming laps**\n\n| Name | Laps |\n| --- | --- |\n| Haley | 42 |\n| Carla | 49 |\n| Jackie | 45 |\n| Kirk | 48 |" } ] }, { "id": "15175", "image": "15175.png", "conversations": [ { "from": "human", "question": "How much money does Martin need to buy a board game and a toy piano?\n" }, { "from": "gpt", "solution": "Add the price of a board game and the price of a toy piano:\n\n$23.32 + $21.42 = $44.74\n\nMartin needs $44.74.", "answer": "44.74", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| boomerang | $15.03 |\n| trampoline | $76.67 |\n| model railroad set | $62.05 |\n| toy piano | $21.42 |\n| board game | $23.32 |\n| model airplane | $34.31 |" } ] }, { "id": "15176", "image": "15176.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. How long does it take to get from the shopping mall to the baseball stadium?\n" }, { "from": "gpt", "solution": "Read the times in the first column for the shopping mall and the baseball stadium.\n\nFind the elapsed time between 11:15 A. M. and 1:15 P. M. The elapsed time is 2 hours.\n\nNo matter which column of times you look at, the elapsed time is always 2 hours.", "answer": "2 hours", "table": "**Hotel shuttle bus schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 |\n| --- | --- | --- | --- |\n| park | 10:00 A.M. | 10:15 A.M. | 10:30 A.M. |\n| pizza place | 10:15 A.M. | 10:30 A.M. | 10:45 A.M. |\n| college campus | 11:00 A.M. | 11:15 A.M. | 11:30 A.M. |\n| shopping mall | 11:15 A.M. | 11:30 A.M. | 11:45 A.M. |\n| art museum | 12:15 P.M. | 12:30 P.M. | 12:45 P.M. |\n| baseball stadium | 1:15 P.M. | 1:30 P.M. | 1:45 P.M. |\n| bus station | 1:45 P.M. | 2:00 P.M. | 2:15 P.M. |" } ] }, { "id": "15189", "image": "15189.png", "conversations": [ { "from": "human", "question": "Tom counted the number of ducks at each pond in the city. What is the smallest number of ducks?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 3.\n\nNow find the lowest leaf in the first row. The lowest leaf is 2.\n\nThe smallest number of ducks has a stem of 3 and a leaf of 2. Write the stem first, then the leaf: 32.\n\nThe smallest number of ducks is 32 ducks.", "answer": "32", "table": "**Ducks per pond**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 2, 3, 5, 9 |\n| 4 | 5, 9 |\n| 5 | 5 |\n| 6 | 4, 9 |\n| 7 | 0, 4, 5 |\n| 8 | 2, 7, 9 |" } ] }, { "id": "15194", "image": "15194.png", "conversations": [ { "from": "human", "question": "A health instructor surveyed all her students, and tallied the results. The first survey question asked, \"Do you adhere to a vegetarian diet or omnivorous diet?\" The second question asked, \"If you were to buy a pet today, which animal would it be?\" What is the probability that a randomly selected student would buy a dog and adheres to an omnivorous diet? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the student would buy a dog\" and B be the event \"the student adheres to an omnivorous diet\".\nTo find the probability that a student would buy a dog and adheres to an omnivorous diet, first identify the sample space and the event.\nThe outcomes in the sample space are the different students. Each student is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the student would buy a dog and adheres to an omnivorous diet\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the student would buy a dog and adheres to an omnivorous diet\", so look at the table to see how many students would buy a dog and adhere to an omnivorous diet.\nThe number of students who would buy a dog and adhere to an omnivorous diet is 3.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of students.\n5 + 2 + 3 + 3 = 13\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{3}{13}\nThe probability that a student would buy a dog and adheres to an omnivorous diet is \\frac{3}{13}.", "answer": "3/13", "table": "| | A vegetarian diet | An omnivorous diet |\n| --- | --- | --- |\n| Dog | 5 | 3 |\n| Cat | 2 | 3 |" } ] }, { "id": "15197", "image": "15197.png", "conversations": [ { "from": "human", "question": "A pet store owner had his staff count the number of fish in each tank. What is the largest number of fish per tank?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 6.\n\nNow find the highest leaf in the last row. The highest leaf is 8.\n\nThe largest number of fish per tank has a stem of 6 and a leaf of 8. Write the stem first, then the leaf: 68.\n\nThe largest number of fish per tank is 68 fish.", "answer": "68", "table": "**Fish per tank**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 0, 2, 3, 4, 5 |\n| 2 | 8, 9 |\n| 3 | 1, 2, 3, 4, 4, 7 |\n| 4 | 8, 8, 8 |\n| 5 | 2, 9 |\n| 6 | 5, 6, 8 |" } ] }, { "id": "15199", "image": "15199.png", "conversations": [ { "from": "human", "question": "A city planner counted the number of floors per building in the downtown area. What is the smallest number of floors?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 1.\n\nNow find the lowest leaf in the first row. The lowest leaf is 0.\n\nThe smallest number of floors has a stem of 1 and a leaf of 0. Write the stem first, then the leaf: 10.\n\nThe smallest number of floors is 10 floors.", "answer": "10", "table": "**Floors per building**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 8 |\n| 2 | |\n| 3 | 0, 1, 4, 8 |\n| 4 | 6 |\n| 5 | |\n| 6 | 1, 4 |\n| 7 | 1, 1, 7, 9 |" } ] }, { "id": "15205", "image": "15205.png", "conversations": [ { "from": "human", "question": "Lola has $26.00. Does she have enough to buy a basketball ticket and a football ticket?\n" }, { "from": "gpt", "solution": "Add the price of a basketball ticket and the price of a football ticket:\n\n$10.00 + $18.00 = $28.00\n\n$28.00 is more than $26.00. Lola does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| car show ticket | $19.00 |\n| symphony ticket | $29.00 |\n| basketball ticket | $10.00 |\n| football ticket | $18.00 |" } ] }, { "id": "15212", "image": "15212.png", "conversations": [ { "from": "human", "question": "How much money does Cassie need to buy 8 fleece blankets and 9 quilts?\n" }, { "from": "gpt", "solution": "Find the cost of 8 fleece blankets.\n\n$10 × 8 = $80\n\nFind the cost of 9 quilts.\n\n$41 × 9 = $369\n\nNow find the total cost.\n\n$80 + $369 = $449\n\nCassie needs $449.", "answer": "449", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| navy blue bath mat | $13 |\n| quilt | $41 |\n| fleece blanket | $10 |\n| beach towel | $10 |\n| pillow | $14 |" } ] }, { "id": "15215", "image": "15215.png", "conversations": [ { "from": "human", "question": "A machine dispensed red gumdrops into bags of various sizes. How many bags had exactly 50 red gumdrops?\n" }, { "from": "gpt", "solution": "For the number 50, the stem is 5, and the leaf is 0. Find the row where the stem is 5. In that row, count all the leaves equal to 0.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 bags had exactly 50 red gumdrops.", "answer": "4", "table": "**Red gumdrops per bag**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 9 |\n| 4 | 5 |\n| 5 | 0, 0, 0, 0, 2, 8, 8 |\n| 6 | 7 |" } ] }, { "id": "15234", "image": "15234.png", "conversations": [ { "from": "human", "question": "Steve kept track of how long it took to finish his homework each day. According to the table, what was the rate of change between Thursday and Friday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{25 minutes - 17 minutes}{1 day}\n = \\frac{8 minutes}{1 day}\n = 8 minutes per day\nThe rate of change between Thursday and Friday was 8 minutes per day.", "answer": "8", "table": "**Time Steve spent on homework**\n\n| Day | Minutes |\n| --- | --- |\n| Tuesday | 17 |\n| Wednesday | 15 |\n| Thursday | 17 |\n| Friday | 25 |\n| Saturday | 29 |" } ] }, { "id": "15238", "image": "15238.png", "conversations": [ { "from": "human", "question": "Some friends compared the sizes of their stuffed animal collections. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n40, 42, 44, 38, 41\n\nFirst, count how many numbers are in the group.\n\nThere are 5 numbers.\n\nNow add all the numbers together:\n\n40 + 42 + 44 + 38 + 41 = 205\n\nNow divide the sum by the number of numbers:\n\n205 ÷ 5 = 41\n\nThe mean is 41.", "answer": "41", "table": "**Stuffed animal collections**\n\n| Name | Number of stuffed animals |\n| --- | --- |\n| Patty | 40 |\n| Bert | 42 |\n| Nancy | 44 |\n| Miles | 38 |\n| Charlotte | 41 |" } ] }, { "id": "15240", "image": "15240.png", "conversations": [ { "from": "human", "question": "Eve buys 2 pounds of rotini pasta. What is the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the rotini pasta. Multiply the price per pound by the number of pounds.\n\n$3.49 × 2 = $6.98\n\nThe total cost is $6.98.", "answer": "6.98", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| farfalle pasta | $3.36 per lb |\n| penne pasta | $3.68 per lb |\n| rotini pasta | $3.49 per lb |\n| spirali pasta | $5.19 per lb |" } ] }, { "id": "15244", "image": "15244.png", "conversations": [ { "from": "human", "question": "How much more does an emerald pendant cost than a diamond pendant?\n" }, { "from": "gpt", "solution": "Subtract the price of a diamond pendant from the price of an emerald pendant.\n\n$8,501 - $4,092 = $4,409\n\nAn emerald pendant costs $4,409 more than a diamond pendant.", "answer": "4,409", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pearl bracelet | $7,891 |\n| emerald pendant | $8,501 |\n| topaz pendant | $9,660 |\n| diamond pendant | $4,092 |" } ] }, { "id": "15249", "image": "15249.png", "conversations": [ { "from": "human", "question": "A law firm in Fairfax kept track of how many hours were billed by each partner last year. What fraction of the hours were billed by Lila? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many hours were billed by Lila.\n\n850\n\nFind how many hours were billed in total.\n\n520 + 580 + 850 + 850 + 940 + 610 = 4,350\n\nDivide 850 by 4,350.\n\n\\frac{850}{4,350}\n\nReduce the fraction.\n\n\\frac{850}{4,350} → \\frac{17}{87}\n\n\\frac{17}{87} of hours were billed by Lila.", "answer": "17/87", "table": "**Law firm hours billed**\n\n| Partner | Hours billed |\n| --- | --- |\n| Richard | 520 |\n| Hayley | 580 |\n| Troy | 850 |\n| Lila | 850 |\n| Kiara | 940 |\n| Tina | 610 |" } ] }, { "id": "15252", "image": "15252.png", "conversations": [ { "from": "human", "question": "A shipping company keeps track of the number of boxes in each shipment they send out. How many shipments had at least 20 boxes?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 2, 3, 4, 5, 6, and 7.\n\nYou counted 21 leaves, which are blue in the stem-and-leaf plot above. 21 shipments had at least 20 boxes.", "answer": "21", "table": "**Boxes per shipment**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 6 |\n| 2 | 0, 2, 3 |\n| 3 | 9, 9 |\n| 4 | 0, 1, 3, 5, 5 |\n| 5 | 5, 6, 9 |\n| 6 | 1, 3, 5, 5, 9 |\n| 7 | 1, 3, 4 |" } ] }, { "id": "15259", "image": "15259.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{8 - 14}{1 - 0}\n = \\frac{-6}{1}\n = -6\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{2 - 8}{2 - 1}\n = \\frac{-6}{1}\n = -6\nThe two rates of change are the same.\n6.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 0 | 14 |\n| 1 | 8 |\n| 2 | 2 |" } ] }, { "id": "15260", "image": "15260.png", "conversations": [ { "from": "human", "question": "Sasha went to the store and bought 1 kilogram of picture hooks and 2 kilograms of safety pins. How much did she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the picture hooks. Multiply:\n\n$1.67 × 1 = $1.67\n\nFind the cost of the safety pins. Multiply:\n\n$1.33 × 2 = $2.66\n\nNow find the total cost by adding:\n\n$1.67 + $2.66 = $4.33\n\nShe spent $4.33.", "answer": "4.33", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| teeth hooks | $1.81/kilogram |\n| safety pins | $1.33/kilogram |\n| pushpin hooks | $1.00/kilogram |\n| picture hooks | $1.67/kilogram |" } ] }, { "id": "15266", "image": "15266.png", "conversations": [ { "from": "human", "question": "After a field trip to the park, students in Mrs. Cameron's art class counted the number of leaf rubbings they had made. How many students did not make any leaf rubbings?\n" }, { "from": "gpt", "solution": "Find the row for 0 leaf rubbings and read the frequency. The frequency is 11.\n\n11 students did not make any leaf rubbings.", "answer": "11", "table": "**Making leaf rubbings**\n\n| Leaf rubbings made | Frequency |\n| --- | --- |\n| 0 | 11 |\n| 1 | 16 |\n| 2 | 12 |\n| 3 | 19 |\n| 4 | 15 |\n| 5 | 13 |" } ] }, { "id": "15271", "image": "15271.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does Ms. Hampton's class begin?\n" }, { "from": "gpt", "solution": "Find Ms. Hampton's class on the schedule. Find the beginning time for Ms. Hampton's class.\n\nMs. Hampton's class: 2:00 P. M.", "answer": "2:00 P.M.", "table": "**Library schedule**\n\n| Class | Begin | End |\n| --- | --- | --- |\n| Mr. Harper's class | 7:25 A.M. | 8:20 A.M. |\n| Mrs. Suzuki's class | 8:25 A.M. | 9:30 A.M. |\n| Mrs. Carlson's class | 9:50 A.M. | 10:20 A.M. |\n| Ms. Dyer's class | 10:30 A.M. | 11:10 A.M. |\n| Mr. Mason's class | 11:20 A.M. | 11:55 A.M. |\n| Mrs. McCoy's class | 12:00 P.M. | 12:45 P.M. |\n| Ms. Mueller's class | 1:05 P.M. | 1:55 P.M. |\n| Ms. Hampton's class | 2:00 P.M. | 2:50 P.M. |" } ] }, { "id": "15276", "image": "15276.png", "conversations": [ { "from": "human", "question": "How much money does Tommy need to buy a box of pasta and a bag of sugar?\n" }, { "from": "gpt", "solution": "Add the price of a box of pasta and the price of a bag of sugar:\n\n$3.58 + $4.36 = $7.94\n\nTommy needs $7.94.", "answer": "7.94", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| bag of sugar | $4.36 |\n| package of chocolate cookies | $1.23 |\n| bag of walnuts | $3.74 |\n| box of pasta | $3.58 |" } ] }, { "id": "15293", "image": "15293.png", "conversations": [ { "from": "human", "question": "For an economics project, Jim determined the cost of ferry rides for bicycles and cars. How much higher is the fare for a car on the Seattle-Bremerton ferry than on the Mukilteu-Clinton ferry?\n" }, { "from": "gpt", "solution": "Find the Car column. Find the numbers in this column for Seattle-Bremerton and Mukilteu-Clinton.\n\nSeattle-Bremerton: $12.00\nMukilteu-Clinton: $7.00\n\nNow subtract:\n\n$12.00 − $7.00 = $5.00\n\nThe fare for a car is $5 more on the Seattle-Bremerton ferry than on the Mukilteu-Clinton ferry.", "answer": "5", "table": "**Ferry fares**\n\n| Ferry | Car | Bicycle |\n| --- | --- | --- |\n| Southport-Fort Fisher | $5 | $2 |\n| Mukilteu-Clinton | $7 | $5 |\n| Ocracoke | $15 | $3 |\n| Fauntleroy-Vashon | $15 | $5 |\n| Seattle-Bremerton | $12 | $8 |" } ] }, { "id": "15294", "image": "15294.png", "conversations": [ { "from": "human", "question": "Centerville Flooring tracked the number of broken tiles in each shipment it received last year. How many shipments had exactly 65 broken tiles?\n" }, { "from": "gpt", "solution": "For the number 65, the stem is 6, and the leaf is 5. Find the row where the stem is 6. In that row, count all the leaves equal to 5.\n\nYou counted 0 leaves. 0 shipments had exactly 65 broken tiles.", "answer": "0", "table": "**Broken tiles per shipment**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 4 |\n| 5 | 7 |\n| 6 | 0, 9 |\n| 7 | 1, 3, 4, 7, 9 |\n| 8 | 7, 7 |" } ] }, { "id": "15306", "image": "15306.png", "conversations": [ { "from": "human", "question": "A philanthropic organization compared the amounts of money that its members donated to certain causes. Who donated the most money to hunger prevention?\n" }, { "from": "gpt", "solution": "Look at the numbers in the Hunger prevention column. Find the greatest number in this column.\n\nThe greatest number is $17.00, which is in the Nicholas row. Nicholas donated the most to hunger prevention.", "answer": "Nicholas", "table": "**Donations**\n\n| Person | Hunger prevention | Arts education |\n| --- | --- | --- |\n| Cody | $11 | $12 |\n| Jamal | $4 | $19 |\n| Dakota | $7 | $9 |\n| Nicholas | $17 | $15 |" } ] }, { "id": "15310", "image": "15310.png", "conversations": [ { "from": "human", "question": "Oliver, a doctor's office receptionist, tracked the average waiting time at the office each month. According to the table, what was the rate of change between July and August?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{39 minutes - 36 minutes}{1 month}\n = \\frac{3 minutes}{1 month}\n = 3 minutes per month\nThe rate of change between July and August was 3 minutes per month.", "answer": "3", "table": "**Average waiting time at a doctor's office**\n\n| Month | Waiting time (minutes) |\n| --- | --- |\n| June | 35 |\n| July | 36 |\n| August | 39 |\n| September | 40 |\n| October | 35 |" } ] }, { "id": "15319", "image": "15319.png", "conversations": [ { "from": "human", "question": "Carrie has $3.00. Does she have enough to buy a toothbrush and a bottle of mouthwash?\n" }, { "from": "gpt", "solution": "Add the price of a toothbrush and the price of a bottle of mouthwash:\n\n$1.66 + $1.39 = $3.05\n\n$3.05 is more than $3.00. Carrie does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| bottle of perfume | $9.16 |\n| bottle of hand lotion | $2.90 |\n| toothbrush | $1.66 |\n| lip balm | $1.29 |\n| bottle of mouthwash | $1.39 |\n| box of bandages | $3.02 |" } ] }, { "id": "15327", "image": "15327.png", "conversations": [ { "from": "human", "question": "What is the total cost for 3 pounds of vanilla pudding?\n" }, { "from": "gpt", "solution": "Find the cost of the vanilla pudding. Multiply the price per pound by the number of pounds.\n\n$6.07 × 3 = $18.21\n\nThe total cost is $18.21.", "answer": "18.21", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| vanilla pudding | $6.07/lb |\n| tapioca pudding | $2.71/lb |\n| chocolate pudding | $6.06/lb |\n| rice pudding | $5.05/lb |\n| butterscotch pudding | $4.67/lb |" } ] }, { "id": "15334", "image": "15334.png", "conversations": [ { "from": "human", "question": "Danny has $103.16. How much money will Danny have left if he buys a model airplane and a mystery game?\n" }, { "from": "gpt", "solution": "Find the total cost of a model airplane and a mystery game.\n\n$38.89 + $14.34 = $53.23\n\nNow subtract the total cost from the starting amount.\n\n$103.16 - $53.23 = $49.93\n\nDanny will have $49.93 left.", "answer": "49.93", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| toy guitar | $25.03 |\n| remote control car | $16.92 |\n| mystery game | $14.34 |\n| model airplane | $38.89 |\n| chess board | $12.98 |\n| trivia game | $31.99 |" } ] }, { "id": "15342", "image": "15342.png", "conversations": [ { "from": "human", "question": "A garden supply store kept track of how many lawn mowers it sold in the past 7 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 6, 3, 5, 4, 4, 7\n\nFirst, find the greatest number. The greatest number is 7.\n\nNext, find the least number. The least number is 3.\n\nSubtract the least number from the greatest number:\n\n7 − 3 = 4\n\nThe range is 4.", "answer": "4", "table": "**Lawn mowers sold**\n\n| Day | Number of lawn mowers |\n| --- | --- |\n| Friday | 6 |\n| Saturday | 6 |\n| Sunday | 3 |\n| Monday | 5 |\n| Tuesday | 4 |\n| Wednesday | 4 |\n| Thursday | 7 |" } ] }, { "id": "15345", "image": "15345.png", "conversations": [ { "from": "human", "question": "Beth and her friends recorded their scores while playing a board game. Which score did the fewest people receive?\n" }, { "from": "gpt", "solution": "Look at the frequency column. Find the least frequency. The least frequency is 1, which is in the row for 9. The fewest people scored 9.", "answer": "9", "table": "**Scores on a board game**\n\n| Score | Frequency |\n| --- | --- |\n| 6 | 12 |\n| 7 | 16 |\n| 8 | 3 |\n| 9 | 1 |\n| 10 | 6 |" } ] }, { "id": "15347", "image": "15347.png", "conversations": [ { "from": "human", "question": "The parks department compared how many soccer fields there are at each park. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n5, 1, 5, 5, 1, 8\n\nFirst, arrange the numbers from least to greatest:\n\n1, 1, 5, 5, 5, 8\n\nNow count how many times each number appears.\n\n1 appears 2 times.\n5 appears 3 times.\n8 appears 1 time.\n\nThe number that appears most often is 5.\n\nThe mode is 5.", "answer": "5", "table": "**Soccer fields**\n\n| Park | Number of soccer fields |\n| --- | --- |\n| Elmhurst Park | 5 |\n| Canyon Park | 1 |\n| Windy Hill Park | 5 |\n| Juniper Park | 5 |\n| Middle Park | 1 |\n| Lighthouse Park | 8 |" } ] }, { "id": "15350", "image": "15350.png", "conversations": [ { "from": "human", "question": "After a field trip to the park, students in Mrs. Garcia's art class counted the number of leaf rubbings they had made. How many students made at least 2 leaf rubbings?\n" }, { "from": "gpt", "solution": "Find the rows for 2 and 3 leaf rubbings. Add the frequencies for these rows.\n\nAdd:\n\n3 + 11 = 14\n\n14 students made at least 2 leaf rubbings.", "answer": "14", "table": "**Making leaf rubbings**\n\n| Leaf rubbings made | Frequency |\n| --- | --- |\n| 0 | 20 |\n| 1 | 13 |\n| 2 | 3 |\n| 3 | 11 |" } ] }, { "id": "15352", "image": "15352.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does the bus arrive at the movie theater?\n" }, { "from": "gpt", "solution": "Find the movie theater on the schedule. Find the arrival time for the movie theater.\n\nthe movie theater: 10:20 A. M.", "answer": "10:20 A.M.", "table": "**Bus schedule**\n\n| Location | Time |\n| --- | --- |\n| the movie theater | 10:20 A.M. |\n| the playground | 10:25 A.M. |\n| the grocery store | 11:05 A.M. |\n| the doctor's office | 11:35 A.M. |\n| the mall | 12:10 P.M. |\n| the school | 1:00 P.M. |" } ] }, { "id": "15354", "image": "15354.png", "conversations": [ { "from": "human", "question": "While working as a summer camp counselor, Florence monitored how many candy necklaces each child made. How many children made more than 1 candy necklace?\n" }, { "from": "gpt", "solution": "Find the rows for 2, 3, and 4 candy necklaces. Add the frequencies for these rows.\n\nAdd:\n\n16 + 0 + 14 = 30\n\n30 children made more than 1 candy necklace.", "answer": "30", "table": "**Making candy necklaces**\n\n| Candy necklaces made | Frequency |\n| --- | --- |\n| 0 | 20 |\n| 1 | 3 |\n| 2 | 16 |\n| 3 | 0 |\n| 4 | 14 |" } ] }, { "id": "15359", "image": "15359.png", "conversations": [ { "from": "human", "question": "Some students compared how many pets they have. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n10, 6, 3, 10, 5, 6, 4, 9\n\nFirst, find the greatest number. The greatest number is 10.\n\nNext, find the least number. The least number is 3.\n\nSubtract the least number from the greatest number:\n\n10 − 3 = 7\n\nThe range is 7.", "answer": "7", "table": "**Pets**\n\n| Name | Number of pets |\n| --- | --- |\n| Mary | 10 |\n| Ava | 6 |\n| Samantha | 3 |\n| Kendall | 10 |\n| Dana | 5 |\n| Rachel | 6 |\n| Erik | 4 |\n| Tiana | 9 |" } ] }, { "id": "15360", "image": "15360.png", "conversations": [ { "from": "human", "question": "To get a rough estimate of his melon farm's profits for the year, Justin decided to look at some data about melon prices in the past. In 1997, how much more did a container of cantaloupes cost than a container of watermelons?\n" }, { "from": "gpt", "solution": "Find the 1997 column. Find the numbers in this column for cantaloupes and watermelons.\n\ncantaloupes: $7.00\nwatermelons: $3.00\n\nNow subtract:\n\n$7.00 − $3.00 = $4.00\n\nIn 1997, a container of cantaloupes cost $4 more than a container of watermelons.", "answer": "4", "table": "**Melon price per container**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Kind of melon | 1996 | 1997 |\n| Watermelons | $3 | $3 |\n| Cantaloupes | $8 | $7 |\n| Honeydews | $7 | $7 |" } ] }, { "id": "15362", "image": "15362.png", "conversations": [ { "from": "human", "question": "How much money does Bob need to buy a robot stamp and a duck stamp?\n" }, { "from": "gpt", "solution": "Add the price of a robot stamp and the price of a duck stamp:\n\n$0.03 + $0.01 = $0.04\n\nBob needs $0.04.", "answer": "0.04", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| airplane stamp | $0.08 |\n| butterfly stamp | $0.03 |\n| duck stamp | $0.01 |\n| coyote stamp | $0.06 |\n| tulip stamp | $0.05 |\n| robot stamp | $0.03 |" } ] }, { "id": "15369", "image": "15369.png", "conversations": [ { "from": "human", "question": "A shipping company keeps track of the number of boxes in each shipment they send out. How many shipments had at least 10 boxes but fewer than 50 boxes?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1, 2, 3, and 4.\n\nYou counted 16 leaves, which are blue in the stem-and-leaf plot above. 16 shipments had at least 10 boxes but fewer than 50 boxes.", "answer": "16", "table": "**Boxes per shipment**\n\n| Stem | Leaf |\n| --- | --- |\n| 0 | 6, 6, 9, 9, 9 |\n| 1 | 0, 1, 9 |\n| 2 | 1, 3, 5, 7 |\n| 3 | 0, 1, 6, 8 |\n| 4 | 1, 1, 2, 6, 9 |\n| 5 | 0, 3, 3, 9 |" } ] }, { "id": "15375", "image": "15375.png", "conversations": [ { "from": "human", "question": "Each toy bin has 2 red blocks. How many red blocks are in 5 toy bins?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 10 red blocks in 5 toy bins.", "answer": "10", "table": "| Number of toy bins | Number of red blocks |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | 6 |\n| 4 | 8 |\n| 5 | ? |" } ] }, { "id": "15379", "image": "15379.png", "conversations": [ { "from": "human", "question": "An auto manufacturer tracked the number of vehicles sold by each of its dealerships. Which dealership sold the fewest trucks?\n" }, { "from": "gpt", "solution": "Look at the numbers in the Trucks column. Find the least number in this column.\n\nThe least number is 12, which is in the Tommy's Auto Warehouse row. Tommy's Auto Warehouse sold the fewest trucks.", "answer": "Tommy's Auto Warehouse", "table": "**Vehicle sales**\n\n| Dealership | Trucks | SUVs |\n| --- | --- | --- |\n| RV City | 17 | 17 |\n| Bob's Value Cars | 13 | 17 |\n| Tommy's Auto Warehouse | 12 | 20 |\n| Truck Town | 16 | 19 |\n| Car City | 15 | 20 |" } ] }, { "id": "15381", "image": "15381.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $65, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $65, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $35 | 21,100 | 12,300 |\n| $45 | 18,400 | 14,600 |\n| $55 | 15,700 | 16,900 |\n| $65 | 13,000 | 19,200 |\n| $75 | 10,300 | 21,500 |" } ] }, { "id": "15382", "image": "15382.png", "conversations": [ { "from": "human", "question": "A charity recorded how many donations it received each month. In which month did the charity receive the most donations?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 385.\n\nNow find the corresponding month. May corresponds to 385.", "answer": "May", "table": "**Charity donations**\n\n| Month | Number of donations |\n| --- | --- |\n| February | 338 |\n| March | 358 |\n| April | 353 |\n| May | 385 |" } ] }, { "id": "15386", "image": "15386.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which stop does the train depart from at 12.15 P.M.?\n" }, { "from": "gpt", "solution": "Find 12:15 P. M. on the schedule. The train departs from the elementary school at 12:15 P. M.", "answer": "elementary school", "table": "**Light rail train schedule**\n\n| Location | Time |\n| --- | --- |\n| city hall | 10:40 A.M. |\n| downtown | 11:10 A.M. |\n| library | 11:30 A.M. |\n| university | 12:00 P.M. |\n| elementary school | 12:15 P.M. |\n| town square | 12:30 P.M. |\n| swimming pool | 12:40 P.M. |\n| science museum | 12:45 P.M. |\n| soccer field | 1:00 P.M. |" } ] }, { "id": "15392", "image": "15392.png", "conversations": [ { "from": "human", "question": "Principal Garza reported the state test scores from some students at her school. How many students scored at least 31 points but fewer than 36 points?\n" }, { "from": "gpt", "solution": "Find the row with stem 3. Count all the leaves greater than or equal to 1 and less than 6.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 students scored at least 31 points but fewer than 36 points.", "answer": "2", "table": "**Test scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1, 3, 4, 8 |\n| 2 | 0, 8 |\n| 3 | 1, 4, 6, 7, 9 |\n| 4 | 2, 8, 9 |\n| 5 | 3, 4, 9 |\n| 6 | 0 |\n| 7 | 3, 6, 6, 9 |\n| 8 | 3, 9 |" } ] }, { "id": "15397", "image": "15397.png", "conversations": [ { "from": "human", "question": "The players on a quiz show received the following scores. Who had the highest score?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 452.\n\nNow find the corresponding name. Wesley corresponds to 452.", "answer": "Wesley", "table": "**Quiz show scores**\n\n| Name | Score |\n| --- | --- |\n| Vince | 445 |\n| Herman | 425 |\n| Tom | 422 |\n| Wesley | 452 |" } ] }, { "id": "15404", "image": "15404.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $840, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $840, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $680 | 16,000 | 7,200 |\n| $760 | 14,800 | 10,200 |\n| $840 | 13,600 | 13,200 |\n| $920 | 12,400 | 16,200 |\n| $1,000 | 11,200 | 19,200 |" } ] }, { "id": "15409", "image": "15409.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{10 - 1}{8 - 7}\n = \\frac{9}{1}\n = 9\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{19 - 10}{9 - 8}\n = \\frac{9}{1}\n = 9\nThe two rates of change are the same.\nIf you checked the rate of change between rows 1 and 3, you would find that it is also 9.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 7 | 1 |\n| 8 | 10 |\n| 9 | 19 |" } ] }, { "id": "15412", "image": "15412.png", "conversations": [ { "from": "human", "question": "Dustin has $94.00. Does he have enough to buy a picnic table and a rosebush?\n" }, { "from": "gpt", "solution": "Add the price of a picnic table and the price of a rosebush:\n\n$69.00 + $32.00 = $101.00\n\n$101.00 is more than $94.00. Dustin does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| lawn ornament | $57.00 |\n| beach umbrella | $80.00 |\n| red clay pot | $31.00 |\n| picnic table | $69.00 |\n| rosebush | $32.00 |" } ] }, { "id": "15415", "image": "15415.png", "conversations": [ { "from": "human", "question": "A researcher recorded the number of cows on each farm in the county. How many farms have exactly 54 cows?\n" }, { "from": "gpt", "solution": "For the number 54, the stem is 5, and the leaf is 4. Find the row where the stem is 5. In that row, count all the leaves equal to 4.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 farms have exactly 54 cows.", "answer": "2", "table": "**Cows per farm**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 7, 9 |\n| 2 | 7 |\n| 3 | 2, 8 |\n| 4 | 9 |\n| 5 | 4, 4 |\n| 6 | |\n| 7 | |\n| 8 | 4, 5 |" } ] }, { "id": "15417", "image": "15417.png", "conversations": [ { "from": "human", "question": "The architecture student counted the number of bricks in each building in her neighborhood. How many buildings have exactly 11 bricks?\n" }, { "from": "gpt", "solution": "For the number 11, the stem is 1, and the leaf is 1. Find the row where the stem is 1. In that row, count all the leaves equal to 1.\n\nYou counted 1 leaf, which is blue in the stem-and-leaf plot above. 1 building has exactly11 bricks.", "answer": "1", "table": "**Bricks per building**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1, 8 |\n| 2 | 0 |\n| 3 | 8 |\n| 4 | 0, 2 |\n| 5 | 0, 3, 7 |\n| 6 | 5 |\n| 7 | 6 |\n| 8 | 3 |\n| 9 | 0 |" } ] }, { "id": "15424", "image": "15424.png", "conversations": [ { "from": "human", "question": "Rose went to the store. She bought 1+4/5 pounds of pepper. How much did she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the pepper. Multiply the price per pound by the number of pounds.\n$4 × 1\\frac{4}{5} = $4 × 1.8 = $7.20\nShe spent $7.20.", "answer": "7.20", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pepper | $4/lb |\n| coriander | $8/lb |\n| paprika | $5/lb |\n| cumin | $7/lb |\n| cinnamon | $8/lb |" } ] }, { "id": "15435", "image": "15435.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does the starfish demonstration end?\n" }, { "from": "gpt", "solution": "Find the starfish demonstration on the schedule. Find the end time for the starfish demonstration.\n\nstarfish demonstration: 10:05 A. M.", "answer": "10:05 A.M.", "table": "**Aquarium schedule**\n\n| Event | Begin | End |\n| --- | --- | --- |\n| starfish demonstration | 8:50 A.M. | 10:05 A.M. |\n| whale feeding | 10:10 A.M. | 11:15 A.M. |\n| shark lecture | 11:25 A.M. | 12:35 P.M. |\n| jellyfish lecture | 1:15 P.M. | 1:55 P.M. |\n| octopus lecture | 3:10 P.M. | 3:50 P.M. |\n| seahorse lecture | 3:25 P.M. | 3:55 P.M. |\n| dolphin show | 5:00 P.M. | 6:10 P.M. |" } ] }, { "id": "15436", "image": "15436.png", "conversations": [ { "from": "human", "question": "Charlie has $1.34. Does he have enough to buy a bottle of hot sauce and a jar of tomato sauce?\n" }, { "from": "gpt", "solution": "Add the price of a bottle of hot sauce and the price of a jar of tomato sauce:\n\n$0.95 + $0.41 = $1.36\n\n$1.36 is more than $1.34. Charlie does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| bottle of hot sauce | $0.95 |\n| bottle of mustard | $0.91 |\n| bottle of vinegar | $0.46 |\n| bottle of soy sauce | $0.77 |\n| bottle of ketchup | $0.94 |\n| jar of tomato sauce | $0.41 |" } ] }, { "id": "15438", "image": "15438.png", "conversations": [ { "from": "human", "question": "Gabby is shopping for a new bicycle. She is most interested in color and type of tires. What is the probability that a randomly selected bike has mountain bike tires and is red? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the bike has mountain bike tires\" and B be the event \"the bike is red\".\nTo find the probability that a bike has mountain bike tires and is red, first identify the sample space and the event.\nThe outcomes in the sample space are the different bikes. Each bike is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the bike has mountain bike tires and is red\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the bike has mountain bike tires and is red\", so look at the table to see how many bikes have mountain bike tires and are a red.\nThe number of bikes that have mountain bike tires and are a red is 3.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of bikes.\n5 + 3 + 3 + 1 = 12\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{3}{12}\n = \\frac{1}{4}\nThe probability that a bike has mountain bike tires and is red is \\frac{1}{4}.", "answer": "1/4", "table": "| | Red | Green |\n| --- | --- | --- |\n| Road bike tires | 5 | 3 |\n| Mountain bike tires | 3 | 1 |" } ] }, { "id": "15452", "image": "15452.png", "conversations": [ { "from": "human", "question": "Tony's Candies has been studying how much chocolate people have been eating in different countries. In 2005, how much more chocolate did Germany consume per capita than Sweden?\n" }, { "from": "gpt", "solution": "Find the 2005 column. Find the numbers in this column for Germany and Sweden.\n\nGermany: 11\nSweden: 7\n\nNow subtract:\n\n11 − 7 = 4\n\nIn 2005, Germany consumed 4 kilograms more chocolate per capita than Sweden.", "answer": "4", "table": "**Chocolate consumption per capita (kg)**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 2002 | 2005 |\n| Norway | 8 | 9 |\n| Germany | 10 | 11 |\n| Sweden | 8 | 7 |\n| Switzerland | 11 | 10 |\n| Australia | 4 | 5 |" } ] }, { "id": "15458", "image": "15458.png", "conversations": [ { "from": "human", "question": "A waitress kept track of how many hours she worked each day. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n5, 3, 5, 5, 4\n\nFirst, arrange the numbers from least to greatest:\n\n3, 4, 5, 5, 5\n\nNow find the number in the middle.\n\n3, 4, 5, 5, 5\n\nThe number in the middle is 5.\n\nThe median is 5.", "answer": "5", "table": "**Hours worked**\n\n| Day | Hours |\n| --- | --- |\n| Saturday | 5 |\n| Sunday | 3 |\n| Monday | 5 |\n| Tuesday | 5 |\n| Wednesday | 4 |" } ] }, { "id": "15468", "image": "15468.png", "conversations": [ { "from": "human", "question": "Mrs. Griffith polled her class to decide which flavors of popsicles to bring to the party on the last day of school. Did more children vote for strawberry popsicles or lemon popsicles?\n" }, { "from": "gpt", "solution": "Add the numbers in the Strawberry row. Then, add the numbers in the Lemon row.\n\nstrawberry: 8 + 18 = 26\nlemon: 1 + 12 = 13\n\n26 is more than 13. More children voted for strawberry popsicles.", "answer": "strawberry", "table": "**Favorite popsicle flavors**\n\n| Popsicle flavor | Boys | Girls |\n| --- | --- | --- |\n| Grape | 8 | 18 |\n| Blue raspberry | 18 | 8 |\n| Strawberry | 8 | 18 |\n| Lemon | 1 | 12 |\n| Orange | 5 | 20 |" } ] }, { "id": "15470", "image": "15470.png", "conversations": [ { "from": "human", "question": "Some students compared how many blocks they live from school. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n5, 12, 17, 12, 17, 19, 16\n\nFirst, arrange the numbers from least to greatest:\n\n5, 12, 12, 16, 17, 17, 19\n\nNow find the number in the middle.\n\n5, 12, 12, 16, 17, 17, 19\n\nThe number in the middle is 16.\n\nThe median is 16.", "answer": "16", "table": "**Blocks from school**\n\n| Name | Number of blocks |\n| --- | --- |\n| Nicole | 5 |\n| Rafi | 12 |\n| Percy | 17 |\n| Daniel | 12 |\n| Judy | 17 |\n| Angie | 19 |\n| Camille | 16 |" } ] }, { "id": "15473", "image": "15473.png", "conversations": [ { "from": "human", "question": "Mrs. Shah told students how many rounds to expect in the spelling bee based on previous years. According to the table, what was the rate of change between 2018 and 2019?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{13 rounds - 7 rounds}{2019 - 2018}\n = \\frac{13 rounds - 7 rounds}{1 year}\n = \\frac{6 rounds}{1 year}\n = 6 rounds per year\nThe rate of change between 2018 and 2019 was 6 rounds per year.", "answer": "6", "table": "**Rounds in the spelling bee**\n\n| Year | Rounds |\n| --- | --- |\n| 2017 | 15 |\n| 2018 | 7 |\n| 2019 | 13 |\n| 2020 | 11 |\n| 2021 | 12 |" } ] }, { "id": "15475", "image": "15475.png", "conversations": [ { "from": "human", "question": "Some students compared how many blocks they live from school. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n20, 12, 11, 14, 20, 15, 15\n\nFirst, arrange the numbers from least to greatest:\n\n11, 12, 14, 15, 15, 20, 20\n\nNow find the number in the middle.\n\n11, 12, 14, 15, 15, 20, 20\n\nThe number in the middle is 15.\n\nThe median is 15.", "answer": "15", "table": "**Blocks from school**\n\n| Name | Number of blocks |\n| --- | --- |\n| Miles | 20 |\n| Tisha | 12 |\n| Patrick | 11 |\n| Lucy | 14 |\n| Darnel | 20 |\n| Olivia | 15 |\n| Norma | 15 |" } ] }, { "id": "15476", "image": "15476.png", "conversations": [ { "from": "human", "question": "Each closet has 5 scarves. How many scarves are in 5 closets?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 25 scarves in 5 closets.", "answer": "25", "table": "| Number of closets | Number of scarves |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | 20 |\n| 5 | ? |" } ] }, { "id": "15480", "image": "15480.png", "conversations": [ { "from": "human", "question": "A pencil company revealed how many pencils it sold in the past 3 months. How many pencils in total did the company sell in January and March?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nJanuary: 7,424\nMarch: 1,229\n\nNow add: 7,424 + 1,229 = 8,653.\n\nThe company sold 8,653 pencils in January and March.", "answer": "8,653", "table": "**Pencils sold**\n\n| Month | Number of pencils |\n| --- | --- |\n| January | 7,424 |\n| February | 1,480 |\n| March | 1,229 |" } ] }, { "id": "15483", "image": "15483.png", "conversations": [ { "from": "human", "question": "At a science museum, visitors can compete to see who has a faster reaction time. Competitors watch a red screen, and the moment they see it turn from red to green, they push a button. The machine records their reaction times and also asks competitors to report their gender. What is the probability that a randomly selected competitor reacted in less than 0.3 seconds and was female? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the competitor reacted in less than 0.3 seconds\" and B be the event \"the competitor was female\".\nTo find the probability that a competitor reacted in less than 0.3 seconds and was female, first identify the sample space and the event.\nThe outcomes in the sample space are the different competitors. Each competitor is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the competitor reacted in less than 0.3 seconds and was female\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the competitor reacted in less than 0.3 seconds and was female\", so look at the table to see how many competitors reacted in less than 0.3 seconds and were female.\nThe number of competitors who reacted in less than 0.3 seconds and were female is 4.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of competitors.\n3 + 1 + 4 + 2 = 10\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{4}{10}\n = \\frac{2}{5}\nThe probability that a competitor reacted in less than 0.3 seconds and was female is \\frac{2}{5}.", "answer": "2/5", "table": "| | Male | Female |\n| --- | --- | --- |\n| Less than 0.3 seconds | 3 | 4 |\n| 0.3 to 0.7 seconds | 1 | 2 |" } ] }, { "id": "15489", "image": "15489.png", "conversations": [ { "from": "human", "question": "The research department of a board game company surveyed some shoppers at a local mall. The team asked shoppers how often they read the newspaper, among other questions. Then the team played a memory card game with the shoppers. They recorded how many cards each shopper remembered. What is the probability that a randomly selected shopper reads the newspaper 1-2 times a week and remembered 1-3 cards? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the shopper reads the newspaper 1-2 times a week\" and B be the event \"the shopper remembered 1-3 cards\".\nTo find the probability that a shopper reads the newspaper 1-2 times a week and remembered 1-3 cards, first identify the sample space and the event.\nThe outcomes in the sample space are the different shoppers. Each shopper is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the shopper reads the newspaper 1-2 times a week and remembered 1-3 cards\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the shopper reads the newspaper 1-2 times a week and remembered 1-3 cards\", so look at the table to see how many shoppers read the newspaper 1-2 times a week and remembered 1-3 cards.\nThe number of shoppers who read the newspaper 1-2 times a week and remembered 1-3 cards is 5.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of shoppers.\n3 + 5 + 5 + 6 = 19\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{5}{19}\nThe probability that a shopper reads the newspaper 1-2 times a week and remembered 1-3 cards is \\frac{5}{19}.", "answer": "5/19", "table": "| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| | 1-3 cards | 4-6 cards |\n| 0 times a week | 3 | 5 |\n| 1-2 times a week | 5 | 6 |" } ] }, { "id": "15490", "image": "15490.png", "conversations": [ { "from": "human", "question": "Wayne has two dogs, Sprinkles and Champ. He is concerned because Sprinkles keeps eating Champ's food. Wayne asks their vet how much each dog's weight has changed since their last visit. Which dog's weight has changed the most?\n" }, { "from": "gpt", "solution": "To find which dog's weight changed the most, use absolute value. Absolute value tells you how much each dog's weight has changed.\nSprinkles: |5| = 5\nChamp: |-6| = 6\nChamp's weight has changed the most. He has lost 6 ounces.", "answer": "Champ", "table": "| Dog | Weight change (oz.) |\n| --- | --- |\n| Sprinkles | 5 |\n| Champ | -6 |" } ] }, { "id": "15496", "image": "15496.png", "conversations": [ { "from": "human", "question": "An administrator at the Department of Motor Vehicles (DMV) tracked the average wait time from month to month. According to the table, what was the rate of change between October and November?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{24 minutes - 23 minutes}{1 month}\n = \\frac{1 minute}{1 month}\n = 1 minute per month\nThe rate of change between October and November was 1 minute per month.", "answer": "1", "table": "**Average waiting time at the DMV**\n\n| Month | Waiting time (minutes) |\n| --- | --- |\n| August | 14 |\n| September | 26 |\n| October | 23 |\n| November | 24 |\n| December | 9 |" } ] }, { "id": "15498", "image": "15498.png", "conversations": [ { "from": "human", "question": "A crayon factory monitored the number of broken crayons per box during the past day. How many boxes had at least 46 broken crayons?\n" }, { "from": "gpt", "solution": "Find the row with stem 4. Count all the leaves greater than or equal to 6.\n\nCount all the leaves in the rows with stems 5, 6, 7, and 8.\n\nYou counted 10 leaves, which are blue in the stem-and-leaf plots above. 10 boxes had at least 46 broken crayons.", "answer": "10", "table": "**Broken crayons per box**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 0, 3, 6, 7 |\n| 5 | 2, 2, 6, 7 |\n| 6 | |\n| 7 | 7, 9 |\n| 8 | 5, 6 |" } ] }, { "id": "15506", "image": "15506.png", "conversations": [ { "from": "human", "question": "Melissa has $0.35. Does she have enough to buy a gummy worm and a gumball?\n" }, { "from": "gpt", "solution": "Add the price of a gummy worm and the price of a gumball:\n\n$0.19 + $0.18 = $0.37\n\n$0.37 is more than $0.35. Melissa does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| gummy worm | $0.19 |\n| chocolate-covered cherry | $0.26 |\n| gumball | $0.18 |\n| cinnamon candy | $0.10 |" } ] }, { "id": "15520", "image": "15520.png", "conversations": [ { "from": "human", "question": "How much money does Bridget need to buy 3 hammocks and 8 nightstands?\n" }, { "from": "gpt", "solution": "Find the cost of 3 hammocks.\n\n$73.09 × 3 = $219.27\n\nFind the cost of 8 nightstands.\n\n$87.86 × 8 = $702.88\n\nNow find the total cost.\n\n$219.27 + $702.88 = $922.15\n\nBridget needs $922.15.", "answer": "922.15", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| wooden stool | $13.85 |\n| footstool | $20.15 |\n| nightstand | $87.86 |\n| hammock | $73.09 |\n| rocking chair | $74.09 |" } ] }, { "id": "15521", "image": "15521.png", "conversations": [ { "from": "human", "question": "An environmental agency examined how many trees were planted by different organizations. In all, how many trees were planted by New Planet and Plant It?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nNew Planet: 207\nPlant It: 371\n\nNow add: 207 + 371 = 578.\n\nIn all, 578 trees were planted by New Planet and Plant It.", "answer": "578", "table": "**Trees planted**\n\n| Organization | Number of trees planted |\n| --- | --- |\n| Make it Green | 270 |\n| Dreaming Green | 454 |\n| New Planet | 207 |\n| Plant It | 371 |" } ] }, { "id": "15522", "image": "15522.png", "conversations": [ { "from": "human", "question": "How much money does Francesca need to buy 7 golf tickets and 6 tennis tickets?\n" }, { "from": "gpt", "solution": "Find the cost of 7 golf tickets.\n\n$31.71 × 7 = $221.97\n\nFind the cost of 6 tennis tickets.\n\n$60.44 × 6 = $362.64\n\nNow find the total cost.\n\n$221.97 + $362.64 = $584.61\n\nFrancesca needs $584.61.", "answer": "584.61", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| tennis ticket | $60.44 |\n| golf ticket | $31.71 |\n| football ticket | $62.41 |\n| baseball ticket | $41.71 |" } ] }, { "id": "15523", "image": "15523.png", "conversations": [ { "from": "human", "question": "How much more does a play ticket cost than a car show ticket?\n" }, { "from": "gpt", "solution": "Subtract the price of a car show ticket from the price of a play ticket.\n\n$47 - $28 = $19\n\nA play ticket costs $19 more than a car show ticket.", "answer": "19", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| figure skating ticket | $52 |\n| car show ticket | $28 |\n| play ticket | $47 |\n| ballet ticket | $59 |" } ] }, { "id": "15524", "image": "15524.png", "conversations": [ { "from": "human", "question": "An employee at the craft store counted the number of red buttons in each bag of mixed buttons. How many bags had at least 52 red buttons but fewer than 65 red buttons?\n" }, { "from": "gpt", "solution": "Find the row with stem 5. Count all the leaves greater than or equal to 2.\n\nIn the row with stem 6, count all the leaves less than 5.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plots above. 3 bags had at least 52 red buttons but fewer than 65 red buttons.", "answer": "3", "table": "**Red buttons per bag**\n\n| Stem | Leaf |\n| --- | --- |\n| 0 | 0, 0, 2, 7 |\n| 1 | 1, 2, 7, 7, 9 |\n| 2 | 2, 2 |\n| 3 | 0, 0, 3, 3, 8, 8 |\n| 4 | 0, 3, 5 |\n| 5 | 5 |\n| 6 | 0, 3, 5, 7 |" } ] }, { "id": "15528", "image": "15528.png", "conversations": [ { "from": "human", "question": "An employee at the craft store counted the number of red buttons in each bag of mixed buttons. How many bags had at least 20 red buttons but fewer than 80 red buttons?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 2, 3, 4, 5, 6, and 7.\n\nYou counted 7 leaves, which are blue in the stem-and-leaf plot above. 7 bags had at least 20 red buttons but fewer than 80 red buttons.", "answer": "7", "table": "**Red buttons per bag**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 2 |\n| 2 | 3, 9 |\n| 3 | 1, 3, 5, 8 |\n| 4 | |\n| 5 | 7 |\n| 6 | |\n| 7 | |\n| 8 | 7 |\n| 9 | 0 |" } ] }, { "id": "15536", "image": "15536.png", "conversations": [ { "from": "human", "question": "Castroville University offers four applied majors and monitors the number of students in each. What fraction of the students in applied majors are majoring in mechanical engineering? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many students are majoring in mechanical engineering.\n\n200\n\nFind how many total students are in all the applied majors.\n\n170 + 470 + 280 + 200 = 1,120\n\nDivide 200 by1,120.\n\n\\frac{200}{1,120}\n\nReduce the fraction.\n\n\\frac{200}{1,120} → \\frac{5}{28}\n\n\\frac{5}{28} of students are majoring in mechanical engineering.", "answer": "5/28", "table": "**Students in applied majors**\n\n| School | Intake |\n| --- | --- |\n| Electronics | 170 |\n| Architecture | 470 |\n| Civil engineering | 280 |\n| Mechanical engineering | 200 |" } ] }, { "id": "15539", "image": "15539.png", "conversations": [ { "from": "human", "question": "Sadie found a list of the number of roller coasters at each amusement park in the state. How many amusement parks have exactly 26 roller coasters?\n" }, { "from": "gpt", "solution": "For the number 26, the stem is 2, and the leaf is 6. Find the row where the stem is 2. In that row, count all the leaves equal to 6.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 amusement parks have exactly26 roller coasters.", "answer": "3", "table": "**Roller coasters per amusement park**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1, 1, 2, 4, 6, 9 |\n| 2 | 1, 1, 4, 4, 6, 6, 6, 7, 8 |\n| 3 | 1, 3, 3, 5, 7, 7 |\n| 4 | 2, 4, 5, 7 |" } ] }, { "id": "15542", "image": "15542.png", "conversations": [ { "from": "human", "question": "Look at this table. Is this relation a function?\n" }, { "from": "gpt", "solution": "Look at the x-values in the table.\n\nEach of the x-values is paired with only one y-value, so the relation is a function.", "answer": "yes", "table": "| x | y |\n| --- | --- |\n| 15 | 3 |\n| 5 | 18 |\n| 13 | 0 |\n| 11 | 4 |" } ] }, { "id": "15548", "image": "15548.png", "conversations": [ { "from": "human", "question": "At a candy factory, butterscotch candies were packaged into bags of different sizes. What is the smallest number of butterscotch candies?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 1.\n\nNow find the lowest leaf in the first row. The lowest leaf is 3.\n\nThe smallest number of butterscotch candies has a stem of 1 and a leaf of 3. Write the stem first, then the leaf: 13.\n\nThe smallest number of butterscotch candies is 13 butterscotch candies.", "answer": "13", "table": "**Butterscotch candies per bag**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 3, 5, 7 |\n| 2 | |\n| 3 | 9 |\n| 4 | 8 |\n| 5 | 4 |\n| 6 | 3 |" } ] }, { "id": "15550", "image": "15550.png", "conversations": [ { "from": "human", "question": "The train conductor made sure to count the number of passengers on each train. What is the smallest number of passengers?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 5.\n\nNow find the lowest leaf in the first row. The lowest leaf is 2.\n\nThe smallest number of passengers has a stem of 5 and a leaf of 2. Write the stem first, then the leaf: 52.\n\nThe smallest number of passengers is 52 passengers.", "answer": "52", "table": "**Passengers per train**\n\n| Stem | Leaf |\n| --- | --- |\n| 5 | 2, 7, 9, 9 |\n| 6 | 1, 2, 7, 9 |\n| 7 | 1, 3, 5, 6, 8, 9, 9 |\n| 8 | 0, 1, 3, 5, 5, 7 |" } ] }, { "id": "15552", "image": "15552.png", "conversations": [ { "from": "human", "question": "Each platter has 10 sugar cookies. How many sugar cookies are on 5 platters?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 50 sugar cookies on 5 platters.", "answer": "50", "table": "| Number of platters | Number of sugar cookies |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | 40 |\n| 5 | ? |" } ] }, { "id": "15561", "image": "15561.png", "conversations": [ { "from": "human", "question": "Look at this table. Is this relation a function?\n" }, { "from": "gpt", "solution": "Look at the x-values in the table.\n\nEach of the x-values is paired with only one y-value, so the relation is a function.", "answer": "yes", "table": "| x | y |\n| --- | --- |\n| 15 | 2 |\n| 11 | 8 |\n| 1 | 4 |\n| 12 | 13 |" } ] }, { "id": "15562", "image": "15562.png", "conversations": [ { "from": "human", "question": "The staff of a game show tracked the performance of all the contestants during the past season. How many people scored at least 34 points?\n" }, { "from": "gpt", "solution": "Find the row with stem 3. Count all the leaves greater than or equal to 4.\n\nCount all the leaves in the rows with stems 4, 5, 6, 7, and 8.\n\nYou counted 19 leaves, which are blue in the stem-and-leaf plots above. 19 people scored at least 34 points.", "answer": "19", "table": "**Game show scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 4, 5, 5, 6 |\n| 3 | 1, 1, 7 |\n| 4 | 0, 2, 7 |\n| 5 | 1, 2, 2, 5, 5, 8, 8 |\n| 6 | 0, 4, 5, 9 |\n| 7 | 0, 0 |\n| 8 | 1, 3 |" } ] }, { "id": "15567", "image": "15567.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $1,015, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $1,015, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $335 | 18,500 | 3,300 |\n| $505 | 14,200 | 5,100 |\n| $675 | 9,900 | 6,900 |\n| $845 | 5,600 | 8,700 |\n| $1,015 | 1,300 | 10,500 |" } ] }, { "id": "15571", "image": "15571.png", "conversations": [ { "from": "human", "question": "While hanging Christmas lights for neighbors, Susan counted the number of broken lights on each string. How many strings had exactly 71 broken lights?\n" }, { "from": "gpt", "solution": "For the number 71, the stem is 7, and the leaf is 1. Find the row where the stem is 7. In that row, count all the leaves equal to 1.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 strings had exactly 71 broken lights.", "answer": "4", "table": "**Broken lights per string**\n\n| Stem | Leaf |\n| --- | --- |\n| 5 | 3, 8, 8, 8 |\n| 6 | 0, 1, 4, 6 |\n| 7 | 1, 1, 1, 1, 8, 8, 9 |\n| 8 | 3, 5, 8 |\n| 9 | 0 |" } ] }, { "id": "15572", "image": "15572.png", "conversations": [ { "from": "human", "question": "If Edwin buys 4 kilograms of chestnuts, 5 kilograms of peanuts, and 5 kilograms of macadamia nuts, how much will he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the chestnuts. Multiply:\n\n$5.14 × 4 = $20.56\n\nFind the cost of the peanuts. Multiply:\n\n$1.95 × 5 = $9.75\n\nFind the cost of the macadamia nuts. Multiply:\n\n$4 × 5 = $20\n\nNow find the total cost by adding:\n\n$20.56 + $9.75 + $20 = $50.31\n\nHe will spend $50.31.", "answer": "50.31", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pine nuts | $5.43 per kilogram |\n| Brazil nuts | $3.93 per kilogram |\n| chestnuts | $5.14 per kilogram |\n| macadamia nuts | $4.00 per kilogram |\n| pistachios | $2.86 per kilogram |\n| peanuts | $1.95 per kilogram |" } ] }, { "id": "15573", "image": "15573.png", "conversations": [ { "from": "human", "question": "Kamal kept track of the number of characters in each book he read. How many books had exactly 19 characters?\n" }, { "from": "gpt", "solution": "For the number 19, the stem is 1, and the leaf is 9. Find the row where the stem is 1. In that row, count all the leaves equal to 9.\n\nYou counted 1 leaf, which is blue in the stem-and-leaf plot above. 1 book had exactly19 characters.", "answer": "1", "table": "**Characters per book**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 5, 9 |\n| 2 | 0, 3, 5 |\n| 3 | 2, 5, 7, 9 |\n| 4 | 1 |" } ] }, { "id": "15574", "image": "15574.png", "conversations": [ { "from": "human", "question": "In considering whether to open a new branch, the city council examined the number of times some typical residents went to the library last month. How many people went to the library at least 3 times last month?\n" }, { "from": "gpt", "solution": "Find the rows for 3, 4, 5, and 6 times last month. Add the frequencies for these rows.\n\nAdd:\n\n6 + 9 + 13 + 16 = 44\n\n44 people went to the library at least 3 times last month.", "answer": "44", "table": "**Going to the library last month**\n\n| Number of trips | Frequency |\n| --- | --- |\n| 1 | 1 |\n| 2 | 12 |\n| 3 | 6 |\n| 4 | 9 |\n| 5 | 13 |\n| 6 | 16 |" } ] }, { "id": "15584", "image": "15584.png", "conversations": [ { "from": "human", "question": "Ezra went on a camping trip and logged the number of miles he hiked each day. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 7, 9, 5, 7, 7\n\nFirst, arrange the numbers from least to greatest:\n\n5, 7, 7, 7, 9, 9\n\nNow count how many times each number appears.\n\n5 appears 1 time.\n7 appears 3 times.\n9 appears 2 times.\n\nThe number that appears most often is 7.\n\nThe mode is 7.", "answer": "7", "table": "**Miles hiked**\n\n| Day | Number of miles |\n| --- | --- |\n| Sunday | 9 |\n| Monday | 7 |\n| Tuesday | 9 |\n| Wednesday | 5 |\n| Thursday | 7 |\n| Friday | 7 |" } ] }, { "id": "15590", "image": "15590.png", "conversations": [ { "from": "human", "question": "Carrie counted the number of cookies eaten by each customer at last week's bake sale. How many customers are there in all?\n" }, { "from": "gpt", "solution": "Add the frequencies for each row.\n\nAdd:\n\n17 + 12 + 8 + 7 + 10 = 54\n\nThere are 54 customers in all.", "answer": "54", "table": "**Eating cookies last week**\n\n| Cookies eaten | Frequency |\n| --- | --- |\n| 1 | 17 |\n| 2 | 12 |\n| 3 | 8 |\n| 4 | 7 |\n| 5 | 10 |" } ] }, { "id": "15592", "image": "15592.png", "conversations": [ { "from": "human", "question": "Isaiah's Candies has been studying how much chocolate people have been eating in different countries. How much chocolate was consumed per capita in Sweden in 2005?\n" }, { "from": "gpt", "solution": "First, find the row for Sweden. Then find the number in the 2005 column.\n\nThis number is 7. In 2005, people in Sweden consumed 7 kilograms of chocolate per capita.", "answer": "7", "table": "**Chocolate consumption per capita (kg)**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 2002 | 2005 |\n| Sweden | 8 | 7 |\n| Switzerland | 11 | 10 |\n| Poland | 3 | 4 |\n| Denmark | 9 | 8 |" } ] }, { "id": "15596", "image": "15596.png", "conversations": [ { "from": "human", "question": "Jonah looked at his calendar to figure out how much time he spent babysitting each month. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n81, 77, 85, 74, 79\n\nFirst, arrange the numbers from least to greatest:\n\n74, 77, 79, 81, 85\n\nNow find the number in the middle.\n\n74, 77, 79, 81, 85\n\nThe number in the middle is 79.\n\nThe median is 79.", "answer": "79", "table": "**Hours of babysitting**\n\n| Month | Hours |\n| --- | --- |\n| October | 81 |\n| November | 77 |\n| December | 85 |\n| January | 74 |\n| February | 79 |" } ] }, { "id": "15603", "image": "15603.png", "conversations": [ { "from": "human", "question": "This is Sidney's complete financial record for October. How much money was available after Sidney bought a Halloween costume?\n" }, { "from": "gpt", "solution": "Look at the Halloween costume row. The available funds were $54.35. So, $54.35 was available after Sidney bought a Halloween costume.\n", "answer": "54.35", "table": "| Date | Description | Received | Expenses | Available Funds |\n| --- | --- | --- | --- | --- |\n| | Balance: end of September | | | $75.70 |\n| 10/6 | house-sitting | $10.00 | | $85.70 |\n| 10/20 | jack-o'-lantern kit | | $7.20 | $78.50 |\n| 10/29 | Halloween costume | | $24.15 | $54.35 |" } ] }, { "id": "15607", "image": "15607.png", "conversations": [ { "from": "human", "question": "Mrs. Wyatt, the science teacher, informed her students of their scores on Monday's test. How many students scored exactly 52 points?\n" }, { "from": "gpt", "solution": "For the number 52, the stem is 5, and the leaf is 2. Find the row where the stem is 5. In that row, count all the leaves equal to 2.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 students scored exactly 52 points.", "answer": "4", "table": "**Science test scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 8, 9 |\n| 3 | 4 |\n| 4 | |\n| 5 | 2, 2, 2, 2, 8 |\n| 6 | |\n| 7 | 1 |" } ] }, { "id": "15608", "image": "15608.png", "conversations": [ { "from": "human", "question": "Stanley, a doctor's office receptionist, tracked the average waiting time at the office each month. According to the table, what was the rate of change between June and July?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{41 minutes - 40 minutes}{1 month}\n = \\frac{1 minute}{1 month}\n = 1 minute per month\nThe rate of change between June and July was 1 minute per month.", "answer": "1", "table": "**Average waiting time at a doctor's office**\n\n| Month | Waiting time (minutes) |\n| --- | --- |\n| March | 40 |\n| April | 34 |\n| May | 45 |\n| June | 40 |\n| July | 41 |" } ] }, { "id": "15616", "image": "15616.png", "conversations": [ { "from": "human", "question": "Miguel has $42.50. Does he have enough to buy a book about music and a book about dinosaurs?\n" }, { "from": "gpt", "solution": "Add the price of a book about music and the price of a book about dinosaurs:\n\n$19.31 + $23.77 = $43.08\n\n$43.08 is more than $42.50. Miguel does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| book about dinosaurs | $23.77 |\n| book about the Olympics | $24.44 |\n| book about music | $19.31 |\n| book about birds | $22.81 |\n| book about Asia | $11.67 |" } ] }, { "id": "15621", "image": "15621.png", "conversations": [ { "from": "human", "question": "Elizabeth has $12.50. Does she have enough to buy a book about fish and a book about baseball?\n" }, { "from": "gpt", "solution": "Add the price of a book about fish and the price of a book about baseball:\n\n$4.74 + $7.38 = $12.12\n\n$12.12 is less than $12.50. Elizabeth does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| book about baseball | $7.38 |\n| book about snakes | $6.04 |\n| book about fish | $4.74 |\n| book about art | $1.47 |\n| book about trains | $9.54 |" } ] }, { "id": "15626", "image": "15626.png", "conversations": [ { "from": "human", "question": "For a science fair project, Joseph tracked the temperature each day. How many temperature readings were exactly 25°C?\n" }, { "from": "gpt", "solution": "For the number 25, the stem is 2, and the leaf is 5. Find the row where the stem is 2. In that row, count all the leaves equal to 5.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 temperature readings were exactly25°C.", "answer": "4", "table": "**Daily temperatures (°C)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 7 |\n| 2 | 5, 5, 5, 5, 8 |\n| 3 | |\n| 4 | 0, 1, 3, 3 |" } ] }, { "id": "15646", "image": "15646.png", "conversations": [ { "from": "human", "question": "Nora has $11. Does she have enough to buy fried eggs and a breakfast burrito?\n" }, { "from": "gpt", "solution": "Add the price of fried eggs and the price of a breakfast burrito:\n\n$3 + $9 = $12\n\n$12 is more than $11. Nora does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| breakfast burrito | $9 |\n| fried eggs | $3 |\n| bowl of melon | $1 |\n| waffle with berries | $1 |" } ] }, { "id": "15647", "image": "15647.png", "conversations": [ { "from": "human", "question": "If Lila buys 5 kilograms of green grapes and 3 kilograms of regular red grapes, how much will she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the green grapes. Multiply:\n\n$1.61 × 5 = $8.05\n\nFind the cost of the regular red grapes. Multiply:\n\n$0.35 × 3 = $1.05\n\nNow find the total cost by adding:\n\n$8.05 + $1.05 = $9.10\n\nShe will spend $9.10.", "answer": "9.10", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| green grapes | $1.61/kg |\n| muscadine grapes | $1.17/kg |\n| green seedless grapes | $0.29/kg |\n| Concord grapes | $1.00/kg |\n| regular red grapes | $0.35/kg |" } ] }, { "id": "15648", "image": "15648.png", "conversations": [ { "from": "human", "question": "A Girl Scout troop recorded how many boxes of cookies they sold each day for a week. According to the table, what was the rate of change between Monday and Tuesday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{43 boxes - 28 boxes}{1 day}\n = \\frac{15 boxes}{1 day}\n = 15 boxes per day\nThe rate of change between Monday and Tuesday was 15 boxes per day.", "answer": "15", "table": "**Boxes of Girl Scout cookies sold**\n\n| Day | Boxes of cookies |\n| --- | --- |\n| Monday | 28 |\n| Tuesday | 43 |\n| Wednesday | 31 |\n| Thursday | 48 |\n| Friday | 31 |" } ] }, { "id": "15656", "image": "15656.png", "conversations": [ { "from": "human", "question": "Jackson has $108. Does he have enough to buy a rocking chair and a footstool?\n" }, { "from": "gpt", "solution": "Add the price of a rocking chair and the price of a footstool:\n\n$84 + $31 = $115\n\n$115 is more than $108. Jackson does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| nightstand | $36 |\n| set of bunk beds | $67 |\n| footstool | $31 |\n| bookcase | $67 |\n| desk | $66 |\n| rocking chair | $84 |" } ] }, { "id": "15657", "image": "15657.png", "conversations": [ { "from": "human", "question": "Some farmers compared how many sheep were in their flocks. Which farmer has the fewest sheep?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 70.\n\nNow find the corresponding farmer. Farmer Dan corresponds to 70.", "answer": "Farmer Dan", "table": "**Sheep owned**\n\n| Farmer | Number of sheep |\n| --- | --- |\n| Farmer Bob | 79 |\n| Farmer Dan | 70 |\n| Farmer Meghan | 72 |\n| Farmer Dave | 71 |" } ] }, { "id": "15659", "image": "15659.png", "conversations": [ { "from": "human", "question": "A restaurant's average food preparation time was tracked from day to day as part of an efficiency improvement program. According to the table, what was the rate of change between Friday and Saturday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{39 minutes - 50 minutes}{1 day}\n = \\frac{-11 minutes}{1 day}\n = -11 minutes per day\nThe rate of change between Friday and Saturday was - 11 minutes per day.", "answer": "-11", "table": "**Average food preparation time**\n\n| Day | Food preparation time (minutes) |\n| --- | --- |\n| Tuesday | 5 |\n| Wednesday | 17 |\n| Thursday | 21 |\n| Friday | 50 |\n| Saturday | 39 |" } ] }, { "id": "15662", "image": "15662.png", "conversations": [ { "from": "human", "question": "Eva records the number of pairs of sandals owned by each of her classmates. How many students own fewer than 4 pairs of sandals?\n" }, { "from": "gpt", "solution": "Find the rows for 0, 1, 2, and 3 pairs of sandals. Add the frequencies for these rows.\n\nAdd:\n\n9 + 20 + 12 + 10 = 51\n\n51 students own fewer than 4 pairs of sandals.", "answer": "51", "table": "**Pairs of sandals**\n\n| Number of pairs of sandals | Frequency |\n| --- | --- |\n| 0 | 9 |\n| 1 | 20 |\n| 2 | 12 |\n| 3 | 10 |\n| 4 | 1 |\n| 5 | 13 |" } ] }, { "id": "15663", "image": "15663.png", "conversations": [ { "from": "human", "question": "How much money does Maggie need to buy a padlock and a mop?\n" }, { "from": "gpt", "solution": "Add the price of a padlock and the price of a mop:\n\n$1.00 + $4.00 = $5.00\n\nMaggie needs $5.00.", "answer": "5", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| watering can | $7.00 |\n| bucket | $6.00 |\n| mop | $4.00 |\n| wrench | $7.00 |\n| measuring tape | $8.00 |\n| padlock | $1.00 |" } ] }, { "id": "15665", "image": "15665.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{5 - 7}{15 - 14}\n = \\frac{-2}{1}\n = -2\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{4 - 7}{16 - 14}\n = \\frac{-3}{2}\n = -1\\frac{1}{2}\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 14 | 7 |\n| 15 | 5 |\n| 16 | 4 |" } ] }, { "id": "15669", "image": "15669.png", "conversations": [ { "from": "human", "question": "Kari kept track of how many kilometers she walked during the past 6 days. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 2, 3, 0, 3, 4\n\nFirst, count how many numbers are in the group.\n\nThere are 6 numbers.\n\nNow add all the numbers together:\n\n6 + 2 + 3 + 0 + 3 + 4 = 18\n\nNow divide the sum by the number of numbers:\n\n18 ÷ 6 = 3\n\nThe mean is 3.", "answer": "3", "table": "**Kilometers walked**\n\n| Day | Kilometers |\n| --- | --- |\n| Monday | 6 |\n| Tuesday | 2 |\n| Wednesday | 3 |\n| Thursday | 0 |\n| Friday | 3 |\n| Saturday | 4 |" } ] }, { "id": "15671", "image": "15671.png", "conversations": [ { "from": "human", "question": "The teachers at an elementary school counted how many desks they had in their classrooms. Which teacher has the most desks?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 39.\n\nNow find the corresponding teacher. Miss Petit corresponds to 39.", "answer": "Miss Petit", "table": "**Desks in classrooms**\n\n| Teacher | Number of desks |\n| --- | --- |\n| Mr. Gruber | 34 |\n| Miss Petit | 39 |\n| Ms. Peters | 37 |\n| Mrs. Wong | 35 |" } ] }, { "id": "15674", "image": "15674.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{10 - 7}{13 - 12}\n = \\frac{3}{1}\n = 3\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{13 - 10}{14 - 13}\n = \\frac{3}{1}\n = 3\nThe two rates of change are the same.\nIf you checked the rate of change between rows 1 and 3, you would find that it is also 3.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 12 | 7 |\n| 13 | 10 |\n| 14 | 13 |" } ] }, { "id": "15680", "image": "15680.png", "conversations": [ { "from": "human", "question": "Paula and her brother are at a store shopping for a beanbag chair for their school's library. The store sells beanbag chairs with different fabrics and types of filling. What is the probability that a randomly selected beanbag chair is filled with foam and is made from suede? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the beanbag chair is filled with foam\" and B be the event \"the beanbag chair is made from suede\".\nTo find the probability that a beanbag chair is filled with foam and is made from suede, first identify the sample space and the event.\nThe outcomes in the sample space are the different beanbag chairs. Each beanbag chair is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the beanbag chair is filled with foam and is made from suede\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the beanbag chair is filled with foam and is made from suede\", so look at the table to see how many beanbag chairs are filled with foam and are made from suede.\nThe number of beanbag chairs that are filled with foam and are made from suede is 3.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of beanbag chairs.\n5 + 6 + 3 + 5 = 19\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{3}{19}\nThe probability that a beanbag chair is filled with foam and is made from suede is \\frac{3}{19}.", "answer": "3/19", "table": "| | Velvet | Suede |\n| --- | --- | --- |\n| Foam | 5 | 3 |\n| Beads | 6 | 5 |" } ] }, { "id": "15683", "image": "15683.png", "conversations": [ { "from": "human", "question": "While hanging Christmas lights for neighbors, Kelsey counted the number of broken lights on each string. How many strings had at least 50 broken lights?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 5, 6, 7, 8, and 9.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 strings had at least 50 broken lights.", "answer": "4", "table": "**Broken lights per string**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 3, 5 |\n| 5 | |\n| 6 | 2 |\n| 7 | 5, 6 |\n| 8 | |\n| 9 | 0 |" } ] }, { "id": "15687", "image": "15687.png", "conversations": [ { "from": "human", "question": "This table shows information about two occupations. In which occupation would you be more likely to sprain an ankle on the job?\n" }, { "from": "gpt", "solution": "Look at the description for each occupation.\nOrchestra conductors typically work in performing arts centers. They spend a long time standing while they conduct, but they don't put unusual stress on their feet and are not likely to sprain an ankle on the job.\nDancers also work in performing arts centers, where they practice and perform dance movements. These difficult and intense movements put stress on their feet. So, a dancer is more likely to sprain an ankle on the job.", "answer": "dancer", "table": "| | Dancer | Orchestra conductor |\n| --- | --- | --- |\n| Description | Dancers perform a variety of dance styles in live and filmed productions. | Orchestra conductors lead musicians through rehearsals and live performances. |\n| Typical education required | No specific education requirements, but most have many years of formal dance training | Master's degree in music theory or a related field |\n| Median income | $33,000 per year | $51,500 per year |" } ] }, { "id": "15705", "image": "15705.png", "conversations": [ { "from": "human", "question": "Some teachers compared how many students are in their classes. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n33, 33, 36, 32, 36, 36, 32\n\nFirst, arrange the numbers from least to greatest:\n\n32, 32, 33, 33, 36, 36, 36\n\nNow count how many times each number appears.\n\n32 appears 2 times.\n33 appears 2 times.\n36 appears 3 times.\n\nThe number that appears most often is 36.\n\nThe mode is 36.", "answer": "36", "table": "**Class size**\n\n| Teacher | Number of students |\n| --- | --- |\n| Mr. Chen | 33 |\n| Ms. Hershfeld | 33 |\n| Miss Jones | 36 |\n| Mr. Watson | 32 |\n| Mrs. Truman | 36 |\n| Mrs. Woodworth | 36 |\n| Mr. Cohen | 32 |" } ] }, { "id": "15706", "image": "15706.png", "conversations": [ { "from": "human", "question": "A hot dog stand kept track of the number of hot dogs sold each day. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n70, 68, 73, 67, 68, 70, 69\n\nFirst, arrange the numbers from least to greatest:\n\n67, 68, 68, 69, 70, 70, 73\n\nNow find the number in the middle.\n\n67, 68, 68, 69, 70, 70, 73\n\nThe number in the middle is 69.\n\nThe median is 69.", "answer": "69", "table": "**Hot dogs sold**\n\n| Day | Number of hot dogs |\n| --- | --- |\n| Saturday | 70 |\n| Sunday | 68 |\n| Monday | 73 |\n| Tuesday | 67 |\n| Wednesday | 68 |\n| Thursday | 70 |\n| Friday | 69 |" } ] }, { "id": "15707", "image": "15707.png", "conversations": [ { "from": "human", "question": "A county agency recorded the money donated to several charitable causes over time. Which cause raised less money in April, medical research or education?\n" }, { "from": "gpt", "solution": "Find the April column. Compare the numbers in this column for medical research and education.\n\n$1.00 is less than $3.00. In April, less money was raised for medical research.", "answer": "medical research", "table": "**Donations received**\n\n| Cause | March | April |\n| --- | --- | --- |\n| Medical research | $13 | $1 |\n| Animals | $18 | $11 |\n| Education | $13 | $3 |" } ] }, { "id": "15713", "image": "15713.png", "conversations": [ { "from": "human", "question": "Rebecca bought 5 kilograms of tortilla soup. How much did she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the tortilla soup. Multiply the price per kilogram by the number of kilograms.\n\n$0.58 × 5 = $2.90\n\nShe spent $2.90.", "answer": "2.90", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| lobster bisque | $1.60 per kg |\n| vegetable soup | $0.76 per kg |\n| cream of mushroom soup | $0.98 per kg |\n| tortilla soup | $0.58 per kg |" } ] }, { "id": "15715", "image": "15715.png", "conversations": [ { "from": "human", "question": "A theme park developer recorded the number of people who visited the local water park last summer. How many people went to the water park at least 4 times?\n" }, { "from": "gpt", "solution": "Find the rows for 4 and 5 times. Add the frequencies for these rows.\n\nAdd:\n\n13 + 12 = 25\n\n25 people went to the water park at least 4 times.", "answer": "25", "table": "**Going to the water park last summer**\n\n| Number of trips | Frequency |\n| --- | --- |\n| 1 | 15 |\n| 2 | 5 |\n| 3 | 8 |\n| 4 | 13 |\n| 5 | 12 |" } ] }, { "id": "15722", "image": "15722.png", "conversations": [ { "from": "human", "question": "Each necklace has 10 diamonds. How many diamonds are on 6 necklaces?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 60 diamonds on 6 necklaces.", "answer": "60", "table": "| Number of necklaces | Number of diamonds |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | 40 |\n| 5 | 50 |\n| 6 | ? |" } ] }, { "id": "15723", "image": "15723.png", "conversations": [ { "from": "human", "question": "Some farmers compared how many tractors they own. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 6, 3, 9, 6, 9, 8, 8\n\nFirst, arrange the numbers from least to greatest:\n\n3, 6, 6, 6, 8, 8, 9, 9\n\nNow count how many times each number appears.\n\n3 appears 1 time.\n6 appears 3 times.\n8 appears 2 times.\n9 appears 2 times.\n\nThe number that appears most often is 6.\n\nThe mode is 6.", "answer": "6", "table": "**Tractors**\n\n| Farmer | Number of tractors |\n| --- | --- |\n| Farmer Alex | 6 |\n| Farmer Walt | 6 |\n| Farmer Tom | 3 |\n| Farmer Megan | 9 |\n| Farmer Allison | 6 |\n| Farmer Judy | 9 |\n| Farmer Joe | 8 |\n| Farmer Andy | 8 |" } ] }, { "id": "15725", "image": "15725.png", "conversations": [ { "from": "human", "question": "Max just downloaded the new game Gem Excavator on his phone. In the first level, Max gains points for each green gem he finds. However, he loses points for each red gem he finds. The table shows how the gems affect Max's points. Which color gem affects Max's points less?\n" }, { "from": "gpt", "solution": "To find the gem that affects Max's points less, use absolute value. Absolute value tells you how much Max's points change for each color gem.\nGreen: |25| = 25\nRed: |-40| = 40\nMax gains 25 points for each green gem he finds, and he loses 40 points for each red gem he finds. So, the green gems affect Max's points less.", "answer": "green", "table": "| Gem color | Change in points |\n| --- | --- |\n| Green | 25 |\n| Red | -40 |" } ] }, { "id": "15729", "image": "15729.png", "conversations": [ { "from": "human", "question": "An administrator at the Department of Motor Vehicles (DMV) tracked the average wait time from month to month. According to the table, what was the rate of change between September and October?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{46 minutes - 33 minutes}{1 month}\n = \\frac{13 minutes}{1 month}\n = 13 minutes per month\nThe rate of change between September and October was 13 minutes per month.", "answer": "13", "table": "**Average waiting time at the DMV**\n\n| Month | Waiting time (minutes) |\n| --- | --- |\n| June | 32 |\n| July | 39 |\n| August | 42 |\n| September | 33 |\n| October | 46 |" } ] }, { "id": "15740", "image": "15740.png", "conversations": [ { "from": "human", "question": "How much money does Rachel need to buy 8 boxes of paper clips?\n" }, { "from": "gpt", "solution": "Find the total cost of 8 boxes of paper clips by multiplying 8 times the price of a box of paper clips.\n\n$1.04 × 8 = $8.32\n\nRachel needs $8.32.", "answer": "8.32", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| box of paper clips | $1.04 |\n| box of envelopes | $2.18 |\n| roll of tape | $1.22 |\n| yellow highlighter | $1.51 |\n| box of colored pencils | $1.70 |" } ] }, { "id": "15743", "image": "15743.png", "conversations": [ { "from": "human", "question": "An agricultural agency is researching how much cheese people have been eating in different parts of the world. Which country consumed the most cheese per capita in 2006?\n" }, { "from": "gpt", "solution": "Look at the numbers in the 2006 column. Find the greatest number in this column.\n\nThe greatest number is 17, which is in the Austria row. Austria consumed the most cheese per capita in 2006.", "answer": "Austria", "table": "**Cheese consumption per capita (kg)**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 1996 | 2006 |\n| Argentina | 11 | 11 |\n| Canada | 10 | 11 |\n| Austria | 10 | 17 |\n| Australia | 10 | 10 |" } ] }, { "id": "15751", "image": "15751.png", "conversations": [ { "from": "human", "question": "A car dealership tracked the number of cars sold each month. In which month did the dealership sell the most cars?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 289.\n\nNow find the corresponding month. January corresponds to 289.", "answer": "January", "table": "**Cars sold**\n\n| Month | Number of cars |\n| --- | --- |\n| November | 268 |\n| December | 286 |\n| January | 289 |\n| February | 226 |" } ] }, { "id": "15755", "image": "15755.png", "conversations": [ { "from": "human", "question": "How much more does a clarinet cost than a piccolo?\n" }, { "from": "gpt", "solution": "Subtract the price of a piccolo from the price of a clarinet.\n\n$696 - $543 = $153\n\nA clarinet costs $153 more than a piccolo.", "answer": "153", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| piccolo | $543 |\n| trumpet | $895 |\n| clarinet | $696 |\n| violin | $864 |\n| cello | $921 |" } ] }, { "id": "15761", "image": "15761.png", "conversations": [ { "from": "human", "question": "An administrator at the Department of Motor Vehicles (DMV) tracked the average wait time from month to month. According to the table, what was the rate of change between May and June?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{6 minutes - 40 minutes}{1 month}\n = \\frac{-34 minutes}{1 month}\n = -34 minutes per month\nThe rate of change between May and June was - 34 minutes per month.", "answer": "-34", "table": "**Average waiting time at the DMV**\n\n| Month | Waiting time (minutes) |\n| --- | --- |\n| March | 10 |\n| April | 7 |\n| May | 40 |\n| June | 6 |\n| July | 50 |" } ] }, { "id": "15765", "image": "15765.png", "conversations": [ { "from": "human", "question": "Every afternoon, Jamal enjoys a cup of hot tea in one of his many teacups. Once, Jamal counted all the teacups in his collection, noting their colors and size. What is the probability that a randomly selected cup is medium and green? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the cup is medium\" and B be the event \"the cup is green\".\nTo find the probability that a cup is medium and green, first identify the sample space and the event.\nThe outcomes in the sample space are the different cups. Each cup is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the cup is medium and green\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the cup is medium and green\", so look at the table to see how many cups are medium and green.\nThe number of cups that are medium and green is 5.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of cups.\n7 + 5 + 4 + 3 = 19\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{5}{19}\nThe probability that a cup is medium and green is \\frac{5}{19}.", "answer": "5/19", "table": "| | Green | Yellow |\n| --- | --- | --- |\n| Small | 7 | 4 |\n| Medium | 5 | 3 |" } ] }, { "id": "15767", "image": "15767.png", "conversations": [ { "from": "human", "question": "Seth went to the store. He bought 1+3/10 pounds of lentils. How much did he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the lentils. Multiply the price per pound by the number of pounds.\n$3 × 1\\frac{3}{10} = $3 × 1.3 = $3.90\nHe spent $3.90.", "answer": "3.90", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| lentils | $3/pound |\n| sunflower seeds | $3/pound |\n| soybeans | $1/pound |\n| pumpkin seeds | $3/pound |\n| flax seeds | $8/pound |\n| sesame seeds | $5/pound |" } ] }, { "id": "15768", "image": "15768.png", "conversations": [ { "from": "human", "question": "Some friends compared the sizes of their stuffed animal collections. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 6, 10, 10, 9, 10\n\nFirst, count how many numbers are in the group.\n\nThere are 6 numbers.\n\nNow add all the numbers together:\n\n9 + 6 + 10 + 10 + 9 + 10 = 54\n\nNow divide the sum by the number of numbers:\n\n54 ÷ 6 = 9\n\nThe mean is 9.", "answer": "9", "table": "**Stuffed animal collections**\n\n| Name | Number of stuffed animals |\n| --- | --- |\n| Rick | 9 |\n| Mitchell | 6 |\n| Owen | 10 |\n| Bridget | 10 |\n| Kiara | 9 |\n| Julian | 10 |" } ] }, { "id": "15773", "image": "15773.png", "conversations": [ { "from": "human", "question": "Each branch has 5 spiders. How many spiders are on 3 branches?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 15 spiders on 3 branches.", "answer": "15", "table": "| Number of branches | Number of spiders |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | ? |" } ] }, { "id": "15776", "image": "15776.png", "conversations": [ { "from": "human", "question": "After a census, 5 nearby towns compared their populations. How many more people live in Hilly Town than in River Town?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nHilly Town: 879\nRiver Town: 759\n\nNow subtract: 879 - 759 = 120.\n\n120 more people live in Hilly Town.", "answer": "120", "table": "**Town populations**\n\n| Town | Population |\n| --- | --- |\n| Hilly Town | 879 |\n| Lake City | 583 |\n| Valley Falls | 227 |\n| Flat Plains | 454 |\n| River Town | 759 |" } ] }, { "id": "15779", "image": "15779.png", "conversations": [ { "from": "human", "question": "The local high school found out how many members each club had. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n82, 77, 85, 79, 90, 85, 86, 80\n\nFirst, count how many numbers are in the group.\n\nThere are 8 numbers.\n\nNow add all the numbers together:\n\n82 + 77 + 85 + 79 + 90 + 85 + 86 + 80 = 664\n\nNow divide the sum by the number of numbers:\n\n664 ÷ 8 = 83\n\nThe mean is 83.", "answer": "83", "table": "**Club membership**\n\n| Club | Number of members |\n| --- | --- |\n| geology club | 82 |\n| physics club | 77 |\n| drama club | 85 |\n| Spanish club | 79 |\n| speech club | 90 |\n| French club | 85 |\n| film club | 86 |\n| Japanese club | 80 |" } ] }, { "id": "15780", "image": "15780.png", "conversations": [ { "from": "human", "question": "Compare pattern A to pattern B. Which statement is true? \n" }, { "from": "gpt", "solution": "Look at the corresponding terms in the table. For example, the first pair of corresponding terms is 14 and 2.\nRead the first statement.\nEach term in pattern B can be found by subtracting the corresponding term in pattern A from 16.\nThis statement is not true for all of the corresponding terms. For example, 4 is not equal to 28 subtracted from 16.\nRead the second statement.\nEach term in pattern B can be found by dividing the corresponding term in pattern A by 7.\nThis statement is true for all of the corresponding terms.\n14÷7 = 2\n28÷7 = 4\n42÷7 = 6\n56÷7 = 8", "answer": "Each term in pattern B can be found by dividing the corresponding term in pattern A by 7.", "table": "| Column 1 | Column 2 | Column 3 | Column 4 | Column 5 | Column 6 |\n| --- | --- | --- | --- | --- | --- |\n| Pattern A | add | 14 14 | 28 | 42 | 56 |\n| Pattern B | add | 2 2 | 4 | 6 | 8 |" } ] }, { "id": "15792", "image": "15792.png", "conversations": [ { "from": "human", "question": "The coach of the Academic Bowl recorded the scores in a trivia game to determine who would represent the school at the regional competition. How many people scored more than 9?\n" }, { "from": "gpt", "solution": "Find the row for 10 and read the frequency. The frequency is 1.\n\n1 person scored more than 9.", "answer": "1", "table": "**Scores in a trivia game**\n\n| Score | Frequency |\n| --- | --- |\n| 5 | 8 |\n| 6 | 5 |\n| 7 | 17 |\n| 8 | 3 |\n| 9 | 10 |\n| 10 | 1 |" } ] }, { "id": "15797", "image": "15797.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $1,305, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $1,305, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $745 | 19,000 | 12,600 |\n| $885 | 15,100 | 15,000 |\n| $1,025 | 11,200 | 17,400 |\n| $1,165 | 7,300 | 19,800 |\n| $1,305 | 3,400 | 22,200 |" } ] }, { "id": "15805", "image": "15805.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{15 - 19}{18 - 17}\n = \\frac{-4}{1}\n = -4\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{11 - 19}{19 - 17}\n = \\frac{-8}{2}\n = -4\nThe two rates of change are the same.\n4.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 17 | 19 |\n| 18 | 15 |\n| 19 | 11 |" } ] }, { "id": "15810", "image": "15810.png", "conversations": [ { "from": "human", "question": "Some farmers compared how many tractors they own. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n3, 5, 2, 6, 5, 5, 3, 2\n\nFirst, arrange the numbers from least to greatest:\n\n2, 2, 3, 3, 5, 5, 5, 6\n\nNow count how many times each number appears.\n\n2 appears 2 times.\n3 appears 2 times.\n5 appears 3 times.\n6 appears 1 time.\n\nThe number that appears most often is 5.\n\nThe mode is 5.", "answer": "5", "table": "**Tractors**\n\n| Farmer | Number of tractors |\n| --- | --- |\n| Farmer Jane | 3 |\n| Farmer Andy | 5 |\n| Farmer Susie | 2 |\n| Farmer Rick | 6 |\n| Farmer Rob | 5 |\n| Farmer Joe | 5 |\n| Farmer Walt | 3 |\n| Farmer Tom | 2 |" } ] }, { "id": "15811", "image": "15811.png", "conversations": [ { "from": "human", "question": "Mr. Huffman, a P.E. teacher, wrote down how much weight each of his students could lift. How many people lifted at least 46 pounds?\n" }, { "from": "gpt", "solution": "Find the row with stem 4. Count all the leaves greater than or equal to 6.\n\nYou counted 1 leaf, which is blue in the stem-and-leaf plot above. 1 person lifted at least 46 pounds.", "answer": "1", "table": "**Weight lifting results (lbs)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 1, 4, 6, 6, 9 |\n| 2 | 3, 5, 6 |\n| 3 | 0, 1, 2, 5, 8, 9 |\n| 4 | 0, 3, 3, 4, 7 |" } ] }, { "id": "15845", "image": "15845.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does the train depart from Oak Grove?\n" }, { "from": "gpt", "solution": "Find Oak Grove on the schedule. Find the departure time for Oak Grove.\n\nOak Grove: 5:55 P. M.", "answer": "5:55 P.M.", "table": "**Train schedule**\n\n| Location | Arrive | Depart |\n| --- | --- | --- |\n| Rockport | 10:35 A.M. | 11:05 A.M. |\n| Hampton | 12:45 P.M. | 1:10 P.M. |\n| Silvergrove | 2:10 P.M. | 2:30 P.M. |\n| Belmont | 3:50 P.M. | 4:10 P.M. |\n| Lakeside | 4:45 P.M. | 5:10 P.M. |\n| Oak Grove | 5:40 P.M. | 5:55 P.M. |\n| Ashland | 6:40 P.M. | 7:10 P.M. |\n| Wildgrove | 7:40 P.M. | 8:10 P.M. |" } ] }, { "id": "15849", "image": "15849.png", "conversations": [ { "from": "human", "question": "Megan's school reported how many members each sports team had. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n37, 50, 31, 48, 49\n\nFirst, count how many numbers are in the group.\n\nThere are 5 numbers.\n\nNow add all the numbers together:\n\n37 + 50 + 31 + 48 + 49 = 215\n\nNow divide the sum by the number of numbers:\n\n215 ÷ 5 = 43\n\nThe mean is 43.", "answer": "43", "table": "**Sports team membership**\n\n| Team | Number of members |\n| --- | --- |\n| wrestling team | 37 |\n| volleyball team | 50 |\n| basketball team | 31 |\n| softball team | 48 |\n| track team | 49 |" } ] }, { "id": "15851", "image": "15851.png", "conversations": [ { "from": "human", "question": "An employee at the craft store counted the number of red buttons in each bag of mixed buttons. How many bags had at least 60 red buttons but fewer than 81 red buttons?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 6 and 7.\n\nIn the row with stem 8, count all the leaves less than 1.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plots above. 2 bags had at least 60 red buttons but fewer than 81 red buttons.", "answer": "2", "table": "**Red buttons per bag**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1 |\n| 2 | 5 |\n| 3 | 2 |\n| 4 | 8 |\n| 5 | 3, 6 |\n| 6 | |\n| 7 | 5, 7 |\n| 8 | 4, 7, 8 |" } ] }, { "id": "15854", "image": "15854.png", "conversations": [ { "from": "human", "question": "How much money does Reid need to buy a small bottle of glue, a small yellow button, and a sewing needle?\n" }, { "from": "gpt", "solution": "Find the total cost of a small bottle of glue, a small yellow button, and a sewing needle.\n\n$0.38 + $0.11 + $0.50 = $0.99\n\nReid needs $0.99.", "answer": "0.99", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| spool of metallic cord | $0.36 |\n| small yellow button | $0.11 |\n| spool of silver wire | $0.12 |\n| small bottle of glue | $0.38 |\n| sewing needle | $0.50 |\n| orange ribbon | $0.36 |" } ] }, { "id": "15855", "image": "15855.png", "conversations": [ { "from": "human", "question": "Harper jotted down how many baskets she made during basketball practice each day. On which day did Harper make the fewest baskets?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 70.\n\nNow find the corresponding day. Thursday corresponds to 70.", "answer": "Thursday", "table": "**Baskets made**\n\n| Day | Number of baskets |\n| --- | --- |\n| Thursday | 70 |\n| Friday | 79 |\n| Saturday | 71 |\n| Sunday | 74 |" } ] }, { "id": "15856", "image": "15856.png", "conversations": [ { "from": "human", "question": "Carter purchased 1 pound of puffed rice bars and 1 pound of coffee cake. What was the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the puffed rice bars. Multiply:\n\n$5 × 1 = $5\n\nFind the cost of the coffee cake. Multiply:\n\n$5 × 1 = $5\n\nNow find the total cost by adding:\n\n$5 + $5 = $10\n\nThe total cost was $10.", "answer": "10", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| cream cheese bars | $3 per pound |\n| coffee cake | $5 per pound |\n| puffed rice bars | $5 per pound |\n| blueberry bars | $3 per pound |\n| lemon bars | $3 per pound |" } ] }, { "id": "15857", "image": "15857.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{12 - 20}{1 - 0}\n = \\frac{-8}{1}\n = -8\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{4 - 12}{2 - 1}\n = \\frac{-8}{1}\n = -8\nThe two rates of change are the same.\n8.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 0 | 20 |\n| 1 | 12 |\n| 2 | 4 |" } ] }, { "id": "15868", "image": "15868.png", "conversations": [ { "from": "human", "question": "Marie has $185. Does she have enough to buy a silver coat rack and a chandelier?\n" }, { "from": "gpt", "solution": "Add the price of a silver coat rack and the price of a chandelier:\n\n$99 + $82 = $181\n\n$181 is less than $185. Marie does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| crystal vase | $57 |\n| chandelier | $82 |\n| oil painting | $63 |\n| silver coat rack | $99 |" } ] }, { "id": "15870", "image": "15870.png", "conversations": [ { "from": "human", "question": "The train conductor made sure to count the number of passengers on each train. How many trains had at least 50 passengers?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 5, 6, and 7.\n\nYou counted 6 leaves, which are blue in the stem-and-leaf plot above. 6 trains had at least 50 passengers.", "answer": "6", "table": "**Passengers per train**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1, 5, 7 |\n| 2 | 0, 3 |\n| 3 | 5 |\n| 4 | 9 |\n| 5 | 0, 7, 9 |\n| 6 | 5 |\n| 7 | 1, 4 |" } ] }, { "id": "15875", "image": "15875.png", "conversations": [ { "from": "human", "question": "A coffee shop monitored the number of cups of coffee sold each day. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n33, 45, 33, 25, 33\n\nFirst, arrange the numbers from least to greatest:\n\n25, 33, 33, 33, 45\n\nNow find the number in the middle.\n\n25, 33, 33, 33, 45\n\nThe number in the middle is 33.\n\nThe median is 33.", "answer": "33", "table": "**Cups of coffee sold**\n\n| Day | Number of cups |\n| --- | --- |\n| Tuesday | 33 |\n| Wednesday | 45 |\n| Thursday | 33 |\n| Friday | 25 |\n| Saturday | 33 |" } ] }, { "id": "15876", "image": "15876.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which event ends at 10.25 P.M.?\n" }, { "from": "gpt", "solution": "Find 10:25 P. M. on the schedule. The cycling event ends at 10:25 P. M.", "answer": "cycling event", "table": "**Summer Olympics schedule**\n\n| Event | Begin | End |\n| --- | --- | --- |\n| badminton | 10:25 A.M. | 2:40 P.M. |\n| swimming | 1:50 P.M. | 6:15 P.M. |\n| rowing | 4:45 P.M. | 7:30 P.M. |\n| cycling | 7:10 P.M. | 10:25 P.M. |\n| tennis | 9:00 P.M. | 10:40 P.M. |" } ] }, { "id": "15879", "image": "15879.png", "conversations": [ { "from": "human", "question": "How much money does Mia need to buy a watering can and a measuring tape?\n" }, { "from": "gpt", "solution": "Add the price of a watering can and the price of a measuring tape:\n\n$12 + $11 = $23\n\nMia needs $23.", "answer": "23", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| measuring tape | $11 |\n| broom | $11 |\n| shovel | $16 |\n| watering can | $12 |\n| lawn mower | $77 |" } ] }, { "id": "15881", "image": "15881.png", "conversations": [ { "from": "human", "question": "An environmental agency examined how many trees were planted by different organizations. How many more trees did Plant It plant than Dreaming Green?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nPlant It: 324\nDreaming Green: 180\n\nNow subtract: 324 - 180 = 144.\n\nPlant It planted 144 more trees than Dreaming Green.", "answer": "144", "table": "**Trees planted**\n\n| Organization | Number of trees planted |\n| --- | --- |\n| Plant It | 324 |\n| Acorns to Oaks | 851 |\n| Dreaming Green | 180 |" } ] }, { "id": "15882", "image": "15882.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{15 - 20}{16 - 15}\n = \\frac{-5}{1}\n = -5\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{5 - 20}{17 - 15}\n = \\frac{-15}{2}\n = -7\\frac{1}{2}\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 15 | 20 |\n| 16 | 15 |\n| 17 | 5 |" } ] }, { "id": "15883", "image": "15883.png", "conversations": [ { "from": "human", "question": "Eddie has $9.50. Does he have enough to buy a coffee mug and a glass bowl?\n" }, { "from": "gpt", "solution": "Add the price of a coffee mug and the price of a glass bowl:\n\n$2.93 + $6.97 = $9.90\n\n$9.90 is more than $9.50. Eddie does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| coffee mug | $2.93 |\n| glass measuring cup | $5.81 |\n| cookie jar | $5.92 |\n| serving platter | $8.06 |\n| glass bowl | $6.97 |" } ] }, { "id": "15903", "image": "15903.png", "conversations": [ { "from": "human", "question": "Pam kept track of how many boxes of cookies she sold over the past 7 days. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n5, 4, 4, 5, 5, 1, 1\n\nFirst, arrange the numbers from least to greatest:\n\n1, 1, 4, 4, 5, 5, 5\n\nNow count how many times each number appears.\n\n1 appears 2 times.\n4 appears 2 times.\n5 appears 3 times.\n\nThe number that appears most often is 5.\n\nThe mode is 5.", "answer": "5", "table": "**Boxes of cookies sold**\n\n| Day | Number of boxes |\n| --- | --- |\n| Friday | 5 |\n| Saturday | 4 |\n| Sunday | 4 |\n| Monday | 5 |\n| Tuesday | 5 |\n| Wednesday | 1 |\n| Thursday | 1 |" } ] }, { "id": "15906", "image": "15906.png", "conversations": [ { "from": "human", "question": "Several students participated in a race. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n46, 44, 49, 47, 48, 45, 42, 47\n\nFirst, count how many numbers are in the group.\n\nThere are 8 numbers.\n\nNow add all the numbers together:\n\n46 + 44 + 49 + 47 + 48 + 45 + 42 + 47 = 368\n\nNow divide the sum by the number of numbers:\n\n368 ÷ 8 = 46\n\nThe mean is 46.", "answer": "46", "table": "**Race results**\n\n| Runner | Time (minutes) |\n| --- | --- |\n| Krysta | 46 |\n| Aubrey | 44 |\n| Barbara | 49 |\n| Darnel | 47 |\n| Rebecca | 48 |\n| Evelyn | 45 |\n| Tanner | 42 |\n| Juan | 47 |" } ] }, { "id": "15908", "image": "15908.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{16 - 12}{6 - 5}\n = \\frac{4}{1}\n = 4\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{17 - 12}{7 - 5}\n = \\frac{5}{2}\n = 2\\frac{1}{2}\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 5 | 12 |\n| 6 | 16 |\n| 7 | 17 |" } ] }, { "id": "15918", "image": "15918.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{1 - 0}{6 - 5}\n = \\frac{1}{1}\n = 1\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{4 - 1}{7 - 6}\n = \\frac{3}{1}\n = 3\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 5 | 0 |\n| 6 | 1 |\n| 7 | 4 |" } ] }, { "id": "15920", "image": "15920.png", "conversations": [ { "from": "human", "question": "Mrs. Burton hosts an annual art contest for kids, and she keeps a record of the number of entries each year. According to the table, what was the rate of change between 2009 and 2010?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{46 entries - 50 entries}{2010 - 2009}\n = \\frac{46 entries - 50 entries}{1 year}\n = \\frac{-4 entries}{1 year}\n = -4 entries per year\nThe rate of change between 2009 and 2010 was - 4 entries per year.", "answer": "-4", "table": "**Art contest entries**\n\n| Year | Number of entries |\n| --- | --- |\n| 2009 | 50 |\n| 2010 | 46 |\n| 2011 | 39 |\n| 2012 | 41 |\n| 2013 | 34 |" } ] }, { "id": "15948", "image": "15948.png", "conversations": [ { "from": "human", "question": "How much money does Darrell need to buy 8 train tickets to Boston and 7 train tickets to St. Louis?\n" }, { "from": "gpt", "solution": "Find the cost of 8 train tickets to Boston.\n\n$282 × 8 = $2,256\n\nFind the cost of 7 train tickets to St. Louis.\n\n$437 × 7 = $3,059\n\nNow find the total cost.\n\n$2,256 + $3,059 = $5,315\n\nDarrell needs $5,315.", "answer": "5,315", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| train ticket to Seattle | $277 |\n| train ticket to Los Angeles | $554 |\n| train ticket to Boston | $282 |\n| train ticket to Miami | $182 |\n| train ticket to St. Louis | $437 |" } ] }, { "id": "15957", "image": "15957.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Nina just missed the 12.15 P.M. train at Ashland. What time is the next train?\n" }, { "from": "gpt", "solution": "Find 12:15 P. M. in the row for Ashland.\n\nLook for the next train in that row.\n\nThe next train is at 7:30 P. M.", "answer": "7:30 P.M.", "table": "**Train schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 | Column 5 | Column 6 |\n| --- | --- | --- | --- | --- | --- |\n| Springfield | 11:00 A.M. | 11:15 A.M. | 6:30 P.M. | 8:45 P.M. | 9:00 P.M. |\n| Ashland | 12:00 P.M. | 12:15 P.M. | 7:30 P.M. | 9:45 P.M. | 10:00 P.M. |\n| Lexington | 1:15 P.M. | 1:30 P.M. | 8:45 P.M. | 11:00 P.M. | 11:15 P.M. |\n| Burlington | 2:45 P.M. | 3:00 P.M. | 10:15 P.M. | 12:30 A.M. | 12:45 A.M. |\n| Newberry | 4:15 P.M. | 4:30 P.M. | 11:45 P.M. | 2:00 A.M. | 2:15 A.M. |\n| Lancaster | 4:45 P.M. | 5:00 P.M. | 12:15 A.M. | 2:30 A.M. | 2:45 A.M. |\n| Cedarburg | 5:15 P.M. | 5:30 P.M. | 12:45 A.M. | 3:00 A.M. | 3:15 A.M. |\n| Morristown | 6:00 P.M. | 6:15 P.M. | 1:30 A.M. | 3:45 A.M. | 4:00 A.M. |\n| Newberg | 7:00 P.M. | 7:15 P.M. | 2:30 A.M. | 4:45 A.M. | 5:00 A.M. |" } ] }, { "id": "15960", "image": "15960.png", "conversations": [ { "from": "human", "question": "Each bus has 5 passengers. How many passengers are on 4 buses?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 20 passengers on 4 buses.", "answer": "20", "table": "| Number of buses | Number of passengers |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | ? |" } ] }, { "id": "15962", "image": "15962.png", "conversations": [ { "from": "human", "question": "Jaden has $8,000.00. Does he have enough to buy a cello and a violin?\n" }, { "from": "gpt", "solution": "Add the price of a cello and the price of a violin:\n\n$1,557.00 + $6,861.00 = $8,418.00\n\n$8,418.00 is more than $8,000.00. Jaden does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| cornet | $1,107.00 |\n| violin | $6,861.00 |\n| cello | $1,557.00 |\n| bassoon | $5,563.00 |" } ] }, { "id": "15968", "image": "15968.png", "conversations": [ { "from": "human", "question": "Josh looked over his calendar to see how many times he had soccer practice each month. In which month did Josh have the most soccer practices?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 28.\n\nNow find the corresponding month. April corresponds to 28.", "answer": "April", "table": "**Soccer practice**\n\n| Month | Number of practices |\n| --- | --- |\n| November | 24 |\n| March | 23 |\n| April | 28 |\n| May | 22 |" } ] }, { "id": "15973", "image": "15973.png", "conversations": [ { "from": "human", "question": "Valentina's class recorded how many states each student has visited. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n26, 9, 15, 30, 8, 13\n\nFirst, find the greatest number. The greatest number is 30.\n\nNext, find the least number. The least number is 8.\n\nSubtract the least number from the greatest number:\n\n30 − 8 = 22\n\nThe range is 22.", "answer": "22", "table": "**States visited**\n\n| Name | Number of states |\n| --- | --- |\n| Valentina | 26 |\n| William | 9 |\n| Danielle | 15 |\n| Amelia | 30 |\n| Evan | 8 |\n| Chloe | 13 |" } ] }, { "id": "15979", "image": "15979.png", "conversations": [ { "from": "human", "question": "Before deciding which flavors of ice cream to bring to the county fair, the manager at Arianna's Ice Cream Parlor asked some children to vote for their favorite flavors. How many children voted for strawberry ice cream?\n" }, { "from": "gpt", "solution": "Find the row for strawberry. Add the numbers in the Strawberry row.\n\nAdd:\n\n16 + 12 = 28\n\n28 children voted for strawberry ice cream.", "answer": "28", "table": "**Favorite ice cream flavors**\n\n| Ice cream flavor | Girls | Boys |\n| --- | --- | --- |\n| Strawberry | 16 | 12 |\n| Mint chip | 8 | 3 |\n| Vanilla | 18 | 12 |\n| Pecan praline | 17 | 10 |" } ] }, { "id": "15984", "image": "15984.png", "conversations": [ { "from": "human", "question": "A newspaper researched how many grocery stores there are in each town. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 6, 8, 9, 6, 7, 9, 5\n\nFirst, count how many numbers are in the group.\n\nThere are 8 numbers.\n\nNow add all the numbers together:\n\n6 + 6 + 8 + 9 + 6 + 7 + 9 + 5 = 56\n\nNow divide the sum by the number of numbers:\n\n56 ÷ 8 = 7\n\nThe mean is 7.", "answer": "7", "table": "**Grocery stores in each town**\n\n| Town | Number of stores |\n| --- | --- |\n| Greenwood | 6 |\n| Chesterton | 6 |\n| Riverside | 8 |\n| Mayfield | 9 |\n| Richmond | 6 |\n| Watertown | 7 |\n| Marion | 9 |\n| Salem | 5 |" } ] }, { "id": "15992", "image": "15992.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $960, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $960, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $280 | 18,300 | 2,400 |\n| $450 | 16,400 | 3,700 |\n| $620 | 14,500 | 5,000 |\n| $790 | 12,600 | 6,300 |\n| $960 | 10,700 | 7,600 |" } ] }, { "id": "15997", "image": "15997.png", "conversations": [ { "from": "human", "question": "Jason has $0.06. Does he have enough to buy a brown cat's eye bead and a small pink bead?\n" }, { "from": "gpt", "solution": "Add the price of a brown cat's eye bead and the price of a small pink bead:\n\n$0.01 + $0.06 = $0.07\n\n$0.07 is more than $0.06. Jason does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| brown cat's eye bead | $0.01 |\n| shiny red bead | $0.03 |\n| round silver bead | $0.05 |\n| pearl bead | $0.09 |\n| orange glass bead | $0.01 |\n| small pink bead | $0.06 |" } ] }, { "id": "16005", "image": "16005.png", "conversations": [ { "from": "human", "question": "An economics student recorded the amount of per-capita aid that the U.S. gave to various countries during the 1900s. Per capita, how much more aid did Pakistan receive in 1980 than in 1990?\n" }, { "from": "gpt", "solution": "Find the Pakistan row. Find the numbers in this row for 1980 and 1990.\n\n1980: $14.00\n1990: $10.00\n\nNow subtract:\n\n$14.00 − $10.00 = $4.00\n\nPer capita, Pakistan received $4 more in aid in 1980 than in 1990.", "answer": "4", "table": "**Aid received per capita from the U.S.**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 1980 | 1990 |\n| Algeria | $9 | $10 |\n| Afghanistan | $2 | $7 |\n| Libya | $5 | $5 |\n| Pakistan | $14 | $10 |" } ] }, { "id": "16009", "image": "16009.png", "conversations": [ { "from": "human", "question": "A shipping company keeps track of the number of boxes in each shipment they send out. What is the smallest number of boxes?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 0.\n\nNow find the lowest leaf in the first row. The lowest leaf is 6.\n\nThe smallest number of boxes has a stem of 0 and a leaf of 6. Write the stem first, then the leaf: 06.\n\nThe smallest number of boxes is 6 boxes.", "answer": "6", "table": "**Boxes per shipment**\n\n| Stem | Leaf |\n| --- | --- |\n| 0 | 6, 9 |\n| 1 | 3, 5, 6, 8 |\n| 2 | 0, 4, 7 |\n| 3 | 4, 7 |\n| 4 | 0, 4, 6, 8 |\n| 5 | 2, 9, 9 |\n| 6 | 2, 5, 7 |\n| 7 | 0, 1, 9 |" } ] }, { "id": "16012", "image": "16012.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $1,100, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $1,100, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $930 | 16,900 | 4,100 |\n| $1,100 | 15,000 | 8,100 |\n| $1,270 | 13,100 | 12,100 |\n| $1,440 | 11,200 | 16,100 |\n| $1,610 | 9,300 | 20,100 |" } ] }, { "id": "16023", "image": "16023.png", "conversations": [ { "from": "human", "question": "What is the total cost for 1 kilogram of soybean oil?\n" }, { "from": "gpt", "solution": "Find the cost of the soybean oil. Multiply the price per kilogram by the number of kilograms.\n\n$2.90 × 1 = $2.90\n\nThe total cost is $2.90.", "answer": "2.90", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| soybean oil | $2.90 per kg |\n| olive oil | $1.91 per kg |\n| sunflower seed oil | $2.49 per kg |\n| peanut oil | $1.43 per kg |" } ] }, { "id": "16025", "image": "16025.png", "conversations": [ { "from": "human", "question": "A law firm in Weston kept track of how many hours were billed by each partner last year. What fraction of the hours were billed by Jamie? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many hours were billed by Jamie.\n\n1,000\n\nFind how many hours were billed in total.\n\n690 + 950 + 1,000 + 910 + 890 + 890 = 5,330\n\nDivide 1,000 by 5,330.\n\n\\frac{1,000}{5,330}\n\nReduce the fraction.\n\n\\frac{1,000}{5,330} → \\frac{100}{533}\n\n\\frac{100}{533} of hours were billed by Jamie.", "answer": "100/533", "table": "**Law firm hours billed**\n\n| Partner | Hours billed |\n| --- | --- |\n| Jenna | 690 |\n| Maddie | 950 |\n| Jamie | 1,000 |\n| Grayson | 910 |\n| Sidney | 890 |\n| Mitchell | 890 |" } ] }, { "id": "16026", "image": "16026.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $1,145, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $1,145, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $705 | 6,600 | 8,900 |\n| $815 | 6,100 | 11,500 |\n| $925 | 5,600 | 14,100 |\n| $1,035 | 5,100 | 16,700 |\n| $1,145 | 4,600 | 19,300 |" } ] }, { "id": "16030", "image": "16030.png", "conversations": [ { "from": "human", "question": "The members of the cycling club compared how many miles they biked last week. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n41, 46, 46, 54, 48\n\nFirst, count how many numbers are in the group.\n\nThere are 5 numbers.\n\nNow add all the numbers together:\n\n41 + 46 + 46 + 54 + 48 = 235\n\nNow divide the sum by the number of numbers:\n\n235 ÷ 5 = 47\n\nThe mean is 47.", "answer": "47", "table": "**Biking last week**\n\n| Name | Miles |\n| --- | --- |\n| Kira | 41 |\n| Dirk | 46 |\n| Chase | 46 |\n| Toby | 54 |\n| Steve | 48 |" } ] }, { "id": "16032", "image": "16032.png", "conversations": [ { "from": "human", "question": "To get credit for meeting her school's community service requirement, Haley kept a volunteering log. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n10, 6, 2, 9, 4\n\nFirst, arrange the numbers from least to greatest:\n\n2, 4, 6, 9, 10\n\nNow find the number in the middle.\n\n2, 4, 6, 9, 10\n\nThe number in the middle is 6.\n\nThe median is 6.", "answer": "6", "table": "**Hours spent volunteering**\n\n| Day | Hours |\n| --- | --- |\n| Monday | 10 |\n| Tuesday | 6 |\n| Wednesday | 2 |\n| Thursday | 9 |\n| Friday | 4 |" } ] }, { "id": "16048", "image": "16048.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $870, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $870, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $840 | 20,300 | 5,900 |\n| $850 | 15,700 | 8,900 |\n| $860 | 11,100 | 11,900 |\n| $870 | 6,500 | 14,900 |\n| $880 | 1,900 | 17,900 |" } ] }, { "id": "16053", "image": "16053.png", "conversations": [ { "from": "human", "question": "Elena has $0.74. Does she have enough to buy a shiny metal bead and a thick gray bead?\n" }, { "from": "gpt", "solution": "Add the price of a shiny metal bead and the price of a thick gray bead:\n\n$0.28 + $0.44 = $0.72\n\n$0.72 is less than $0.74. Elena does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| bead with green and blue swirls | $0.52 |\n| star-shaped silver bead | $0.47 |\n| shiny metal bead | $0.28 |\n| long red bead | $0.72 |\n| thick gray bead | $0.44 |\n| white bead with black spots | $0.27 |" } ] }, { "id": "16055", "image": "16055.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $620, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $620, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $480 | 20,200 | 11,400 |\n| $550 | 15,500 | 12,700 |\n| $620 | 10,800 | 14,000 |\n| $690 | 6,100 | 15,300 |\n| $760 | 1,400 | 16,600 |" } ] }, { "id": "16064", "image": "16064.png", "conversations": [ { "from": "human", "question": "Marcy's Candies has been studying how much chocolate people have been eating in different countries. How much more chocolate did Belgium consume per capita in 2005 than in 2002?\n" }, { "from": "gpt", "solution": "Find the Belgium row. Find the numbers in this row for 2005 and 2002.\n\n2005: 11\n2002: 8\n\nNow subtract:\n\n11 − 8 = 3\n\nBelgium consumed 3 kilograms more chocolate per capita in 2005 than in 2002.", "answer": "3", "table": "**Chocolate consumption per capita (kg)**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 2002 | 2005 |\n| Poland | 3 | 4 |\n| Denmark | 9 | 8 |\n| Belgium | 8 | 11 |\n| Austria | 8 | 9 |" } ] }, { "id": "16065", "image": "16065.png", "conversations": [ { "from": "human", "question": "Kamal kept track of the number of characters in each book he read. How many books had at least 30 characters but fewer than 50 characters?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 3 and 4.\n\nYou counted 8 leaves, which are blue in the stem-and-leaf plot above. 8 books had at least 30 characters but fewer than 50 characters.", "answer": "8", "table": "**Characters per book**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 1, 4 |\n| 3 | 6 |\n| 4 | 0, 0, 2, 3, 7, 8, 9 |\n| 5 | 1, 4 |" } ] }, { "id": "16068", "image": "16068.png", "conversations": [ { "from": "human", "question": "How much money does Francesca need to buy 9 gold rings?\n" }, { "from": "gpt", "solution": "Find the total cost of 9 gold rings by multiplying 9 times the price of a gold ring.\n\n$808 × 9 = $7,272\n\nFrancesca needs $7,272.", "answer": "7,272", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| topaz bracelet | $907 |\n| gold ring | $808 |\n| pearl necklace | $844 |\n| opal pendant | $951 |\n| emerald pendant | $606 |\n| jade bracelet | $641 |" } ] }, { "id": "16070", "image": "16070.png", "conversations": [ { "from": "human", "question": "Tracy has $5.78. Does she have enough to buy potatoes and poached eggs?\n" }, { "from": "gpt", "solution": "Add the price of potatoes and the price of poached eggs:\n\n$1.91 + $3.91 = $5.82\n\n$5.82 is more than $5.78. Tracy does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| potatoes | $1.91 |\n| sausage link | $2.75 |\n| bagel with cream cheese | $1.34 |\n| poached eggs | $3.91 |\n| hash browns | $2.92 |\n| slice of ham | $3.68 |" } ] }, { "id": "16071", "image": "16071.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which movie begins at 8.25 A.M.?\n" }, { "from": "gpt", "solution": "Find 8:25 A. M. on the schedule. A Mysterious Mystery begins at 8:25 A. M.", "answer": "A Mysterious Mystery", "table": "**Movie schedule**\n\n| Movie | Begin | End |\n| --- | --- | --- |\n| Aliens from Outer Space | 7:35 A.M. | 9:00 A.M. |\n| A Mysterious Mystery | 8:25 A.M. | 9:40 A.M. |\n| Two Funny Guys in a Big City | 9:00 A.M. | 10:40 A.M. |\n| Witches and Wizards on Broomsticks | 9:50 A.M. | 11:55 A.M. |\n| The Crystal Ball of Fortune | 11:20 A.M. | 1:25 P.M. |\n| Cartoon Penguin Adventure | 12:30 P.M. | 1:50 P.M. |\n| The True Story of a Championship Team | 1:20 P.M. | 4:15 P.M. |" } ] }, { "id": "16076", "image": "16076.png", "conversations": [ { "from": "human", "question": "After a field trip to the park, students in Mrs. Moore's art class counted the number of leaf rubbings they had made. How many students made more than 4 leaf rubbings?\n" }, { "from": "gpt", "solution": "Find the row for 5 leaf rubbings and read the frequency. The frequency is 5.\n\n5 students made more than 4 leaf rubbings.", "answer": "5", "table": "**Making leaf rubbings**\n\n| Leaf rubbings made | Frequency |\n| --- | --- |\n| 0 | 3 |\n| 1 | 20 |\n| 2 | 11 |\n| 3 | 6 |\n| 4 | 13 |\n| 5 | 5 |" } ] }, { "id": "16080", "image": "16080.png", "conversations": [ { "from": "human", "question": "Tyler went on a bird watching trip and jotted down the number of birds he saw each day. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n2, 6, 6, 2, 6\n\nFirst, arrange the numbers from least to greatest:\n\n2, 2, 6, 6, 6\n\nNow count how many times each number appears.\n\n2 appears 2 times.\n6 appears 3 times.\n\nThe number that appears most often is 6.\n\nThe mode is 6.", "answer": "6", "table": "**Number of birds**\n\n| Day | Number of birds |\n| --- | --- |\n| Friday | 2 |\n| Saturday | 6 |\n| Sunday | 6 |\n| Monday | 2 |\n| Tuesday | 6 |" } ] }, { "id": "16085", "image": "16085.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{2 - 7}{6 - 5}\n = \\frac{-5}{1}\n = -5\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{0 - 7}{7 - 5}\n = \\frac{-7}{2}\n = -3\\frac{1}{2}\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 5 | 7 |\n| 6 | 2 |\n| 7 | 0 |" } ] }, { "id": "16099", "image": "16099.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $730, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $730, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $290 | 12,500 | 8,600 |\n| $400 | 11,400 | 11,600 |\n| $510 | 10,300 | 14,600 |\n| $620 | 9,200 | 17,600 |\n| $730 | 8,100 | 20,600 |" } ] }, { "id": "16102", "image": "16102.png", "conversations": [ { "from": "human", "question": "Tammy has $1.06. Does she have enough to buy a tangerine and a nectarine?\n" }, { "from": "gpt", "solution": "Add the price of a tangerine and the price of a nectarine:\n\n$0.69 + $0.33 = $1.02\n\n$1.02 is less than $1.06. Tammy does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| apricot | $0.40 |\n| nectarine | $0.33 |\n| tangerine | $0.69 |\n| pear | $0.51 |" } ] }, { "id": "16106", "image": "16106.png", "conversations": [ { "from": "human", "question": "Christina has $26. Does she have enough to buy baked chicken and a pepperoni pizza?\n" }, { "from": "gpt", "solution": "Add the price of baked chicken and the price of a pepperoni pizza:\n\n$13 + $11 = $24\n\n$24 is less than $26. Christina does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pasta with meat sauce | $13 |\n| baked chicken | $13 |\n| pepperoni pizza | $11 |\n| lasagna | $10 |" } ] }, { "id": "16111", "image": "16111.png", "conversations": [ { "from": "human", "question": "Carmen kept a written log of how many miles she biked during the past 7 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n3, 5, 2, 6, 4, 7, 6\n\nFirst, arrange the numbers from least to greatest:\n\n2, 3, 4, 5, 6, 6, 7\n\nNow find the number in the middle.\n\n2, 3, 4, 5, 6, 6, 7\n\nThe number in the middle is 5.\n\nThe median is 5.", "answer": "5", "table": "**Miles biked**\n\n| Day | Number of miles |\n| --- | --- |\n| Tuesday | 3 |\n| Wednesday | 5 |\n| Thursday | 2 |\n| Friday | 6 |\n| Saturday | 4 |\n| Sunday | 7 |\n| Monday | 6 |" } ] }, { "id": "16118", "image": "16118.png", "conversations": [ { "from": "human", "question": "A volunteer for the local running club counted the number of participants at each race. How many races had fewer than 78 participants?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1, 2, 3, 4, 5, and 6.\n\nIn the row with stem 7, count all the leaves less than 8.\n\nYou counted 13 leaves, which are blue in the stem-and-leaf plots above. 13 races had fewer than 78 participants.", "answer": "13", "table": "**Participants per race**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 5 |\n| 2 | 5, 5 |\n| 3 | 0, 7 |\n| 4 | 4, 4 |\n| 5 | 0, 2, 8 |\n| 6 | |\n| 7 | 1, 2, 3, 9, 9 |\n| 8 | 4, 6 |\n| 9 | 0 |" } ] }, { "id": "16124", "image": "16124.png", "conversations": [ { "from": "human", "question": "Each package has 2 beads. How many beads are in 3 packages?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 6 beads in 3 packages.", "answer": "6", "table": "| Number of packages | Number of beads |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | ? |" } ] }, { "id": "16125", "image": "16125.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which event ends at 2.45 P.M.?\n" }, { "from": "gpt", "solution": "Find 2:45 P. M. on the schedule. The dolphin show ends at 2:45 P. M.", "answer": "dolphin show", "table": "**Aquarium schedule**\n\n| Event | Begin | End |\n| --- | --- | --- |\n| seahorse lecture | 10:00 A.M. | 11:15 A.M. |\n| whale feeding | 12:25 P.M. | 1:00 P.M. |\n| turtle lecture | 12:40 P.M. | 1:55 P.M. |\n| dolphin show | 2:00 P.M. | 2:45 P.M. |\n| starfish demonstration | 3:05 P.M. | 4:00 P.M. |" } ] }, { "id": "16131", "image": "16131.png", "conversations": [ { "from": "human", "question": "In hopes of raising more funds for arts education, some parents in the Greenpoint School District publicized the current per-student arts education budget. According to the table, what was the rate of change between 2014 and 2015?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{$18 - $15}{2015 - 2014}\n = \\frac{$18 - $15}{1 year}\n = \\frac{$3}{1 year}\n = $3 per year\nThe rate of change between 2014 and 2015 was $3 per year.", "answer": "3", "table": "**Greenpoint arts education budget**\n\n| Year | Per-student budget |\n| --- | --- |\n| 2014 | $15 |\n| 2015 | $18 |\n| 2016 | $25 |\n| 2017 | $25 |\n| 2018 | $24 |" } ] }, { "id": "16134", "image": "16134.png", "conversations": [ { "from": "human", "question": "Cody's Candies has been studying how much chocolate people have been eating in different countries. In 2002, how much more chocolate did Denmark consume per capita than Australia?\n" }, { "from": "gpt", "solution": "Find the 2002 column. Find the numbers in this column for Denmark and Australia.\n\nDenmark: 9\nAustralia: 4\n\nNow subtract:\n\n9 − 4 = 5\n\nIn 2002, Denmark consumed 5 kilograms more chocolate per capita than Australia.", "answer": "5", "table": "**Chocolate consumption per capita (kg)**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 2002 | 2005 |\n| Australia | 4 | 5 |\n| Germany | 10 | 11 |\n| Denmark | 9 | 8 |\n| Belgium | 8 | 11 |" } ] }, { "id": "16144", "image": "16144.png", "conversations": [ { "from": "human", "question": "A pair of Jasper High School hockey fans counted the number of games won by the school each year. According to the table, what was the rate of change between 2018 and 2019?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{16 games - 14 games}{2019 - 2018}\n = \\frac{16 games - 14 games}{1 year}\n = \\frac{2 games}{1 year}\n = 2 games per year\nThe rate of change between 2018 and 2019 was 2 games per year.", "answer": "2", "table": "**Hockey games won by Jasper High**\n\n| Year | Games won |\n| --- | --- |\n| 2016 | 9 |\n| 2017 | 12 |\n| 2018 | 14 |\n| 2019 | 16 |\n| 2020 | 7 |" } ] }, { "id": "16146", "image": "16146.png", "conversations": [ { "from": "human", "question": "Damon counted the number of ducks at each pond in the city. How many ponds had at least 50 ducks but fewer than 68 ducks?\n" }, { "from": "gpt", "solution": "Count all the leaves in the row with stem 5.\n\nIn the row with stem 6, count all the leaves less than 8.\n\nYou counted 5 leaves, which are blue in the stem-and-leaf plots above. 5 ponds had at least 50 ducks but fewer than 68 ducks.", "answer": "5", "table": "**Ducks per pond**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 0, 4, 5, 6 |\n| 5 | 2, 4 |\n| 6 | 1, 2, 3, 9 |\n| 7 | 0, 1, 4, 5, 6, 9 |" } ] }, { "id": "16148", "image": "16148.png", "conversations": [ { "from": "human", "question": "How much money does Janet need to buy a book about birds and a book about fish?\n" }, { "from": "gpt", "solution": "Add the price of a book about birds and the price of a book about fish:\n\n$6.67 + $6.93 = $13.60\n\nJanet needs $13.60.", "answer": "13.60", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| book about Europe | $8.33 |\n| book about reptiles | $6.54 |\n| book about birds | $6.67 |\n| book about South America | $7.51 |\n| book about music | $6.89 |\n| book about fish | $6.93 |" } ] }, { "id": "16152", "image": "16152.png", "conversations": [ { "from": "human", "question": "The orchestra director counted the number of violin, viola, cello, bass, and piano players who signed up to play at a retirement home. How many boys play the cello?\n" }, { "from": "gpt", "solution": "First, find the row for cello. Then find the number in the Boys column.\n\nThis number is 12. 12 boys play the cello.", "answer": "12", "table": "**Orchestra instruments**\n\n| Instrument | Boys | Girls |\n| --- | --- | --- |\n| Cello | 12 | 11 |\n| Viola | 14 | 14 |\n| Piano | 2 | 18 |" } ] }, { "id": "16155", "image": "16155.png", "conversations": [ { "from": "human", "question": "Mr. Kerr recorded the scores of his students on the most recent math quiz. How many students scored more than 9?\n" }, { "from": "gpt", "solution": "Find the row for 10 and read the frequency. The frequency is 13.\n\n13 students scored more than 9.", "answer": "13", "table": "**Scores on the math quiz**\n\n| Score | Frequency |\n| --- | --- |\n| 5 | 8 |\n| 6 | 6 |\n| 7 | 2 |\n| 8 | 19 |\n| 9 | 10 |\n| 10 | 13 |" } ] }, { "id": "16157", "image": "16157.png", "conversations": [ { "from": "human", "question": "A dentist was making note of his upcoming appointments with different aged patients and the reasons for their visits. What is the probability that a randomly selected appointment is with patients 19-60 years old and is for a broken tooth? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the appointment is with patients 19-60 years old\" and B be the event \"the appointment is for a broken tooth\".\nTo find the probability that a appointment is with patients 19-60 years old and is for a broken tooth, first identify the sample space and the event.\nThe outcomes in the sample space are the different appointments. Each appointment is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the appointment is with patients 19-60 years old and is for a broken tooth\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the appointment is with patients 19-60 years old and is for a broken tooth\", so look at the table to see how many appointments are with patients 19-60 years old and are for a broken tooth.\nThe number of appointments that are with patients 19-60 years old and are for a broken tooth is 4.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of appointments.\n5 + 2 + 1 + 4 = 12\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{4}{12}\n = \\frac{1}{3}\nThe probability that a appointment is with patients 19-60 years old and is for a broken tooth is \\frac{1}{3}.", "answer": "1/3", "table": "| | Regular cleaning | Broken tooth |\n| --- | --- | --- |\n| Patients under 18 years old | 5 | 1 |\n| Patients 19-60 years old | 2 | 4 |" } ] }, { "id": "16158", "image": "16158.png", "conversations": [ { "from": "human", "question": "The train conductor made sure to count the number of passengers on each train. How many trains had at least 90 passengers?\n" }, { "from": "gpt", "solution": "Count all the leaves in the row with stem 9.\n\nYou counted 1 leaf, which is blue in the stem-and-leaf plot above. 1 train had at least 90 passengers.", "answer": "1", "table": "**Passengers per train**\n\n| Stem | Leaf |\n| --- | --- |\n| 5 | 0, 2, 5 |\n| 6 | 2, 3, 4, 6, 8 |\n| 7 | 0, 0, 1, 3, 5, 5, 9 |\n| 8 | 1, 7, 8, 9 |\n| 9 | 0 |" } ] }, { "id": "16161", "image": "16161.png", "conversations": [ { "from": "human", "question": "If Melissa buys 3 pounds of chocolate pudding and 2 pounds of rice pudding, how much will she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the chocolate pudding. Multiply:\n\n$3 × 3 = $9\n\nFind the cost of the rice pudding. Multiply:\n\n$7 × 2 = $14\n\nNow find the total cost by adding:\n\n$9 + $14 = $23\n\nShe will spend $23.", "answer": "23", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| vanilla pudding | $4/lb |\n| tapioca pudding | $3/lb |\n| butterscotch pudding | $7/lb |\n| rice pudding | $7/lb |\n| chocolate pudding | $3/lb |" } ] }, { "id": "16163", "image": "16163.png", "conversations": [ { "from": "human", "question": "Kate kept a tally of the number of emails she received each day for a week. According to the table, what was the rate of change between Tuesday and Wednesday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{2 emails - 3 emails}{1 day}\n = \\frac{-1 emails}{1 day}\n = -1 emails per day\nThe rate of change between Tuesday and Wednesday was - 1 emails per day.", "answer": "-1", "table": "**Emails Kate received**\n\n| Day | Emails |\n| --- | --- |\n| Sunday | 1 |\n| Monday | 2 |\n| Tuesday | 3 |\n| Wednesday | 2 |\n| Thursday | 1 |" } ] }, { "id": "16165", "image": "16165.png", "conversations": [ { "from": "human", "question": "Kayla kept a tally of the number of emails she received each day for a week. According to the table, what was the rate of change between Friday and Saturday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{7 emails - 10 emails}{1 day}\n = \\frac{-3 emails}{1 day}\n = -3 emails per day\nThe rate of change between Friday and Saturday was - 3 emails per day.", "answer": "-3", "table": "**Emails Kayla received**\n\n| Day | Emails |\n| --- | --- |\n| Tuesday | 3 |\n| Wednesday | 7 |\n| Thursday | 10 |\n| Friday | 10 |\n| Saturday | 7 |" } ] }, { "id": "16172", "image": "16172.png", "conversations": [ { "from": "human", "question": "A biologist recorded the number of birds at lakes in Sparrowtown. Which lake has the most geese?\n" }, { "from": "gpt", "solution": "Look at the numbers in the Geese column. Find the greatest number in this column.\n\nThe greatest number is 14, which is in the Fog Lake row. Fog Lake has the most geese.", "answer": "Fog Lake", "table": "**Birds in local lakes**\n\n| Lake | Geese | Swans |\n| --- | --- | --- |\n| Blue Lake | 10 | 5 |\n| Long Lake | 10 | 6 |\n| Fog Lake | 14 | 11 |\n| Spring Lake | 5 | 6 |" } ] }, { "id": "16176", "image": "16176.png", "conversations": [ { "from": "human", "question": "Each bowl has 10 cherries. How many cherries are in 3 bowls?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 30 cherries in 3 bowls.", "answer": "30", "table": "| Number of bowls | Number of cherries |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | ? |" } ] }, { "id": "16187", "image": "16187.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $1,105, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $1,105, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $945 | 17,800 | 9,500 |\n| $1,105 | 17,300 | 10,800 |\n| $1,265 | 16,800 | 12,100 |\n| $1,425 | 16,300 | 13,400 |\n| $1,585 | 15,800 | 14,700 |" } ] }, { "id": "16189", "image": "16189.png", "conversations": [ { "from": "human", "question": "After a field trip to the park, students in Mrs. Hall's art class counted the number of leaf rubbings they had made. How many students are there in all?\n" }, { "from": "gpt", "solution": "Add the frequencies for each row.\n\nAdd:\n\n11 + 6 + 3 + 18 = 38\n\nThere are 38 students in all.", "answer": "38", "table": "**Making leaf rubbings**\n\n| Leaf rubbings made | Frequency |\n| --- | --- |\n| 0 | 11 |\n| 1 | 6 |\n| 2 | 3 |\n| 3 | 18 |" } ] }, { "id": "16191", "image": "16191.png", "conversations": [ { "from": "human", "question": "An economics student recorded the amount of per-capita aid that the U.S. gave to various countries during the 1900s. In 1990, which country received more aid per capita, Pakistan or Afghanistan?\n" }, { "from": "gpt", "solution": "Find the 1990 column. Compare the numbers in this column for Pakistan and Afghanistan.\n\n$10.00 is more than $7.00. In 1990, Pakistan received more aid per capita.", "answer": "Pakistan", "table": "**Aid received per capita from the U.S.**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 1990 | 2000 |\n| Algeria | $10 | $5 |\n| Libya | $5 | $3 |\n| Pakistan | $10 | $5 |\n| Afghanistan | $7 | $5 |" } ] }, { "id": "16192", "image": "16192.png", "conversations": [ { "from": "human", "question": "How much money does Ernest need to buy a baking dish and a mixing bowl?\n" }, { "from": "gpt", "solution": "Add the price of a baking dish and the price of a mixing bowl:\n\n$6 + $9 = $15\n\nErnest needs $15.", "answer": "15", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| cookbook | $3 |\n| baking dish | $6 |\n| cutting board | $9 |\n| mixing bowl | $9 |" } ] }, { "id": "16194", "image": "16194.png", "conversations": [ { "from": "human", "question": "How much would it cost to buy 5 kilograms of unsalted popcorn?\n" }, { "from": "gpt", "solution": "Find the cost of the unsalted popcorn. Multiply the price per kilogram by the number of kilograms.\n$2 × 5 = $10\nIt would cost $10.", "answer": "10", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| corn tortilla chips | $2/kilogram |\n| unsalted popcorn | $2/kilogram |\n| flour tortilla chips | $1/kilogram |\n| cheese puffs | $1/kilogram |" } ] }, { "id": "16199", "image": "16199.png", "conversations": [ { "from": "human", "question": "Natalie has $4,985.00. Does she have enough to buy a Cavalier King Charles Spaniel and a Beagle?\n" }, { "from": "gpt", "solution": "Add the price of a Cavalier King Charles Spaniel and the price of a Beagle:\n\n$3,703.00 + $1,378.00 = $5,081.00\n\n$5,081.00 is more than $4,985.00. Natalie does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| Pomeranian | $1,574.00 |\n| Cavalier King Charles Spaniel | $3,703.00 |\n| Akita | $3,472.00 |\n| Beagle | $1,378.00 |" } ] }, { "id": "16209", "image": "16209.png", "conversations": [ { "from": "human", "question": "A school interested in expanding its playground counted the number of times that students went down the slide during recess. How many students went down the slide at least 1 time?\n" }, { "from": "gpt", "solution": "Find the rows for 1, 2, and 3 times. Add the frequencies for these rows.\n\nAdd:\n\n17 + 3 + 7 = 27\n\n27 students went down the slide at least 1 time.", "answer": "27", "table": "**Going down the slide at recess**\n\n| Number of times | Frequency |\n| --- | --- |\n| 0 | 13 |\n| 1 | 17 |\n| 2 | 3 |\n| 3 | 7 |" } ] }, { "id": "16211", "image": "16211.png", "conversations": [ { "from": "human", "question": "How much money does Rosa need to buy 4 billboard ads and 8 full-page newspaper ads?\n" }, { "from": "gpt", "solution": "Find the cost of 4 billboard ads.\n\n$8,507.00 × 4 = $34,028.00\n\nFind the cost of 8 full-page newspaper ads.\n\n$3,676.00 × 8 = $29,408.00\n\nNow find the total cost.\n\n$34,028.00 + $29,408.00 = $63,436.00\n\nRosa needs $63,436.00.", "answer": "63,436", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| online ad | $2,301.00 |\n| radio ad | $1,944.00 |\n| magazine ad | $8,393.00 |\n| full-page newspaper ad | $3,676.00 |\n| TV ad | $7,881.00 |\n| billboard ad | $8,507.00 |" } ] }, { "id": "16213", "image": "16213.png", "conversations": [ { "from": "human", "question": "Look at this table. Is this relation a function?\n" }, { "from": "gpt", "solution": "Look at the x-values in the table.\n\nThe x-value 10 is paired with multiple y-values, so the relation is not a function.", "answer": "no", "table": "| x | y |\n| --- | --- |\n| 10 | 14 |\n| 12 | 15 |\n| 10 | 3 |" } ] }, { "id": "16220", "image": "16220.png", "conversations": [ { "from": "human", "question": "How much money does Sidney need to buy 8 racing bikes and 6 wetsuits?\n" }, { "from": "gpt", "solution": "Find the cost of 8 racing bikes.\n\n$571.00 × 8 = $4,568.00\n\nFind the cost of 6 wetsuits.\n\n$466.00 × 6 = $2,796.00\n\nNow find the total cost.\n\n$4,568.00 + $2,796.00 = $7,364.00\n\nSidney needs $7,364.00.", "answer": "7,364", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| wetsuit | $466.00 |\n| set of golf clubs | $318.00 |\n| surfboard | $715.00 |\n| racing bike | $571.00 |\n| pair of skis | $819.00 |" } ] }, { "id": "16221", "image": "16221.png", "conversations": [ { "from": "human", "question": "Some students compared how many clubs they belong to. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n2, 4, 8, 3, 10, 6, 4\n\nFirst, find the greatest number. The greatest number is 10.\n\nNext, find the least number. The least number is 2.\n\nSubtract the least number from the greatest number:\n\n10 − 2 = 8\n\nThe range is 8.", "answer": "8", "table": "**Clubs**\n\n| Name | Number of clubs |\n| --- | --- |\n| Dana | 2 |\n| Kari | 4 |\n| Roger | 8 |\n| Michelle | 3 |\n| Trent | 10 |\n| Bernie | 6 |\n| Andy | 4 |" } ] }, { "id": "16231", "image": "16231.png", "conversations": [ { "from": "human", "question": "During a lesson on graphing data, students in Mrs. Martha's math class guessed a number between 1 and 5 and recorded the results. How many students guessed a number greater than 4?\n" }, { "from": "gpt", "solution": "Find the row for 5 and read the frequency. The frequency is 8.\n\n8 students guessed a number greater than 4.", "answer": "8", "table": "**Guessing a number between 1 and 5**\n\n| Number guessed | Frequency |\n| --- | --- |\n| 1 | 4 |\n| 2 | 11 |\n| 3 | 13 |\n| 4 | 6 |\n| 5 | 8 |" } ] }, { "id": "16244", "image": "16244.png", "conversations": [ { "from": "human", "question": "Look at this table. Is this relation a function?\n" }, { "from": "gpt", "solution": "Look at the x-values in the table.\n\nEach of the x-values is paired with only one y-value, so the relation is a function.", "answer": "yes", "table": "| x | y |\n| --- | --- |\n| 14 | 2 |\n| 3 | 17 |\n| 7 | 4 |" } ] }, { "id": "16246", "image": "16246.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $775, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $775, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $775 | 19,700 | 8,200 |\n| $965 | 15,200 | 9,300 |\n| $1,155 | 10,700 | 10,400 |\n| $1,345 | 6,200 | 11,500 |\n| $1,535 | 1,700 | 12,600 |" } ] }, { "id": "16254", "image": "16254.png", "conversations": [ { "from": "human", "question": "The players on a quiz show received the following scores. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n65, 69, 71, 69, 65, 71, 69, 69\n\nFirst, arrange the numbers from least to greatest:\n\n65, 65, 69, 69, 69, 69, 71, 71\n\nNow count how many times each number appears.\n\n65 appears 2 times.\n69 appears 4 times.\n71 appears 2 times.\n\nThe number that appears most often is 69.\n\nThe mode is 69.", "answer": "69", "table": "**Quiz show scores**\n\n| Name | Score |\n| --- | --- |\n| Isaac | 65 |\n| Mitchell | 69 |\n| Charlie | 71 |\n| Roger | 69 |\n| Haley | 65 |\n| Tara | 71 |\n| Steven | 69 |\n| Dominic | 69 |" } ] }, { "id": "16255", "image": "16255.png", "conversations": [ { "from": "human", "question": "Ed was a spectator at his town's air guitar competition. Contestants were allowed to play either the acoustic or electric air guitar, but not both. Ed recorded which type of guitar each contestant played. He also counted the number of contestants wearing different kinds of pants, as there were some interesting stylistic choices. What is the probability that a randomly selected contestant played an electric guitar and was dressed in leather? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the contestant played an electric guitar\" and B be the event \"the contestant was dressed in leather\".\nTo find the probability that a contestant played an electric guitar and was dressed in leather, first identify the sample space and the event.\nThe outcomes in the sample space are the different contestants. Each contestant is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the contestant played an electric guitar and was dressed in leather\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the contestant played an electric guitar and was dressed in leather\", so look at the table to see how many contestants played an electric guitar and were dressed in leather.\nThe number of contestants who played an electric guitar and were dressed in leather is 5.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of contestants.\n4 + 5 + 4 + 4 = 17\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{5}{17}\nThe probability that a contestant played an electric guitar and was dressed in leather is \\frac{5}{17}.", "answer": "5/17", "table": "| | Leather | Velvet |\n| --- | --- | --- |\n| Acoustic guitar | 4 | 4 |\n| Electric guitar | 5 | 4 |" } ] }, { "id": "16257", "image": "16257.png", "conversations": [ { "from": "human", "question": "Janelle has $27. Does she have enough to buy a coloring book and a spelling workbook?\n" }, { "from": "gpt", "solution": "Add the price of a coloring book and the price of a spelling workbook:\n\n$19 + $11 = $30\n\n$30 is more than $27. Janelle does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| poetry book | $11 |\n| textbook | $17 |\n| spelling workbook | $11 |\n| coloring book | $19 |" } ] }, { "id": "16259", "image": "16259.png", "conversations": [ { "from": "human", "question": "On a camping trip, Clara kept a log of the types of snakes she saw. She noted their colors and approximate lengths. What is the probability that a randomly selected snake is red and 1 foot long? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the snake is red\" and B be the event \"the snake is 1 foot long\".\nTo find the probability that a snake is red and 1 foot long, first identify the sample space and the event.\nThe outcomes in the sample space are the different snakes. Each snake is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the snake is red and 1 foot long\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the snake is red and 1 foot long\", so look at the table to see how many snakes are red and 1 foot long.\nThe number of snakes that are red and 1 foot long is 4.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of snakes.\n4 + 5 + 3 + 5 = 17\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{4}{17}\nThe probability that a snake is red and 1 foot long is \\frac{4}{17}.", "answer": "4/17", "table": "| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| | 1 foot long | 2 feet long |\n| Red | 4 | 3 |\n| Bright orange | 5 | 5 |" } ] }, { "id": "16272", "image": "16272.png", "conversations": [ { "from": "human", "question": "Elijah, an employee at Chen's Convenience Store, looked at the sales of each of its soda products. On Friday, which beverage had the highest sales?\n" }, { "from": "gpt", "solution": "Look at the numbers in the Friday column. Find the greatest number in this column.\n\nThe greatest number is $13.00, which is in the Brenner's Juices row. On Friday, Brenner's Juices had the highest sales.", "answer": "Brenner's Juices", "table": "**Convenience store beverage sales**\n\n| Beverage | Thursday | Friday |\n| --- | --- | --- |\n| Brenner's Juices | $4 | $13 |\n| Sweet Sips | $1 | $11 |\n| Olde Tyme Cola | $12 | $10 |" } ] }, { "id": "16277", "image": "16277.png", "conversations": [ { "from": "human", "question": "Dr. Wagner, a pediatrician, weighed all the children who recently visited his office. How many children weighed at least 60 pounds but less than 70 pounds?\n" }, { "from": "gpt", "solution": "Count all the leaves in the row with stem 6.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 children weighed at least 60 pounds but less than 70 pounds.", "answer": "2", "table": "**Children's weights (lbs)**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 8 |\n| 3 | |\n| 4 | 0 |\n| 5 | 4, 9 |\n| 6 | 3, 8 |\n| 7 | 8 |\n| 8 | |\n| 9 | 0 |" } ] }, { "id": "16278", "image": "16278.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does the unicycle rider's performance begin?\n" }, { "from": "gpt", "solution": "Find the unicycle rider's performance on the schedule. Find the beginning time for the unicycle rider's performance.\n\nthe unicycle rider: 8:10 P. M.", "answer": "8:10 P.M.", "table": "**Circus schedule**\n\n| Performer | Begin | End |\n| --- | --- | --- |\n| the jugglers | 4:10 P.M. | 4:15 P.M. |\n| the trapeze artists | 4:25 P.M. | 4:45 P.M. |\n| the strongman | 5:00 P.M. | 5:05 P.M. |\n| the stuntman | 5:15 P.M. | 5:55 P.M. |\n| the tightrope walkers | 6:00 P.M. | 6:35 P.M. |\n| the magician | 6:40 P.M. | 7:20 P.M. |\n| the clowns | 7:35 P.M. | 8:05 P.M. |\n| the unicycle rider | 8:10 P.M. | 8:35 P.M. |" } ] }, { "id": "16279", "image": "16279.png", "conversations": [ { "from": "human", "question": "Each block has 10 houses. How many houses are on 5 blocks?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 50 houses on 5 blocks.", "answer": "50", "table": "| Number of blocks | Number of houses |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | 40 |\n| 5 | ? |" } ] }, { "id": "16285", "image": "16285.png", "conversations": [ { "from": "human", "question": "The school district compared how many math teachers each high school has. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 8, 10, 9, 5, 6, 5, 7\n\nFirst, count how many numbers are in the group.\n\nThere are 8 numbers.\n\nNow add all the numbers together:\n\n6 + 8 + 10 + 9 + 5 + 6 + 5 + 7 = 56\n\nNow divide the sum by the number of numbers:\n\n56 ÷ 8 = 7\n\nThe mean is 7.", "answer": "7", "table": "**Math teachers**\n\n| High school | Number of math teachers |\n| --- | --- |\n| River High | 6 |\n| Thompson High | 8 |\n| Lincoln High | 10 |\n| Northside High | 9 |\n| Washington High | 5 |\n| Green High | 6 |\n| Cedar High | 5 |\n| Hillview High | 7 |" } ] }, { "id": "16288", "image": "16288.png", "conversations": [ { "from": "human", "question": "Worried about going over his storage limit, Franklin monitored the number of undeleted voicemail messages stored on his phone each day. According to the table, what was the rate of change between Wednesday and Thursday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{4 voicemail messages - 8 voicemail messages}{1 day}\n = \\frac{-4 voicemail messages}{1 day}\n = -4 voicemail messages per day\nThe rate of change between Wednesday and Thursday was - 4 voicemail messages per day.", "answer": "-4", "table": "**Voicemail messages on Franklin's phone**\n\n| Day | Voicemail messages |\n| --- | --- |\n| Tuesday | 11 |\n| Wednesday | 8 |\n| Thursday | 4 |\n| Friday | 12 |\n| Saturday | 10 |" } ] }, { "id": "16299", "image": "16299.png", "conversations": [ { "from": "human", "question": "A plant nursery in Westminster keeps records of how many of its plants are annuals, biennials, and perennials. What fraction of the plants are perennials? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many plants are perennials.\n\n35\n\nFind how many plants the nursery has in total.\n\n90 + 66 + 35 = 191\n\nDivide 35 by191.\n\n\\frac{35}{191}\n\n\\frac{35}{191} of plants are perennials.", "answer": "35/191", "table": "**Distribution of plant types**\n\n| Type | Number of plants |\n| --- | --- |\n| Biennials | 90 |\n| Annuals | 66 |\n| Perennials | 35 |" } ] }, { "id": "16303", "image": "16303.png", "conversations": [ { "from": "human", "question": "A business magazine surveyed its readers about their commute times. How many commutes are less than 80 minutes?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1, 2, 3, 4, 5, 6, and 7.\n\nYou counted 14 leaves, which are blue in the stem-and-leaf plot above. 14 commutes are less than 80 minutes.", "answer": "14", "table": "**Commute time (minutes)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0 |\n| 2 | |\n| 3 | 0, 4, 5, 7 |\n| 4 | 3, 6 |\n| 5 | 2, 5 |\n| 6 | 1 |\n| 7 | 1, 2, 4, 7 |" } ] }, { "id": "16306", "image": "16306.png", "conversations": [ { "from": "human", "question": "Lara went on a camping trip and logged the number of miles she hiked each day. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n5, 6, 4, 4, 6, 5\n\nFirst, count how many numbers are in the group.\n\nThere are 6 numbers.\n\nNow add all the numbers together:\n\n5 + 6 + 4 + 4 + 6 + 5 = 30\n\nNow divide the sum by the number of numbers:\n\n30 ÷ 6 = 5\n\nThe mean is 5.", "answer": "5", "table": "**Miles hiked**\n\n| Day | Number of miles |\n| --- | --- |\n| Monday | 5 |\n| Tuesday | 6 |\n| Wednesday | 4 |\n| Thursday | 4 |\n| Friday | 6 |\n| Saturday | 5 |" } ] }, { "id": "16318", "image": "16318.png", "conversations": [ { "from": "human", "question": "A band from Newport went on tour over the summer, and each member chipped in for the cost of gas. What fraction of the gas money came from Lily? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how much money Lily contributed for gas.\n\n760\n\nFind how much money was contributed for gas in total.\n\n760 + 420 + 850 + 410 + 820 + 410 = 3,670\n\nDivide 760 by 3,670.\n\n\\frac{760}{3,670}\n\nReduce the fraction.\n\n\\frac{760}{3,670} → \\frac{76}{367}\n\n\\frac{76}{367} of Find how much money Lily contributed for gas.", "answer": "76/367", "table": "**Band tour gas costs**\n\n| Band member | Contribution ($) |\n| --- | --- |\n| Lily | 760 |\n| Raymond | 420 |\n| Dominic | 850 |\n| Travis | 410 |\n| Ernest | 820 |\n| Sharon | 410 |" } ] }, { "id": "16346", "image": "16346.png", "conversations": [ { "from": "human", "question": "For an economics project, Eric determined the cost of ferry rides for bicycles and cars. How much does it cost to take a car on the Ocracoke ferry?\n" }, { "from": "gpt", "solution": "First, find the row for Ocracoke. Then find the number in the Car column.\n\nThis number is $15.00. It costs $15 to take a car on the Ocracoke ferry.", "answer": "15", "table": "**Ferry fares**\n\n| Ferry | Car | Bicycle |\n| --- | --- | --- |\n| Seattle-Bremerton | $12 | $8 |\n| Fauntleroy-Vashon | $15 | $5 |\n| Mukilteu-Clinton | $7 | $5 |\n| Ocracoke | $15 | $3 |" } ] }, { "id": "16360", "image": "16360.png", "conversations": [ { "from": "human", "question": "Kayla kept a driving log to see how many miles she drove each day. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n5, 10, 4, 7, 7, 3\n\nFirst, count how many numbers are in the group.\n\nThere are 6 numbers.\n\nNow add all the numbers together:\n\n5 + 10 + 4 + 7 + 7 + 3 = 36\n\nNow divide the sum by the number of numbers:\n\n36 ÷ 6 = 6\n\nThe mean is 6.", "answer": "6", "table": "**Miles driven**\n\n| Day | Number of miles |\n| --- | --- |\n| Monday | 5 |\n| Tuesday | 10 |\n| Wednesday | 4 |\n| Thursday | 7 |\n| Friday | 7 |\n| Saturday | 3 |" } ] }, { "id": "16368", "image": "16368.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Naomi got on the bus at the grocery store at 10.45 A.M. What time will she get to the movie theater?\n" }, { "from": "gpt", "solution": "Find 10:45 A. M. in the row for the grocery store. That column shows the schedule for the bus that Naomi is on.\n\nLook down the column until you find the row for the movie theater.\n\nNaomi will get to the movie theater at 11:45 A. M.", "answer": "11:45 A.M.", "table": "**Bus schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 | Column 5 | Column 6 |\n| --- | --- | --- | --- | --- | --- |\n| the grocery store | 10:00 A.M. | 10:15 A.M. | 10:30 A.M. | 10:45 A.M. | 11:00 A.M. |\n| the movie theater | 11:00 A.M. | 11:15 A.M. | 11:30 A.M. | 11:45 A.M. | 12:00 P.M. |\n| the library | 12:00 P.M. | 12:15 P.M. | 12:30 P.M. | 12:45 P.M. | 1:00 P.M. |\n| the playground | 1:00 P.M. | 1:15 P.M. | 1:30 P.M. | 1:45 P.M. | 2:00 P.M. |" } ] }, { "id": "16375", "image": "16375.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which stop does the train depart from at 6.35 A.M.?\n" }, { "from": "gpt", "solution": "Find 6:35 A. M. on the schedule. The train departs from Floral Gardens at 6:35 A. M.", "answer": "Floral Gardens", "table": "**Train schedule**\n\n| Location | Arrive | Depart |\n| --- | --- | --- |\n| Rollercoaster Land | 5:15 A.M. | 5:35 A.M. |\n| Floral Gardens | 6:05 A.M. | 6:35 A.M. |\n| Comfy Pillows Resort | 7:10 A.M. | 7:35 A.M. |\n| Chickenville | 8:35 A.M. | 8:45 A.M. |\n| Rocky Ravine Town | 9:35 A.M. | 9:55 A.M. |\n| Pleasant River Campground | 10:25 A.M. | 10:35 A.M. |\n| Magician Village | 11:25 A.M. | 11:55 A.M. |" } ] }, { "id": "16381", "image": "16381.png", "conversations": [ { "from": "human", "question": "The Riverside Chamber of Commerce compared the local dealerships' vehicle sales. What fraction of the vehicles were sold by Truck City? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many vehicles were sold by Truck City.\n\n330\n\nFind how many vehicles were sold in total.\n\n530 + 850 + 870 + 330 + 490 + 480 = 3,550\n\nDivide 330 by 3,550.\n\n\\frac{330}{3,550}\n\nReduce the fraction.\n\n\\frac{330}{3,550} → \\frac{33}{355}\n\n\\frac{33}{355} of vehicles were sold by Truck City.", "answer": "33/355", "table": "**Vehicle sales**\n\n| Dealership | Number of vehicles |\n| --- | --- |\n| Tri-City Cars | 530 |\n| Ledbetter Auto Mall | 850 |\n| Truck Town | 870 |\n| Truck City | 330 |\n| RV City | 490 |\n| Other | 480 |" } ] }, { "id": "16383", "image": "16383.png", "conversations": [ { "from": "human", "question": "How much money does Anne need to buy a red pepper and a cucumber?\n" }, { "from": "gpt", "solution": "Add the price of a red pepper and the price of a cucumber:\n\n$1.32 + $1.28 = $2.60\n\nAnne needs $2.60.", "answer": "2.60", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| watermelon | $2.51 |\n| grapefruit | $1.17 |\n| cucumber | $1.28 |\n| red pepper | $1.32 |\n| pumpkin | $2.43 |" } ] }, { "id": "16384", "image": "16384.png", "conversations": [ { "from": "human", "question": "A business magazine surveyed its readers about their commute times. How many commutes are at least 80 minutes?\n" }, { "from": "gpt", "solution": "Count all the leaves in the row with stem 8.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 commutes are at least 80 minutes.", "answer": "2", "table": "**Commute time (minutes)**\n\n| Stem | Leaf |\n| --- | --- |\n| 5 | 1, 3, 5, 7, 7 |\n| 6 | |\n| 7 | 0, 1 |\n| 8 | 3, 6 |" } ] }, { "id": "16385", "image": "16385.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $1,160, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $1,160, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $560 | 20,000 | 5,000 |\n| $710 | 19,800 | 8,800 |\n| $860 | 19,600 | 12,600 |\n| $1,010 | 19,400 | 16,400 |\n| $1,160 | 19,200 | 20,200 |" } ] }, { "id": "16390", "image": "16390.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{13 - 17}{3 - 2}\n = \\frac{-4}{1}\n = -4\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{9 - 17}{4 - 2}\n = \\frac{-8}{2}\n = -4\nThe two rates of change are the same.\n4.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 2 | 17 |\n| 3 | 13 |\n| 4 | 9 |" } ] }, { "id": "16392", "image": "16392.png", "conversations": [ { "from": "human", "question": "A newspaper researched how many grocery stores there are in each town. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n2, 6, 3, 8, 7, 3, 4\n\nFirst, arrange the numbers from least to greatest:\n\n2, 3, 3, 4, 6, 7, 8\n\nNow find the number in the middle.\n\n2, 3, 3, 4, 6, 7, 8\n\nThe number in the middle is 4.\n\nThe median is 4.", "answer": "4", "table": "**Grocery stores in each town**\n\n| Town | Number of stores |\n| --- | --- |\n| Watertown | 2 |\n| Marion | 6 |\n| Columbia | 3 |\n| Riverside | 8 |\n| Salem | 7 |\n| Ashland | 3 |\n| Greenwood | 4 |" } ] }, { "id": "16398", "image": "16398.png", "conversations": [ { "from": "human", "question": "This is Duncan's complete financial record for July. On July 5, how much money did Duncan make?\n" }, { "from": "gpt", "solution": "Look at the 7/5 row. The amount received was $15.00. So, Duncan made $15.00 on July 5.\n", "answer": "15", "table": "| Date | Description | Received | Expenses | Available Funds |\n| --- | --- | --- | --- | --- |\n| | Balance: end of June | | | $450.70 |\n| 7/5 | cleaning the Owens' pool | $15.00 | | $465.70 |\n| 7/17 | bottle of water | | $1.50 | $464.20 |\n| 7/29 | swim trunks | | $16.80 | $447.40 |" } ] }, { "id": "16403", "image": "16403.png", "conversations": [ { "from": "human", "question": "Jeanette kept a tally of the number of emails she received each day for a week. According to the table, what was the rate of change between Wednesday and Thursday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{5 emails - 0 emails}{1 day}\n = \\frac{5 emails}{1 day}\n = 5 emails per day\nThe rate of change between Wednesday and Thursday was 5 emails per day.", "answer": "5", "table": "**Emails Jeanette received**\n\n| Day | Emails |\n| --- | --- |\n| Monday | 1 |\n| Tuesday | 2 |\n| Wednesday | 0 |\n| Thursday | 5 |\n| Friday | 1 |" } ] }, { "id": "16406", "image": "16406.png", "conversations": [ { "from": "human", "question": "A crayon factory monitored the number of broken crayons per box during the past day. What is the largest number of broken crayons?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 9.\n\nNow find the highest leaf in the last row. The highest leaf is 0.\n\nThe largest number of broken crayons has a stem of 9 and a leaf of 0. Write the stem first, then the leaf: 90.\n\nThe largest number of broken crayons is 90 broken crayons.", "answer": "90", "table": "**Broken crayons per box**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 4 |\n| 2 | |\n| 3 | 1, 3 |\n| 4 | 6 |\n| 5 | |\n| 6 | 0 |\n| 7 | 7 |\n| 8 | 6 |\n| 9 | 0 |" } ] }, { "id": "16408", "image": "16408.png", "conversations": [ { "from": "human", "question": "How much money does Quinn need to buy 9 TV ads and 9 magazine ads?\n" }, { "from": "gpt", "solution": "Find the cost of 9 TV ads.\n\n$6,323.00 × 9 = $56,907.00\n\nFind the cost of 9 magazine ads.\n\n$3,247.00 × 9 = $29,223.00\n\nNow find the total cost.\n\n$56,907.00 + $29,223.00 = $86,130.00\n\nQuinn needs $86,130.00.", "answer": "86,130", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| radio ad | $1,827.00 |\n| online ad | $2,770.00 |\n| billboard ad | $8,084.00 |\n| magazine ad | $3,247.00 |\n| TV ad | $6,323.00 |" } ] }, { "id": "16426", "image": "16426.png", "conversations": [ { "from": "human", "question": "Some friends went bowling and kept track of their scores. Who had the lowest score?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 118.\n\nNow find the corresponding name. Philip corresponds to 118.", "answer": "Philip", "table": "**Bowling scores**\n\n| Name | Score |\n| --- | --- |\n| Austen | 168 |\n| Sebastian | 161 |\n| Trent | 186 |\n| Philip | 118 |" } ] }, { "id": "16430", "image": "16430.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{11 - 20}{3 - 2}\n = \\frac{-9}{1}\n = -9\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{1 - 11}{4 - 3}\n = \\frac{-10}{1}\n = -10\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 2 | 20 |\n| 3 | 11 |\n| 4 | 1 |" } ] }, { "id": "16441", "image": "16441.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which event ends at 10.35 P.M.?\n" }, { "from": "gpt", "solution": "Find 10:35 P. M. on the schedule. The speed skating event ends at 10:35 P. M.", "answer": "speed skating event", "table": "**Winter Olympics schedule**\n\n| Event | Begin | End |\n| --- | --- | --- |\n| ski jumping | 11:45 A.M. | 12:55 P.M. |\n| downhill skiing | 11:55 A.M. | 2:10 P.M. |\n| snowboarding | 1:40 P.M. | 4:05 P.M. |\n| ice hockey | 3:30 P.M. | 9:30 P.M. |\n| speed skating | 8:55 P.M. | 10:35 P.M. |" } ] }, { "id": "16446", "image": "16446.png", "conversations": [ { "from": "human", "question": "Connor's classmates recorded how many books they read last year. Who read the fewest books?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 60.\n\nNow find the corresponding name. Connor corresponds to 60.", "answer": "Connor", "table": "**Books read**\n\n| Name | Number of books |\n| --- | --- |\n| Connor | 60 |\n| Lexi | 62 |\n| Eva | 63 |\n| Akira | 68 |" } ] }, { "id": "16447", "image": "16447.png", "conversations": [ { "from": "human", "question": "Each shelf has 10 shoeboxes. How many shoeboxes are on 6 shelves?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 60 shoeboxes on 6 shelves.", "answer": "60", "table": "| Number of shelves | Number of shoeboxes |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | 40 |\n| 5 | 50 |\n| 6 | ? |" } ] }, { "id": "16448", "image": "16448.png", "conversations": [ { "from": "human", "question": "The town council reported on how many stop signs there are on each street. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n5, 2, 4, 10, 7, 6, 1, 5\n\nFirst, count how many numbers are in the group.\n\nThere are 8 numbers.\n\nNow add all the numbers together:\n\n5 + 2 + 4 + 10 + 7 + 6 + 1 + 5 = 40\n\nNow divide the sum by the number of numbers:\n\n40 ÷ 8 = 5\n\nThe mean is 5.", "answer": "5", "table": "**Stop signs**\n\n| Street | Number of stop signs |\n| --- | --- |\n| Marshall Street | 5 |\n| Mason Street | 2 |\n| Jackson Street | 4 |\n| Spring Street | 10 |\n| Watson Street | 7 |\n| Irving Street | 6 |\n| Peabody Street | 1 |\n| Smith Street | 5 |" } ] }, { "id": "16455", "image": "16455.png", "conversations": [ { "from": "human", "question": "How much money does Martina need to buy a mop, a broom, and a padlock?\n" }, { "from": "gpt", "solution": "Find the total cost of a mop, a broom, and a padlock.\n\n$8.00 + $8.00 + $7.00 = $23.00\n\nMartina needs $23.00.", "answer": "23", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| broom | $8.00 |\n| mop | $8.00 |\n| padlock | $7.00 |\n| wrench | $6.00 |\n| measuring tape | $3.00 |" } ] }, { "id": "16472", "image": "16472.png", "conversations": [ { "from": "human", "question": "Mr. Stanley, a track coach, recorded the sizes of all the nearby track teams. How many teams have at least 50 members but fewer than 70 members?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 5 and 6.\n\nYou counted 7 leaves, which are blue in the stem-and-leaf plot above. 7 teams have at least 50 members but fewer than 70 members.", "answer": "7", "table": "**Track team sizes (number of members)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 4 |\n| 2 | 3, 9 |\n| 3 | 0, 5 |\n| 4 | 1, 6, 9 |\n| 5 | 4, 7, 7, 8 |\n| 6 | 1, 3, 9 |\n| 7 | 1, 2, 4, 9 |\n| 8 | 2, 3, 4, 8, 9, 9 |" } ] }, { "id": "16475", "image": "16475.png", "conversations": [ { "from": "human", "question": "Henry counted the number of problems on each of his tests. How many tests had at least 78 problems?\n" }, { "from": "gpt", "solution": "Find the row with stem 7. Count all the leaves greater than or equal to 8.\n\nCount all the leaves in the rows with stems 8 and 9.\n\nYou counted 1 leaf, which is blue in the stem-and-leaf plots above. 1 test had at least 78 problems.", "answer": "1", "table": "**Problems per test**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 3, 7, 9 |\n| 2 | |\n| 3 | |\n| 4 | 4 |\n| 5 | 5 |\n| 6 | |\n| 7 | 4 |\n| 8 | |\n| 9 | 0 |" } ] }, { "id": "16478", "image": "16478.png", "conversations": [ { "from": "human", "question": "Every afternoon, Dana enjoys a cup of hot tea in one of her many teacups. Once, Dana counted all the teacups in her collection, noting their colors and size. What is the probability that a randomly selected cup is yellow and small? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the cup is yellow\" and B be the event \"the cup is small\".\nTo find the probability that a cup is yellow and small, first identify the sample space and the event.\nThe outcomes in the sample space are the different cups. Each cup is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the cup is yellow and small\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the cup is yellow and small\", so look at the table to see how many cups are yellow and small.\nThe number of cups that are yellow and small is 4.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of cups.\n3 + 4 + 2 + 2 = 11\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{4}{11}\nThe probability that a cup is yellow and small is \\frac{4}{11}.", "answer": "4/11", "table": "| | Small | Medium |\n| --- | --- | --- |\n| Green | 3 | 2 |\n| Yellow | 4 | 2 |" } ] }, { "id": "16487", "image": "16487.png", "conversations": [ { "from": "human", "question": "An environmental agency examined how many trees were planted by different organizations. In all, how many trees were planted by Dreaming Green and New Planet?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nDreaming Green: 141\nNew Planet: 132\n\nNow add: 141 + 132 = 273.\n\nIn all, 273 trees were planted by Dreaming Green and New Planet.", "answer": "273", "table": "**Trees planted**\n\n| Organization | Number of trees planted |\n| --- | --- |\n| Make it Green | 304 |\n| Heal the Earth | 155 |\n| Acorns to Oaks | 469 |\n| Dreaming Green | 141 |\n| New Planet | 132 |" } ] }, { "id": "16496", "image": "16496.png", "conversations": [ { "from": "human", "question": "A biologist recorded the number of birds at lakes in Clarksville. Which lake has the fewest birds?\n" }, { "from": "gpt", "solution": "Add the numbers in each row.\n\nLong Lake: 5 + 17 = 22\nMirror Lake: 9 + 17 = 26\nRound Lake: 18 + 13 = 31\nBlue Lake: 14 + 13 = 27\n\nThe least sum is 22, which is the total for the Long Lake row. Long Lake has the fewest birds.", "answer": "Long Lake", "table": "**Birds in local lakes**\n\n| Lake | Ducks | Swans |\n| --- | --- | --- |\n| Long Lake | 5 | 17 |\n| Mirror Lake | 9 | 17 |\n| Round Lake | 18 | 13 |\n| Blue Lake | 14 | 13 |" } ] }, { "id": "16499", "image": "16499.png", "conversations": [ { "from": "human", "question": "Tracy counted the pages in each book on her English class's required reading list. How many books had at least 70 pages but less than 80 pages?\n" }, { "from": "gpt", "solution": "Count all the leaves in the row with stem 7.\n\nYou counted 8 leaves, which are blue in the stem-and-leaf plot above. 8 books had at least 70 pages but less than 80 pages.", "answer": "8", "table": "**Pages per book**\n\n| Stem | Leaf |\n| --- | --- |\n| 6 | 0, 0, 1, 2, 3, 4 |\n| 7 | 0, 1, 2, 3, 3, 4, 4, 5 |\n| 8 | 0, 1, 2, 3, 4, 5, 8, 8 |\n| 9 | 0 |" } ] }, { "id": "16505", "image": "16505.png", "conversations": [ { "from": "human", "question": "Greg and Pat are synchronized divers training for the Olympics. Their coach uses cameras to photograph each dive. After each practice, they review the pictures together. The table shows the divers' heights above or below the water in one of the pictures. Which diver is closer to the surface of the water?\n" }, { "from": "gpt", "solution": "Greg's elevation is negative, so he is below the surface of the water. Pat's elevation is positive, so he is above the surface of the water.\nTo find the diver closer to the surface of the water, use absolute value. Absolute value tells you how far each diver is from the surface of the water.\nGreg: |-15| = 15\nPat: |12| = 12\nGreg is 15 cm below the water, but Pat is only12 cm above the water. So, Pat is closer to the surface.", "answer": "Pat", "table": "| Diver | Elevation (cm) |\n| --- | --- |\n| Greg | -15 |\n| Pat | 12 |" } ] }, { "id": "16509", "image": "16509.png", "conversations": [ { "from": "human", "question": "Martha wants to buy 1.4 pounds of alphabet confetti. How much will she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the alphabet confetti. Multiply the price per pound by the number of pounds.\n$10 × 1.4 = $14\nShe will spend $14.", "answer": "14", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| alphabet confetti | $10/pound |\n| animal confetti | $10/pound |\n| heart confetti | $10/pound |\n| graduation confetti | $10/pound |" } ] }, { "id": "16520", "image": "16520.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which stop does the bus depart from at 11.05 A.M.?\n" }, { "from": "gpt", "solution": "Find 11:05 A. M. on the schedule. The bus departs from the aquarium at 11:05 A. M.", "answer": "aquarium", "table": "**Tour bus schedule**\n\n| Location | Arrive | Depart |\n| --- | --- | --- |\n| the aquarium | 10:10 A.M. | 11:05 A.M. |\n| downtown | 11:35 A.M. | 12:15 P.M. |\n| landmark sculpture | 12:45 P.M. | 1:05 P.M. |\n| science museum | 1:15 P.M. | 2:10 P.M. |\n| shopping district | 2:30 P.M. | 3:30 P.M. |\n| famous bridge | 4:00 P.M. | 4:25 P.M. |" } ] }, { "id": "16530", "image": "16530.png", "conversations": [ { "from": "human", "question": "Scarlett looked at her calendar to figure out how much time she spent babysitting each month. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n4, 6, 6, 4, 5\n\nFirst, arrange the numbers from least to greatest:\n\n4, 4, 5, 6, 6\n\nNow find the number in the middle.\n\n4, 4, 5, 6, 6\n\nThe number in the middle is 5.\n\nThe median is 5.", "answer": "5", "table": "**Hours of babysitting**\n\n| Month | Hours |\n| --- | --- |\n| August | 4 |\n| September | 6 |\n| October | 6 |\n| November | 4 |\n| December | 5 |" } ] }, { "id": "16542", "image": "16542.png", "conversations": [ { "from": "human", "question": "The staff of a game show tracked the performance of all the contestants during the past season. How many people scored at least 20 points but fewer than 30 points?\n" }, { "from": "gpt", "solution": "Count all the leaves in the row with stem 2.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 people scored at least 20 points but fewer than 30 points.", "answer": "2", "table": "**Game show scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 6, 9 |\n| 3 | 1 |\n| 4 | |\n| 5 | 7 |\n| 6 | 1, 4, 5, 8 |\n| 7 | 4 |\n| 8 | 5, 5 |" } ] }, { "id": "16543", "image": "16543.png", "conversations": [ { "from": "human", "question": "A donut shop recorded how many donuts it sold in the past 4 days. On which day did the shop sell the fewest donuts?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 438.\n\nNow find the corresponding day. Saturday corresponds to 438.", "answer": "Saturday", "table": "**Donuts sold**\n\n| Day | Number of donuts |\n| --- | --- |\n| Friday | 443 |\n| Saturday | 438 |\n| Sunday | 484 |\n| Monday | 483 |" } ] }, { "id": "16548", "image": "16548.png", "conversations": [ { "from": "human", "question": "A magazine editor looked at her sales figures for the past 4 months. In which month were the fewest copies sold?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 731.\n\nNow find the corresponding month. March corresponds to 731.", "answer": "March", "table": "**Magazines sold**\n\n| Month | Number of magazines |\n| --- | --- |\n| February | 763 |\n| March | 731 |\n| April | 736 |\n| May | 776 |" } ] }, { "id": "16564", "image": "16564.png", "conversations": [ { "from": "human", "question": "Hannah counted the number of peanuts in each bag of trail mix. How many bags had fewer than 89 peanuts?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1, 2, 3, 4, 5, 6, and 7.\n\nIn the row with stem 8, count all the leaves less than 9.\n\nYou counted 10 leaves, which are blue in the stem-and-leaf plots above. 10 bags had fewer than 89 peanuts.", "answer": "10", "table": "**Peanuts per bag of trail mix**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1, 4, 7, 8 |\n| 2 | 4 |\n| 3 | 4, 5 |\n| 4 | |\n| 5 | |\n| 6 | 2 |\n| 7 | 0 |\n| 8 | 1, 9 |" } ] }, { "id": "16567", "image": "16567.png", "conversations": [ { "from": "human", "question": "A car dealership tracked the number of cars sold each month. In which month did the dealership sell the most cars?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 459.\n\nNow find the corresponding month. January corresponds to 459.", "answer": "January", "table": "**Cars sold**\n\n| Month | Number of cars |\n| --- | --- |\n| December | 425 |\n| January | 459 |\n| February | 424 |\n| March | 445 |" } ] }, { "id": "16568", "image": "16568.png", "conversations": [ { "from": "human", "question": "Aiden bought 3.4 pounds of paper beads. How much did he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the paper beads. Multiply the price per pound by the number of pounds.\n$4 × 3.4 = $13.60\nHe spent $13.60.", "answer": "13.60", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| wooden beads | $12/lb |\n| metal beads | $9/lb |\n| ceramic beads | $10/lb |\n| crystal beads | $12/lb |\n| glass beads | $11/lb |\n| paper beads | $4/lb |" } ] }, { "id": "16577", "image": "16577.png", "conversations": [ { "from": "human", "question": "How much money does Donald need to buy a fish bowl and a bag of birdseed?\n" }, { "from": "gpt", "solution": "Add the price of a fish bowl and the price of a bag of birdseed:\n\n$5 + $9 = $14\n\nDonald needs $14.", "answer": "14", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| bag of birdseed | $9 |\n| dog bowl | $9 |\n| fish bowl | $5 |\n| box of dog biscuits | $2 |\n| dog leash | $3 |\n| hamster wheel | $3 |" } ] }, { "id": "16582", "image": "16582.png", "conversations": [ { "from": "human", "question": "Savannah makes friendship bracelets to sell at craft fairs. She made a frequency chart of the bracelets she sold in December. The single-color bracelets sell for $3 each, and the multicolored ones sell for $5. How much money did Savannah make from her single-color bracelets in December?\n" }, { "from": "gpt", "solution": "Step 1: Find how many single-color bracelets Savannah sold.\nAdd to find how many single-color bracelets she sold.\n16 + 25 + 12 + 32 = 85\nSavannah sold 85 single-color bracelets.\nStep 2: Find how much money Savannah made from single-color bracelets.\nShe sold 85 single-color bracelets for $3 each. Multiply.\n85 × $3 = $255\nSavannah made $255 from the single-color bracelets she sold in December.", "answer": "255", "table": "**Bracelets sold in December**\n\n| Color | Frequency |\n| --- | --- |\n| red | 16 |\n| blue | 25 |\n| yellow | 12 |\n| pink | 32 |\n| multicolored | 8 |" } ] }, { "id": "16584", "image": "16584.png", "conversations": [ { "from": "human", "question": "A technical support line tracked how many calls it received each day. On which day did the support line receive the most calls?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 382.\n\nNow find the corresponding day. Tuesday corresponds to 382.", "answer": "Tuesday", "table": "**Phone calls received**\n\n| Day | Number of calls |\n| --- | --- |\n| Monday | 318 |\n| Tuesday | 382 |\n| Wednesday | 331 |\n| Thursday | 381 |" } ] }, { "id": "16592", "image": "16592.png", "conversations": [ { "from": "human", "question": "The city recorded how many fire hydrants there are on each street. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n3, 1, 3, 4, 4, 3, 3\n\nFirst, find the greatest number. The greatest number is 4.\n\nNext, find the least number. The least number is 1.\n\nSubtract the least number from the greatest number:\n\n4 − 1 = 3\n\nThe range is 3.", "answer": "3", "table": "**Fire hydrants**\n\n| Street | Number of hydrants |\n| --- | --- |\n| Lemon Street | 3 |\n| Fir Street | 1 |\n| Cedar Street | 3 |\n| Elm Street | 4 |\n| Aspen Street | 4 |\n| Pine Street | 3 |\n| Oak Street | 3 |" } ] }, { "id": "16594", "image": "16594.png", "conversations": [ { "from": "human", "question": "A hot dog stand kept track of the number of hot dogs sold each day. On which day did the stand sell the fewest hot dogs?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 31.\n\nNow find the corresponding day. Monday corresponds to 31.", "answer": "Monday", "table": "**Hot dogs sold**\n\n| Day | Number of hot dogs |\n| --- | --- |\n| Saturday | 38 |\n| Sunday | 32 |\n| Monday | 31 |\n| Tuesday | 34 |" } ] }, { "id": "16599", "image": "16599.png", "conversations": [ { "from": "human", "question": "A museum curator counted the number of paintings in each exhibit at the art museum. How many exhibits have exactly 34 paintings?\n" }, { "from": "gpt", "solution": "For the number 34, the stem is 3, and the leaf is 4. Find the row where the stem is 3. In that row, count all the leaves equal to 4.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 exhibits have exactly 34 paintings.", "answer": "2", "table": "**Paintings per exhibit**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0 |\n| 2 | 0, 4, 6 |\n| 3 | 4, 4 |\n| 4 | |\n| 5 | 0 |\n| 6 | 8 |" } ] }, { "id": "16600", "image": "16600.png", "conversations": [ { "from": "human", "question": "How much money does Greg need to buy a nightstand and a rocking chair?\n" }, { "from": "gpt", "solution": "Add the price of a nightstand and the price of a rocking chair:\n\n$86 + $52 = $138\n\nGreg needs $138.", "answer": "138", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| TV stand | $27 |\n| nightstand | $86 |\n| desk | $64 |\n| coffee table | $49 |\n| rocking chair | $52 |" } ] }, { "id": "16606", "image": "16606.png", "conversations": [ { "from": "human", "question": "Some students compared how many blocks they live from school. Who lives the closest to school?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 10.\n\nNow find the corresponding name. Omar corresponds to 10.", "answer": "Omar", "table": "**Blocks from school**\n\n| Name | Number of blocks |\n| --- | --- |\n| Omar | 10 |\n| Paula | 19 |\n| Anna | 17 |\n| Danny | 13 |" } ] }, { "id": "16616", "image": "16616.png", "conversations": [ { "from": "human", "question": "Shannon recalled how many goals she had made in soccer practice each day. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n4, 6, 2, 5, 8, 2\n\nFirst, find the greatest number. The greatest number is 8.\n\nNext, find the least number. The least number is 2.\n\nSubtract the least number from the greatest number:\n\n8 − 2 = 6\n\nThe range is 6.", "answer": "6", "table": "**Goals made**\n\n| Day | Number of goals |\n| --- | --- |\n| Monday | 4 |\n| Tuesday | 6 |\n| Wednesday | 2 |\n| Thursday | 5 |\n| Friday | 8 |\n| Saturday | 2 |" } ] }, { "id": "16627", "image": "16627.png", "conversations": [ { "from": "human", "question": "A museum curator counted the number of paintings in each exhibit at the art museum. How many exhibits have exactly 43 paintings?\n" }, { "from": "gpt", "solution": "For the number 43, the stem is 4, and the leaf is 3. Find the row where the stem is 4. In that row, count all the leaves equal to 3.\n\nYou counted 1 leaf, which is blue in the stem-and-leaf plot above. 1 exhibit has exactly 43 paintings.", "answer": "1", "table": "**Paintings per exhibit**\n\n| Stem | Leaf |\n| --- | --- |\n| 0 | 9 |\n| 1 | 6 |\n| 2 | |\n| 3 | 1 |\n| 4 | 3 |\n| 5 | 4, 5, 6, 9, 9 |\n| 6 | 8 |\n| 7 | 2 |\n| 8 | 1 |" } ] }, { "id": "16629", "image": "16629.png", "conversations": [ { "from": "human", "question": "A taxi cab driver tracked how many miles she drove each month. How many more miles did the taxi cab driver drive in July than in August?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nJuly: 3,229\nAugust: 1,075\n\nNow subtract: 3,229 - 1,075 = 2,154.\n\nThe taxi cab driver drove 2,154 more miles in July.", "answer": "2,154", "table": "**Miles driven**\n\n| Month | Miles |\n| --- | --- |\n| July | 3,229 |\n| August | 1,075 |\n| September | 5,242 |" } ] }, { "id": "16630", "image": "16630.png", "conversations": [ { "from": "human", "question": "Emilia counted the number of pairs of shoes for sale at each of the shoe stores in the mall. How many stores have at least 60 pairs of shoes but fewer than 100 pairs of shoes?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 6, 7, 8, and 9.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 stores have at least 60 pairs of shoes but fewer than 100 pairs of shoes.", "answer": "4", "table": "**Pairs of shoes per store**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 4 |\n| 5 | 0, 6 |\n| 6 | 0 |\n| 7 | |\n| 8 | 4, 9 |\n| 9 | 0 |" } ] }, { "id": "16632", "image": "16632.png", "conversations": [ { "from": "human", "question": "Kiera buys 3/4 of a pound of chamomile tea. How much does she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the chamomile tea. Multiply the price per pound by the number of pounds.\n$3 × \\frac{3}{4} = $3 × 0.75 = $2.25\nShe spends $2.25.", "answer": "2.25", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| chamomile tea | $3/pound |\n| pomegranate tea | $3/pound |\n| green tea | $4/pound |\n| chai tea | $3/pound |\n| black tea | $5/pound |" } ] }, { "id": "16639", "image": "16639.png", "conversations": [ { "from": "human", "question": "Worried about going over her storage limit, Harper monitored the number of undeleted voicemail messages stored on her phone each day. According to the table, what was the rate of change between Tuesday and Wednesday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{17 voicemail messages - 16 voicemail messages}{1 day}\n = \\frac{1 voicemail message}{1 day}\n = 1 voicemail message per day\nThe rate of change between Tuesday and Wednesday was 1 voicemail message per day.", "answer": "1", "table": "**Voicemail messages on Harper's phone**\n\n| Day | Voicemail messages |\n| --- | --- |\n| Monday | 19 |\n| Tuesday | 16 |\n| Wednesday | 17 |\n| Thursday | 9 |\n| Friday | 13 |" } ] }, { "id": "16642", "image": "16642.png", "conversations": [ { "from": "human", "question": "Kayla tracked the maximum daily wind speed for 5 days. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n8, 7, 7, 8, 8\n\nFirst, arrange the numbers from least to greatest:\n\n7, 7, 8, 8, 8\n\nNow count how many times each number appears.\n\n7 appears 2 times.\n8 appears 3 times.\n\nThe number that appears most often is 8.\n\nThe mode is 8.", "answer": "8", "table": "**Daily wind speed**\n\n| Day | Wind speed (miles per hour) |\n| --- | --- |\n| Wednesday | 8 |\n| Thursday | 7 |\n| Friday | 7 |\n| Saturday | 8 |\n| Sunday | 8 |" } ] }, { "id": "16666", "image": "16666.png", "conversations": [ { "from": "human", "question": "Reba paid attention to how many comic strips she read in the past 5 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n10, 8, 10, 10, 6\n\nFirst, arrange the numbers from least to greatest:\n\n6, 8, 10, 10, 10\n\nNow find the number in the middle.\n\n6, 8, 10, 10, 10\n\nThe number in the middle is 10.\n\nThe median is 10.", "answer": "10", "table": "**Comic strips read**\n\n| Day | Number of comic strips |\n| --- | --- |\n| Friday | 10 |\n| Saturday | 8 |\n| Sunday | 10 |\n| Monday | 10 |\n| Tuesday | 6 |" } ] }, { "id": "16671", "image": "16671.png", "conversations": [ { "from": "human", "question": "Miguel was a spectator at his town's air guitar competition. Contestants were allowed to play either the acoustic or electric air guitar, but not both. Miguel recorded which type of guitar each contestant played. He also counted the number of contestants wearing different kinds of pants, as there were some interesting stylistic choices. What is the probability that a randomly selected contestant played an acoustic guitar and was dressed in leather? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the contestant played an acoustic guitar\" and B be the event \"the contestant was dressed in leather\".\nTo find the probability that a contestant played an acoustic guitar and was dressed in leather, first identify the sample space and the event.\nThe outcomes in the sample space are the different contestants. Each contestant is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the contestant played an acoustic guitar and was dressed in leather\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the contestant played an acoustic guitar and was dressed in leather\", so look at the table to see how many contestants played an acoustic guitar and were dressed in leather.\nThe number of contestants who played an acoustic guitar and were dressed in leather is 3.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of contestants.\n3 + 3 + 5 + 6 = 17\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{3}{17}\nThe probability that a contestant played an acoustic guitar and was dressed in leather is \\frac{3}{17}.", "answer": "3/17", "table": "| | Leather | Velvet |\n| --- | --- | --- |\n| Acoustic guitar | 3 | 5 |\n| Electric guitar | 3 | 6 |" } ] }, { "id": "16673", "image": "16673.png", "conversations": [ { "from": "human", "question": "The school district compared how many math teachers each high school has. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n10, 10, 6, 4, 5, 4, 2\n\nFirst, find the greatest number. The greatest number is 10.\n\nNext, find the least number. The least number is 2.\n\nSubtract the least number from the greatest number:\n\n10 − 2 = 8\n\nThe range is 8.", "answer": "8", "table": "**Math teachers**\n\n| High school | Number of math teachers |\n| --- | --- |\n| Westside High | 10 |\n| Thompson High | 10 |\n| Cedar High | 6 |\n| River High | 4 |\n| Lincoln High | 5 |\n| Hillview High | 4 |\n| Moore High | 2 |" } ] }, { "id": "16676", "image": "16676.png", "conversations": [ { "from": "human", "question": "The board of commerce recorded how many employees work at each company. Which company has the fewest employees?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 514.\n\nNow find the corresponding company. Future Computers corresponds to 514.", "answer": "Future Computers", "table": "**Company sizes**\n\n| Company | Number of employees |\n| --- | --- |\n| ABC Electronics | 515 |\n| Madison Corporation | 548 |\n| Future Computers | 514 |\n| Bronson Attorneys | 554 |" } ] }, { "id": "16683", "image": "16683.png", "conversations": [ { "from": "human", "question": "A math textbook explains probability by showing a set of cards numbered 4 through 9 and showing the number of people who might draw each card. How many people are there in all?\n" }, { "from": "gpt", "solution": "Add the frequencies for each row.\n\nAdd:\n\n1 + 9 + 8 + 16 + 11 + 12 = 57\n\nThere are 57 people in all.", "answer": "57", "table": "**Drawing a card between 4 and 9**\n\n| Number drawn | Frequency |\n| --- | --- |\n| 4 | 1 |\n| 5 | 9 |\n| 6 | 8 |\n| 7 | 16 |\n| 8 | 11 |\n| 9 | 12 |" } ] }, { "id": "16685", "image": "16685.png", "conversations": [ { "from": "human", "question": "Brianna conducted a blind taste test on some of her friends in order to determine if organic fruits tasted different than non-organic fruits. Each friend ate one type of fruit. What is the probability that a randomly selected friend preferred non-organic and tasted apples? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the friend preferred non-organic\" and B be the event \"the friend tasted apples\".\nTo find the probability that a friend preferred non-organic and tasted apples, first identify the sample space and the event.\nThe outcomes in the sample space are the different friends. Each friend is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the friend preferred non-organic and tasted apples\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the friend preferred non-organic and tasted apples\", so look at the table to see how many friends preferred non-organic and tasted apples.\nThe number of friends who preferred non-organic and tasted apples is 1.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of friends.\n3 + 1 + 4 + 3 = 11\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{1}{11}\nThe probability that a friend preferred non-organic and tasted apples is \\frac{1}{11}.", "answer": "1/11", "table": "| | Apples | Peaches |\n| --- | --- | --- |\n| Organic | 3 | 4 |\n| Non-organic | 1 | 3 |" } ] }, { "id": "16688", "image": "16688.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $1,345, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $1,345, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $835 | 10,300 | 2,700 |\n| $1,005 | 9,800 | 6,700 |\n| $1,175 | 9,300 | 10,700 |\n| $1,345 | 8,800 | 14,700 |\n| $1,515 | 8,300 | 18,700 |" } ] }, { "id": "16699", "image": "16699.png", "conversations": [ { "from": "human", "question": "An architecture student measured the heights of all the buildings downtown. How many buildings are exactly 38 meters tall?\n" }, { "from": "gpt", "solution": "For the number 38, the stem is 3, and the leaf is 8. Find the row where the stem is 3. In that row, count all the leaves equal to 8.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 buildings are exactly 38 meters tall.", "answer": "2", "table": "**Building heights (meters)**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 1, 8, 8 |\n| 4 | 6, 7, 9 |\n| 5 | 2, 6, 8 |\n| 6 | |\n| 7 | 4 |\n| 8 | 0, 0 |\n| 9 | 0 |" } ] }, { "id": "16700", "image": "16700.png", "conversations": [ { "from": "human", "question": "How much more does a denim jacket cost than a blue sweater?\n" }, { "from": "gpt", "solution": "Subtract the price of a blue sweater from the price of a denim jacket.\n\n$15.59 - $15.44 = $0.15\n\nA denim jacket costs $0.15 more than a blue sweater.", "answer": "0.15", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| denim jacket | $15.59 |\n| blue sweater | $15.44 |\n| winter jacket | $38.19 |\n| green sweatshirt | $15.80 |" } ] }, { "id": "16704", "image": "16704.png", "conversations": [ { "from": "human", "question": "Some farmers compared how many sheep were in their flocks. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n45, 57, 53, 53, 57, 53, 45\n\nFirst, arrange the numbers from least to greatest:\n\n45, 45, 53, 53, 53, 57, 57\n\nNow count how many times each number appears.\n\n45 appears 2 times.\n53 appears 3 times.\n57 appears 2 times.\n\nThe number that appears most often is 53.\n\nThe mode is 53.", "answer": "53", "table": "**Sheep owned**\n\n| Farmer | Number of sheep |\n| --- | --- |\n| Farmer Mike | 45 |\n| Farmer Betty | 57 |\n| Farmer Dave | 53 |\n| Farmer Meghan | 53 |\n| Farmer Bob | 57 |\n| Farmer Jo | 53 |\n| Farmer Wendy | 45 |" } ] }, { "id": "16706", "image": "16706.png", "conversations": [ { "from": "human", "question": "Karen bought 4 pounds of silk scraps and 4 pounds of canvas scraps. How much did she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the silk scraps. Multiply:\n\n$9.08 × 4 = $36.32\n\nFind the cost of the canvas scraps. Multiply:\n\n$8.17 × 4 = $32.68\n\nNow find the total cost by adding:\n\n$36.32 + $32.68 = $69\n\nShe spent $69.", "answer": "69", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| silk scraps | $9.08/lb |\n| denim scraps | $8.47/lb |\n| canvas scraps | $8.17/lb |\n| felt scraps | $7.29/lb |\n| faux fur scraps | $11.79/lb |\n| lace scraps | $6.37/lb |" } ] }, { "id": "16713", "image": "16713.png", "conversations": [ { "from": "human", "question": "Neil wrote down how many pages he read over the past 7 days. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n73, 74, 68, 68, 74, 74, 73\n\nFirst, arrange the numbers from least to greatest:\n\n68, 68, 73, 73, 74, 74, 74\n\nNow count how many times each number appears.\n\n68 appears 2 times.\n73 appears 2 times.\n74 appears 3 times.\n\nThe number that appears most often is 74.\n\nThe mode is 74.", "answer": "74", "table": "**Pages read**\n\n| Day | Number of pages |\n| --- | --- |\n| Tuesday | 73 |\n| Wednesday | 74 |\n| Thursday | 68 |\n| Friday | 68 |\n| Saturday | 74 |\n| Sunday | 74 |\n| Monday | 73 |" } ] }, { "id": "16720", "image": "16720.png", "conversations": [ { "from": "human", "question": "On a camping trip, Bridgette kept a log of the types of snakes she saw. She noted their colors and approximate lengths. What is the probability that a randomly selected snake is 1 foot long and red? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the snake is 1 foot long\" and B be the event \"the snake is red\".\nTo find the probability that a snake is 1 foot long and red, first identify the sample space and the event.\nThe outcomes in the sample space are the different snakes. Each snake is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the snake is 1 foot long and red\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the snake is 1 foot long and red\", so look at the table to see how many snakes are 1 foot long and red.\nThe number of snakes that are 1 foot long and red is 4.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of snakes.\n4 + 4 + 5 + 3 = 16\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{4}{16}\n = \\frac{1}{4}\nThe probability that a snake is 1 foot long and red is \\frac{1}{4}.", "answer": "1/4", "table": "| | Red | Bright orange |\n| --- | --- | --- |\n| 1 foot long | 4 | 5 |\n| 2 feet long | 4 | 3 |" } ] }, { "id": "16728", "image": "16728.png", "conversations": [ { "from": "human", "question": "Convinced that she could do well as a competitor, Danielle tracked the scores on a TV game show over the course of a week. How many people scored more than 6?\n" }, { "from": "gpt", "solution": "Find the rows for 7, 8, 9, and 10. Add the frequencies for these rows.\n\nAdd:\n\n20 + 17 + 19 + 10 = 66\n\n66 people scored more than 6.", "answer": "66", "table": "**Scores on a TV game show**\n\n| Score | Frequency |\n| --- | --- |\n| 5 | 0 |\n| 6 | 1 |\n| 7 | 20 |\n| 8 | 17 |\n| 9 | 19 |\n| 10 | 10 |" } ] }, { "id": "16729", "image": "16729.png", "conversations": [ { "from": "human", "question": "Matthew has $428.00. How much money will Matthew have left if he buys a king snake and a bearded dragon?\n" }, { "from": "gpt", "solution": "Find the total cost of a king snake and a bearded dragon.\n\n$119.00 + $118.00 = $237.00\n\nNow subtract the total cost from the starting amount.\n\n$428.00 - $237.00 = $191.00\n\nMatthew will have $191.00 left.", "answer": "191", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| king snake | $119.00 |\n| chameleon | $277.00 |\n| chinchilla | $112.00 |\n| bearded dragon | $118.00 |" } ] }, { "id": "16733", "image": "16733.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which game begins at 3.40 P.M.?\n" }, { "from": "gpt", "solution": "Find 3:40 P. M. on the schedule. The Thunder versus Eagles game begins at 3:40 P. M.", "answer": "Thunder versus Eagles game", "table": "**Soccer tournament schedule**\n\n| Game | Begin | End |\n| --- | --- | --- |\n| Tigers versus Wolves | 10:20 A.M. | 11:50 A.M. |\n| Sharks versus Storm | 11:05 A.M. | 12:35 P.M. |\n| Cardinals versus Cobras | 12:30 P.M. | 2:00 P.M. |\n| Lightning versus Coyotes | 12:40 P.M. | 2:10 P.M. |\n| Fire versus Blizzard | 1:15 P.M. | 2:45 P.M. |\n| Dolphins versus Bears | 1:55 P.M. | 3:25 P.M. |\n| Lions versus Blue Jays | 2:00 P.M. | 3:30 P.M. |\n| Waves versus Alligators | 2:20 P.M. | 3:50 P.M. |\n| Hawks versus Jaguars | 3:00 P.M. | 4:30 P.M. |\n| Thunder versus Eagles | 3:40 P.M. | 5:10 P.M. |" } ] }, { "id": "16741", "image": "16741.png", "conversations": [ { "from": "human", "question": "Each box has 5 yogurt pops. How many yogurt pops are in 6 boxes?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 30 yogurt pops in 6 boxes.", "answer": "30", "table": "| Number of boxes | Number of yogurt pops |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | 20 |\n| 5 | 25 |\n| 6 | ? |" } ] }, { "id": "16746", "image": "16746.png", "conversations": [ { "from": "human", "question": "To get a rough estimate of his melon farm's profits for the year, Pedro decided to look at some data about melon prices in the past. How much did a container of watermelons cost in 1995?\n" }, { "from": "gpt", "solution": "First, find the row for watermelons. Then find the number in the 1995 column.\n\nThis number is $5.00. A container of watermelons cost $5 in 1995.", "answer": "5", "table": "**Melon price per container**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Kind of melon | 1995 | 1996 |\n| Cantaloupes | $7 | $8 |\n| Watermelons | $5 | $3 |\n| Honeydews | $10 | $7 |" } ] }, { "id": "16771", "image": "16771.png", "conversations": [ { "from": "human", "question": "Sandra was a spectator at her town's air guitar competition. Contestants were allowed to play either the acoustic or electric air guitar, but not both. Sandra recorded which type of guitar each contestant played. She also counted the number of contestants wearing different kinds of pants, as there were some interesting stylistic choices. What is the probability that a randomly selected contestant was dressed in velvet and played an acoustic guitar? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the contestant was dressed in velvet\" and B be the event \"the contestant played an acoustic guitar\".\nTo find the probability that a contestant was dressed in velvet and played an acoustic guitar, first identify the sample space and the event.\nThe outcomes in the sample space are the different contestants. Each contestant is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the contestant was dressed in velvet and played an acoustic guitar\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the contestant was dressed in velvet and played an acoustic guitar\", so look at the table to see how many contestants were dressed in velvet and played an acoustic guitar.\nThe number of contestants who were dressed in velvet and played an acoustic guitar is 5.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of contestants.\n3 + 5 + 4 + 3 = 15\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{5}{15}\n = \\frac{1}{3}\nThe probability that a contestant was dressed in velvet and played an acoustic guitar is \\frac{1}{3}.", "answer": "1/3", "table": "| | Acoustic guitar | Electric guitar |\n| --- | --- | --- |\n| Leather | 3 | 4 |\n| Velvet | 5 | 3 |" } ] }, { "id": "16774", "image": "16774.png", "conversations": [ { "from": "human", "question": "Victoria has $1,287.00. Does she have enough to buy a scale and a precision balance?\n" }, { "from": "gpt", "solution": "Add the price of a scale and the price of a precision balance:\n\n$380.00 + $930.00 = $1,310.00\n\n$1,310.00 is more than $1,287.00. Victoria does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| case of test tubes | $297.00 |\n| scale | $380.00 |\n| pipette | $403.00 |\n| precision balance | $930.00 |" } ] }, { "id": "16784", "image": "16784.png", "conversations": [ { "from": "human", "question": "Mrs. Montoya hosts an annual art contest for kids, and she keeps a record of the number of entries each year. According to the table, what was the rate of change between 2012 and 2013?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{23 entries - 26 entries}{2013 - 2012}\n = \\frac{23 entries - 26 entries}{1 year}\n = \\frac{-3 entries}{1 year}\n = -3 entries per year\nThe rate of change between 2012 and 2013 was - 3 entries per year.", "answer": "-3", "table": "**Art contest entries**\n\n| Year | Number of entries |\n| --- | --- |\n| 2010 | 39 |\n| 2011 | 25 |\n| 2012 | 26 |\n| 2013 | 23 |\n| 2014 | 31 |" } ] }, { "id": "16785", "image": "16785.png", "conversations": [ { "from": "human", "question": "Each shelf has 10 plates. How many plates are on 3 shelves?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 30 plates on 3 shelves.", "answer": "30", "table": "| Number of shelves | Number of plates |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | ? |" } ] }, { "id": "16786", "image": "16786.png", "conversations": [ { "from": "human", "question": "What is the total cost for 1.2 pounds of ranch dressing?\n" }, { "from": "gpt", "solution": "Find the cost of the ranch dressing. Multiply the price per pound by the number of pounds.\n$3 × 1.2 = $3.60\nThe total cost is $3.60.", "answer": "3.60", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| blue cheese dressing | $4 per lb |\n| ranch dressing | $3 per lb |\n| raspberry vinaigrette | $5 per lb |\n| Thousand Island dressing | $4 per lb |\n| balsamic vinaigrette | $3 per lb |" } ] }, { "id": "16788", "image": "16788.png", "conversations": [ { "from": "human", "question": "Carrie has $1,260.00. Does she have enough to buy an oven and a microwave?\n" }, { "from": "gpt", "solution": "Add the price of an oven and the price of a microwave:\n\n$932.00 + $292.00 = $1,224.00\n\n$1,224.00 is less than $1,260.00. Carrie does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| stove | $938.00 |\n| barbecue grill | $301.00 |\n| dishwasher | $354.00 |\n| oven | $932.00 |\n| microwave | $292.00 |\n| washing machine | $961.00 |" } ] }, { "id": "16789", "image": "16789.png", "conversations": [ { "from": "human", "question": "Jennifer wrote down how many spelling words she practiced each day. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 4, 9, 4, 8, 8, 8\n\nFirst, arrange the numbers from least to greatest:\n\n4, 4, 8, 8, 8, 9, 9\n\nNow count how many times each number appears.\n\n4 appears 2 times.\n8 appears 3 times.\n9 appears 2 times.\n\nThe number that appears most often is 8.\n\nThe mode is 8.", "answer": "8", "table": "**Spelling words practiced**\n\n| Day | Number of spelling words |\n| --- | --- |\n| Friday | 9 |\n| Saturday | 4 |\n| Sunday | 9 |\n| Monday | 4 |\n| Tuesday | 8 |\n| Wednesday | 8 |\n| Thursday | 8 |" } ] }, { "id": "16795", "image": "16795.png", "conversations": [ { "from": "human", "question": "How much money does Lacey need to buy an orange T-shirt, a pair of white socks, and a pair of shorts?\n" }, { "from": "gpt", "solution": "Find the total cost of an orange T-shirt, a pair of white socks, and a pair of shorts.\n\n$7 + $4 + $5 = $16\n\nLacey needs $16.", "answer": "16", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| orange T-shirt | $7 |\n| long-sleeved shirt | $4 |\n| pair of white socks | $4 |\n| pair of shorts | $5 |" } ] }, { "id": "16796", "image": "16796.png", "conversations": [ { "from": "human", "question": "An actor was informed how many fan letters he received each day. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n3, 10, 6, 3, 6, 7\n\nFirst, find the greatest number. The greatest number is 10.\n\nNext, find the least number. The least number is 3.\n\nSubtract the least number from the greatest number:\n\n10 − 3 = 7\n\nThe range is 7.", "answer": "7", "table": "**Fan letters received**\n\n| Day | Number of fan letters |\n| --- | --- |\n| Thursday | 3 |\n| Friday | 10 |\n| Saturday | 6 |\n| Monday | 3 |\n| Tuesday | 6 |\n| Wednesday | 7 |" } ] }, { "id": "16797", "image": "16797.png", "conversations": [ { "from": "human", "question": "Every year Ashland has a citywide relay and reports the winning times. According to the table, what was the rate of change between 2010 and 2011?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{33 minutes - 30 minutes}{2011 - 2010}\n = \\frac{33 minutes - 30 minutes}{1 year}\n = \\frac{3 minutes}{1 year}\n = 3 minutes per year\nThe rate of change between 2010 and 2011 was 3 minutes per year.", "answer": "3", "table": "**Winning relay times**\n\n| Year | Winning time (minutes) |\n| --- | --- |\n| 2009 | 38 |\n| 2010 | 30 |\n| 2011 | 33 |\n| 2012 | 35 |\n| 2013 | 33 |" } ] }, { "id": "16800", "image": "16800.png", "conversations": [ { "from": "human", "question": "In science class, Monica is learning about places with extreme temperatures. She learns that the highest temperature ever recorded was in Death Valley, California. She also learns that the lowest temperature ever recorded was in Vostok Station, Antarctica. The record-setting temperatures of the two locations are shown in the table. Which location's temperature was further from zero?\n" }, { "from": "gpt", "solution": "A positive number means the temperature was above zero. A negative number means the temperature was below zero.\nTo find which temperature was further from zero, use absolute value. Absolute value tells you how far a temperature is from zero.\nDeath Valley: |134| = 134\nVostok Station: |-128| = 128\nThe temperature of Death Valley was further from zero. It was 134 degrees above zero.", "answer": "Death Valley", "table": "| Location | Temperature (°F) |\n| --- | --- |\n| Death Valley | 134 |\n| Vostok Station | -128 |" } ] }, { "id": "16804", "image": "16804.png", "conversations": [ { "from": "human", "question": "Each laundry hamper has 2 pairs of shorts. How many pairs of shorts are in 6 laundry hampers?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 12 pairs of shorts in 6 laundry hampers.", "answer": "12", "table": "| Number of laundry hampers | Number of pairs of shorts |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | 6 |\n| 4 | 8 |\n| 5 | 10 |\n| 6 | ? |" } ] }, { "id": "16808", "image": "16808.png", "conversations": [ { "from": "human", "question": "The elementary school art teacher wrote down how many flower pots each child painted last week. How many children painted exactly 5 flower pots?\n" }, { "from": "gpt", "solution": "Find the row for 5 flower pots and read the frequency. The frequency is 15.\n\n15 children painted exactly 5 flower pots.", "answer": "15", "table": "**Painting flower pots**\n\n| Flower pots painted | Frequency |\n| --- | --- |\n| 0 | 9 |\n| 1 | 5 |\n| 2 | 11 |\n| 3 | 8 |\n| 4 | 13 |\n| 5 | 15 |\n| 6 | 17 |" } ] }, { "id": "16809", "image": "16809.png", "conversations": [ { "from": "human", "question": "Cody has $944.00. How much money will Cody have left if he buys a pot-bellied pig and a chinchilla?\n" }, { "from": "gpt", "solution": "Find the total cost of a pot-bellied pig and a chinchilla.\n\n$274.00 + $160.00 = $434.00\n\nNow subtract the total cost from the starting amount.\n\n$944.00 - $434.00 = $510.00\n\nCody will have $510.00 left.", "answer": "510", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| bearded dragon | $314.00 |\n| cockatoo | $231.00 |\n| chinchilla | $160.00 |\n| pot-bellied pig | $274.00 |" } ] }, { "id": "16814", "image": "16814.png", "conversations": [ { "from": "human", "question": "How much more does a beach umbrella cost than a red clay pot?\n" }, { "from": "gpt", "solution": "Subtract the price of a red clay pot from the price of a beach umbrella.\n\n$65.26 - $26.79 = $38.47\n\nA beach umbrella costs $38.47 more than a red clay pot.", "answer": "38.47", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| red clay pot | $26.79 |\n| beach umbrella | $65.26 |\n| fountain | $96.65 |\n| hammock | $40.66 |" } ] }, { "id": "16816", "image": "16816.png", "conversations": [ { "from": "human", "question": "A shipping company keeps track of the number of boxes in each shipment they send out. How many shipments had at least 10 boxes?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1, 2, 3, 4, 5, 6, and 7.\n\nYou counted 23 leaves, which are blue in the stem-and-leaf plot above. 23 shipments had at least 10 boxes.", "answer": "23", "table": "**Boxes per shipment**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 0, 2, 6, 8 |\n| 2 | 4, 6 |\n| 3 | |\n| 4 | 2, 2, 4, 8, 9 |\n| 5 | 1, 3, 6 |\n| 6 | 2, 2, 3, 8, 9, 9 |\n| 7 | 3, 7 |" } ] }, { "id": "16820", "image": "16820.png", "conversations": [ { "from": "human", "question": "For Earth Day, Kingwood High's environmental club tracked the number of seeds planted by its members. How many members planted exactly 5 seeds?\n" }, { "from": "gpt", "solution": "Find the row for 5 seeds and read the frequency. The frequency is 19.\n\n19 members planted exactly 5 seeds.", "answer": "19", "table": "**Planting seeds in the garden**\n\n| Seeds planted | Frequency |\n| --- | --- |\n| 0 | 12 |\n| 1 | 9 |\n| 2 | 8 |\n| 3 | 11 |\n| 4 | 16 |\n| 5 | 19 |" } ] }, { "id": "16821", "image": "16821.png", "conversations": [ { "from": "human", "question": "Mitchell has $24.50. Does he have enough to buy baked chicken and pasta with meat sauce?\n" }, { "from": "gpt", "solution": "Add the price of baked chicken and the price of pasta with meat sauce:\n\n$13.51 + $10.35 = $23.86\n\n$23.86 is less than $24.50. Mitchell does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| lasagna | $14.45 |\n| pasta with white sauce | $13.52 |\n| pasta with clams | $13.24 |\n| eggplant parmesan | $18.97 |\n| baked chicken | $13.51 |\n| pasta with meat sauce | $10.35 |" } ] }, { "id": "16831", "image": "16831.png", "conversations": [ { "from": "human", "question": "In science class, Reba is measuring the temperature of different chemical mixtures. The temperatures of two mixtures are shown in the table. Which mixture's temperature is closest to zero?\n" }, { "from": "gpt", "solution": "A positive number means the temperature is above zero. A negative number means the temperature is below zero.\nTo find the temperature closest to zero, use absolute value. The absolute value of a temperature tells you how far it is from zero.\nBromine mixture: |-4| = 4\nAcetone mixture: |5| = 5\nThe temperature of the bromine mixture is closest to zero. It is only 4 degrees below zero.", "answer": "bromine mixture", "table": "| Mixture | Temperature (°C) |\n| --- | --- |\n| Bromine mixture | -4 |\n| Acetone mixture | 5 |" } ] }, { "id": "16833", "image": "16833.png", "conversations": [ { "from": "human", "question": "As part of a project for health class, Tracy surveyed local delis about the kinds of sandwiches sold. How many tuna sandwiches did Sam's Sandwich Shop sell?\n" }, { "from": "gpt", "solution": "First, find the row for Sam's Sandwich Shop. Then find the number in the Tuna sandwiches column.\n\nThis number is 17. Sam's Sandwich Shop sold 17 tuna sandwiches.", "answer": "17", "table": "**Sandwich sales**\n\n| Shop | Turkey sandwiches | Tuna sandwiches |\n| --- | --- | --- |\n| Sam's Sandwich Shop | 7 | 17 |\n| Express Sandwiches | 19 | 16 |\n| Joe's Diner | 16 | 5 |\n| Kelly's Subs | 15 | 20 |\n| City Cafe | 9 | 14 |" } ] }, { "id": "16834", "image": "16834.png", "conversations": [ { "from": "human", "question": "This morning, Mr. Blanchard released the scores from last week's spelling test. How many students scored at least 30 points?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 3, 4, 5, 6, 7, 8, and 9.\n\nYou counted 8 leaves, which are blue in the stem-and-leaf plot above. 8 students scored at least 30 points.", "answer": "8", "table": "**Spelling test scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 1, 9 |\n| 3 | 3, 4 |\n| 4 | 7 |\n| 5 | 5, 7 |\n| 6 | 1, 4 |\n| 7 | |\n| 8 | |\n| 9 | 0 |" } ] }, { "id": "16842", "image": "16842.png", "conversations": [ { "from": "human", "question": "Valentina went on a bird watching trip and jotted down the number of birds she saw each day. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n4, 7, 5, 5, 6, 7, 8\n\nFirst, count how many numbers are in the group.\n\nThere are 7 numbers.\n\nNow add all the numbers together:\n\n4 + 7 + 5 + 5 + 6 + 7 + 8 = 42\n\nNow divide the sum by the number of numbers:\n\n42 ÷ 7 = 6\n\nThe mean is 6.", "answer": "6", "table": "**Number of birds**\n\n| Day | Number of birds |\n| --- | --- |\n| Monday | 4 |\n| Tuesday | 7 |\n| Wednesday | 5 |\n| Thursday | 5 |\n| Friday | 6 |\n| Saturday | 7 |\n| Sunday | 8 |" } ] }, { "id": "16850", "image": "16850.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Judy is at the shopping district. If she wants to arrive at the baseball stadium at 1.30 P.M., what time should she get on the train?\n" }, { "from": "gpt", "solution": "Look at the row for the baseball stadium. Find the train that arrives at the baseball stadium at 1:30 P. M.\n\nLook up the column until you find the row for the shopping district.\n\nJudy should get on the train at 10:00 A. M.", "answer": "10:00 A.M.", "table": "**Subway train schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 |\n| --- | --- | --- | --- |\n| shopping district | 10:00 A.M. | 10:45 A.M. | 11:00 A.M. |\n| restaurant district | 11:00 A.M. | 11:45 A.M. | 12:00 P.M. |\n| football stadium | 12:00 P.M. | 12:45 P.M. | 1:00 P.M. |\n| city park | 12:30 P.M. | 1:15 P.M. | 1:30 P.M. |\n| baseball stadium | 1:30 P.M. | 2:15 P.M. | 2:30 P.M. |" } ] }, { "id": "16861", "image": "16861.png", "conversations": [ { "from": "human", "question": "The members of the track team compared how many miles they ran last week. Who ran the fewest miles?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 10.\n\nNow find the corresponding name. Louis corresponds to 10.", "answer": "Louis", "table": "**Running miles**\n\n| Name | Miles |\n| --- | --- |\n| Tony | 18 |\n| Dakota | 11 |\n| Heather | 13 |\n| Louis | 10 |" } ] }, { "id": "16864", "image": "16864.png", "conversations": [ { "from": "human", "question": "How much money does Luna need to buy baked ziti and a mushroom pizza?\n" }, { "from": "gpt", "solution": "Add the price of baked ziti and the price of a mushroom pizza:\n\n$12.33 + $13.09 = $25.42\n\nLuna needs $25.42.", "answer": "25.42", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| ravioli | $15.97 |\n| mushroom pizza | $13.09 |\n| baked ziti | $12.33 |\n| spaghetti and meatballs | $13.38 |" } ] }, { "id": "16875", "image": "16875.png", "conversations": [ { "from": "human", "question": "The owner of a plant nursery wrote down the number of roses on each bush. What is the largest number of roses?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 8.\n\nNow find the highest leaf in the last row. The highest leaf is 7.\n\nThe largest number of roses has a stem of 8 and a leaf of 7. Write the stem first, then the leaf: 87.\n\nThe largest number of roses is 87 roses.", "answer": "87", "table": "**Roses per bush**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 7, 9 |\n| 3 | 0, 4 |\n| 4 | 2, 2, 6 |\n| 5 | 4, 6, 9 |\n| 6 | 8, 8 |\n| 7 | 1, 2, 3 |\n| 8 | 7 |" } ] }, { "id": "16882", "image": "16882.png", "conversations": [ { "from": "human", "question": "A theme park developer recorded the number of people who visited the local water park last summer. How many people went to the water park exactly once last summer?\n" }, { "from": "gpt", "solution": "Find the row for 1 time and read the frequency. The frequency is 14.\n\n14 people went to the water park exactly once last summer.", "answer": "14", "table": "**Going to the water park last summer**\n\n| Number of trips | Frequency |\n| --- | --- |\n| 1 | 14 |\n| 2 | 8 |\n| 3 | 19 |\n| 4 | 18 |\n| 5 | 1 |" } ] }, { "id": "16885", "image": "16885.png", "conversations": [ { "from": "human", "question": "After a scavenger hunt, a team counted the number of pine cones found by each of its members. How many people found at least 2 pine cones?\n" }, { "from": "gpt", "solution": "Find the rows for 2, 3, and 4 pine cones. Add the frequencies for these rows.\n\nAdd:\n\n11 + 14 + 6 = 31\n\n31 people found at least 2 pine cones.", "answer": "31", "table": "**Finding pine cones**\n\n| Pine cones found | Frequency |\n| --- | --- |\n| 1 | 10 |\n| 2 | 11 |\n| 3 | 14 |\n| 4 | 6 |" } ] }, { "id": "16886", "image": "16886.png", "conversations": [ { "from": "human", "question": "Maureen went on a bird watching trip and jotted down the number of birds she saw each day. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n3, 2, 10, 2, 10, 2\n\nFirst, arrange the numbers from least to greatest:\n\n2, 2, 2, 3, 10, 10\n\nNow count how many times each number appears.\n\n2 appears 3 times.\n3 appears 1 time.\n10 appears 2 times.\n\nThe number that appears most often is 2.\n\nThe mode is 2.", "answer": "2", "table": "**Number of birds**\n\n| Day | Number of birds |\n| --- | --- |\n| Saturday | 3 |\n| Sunday | 2 |\n| Monday | 10 |\n| Tuesday | 2 |\n| Wednesday | 10 |\n| Thursday | 2 |" } ] }, { "id": "16888", "image": "16888.png", "conversations": [ { "from": "human", "question": "Tamir has $7.50. Does he have enough to buy a cookbook and a spatula?\n" }, { "from": "gpt", "solution": "Add the price of a cookbook and the price of a spatula:\n\n$2.62 + $4.69 = $7.31\n\n$7.31 is less than $7.50. Tamir does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| set of forks | $9.01 |\n| spatula | $4.69 |\n| small plate | $2.16 |\n| cookbook | $2.62 |\n| large plate | $3.94 |\n| cookie cutter | $1.53 |" } ] }, { "id": "16891", "image": "16891.png", "conversations": [ { "from": "human", "question": "A county agency recorded the money donated to several charitable causes over time. In May, which cause raised the least money?\n" }, { "from": "gpt", "solution": "Look at the numbers in the May column. Find the least number in this column.\n\nThe least number is $2.00, which is in the Hunger row. In May, the least money was raised for hunger.", "answer": "hunger", "table": "**Donations received**\n\n| Cause | April | May |\n| --- | --- | --- |\n| Hunger | $17 | $2 |\n| Parks | $17 | $4 |\n| Education | $12 | $7 |\n| Medical research | $18 | $9 |" } ] }, { "id": "16900", "image": "16900.png", "conversations": [ { "from": "human", "question": "Ernest designs bow ties for a local boutique store. The store manager counted the ties currently on display, tracking them by material and shape. What is the probability that a randomly selected bow tie is made of suede and is shaped like a butterfly? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the bow tie is made of suede\" and B be the event \"the bow tie is shaped like a butterfly\".\nTo find the probability that a bow tie is made of suede and is shaped like a butterfly, first identify the sample space and the event.\nThe outcomes in the sample space are the different bow ties. Each bow tie is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the bow tie is made of suede and is shaped like a butterfly\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the bow tie is made of suede and is shaped like a butterfly\", so look at the table to see how many bow ties are made of suede and are shaped like a butterfly.\nThe number of bow ties that are made of suede and are shaped like a butterfly is 4.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of bow ties.\n1 + 4 + 3 + 6 = 14\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{4}{14}\n = \\frac{2}{7}\nThe probability that a bow tie is made of suede and is shaped like a butterfly is \\frac{2}{7}.", "answer": "2/7", "table": "| | Butterfly | Batwing |\n| --- | --- | --- |\n| Cotton | 1 | 3 |\n| Suede | 4 | 6 |" } ] }, { "id": "16901", "image": "16901.png", "conversations": [ { "from": "human", "question": "For a math assignment, students noted the number of times a wheel landed on the numbers 0 through 5. Which number was spun the most times?\n" }, { "from": "gpt", "solution": "Look at the frequency column. Find the greatest frequency. The greatest frequency is 19, which is in the row for 1. 1 was spun the most times.", "answer": "1", "table": "**Spinning a wheel numbered 0 through 5**\n\n| Number spun | Frequency |\n| --- | --- |\n| 0 | 17 |\n| 1 | 19 |\n| 2 | 7 |\n| 3 | 0 |\n| 4 | 10 |\n| 5 | 3 |" } ] }, { "id": "16903", "image": "16903.png", "conversations": [ { "from": "human", "question": "As part of a statistics project, a math class weighed all the children who were willing to participate. What is the weight of the lightest child?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 1.\n\nNow find the lowest leaf in the first row. The lowest leaf is 0.\n\nThe weight of the lightest child has a stem of 1 and a leaf of 0. Write the stem first, then the leaf: 10.\n\nThe weight of the lightest child is 10 pounds.", "answer": "10", "table": "**Children's weights (lbs)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 5, 9 |\n| 2 | 2, 9, 9, 9 |\n| 3 | 2, 3, 9 |\n| 4 | 2, 2, 6 |" } ] }, { "id": "16904", "image": "16904.png", "conversations": [ { "from": "human", "question": "To better understand library usage patterns, a librarian figured out how many books were checked out by some patrons last year. How many patrons checked out exactly 1 book from the library?\n" }, { "from": "gpt", "solution": "Find the row for 1 book and read the frequency. The frequency is 2.\n\n2 patrons checked out exactly1 book.", "answer": "2", "table": "**Checking out books from the library**\n\n| Books checked out | Frequency |\n| --- | --- |\n| 1 | 2 |\n| 2 | 13 |\n| 3 | 12 |\n| 4 | 7 |\n| 5 | 0 |\n| 6 | 15 |" } ] }, { "id": "16906", "image": "16906.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{9 - 2}{5 - 4}\n = \\frac{7}{1}\n = 7\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{14 - 2}{6 - 4}\n = \\frac{12}{2}\n = 6\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 4 | 2 |\n| 5 | 9 |\n| 6 | 14 |" } ] }, { "id": "16911", "image": "16911.png", "conversations": [ { "from": "human", "question": "This morning, Mr. Beck released the scores from last week's spelling test. How many students scored exactly 84 points?\n" }, { "from": "gpt", "solution": "For the number 84, the stem is 8, and the leaf is 4. Find the row where the stem is 8. In that row, count all the leaves equal to 4.\n\nYou counted 0 leaves. 0 students scored exactly 84 points.", "answer": "0", "table": "**Spelling test scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 2, 5, 7, 8 |\n| 3 | 0, 0, 2, 2, 3, 4, 8 |\n| 4 | 2, 6, 7, 8 |\n| 5 | |\n| 6 | 1, 5, 7 |\n| 7 | 4, 6, 9 |\n| 8 | 3, 5 |" } ] }, { "id": "16918", "image": "16918.png", "conversations": [ { "from": "human", "question": "How much money does Jonathan need to buy a soccer ticket and a play ticket?\n" }, { "from": "gpt", "solution": "Add the price of a soccer ticket and the price of a play ticket:\n\n$39 + $32 = $71\n\nJonathan needs $71.", "answer": "71", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| soccer ticket | $39 |\n| boat show ticket | $17 |\n| basketball ticket | $51 |\n| play ticket | $32 |" } ] }, { "id": "16921", "image": "16921.png", "conversations": [ { "from": "human", "question": "A stock broker followed the stock prices of a certain set of companies. Which company's stock cost less on Tuesday, Houston Sporting Goods or Watson and Partners?\n" }, { "from": "gpt", "solution": "Find the Tuesday column. Compare the numbers in this column for Houston Sporting Goods and Watson and Partners.\n\n$8.00 is less than $10.00. On Tuesday, Watson and Partners's stock cost less.", "answer": "Watson and Partners", "table": "**Stock prices**\n\n| Company | Monday | Tuesday |\n| --- | --- | --- |\n| White and Company | $17 | $5 |\n| Watson and Partners | $9 | $8 |\n| Thompson Corporation | $7 | $7 |\n| Jonas Incorporated | $11 | $14 |\n| Houston Sporting Goods | $10 | $10 |" } ] }, { "id": "16927", "image": "16927.png", "conversations": [ { "from": "human", "question": "Hammond has a collection of marbles of different sizes and colors. What is the probability that a randomly selected marble is green and small? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the marble is green\" and B be the event \"the marble is small\".\nTo find the probability that a marble is green and small, first identify the sample space and the event.\nThe outcomes in the sample space are the different marbles. Each marble is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the marble is green and small\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the marble is green and small\", so look at the table to see how many marbles are green and small.\nThe number of marbles that are green and small is 5.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of marbles.\n2 + 4 + 5 + 5 = 16\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{5}{16}\nThe probability that a marble is green and small is \\frac{5}{16}.", "answer": "5/16", "table": "| | Big | Small |\n| --- | --- | --- |\n| Red | 2 | 5 |\n| Green | 4 | 5 |" } ] }, { "id": "16930", "image": "16930.png", "conversations": [ { "from": "human", "question": "How much money does Marie need to buy a CD player and 5 alarm clocks?\n" }, { "from": "gpt", "solution": "Find the cost of 5 alarm clocks.\n\n$29.00 × 5 = $145.00\n\nNow find the total cost.\n\n$26.00 + $145.00 = $171.00\n\nMarie needs $171.00.", "answer": "171", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| television | $64.00 |\n| CD player | $26.00 |\n| alarm clock | $29.00 |\n| camera | $38.00 |\n| CD | $11.00 |\n| DVD player | $63.00 |" } ] }, { "id": "16937", "image": "16937.png", "conversations": [ { "from": "human", "question": "How much money does Pablo need to buy a chocolate-chip cookie, a grilled cheese sandwich, and a bag of potato chips?\n" }, { "from": "gpt", "solution": "Find the total cost of a chocolate-chip cookie, a grilled cheese sandwich, and a bag of potato chips.\n\n$1.16 + $2.49 + $1.08 = $4.73\n\nPablo needs $4.73.", "answer": "4.73", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| bag of peanuts | $1.47 |\n| bottle of water | $1.28 |\n| chocolate-chip cookie | $1.16 |\n| bag of potato chips | $1.08 |\n| grilled cheese sandwich | $2.49 |\n| cup of coffee | $1.83 |" } ] }, { "id": "16938", "image": "16938.png", "conversations": [ { "from": "human", "question": "Wanda counted the number of pairs of shoes for sale at each of the shoe stores in the mall. How many stores have at least 42 pairs of shoes but fewer than 92 pairs of shoes?\n" }, { "from": "gpt", "solution": "Find the row with stem 4. Count all the leaves greater than or equal to 2.\n\nCount all the leaves in the rows with stems 5, 6, 7, and 8.\n\nIn the row with stem 9, count all the leaves less than 2.\n\nYou counted 5 leaves, which are blue in the stem-and-leaf plots above. 5 stores have at least 42 pairs of shoes but fewer than 92 pairs of shoes.", "answer": "5", "table": "**Pairs of shoes per store**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 9 |\n| 4 | 3, 4 |\n| 5 | |\n| 6 | 1, 8 |\n| 7 | |\n| 8 | |\n| 9 | 0 |" } ] }, { "id": "16941", "image": "16941.png", "conversations": [ { "from": "human", "question": "How much money does Brittany need to buy a bearded dragon and a rabbit?\n" }, { "from": "gpt", "solution": "Add the price of a bearded dragon and the price of a rabbit:\n\n$274 + $118 = $392\n\nBrittany needs $392.", "answer": "392", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| king snake | $298 |\n| finch | $143 |\n| bearded dragon | $274 |\n| rabbit | $118 |\n| iguana | $189 |" } ] }, { "id": "16943", "image": "16943.png", "conversations": [ { "from": "human", "question": "A business magazine surveyed its readers about their commute times. How many commutes are at least 10 minutes but less than 40 minutes?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1, 2, and 3.\n\nYou counted 15 leaves, which are blue in the stem-and-leaf plot above. 15 commutes are at least 10 minutes but less than 40 minutes.", "answer": "15", "table": "**Commute time (minutes)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 3, 3, 4 |\n| 2 | 0, 1, 3, 5, 6, 7, 8, 8 |\n| 3 | 2, 4, 6, 8 |\n| 4 | 0, 0, 1, 7, 8, 9 |" } ] }, { "id": "16944", "image": "16944.png", "conversations": [ { "from": "human", "question": "A farm equipment company kept a record of the number of tractors made each month. How many more tractors did the company make in March than in February?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nMarch: 553\nFebruary: 205\n\nNow subtract: 553 - 205 = 348.\n\nThe company made 348 more tractors in March.", "answer": "348", "table": "**Tractors made**\n\n| Month | Number of tractors |\n| --- | --- |\n| February | 205 |\n| March | 553 |\n| April | 738 |\n| May | 398 |\n| June | 852 |" } ] }, { "id": "16945", "image": "16945.png", "conversations": [ { "from": "human", "question": "In preparation for graduation, some teachers and students volunteered for the various graduation committees. How many students are on the food committee?\n" }, { "from": "gpt", "solution": "First, find the row for food. Then find the number in the Students column.\n\nThis number is 15. 15 students are on the food committee.", "answer": "15", "table": "**Graduation committees**\n\n| Committee | Teachers | Students |\n| --- | --- | --- |\n| Speech | 20 | 1 |\n| Food | 7 | 15 |\n| Music | 14 | 3 |\n| Ticket | 15 | 7 |\n| Schedule | 10 | 8 |" } ] }, { "id": "16947", "image": "16947.png", "conversations": [ { "from": "human", "question": "Some pizza restaurants compared their pizza sales. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n77, 77, 78, 77, 77, 78, 76, 76\n\nFirst, arrange the numbers from least to greatest:\n\n76, 76, 77, 77, 77, 77, 78, 78\n\nNow count how many times each number appears.\n\n76 appears 2 times.\n77 appears 4 times.\n78 appears 2 times.\n\nThe number that appears most often is 77.\n\nThe mode is 77.", "answer": "77", "table": "**Pizza slices sold**\n\n| Restaurant | Number of slices sold |\n| --- | --- |\n| Pizzas Only | 77 |\n| The Real Chicago | 77 |\n| Pizza Italia | 78 |\n| Taste of New York | 77 |\n| The Big Cheese | 77 |\n| New York Slice | 78 |\n| Pizza, Pasta and More | 76 |\n| Pizzeria Italiano | 76 |" } ] }, { "id": "16956", "image": "16956.png", "conversations": [ { "from": "human", "question": "Tara has $43. Does she have enough to buy a pair of sandals and a winter jacket?\n" }, { "from": "gpt", "solution": "Add the price of a pair of sandals and the price of a winter jacket:\n\n$19 + $22 = $41\n\n$41 is less than $43. Tara does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| yellow skirt | $12 |\n| pair of sandals | $19 |\n| gray sweatshirt | $11 |\n| winter jacket | $22 |\n| pair of jeans | $35 |" } ] }, { "id": "16983", "image": "16983.png", "conversations": [ { "from": "human", "question": "A business magazine surveyed its readers about their commute times. How many commutes are less than 51 minutes?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 3 and 4.\n\nIn the row with stem 5, count all the leaves less than 1.\n\nYou counted 6 leaves, which are blue in the stem-and-leaf plots above. 6 commutes are less than 51 minutes.", "answer": "6", "table": "**Commute time (minutes)**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 0, 8 |\n| 4 | 1, 4, 4 |\n| 5 | 0, 1, 2, 7, 7 |\n| 6 | 2, 5, 7, 9, 9 |" } ] }, { "id": "16984", "image": "16984.png", "conversations": [ { "from": "human", "question": "Kenneth wants to buy 1.5 pounds of sunflower seeds. How much will he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the sunflower seeds. Multiply the price per pound by the number of pounds.\n$4 × 1.5 = $6\nHe will spend $6.", "answer": "6", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| sunflower seeds | $4 per pound |\n| soybeans | $3 per pound |\n| sesame seeds | $8 per pound |\n| pumpkin seeds | $3 per pound |\n| flax seeds | $4 per pound |" } ] }, { "id": "16990", "image": "16990.png", "conversations": [ { "from": "human", "question": "Clara went on a camping trip and logged the number of miles she hiked each day. On which day did Clara hike the fewest miles?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 10.\n\nNow find the corresponding day. Friday corresponds to 10.", "answer": "Friday", "table": "**Miles hiked**\n\n| Day | Number of miles |\n| --- | --- |\n| Friday | 10 |\n| Saturday | 19 |\n| Sunday | 18 |\n| Monday | 12 |" } ] }, { "id": "16994", "image": "16994.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $845, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $845, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $815 | 12,400 | 7,100 |\n| $825 | 9,800 | 8,200 |\n| $835 | 7,200 | 9,300 |\n| $845 | 4,600 | 10,400 |\n| $855 | 2,000 | 11,500 |" } ] }, { "id": "16996", "image": "16996.png", "conversations": [ { "from": "human", "question": "How much money does Maya need to buy a lemon drop and a piece of licorice?\n" }, { "from": "gpt", "solution": "Add the price of a lemon drop and the price of a piece of licorice:\n\n$0.05 + $0.02 = $0.07\n\nMaya needs $0.07.", "answer": "0.07", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| peppermint candy | $0.06 |\n| piece of licorice | $0.02 |\n| gum drop | $0.04 |\n| lemon drop | $0.05 |\n| sour apple candy | $0.06 |\n| gummy worm | $0.05 |" } ] }, { "id": "17005", "image": "17005.png", "conversations": [ { "from": "human", "question": "At a candy factory, butterscotch candies were packaged into bags of different sizes. How many bags had at least 29 butterscotch candies but fewer than 77 butterscotch candies?\n" }, { "from": "gpt", "solution": "Find the row with stem 2. Count all the leaves greater than or equal to 9.\n\nCount all the leaves in the rows with stems 3, 4, 5, and 6.\n\nIn the row with stem 7, count all the leaves less than 7.\n\nYou counted 16 leaves, which are blue in the stem-and-leaf plots above. 16 bags had at least 29 butterscotch candies but fewer than 77 butterscotch candies.", "answer": "16", "table": "**Butterscotch candies per bag**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 0, 8 |\n| 3 | 5 |\n| 4 | 2, 2, 3, 4, 5, 9, 9 |\n| 5 | 5, 6 |\n| 6 | 1, 3, 5, 8, 9 |\n| 7 | 2 |" } ] }, { "id": "17008", "image": "17008.png", "conversations": [ { "from": "human", "question": "A shipping company keeps track of the number of boxes in each shipment they send out. How many shipments had exactly 25 boxes?\n" }, { "from": "gpt", "solution": "For the number 25, the stem is 2, and the leaf is 5. Find the row where the stem is 2. In that row, count all the leaves equal to 5.\n\nYou counted 1 leaf, which is blue in the stem-and-leaf plot above. 1 shipment had exactly25 boxes.", "answer": "1", "table": "**Boxes per shipment**\n\n| Stem | Leaf |\n| --- | --- |\n| 0 | 5 |\n| 1 | |\n| 2 | 2, 3, 4, 5 |\n| 3 | 4 |" } ] }, { "id": "17013", "image": "17013.png", "conversations": [ { "from": "human", "question": "How much more does a night's stay at Mahogany Lodge cost than a night's stay at Summit Hotel and Spa?\n" }, { "from": "gpt", "solution": "Subtract the price of a night's stay at Summit Hotel and Spa from the price of a night's stay at Mahogany Lodge.\n\n$293.00 - $116.00 = $177.00\n\nA night's stay at Mahogany Lodge costs $177.00 more than a night's stay at Summit Hotel and Spa.", "answer": "177", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| night's stay at Bay Breeze Resort | $351.00 |\n| night's stay at Golden Peak Hotel | $498.00 |\n| night's stay at Summit Hotel and Spa | $116.00 |\n| night's stay at Mahogany Lodge | $293.00 |\n| night's stay at White Oak Motel | $402.00 |" } ] }, { "id": "17014", "image": "17014.png", "conversations": [ { "from": "human", "question": "Some friends compared the sizes of their stuffed animal collections. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 7, 7, 10, 8, 7\n\nFirst, count how many numbers are in the group.\n\nThere are 6 numbers.\n\nNow add all the numbers together:\n\n9 + 7 + 7 + 10 + 8 + 7 = 48\n\nNow divide the sum by the number of numbers:\n\n48 ÷ 6 = 8\n\nThe mean is 8.", "answer": "8", "table": "**Stuffed animal collections**\n\n| Name | Number of stuffed animals |\n| --- | --- |\n| Terrence | 9 |\n| Brian | 7 |\n| Zeke | 7 |\n| Derek | 10 |\n| Ann | 8 |\n| Preston | 7 |" } ] }, { "id": "17015", "image": "17015.png", "conversations": [ { "from": "human", "question": "Each dish has 2 strawberries. How many strawberries are in 5 dishes?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 10 strawberries in 5 dishes.", "answer": "10", "table": "| Number of dishes | Number of strawberries |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | 6 |\n| 4 | 8 |\n| 5 | ? |" } ] }, { "id": "17026", "image": "17026.png", "conversations": [ { "from": "human", "question": "Dominic measured the length of each scarf in the clothing store where he works. How many scarves are at least 60 centimeters but less than 100 centimeters?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 6, 7, 8, and 9.\n\nYou counted 14 leaves, which are blue in the stem-and-leaf plot above. 14 scarves are at least 60 centimeters but less than 100 centimeters.", "answer": "14", "table": "**Scarf lengths (centimeters)**\n\n| Stem | Leaf |\n| --- | --- |\n| 6 | 9 |\n| 7 | 1, 3, 5, 5, 6, 9 |\n| 8 | 1, 4, 5, 5, 6, 9 |\n| 9 | 0 |" } ] }, { "id": "17030", "image": "17030.png", "conversations": [ { "from": "human", "question": "Gabrielle purchased 2 pounds of blueberries, 1 pound of raspberries, and 5 pounds of loganberries. What was the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the blueberries. Multiply:\n\n$2.35 × 2 = $4.70\n\nFind the cost of the raspberries. Multiply:\n\n$2.08 × 1 = $2.08\n\nFind the cost of the loganberries. Multiply:\n\n$5.88 × 5 = $29.40\n\nNow find the total cost by adding:\n\n$4.70 + $2.08 + $29.40 = $36.18\n\nThe total cost was $36.18.", "answer": "36.18", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| loganberries | $5.88 per lb |\n| blueberries | $2.35 per lb |\n| strawberries | $4.04 per lb |\n| raspberries | $2.08 per lb |" } ] }, { "id": "17038", "image": "17038.png", "conversations": [ { "from": "human", "question": "A technical support line tracked how many calls it received each day. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n66, 67, 60, 61, 58\n\nFirst, find the greatest number. The greatest number is 67.\n\nNext, find the least number. The least number is 58.\n\nSubtract the least number from the greatest number:\n\n67 − 58 = 9\n\nThe range is 9.", "answer": "9", "table": "**Phone calls received**\n\n| Day | Number of calls |\n| --- | --- |\n| Monday | 66 |\n| Tuesday | 67 |\n| Wednesday | 60 |\n| Thursday | 61 |\n| Friday | 58 |" } ] }, { "id": "17041", "image": "17041.png", "conversations": [ { "from": "human", "question": "During a lesson on graphing data, students in Mrs. Levi's math class guessed a number between 1 and 5 and recorded the results. Which number was guessed the fewest times?\n" }, { "from": "gpt", "solution": "Look at the frequency column. Find the least frequency. The least frequency is 2, which is in the row for 4. 4 was guessed the fewest times.", "answer": "4", "table": "**Guessing a number between 1 and 5**\n\n| Number guessed | Frequency |\n| --- | --- |\n| 1 | 9 |\n| 2 | 3 |\n| 3 | 12 |\n| 4 | 2 |\n| 5 | 4 |" } ] }, { "id": "17043", "image": "17043.png", "conversations": [ { "from": "human", "question": "Chloe has $37.00. Does she have enough to buy a boat show ticket and a ballet ticket?\n" }, { "from": "gpt", "solution": "Add the price of a boat show ticket and the price of a ballet ticket:\n\n$11.00 + $25.00 = $36.00\n\n$36.00 is less than $37.00. Chloe does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| boat show ticket | $11.00 |\n| play ticket | $35.00 |\n| figure skating ticket | $39.00 |\n| airplane show ticket | $22.00 |\n| ballet ticket | $25.00 |\n| concert ticket | $87.00 |" } ] }, { "id": "17046", "image": "17046.png", "conversations": [ { "from": "human", "question": "At Charlie's birthday party, children and parents celebrated by participating in some activities. How many more children than parents are playing tag?\n" }, { "from": "gpt", "solution": "Find the Playing tag row. Find the numbers in this row for children and parents.\n\nchildren: 10\nparents: 5\n\nNow subtract:\n\n10 − 5 = 5\n\n5 more children than parents are playing tag.", "answer": "5", "table": "**Birthday party**\n\n| Activity | Children | Parents |\n| --- | --- | --- |\n| Playing tag | 10 | 5 |\n| Singing | 20 | 10 |\n| Eating cake | 20 | 10 |" } ] }, { "id": "17049", "image": "17049.png", "conversations": [ { "from": "human", "question": "Miss Cho ran a sit-up competition among her P.E. students and monitored how many sit-ups each students could do. How many people did fewer than 40 sit-ups?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1, 2, and 3.\n\nYou counted 11 leaves, which are blue in the stem-and-leaf plot above. 11 people did fewer than 40 sit-ups.", "answer": "11", "table": "**Sit-up competition (number of sit-ups)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1, 3, 5, 9 |\n| 2 | 0, 0, 1, 5, 5, 7 |\n| 3 | 8 |\n| 4 | 3, 3 |\n| 5 | 0, 3, 7, 9 |\n| 6 | 4 |\n| 7 | 4 |" } ] }, { "id": "17053", "image": "17053.png", "conversations": [ { "from": "human", "question": "A drawing class was assigned a final project where students had to choose one art medium and one subject. The teacher kept track of the types of projects submitted. What is the probability that a randomly selected student chose to draw a plant and used acrylic paint? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the student chose to draw a plant\" and B be the event \"the student used acrylic paint\".\nTo find the probability that a student chose to draw a plant and used acrylic paint, first identify the sample space and the event.\nThe outcomes in the sample space are the different students. Each student is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the student chose to draw a plant and used acrylic paint\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the student chose to draw a plant and used acrylic paint\", so look at the table to see how many students chose to draw a plant and used acrylic paint.\nThe number of students who chose to draw a plant and used acrylic paint is 5.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of students.\n5 + 4 + 5 + 4 = 18\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{5}{18}\nThe probability that a student chose to draw a plant and used acrylic paint is \\frac{5}{18}.", "answer": "5/18", "table": "| | Acrylic paint | Chalk |\n| --- | --- | --- |\n| A plant | 5 | 5 |\n| An insect | 4 | 4 |" } ] }, { "id": "17054", "image": "17054.png", "conversations": [ { "from": "human", "question": "Every year Seaside has a citywide relay and reports the winning times. According to the table, what was the rate of change between 2016 and 2017?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{42 minutes - 39 minutes}{2017 - 2016}\n = \\frac{42 minutes - 39 minutes}{1 year}\n = \\frac{3 minutes}{1 year}\n = 3 minutes per year\nThe rate of change between 2016 and 2017 was 3 minutes per year.", "answer": "3", "table": "**Winning relay times**\n\n| Year | Winning time (minutes) |\n| --- | --- |\n| 2015 | 26 |\n| 2016 | 39 |\n| 2017 | 42 |\n| 2018 | 40 |\n| 2019 | 28 |" } ] }, { "id": "17067", "image": "17067.png", "conversations": [ { "from": "human", "question": "Preston has $18,823.00. How much money will Preston have left if he buys a yellow sports car and a blue two-door coupe?\n" }, { "from": "gpt", "solution": "Find the total cost of a yellow sports car and a blue two-door coupe.\n\n$7,197.00 + $9,836.00 = $17,033.00\n\nNow subtract the total cost from the starting amount.\n\n$18,823.00 - $17,033.00 = $1,790.00\n\nPreston will have $1,790.00 left.", "answer": "1,790", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| green station wagon | $5,264.00 |\n| green jeep | $8,366.00 |\n| yellow sports car | $7,197.00 |\n| blue two-door coupe | $9,836.00 |" } ] }, { "id": "17073", "image": "17073.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Jen got on the bus at the aquarium at 10.30 A.M. What time will she get to the governor's mansion?\n" }, { "from": "gpt", "solution": "Find 10:30 A. M. in the row for the aquarium. That column shows the schedule for the bus that Jen is on.\n\nLook down the column until you find the row for the governor's mansion.\n\nJen will get to the governor's mansion at 1:30 P. M.", "answer": "1:30 P.M.", "table": "**Tour bus schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 | Column 5 |\n| --- | --- | --- | --- | --- |\n| the aquarium | 10:00 A.M. | 10:15 A.M. | 10:30 A.M. | 10:45 A.M. |\n| skyscraper | 11:00 A.M. | 11:15 A.M. | 11:30 A.M. | 11:45 A.M. |\n| art museum | 12:00 P.M. | 12:15 P.M. | 12:30 P.M. | 12:45 P.M. |\n| governor's mansion | 1:00 P.M. | 1:15 P.M. | 1:30 P.M. | 1:45 P.M. |" } ] }, { "id": "17074", "image": "17074.png", "conversations": [ { "from": "human", "question": "Professor Armstrong released the results of yesterday's pop quiz. How many students scored at least 40 points but fewer than 60 points?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 4 and 5.\n\nYou counted 5 leaves, which are blue in the stem-and-leaf plot above. 5 students scored at least 40 points but fewer than 60 points.", "answer": "5", "table": "**Pop quiz scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 5, 7, 9 |\n| 3 | 0, 3, 6, 7 |\n| 4 | 2, 4, 7, 8 |\n| 5 | 5 |\n| 6 | 2, 8 |\n| 7 | 0, 2, 3, 5, 5 |" } ] }, { "id": "17075", "image": "17075.png", "conversations": [ { "from": "human", "question": "How much money does Liz need to buy 2 waffle makers?\n" }, { "from": "gpt", "solution": "Find the total cost of 2 waffle makers by multiplying 2 times the price of a waffle maker.\n\n$39.78 × 2 = $79.56\n\nLiz needs $79.56.", "answer": "79.56", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| DVD | $11.88 |\n| cell phone | $56.95 |\n| toaster | $35.35 |\n| waffle maker | $39.78 |\n| camera | $43.32 |\n| radio | $21.40 |" } ] }, { "id": "17078", "image": "17078.png", "conversations": [ { "from": "human", "question": "Amanda's Crafts is interested in offering a scarf knitting class, so the store considers how many scarves people already own. How many people are there in all?\n" }, { "from": "gpt", "solution": "Add the frequencies for each row.\n\nAdd:\n\n6 + 16 + 18 + 5 + 17 + 13 = 75\n\nThere are 75 people in all.", "answer": "75", "table": "**Scarves**\n\n| Number of scarves | Frequency |\n| --- | --- |\n| 0 | 6 |\n| 1 | 16 |\n| 2 | 18 |\n| 3 | 5 |\n| 4 | 17 |\n| 5 | 13 |" } ] }, { "id": "17084", "image": "17084.png", "conversations": [ { "from": "human", "question": "Edmond, an employee at Garza's Convenience Store, looked at the sales of each of its soda products. On Friday, which beverage had the lowest sales?\n" }, { "from": "gpt", "solution": "Look at the numbers in the Friday column. Find the least number in this column.\n\nThe least number is $5.00, which is in the Nature's Nectar row. On Friday, Nature's Nectar had the lowest sales.", "answer": "Nature's Nectar", "table": "**Convenience store beverage sales**\n\n| Beverage | Friday | Saturday |\n| --- | --- | --- |\n| Natural Goodness Juice | $18 | $4 |\n| Krazy Kola | $14 | $15 |\n| Sweet Sips | $20 | $3 |\n| Nature's Nectar | $5 | $18 |" } ] }, { "id": "17089", "image": "17089.png", "conversations": [ { "from": "human", "question": "Mateo, a soup chef at a new restaurant, kept track of the first week's soup sales. What is the probability that a randomly selected soup was ordered in a bowl and was split pea? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the soup was ordered in a bowl\" and B be the event \"the soup was split pea\".\nTo find the probability that a soup was ordered in a bowl and was split pea, first identify the sample space and the event.\nThe outcomes in the sample space are the different soups. Each soup is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the soup was ordered in a bowl and was split pea\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the soup was ordered in a bowl and was split pea\", so look at the table to see how many soups were ordered in a bowl and were split pea.\nThe number of soups that were ordered in a bowl and were split pea is 2.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of soups.\n4 + 2 + 4 + 2 = 12\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{2}{12}\n = \\frac{1}{6}\nThe probability that a soup was ordered in a bowl and was split pea is \\frac{1}{6}.", "answer": "1/6", "table": "| | Split pea | Chicken noodle |\n| --- | --- | --- |\n| Cup | 4 | 4 |\n| Bowl | 2 | 2 |" } ] }, { "id": "17090", "image": "17090.png", "conversations": [ { "from": "human", "question": "Wayne wants to buy 2+9/10 pounds of apple muffin mix. How much will he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the apple muffin mix. Multiply the price per pound by the number of pounds.\n$1 × 2\\frac{9}{10} = $1 × 2.9 = $2.90\nHe will spend $2.90.", "answer": "2.90", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| apple muffin mix | $1 per pound |\n| bran muffin mix | $1 per pound |\n| blueberry muffin mix | $1 per pound |\n| cranberry muffin mix | $2 per pound |" } ] }, { "id": "17097", "image": "17097.png", "conversations": [ { "from": "human", "question": "Ms. Cline reported her students' scores on the most recent quiz. How many students scored fewer than 80 points?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 4, 5, 6, and 7.\n\nYou counted 23 leaves, which are blue in the stem-and-leaf plot above. 23 students scored fewer than 80 points.", "answer": "23", "table": "**Quiz scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 0, 3, 3, 4, 4, 5, 5 |\n| 5 | 0, 0, 1, 2, 5, 5, 7, 8 |\n| 6 | 3, 4 |\n| 7 | 2, 3, 3, 4, 5, 9 |" } ] }, { "id": "17101", "image": "17101.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does the train depart from the university?\n" }, { "from": "gpt", "solution": "Find the university on the schedule. Find the departure time for the university.\n\nuniversity: 9:30 A. M.", "answer": "9:30 A.M.", "table": "**Subway train schedule**\n\n| Location | Time |\n| --- | --- |\n| city park | 9:20 A.M. |\n| university | 9:30 A.M. |\n| football stadium | 10:20 A.M. |\n| industrial district | 10:25 A.M. |\n| downtown | 10:40 A.M. |\n| art gallery district | 11:30 A.M. |\n| shopping district | 12:05 P.M. |\n| history museum | 12:25 P.M. |\n| restaurant district | 12:55 P.M. |\n| waterfront | 1:40 P.M. |" } ] }, { "id": "17103", "image": "17103.png", "conversations": [ { "from": "human", "question": "Mr. Christensen, a track coach, recorded the sizes of all the nearby track teams. How many teams have fewer than 50 members?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 2, 3, and 4.\n\nYou counted 12 leaves, which are blue in the stem-and-leaf plot above. 12 teams have fewer than 50 members.", "answer": "12", "table": "**Track team sizes (number of members)**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 2, 4, 4 |\n| 3 | 3, 4, 8, 9 |\n| 4 | 0, 1, 4, 5, 6 |\n| 5 | 1, 3, 4, 4, 5, 5, 6, 6 |" } ] }, { "id": "17107", "image": "17107.png", "conversations": [ { "from": "human", "question": "A business analyst compared purchases of different types of cereal. Which cereal had the most boxes purchased?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 679.\n\nNow find the corresponding cereal. Krispee Bites corresponds to 679.", "answer": "Krispee Bites", "table": "**Boxes of cereal purchased**\n\n| Cereal | Number of boxes purchased |\n| --- | --- |\n| Vanilla Honey Clusters | 617 |\n| Fruit-E-Ohs | 667 |\n| Caramel Deelish | 616 |\n| Krispee Bites | 679 |" } ] }, { "id": "17115", "image": "17115.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $155, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $155, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $155 | 6,100 | 9,500 |\n| $195 | 5,300 | 11,300 |\n| $235 | 4,500 | 13,100 |\n| $275 | 3,700 | 14,900 |\n| $315 | 2,900 | 16,700 |" } ] }, { "id": "17116", "image": "17116.png", "conversations": [ { "from": "human", "question": "How much money does Lester need to buy 8 chocolate cheesecakes?\n" }, { "from": "gpt", "solution": "Find the total cost of 8 chocolate cheesecakes by multiplying 8 times the price of a chocolate cheesecake.\n\n$8.85 × 8 = $70.80\n\nLester needs $70.80.", "answer": "70.80", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pecan pie | $6.38 |\n| pumpkin pie | $9.74 |\n| chocolate cheesecake | $8.85 |\n| almond tart | $9.79 |" } ] }, { "id": "17118", "image": "17118.png", "conversations": [ { "from": "human", "question": "Maddie is a pediatrics nurse who conducts the first neonatal exam on newborn patients. She makes note of the newborns' height, weight, eye color, and heart rate, among other things. What is the probability that a randomly selected baby has a fast heart rate (>100 bpm) and has brown eyes? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the baby has a fast heart rate (>100 bpm)\" and B be the event \"the baby has brown eyes\".\nTo find the probability that a baby has a fast heart rate (>100 bpm) and has brown eyes, first identify the sample space and the event.\nThe outcomes in the sample space are the different babies. Each baby is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the baby has a fast heart rate (>100 bpm) and has brown eyes\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the baby has a fast heart rate (>100 bpm) and has brown eyes\", so look at the table to see how many babies have a fast heart rate (>100 bpm) and have brown eyes.\nThe number of babies who have a fast heart rate (>100 bpm) and have brown eyes is 1.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of babies.\n5 + 1 + 5 + 3 = 14\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{1}{14}\nThe probability that a baby has a fast heart rate (>100 bpm) and has brown eyes is \\frac{1}{14}.", "answer": "1/14", "table": "| | Brown eyes | Blue eyes |\n| --- | --- | --- |\n| Slow heart rate (<100 bpm) | 5 | 5 |\n| Fast heart rate (>100 bpm) | 1 | 3 |" } ] }, { "id": "17137", "image": "17137.png", "conversations": [ { "from": "human", "question": "The town council reported on how many stop signs there are on each street. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 8, 8, 2, 7, 2, 5, 6\n\nFirst, find the greatest number. The greatest number is 9.\n\nNext, find the least number. The least number is 2.\n\nSubtract the least number from the greatest number:\n\n9 − 2 = 7\n\nThe range is 7.", "answer": "7", "table": "**Stop signs**\n\n| Street | Number of stop signs |\n| --- | --- |\n| Irving Street | 9 |\n| Walker Street | 8 |\n| Spring Street | 8 |\n| Jackson Street | 2 |\n| Peabody Street | 7 |\n| Watson Street | 2 |\n| Marshall Street | 5 |\n| Mason Street | 6 |" } ] }, { "id": "17140", "image": "17140.png", "conversations": [ { "from": "human", "question": "The bird-watching club recorded how many birds its members saw each month. In which month did the club see the most birds?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 152.\n\nNow find the corresponding month. December corresponds to 152.", "answer": "December", "table": "**Number of birds seen**\n\n| Month | Number of birds |\n| --- | --- |\n| October | 125 |\n| November | 115 |\n| December | 152 |\n| January | 121 |" } ] }, { "id": "17147", "image": "17147.png", "conversations": [ { "from": "human", "question": "How much money does Erin need to buy a chocolate-chip cookie, a cup of milk, and a bottle of water?\n" }, { "from": "gpt", "solution": "Find the total cost of a chocolate-chip cookie, a cup of milk, and a bottle of water.\n\n$0.89 + $0.80 + $0.85 = $2.54\n\nErin needs $2.54.", "answer": "2.54", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| cup of milk | $0.80 |\n| muffin | $0.77 |\n| chocolate-chip cookie | $0.89 |\n| cup of orange juice | $0.86 |\n| bottle of water | $0.85 |" } ] }, { "id": "17151", "image": "17151.png", "conversations": [ { "from": "human", "question": "Fernando counted the number of ducks at each pond in the city. How many ponds had fewer than 50 ducks?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 2, 3, and 4.\n\nYou counted 13 leaves, which are blue in the stem-and-leaf plot above. 13 ponds had fewer than 50 ducks.", "answer": "13", "table": "**Ducks per pond**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 0, 1, 4, 6 |\n| 3 | 1, 3, 4, 4, 4 |\n| 4 | 1, 2, 3, 5 |\n| 5 | 0, 3, 7 |\n| 6 | 0, 6 |\n| 7 | 1, 9, 9 |\n| 8 | 0, 5 |" } ] }, { "id": "17158", "image": "17158.png", "conversations": [ { "from": "human", "question": "Miss Farrell ran a sit-up competition among her P.E. students and monitored how many sit-ups each students could do. What is the smallest number of sit-ups done?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 3.\n\nNow find the lowest leaf in the first row. The lowest leaf is 5.\n\nThe smallest number of sit-ups done has a stem of 3 and a leaf of 5. Write the stem first, then the leaf: 35.\n\nThe smallest number of sit-ups done is 35 sit-ups.", "answer": "35", "table": "**Sit-up competition (number of sit-ups)**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 5 |\n| 4 | 1, 3, 7 |\n| 5 | 1, 8, 9 |\n| 6 | 1, 1, 5, 5 |\n| 7 | 0, 1, 2, 9 |" } ] }, { "id": "17162", "image": "17162.png", "conversations": [ { "from": "human", "question": "How much more does a red kazoo cost than a shapes stencil?\n" }, { "from": "gpt", "solution": "Subtract the price of a shapes stencil from the price of a red kazoo.\n\n$0.08 - $0.04 = $0.04\n\nA red kazoo costs $0.04 more than a shapes stencil.", "answer": "0.04", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| shapes stencil | $0.04 |\n| red kazoo | $0.08 |\n| blue plastic block | $0.06 |\n| green marble | $0.03 |" } ] }, { "id": "17174", "image": "17174.png", "conversations": [ { "from": "human", "question": "Mr. Dudley, a P.E. teacher, wrote down how much weight each of his students could lift. How many people lifted at least 50 pounds but less than 80 pounds?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 5, 6, and 7.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 people lifted at least 50 pounds but less than 80 pounds.", "answer": "4", "table": "**Weight lifting results (lbs)**\n\n| Stem | Leaf |\n| --- | --- |\n| 5 | 4 |\n| 6 | |\n| 7 | 0, 0, 3 |\n| 8 | 3, 3 |\n| 9 | 0 |" } ] }, { "id": "17177", "image": "17177.png", "conversations": [ { "from": "human", "question": "After a spelling bee, some students compared how many words they spelled correctly. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n56, 54, 54, 57, 54, 65, 72\n\nFirst, find the greatest number. The greatest number is 72.\n\nNext, find the least number. The least number is 54.\n\nSubtract the least number from the greatest number:\n\n72 − 54 = 18\n\nThe range is 18.", "answer": "18", "table": "**Spelling bee results**\n\n| Name | Number of words spelled correctly |\n| --- | --- |\n| Tucker | 56 |\n| Ann | 54 |\n| Denise | 54 |\n| Nate | 57 |\n| Omar | 54 |\n| Malik | 65 |\n| Kimi | 72 |" } ] }, { "id": "17178", "image": "17178.png", "conversations": [ { "from": "human", "question": "A pretzel stand owner kept track of the number of pretzels sold during the past 5 days. How many more pretzels did the stand sell on Monday than on Sunday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nMonday: 889\nSunday: 364\n\nNow subtract: 889 - 364 = 525.\n\nThe stand sold 525 more pretzels on Monday.", "answer": "525", "table": "**Pretzels sold**\n\n| Day | Number of pretzels |\n| --- | --- |\n| Thursday | 189 |\n| Friday | 504 |\n| Saturday | 747 |\n| Sunday | 364 |\n| Monday | 889 |" } ] }, { "id": "17185", "image": "17185.png", "conversations": [ { "from": "human", "question": "Amy has $64.50. Does she have enough to buy a trivia game and a toy rocket?\n" }, { "from": "gpt", "solution": "Add the price of a trivia game and the price of a toy rocket:\n\n$16.25 + $46.80 = $63.05\n\n$63.05 is less than $64.50. Amy does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| trivia game | $16.25 |\n| toy rocket | $46.80 |\n| toy guitar | $36.41 |\n| video game | $38.87 |" } ] }, { "id": "17193", "image": "17193.png", "conversations": [ { "from": "human", "question": "The players on a quiz show received the following scores. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 9, 4, 7, 3, 8, 9\n\nFirst, count how many numbers are in the group.\n\nThere are 7 numbers.\n\nNow add all the numbers together:\n\n9 + 9 + 4 + 7 + 3 + 8 + 9 = 49\n\nNow divide the sum by the number of numbers:\n\n49 ÷ 7 = 7\n\nThe mean is 7.", "answer": "7", "table": "**Quiz show scores**\n\n| Name | Score |\n| --- | --- |\n| Mitch | 9 |\n| Gina | 9 |\n| Riley | 4 |\n| Anthony | 7 |\n| Betty | 3 |\n| Elise | 8 |\n| Jada | 9 |" } ] }, { "id": "17196", "image": "17196.png", "conversations": [ { "from": "human", "question": "The players on a quiz show received the following scores. If you combine their scores, how many points did Nicole and Maria receive?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nNicole: 4,545\nMaria: 2,250\n\nNow add: 4,545 + 2,250 = 6,795.\n\nNicole and Maria scored 6,795 points.", "answer": "6,795", "table": "**Quiz show scores**\n\n| Name | Score |\n| --- | --- |\n| Rudy | 3,311 |\n| Ed | 1,683 |\n| Nicole | 4,545 |\n| Maria | 2,250 |" } ] }, { "id": "17197", "image": "17197.png", "conversations": [ { "from": "human", "question": "Sasha, a doctor's office receptionist, tracked the average waiting time at the office each month. According to the table, what was the rate of change between March and April?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{39 minutes - 41 minutes}{1 month}\n = \\frac{-2 minutes}{1 month}\n = -2 minutes per month\nThe rate of change between March and April was - 2 minutes per month.", "answer": "-2", "table": "**Average waiting time at a doctor's office**\n\n| Month | Waiting time (minutes) |\n| --- | --- |\n| March | 41 |\n| April | 39 |\n| May | 35 |\n| June | 29 |\n| July | 28 |" } ] }, { "id": "17210", "image": "17210.png", "conversations": [ { "from": "human", "question": "A hardware store monitored how many hammers it sold in the past 6 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n4, 2, 3, 1, 1, 1\n\nFirst, find the greatest number. The greatest number is 4.\n\nNext, find the least number. The least number is 1.\n\nSubtract the least number from the greatest number:\n\n4 − 1 = 3\n\nThe range is 3.", "answer": "3", "table": "**Hammers sold**\n\n| Day | Number of hammers |\n| --- | --- |\n| Saturday | 4 |\n| Sunday | 2 |\n| Monday | 3 |\n| Tuesday | 1 |\n| Wednesday | 1 |\n| Thursday | 1 |" } ] }, { "id": "17211", "image": "17211.png", "conversations": [ { "from": "human", "question": "A food manufacturer surveyed consumers about their macaroni and cheese consumption. How many people ate macaroni and cheese more than 4 times?\n" }, { "from": "gpt", "solution": "Find the row for 5 times and read the frequency. The frequency is 7.\n\n7 people ate macaroni and cheese more than 4 times.", "answer": "7", "table": "**Eating macaroni and cheese last month**\n\n| Times eaten | Frequency |\n| --- | --- |\n| 0 | 6 |\n| 1 | 18 |\n| 2 | 11 |\n| 3 | 4 |\n| 4 | 10 |\n| 5 | 7 |" } ] }, { "id": "17218", "image": "17218.png", "conversations": [ { "from": "human", "question": "Amelia has $9. How much money will Amelia have left if she buys pasta with tomato sauce and steamed broccoli?\n" }, { "from": "gpt", "solution": "Find the total cost of pasta with tomato sauce and steamed broccoli.\n\n$5 + $3 = $8\n\nNow subtract the total cost from the starting amount.\n\n$9 - $8 = $1\n\nAmelia will have $1 left.", "answer": "1", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pasta with tomato sauce | $5 |\n| steamed broccoli | $3 |\n| green salad | $3 |\n| pasta with white sauce | $7 |" } ] }, { "id": "17220", "image": "17220.png", "conversations": [ { "from": "human", "question": "How much more does a baseball ticket cost than a tennis ticket?\n" }, { "from": "gpt", "solution": "Subtract the price of a tennis ticket from the price of a baseball ticket.\n\n$83 - $35 = $48\n\nA baseball ticket costs $48 more than a tennis ticket.", "answer": "48", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| basketball ticket | $58 |\n| tennis ticket | $35 |\n| hockey ticket | $83 |\n| baseball ticket | $83 |" } ] }, { "id": "17235", "image": "17235.png", "conversations": [ { "from": "human", "question": "A pretzel stand owner kept track of the number of pretzels sold during the past 4 days. On which day did the stand sell the most pretzels?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 595.\n\nNow find the corresponding day. Monday corresponds to 595.", "answer": "Monday", "table": "**Pretzels sold**\n\n| Day | Number of pretzels |\n| --- | --- |\n| Sunday | 553 |\n| Monday | 595 |\n| Tuesday | 539 |\n| Wednesday | 593 |" } ] }, { "id": "17238", "image": "17238.png", "conversations": [ { "from": "human", "question": "Lena kept a log of how many pages she read each month. How many more pages did Lena read in August than in September?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nAugust: 5,531\nSeptember: 2,990\n\nNow subtract: 5,531 - 2,990 = 2,541.\n\nLena read 2,541 more pages in August.", "answer": "2,541", "table": "**Pages read**\n\n| Month | Number of pages |\n| --- | --- |\n| August | 5,531 |\n| September | 2,990 |\n| October | 8,905 |\n| November | 7,522 |\n| December | 1,277 |" } ] }, { "id": "17245", "image": "17245.png", "conversations": [ { "from": "human", "question": "Some pizza restaurants compared their pizza sales. How many more pizza slices did The Real Chicago sell than Pizzeria Italiano?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nThe Real Chicago: 838\nPizzeria Italiano: 213\n\nNow subtract: 838 - 213 = 625.\n\nThe Real Chicago sold 625 more pizza slices than Pizzeria Italiano.", "answer": "625", "table": "**Pizza slices sold**\n\n| Restaurant | Number of slices sold |\n| --- | --- |\n| Pizzeria Italiano | 213 |\n| Mario's Pizzeria | 660 |\n| The Real Chicago | 838 |" } ] }, { "id": "17250", "image": "17250.png", "conversations": [ { "from": "human", "question": "A garden supply store kept track of how many lawn mowers it sold in the past 5 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n3, 9, 10, 6, 9\n\nFirst, arrange the numbers from least to greatest:\n\n3, 6, 9, 9, 10\n\nNow find the number in the middle.\n\n3, 6, 9, 9, 10\n\nThe number in the middle is 9.\n\nThe median is 9.", "answer": "9", "table": "**Lawn mowers sold**\n\n| Day | Number of lawn mowers |\n| --- | --- |\n| Thursday | 3 |\n| Friday | 9 |\n| Saturday | 10 |\n| Sunday | 6 |\n| Monday | 9 |" } ] }, { "id": "17262", "image": "17262.png", "conversations": [ { "from": "human", "question": "Katy has $0.08. Does she have enough to buy a white spindle shell and a pink conch shell?\n" }, { "from": "gpt", "solution": "Add the price of a white spindle shell and the price of a pink conch shell:\n\n$0.01 + $0.09 = $0.10\n\n$0.10 is more than $0.08. Katy does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| oyster shell | $0.06 |\n| pink conch shell | $0.09 |\n| white spindle shell | $0.01 |\n| orange cone shell | $0.07 |" } ] }, { "id": "17266", "image": "17266.png", "conversations": [ { "from": "human", "question": "A newspaper researched how many grocery stores there are in each town. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n8, 3, 2, 3, 3, 2, 4, 7\n\nFirst, count how many numbers are in the group.\n\nThere are 8 numbers.\n\nNow add all the numbers together:\n\n8 + 3 + 2 + 3 + 3 + 2 + 4 + 7 = 32\n\nNow divide the sum by the number of numbers:\n\n32 ÷ 8 = 4\n\nThe mean is 4.", "answer": "4", "table": "**Grocery stores in each town**\n\n| Town | Number of stores |\n| --- | --- |\n| Ashland | 8 |\n| Chesterton | 3 |\n| Columbia | 2 |\n| Springfield | 3 |\n| Richmond | 3 |\n| Mayfield | 2 |\n| Greenwood | 4 |\n| Salem | 7 |" } ] }, { "id": "17268", "image": "17268.png", "conversations": [ { "from": "human", "question": "The city recorded how many fire hydrants there are on each street. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n3, 6, 3, 3, 7, 6, 1, 7\n\nFirst, arrange the numbers from least to greatest:\n\n1, 3, 3, 3, 6, 6, 7, 7\n\nNow count how many times each number appears.\n\n1 appears 1 time.\n3 appears 3 times.\n6 appears 2 times.\n7 appears 2 times.\n\nThe number that appears most often is 3.\n\nThe mode is 3.", "answer": "3", "table": "**Fire hydrants**\n\n| Street | Number of hydrants |\n| --- | --- |\n| Oak Street | 3 |\n| Lemon Street | 6 |\n| Maple Street | 3 |\n| Pine Street | 3 |\n| Cedar Street | 7 |\n| Fir Street | 6 |\n| Elm Street | 1 |\n| Aspen Street | 7 |" } ] }, { "id": "17274", "image": "17274.png", "conversations": [ { "from": "human", "question": "How much money does Tina need to buy 5 denim skirts and 4 purple dresses?\n" }, { "from": "gpt", "solution": "Find the cost of 5 denim skirts.\n\n$8.47 × 5 = $42.35\n\nFind the cost of 4 purple dresses.\n\n$5.82 × 4 = $23.28\n\nNow find the total cost.\n\n$42.35 + $23.28 = $65.63\n\nTina needs $65.63.", "answer": "65.63", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| denim skirt | $8.47 |\n| pair of shoes | $6.12 |\n| orange T-shirt | $7.50 |\n| pair of sweat pants | $6.93 |\n| purple dress | $5.82 |" } ] }, { "id": "17279", "image": "17279.png", "conversations": [ { "from": "human", "question": "Rodrigo's coach wrote down how many kilometers he had run over the past 7 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 7, 0, 8, 1, 6, 3\n\nFirst, find the greatest number. The greatest number is 8.\n\nNext, find the least number. The least number is 0.\n\nSubtract the least number from the greatest number:\n\n8 − 0 = 8\n\nThe range is 8.", "answer": "8", "table": "**Kilometers run**\n\n| Day | Kilometers |\n| --- | --- |\n| Tuesday | 7 |\n| Wednesday | 7 |\n| Thursday | 0 |\n| Friday | 8 |\n| Saturday | 1 |\n| Sunday | 6 |\n| Monday | 3 |" } ] }, { "id": "17280", "image": "17280.png", "conversations": [ { "from": "human", "question": "Heather counted the number of cookies eaten by each customer at last week's bake sale. How many customers ate at least 2 cookies last week?\n" }, { "from": "gpt", "solution": "Find the rows for 2, 3, 4, 5, and 6 cookies last week. Add the frequencies for these rows.\n\nAdd:\n\n18 + 1 + 19 + 6 + 10 = 54\n\n54 customers ate at least 2 cookies last week.", "answer": "54", "table": "**Eating cookies last week**\n\n| Cookies eaten | Frequency |\n| --- | --- |\n| 1 | 0 |\n| 2 | 18 |\n| 3 | 1 |\n| 4 | 19 |\n| 5 | 6 |\n| 6 | 10 |" } ] }, { "id": "17284", "image": "17284.png", "conversations": [ { "from": "human", "question": "How much money does Robert need to buy 6 cups of orange juice and 6 bags of pretzels?\n" }, { "from": "gpt", "solution": "Find the cost of 6 cups of orange juice.\n\n$0.96 × 6 = $5.76\n\nFind the cost of 6 bags of pretzels.\n\n$0.95 × 6 = $5.70\n\nNow find the total cost.\n\n$5.76 + $5.70 = $11.46\n\nRobert needs $11.46.", "answer": "11.46", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| cup of orange juice | $0.96 |\n| bag of pretzels | $0.95 |\n| chocolate-chip cookie | $0.72 |\n| piece of cornbread | $0.93 |" } ] }, { "id": "17297", "image": "17297.png", "conversations": [ { "from": "human", "question": "For a math assignment, Seth researched the scores of the people competing on his favorite quiz show. How many people scored exactly 67 points?\n" }, { "from": "gpt", "solution": "For the number 67, the stem is 6, and the leaf is 7. Find the row where the stem is 6. In that row, count all the leaves equal to 7.\n\nYou counted 1 leaf, which is blue in the stem-and-leaf plot above. 1 person scored exactly 67 points.", "answer": "1", "table": "**Quiz show scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 6 | 1, 1, 7, 8, 9 |\n| 7 | 0, 0, 0, 2, 3, 5, 5, 6, 7, 7 |\n| 8 | 0, 0, 0, 5, 6, 8, 9 |\n| 9 | 0 |" } ] }, { "id": "17298", "image": "17298.png", "conversations": [ { "from": "human", "question": "A girl compared the ages of her cousins. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n18, 11, 8, 11, 11, 8, 18\n\nFirst, arrange the numbers from least to greatest:\n\n8, 8, 11, 11, 11, 18, 18\n\nNow count how many times each number appears.\n\n8 appears 2 times.\n11 appears 3 times.\n18 appears 2 times.\n\nThe number that appears most often is 11.\n\nThe mode is 11.", "answer": "11", "table": "**Ages of cousins**\n\n| Name | Age (years) |\n| --- | --- |\n| Tanvi | 18 |\n| Ayana | 11 |\n| Emma | 8 |\n| Gabriel | 11 |\n| Isabelle | 11 |\n| Carter | 8 |\n| Rosa | 18 |" } ] }, { "id": "17301", "image": "17301.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does lap swim end?\n" }, { "from": "gpt", "solution": "Find lap swim on the schedule. Find the end time for lap swim.\n\nlap swim: 3:35 P. M.", "answer": "3:35 P.M.", "table": "**Swimming pool schedule**\n\n| Activity | Begin | End |\n| --- | --- | --- |\n| family swim | 6:45 A.M. | 7:15 A.M. |\n| swim team practice | 7:25 A.M. | 8:50 A.M. |\n| intermediate swimming class | 9:00 A.M. | 9:40 A.M. |\n| beginning swimming class | 9:50 A.M. | 10:25 A.M. |\n| diving club practice | 10:30 A.M. | 11:00 A.M. |\n| water polo practice | 11:15 A.M. | 12:50 P.M. |\n| advanced swimming class | 1:00 P.M. | 2:20 P.M. |\n| lap swim | 2:25 P.M. | 3:35 P.M. |" } ] }, { "id": "17303", "image": "17303.png", "conversations": [ { "from": "human", "question": "Cole bought 2 pounds of red confetti. How much did he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the red confetti. Multiply the price per pound by the number of pounds.\n\n$12 × 2 = $24\n\nHe spent $24.", "answer": "24", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| gold confetti | $10/pound |\n| rainbow confetti | $12/pound |\n| red confetti | $12/pound |\n| green confetti | $12/pound |\n| silver confetti | $11/pound |\n| blue confetti | $11/pound |" } ] }, { "id": "17306", "image": "17306.png", "conversations": [ { "from": "human", "question": "The members of the swimming team compared how many laps they swam yesterday. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n15, 33, 40, 40, 33, 15, 33\n\nFirst, arrange the numbers from least to greatest:\n\n15, 15, 33, 33, 33, 40, 40\n\nNow count how many times each number appears.\n\n15 appears 2 times.\n33 appears 3 times.\n40 appears 2 times.\n\nThe number that appears most often is 33.\n\nThe mode is 33.", "answer": "33", "table": "**Swimming laps**\n\n| Name | Laps |\n| --- | --- |\n| Tanvi | 15 |\n| Paul | 33 |\n| Norma | 40 |\n| Addison | 40 |\n| Sidney | 33 |\n| Janet | 15 |\n| Kari | 33 |" } ] }, { "id": "17308", "image": "17308.png", "conversations": [ { "from": "human", "question": "If Hassan buys 3.7 pounds of gingersnap cookie dough, how much will he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the gingersnap cookie dough. Multiply the price per pound by the number of pounds.\n$4 × 3.7 = $14.80\nHe will spend $14.80.", "answer": "14.80", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| chocolate chip cookie dough | $5 per lb |\n| gingersnap cookie dough | $4 per lb |\n| double chocolate cookie dough | $4 per lb |\n| oatmeal raisin cookie dough | $5 per lb |\n| snickerdoodle cookie dough | $5 per lb |\n| peanut butter cookie dough | $4 per lb |" } ] }, { "id": "17316", "image": "17316.png", "conversations": [ { "from": "human", "question": "An architecture student measured the heights of all the buildings downtown. How many buildings are less than 57 meters tall?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1, 2, 3, and 4.\n\nIn the row with stem 5, count all the leaves less than 7.\n\nYou counted 13 leaves, which are blue in the stem-and-leaf plots above. 13 buildings are less than 57 meters tall.", "answer": "13", "table": "**Building heights (meters)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 3, 4, 4, 7 |\n| 2 | 2, 5 |\n| 3 | 6 |\n| 4 | 3, 6, 7, 8 |\n| 5 | 6, 6 |\n| 6 | 1, 6, 8 |\n| 7 | 2, 3, 5, 9 |\n| 8 | 3, 4 |" } ] }, { "id": "17318", "image": "17318.png", "conversations": [ { "from": "human", "question": "Winchester Flooring tracked the number of broken tiles in each shipment it received last year. What is the largest number of broken tiles?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 9.\n\nNow find the highest leaf in the last row. The highest leaf is 0.\n\nThe largest number of broken tiles has a stem of 9 and a leaf of 0. Write the stem first, then the leaf: 90.\n\nThe largest number of broken tiles is 90 broken tiles.", "answer": "90", "table": "**Broken tiles per shipment**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1 |\n| 2 | 1, 7, 9 |\n| 3 | 2, 2, 7 |\n| 4 | |\n| 5 | 2, 8, 9 |\n| 6 | 2, 3, 3, 6, 7 |\n| 7 | 7 |\n| 8 | 0, 5, 7 |\n| 9 | 0 |" } ] }, { "id": "17321", "image": "17321.png", "conversations": [ { "from": "human", "question": "Each year, the campers at Audrey's summer camp try to set that summer's record for finishing the obstacle course as quickly as possible. According to the table, what was the rate of change between 2008 and 2009?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{25 minutes - 24 minutes}{2009 - 2008}\n = \\frac{25 minutes - 24 minutes}{1 year}\n = \\frac{1 minute}{1 year}\n = 1 minute per year\nThe rate of change between 2008 and 2009 was 1 minute per year.", "answer": "1", "table": "**Record obstacle course completion times**\n\n| Year | Record time (minutes) |\n| --- | --- |\n| 2007 | 23 |\n| 2008 | 24 |\n| 2009 | 25 |\n| 2010 | 25 |\n| 2011 | 25 |" } ] }, { "id": "17333", "image": "17333.png", "conversations": [ { "from": "human", "question": "Susan graphed the daily high temperature for 4 days. Which day had the highest temperature?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 29.\n\nNow find the corresponding day. Friday corresponds to 29.", "answer": "Friday", "table": "**Daily high temperature**\n\n| Day | Temperature (°C) |\n| --- | --- |\n| Tuesday | 21 |\n| Wednesday | 24 |\n| Thursday | 28 |\n| Friday | 29 |" } ] }, { "id": "17337", "image": "17337.png", "conversations": [ { "from": "human", "question": "Julia bought 1/2 of a pound of baked chicken. How much did she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the baked chicken. Multiply the price per pound by the number of pounds.\n$9 × \\frac{1}{2} = $9 × 0.5 = $4.50\nShe spent $4.50.", "answer": "4.50", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| breaded chicken | $7/pound |\n| roast chicken | $3/pound |\n| baked chicken | $9/pound |\n| curried chicken | $7/pound |\n| fried chicken | $10/pound |\n| sauteed chicken | $6/pound |" } ] }, { "id": "17345", "image": "17345.png", "conversations": [ { "from": "human", "question": "For a science fair project, Oliver tracked the temperature each day. How many temperature readings were exactly 19°C?\n" }, { "from": "gpt", "solution": "For the number 19, the stem is 1, and the leaf is 9. Find the row where the stem is 1. In that row, count all the leaves equal to 9.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 temperature readings were exactly19°C.", "answer": "4", "table": "**Daily temperatures (°C)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1, 8, 9, 9, 9, 9 |\n| 2 | 0, 3, 4 |\n| 3 | 3, 7, 8 |\n| 4 | 0 |" } ] }, { "id": "17351", "image": "17351.png", "conversations": [ { "from": "human", "question": "A farmer counted the number of apples on each tree in her orchard. How many trees have at least 80 apples?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 8 and 9.\n\nYou counted 5 leaves, which are blue in the stem-and-leaf plot above. 5 trees have at least 80 apples.", "answer": "5", "table": "**Apples per tree**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 2 |\n| 5 | 1, 2, 3 |\n| 6 | 0, 1, 1 |\n| 7 | 3, 6, 9 |\n| 8 | 1, 1, 5, 9 |\n| 9 | 0 |" } ] }, { "id": "17353", "image": "17353.png", "conversations": [ { "from": "human", "question": "A pet store owner had his staff count the number of fish in each tank. What is the smallest number of fish per tank?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 1.\n\nNow find the lowest leaf in the first row. The lowest leaf is 1.\n\nThe smallest number of fish per tank has a stem of 1 and a leaf of 1. Write the stem first, then the leaf: 11.\n\nThe smallest number of fish per tank is 11 fish.", "answer": "11", "table": "**Fish per tank**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1, 5, 7 |\n| 2 | 2, 4, 6, 7, 8 |\n| 3 | 1, 1, 5 |\n| 4 | 2, 3, 6, 9 |\n| 5 | 7 |\n| 6 | 3, 3, 7 |\n| 7 | 6, 8 |\n| 8 | 1, 3 |" } ] }, { "id": "17354", "image": "17354.png", "conversations": [ { "from": "human", "question": "A dog show enthusiast recorded the weight of the winning dog at recent dog shows. According to the table, what was the rate of change between 2016 and 2017?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{21 kilograms - 50 kilograms}{2017 - 2016}\n = \\frac{21 kilograms - 50 kilograms}{1 year}\n = \\frac{-29 kilograms}{1 year}\n = -29 kilograms per year\nThe rate of change between 2016 and 2017 was - 29 kilograms per year.", "answer": "-29", "table": "**Weight of winning dog at a dog show**\n\n| Year | Weight (kg) |\n| --- | --- |\n| 2014 | 49 |\n| 2015 | 24 |\n| 2016 | 50 |\n| 2017 | 21 |\n| 2018 | 27 |" } ] }, { "id": "17359", "image": "17359.png", "conversations": [ { "from": "human", "question": "A Girl Scout troop recorded how many boxes of cookies they sold each day for a week. According to the table, what was the rate of change between Wednesday and Thursday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{24 boxes - 19 boxes}{1 day}\n = \\frac{5 boxes}{1 day}\n = 5 boxes per day\nThe rate of change between Wednesday and Thursday was 5 boxes per day.", "answer": "5", "table": "**Boxes of Girl Scout cookies sold**\n\n| Day | Boxes of cookies |\n| --- | --- |\n| Monday | 13 |\n| Tuesday | 22 |\n| Wednesday | 19 |\n| Thursday | 24 |\n| Friday | 27 |" } ] }, { "id": "17361", "image": "17361.png", "conversations": [ { "from": "human", "question": "Mr. Shelton recorded the scores of his students on the most recent math quiz. How many students scored at least 9?\n" }, { "from": "gpt", "solution": "Find the rows for 9 and 10. Add the frequencies for these rows.\n\nAdd:\n\n18 + 4 = 22\n\n22 students scored at least 9.", "answer": "22", "table": "**Scores on the math quiz**\n\n| Score | Frequency |\n| --- | --- |\n| 5 | 19 |\n| 6 | 16 |\n| 7 | 6 |\n| 8 | 14 |\n| 9 | 18 |\n| 10 | 4 |" } ] }, { "id": "17364", "image": "17364.png", "conversations": [ { "from": "human", "question": "Look at this table. Is this relation a function?\n" }, { "from": "gpt", "solution": "Look at the x-values in the table.\n\nThe x-value 0 is paired with multiple y-values, so the relation is not a function.", "answer": "no", "table": "| x | y |\n| --- | --- |\n| 17 | 2 |\n| 0 | 7 |\n| 0 | 10 |" } ] }, { "id": "17366", "image": "17366.png", "conversations": [ { "from": "human", "question": "At a hot air balloon festival, Frank made note of how many passengers were in each balloon and the color of each balloon. What is the probability that a randomly selected hot air balloon is yellow and contains 2 passengers? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the hot air balloon is yellow\" and B be the event \"the hot air balloon contains 2 passengers\".\nTo find the probability that a hot air balloon is yellow and contains 2 passengers, first identify the sample space and the event.\nThe outcomes in the sample space are the different hot air balloons. Each hot air balloon is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the hot air balloon is yellow and contains 2 passengers\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the hot air balloon is yellow and contains 2 passengers\", so look at the table to see how many hot air balloons are yellow and contain 2 passengers.\nThe number of hot air balloons that are yellow and contain 2 passengers is 2.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of hot air balloons.\n3 + 4 + 3 + 2 = 12\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{2}{12}\n = \\frac{1}{6}\nThe probability that a hot air balloon is yellow and contains 2 passengers is \\frac{1}{6}.", "answer": "1/6", "table": "| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| | 1 passenger | 2 passengers |\n| Blue | 3 | 3 |\n| Yellow | 4 | 2 |" } ] }, { "id": "17367", "image": "17367.png", "conversations": [ { "from": "human", "question": "At their family reunion, the Arnold family recorded everyone's age. How many people are exactly 24 years old?\n" }, { "from": "gpt", "solution": "For the number 24, the stem is 2, and the leaf is 4. Find the row where the stem is 2. In that row, count all the leaves equal to 4.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 people are exactly24 years old.", "answer": "2", "table": "**Ages**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 6 |\n| 2 | 4, 4 |\n| 3 | |\n| 4 | 0, 3, 7 |\n| 5 | |\n| 6 | 1, 4 |\n| 7 | |\n| 8 | 2 |\n| 9 | 0 |" } ] }, { "id": "17368", "image": "17368.png", "conversations": [ { "from": "human", "question": "The parks department compared how many basketball hoops there are at each park. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n10, 6, 1, 5, 6, 5, 10, 1\n\nFirst, find the greatest number. The greatest number is 10.\n\nNext, find the least number. The least number is 1.\n\nSubtract the least number from the greatest number:\n\n10 − 1 = 9\n\nThe range is 9.", "answer": "9", "table": "**Basketball hoops**\n\n| Park | Number of basketball hoops |\n| --- | --- |\n| Mooreland Park | 10 |\n| Westfield Park | 6 |\n| Heron Park | 1 |\n| Kelly Park | 5 |\n| Linden Park | 6 |\n| Crestview Park | 5 |\n| Palm Park | 10 |\n| Riverfront Park | 1 |" } ] }, { "id": "17369", "image": "17369.png", "conversations": [ { "from": "human", "question": "How much money does Kinsley need to buy 8 jars of pickles?\n" }, { "from": "gpt", "solution": "Find the total cost of 8 jars of pickles by multiplying 8 times the price of a jar of pickles.\n\n$1.78 × 8 = $14.24\n\nKinsley needs $14.24.", "answer": "14.24", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| jar of pickles | $1.78 |\n| can of corn | $1.29 |\n| can of soup | $2.11 |\n| can of fruit cocktail | $3.34 |" } ] }, { "id": "17373", "image": "17373.png", "conversations": [ { "from": "human", "question": "Cara counted the number of peanuts in each bag of trail mix. How many bags had at least 40 peanuts but fewer than 70 peanuts?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 4, 5, and 6.\n\nYou counted 13 leaves, which are blue in the stem-and-leaf plot above. 13 bags had at least 40 peanuts but fewer than 70 peanuts.", "answer": "13", "table": "**Peanuts per bag of trail mix**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 0, 1, 2, 2, 5, 5, 7 |\n| 4 | 0, 1, 3, 5, 8, 9 |\n| 5 | 4, 4, 7 |\n| 6 | 3, 6, 7, 7 |\n| 7 | 0, 5 |" } ] }, { "id": "17387", "image": "17387.png", "conversations": [ { "from": "human", "question": "A sports fan decided to examine the pattern of medals won by certain countries at several Olympic games. In 2004, how many more medals did Sweden win than Finland?\n" }, { "from": "gpt", "solution": "Find the 2004 column. Find the numbers in this column for Sweden and Finland.\n\nSweden: 7\nFinland: 2\n\nNow subtract:\n\n7 − 2 = 5\n\nIn 2004, Sweden won 5 more medals than Finland.", "answer": "5", "table": "**Olympic medals**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 2000 | 2004 |\n| Brazil | 12 | 10 |\n| Finland | 4 | 2 |\n| Sweden | 12 | 7 |" } ] }, { "id": "17388", "image": "17388.png", "conversations": [ { "from": "human", "question": "Caden counted the number of words per page in his new book. How many pages have at least 70 words but fewer than 90 words?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 7 and 8.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 pages have at least 70 words but fewer than 90 words.", "answer": "3", "table": "**Words per page**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 7 |\n| 4 | 1 |\n| 5 | 2, 2, 4, 9 |\n| 6 | 1 |\n| 7 | |\n| 8 | 5, 9, 9 |" } ] }, { "id": "17393", "image": "17393.png", "conversations": [ { "from": "human", "question": "Sue counted the number of pieces of pepperoni on each pizza she made. How many pizzas had at least 10 pieces of pepperoni but fewer than 30 pieces of pepperoni?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1 and 2.\n\nYou counted 9 leaves, which are blue in the stem-and-leaf plot above. 9 pizzas had at least 10 pieces of pepperoni but fewer than 30 pieces of pepperoni.", "answer": "9", "table": "**Pieces of pepperoni per pizza**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 0, 3, 5, 6, 7, 9 |\n| 2 | 3, 7 |\n| 3 | 2, 3, 4 |\n| 4 | 0, 1, 1, 4, 6 |" } ] }, { "id": "17397", "image": "17397.png", "conversations": [ { "from": "human", "question": "To figure out how many vacation days she had left to use, Deb looked over her old calendars to figure out how many days of vacation she had taken each year. According to the table, what was the rate of change between 2006 and 2007?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{25 vacation days - 27 vacation days}{2007 - 2006}\n = \\frac{25 vacation days - 27 vacation days}{1 year}\n = \\frac{-2 vacation days}{1 year}\n = -2 vacation days per year\nThe rate of change between 2006 and 2007 was - 2 vacation days per year.", "answer": "-2", "table": "**Vacation days taken by Deb**\n\n| Year | Vacation days |\n| --- | --- |\n| 2006 | 27 |\n| 2007 | 25 |\n| 2008 | 32 |\n| 2009 | 29 |\n| 2010 | 23 |" } ] }, { "id": "17401", "image": "17401.png", "conversations": [ { "from": "human", "question": "Each glass has 10 ice cubes. How many ice cubes are in 6 glasses?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 60 ice cubes in 6 glasses.", "answer": "60", "table": "| Number of glasses | Number of ice cubes |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | 40 |\n| 5 | 50 |\n| 6 | ? |" } ] }, { "id": "17409", "image": "17409.png", "conversations": [ { "from": "human", "question": "Eliana is looking at the price of new cell phones online. Her favorite company, OrangeTech, has a special this weekend. Eliana can add an upgrade to a phone for an additional cost, or she can buy a used phone to get a discount. The change in price for each option is shown in the table. Which option results in a greater change in price?\n" }, { "from": "gpt", "solution": "To find the option that results in a greater change in price, use absolute value. Absolute value tells you how much the price changes.\nAdd an upgrade: |$60| = $60\nBuy a used phone: |-$75| = $75\nBuying a used phone results in a greater change in price. It reduces the price by $75.", "answer": "buying a used phone", "table": "| Option | Change in phone price |\n| --- | --- |\n| Add an upgrade | $60 |\n| Buy a used phone | -$75 |" } ] }, { "id": "17412", "image": "17412.png", "conversations": [ { "from": "human", "question": "In considering whether to open a new branch, the city council examined the number of times some typical residents went to the library last month. How many people are there in all?\n" }, { "from": "gpt", "solution": "Add the frequencies for each row.\n\nAdd:\n\n10 + 5 + 19 + 0 + 16 + 7 = 57\n\nThere are 57 people in all.", "answer": "57", "table": "**Going to the library last month**\n\n| Number of trips | Frequency |\n| --- | --- |\n| 1 | 10 |\n| 2 | 5 |\n| 3 | 19 |\n| 4 | 0 |\n| 5 | 16 |\n| 6 | 7 |" } ] }, { "id": "17413", "image": "17413.png", "conversations": [ { "from": "human", "question": "Reid kept track of the number of games his soccer team won each year. According to the table, what was the rate of change between 2017 and 2018?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{46 games - 22 games}{2018 - 2017}\n = \\frac{46 games - 22 games}{1 year}\n = \\frac{24 games}{1 year}\n = 24 games per year\nThe rate of change between 2017 and 2018 was 24 games per year.", "answer": "24", "table": "**Games won by Reid's soccer team**\n\n| Year | Games won |\n| --- | --- |\n| 2015 | 26 |\n| 2016 | 46 |\n| 2017 | 22 |\n| 2018 | 46 |\n| 2019 | 13 |" } ] }, { "id": "17418", "image": "17418.png", "conversations": [ { "from": "human", "question": "As part of a statistics project, a math class weighed all the children who were willing to participate. How many children weighed less than 50 pounds?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1, 2, 3, and 4.\n\nYou counted 5 leaves, which are blue in the stem-and-leaf plot above. 5 children weighed less than 50 pounds.", "answer": "5", "table": "**Children's weights (lbs)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 9 |\n| 2 | 3, 7 |\n| 3 | 2 |\n| 4 | 2 |\n| 5 | 9 |" } ] }, { "id": "17425", "image": "17425.png", "conversations": [ { "from": "human", "question": "Justine's P.E. class participated in a push-up competition, and Justine wrote down how many push-ups each person could do. How many people did at least 60 push-ups?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 6 and 7.\n\nYou counted 11 leaves, which are blue in the stem-and-leaf plot above. 11 people did at least 60 push-ups.", "answer": "11", "table": "**Push-up competition (number of push-ups)**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 8 |\n| 5 | 5, 6 |\n| 6 | 3, 6, 7, 7 |\n| 7 | 1, 3, 3, 5, 7, 7, 8 |" } ] }, { "id": "17429", "image": "17429.png", "conversations": [ { "from": "human", "question": "A city recorded how many people rode the subway each day. On which day did the most people ride the subway?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 175.\n\nNow find the corresponding day. Tuesday corresponds to 175.", "answer": "Tuesday", "table": "**Subway riders**\n\n| Day | Number of riders |\n| --- | --- |\n| Saturday | 157 |\n| Sunday | 151 |\n| Monday | 117 |\n| Tuesday | 175 |" } ] }, { "id": "17432", "image": "17432.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{11 - 13}{4 - 3}\n = \\frac{-2}{1}\n = -2\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{9 - 13}{5 - 3}\n = \\frac{-4}{2}\n = -2\nThe two rates of change are the same.\n2.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 3 | 13 |\n| 4 | 11 |\n| 5 | 9 |" } ] }, { "id": "17436", "image": "17436.png", "conversations": [ { "from": "human", "question": "The shop teacher, Mr. Monroe, wrote down how many picture frames the students made last week. How many students made more than 5 picture frames?\n" }, { "from": "gpt", "solution": "Find the row for 6 picture frames and read the frequency. The frequency is 10.\n\n10 students made more than 5 picture frames.", "answer": "10", "table": "**Making picture frames**\n\n| Picture frames made | Frequency |\n| --- | --- |\n| 0 | 3 |\n| 1 | 7 |\n| 2 | 12 |\n| 3 | 11 |\n| 4 | 1 |\n| 5 | 14 |\n| 6 | 10 |" } ] }, { "id": "17438", "image": "17438.png", "conversations": [ { "from": "human", "question": "How much money does Martin need to buy 6 basketballs and a volleyball?\n" }, { "from": "gpt", "solution": "Find the cost of 6 basketballs.\n\n$8.34 × 6 = $50.04\n\nNow find the total cost.\n\n$50.04 + $9.97 = $60.01\n\nMartin needs $60.01.", "answer": "60.01", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| basketball | $8.34 |\n| baseball | $1.36 |\n| volleyball | $9.97 |\n| fishing pole | $9.81 |" } ] }, { "id": "17447", "image": "17447.png", "conversations": [ { "from": "human", "question": "The board of commerce recorded how many employees work at each company. How many employees work at Thompson Corporation and Madison Corporation combined?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nThompson Corporation: 2,260\nMadison Corporation: 3,929\n\nNow add: 2,260 + 3,929 = 6,189.\n\n6,189 employees work at Thompson Corporation and Madison Corporation combined.", "answer": "6,189", "table": "**Company sizes**\n\n| Company | Number of employees |\n| --- | --- |\n| Thompson Corporation | 2,260 |\n| Davidson Insurance | 1,125 |\n| Madison Corporation | 3,929 |" } ] }, { "id": "17453", "image": "17453.png", "conversations": [ { "from": "human", "question": "Mrs. McBride told students how many rounds to expect in the spelling bee based on previous years. According to the table, what was the rate of change between 2017 and 2018?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{7 rounds - 8 rounds}{2018 - 2017}\n = \\frac{7 rounds - 8 rounds}{1 year}\n = \\frac{-1 rounds}{1 year}\n = -1 rounds per year\nThe rate of change between 2017 and 2018 was - 1 rounds per year.", "answer": "-1", "table": "**Rounds in the spelling bee**\n\n| Year | Rounds |\n| --- | --- |\n| 2016 | 13 |\n| 2017 | 8 |\n| 2018 | 7 |\n| 2019 | 10 |\n| 2020 | 16 |" } ] }, { "id": "17459", "image": "17459.png", "conversations": [ { "from": "human", "question": "After growing tired of squinting while driving, Erik went shopping for a pair of sunglasses. He tried on glasses with different frames and lenses. What is the probability that a randomly selected pair of sunglasses has browline frames and polarized lenses? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the pair of sunglasses has browline frames\" and B be the event \"the pair of sunglasses has polarized lenses\".\nTo find the probability that a pair of sunglasses has browline frames and polarized lenses, first identify the sample space and the event.\nThe outcomes in the sample space are the different pairs of sunglasses. Each pair of sunglasses is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the pair of sunglasses has browline frames and polarized lenses\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the pair of sunglasses has browline frames and polarized lenses\", so look at the table to see how many pairs of sunglasses have browline frames and polarized lenses.\nThe number of pairs of sunglasses that have browline frames and polarized lenses is 4.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of pairs of sunglasses.\n2 + 4 + 5 + 4 = 15\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{4}{15}\nThe probability that a pair of sunglasses has browline frames and polarized lenses is \\frac{4}{15}.", "answer": "4/15", "table": "| | Polarized lenses | Regular lenses |\n| --- | --- | --- |\n| Cat eye frames | 2 | 5 |\n| Browline frames | 4 | 4 |" } ] }, { "id": "17469", "image": "17469.png", "conversations": [ { "from": "human", "question": "The Lexington Soup Company recorded the number of rotten tomatoes in each barrel it received. How many barrels had at least 20 rotten tomatoes?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 2, 3, 4, 5, 6, 7, 8, and 9.\n\nYou counted 5 leaves, which are blue in the stem-and-leaf plot above. 5 barrels had at least 20 rotten tomatoes.", "answer": "5", "table": "**Rotten tomatoes per barrel**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1, 6, 8 |\n| 2 | |\n| 3 | 2 |\n| 4 | |\n| 5 | |\n| 6 | |\n| 7 | 0, 4 |\n| 8 | 4 |\n| 9 | 0 |" } ] }, { "id": "17473", "image": "17473.png", "conversations": [ { "from": "human", "question": "How much money does Katy need to buy 2 yellow skirts and a pair of jeans?\n" }, { "from": "gpt", "solution": "Find the cost of 2 yellow skirts.\n\n$20 × 2 = $40\n\nNow find the total cost.\n\n$40 + $40 = $80\n\nKaty needs $80.", "answer": "80", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| black skirt | $20 |\n| gray sweatshirt | $11 |\n| yellow skirt | $20 |\n| green dress | $47 |\n| pair of jeans | $40 |" } ] }, { "id": "17479", "image": "17479.png", "conversations": [ { "from": "human", "question": "While looking through an almanac at the library, Belle noticed some data showing the population density of various states. In 2000, how many more people per square mile lived in Nevada than in Idaho?\n" }, { "from": "gpt", "solution": "Find the 2000 column. Find the numbers in this column for Nevada and Idaho.\n\nNevada: 18\nIdaho: 15\n\nNow subtract:\n\n18 − 15 = 3\n\nIn 2000, 3 more people per square mile lived in Nevada than in Idaho.", "answer": "3", "table": "**Population per square mile**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| State | 1990 | 2000 |\n| South Dakota | 9 | 10 |\n| Idaho | 12 | 15 |\n| New Mexico | 12 | 15 |\n| Nevada | 10 | 18 |" } ] }, { "id": "17482", "image": "17482.png", "conversations": [ { "from": "human", "question": "Colette buys 2 kilograms of mint and 5 kilograms of parsley. What is the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the mint. Multiply:\n\n$3.39 × 2 = $6.78\n\nFind the cost of the parsley. Multiply:\n\n$3.10 × 5 = $15.50\n\nNow find the total cost by adding:\n\n$6.78 + $15.50 = $22.28\n\nThe total cost is $22.28.", "answer": "22.28", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| sage | $2.55/kg |\n| parsley | $3.10/kg |\n| mint | $3.39/kg |\n| oregano | $2.53/kg |\n| rosemary | $2.83/kg |" } ] }, { "id": "17486", "image": "17486.png", "conversations": [ { "from": "human", "question": "Some friends played golf and compared their scores. Who had the highest score?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 79.\n\nNow find the corresponding name. Pedro corresponds to 79.", "answer": "Pedro", "table": "**Golf scores**\n\n| Name | Score |\n| --- | --- |\n| Shelley | 71 |\n| Zoe | 76 |\n| Rose | 75 |\n| Pedro | 79 |" } ] }, { "id": "17489", "image": "17489.png", "conversations": [ { "from": "human", "question": "Christina has $0.21. How much money will Christina have left if she buys an orange ribbon and a shiny red button?\n" }, { "from": "gpt", "solution": "Find the total cost of an orange ribbon and a shiny red button.\n\n$0.06 + $0.07 = $0.13\n\nNow subtract the total cost from the starting amount.\n\n$0.21 - $0.13 = $0.08\n\nChristina will have $0.08 left.", "answer": "0.08", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| green pipe cleaner | $0.03 |\n| shiny red button | $0.07 |\n| silver bow | $0.01 |\n| orange ribbon | $0.06 |" } ] }, { "id": "17491", "image": "17491.png", "conversations": [ { "from": "human", "question": "A gymnast jotted down the number of cartwheels she did each day. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n8, 6, 10, 7, 9\n\nFirst, count how many numbers are in the group.\n\nThere are 5 numbers.\n\nNow add all the numbers together:\n\n8 + 6 + 10 + 7 + 9 = 40\n\nNow divide the sum by the number of numbers:\n\n40 ÷ 5 = 8\n\nThe mean is 8.", "answer": "8", "table": "**Doing cartwheels**\n\n| Day | Number of cartwheels |\n| --- | --- |\n| Wednesday | 8 |\n| Thursday | 6 |\n| Friday | 10 |\n| Saturday | 7 |\n| Sunday | 9 |" } ] }, { "id": "17492", "image": "17492.png", "conversations": [ { "from": "human", "question": "Billy has $20. Does he have enough to buy a cat calendar and a map of Africa?\n" }, { "from": "gpt", "solution": "Add the price of a cat calendar and the price of a map of Africa:\n\n$11 + $11 = $22\n\n$22 is more than $20. Billy does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| cookbook | $12 |\n| map of Africa | $11 |\n| cat calendar | $11 |\n| math book | $19 |" } ] }, { "id": "17493", "image": "17493.png", "conversations": [ { "from": "human", "question": "During Fitness Day at school, Elena and her classmates took part in a pull-up competition, keeping track of the results. How many people did at least 20 pull-ups but fewer than 40 pull-ups?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 2 and 3.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 people did at least 20 pull-ups but fewer than 40 pull-ups.", "answer": "4", "table": "**Pull-up competition (number of pull-ups)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 9 |\n| 2 | 8 |\n| 3 | 2, 4, 5 |\n| 4 | 3, 3, 6 |\n| 5 | |\n| 6 | |\n| 7 | 1 |\n| 8 | |\n| 9 | 0 |" } ] }, { "id": "17497", "image": "17497.png", "conversations": [ { "from": "human", "question": "The gym teacher wrote down how many tennis balls his students hit in half an hour. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n65, 65, 57, 61, 61\n\nFirst, arrange the numbers from least to greatest:\n\n57, 61, 61, 65, 65\n\nNow find the number in the middle.\n\n57, 61, 61, 65, 65\n\nThe number in the middle is 61.\n\nThe median is 61.", "answer": "61", "table": "**Hitting tennis balls**\n\n| Name | Number of tennis balls |\n| --- | --- |\n| Carla | 65 |\n| Leroy | 65 |\n| Kenji | 57 |\n| Shawna | 61 |\n| Angie | 61 |" } ] }, { "id": "17503", "image": "17503.png", "conversations": [ { "from": "human", "question": "An archer recalled how many times he hit the bull's-eye in the past 5 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n3, 4, 8, 8, 10\n\nFirst, arrange the numbers from least to greatest:\n\n3, 4, 8, 8, 10\n\nNow find the number in the middle.\n\n3, 4, 8, 8, 10\n\nThe number in the middle is 8.\n\nThe median is 8.", "answer": "8", "table": "**Bull's-eyes**\n\n| Day | Number of bull's-eyes |\n| --- | --- |\n| Thursday | 3 |\n| Friday | 4 |\n| Saturday | 8 |\n| Sunday | 8 |\n| Monday | 10 |" } ] }, { "id": "17504", "image": "17504.png", "conversations": [ { "from": "human", "question": "A volunteer for the local running club counted the number of participants at each race. How many races had fewer than 39 participants?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1 and 2.\n\nIn the row with stem 3, count all the leaves less than 9.\n\nYou counted 9 leaves, which are blue in the stem-and-leaf plots above. 9 races had fewer than 39 participants.", "answer": "9", "table": "**Participants per race**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 3, 5, 7, 9 |\n| 2 | 6, 7, 8 |\n| 3 | 0, 7 |\n| 4 | |\n| 5 | 8 |\n| 6 | 4, 7, 9 |\n| 7 | |\n| 8 | 5 |" } ] }, { "id": "17512", "image": "17512.png", "conversations": [ { "from": "human", "question": "Jackie has $24.00. Does she have enough to buy a mushroom pizza and pasta with tomato sauce?\n" }, { "from": "gpt", "solution": "Add the price of a mushroom pizza and the price of pasta with tomato sauce:\n\n$14.93 + $10.51 = $25.44\n\n$25.44 is more than $24.00. Jackie does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| mushroom pizza | $14.93 |\n| baked chicken | $18.28 |\n| pasta with tomato sauce | $10.51 |\n| ravioli | $11.41 |\n| pasta with pesto sauce | $10.78 |" } ] }, { "id": "17529", "image": "17529.png", "conversations": [ { "from": "human", "question": "For a science fair project, Mariana tracked the temperature each day. How many temperature readings were at least 20°C but less than 50°C?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 2, 3, and 4.\n\nYou counted 10 leaves, which are blue in the stem-and-leaf plot above. 10 temperature readings were at least 20°C but less than 50°C.", "answer": "10", "table": "**Daily temperatures (°C)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 4, 5, 7 |\n| 2 | 1, 8, 9 |\n| 3 | 1, 4, 4, 5, 8, 9 |\n| 4 | 1 |" } ] }, { "id": "17533", "image": "17533.png", "conversations": [ { "from": "human", "question": "How much money does Anita need to buy a duck key chain and a tennis ball key chain?\n" }, { "from": "gpt", "solution": "Add the price of a duck key chain and the price of a tennis ball key chain:\n\n$1.23 + $1.80 = $3.03\n\nAnita needs $3.03.", "answer": "3.03", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| cartoon character key chain | $1.85 |\n| tennis ball key chain | $1.80 |\n| duck key chain | $1.23 |\n| pumpkin key chain | $2.70 |\n| cat key chain | $2.53 |" } ] }, { "id": "17548", "image": "17548.png", "conversations": [ { "from": "human", "question": "A candy dispenser put various numbers of orange candies into bags. How many bags had exactly 50 orange candies?\n" }, { "from": "gpt", "solution": "For the number 50, the stem is 5, and the leaf is 0. Find the row where the stem is 5. In that row, count all the leaves equal to 0.\n\nYou counted 0 leaves. 0 bags had exactly 50 orange candies.", "answer": "0", "table": "**Orange candies per bag**\n\n| Stem | Leaf |\n| --- | --- |\n| 0 | 4, 4, 9 |\n| 1 | |\n| 2 | 1, 7, 8 |\n| 3 | |\n| 4 | |\n| 5 | 6, 7 |\n| 6 | 3 |\n| 7 | 2 |" } ] }, { "id": "17549", "image": "17549.png", "conversations": [ { "from": "human", "question": "Tyrone conducted a blind taste test on some of his friends in order to determine if organic fruits tasted different than non-organic fruits. Each friend ate one type of fruit. What is the probability that a randomly selected friend tasted peaches and preferred organic? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the friend tasted peaches\" and B be the event \"the friend preferred organic\".\nTo find the probability that a friend tasted peaches and preferred organic, first identify the sample space and the event.\nThe outcomes in the sample space are the different friends. Each friend is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the friend tasted peaches and preferred organic\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the friend tasted peaches and preferred organic\", so look at the table to see how many friends tasted peaches and preferred organic.\nThe number of friends who tasted peaches and preferred organic is 3.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of friends.\n3 + 3 + 4 + 1 = 11\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{3}{11}\nThe probability that a friend tasted peaches and preferred organic is \\frac{3}{11}.", "answer": "3/11", "table": "| | Organic | Non-organic |\n| --- | --- | --- |\n| Apples | 3 | 4 |\n| Peaches | 3 | 1 |" } ] }, { "id": "17553", "image": "17553.png", "conversations": [ { "from": "human", "question": "Justin has $60.19. How much money will Justin have left if he buys a picture book and a science book?\n" }, { "from": "gpt", "solution": "Find the total cost of a picture book and a science book.\n\n$12.69 + $19.29 = $31.98\n\nNow subtract the total cost from the starting amount.\n\n$60.19 - $31.98 = $28.21\n\nJustin will have $28.21 left.", "answer": "28.21", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| math book | $19.79 |\n| science book | $19.29 |\n| coloring book | $19.22 |\n| picture book | $12.69 |\n| history book | $18.88 |" } ] }, { "id": "17562", "image": "17562.png", "conversations": [ { "from": "human", "question": "Dr. Rudd, a pediatrician, weighed all the children who recently visited his office. How many children weighed less than 50 pounds?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1, 2, 3, and 4.\n\nYou counted 23 leaves, which are blue in the stem-and-leaf plot above. 23 children weighed less than 50 pounds.", "answer": "23", "table": "**Children's weights (lbs)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 2, 2, 2, 4, 6, 8, 8 |\n| 2 | 2, 2, 3, 9 |\n| 3 | 5, 7, 8, 8, 9 |\n| 4 | 0, 2, 3, 3, 5, 7, 7 |" } ] }, { "id": "17570", "image": "17570.png", "conversations": [ { "from": "human", "question": "Mona went to the store and bought 3+3/4 pounds of fruit salad. How much did she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the fruit salad. Multiply the price per pound by the number of pounds.\n$4 × 3\\frac{3}{4} = $4 × 3.75 = $15\nShe spent $15.", "answer": "15", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| potato salad | $3 per pound |\n| macaroni salad | $3 per pound |\n| fruit salad | $4 per pound |\n| egg salad | $5 per pound |\n| tuna salad | $4 per pound |\n| green salad | $5 per pound |" } ] }, { "id": "17580", "image": "17580.png", "conversations": [ { "from": "human", "question": "How much money does Ava need to buy 6 oil paintings?\n" }, { "from": "gpt", "solution": "Find the total cost of 6 oil paintings by multiplying 6 times the price of an oil painting.\n\n$62.76 × 6 = $376.56\n\nAva needs $376.56.", "answer": "376.56", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| crystal vase | $37.31 |\n| ceramic vase | $64.07 |\n| silver coat rack | $94.12 |\n| lamp | $72.15 |\n| rug | $12.91 |\n| oil painting | $62.76 |" } ] }, { "id": "17581", "image": "17581.png", "conversations": [ { "from": "human", "question": "Alexis's class paid attention to how many bottles each student collected for their recycling project. Who collected the most bottles?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 193.\n\nNow find the corresponding name. Hunter corresponds to 193.", "answer": "Hunter", "table": "**Bottles collected**\n\n| Name | Number of bottles |\n| --- | --- |\n| Alexis | 138 |\n| Hunter | 193 |\n| Kendall | 119 |\n| Jim | 139 |" } ] }, { "id": "17584", "image": "17584.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $255, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $255, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $115 | 15,900 | 7,300 |\n| $255 | 14,500 | 10,700 |\n| $395 | 13,100 | 14,100 |\n| $535 | 11,700 | 17,500 |\n| $675 | 10,300 | 20,900 |" } ] }, { "id": "17588", "image": "17588.png", "conversations": [ { "from": "human", "question": "Dr. Conway, a zoo director, researched ticket prices at other zoos around the country. How much does a child ticket to the Cleveland Zoo cost?\n" }, { "from": "gpt", "solution": "First, find the row for Cleveland. Then find the number in the Child column.\n\nThis number is $7.00. A child ticket to the Cleveland Zoo cost $7.", "answer": "7", "table": "**Zoo ticket prices**\n\n| Zoo | Child | Senior |\n| --- | --- | --- |\n| Central Florida | $7 | $9 |\n| Cleveland | $7 | $10 |\n| Atlanta | $14 | $15 |\n| Brookfield | $8 | $8 |" } ] }, { "id": "17593", "image": "17593.png", "conversations": [ { "from": "human", "question": "Each office has 10 rulers. How many rulers are in 6 offices?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 60 rulers in 6 offices.", "answer": "60", "table": "| Number of offices | Number of rulers |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | 40 |\n| 5 | 50 |\n| 6 | ? |" } ] }, { "id": "17597", "image": "17597.png", "conversations": [ { "from": "human", "question": "How much money does Vicky need to buy a red ribbon and a purple bow?\n" }, { "from": "gpt", "solution": "Add the price of a red ribbon and the price of a purple bow:\n\n$0.08 + $0.08 = $0.16\n\nVicky needs $0.16.", "answer": "0.16", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| silver bow | $0.04 |\n| red ribbon | $0.08 |\n| orange ribbon | $0.01 |\n| sewing needle | $0.01 |\n| purple bow | $0.08 |\n| green pipe cleaner | $0.09 |" } ] }, { "id": "17598", "image": "17598.png", "conversations": [ { "from": "human", "question": "Mrs. Newton told students how many rounds to expect in the spelling bee based on previous years. According to the table, what was the rate of change between 2011 and 2012?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{7 rounds - 15 rounds}{2012 - 2011}\n = \\frac{7 rounds - 15 rounds}{1 year}\n = \\frac{-8 rounds}{1 year}\n = -8 rounds per year\nThe rate of change between 2011 and 2012 was - 8 rounds per year.", "answer": "-8", "table": "**Rounds in the spelling bee**\n\n| Year | Rounds |\n| --- | --- |\n| 2008 | 17 |\n| 2009 | 10 |\n| 2010 | 9 |\n| 2011 | 15 |\n| 2012 | 7 |" } ] }, { "id": "17606", "image": "17606.png", "conversations": [ { "from": "human", "question": "The receptionist at a doctor's office kept track of each patient's wait time. How many people waited for at least 56 minutes but less than 83 minutes?\n" }, { "from": "gpt", "solution": "Find the row with stem 5. Count all the leaves greater than or equal to 6.\n\nCount all the leaves in the rows with stems 6 and 7.\n\nIn the row with stem 8, count all the leaves less than 3.\n\nYou counted 11 leaves, which are blue in the stem-and-leaf plots above. 11 people waited for at least 56 minutes but less than 83 minutes.", "answer": "11", "table": "**Doctor's office wait times (minutes)**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 1, 7, 8 |\n| 4 | 4, 9 |\n| 5 | 0, 1, 2, 5, 5, 6 |\n| 6 | 1, 2, 2, 3, 3, 3, 6, 7 |\n| 7 | 4, 5 |\n| 8 | 3, 9 |" } ] }, { "id": "17613", "image": "17613.png", "conversations": [ { "from": "human", "question": "A waitress kept track of how many hours she worked each day. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n10, 6, 4, 7, 6, 9, 8\n\nFirst, arrange the numbers from least to greatest:\n\n4, 6, 6, 7, 8, 9, 10\n\nNow find the number in the middle.\n\n4, 6, 6, 7, 8, 9, 10\n\nThe number in the middle is 7.\n\nThe median is 7.", "answer": "7", "table": "**Hours worked**\n\n| Day | Hours |\n| --- | --- |\n| Friday | 10 |\n| Saturday | 6 |\n| Sunday | 4 |\n| Monday | 7 |\n| Tuesday | 6 |\n| Wednesday | 9 |\n| Thursday | 8 |" } ] }, { "id": "17617", "image": "17617.png", "conversations": [ { "from": "human", "question": "If Gina buys 5 pounds of hemp flour, how much will she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the hemp flour. Multiply the price per pound by the number of pounds.\n\n$3.12 × 5 = $15.60\n\nShe will spend $15.60.", "answer": "15.60", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| peanut flour | $5.45 per pound |\n| whole wheat flour | $5.01 per pound |\n| hemp flour | $3.12 per pound |\n| soy flour | $3.45 per pound |\n| bleached white flour | $5.56 per pound |" } ] }, { "id": "17625", "image": "17625.png", "conversations": [ { "from": "human", "question": "How much more does grilled eggplant cost than a green salad?\n" }, { "from": "gpt", "solution": "Subtract the price of a green salad from the price of grilled eggplant.\n\n$9.00 - $4.00 = $5.00\n\nGrilled eggplant costs $5.00 more than a green salad.", "answer": "5", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| green salad | $4.00 |\n| pasta with tomato sauce | $7.00 |\n| steamed broccoli | $7.00 |\n| grilled eggplant | $9.00 |\n| cheese pizza | $6.00 |" } ] }, { "id": "17635", "image": "17635.png", "conversations": [ { "from": "human", "question": "Dr. Estrada, a pediatrician, weighed all the children who recently visited his office. How many children weighed at least 30 pounds?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 3, 4, 5, 6, 7, and 8.\n\nYou counted 11 leaves, which are blue in the stem-and-leaf plot above. 11 children weighed at least 30 pounds.", "answer": "11", "table": "**Children's weights (lbs)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 1, 2, 7 |\n| 2 | 4, 7 |\n| 3 | 5 |\n| 4 | 9 |\n| 5 | 6, 6, 7, 8 |\n| 6 | 5, 9 |\n| 7 | 3, 4 |\n| 8 | 2 |" } ] }, { "id": "17641", "image": "17641.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{8 - 15}{3 - 2}\n = \\frac{-7}{1}\n = -7\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{2 - 15}{4 - 2}\n = \\frac{-13}{2}\n = -6\\frac{1}{2}\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 2 | 15 |\n| 3 | 8 |\n| 4 | 2 |" } ] }, { "id": "17649", "image": "17649.png", "conversations": [ { "from": "human", "question": "At a swim meet, Joel noted the size of various swim teams. What is the size of the smallest team?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 1.\n\nNow find the lowest leaf in the first row. The lowest leaf is 1.\n\nThe size of the smallest team has a stem of 1 and a leaf of 1. Write the stem first, then the leaf: 11.\n\nThe size of the smallest team is 11 swimmers.", "answer": "11", "table": "**Swimming team sizes (number of swimmers)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1, 5, 6, 7 |\n| 2 | 0, 7 |\n| 3 | 4, 5, 7, 7, 9 |\n| 4 | 3, 7, 9 |\n| 5 | 1, 4, 5, 7 |\n| 6 | 2, 6 |\n| 7 | 5, 7, 7, 9 |" } ] }, { "id": "17651", "image": "17651.png", "conversations": [ { "from": "human", "question": "An Idaho farmer has been monitoring crop prices over time. Per cwt, how much did Timothy seed cost in 2005?\n" }, { "from": "gpt", "solution": "First, find the row for Timothy seed. Then find the number in the 2005 column.\n\nThis number is $7.00. In 2005, Timothy seed cost $7 per cwt.", "answer": "7", "table": "**Idaho crop prices per cwt**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Crop | 2004 | 2005 |\n| Canola | $11 | $10 |\n| Timothy seed | $7 | $7 |\n| Apples | $12 | $18 |\n| Peas | $7 | $6 |\n| Potatoes | $4 | $6 |" } ] }, { "id": "17654", "image": "17654.png", "conversations": [ { "from": "human", "question": "Each package has 10 markers. How many markers are in 6 packages?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 60 markers in 6 packages.", "answer": "60", "table": "| Number of packages | Number of markers |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | 40 |\n| 5 | 50 |\n| 6 | ? |" } ] }, { "id": "17655", "image": "17655.png", "conversations": [ { "from": "human", "question": "Look at this table. Is this relation a function?\n" }, { "from": "gpt", "solution": "Look at the x-values in the table.\n\nEach of the x-values is paired with only one y-value, so the relation is a function.", "answer": "yes", "table": "| x | y |\n| --- | --- |\n| 18 | 2 |\n| 12 | 11 |\n| 10 | 15 |\n| 14 | 14 |" } ] }, { "id": "17675", "image": "17675.png", "conversations": [ { "from": "human", "question": "Hannah went to the store and bought 4.4 pounds of yams. How much did she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the yams. Multiply the price per pound by the number of pounds.\n$2 × 4.4 = $8.80\nShe spent $8.80.", "answer": "8.80", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| potatoes | $3 per lb |\n| yams | $2 per lb |\n| zucchini | $2 per lb |\n| carrots | $3 per lb |\n| beets | $1 per lb |" } ] }, { "id": "17678", "image": "17678.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Manuel got on the 1.00 P.M. train at Floral Gardens. Can he get off at Happy Cow Farm?\n" }, { "from": "gpt", "solution": "Find 1:00 P. M. in the row for Floral Gardens. That column shows the schedule for the train that Manuel is on.\n\nLook down the column until you find the row for Happy Cow Farm.\n\nThere is no time for Happy Cow Farm, so the train does not stop at Happy Cow Farm.", "answer": "no", "table": "**Train schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 |\n| --- | --- | --- | --- |\n| Floral Gardens | 3:15 A.M. | 1:00 P.M. | 7:30 P.M. |\n| Happy Cow Farm | 3:45 A.M. | 4:00 P.M. | 8:00 P.M. |\n| Chickenville | 4:45 A.M. | 1:45 P.M. | 9:00 P.M. |\n| Gecko Paradise | 5:15 A.M. | 5:15 P.M. | 9:30 P.M. |" } ] }, { "id": "17683", "image": "17683.png", "conversations": [ { "from": "human", "question": "To figure out how many vacation days she had left to use, Erin looked over her old calendars to figure out how many days of vacation she had taken each year. According to the table, what was the rate of change between 2017 and 2018?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{34 vacation days - 26 vacation days}{2018 - 2017}\n = \\frac{34 vacation days - 26 vacation days}{1 year}\n = \\frac{8 vacation days}{1 year}\n = 8 vacation days per year\nThe rate of change between 2017 and 2018 was 8 vacation days per year.", "answer": "8", "table": "**Vacation days taken by Erin**\n\n| Year | Vacation days |\n| --- | --- |\n| 2017 | 26 |\n| 2018 | 34 |\n| 2019 | 26 |\n| 2020 | 34 |\n| 2021 | 28 |" } ] }, { "id": "17687", "image": "17687.png", "conversations": [ { "from": "human", "question": "A bagel wholesaler examined the bagel sales of each of the retail stores that it served. How many more bagels did Jimmy's Bagels sell than Westside Bagels?\n" }, { "from": "gpt", "solution": "Add the numbers in the Jimmy's Bagels row. Then, add the numbers in the Westside Bagels row.\n\nJimmy's Bagels: 8 + 16 = 24\nWestside Bagels: 11 + 2 = 13\n\nNow subtract:\n\n24 − 13 = 11\n\nJimmy's Bagels sold 11 more bagels than Westside Bagels.", "answer": "11", "table": "**Bagel sales**\n\n| Shop | Onion bagels | Blueberry bagels |\n| --- | --- | --- |\n| New York Bagels | 6 | 6 |\n| Westside Bagels | 11 | 2 |\n| Downtown Bagels | 7 | 17 |\n| Jimmy's Bagels | 8 | 16 |" } ] }, { "id": "17691", "image": "17691.png", "conversations": [ { "from": "human", "question": "How much money does Emily need to buy 7 piccolos?\n" }, { "from": "gpt", "solution": "Find the total cost of 7 piccolos by multiplying 7 times the price of a piccolo.\n\n$596 × 7 = $4,172\n\nEmily needs $4,172.", "answer": "4,172", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| clarinet | $699 |\n| oboe | $847 |\n| guitar | $667 |\n| piccolo | $596 |\n| saxophone | $737 |" } ] }, { "id": "17694", "image": "17694.png", "conversations": [ { "from": "human", "question": "Each garage has 2 ladders. How many ladders are in 4 garages?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 8 ladders in 4 garages.", "answer": "8", "table": "| Number of garages | Number of ladders |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | 6 |\n| 4 | ? |" } ] }, { "id": "17696", "image": "17696.png", "conversations": [ { "from": "human", "question": "How much would it cost to buy 3 pounds of rainbow paper scrap?\n" }, { "from": "gpt", "solution": "Find the cost of the rainbow paper scrap. Multiply the price per pound by the number of pounds.\n\n$12 × 3 = $36\n\nIt would cost $36.", "answer": "36", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| rainbow paper scrap | $12/pound |\n| silver paper scrap | $11/pound |\n| red paper scrap | $10/pound |\n| blue paper scrap | $12/pound |\n| gold paper scrap | $11/pound |" } ] }, { "id": "17698", "image": "17698.png", "conversations": [ { "from": "human", "question": "Josiah has $1.00. Does he have enough to buy a package of confetti and a noisemaker?\n" }, { "from": "gpt", "solution": "Add the price of a package of confetti and the price of a noisemaker:\n\n$0.15 + $0.81 = $0.96\n\n$0.96 is less than $1.00. Josiah does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| red balloon | $0.41 |\n| greeting card | $0.89 |\n| bouncy ball | $0.60 |\n| package of confetti | $0.15 |\n| noisemaker | $0.81 |\n| package of purple streamers | $0.61 |" } ] }, { "id": "17701", "image": "17701.png", "conversations": [ { "from": "human", "question": "Arlington will decide whether to extend its public pool's hours by looking at the number of times its residents visited the pool last month. How many people went swimming at least 2 times?\n" }, { "from": "gpt", "solution": "Find the rows for 2, 3, 4, and 5 times. Add the frequencies for these rows.\n\nAdd:\n\n8 + 3 + 16 + 7 = 34\n\n34 people went swimming at least 2 times.", "answer": "34", "table": "**Going swimming last month**\n\n| Number of times | Frequency |\n| --- | --- |\n| 1 | 4 |\n| 2 | 8 |\n| 3 | 3 |\n| 4 | 16 |\n| 5 | 7 |" } ] }, { "id": "17726", "image": "17726.png", "conversations": [ { "from": "human", "question": "The aquarium's records showed how many tickets were sold in the past 5 days. How many tickets did the aquarium sell in all on Sunday and Tuesday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nSunday: 1,190\nTuesday: 2,561\n\nNow add: 1,190 + 2,561 = 3,751.\n\nThe aquarium sold 3,751 tickets in all on Sunday and Tuesday.", "answer": "3,751", "table": "**Tickets sold**\n\n| Day | Number of tickets |\n| --- | --- |\n| Saturday | 3,347 |\n| Sunday | 1,190 |\n| Monday | 4,072 |\n| Tuesday | 2,561 |\n| Wednesday | 4,513 |" } ] }, { "id": "17740", "image": "17740.png", "conversations": [ { "from": "human", "question": "Kamal's Candies has been studying how much chocolate people have been eating in different countries. How much more chocolate did Belgium consume per capita in 2005 than in 2002?\n" }, { "from": "gpt", "solution": "Find the Belgium row. Find the numbers in this row for 2005 and 2002.\n\n2005: 11\n2002: 8\n\nNow subtract:\n\n11 − 8 = 3\n\nBelgium consumed 3 kilograms more chocolate per capita in 2005 than in 2002.", "answer": "3", "table": "**Chocolate consumption per capita (kg)**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 2002 | 2005 |\n| Belgium | 8 | 11 |\n| Denmark | 9 | 8 |\n| Australia | 4 | 5 |" } ] }, { "id": "17744", "image": "17744.png", "conversations": [ { "from": "human", "question": "How much more does a centrifuge cost than a laboratory freezer?\n" }, { "from": "gpt", "solution": "Subtract the price of a laboratory freezer from the price of a centrifuge.\n\n$5,537 - $2,483 = $3,054\n\nA centrifuge costs $3,054 more than a laboratory freezer.", "answer": "3,054", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| autoclave | $7,096 |\n| centrifuge | $5,537 |\n| precision balance | $3,003 |\n| telescope | $7,726 |\n| laboratory freezer | $2,483 |\n| microscope | $6,990 |" } ] }, { "id": "17752", "image": "17752.png", "conversations": [ { "from": "human", "question": "Professor Acosta released the results of yesterday's pop quiz. How many students scored at least 26 points but fewer than 51 points?\n" }, { "from": "gpt", "solution": "Find the row with stem 2. Count all the leaves greater than or equal to 6.\n\nCount all the leaves in the rows with stems 3 and 4.\n\nIn the row with stem 5, count all the leaves less than 1.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plots above. 2 students scored at least 26 points but fewer than 51 points.", "answer": "2", "table": "**Pop quiz scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 1 |\n| 3 | 0 |\n| 4 | 0 |\n| 5 | 2 |\n| 6 | 0, 4, 5, 6, 7 |\n| 7 | 0, 1, 3, 9 |" } ] }, { "id": "17755", "image": "17755.png", "conversations": [ { "from": "human", "question": "Sasha has $15.00. Does she have enough to buy a glass measuring cup and a mixing bowl?\n" }, { "from": "gpt", "solution": "Add the price of a glass measuring cup and the price of a mixing bowl:\n\n$9.00 + $5.00 = $14.00\n\n$14.00 is less than $15.00. Sasha does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| glass measuring cup | $9.00 |\n| mixing bowl | $5.00 |\n| cookie jar | $7.00 |\n| ice cream scoop | $9.00 |\n| rolling pin | $6.00 |" } ] }, { "id": "17766", "image": "17766.png", "conversations": [ { "from": "human", "question": "Each pile has 10 books. How many books are in 3 piles?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 30 books in 3 piles.", "answer": "30", "table": "| Number of piles | Number of books |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | ? |" } ] }, { "id": "17767", "image": "17767.png", "conversations": [ { "from": "human", "question": "Look at Teresa's pay stub. Teresa lives in a state that has state income tax. How much did Teresa make after taxes?\n" }, { "from": "gpt", "solution": "Find how much Teresa made after taxes. Find the total payroll tax, then subtract it from the total earnings.\nTo find the total payroll tax, add the federal income tax, state income tax, and other taxes.\nThe total earnings are $1,800.00. The total payroll tax is $498.70. Subtract to find the difference.\n$1,800.00 - $498.70 = $1,301.30\nTeresa made $1,301.30 after taxes.", "answer": "1,301.30", "table": "| Employee | Pay period | |\n| --- | --- | --- |\n| Teresa Waters | February 1-15 | |\n| Total earnings | | $1,800.00 |\n| Federal income tax | $220.00 | |\n| State income tax | $141.00 | |\n| Other taxes | $137.70 | |\n| Total taxes | | ? |\n| Pay after taxes | | ? |" } ] }, { "id": "17771", "image": "17771.png", "conversations": [ { "from": "human", "question": "An archer recalled how many times he hit the bull's-eye in the past 7 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 8, 8, 10, 3, 5, 2\n\nFirst, find the greatest number. The greatest number is 10.\n\nNext, find the least number. The least number is 2.\n\nSubtract the least number from the greatest number:\n\n10 − 2 = 8\n\nThe range is 8.", "answer": "8", "table": "**Bull's-eyes**\n\n| Day | Number of bull's-eyes |\n| --- | --- |\n| Saturday | 9 |\n| Sunday | 8 |\n| Monday | 8 |\n| Tuesday | 10 |\n| Wednesday | 3 |\n| Thursday | 5 |\n| Friday | 2 |" } ] }, { "id": "17773", "image": "17773.png", "conversations": [ { "from": "human", "question": "At a candy factory, butterscotch candies were packaged into bags of different sizes. How many bags had at least 50 butterscotch candies?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 5, 6, 7, 8, and 9.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 bags had at least 50 butterscotch candies.", "answer": "2", "table": "**Butterscotch candies per bag**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 0 |\n| 3 | 6 |\n| 4 | 0, 2 |\n| 5 | |\n| 6 | |\n| 7 | |\n| 8 | 8 |\n| 9 | 0 |" } ] }, { "id": "17774", "image": "17774.png", "conversations": [ { "from": "human", "question": "A farm equipment company kept a record of the number of tractors made each month. In which month did the company make the most tractors?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 375.\n\nNow find the corresponding month. September corresponds to 375.", "answer": "September", "table": "**Tractors made**\n\n| Month | Number of tractors |\n| --- | --- |\n| July | 353 |\n| August | 332 |\n| September | 375 |\n| October | 357 |" } ] }, { "id": "17778", "image": "17778.png", "conversations": [ { "from": "human", "question": "How much money does Carson need to buy an orange marker and a mechanical pencil?\n" }, { "from": "gpt", "solution": "Add the price of an orange marker and the price of a mechanical pencil:\n\n$0.21 + $0.11 = $0.32\n\nCarson needs $0.32.", "answer": "0.32", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| orange marker | $0.21 |\n| glue stick | $0.94 |\n| thin green highlighter | $0.51 |\n| mechanical pencil | $0.11 |\n| package of crayons | $0.97 |\n| thick black marker | $0.34 |" } ] }, { "id": "17780", "image": "17780.png", "conversations": [ { "from": "human", "question": "Mrs. Doyle, the science teacher, informed her students of their scores on Monday's test. How many students scored exactly 84 points?\n" }, { "from": "gpt", "solution": "For the number 84, the stem is 8, and the leaf is 4. Find the row where the stem is 8. In that row, count all the leaves equal to 4.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 students scored exactly 84 points.", "answer": "2", "table": "**Science test scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 3 |\n| 2 | 5 |\n| 3 | 1 |\n| 4 | 0, 6, 8, 9 |\n| 5 | 0, 4, 4, 5, 6 |\n| 6 | 5 |\n| 7 | |\n| 8 | 4, 4, 7 |\n| 9 | 0 |" } ] }, { "id": "17781", "image": "17781.png", "conversations": [ { "from": "human", "question": "A newspaper researched how many grocery stores there are in each town. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n4, 4, 8, 5, 7, 3, 5\n\nFirst, arrange the numbers from least to greatest:\n\n3, 4, 4, 5, 5, 7, 8\n\nNow find the number in the middle.\n\n3, 4, 4, 5, 5, 7, 8\n\nThe number in the middle is 5.\n\nThe median is 5.", "answer": "5", "table": "**Grocery stores in each town**\n\n| Town | Number of stores |\n| --- | --- |\n| Chesterton | 4 |\n| Greenwood | 4 |\n| Ashland | 8 |\n| Watertown | 5 |\n| Marion | 7 |\n| Richmond | 3 |\n| Springfield | 5 |" } ] }, { "id": "17784", "image": "17784.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Jaylen is at the history museum. If he wants to arrive at the shopping district at 1.00 P.M., what time should he get on the train?\n" }, { "from": "gpt", "solution": "Look at the row for the shopping district. Find the train that arrives at the shopping district at 1:00 P. M.\n\nLook up the column until you find the row for the history museum.\n\nJaylen should get on the train at 11:00 A. M.", "answer": "11:00 A.M.", "table": "**Subway train schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 | Column 5 | Column 6 |\n| --- | --- | --- | --- | --- | --- |\n| university | 9:15 A.M. | 9:30 A.M. | 9:45 A.M. | 10:00 A.M. | 10:15 A.M. |\n| baseball stadium | 10:15 A.M. | 10:30 A.M. | 10:45 A.M. | 11:00 A.M. | 11:15 A.M. |\n| history museum | 11:00 A.M. | 11:15 A.M. | 11:30 A.M. | 11:45 A.M. | 12:00 P.M. |\n| civic center | 11:45 A.M. | 12:00 P.M. | 12:15 P.M. | 12:30 P.M. | 12:45 P.M. |\n| art gallery district | 12:30 P.M. | 12:45 P.M. | 1:00 P.M. | 1:15 P.M. | 1:30 P.M. |\n| shopping district | 1:00 P.M. | 1:15 P.M. | 1:30 P.M. | 1:45 P.M. | 2:00 P.M. |" } ] }, { "id": "17786", "image": "17786.png", "conversations": [ { "from": "human", "question": "After a field trip to the park, students in Mrs. Haley's art class counted the number of leaf rubbings they had made. How many students made at least 5 leaf rubbings?\n" }, { "from": "gpt", "solution": "Find the rows for 5 and 6 leaf rubbings. Add the frequencies for these rows.\n\nAdd:\n\n9 + 16 = 25\n\n25 students made at least 5 leaf rubbings.", "answer": "25", "table": "**Making leaf rubbings**\n\n| Leaf rubbings made | Frequency |\n| --- | --- |\n| 0 | 18 |\n| 1 | 5 |\n| 2 | 6 |\n| 3 | 7 |\n| 4 | 17 |\n| 5 | 9 |\n| 6 | 16 |" } ] }, { "id": "17795", "image": "17795.png", "conversations": [ { "from": "human", "question": "Miss Dudley ran a sit-up competition among her P.E. students and monitored how many sit-ups each students could do. How many people did exactly 29 sit-ups?\n" }, { "from": "gpt", "solution": "For the number 29, the stem is 2, and the leaf is 9. Find the row where the stem is 2. In that row, count all the leaves equal to 9.\n\nYou counted 1 leaf, which is blue in the stem-and-leaf plot above. 1 person did exactly29 sit-ups.", "answer": "1", "table": "**Sit-up competition (number of sit-ups)**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 9 |\n| 3 | 1, 5 |\n| 4 | 2, 5, 8 |\n| 5 | 0, 3, 5, 6, 8 |\n| 6 | 0, 2, 3, 4, 7, 8 |" } ] }, { "id": "17796", "image": "17796.png", "conversations": [ { "from": "human", "question": "How much money does Jon need to buy a pale purple note card and a bright blue note card?\n" }, { "from": "gpt", "solution": "Add the price of a pale purple note card and the price of a bright blue note card:\n\n$0.24 + $0.11 = $0.35\n\nJon needs $0.35.", "answer": "0.35", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pale purple note card | $0.24 |\n| piece of elegant stationery | $0.56 |\n| white note card | $0.24 |\n| bright blue note card | $0.11 |" } ] }, { "id": "17803", "image": "17803.png", "conversations": [ { "from": "human", "question": "The Dover Ski Resort asked its guests how many times they went sledding last winter. How many guests went sledding fewer than 2 times?\n" }, { "from": "gpt", "solution": "Find the rows for 0 and 1 time. Add the frequencies for these rows.\n\nAdd:\n\n1 + 13 = 14\n\n14 guests went sledding fewer than 2 times.", "answer": "14", "table": "**Sledding last winter**\n\n| Number of times | Frequency |\n| --- | --- |\n| 0 | 1 |\n| 1 | 13 |\n| 2 | 0 |\n| 3 | 5 |" } ] }, { "id": "17809", "image": "17809.png", "conversations": [ { "from": "human", "question": "Allie is a sandwich maker at a local deli. Last week, she tracked the number of peanut butter and jelly sandwiches ordered, noting the flavor of jelly and type of peanut butter requested. What is the probability that a randomly selected sandwich was made with chunky peanut butter and strawberry jelly? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the sandwich was made with chunky peanut butter\" and B be the event \"the sandwich was made with strawberry jelly\".\nTo find the probability that a sandwich was made with chunky peanut butter and strawberry jelly, first identify the sample space and the event.\nThe outcomes in the sample space are the different sandwiches. Each sandwich is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the sandwich was made with chunky peanut butter and strawberry jelly\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the sandwich was made with chunky peanut butter and strawberry jelly\", so look at the table to see how many sandwiches were made with chunky peanut butter and strawberry jelly.\nThe number of sandwiches that were made with chunky peanut butter and strawberry jelly is 3.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of sandwiches.\n3 + 3 + 3 + 3 = 12\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{3}{12}\n = \\frac{1}{4}\nThe probability that a sandwich was made with chunky peanut butter and strawberry jelly is \\frac{1}{4}.", "answer": "1/4", "table": "| | Strawberry jelly | Grape jelly |\n| --- | --- | --- |\n| Creamy peanut butter | 3 | 3 |\n| Chunky peanut butter | 3 | 3 |" } ] }, { "id": "17813", "image": "17813.png", "conversations": [ { "from": "human", "question": "A concession stand worker at the movie theater looked up how many bags of popcorn were sold in the past 3 days. How many more bags of popcorn did the movie theater sell on Tuesday than on Wednesday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nTuesday: 734\nWednesday: 326\n\nNow subtract: 734 - 326 = 408.\n\nThe movie theater sold 408 more bags of popcorn on Tuesday.", "answer": "408", "table": "**Bags of popcorn sold**\n\n| Day | Number of bags of popcorn |\n| --- | --- |\n| Tuesday | 734 |\n| Wednesday | 326 |\n| Thursday | 611 |" } ] }, { "id": "17818", "image": "17818.png", "conversations": [ { "from": "human", "question": "A toy store employee counted the number of toys in each bin in the sale section. What is the largest number of toys?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 9.\n\nNow find the highest leaf in the last row. The highest leaf is 0.\n\nThe largest number of toys has a stem of 9 and a leaf of 0. Write the stem first, then the leaf: 90.\n\nThe largest number of toys is 90 toys.", "answer": "90", "table": "**Toys per bin**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1 |\n| 2 | 5 |\n| 3 | 9 |\n| 4 | 4, 8 |\n| 5 | 6 |\n| 6 | 0, 2, 2, 3, 4, 6, 9 |\n| 7 | |\n| 8 | 2 |\n| 9 | 0 |" } ] }, { "id": "17825", "image": "17825.png", "conversations": [ { "from": "human", "question": "Mrs. Freeman kept track of her students' scores on last year's final exam. What is the highest score?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 9.\n\nNow find the highest leaf in the last row. The highest leaf is 0.\n\nThe highest score has a stem of 9 and a leaf of 0. Write the stem first, then the leaf: 90.\n\nThe highest score is 90 points.", "answer": "90", "table": "**Final exam scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 5 |\n| 2 | 2 |\n| 3 | 9 |\n| 4 | |\n| 5 | 2 |\n| 6 | 4 |\n| 7 | 1, 6 |\n| 8 | 7 |\n| 9 | 0 |" } ] }, { "id": "17831", "image": "17831.png", "conversations": [ { "from": "human", "question": "The school district compared how many swings each elementary school has. Which school has the most swings?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 19.\n\nNow find the corresponding school. Sierra Elementary corresponds to 19.", "answer": "Sierra Elementary", "table": "**Swings**\n\n| School | Number of swings |\n| --- | --- |\n| Sierra Elementary | 19 |\n| Hillside Elementary | 12 |\n| Boyd Elementary | 14 |\n| Newberry Elementary | 18 |" } ] }, { "id": "17843", "image": "17843.png", "conversations": [ { "from": "human", "question": "In a study on public parking, the director of transportation counted the number of cars in each of the city's parking lots. What is the smallest number of cars?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 1.\n\nNow find the lowest leaf in the first row. The lowest leaf is 4.\n\nThe smallest number of cars has a stem of 1 and a leaf of 4. Write the stem first, then the leaf: 14.\n\nThe smallest number of cars is 14 cars.", "answer": "14", "table": "**Cars per parking lot**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 4 |\n| 2 | 2 |\n| 3 | 1, 4, 4, 7 |\n| 4 | 0, 1 |\n| 5 | 7 |\n| 6 | 0, 1, 2 |\n| 7 | |\n| 8 | 9 |" } ] }, { "id": "17844", "image": "17844.png", "conversations": [ { "from": "human", "question": "Justin wrote down how many cups of lemonade he sold in the past 4 days. How many cups in total did the lemonade stand sell on Tuesday and Friday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nTuesday: 813\nFriday: 755\n\nNow add: 813 + 755 = 1,568.\n\nThe lemonade stand sold 1,568 cups on Tuesday and Friday.", "answer": "1,568", "table": "**Cups of lemonade sold**\n\n| Day | Number of cups |\n| --- | --- |\n| Tuesday | 813 |\n| Wednesday | 498 |\n| Thursday | 274 |\n| Friday | 755 |" } ] }, { "id": "17851", "image": "17851.png", "conversations": [ { "from": "human", "question": "While hanging Christmas lights for neighbors, Paul counted the number of broken lights on each string. How many strings had at least 10 broken lights but less than 20 broken lights?\n" }, { "from": "gpt", "solution": "Count all the leaves in the row with stem 1.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 strings had at least 10 broken lights but less than 20 broken lights.", "answer": "3", "table": "**Broken lights per string**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 4, 8, 8 |\n| 2 | 8 |\n| 3 | 2, 4, 5 |\n| 4 | 1, 3, 7 |\n| 5 | 3, 7, 9 |\n| 6 | 9 |\n| 7 | 5, 6 |" } ] }, { "id": "17857", "image": "17857.png", "conversations": [ { "from": "human", "question": "Some pizza restaurants compared their pizza sales. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n50, 50, 59, 58, 50, 59, 56, 56\n\nFirst, arrange the numbers from least to greatest:\n\n50, 50, 50, 56, 56, 58, 59, 59\n\nNow count how many times each number appears.\n\n50 appears 3 times.\n56 appears 2 times.\n58 appears 1 time.\n59 appears 2 times.\n\nThe number that appears most often is 50.\n\nThe mode is 50.", "answer": "50", "table": "**Pizza slices sold**\n\n| Restaurant | Number of slices sold |\n| --- | --- |\n| Pizza Italia | 50 |\n| Taste of New York | 50 |\n| Pizzeria Italiano | 59 |\n| Pizza, Pasta and More | 58 |\n| The Real Chicago | 50 |\n| Deep Dish by Dan | 59 |\n| The Big Cheese | 56 |\n| Antonio's Pizzeria | 56 |" } ] }, { "id": "17860", "image": "17860.png", "conversations": [ { "from": "human", "question": "A girl compared the ages of her cousins. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 3, 6, 10, 9, 10, 7, 4\n\nFirst, find the greatest number. The greatest number is 10.\n\nNext, find the least number. The least number is 3.\n\nSubtract the least number from the greatest number:\n\n10 − 3 = 7\n\nThe range is 7.", "answer": "7", "table": "**Ages of cousins**\n\n| Name | Age (years) |\n| --- | --- |\n| Aubrey | 9 |\n| Sandra | 3 |\n| Ruben | 6 |\n| Vivian | 10 |\n| Frank | 9 |\n| Jaylen | 10 |\n| Mackenzie | 7 |\n| Brennan | 4 |" } ] }, { "id": "17866", "image": "17866.png", "conversations": [ { "from": "human", "question": "This is Kira's complete financial record for April. How much money did Kira spend on a bag of jellybeans?\n" }, { "from": "gpt", "solution": "Look at the bag of jellybeans row. The expenses were $4.15. So, Kira spent $4.15 on a bag of jellybeans.\n", "answer": "4.15", "table": "| Date | Description | Received | Expenses | Available Funds |\n| --- | --- | --- | --- | --- |\n| | Balance: end of March | | | $461.80 |\n| 4/7 | bag of jellybeans | | $4.15 | $457.65 |\n| 4/14 | helping Mr. Floyd | $20.00 | | $477.65 |\n| 4/23 | umbrella | | $12.65 | $465.00 |" } ] }, { "id": "17867", "image": "17867.png", "conversations": [ { "from": "human", "question": "How much more does an emerald ring cost than a ruby necklace?\n" }, { "from": "gpt", "solution": "Subtract the price of a ruby necklace from the price of an emerald ring.\n\n$4,297.00 - $3,528.00 = $769.00\n\nAn emerald ring costs $769.00 more than a ruby necklace.", "answer": "769", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| opal ring | $2,930.00 |\n| emerald pendant | $4,907.00 |\n| emerald ring | $4,297.00 |\n| diamond bracelet | $4,940.00 |\n| opal pendant | $4,678.00 |\n| ruby necklace | $3,528.00 |" } ] }, { "id": "17868", "image": "17868.png", "conversations": [ { "from": "human", "question": "A customer at a sushi restaurant was examining the types of sushi rolls offered on the menu. Rolls vary by type of fish and level of spiciness. Rolls only contain one type of fish. What is the probability that a randomly selected sushi roll contains yellowtail and is labeled not spicy? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the sushi roll contains yellowtail\" and B be the event \"the sushi roll is labeled not spicy\".\nTo find the probability that a sushi roll contains yellowtail and is labeled not spicy, first identify the sample space and the event.\nThe outcomes in the sample space are the different sushi rolls. Each sushi roll is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the sushi roll contains yellowtail and is labeled not spicy\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the sushi roll contains yellowtail and is labeled not spicy\", so look at the table to see how many sushi rolls contain yellowtail and are labeled not spicy.\nThe number of sushi rolls that contain yellowtail and are labeled not spicy is 7.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of sushi rolls.\n7 + 2 + 3 + 5 = 17\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{7}{17}\nThe probability that a sushi roll contains yellowtail and is labeled not spicy is \\frac{7}{17}.", "answer": "7/17", "table": "| | Not spicy | A little spicy |\n| --- | --- | --- |\n| Yellowtail | 7 | 3 |\n| Salmon | 2 | 5 |" } ] }, { "id": "17875", "image": "17875.png", "conversations": [ { "from": "human", "question": "An economist tracked the amount of per-capita aid sent from the U.S. to various countries during the 1900s. Per capita, how much more aid did Algeria receive in 1995 than in 1985?\n" }, { "from": "gpt", "solution": "Find the Algeria row. Find the numbers in this row for 1995 and 1985.\n\n1995: $11.00\n1985: $8.00\n\nNow subtract:\n\n$11.00 − $8.00 = $3.00\n\nPer capita, Algeria received $3 more in aid in 1995 than in 1985.", "answer": "3", "table": "**Aid received per capita from the U.S.**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 1985 | 1995 |\n| Afghanistan | $1 | $10 |\n| Algeria | $8 | $11 |\n| Libya | $1 | $1 |" } ] }, { "id": "17877", "image": "17877.png", "conversations": [ { "from": "human", "question": "Some pizza restaurants compared their pizza sales. Which restaurant sold the most pizza slices?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 76.\n\nNow find the corresponding restaurant. New York Slice corresponds to 76.", "answer": "New York Slice", "table": "**Pizza slices sold**\n\n| Restaurant | Number of slices sold |\n| --- | --- |\n| New York Slice | 76 |\n| Mario's Pizzeria | 70 |\n| The Big Cheese | 72 |\n| Antonio's Pizzeria | 71 |" } ] }, { "id": "17886", "image": "17886.png", "conversations": [ { "from": "human", "question": "Levi just returned from a spring break volunteer trip. He is shopping for a photo album that will showcase his photos from the trip. The albums range in photo capacity and orientation. What is the probability that a randomly selected photo album holds exactly 100 photos and is oriented horizontally? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the photo album holds exactly100 photos\" and B be the event \"the photo album is oriented horizontally\".\nTo find the probability that a photo album holds exactly100 photos and is oriented horizontally, first identify the sample space and the event.\nThe outcomes in the sample space are the different photo albums. Each photo album is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the photo album holds exactly100 photos and is oriented horizontally\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the photo album holds exactly100 photos and is oriented horizontally\", so look at the table to see how many photo albums hold exactly100 photos and are oriented horizontally.\nThe number of photo albums that hold exactly100 photos and are oriented horizontally is 3.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of photo albums.\n5 + 3 + 6 + 5 = 19\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{3}{19}\nThe probability that a photo album holds exactly100 photos and is oriented horizontally is \\frac{3}{19}.", "answer": "3/19", "table": "| | Horizontally | Vertically |\n| --- | --- | --- |\n| 50 photos | 5 | 6 |\n| 100 photos | 3 | 5 |" } ] }, { "id": "17887", "image": "17887.png", "conversations": [ { "from": "human", "question": "Sharon has $567. Does she have enough to buy a night's stay at Crescent Motel and a night's stay at Grand Mountain Inn?\n" }, { "from": "gpt", "solution": "Add the price of a night's stay at Crescent Motel and the price of a night's stay at Grand Mountain Inn:\n\n$156 + $433 = $589\n\n$589 is more than $567. Sharon does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| night's stay at Hotel Marie | $428 |\n| night's stay at Liberty Bed and Breakfast | $464 |\n| night's stay at Royal Canopy Resort | $224 |\n| night's stay at Crescent Motel | $156 |\n| night's stay at Grand Mountain Inn | $433 |" } ] }, { "id": "17891", "image": "17891.png", "conversations": [ { "from": "human", "question": "How much money does Ryan need to buy a kinkajou and 3 cockatiels?\n" }, { "from": "gpt", "solution": "Find the cost of 3 cockatiels.\n\n$1,070.00 × 3 = $3,210.00\n\nNow find the total cost.\n\n$2,241.00 + $3,210.00 = $5,451.00\n\nRyan needs $5,451.00.", "answer": "5,451", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| kinkajou | $2,241.00 |\n| alpaca | $3,558.00 |\n| cockatiel | $1,070.00 |\n| llama | $2,673.00 |\n| macaw | $6,125.00 |" } ] }, { "id": "17894", "image": "17894.png", "conversations": [ { "from": "human", "question": "Cora, who has five different fruit trees growing in her yard, kept track of how many pieces of fruit she picked this year. What fraction of the pieces of fruit picked were pears? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many pears were picked.\n\n10\n\nFind how many pieces of fruit were picked in total.\n\n10 + 41 + 89 + 42 + 70 = 252\n\nDivide 10 by252.\n\n\\frac{10}{252}\n\nReduce the fraction.\n\n\\frac{10}{252} → \\frac{5}{126}\n\n\\frac{5}{126} of pears were picked.", "answer": "5/126", "table": "**Pieces of fruit picked**\n\n| Fruits | Pieces of fruit |\n| --- | --- |\n| Pears | 10 |\n| Nectarines | 41 |\n| Apricots | 89 |\n| Plums | 42 |\n| Lemons | 70 |" } ] }, { "id": "17900", "image": "17900.png", "conversations": [ { "from": "human", "question": "A food magazine published a listing of local restaurant ratings. What is the highest rating?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 5.\n\nNow find the highest leaf in the last row. The highest leaf is 0.\n\nThe highest rating has a stem of 5 and a leaf of 0. Write the stem first, then the leaf: 50.\n\nThe highest rating is 50 points.", "answer": "50", "table": "**Restaurant ratings**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 8, 9 |\n| 3 | 0, 1, 5, 8, 9 |\n| 4 | 0, 1, 3, 4, 6, 7 |\n| 5 | 0 |" } ] }, { "id": "17909", "image": "17909.png", "conversations": [ { "from": "human", "question": "A baseball player paid attention to how many baseballs he hit in practice each day. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n4, 7, 2, 4, 2\n\nFirst, arrange the numbers from least to greatest:\n\n2, 2, 4, 4, 7\n\nNow find the number in the middle.\n\n2, 2, 4, 4, 7\n\nThe number in the middle is 4.\n\nThe median is 4.", "answer": "4", "table": "**Baseballs hit**\n\n| Day | Number of baseballs |\n| --- | --- |\n| Friday | 4 |\n| Saturday | 7 |\n| Sunday | 2 |\n| Monday | 4 |\n| Tuesday | 2 |" } ] }, { "id": "17916", "image": "17916.png", "conversations": [ { "from": "human", "question": "Mr. Castro, the English teacher, had his students track the number of books they read last month. How many students read fewer than 2 books last month?\n" }, { "from": "gpt", "solution": "Find the rows for 0 and 1 book last month. Add the frequencies for these rows.\n\nAdd:\n\n16 + 15 = 31\n\n31 students read fewer than 2 books last month.", "answer": "31", "table": "**Reading books last month**\n\n| Books read | Frequency |\n| --- | --- |\n| 0 | 16 |\n| 1 | 15 |\n| 2 | 18 |\n| 3 | 13 |\n| 4 | 2 |\n| 5 | 1 |\n| 6 | 0 |" } ] }, { "id": "17917", "image": "17917.png", "conversations": [ { "from": "human", "question": "Students at Summerfield Middle School wrote and submitted poems for a district-wide writing contest. How many students wrote more than 2 poems?\n" }, { "from": "gpt", "solution": "Find the rows for 3 and 4 poems. Add the frequencies for these rows.\n\nAdd:\n\n17 + 14 = 31\n\n31 students wrote more than 2 poems.", "answer": "31", "table": "**Writing poems**\n\n| Poems written | Frequency |\n| --- | --- |\n| 1 | 2 |\n| 2 | 9 |\n| 3 | 17 |\n| 4 | 14 |" } ] }, { "id": "17929", "image": "17929.png", "conversations": [ { "from": "human", "question": "At Castroville Consulting, the head of human resources examined how the number of employees with health care benefits varied in response to policy changes. According to the table, what was the rate of change between 2016 and 2017?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{20 employees - 35 employees}{2017 - 2016}\n = \\frac{20 employees - 35 employees}{1 year}\n = \\frac{-15 employees}{1 year}\n = -15 employees per year\nThe rate of change between 2016 and 2017 was - 15 employees per year.", "answer": "-15", "table": "**Employees with health care benefits**\n\n| Year | Employees |\n| --- | --- |\n| 2014 | 34 |\n| 2015 | 37 |\n| 2016 | 35 |\n| 2017 | 20 |\n| 2018 | 4 |" } ] }, { "id": "17932", "image": "17932.png", "conversations": [ { "from": "human", "question": "A theme park developer recorded the number of people who visited the local water park last summer. How many people went to the water park fewer than 2 times?\n" }, { "from": "gpt", "solution": "Find the row for 1 time and read the frequency. The frequency is 15.\n\n15 people went to the water park fewer than 2 times.", "answer": "15", "table": "**Going to the water park last summer**\n\n| Number of trips | Frequency |\n| --- | --- |\n| 1 | 15 |\n| 2 | 4 |\n| 3 | 9 |\n| 4 | 12 |\n| 5 | 1 |" } ] }, { "id": "17933", "image": "17933.png", "conversations": [ { "from": "human", "question": "Roth has a collection of marbles of different sizes and colors. What is the probability that a randomly selected marble is big and red? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the marble is big\" and B be the event \"the marble is red\".\nTo find the probability that a marble is big and red, first identify the sample space and the event.\nThe outcomes in the sample space are the different marbles. Each marble is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the marble is big and red\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the marble is big and red\", so look at the table to see how many marbles are big and red.\nThe number of marbles that are big and red is 5.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of marbles.\n5 + 4 + 5 + 2 = 16\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{5}{16}\nThe probability that a marble is big and red is \\frac{5}{16}.", "answer": "5/16", "table": "| | Red | Green |\n| --- | --- | --- |\n| Big | 5 | 5 |\n| Small | 4 | 2 |" } ] }, { "id": "17934", "image": "17934.png", "conversations": [ { "from": "human", "question": "Lauren went to the store. She bought 4 pounds of sunflower seeds and 3 pounds of soybeans. How much did she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the sunflower seeds. Multiply:\n\n$3 × 4 = $12\n\nFind the cost of the soybeans. Multiply:\n\n$4 × 3 = $12\n\nNow find the total cost by adding:\n\n$12 + $12 = $24\n\nShe spent $24.", "answer": "24", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| soybeans | $4/lb |\n| pumpkin seeds | $4/lb |\n| lentils | $4/lb |\n| sesame seeds | $7/lb |\n| sunflower seeds | $3/lb |" } ] }, { "id": "17949", "image": "17949.png", "conversations": [ { "from": "human", "question": "A drawing class was assigned a final project where students had to choose one art medium and one subject. The teacher kept track of the types of projects submitted. What is the probability that a randomly selected student used acrylic paint and chose to draw an insect? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the student used acrylic paint\" and B be the event \"the student chose to draw an insect\".\nTo find the probability that a student used acrylic paint and chose to draw an insect, first identify the sample space and the event.\nThe outcomes in the sample space are the different students. Each student is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the student used acrylic paint and chose to draw an insect\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the student used acrylic paint and chose to draw an insect\", so look at the table to see how many students used acrylic paint and chose to draw an insect.\nThe number of students who used acrylic paint and chose to draw an insect is 2.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of students.\n4 + 3 + 2 + 7 = 16\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{2}{16}\n = \\frac{1}{8}\nThe probability that a student used acrylic paint and chose to draw an insect is \\frac{1}{8}.", "answer": "1/8", "table": "| | A plant | An insect |\n| --- | --- | --- |\n| Acrylic paint | 4 | 2 |\n| Chalk | 3 | 7 |" } ] }, { "id": "17955", "image": "17955.png", "conversations": [ { "from": "human", "question": "Gavin bought 2+1/2 pounds of mint. How much did he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the mint. Multiply the price per pound by the number of pounds.\n$5 × 2\\frac{1}{2} = $5 × 2.5 = $12.50\nHe spent $12.50.", "answer": "12.50", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| sage | $5 per pound |\n| rosemary | $4 per pound |\n| mint | $5 per pound |\n| chamomile | $6 per pound |\n| parsley | $4 per pound |" } ] }, { "id": "17958", "image": "17958.png", "conversations": [ { "from": "human", "question": "Pablo has $730.00. How much money will Pablo have left if he buys a ticket for a Hawaiian cruise and a ticket for a South American cruise?\n" }, { "from": "gpt", "solution": "Find the total cost of a ticket for a Hawaiian cruise and a ticket for a South American cruise.\n\n$197.00 + $462.00 = $659.00\n\nNow subtract the total cost from the starting amount.\n\n$730.00 - $659.00 = $71.00\n\nPablo will have $71.00 left.", "answer": "71", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| ticket for a Mexican cruise | $116.00 |\n| ticket for a Mediterranean cruise | $811.00 |\n| ticket for an Atlantic cruise | $422.00 |\n| ticket for a Hawaiian cruise | $197.00 |\n| ticket for a Caribbean cruise | $509.00 |\n| ticket for a South American cruise | $462.00 |" } ] }, { "id": "17983", "image": "17983.png", "conversations": [ { "from": "human", "question": "The financial aid office at McDaniel University produced an internal report on the number of students receiving scholarships. According to the table, what was the rate of change between 2007 and 2008?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{20 students - 29 students}{2008 - 2007}\n = \\frac{20 students - 29 students}{1 year}\n = \\frac{-9 students}{1 year}\n = -9 students per year\nThe rate of change between 2007 and 2008 was - 9 students per year.", "answer": "-9", "table": "**Students receiving scholarships**\n\n| Year | Students |\n| --- | --- |\n| 2006 | 30 |\n| 2007 | 29 |\n| 2008 | 20 |\n| 2009 | 16 |\n| 2010 | 21 |" } ] }, { "id": "17988", "image": "17988.png", "conversations": [ { "from": "human", "question": "An agricultural agency is researching how much cheese people have been eating in different parts of the world. How much cheese was consumed per capita in Great Britain in 1996?\n" }, { "from": "gpt", "solution": "First, find the row for Great Britain. Then find the number in the 1996 column.\n\nThis number is 9. In 1996, people in Great Britain consumed 9 kilograms of cheese per capita.", "answer": "9", "table": "**Cheese consumption per capita (kg)**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 1996 | 2006 |\n| Great Britain | 9 | 10 |\n| Argentina | 11 | 11 |\n| Germany | 12 | 20 |\n| Australia | 10 | 10 |\n| Canada | 10 | 11 |" } ] }, { "id": "17989", "image": "17989.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which event begins at 10.50 A.M.?\n" }, { "from": "gpt", "solution": "Find 10:50 A. M. on the schedule. The softball game begins at 10:50 A. M.", "answer": "softball game", "table": "**School picnic schedule**\n\n| Event | Begin | End |\n| --- | --- | --- |\n| softball game | 10:50 A.M. | 11:45 A.M. |\n| pie-eating contest | 11:35 A.M. | 12:05 P.M. |\n| water balloon toss | 11:45 A.M. | 12:15 P.M. |\n| obstacle course | 12:00 P.M. | 12:30 P.M. |\n| swimming competition | 12:45 P.M. | 1:45 P.M. |\n| kickball game | 2:05 P.M. | 2:35 P.M. |\n| lunch | 2:40 P.M. | 3:20 P.M. |\n| soccer game | 3:10 P.M. | 3:45 P.M. |\n| dance competition | 3:25 P.M. | 4:10 P.M. |" } ] }, { "id": "17998", "image": "17998.png", "conversations": [ { "from": "human", "question": "Christina purchased 4 pounds of chai tea, 3 pounds of peppermint tea, and 1 pound of green tea. What was the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the chai tea. Multiply:\n\n$3.64 × 4 = $14.56\n\nFind the cost of the peppermint tea. Multiply:\n\n$1.97 × 3 = $5.91\n\nFind the cost of the green tea. Multiply:\n\n$3.62 × 1 = $3.62\n\nNow find the total cost by adding:\n\n$14.56 + $5.91 + $3.62 = $24.09\n\nThe total cost was $24.09.", "answer": "24.09", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| peppermint tea | $1.97/lb |\n| green tea | $3.62/lb |\n| chai tea | $3.64/lb |\n| chamomile tea | $4.67/lb |\n| pomegranate tea | $2.25/lb |\n| black tea | $2.65/lb |" } ] }, { "id": "18004", "image": "18004.png", "conversations": [ { "from": "human", "question": "Dirk has two dogs, Sprinkles and Champ. He is concerned because Sprinkles keeps eating Champ's food. Dirk asks their vet how much each dog's weight has changed since their last visit. Which dog's weight has changed the most?\n" }, { "from": "gpt", "solution": "To find which dog's weight changed the most, use absolute value. Absolute value tells you how much each dog's weight has changed.\nSprinkles: |5| = 5\nChamp: |-6| = 6\nChamp's weight has changed the most. He has lost 6 ounces.", "answer": "Champ", "table": "| Dog | Weight change (oz.) |\n| --- | --- |\n| Sprinkles | 5 |\n| Champ | -6 |" } ] }, { "id": "18008", "image": "18008.png", "conversations": [ { "from": "human", "question": "Look at this table. Is this relation a function?\n" }, { "from": "gpt", "solution": "Look at the x-values in the table.\n\nEach of the x-values is paired with only one y-value, so the relation is a function.", "answer": "yes", "table": "| x | y |\n| --- | --- |\n| 17 | 0 |\n| 10 | 11 |\n| 6 | 7 |" } ] }, { "id": "18020", "image": "18020.png", "conversations": [ { "from": "human", "question": "How much money does Annie need to buy a blue tank top and a denim skirt?\n" }, { "from": "gpt", "solution": "Add the price of a blue tank top and the price of a denim skirt:\n\n$3 + $6 = $9\n\nAnnie needs $9.", "answer": "9", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pair of shorts | $6 |\n| plaid scarf | $5 |\n| black skirt | $6 |\n| blue tank top | $3 |\n| denim skirt | $6 |\n| white polo shirt | $6 |" } ] }, { "id": "18024", "image": "18024.png", "conversations": [ { "from": "human", "question": "Some students compared how many pets they have. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n3, 1, 5, 2, 4, 6, 4, 2\n\nFirst, find the greatest number. The greatest number is 6.\n\nNext, find the least number. The least number is 1.\n\nSubtract the least number from the greatest number:\n\n6 − 1 = 5\n\nThe range is 5.", "answer": "5", "table": "**Pets**\n\n| Name | Number of pets |\n| --- | --- |\n| Desmond | 3 |\n| Rebecca | 1 |\n| Sofia | 5 |\n| Xavier | 2 |\n| Walter | 4 |\n| Ariel | 6 |\n| Cooper | 4 |\n| Bella | 2 |" } ] }, { "id": "18026", "image": "18026.png", "conversations": [ { "from": "human", "question": "An administrator at the Department of Motor Vehicles (DMV) tracked the average wait time from month to month. According to the table, what was the rate of change between June and July?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{49 minutes - 48 minutes}{1 month}\n = \\frac{1 minute}{1 month}\n = 1 minute per month\nThe rate of change between June and July was 1 minute per month.", "answer": "1", "table": "**Average waiting time at the DMV**\n\n| Month | Waiting time (minutes) |\n| --- | --- |\n| March | 43 |\n| April | 27 |\n| May | 21 |\n| June | 48 |\n| July | 49 |" } ] }, { "id": "18031", "image": "18031.png", "conversations": [ { "from": "human", "question": "Pamela has $1.94. How much money will Pamela have left if she buys a bottle of hand lotion and a barrette?\n" }, { "from": "gpt", "solution": "Find the total cost of a bottle of hand lotion and a barrette.\n\n$0.97 + $0.79 = $1.76\n\nNow subtract the total cost from the starting amount.\n\n$1.94 - $1.76 = $0.18\n\nPamela will have $0.18 left.", "answer": "0.18", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| barrette | $0.79 |\n| lip balm | $0.97 |\n| bottle of hand lotion | $0.97 |\n| sewing kit | $0.94 |\n| comb | $0.98 |" } ] }, { "id": "18034", "image": "18034.png", "conversations": [ { "from": "human", "question": "An economics student recorded the amount of per-capita aid that the U.S. gave to various countries during the 1900s. In 1980, how much more aid per capita did Pakistan receive than Libya?\n" }, { "from": "gpt", "solution": "Find the 1980 column. Find the numbers in this column for Pakistan and Libya.\n\nPakistan: $14.00\nLibya: $5.00\n\nNow subtract:\n\n$14.00 − $5.00 = $9.00\n\nIn 1980, Pakistan received $9 more aid per capita than Libya received.", "answer": "9", "table": "**Aid received per capita from the U.S.**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 1970 | 1980 |\n| Afghanistan | $2 | $2 |\n| Libya | $3 | $5 |\n| Algeria | $9 | $9 |\n| Pakistan | $7 | $14 |" } ] }, { "id": "18037", "image": "18037.png", "conversations": [ { "from": "human", "question": "Dr. Mitchell, a pediatrician, weighed all the children who recently visited her office. How many children weighed exactly 76 pounds?\n" }, { "from": "gpt", "solution": "For the number 76, the stem is 7, and the leaf is 6. Find the row where the stem is 7. In that row, count all the leaves equal to 6.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 children weighed exactly 76 pounds.", "answer": "3", "table": "**Children's weights (lbs)**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 4, 6 |\n| 5 | 5, 7 |\n| 6 | 0, 5, 6 |\n| 7 | 4, 6, 6, 6, 8 |\n| 8 | 1, 2, 5, 5, 7, 9 |\n| 9 | 0 |" } ] }, { "id": "18041", "image": "18041.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $545, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $545, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $455 | 20,200 | 2,900 |\n| $545 | 15,400 | 5,600 |\n| $635 | 10,600 | 8,300 |\n| $725 | 5,800 | 11,000 |\n| $815 | 1,000 | 13,700 |" } ] }, { "id": "18048", "image": "18048.png", "conversations": [ { "from": "human", "question": "What is the total cost for 5 pounds of hazelnuts?\n" }, { "from": "gpt", "solution": "Find the cost of the hazelnuts. Multiply the price per pound by the number of pounds.\n\n$10.29 × 5 = $51.45\n\nThe total cost is $51.45.", "answer": "51.45", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| almonds | $7.23 per lb |\n| hazelnuts | $10.29 per lb |\n| pecans | $4.77 per lb |\n| peanuts | $2.41 per lb |" } ] }, { "id": "18051", "image": "18051.png", "conversations": [ { "from": "human", "question": "Robert, who just won the election for student body president at Lakeside Middle School, tallied how many votes he received from each grade. What fraction of his votes were from the eighth grade? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many of his votes came from the eighth grade.\n\n200\n\nFind how many students voted for him in total.\n\n810 + 780 + 200 = 1,790\n\nDivide 200 by1,790.\n\n\\frac{200}{1,790}\n\nReduce the fraction.\n\n\\frac{200}{1,790} → \\frac{20}{179}\n\n\\frac{20}{179} of of his votes came from the eighth grade.", "answer": "20/179", "table": "**Vote breakdown**\n\n| Grade | Number of votes |\n| --- | --- |\n| Sixth grade | 810 |\n| Seventh grade | 780 |\n| Eighth grade | 200 |" } ] }, { "id": "18054", "image": "18054.png", "conversations": [ { "from": "human", "question": "Colton kept a driving log to see how many miles he drove each day. On which day did Colton drive the fewest miles?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 80.\n\nNow find the corresponding day. Tuesday corresponds to 80.", "answer": "Tuesday", "table": "**Miles driven**\n\n| Day | Number of miles |\n| --- | --- |\n| Tuesday | 80 |\n| Wednesday | 84 |\n| Thursday | 88 |\n| Friday | 81 |" } ] }, { "id": "18057", "image": "18057.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $950, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $950, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $550 | 21,500 | 1,900 |\n| $650 | 18,300 | 3,000 |\n| $750 | 15,100 | 4,100 |\n| $850 | 11,900 | 5,200 |\n| $950 | 8,700 | 6,300 |" } ] }, { "id": "18079", "image": "18079.png", "conversations": [ { "from": "human", "question": "Mrs. Murphy told students how many rounds to expect in the spelling bee based on previous years. According to the table, what was the rate of change between 2016 and 2017?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{18 rounds - 11 rounds}{2017 - 2016}\n = \\frac{18 rounds - 11 rounds}{1 year}\n = \\frac{7 rounds}{1 year}\n = 7 rounds per year\nThe rate of change between 2016 and 2017 was 7 rounds per year.", "answer": "7", "table": "**Rounds in the spelling bee**\n\n| Year | Rounds |\n| --- | --- |\n| 2015 | 18 |\n| 2016 | 11 |\n| 2017 | 18 |\n| 2018 | 14 |\n| 2019 | 12 |" } ] }, { "id": "18080", "image": "18080.png", "conversations": [ { "from": "human", "question": "The players on a quiz show received the following scores. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n2, 2, 6, 6, 2\n\nFirst, arrange the numbers from least to greatest:\n\n2, 2, 2, 6, 6\n\nNow count how many times each number appears.\n\n2 appears 3 times.\n6 appears 2 times.\n\nThe number that appears most often is 2.\n\nThe mode is 2.", "answer": "2", "table": "**Quiz show scores**\n\n| Name | Score |\n| --- | --- |\n| Malik | 2 |\n| Duncan | 2 |\n| Grace | 6 |\n| Nate | 6 |\n| Ian | 2 |" } ] }, { "id": "18082", "image": "18082.png", "conversations": [ { "from": "human", "question": "A transportation analyst compared various bridges' tolls. Of the bridges shown, which charges the least for a truck?\n" }, { "from": "gpt", "solution": "Look at the numbers in the Truck column. Find the least number in this column.\n\nThe least number is $4.00, which is in the Tacoma Narrows row. The Tacoma Narrows bridge charges the least for a truck.", "answer": "Tacoma Narrows", "table": "**Bridge tolls**\n\n| Bridge | Truck | Car |\n| --- | --- | --- |\n| Hatem | $10 | $5 |\n| Tacoma Narrows | $4 | $3 |\n| Golden Gate | $7 | $6 |" } ] }, { "id": "18086", "image": "18086.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does the train arrive at the grocery store?\n" }, { "from": "gpt", "solution": "Find the grocery store on the schedule. Find the arrival time for the grocery store.\n\ngrocery store: 12:00 P. M.", "answer": "12:00 P.M.", "table": "**Light rail train schedule**\n\n| Location | Time |\n| --- | --- |\n| university | 10:10 A.M. |\n| science museum | 10:40 A.M. |\n| art museum | 10:50 A.M. |\n| zoo | 11:05 A.M. |\n| basketball stadium | 11:35 A.M. |\n| grocery store | 12:00 P.M. |\n| city hall | 12:30 P.M. |\n| baseball stadium | 1:00 P.M. |" } ] }, { "id": "18087", "image": "18087.png", "conversations": [ { "from": "human", "question": "Juan's P.E. class participated in a push-up competition, and Juan wrote down how many push-ups each person could do. What is the largest number of push-ups done?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 8.\n\nNow find the highest leaf in the last row. The highest leaf is 4.\n\nThe largest number of push-ups done has a stem of 8 and a leaf of 4. Write the stem first, then the leaf: 84.\n\nThe largest number of push-ups done is 84 push-ups.", "answer": "84", "table": "**Push-up competition (number of push-ups)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1, 6, 7, 7 |\n| 2 | 0, 7 |\n| 3 | |\n| 4 | |\n| 5 | 5, 6, 9 |\n| 6 | |\n| 7 | 0, 1, 2 |\n| 8 | 3, 4 |" } ] }, { "id": "18090", "image": "18090.png", "conversations": [ { "from": "human", "question": "The staff of a game show tracked the performance of all the contestants during the past season. How many people scored at least 34 points but fewer than 54 points?\n" }, { "from": "gpt", "solution": "Find the row with stem 3. Count all the leaves greater than or equal to 4.\n\nCount all the leaves in the row with stem 4.\n\nIn the row with stem 5, count all the leaves less than 4.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plots above. 4 people scored at least 34 points but fewer than 54 points.", "answer": "4", "table": "**Game show scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 0, 1, 5, 7, 8 |\n| 2 | |\n| 3 | 1, 2, 5 |\n| 4 | 6, 9 |\n| 5 | 2 |\n| 6 | |\n| 7 | 1, 2, 3, 3, 6, 7 |" } ] }, { "id": "18091", "image": "18091.png", "conversations": [ { "from": "human", "question": "A technical support line tracked how many calls it received each day. On which day did the support line receive the fewest calls?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 425.\n\nNow find the corresponding day. Thursday corresponds to 425.", "answer": "Thursday", "table": "**Phone calls received**\n\n| Day | Number of calls |\n| --- | --- |\n| Monday | 454 |\n| Tuesday | 442 |\n| Wednesday | 452 |\n| Thursday | 425 |" } ] }, { "id": "18101", "image": "18101.png", "conversations": [ { "from": "human", "question": "Franklin kept track of how long it took to finish his homework each day. According to the table, what was the rate of change between Thursday and Friday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{19 minutes - 21 minutes}{1 day}\n = \\frac{-2 minutes}{1 day}\n = -2 minutes per day\nThe rate of change between Thursday and Friday was - 2 minutes per day.", "answer": "-2", "table": "**Time Franklin spent on homework**\n\n| Day | Minutes |\n| --- | --- |\n| Tuesday | 30 |\n| Wednesday | 15 |\n| Thursday | 21 |\n| Friday | 19 |\n| Saturday | 22 |" } ] }, { "id": "18106", "image": "18106.png", "conversations": [ { "from": "human", "question": "Sasha went to the store. She bought 0.2 pounds of heart confetti. How much did she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the heart confetti. Multiply the price per pound by the number of pounds.\n$10 × 0.2 = $2\nShe spent $2.", "answer": "2", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| heart confetti | $10 per lb |\n| alphabet confetti | $12 per lb |\n| graduation confetti | $10 per lb |\n| star confetti | $11 per lb |" } ] }, { "id": "18110", "image": "18110.png", "conversations": [ { "from": "human", "question": "Herman buys 3 kilograms of parsley, 2 kilograms of oregano, and 2 kilograms of chamomile. What is the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the parsley. Multiply:\n\n$3.10 × 3 = $9.30\n\nFind the cost of the oregano. Multiply:\n\n$2.04 × 2 = $4.08\n\nFind the cost of the chamomile. Multiply:\n\n$2.04 × 2 = $4.08\n\nNow find the total cost by adding:\n\n$9.30 + $4.08 + $4.08 = $17.46\n\nThe total cost is $17.46.", "answer": "17.46", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| cilantro | $3.18 per kilogram |\n| parsley | $3.10 per kilogram |\n| rosemary | $3.52 per kilogram |\n| oregano | $2.04 per kilogram |\n| mint | $1.95 per kilogram |\n| chamomile | $2.04 per kilogram |" } ] }, { "id": "18116", "image": "18116.png", "conversations": [ { "from": "human", "question": "If Jayden buys 3 pounds of 78-mm washers, how much will he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the 78-mm washers. Multiply the price per pound by the number of pounds.\n\n$10 × 3 = $30\n\nHe will spend $30.", "answer": "30", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| 24-mm washers | $10 per lb |\n| 66-mm washers | $9 per lb |\n| 44-mm washers | $8 per lb |\n| 78-mm washers | $10 per lb |\n| 39-mm washers | $9 per lb |" } ] }, { "id": "18130", "image": "18130.png", "conversations": [ { "from": "human", "question": "An ice cream shop kept track of how many ice cream cones it sold in the past 4 days. On which day did the shop sell the fewest ice cream cones?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 445.\n\nNow find the corresponding day. Friday corresponds to 445.", "answer": "Friday", "table": "**Ice cream cones sold**\n\n| Day | Number of ice cream cones |\n| --- | --- |\n| Friday | 445 |\n| Saturday | 475 |\n| Sunday | 474 |\n| Monday | 458 |" } ] }, { "id": "18133", "image": "18133.png", "conversations": [ { "from": "human", "question": "A baseball player paid attention to how many baseballs he hit in practice each day. On which day did he hit the most baseballs?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 79.\n\nNow find the corresponding day. Monday corresponds to 79.", "answer": "Monday", "table": "**Baseballs hit**\n\n| Day | Number of baseballs |\n| --- | --- |\n| Friday | 72 |\n| Saturday | 70 |\n| Sunday | 71 |\n| Monday | 79 |" } ] }, { "id": "18134", "image": "18134.png", "conversations": [ { "from": "human", "question": "Alana has $1,453.00. Does she have enough to buy an opal ring and a jade bracelet?\n" }, { "from": "gpt", "solution": "Add the price of an opal ring and the price of a jade bracelet:\n\n$927.00 + $575.00 = $1,502.00\n\n$1,502.00 is more than $1,453.00. Alana does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| topaz pendant | $810.00 |\n| opal ring | $927.00 |\n| garnet pendant | $829.00 |\n| jade bracelet | $575.00 |\n| gold ring | $203.00 |" } ] }, { "id": "18140", "image": "18140.png", "conversations": [ { "from": "human", "question": "Some students compared how many clubs they belong to. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n1, 2, 8, 4, 7\n\nFirst, find the greatest number. The greatest number is 8.\n\nNext, find the least number. The least number is 1.\n\nSubtract the least number from the greatest number:\n\n8 − 1 = 7\n\nThe range is 7.", "answer": "7", "table": "**Clubs**\n\n| Name | Number of clubs |\n| --- | --- |\n| Malik | 1 |\n| Tony | 2 |\n| Samir | 8 |\n| Anita | 4 |\n| Leroy | 7 |" } ] }, { "id": "18146", "image": "18146.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does the bus depart from the grocery store?\n" }, { "from": "gpt", "solution": "Find the grocery store on the schedule. Find the departure time for the grocery store.\n\nthe grocery store: 10:40 A. M.", "answer": "10:40 A.M.", "table": "**Bus schedule**\n\n| Location | Time |\n| --- | --- |\n| the grocery store | 10:40 A.M. |\n| the doctor's office | 11:15 A.M. |\n| the post office | 11:45 A.M. |\n| the science museum | 12:35 P.M. |\n| the kickball field | 1:20 P.M. |\n| the zoo | 2:05 P.M. |\n| the library | 2:10 P.M. |\n| the playground | 2:55 P.M. |\n| the mall | 3:10 P.M. |" } ] }, { "id": "18157", "image": "18157.png", "conversations": [ { "from": "human", "question": "A soccer coach asked the members of his team how many times they played soccer last week. How many people played soccer exactly once last week?\n" }, { "from": "gpt", "solution": "Find the row for 1 time and read the frequency. The frequency is 3.\n\n3 people played soccer exactly once last week.", "answer": "3", "table": "**Playing soccer last week**\n\n| Times played | Frequency |\n| --- | --- |\n| 0 | 16 |\n| 1 | 3 |\n| 2 | 9 |\n| 3 | 10 |\n| 4 | 15 |\n| 5 | 13 |\n| 6 | 12 |" } ] }, { "id": "18164", "image": "18164.png", "conversations": [ { "from": "human", "question": "Kelsey has $0.12. Does she have enough to buy a small pink bead and a white bead with black spots?\n" }, { "from": "gpt", "solution": "Add the price of a small pink bead and the price of a white bead with black spots:\n\n$0.09 + $0.04 = $0.13\n\n$0.13 is more than $0.12. Kelsey does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| small pink bead | $0.09 |\n| square yellow bead | $0.04 |\n| pink striped glass bead | $0.08 |\n| purple and red clay bead | $0.07 |\n| white bead with black spots | $0.04 |\n| long red bead | $0.03 |" } ] }, { "id": "18168", "image": "18168.png", "conversations": [ { "from": "human", "question": "Abby kept a tally of the number of emails she received each day for a week. According to the table, what was the rate of change between Sunday and Monday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{1 email - 0 emails}{1 day}\n = \\frac{1 email}{1 day}\n = 1 email per day\nThe rate of change between Sunday and Monday was 1 email per day.", "answer": "1", "table": "**Emails Abby received**\n\n| Day | Emails |\n| --- | --- |\n| Sunday | 0 |\n| Monday | 1 |\n| Tuesday | 2 |\n| Wednesday | 4 |\n| Thursday | 8 |" } ] }, { "id": "18172", "image": "18172.png", "conversations": [ { "from": "human", "question": "A pair of Fulton High School hockey fans counted the number of games won by the school each year. According to the table, what was the rate of change between 2007 and 2008?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{5 games - 7 games}{2008 - 2007}\n = \\frac{5 games - 7 games}{1 year}\n = \\frac{-2 games}{1 year}\n = -2 games per year\nThe rate of change between 2007 and 2008 was - 2 games per year.", "answer": "-2", "table": "**Hockey games won by Fulton High**\n\n| Year | Games won |\n| --- | --- |\n| 2007 | 7 |\n| 2008 | 5 |\n| 2009 | 15 |\n| 2010 | 14 |\n| 2011 | 6 |" } ] }, { "id": "18179", "image": "18179.png", "conversations": [ { "from": "human", "question": "For a class assignment, Zoe wanted to study whether or not the color of a person's car correlates with the color of his or her hair. She spent an hour at a stoplight recording the color of each car that passed and the hair color of its driver. What is the probability that a randomly selected driver has a blue car and has red hair? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the driver has a blue car\" and B be the event \"the driver has red hair\".\nTo find the probability that a driver has a blue car and has red hair, first identify the sample space and the event.\nThe outcomes in the sample space are the different drivers. Each driver is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the driver has a blue car and has red hair\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the driver has a blue car and has red hair\", so look at the table to see how many drivers have a blue car and have red hair.\nThe number of drivers who have a blue car and have red hair is 3.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of drivers.\n5 + 3 + 4 + 4 = 16\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{3}{16}\nThe probability that a driver has a blue car and has red hair is \\frac{3}{16}.", "answer": "3/16", "table": "| | Red hair | Blonde hair |\n| --- | --- | --- |\n| Red car | 5 | 4 |\n| Blue car | 3 | 4 |" } ] }, { "id": "18186", "image": "18186.png", "conversations": [ { "from": "human", "question": "Mr. Silva, a P.E. teacher, wrote down how much weight each of his students could lift. What is the lowest weight lifted?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 2.\n\nNow find the lowest leaf in the first row. The lowest leaf is 0.\n\nThe lowest weight lifted has a stem of 2 and a leaf of 0. Write the stem first, then the leaf: 20.\n\nThe lowest weight lifted is 20 pounds.", "answer": "20", "table": "**Weight lifting results (lbs)**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 0, 3 |\n| 3 | 1, 3, 3, 6 |\n| 4 | 2, 2 |\n| 5 | 0, 7 |\n| 6 | 1, 1, 2 |\n| 7 | 1, 2 |\n| 8 | 1, 7, 8 |\n| 9 | 0 |" } ] }, { "id": "18194", "image": "18194.png", "conversations": [ { "from": "human", "question": "Vijay has $17,846. Does he have enough to buy a red minivan and a black motorcycle?\n" }, { "from": "gpt", "solution": "Add the price of a red minivan and the price of a black motorcycle:\n\n$9,863 + $7,639 = $17,502\n\n$17,502 is less than $17,846. Vijay does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| red minivan | $9,863 |\n| red sports car | $9,678 |\n| black motorcycle | $7,639 |\n| tan station wagon | $7,975 |\n| black convertible | $6,574 |\n| blue two-door coupe | $6,433 |" } ] }, { "id": "18196", "image": "18196.png", "conversations": [ { "from": "human", "question": "Andy's campground is close to two hiking trails with scenic destinations. One trail ends at an underground lake in the bottom of a small cave. The other trail ends at a mountain peak. The elevation of each destination is shown on the campground map. Which trail's destination is farther from sea level?\n" }, { "from": "gpt", "solution": "The underground lake's elevation is negative, so it is below sea level. The mountain peak's elevation is positive, so it is above sea level.\nTo find the destination farther from sea level, use absolute value. Absolute value tells you how far each destination is from sea level.\nUnderground lake: |-350| = 350\nMountain peak: |325| = 325\nThe underground lake is 350 feet below sea level, and the mountain peak is only 325 feet above sea level. The underground lake is farther from sea level.", "answer": "underground lake", "table": "| Destination | Elevation (ft.) |\n| --- | --- |\n| Underground lake | -350 |\n| Mountain peak | 325 |" } ] }, { "id": "18198", "image": "18198.png", "conversations": [ { "from": "human", "question": "How much money does Myra need to buy an oboe and a cornet?\n" }, { "from": "gpt", "solution": "Add the price of an oboe and the price of a cornet:\n\n$976 + $836 = $1,812\n\nMyra needs $1,812.", "answer": "1,812", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| keyboard | $320 |\n| oboe | $976 |\n| saxophone | $811 |\n| cornet | $836 |" } ] }, { "id": "18201", "image": "18201.png", "conversations": [ { "from": "human", "question": "Amy surveyed people at the amusement park where she works and asked them how many times they visited last year. How many people went to an amusement park fewer than 2 times?\n" }, { "from": "gpt", "solution": "Find the row for 1 time and read the frequency. The frequency is 6.\n\n6 people went to an amusement park fewer than 2 times.", "answer": "6", "table": "**Trips to an amusement park last year**\n\n| Number of trips | Frequency |\n| --- | --- |\n| 1 | 6 |\n| 2 | 3 |\n| 3 | 9 |\n| 4 | 12 |" } ] }, { "id": "18204", "image": "18204.png", "conversations": [ { "from": "human", "question": "A pet store owner had her staff count the number of fish in each tank. How many tanks have exactly 53 fish?\n" }, { "from": "gpt", "solution": "For the number 53, the stem is 5, and the leaf is 3. Find the row where the stem is 5. In that row, count all the leaves equal to 3.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 tanks have exactly 53 fish.", "answer": "4", "table": "**Fish per tank**\n\n| Stem | Leaf |\n| --- | --- |\n| 5 | 2, 3, 3, 3, 3 |\n| 6 | 0, 1, 3, 5, 5, 7 |\n| 7 | 5 |\n| 8 | 0, 1, 2, 4 |\n| 9 | 0 |" } ] }, { "id": "18208", "image": "18208.png", "conversations": [ { "from": "human", "question": "A coffee shop monitored the number of cups of coffee sold each day. How many cups in total did the coffee shop sell on Wednesday and Saturday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nWednesday: 186\nSaturday: 136\n\nNow add: 186 + 136 = 322.\n\nThe coffee shop sold 322 cups of coffee on Wednesday and Saturday.", "answer": "322", "table": "**Cups of coffee sold**\n\n| Day | Number of cups |\n| --- | --- |\n| Tuesday | 200 |\n| Wednesday | 186 |\n| Thursday | 225 |\n| Friday | 243 |\n| Saturday | 136 |" } ] }, { "id": "18212", "image": "18212.png", "conversations": [ { "from": "human", "question": "Eli counted the number of problems on each of his tests. What is the largest number of problems?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 4.\n\nNow find the highest leaf in the last row. The highest leaf is 8.\n\nThe largest number of problems has a stem of 4 and a leaf of 8. Write the stem first, then the leaf: 48.\n\nThe largest number of problems is 48 problems.", "answer": "48", "table": "**Problems per test**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 3, 4, 4, 4, 6, 6, 9 |\n| 2 | 3, 5, 5 |\n| 3 | 4, 5, 7 |\n| 4 | 1, 2, 4, 5, 5, 5, 5, 8 |" } ] }, { "id": "18214", "image": "18214.png", "conversations": [ { "from": "human", "question": "Some friends discussed the sizes of their coin collections. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n97, 88, 84, 90, 86, 99, 97, 87\n\nFirst, count how many numbers are in the group.\n\nThere are 8 numbers.\n\nNow add all the numbers together:\n\n97 + 88 + 84 + 90 + 86 + 99 + 97 + 87 = 728\n\nNow divide the sum by the number of numbers:\n\n728 ÷ 8 = 91\n\nThe mean is 91.", "answer": "91", "table": "**Coin collections**\n\n| Name | Number of coins |\n| --- | --- |\n| Adam | 97 |\n| Hansen | 88 |\n| Dirk | 84 |\n| Sandra | 90 |\n| Cassie | 86 |\n| Victoria | 99 |\n| Jonathan | 97 |\n| Nancy | 87 |" } ] }, { "id": "18216", "image": "18216.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. How long does it take to get from the historic house to the aquarium?\n" }, { "from": "gpt", "solution": "Read the times in the first column for the historic house and the aquarium.\n\nFind the elapsed time between 10:00 A. M. and 12:00 P. M. The elapsed time is 2 hours.\n\nNo matter which column of times you look at, the elapsed time is always 2 hours.", "answer": "2 hours", "table": "**Tour bus schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 |\n| --- | --- | --- | --- |\n| historic house | 10:00 A.M. | 10:15 A.M. | 11:00 A.M. |\n| the zoo | 10:30 A.M. | 10:45 A.M. | 11:30 A.M. |\n| famous bridge | 11:00 A.M. | 11:15 A.M. | 12:00 P.M. |\n| the aquarium | 12:00 P.M. | 12:15 P.M. | 1:00 P.M. |\n| downtown | 1:00 P.M. | 1:15 P.M. | 2:00 P.M. |" } ] }, { "id": "18229", "image": "18229.png", "conversations": [ { "from": "human", "question": "The movie critic liked to count the number of actors in each movie she saw. How many movies had exactly 38 actors?\n" }, { "from": "gpt", "solution": "For the number 38, the stem is 3, and the leaf is 8. Find the row where the stem is 3. In that row, count all the leaves equal to 8.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 movies had exactly 38 actors.", "answer": "3", "table": "**Actors per movie**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 9 |\n| 2 | |\n| 3 | 0, 8, 8, 8, 9 |\n| 4 | 0, 2 |" } ] }, { "id": "18237", "image": "18237.png", "conversations": [ { "from": "human", "question": "A flight attendant was counting the number of passengers present to see if any upgrades could be offered. The flight attendant's list contained passengers' Frequent Flyer status as well as number of bags checked. What is the probability that a randomly selected passenger has 1 checked bag and bronze status? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the passenger has 1 checked bag\" and B be the event \"the passenger has bronze status\".\nTo find the probability that a passenger has 1 checked bag and bronze status, first identify the sample space and the event.\nThe outcomes in the sample space are the different passengers. Each passenger is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the passenger has 1 checked bag and bronze status\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the passenger has 1 checked bag and bronze status\", so look at the table to see how many passengers have 1 checked bag and bronze status.\nThe number of passengers who have 1 checked bag and bronze status is 3.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of passengers.\n4 + 3 + 8 + 5 = 20\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{3}{20}\nThe probability that a passenger has 1 checked bag and bronze status is \\frac{3}{20}.", "answer": "3/20", "table": "| | Bronze status | Silver status |\n| --- | --- | --- |\n| 0 checked bags | 4 | 8 |\n| 1 checked bag | 3 | 5 |" } ] }, { "id": "18246", "image": "18246.png", "conversations": [ { "from": "human", "question": "Look at this table. Is this relation a function?\n" }, { "from": "gpt", "solution": "Look at the x-values in the table.\n\nThe x-value 6 is paired with multiple y-values, so the relation is not a function.", "answer": "no", "table": "| x | y |\n| --- | --- |\n| 6 | 10 |\n| 6 | 0 |\n| 4 | 3 |\n| 12 | 1 |" } ] }, { "id": "18251", "image": "18251.png", "conversations": [ { "from": "human", "question": "Layla went on a bird watching trip and jotted down the number of birds she saw each day. On which day did Layla see the most birds?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 68.\n\nNow find the corresponding day. Tuesday corresponds to 68.", "answer": "Tuesday", "table": "**Number of birds**\n\n| Day | Number of birds |\n| --- | --- |\n| Sunday | 63 |\n| Monday | 60 |\n| Tuesday | 68 |\n| Wednesday | 61 |" } ] }, { "id": "18253", "image": "18253.png", "conversations": [ { "from": "human", "question": "How much more does an oil painting cost than a lamp?\n" }, { "from": "gpt", "solution": "Subtract the price of a lamp from the price of an oil painting.\n\n$98.67 - $46.00 = $52.67\n\nAn oil painting costs $52.67 more than a lamp.", "answer": "52.67", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| silver coat rack | $86.16 |\n| rug | $28.81 |\n| oil painting | $98.67 |\n| lamp | $46.00 |\n| crystal sculpture | $83.15 |" } ] }, { "id": "18256", "image": "18256.png", "conversations": [ { "from": "human", "question": "Every year Milford has a citywide relay and reports the winning times. According to the table, what was the rate of change between 2014 and 2015?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{45 minutes - 47 minutes}{2015 - 2014}\n = \\frac{45 minutes - 47 minutes}{1 year}\n = \\frac{-2 minutes}{1 year}\n = -2 minutes per year\nThe rate of change between 2014 and 2015 was - 2 minutes per year.", "answer": "-2", "table": "**Winning relay times**\n\n| Year | Winning time (minutes) |\n| --- | --- |\n| 2011 | 40 |\n| 2012 | 48 |\n| 2013 | 37 |\n| 2014 | 47 |\n| 2015 | 45 |" } ] }, { "id": "18261", "image": "18261.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $160, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $160, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $140 | 14,900 | 5,400 |\n| $150 | 13,700 | 8,800 |\n| $160 | 12,500 | 12,200 |\n| $170 | 11,300 | 15,600 |\n| $180 | 10,100 | 19,000 |" } ] }, { "id": "18263", "image": "18263.png", "conversations": [ { "from": "human", "question": "An Idaho farmer has been monitoring crop prices over time. In 2005, which crop cost the most per cwt?\n" }, { "from": "gpt", "solution": "Look at the numbers in the 2005 column. Find the greatest number in this column.\n\nThe greatest number is $18.00, which is in the Apples row. In 2005, apples cost the most per cwt.", "answer": "apples", "table": "**Idaho crop prices per cwt**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Crop | 2004 | 2005 |\n| Peas | $7 | $6 |\n| Lentils | $14 | $12 |\n| Apples | $12 | $18 |\n| Onions | $7 | $8 |\n| Timothy seed | $7 | $7 |" } ] }, { "id": "18264", "image": "18264.png", "conversations": [ { "from": "human", "question": "Over a weekend, Charlotte counted the number of single scoop ice creams ordered at her store. She tracked the flavors and the day on which it was ordered. What is the probability that a randomly selected ice cream was chocolate and was ordered on a Saturday? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the ice cream was chocolate\" and B be the event \"the ice cream was ordered on a Saturday\".\nTo find the probability that a ice cream was chocolate and was ordered on a Saturday, first identify the sample space and the event.\nThe outcomes in the sample space are the different ice creams. Each ice cream is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the ice cream was chocolate and was ordered on a Saturday\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the ice cream was chocolate and was ordered on a Saturday\", so look at the table to see how many ice creams were chocolate and were ordered on a Saturday.\nThe number of ice creams that were chocolate and were ordered on a Saturday is 6.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of ice creams.\n6 + 5 + 2 + 3 = 16\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{6}{16}\n = \\frac{3}{8}\nThe probability that a ice cream was chocolate and was ordered on a Saturday is \\frac{3}{8}.", "answer": "3/8", "table": "| | Saturday | Sunday |\n| --- | --- | --- |\n| Chocolate | 6 | 2 |\n| Vanilla | 5 | 3 |" } ] }, { "id": "18266", "image": "18266.png", "conversations": [ { "from": "human", "question": "Shawna bought 0.4 kilograms of breaded chicken. How much did she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the breaded chicken. Multiply the price per kilogram by the number of kilograms.\n$3 × 0.4 = $1.20\nShe spent $1.20.", "answer": "1.20", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| baked chicken | $3 per kg |\n| curried chicken | $4 per kg |\n| sauteed chicken | $4 per kg |\n| roast chicken | $2 per kg |\n| fried chicken | $4 per kg |\n| breaded chicken | $3 per kg |" } ] }, { "id": "18269", "image": "18269.png", "conversations": [ { "from": "human", "question": "A wilderness retail store asked a consulting company to do an analysis of their hiking shoe customers. The consulting company gathered data from each customer that purchased hiking shoes, and recorded the shoe brand and the customer's level of happiness. What is the probability that a randomly selected customer purchased a Footlong shoe and is pleased? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the customer purchased a Footlong shoe\" and B be the event \"the customer is pleased\".\nTo find the probability that a customer purchased a Footlong shoe and is pleased, first identify the sample space and the event.\nThe outcomes in the sample space are the different customers. Each customer is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the customer purchased a Footlong shoe and is pleased\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the customer purchased a Footlong shoe and is pleased\", so look at the table to see how many customers purchased a Footlong shoe and are pleased.\nThe number of customers who purchased a Footlong shoe and are pleased is 5.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of customers.\n6 + 2 + 5 + 6 = 19\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{5}{19}\nThe probability that a customer purchased a Footlong shoe and is pleased is \\frac{5}{19}.", "answer": "5/19", "table": "| | Displeased | Pleased |\n| --- | --- | --- |\n| A Footlong shoe | 6 | 5 |\n| A Toes Knows shoe | 2 | 6 |" } ] }, { "id": "18281", "image": "18281.png", "conversations": [ { "from": "human", "question": "The Joseph Senior Care Center monitored how often its residents got to visit with relatives last year. How many residents visited with relatives more than 2 times?\n" }, { "from": "gpt", "solution": "Find the rows for 3, 4, and 5 times. Add the frequencies for these rows.\n\nAdd:\n\n8 + 10 + 0 = 18\n\n18 residents visited with relatives more than 2 times.", "answer": "18", "table": "**Visiting with relatives last year**\n\n| Number of visits | Frequency |\n| --- | --- |\n| 0 | 14 |\n| 1 | 5 |\n| 2 | 1 |\n| 3 | 8 |\n| 4 | 10 |\n| 5 | 0 |" } ] }, { "id": "18283", "image": "18283.png", "conversations": [ { "from": "human", "question": "How much money does Sadie need to buy 8 slices of chocolate cake?\n" }, { "from": "gpt", "solution": "Find the total cost of 8 slices of chocolate cake by multiplying 8 times the price of a slice of chocolate cake.\n\n$2.39 × 8 = $19.12\n\nSadie needs $19.12.", "answer": "19.12", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| glass of lemonade | $1.19 |\n| turkey sandwich | $5.61 |\n| slice of chocolate cake | $2.39 |\n| cup of milk | $1.48 |\n| slice of peach pie | $3.56 |" } ] }, { "id": "18286", "image": "18286.png", "conversations": [ { "from": "human", "question": "Aaron has $47.50. Does he have enough to buy a mystery novel and an encyclopedia?\n" }, { "from": "gpt", "solution": "Add the price of a mystery novel and the price of an encyclopedia:\n\n$11.94 + $33.82 = $45.76\n\n$45.76 is less than $47.50. Aaron does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| encyclopedia | $33.82 |\n| map of Africa | $14.07 |\n| math book | $13.75 |\n| map of the world | $11.26 |\n| mystery novel | $11.94 |" } ] }, { "id": "18290", "image": "18290.png", "conversations": [ { "from": "human", "question": "How much more does a silver glitter pen cost than a rubber stamp?\n" }, { "from": "gpt", "solution": "Subtract the price of a rubber stamp from the price of a silver glitter pen.\n\n$0.98 - $0.63 = $0.35\n\nA silver glitter pen costs $0.35 more than a rubber stamp.", "answer": "0.35", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| box of envelopes | $0.96 |\n| ink pad | $0.89 |\n| rubber stamp | $0.63 |\n| silver glitter pen | $0.98 |" } ] }, { "id": "18294", "image": "18294.png", "conversations": [ { "from": "human", "question": "Tamir is a sandwich maker at a local deli. Last week, he tracked the number of peanut butter and jelly sandwiches ordered, noting the flavor of jelly and type of peanut butter requested. What is the probability that a randomly selected sandwich was made with creamy peanut butter and strawberry jelly? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the sandwich was made with creamy peanut butter\" and B be the event \"the sandwich was made with strawberry jelly\".\nTo find the probability that a sandwich was made with creamy peanut butter and strawberry jelly, first identify the sample space and the event.\nThe outcomes in the sample space are the different sandwiches. Each sandwich is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the sandwich was made with creamy peanut butter and strawberry jelly\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the sandwich was made with creamy peanut butter and strawberry jelly\", so look at the table to see how many sandwiches were made with creamy peanut butter and strawberry jelly.\nThe number of sandwiches that were made with creamy peanut butter and strawberry jelly is 2.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of sandwiches.\n2 + 2 + 3 + 4 = 11\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{2}{11}\nThe probability that a sandwich was made with creamy peanut butter and strawberry jelly is \\frac{2}{11}.", "answer": "2/11", "table": "| | Strawberry jelly | Grape jelly |\n| --- | --- | --- |\n| Creamy peanut butter | 2 | 3 |\n| Chunky peanut butter | 2 | 4 |" } ] }, { "id": "18305", "image": "18305.png", "conversations": [ { "from": "human", "question": "Jeremiah has two dogs, Sprinkles and Champ. He is concerned because Sprinkles keeps eating Champ's food. Jeremiah asks their vet how much each dog's weight has changed since their last visit. Which dog's weight has changed the most?\n" }, { "from": "gpt", "solution": "To find which dog's weight changed the most, use absolute value. Absolute value tells you how much each dog's weight has changed.\nSprinkles: |5| = 5\nChamp: |-6| = 6\nChamp's weight has changed the most. He has lost 6 ounces.", "answer": "Champ", "table": "| Dog | Weight change (oz.) |\n| --- | --- |\n| Sprinkles | 5 |\n| Champ | -6 |" } ] }, { "id": "18321", "image": "18321.png", "conversations": [ { "from": "human", "question": "A farmer counted the number of apples on each tree in his orchard. How many trees have at least 49 apples but fewer than 95 apples?\n" }, { "from": "gpt", "solution": "Find the row with stem 4. Count all the leaves greater than or equal to 9.\n\nCount all the leaves in the rows with stems 5, 6, 7, and 8.\n\nIn the row with stem 9, count all the leaves less than 5.\n\nYou counted 8 leaves, which are blue in the stem-and-leaf plots above. 8 trees have at least 49 apples but fewer than 95 apples.", "answer": "8", "table": "**Apples per tree**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 2, 7 |\n| 2 | 1, 8 |\n| 3 | 7, 8 |\n| 4 | 7, 7 |\n| 5 | |\n| 6 | 1, 5 |\n| 7 | 4, 8 |\n| 8 | 6, 8, 8 |\n| 9 | 0 |" } ] }, { "id": "18324", "image": "18324.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which class begins at 1.40 P.M.?\n" }, { "from": "gpt", "solution": "Find 1:40 P. M. on the schedule. Reading Music class begins at 1:40 P. M.", "answer": "Reading Music class", "table": "**Music teacher's schedule**\n\n| Class | Begin | End |\n| --- | --- | --- |\n| Beginning Piano | 9:20 A.M. | 10:15 A.M. |\n| Beginning Band | 10:20 A.M. | 11:55 A.M. |\n| Advanced Band | 12:10 P.M. | 1:25 P.M. |\n| Reading Music | 1:40 P.M. | 2:25 P.M. |\n| Music Appreciation | 2:30 P.M. | 3:20 P.M. |\n| Sixth Grade Choir | 3:25 P.M. | 4:50 P.M. |" } ] }, { "id": "18326", "image": "18326.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which stop does the train depart from at 12.00 P.M.?\n" }, { "from": "gpt", "solution": "Find 12:00 P. M. on the schedule. The train departs from the town square at 12:00 P. M.", "answer": "town square", "table": "**Light rail train schedule**\n\n| Location | Time |\n| --- | --- |\n| zoo | 10:05 A.M. |\n| post office | 10:15 A.M. |\n| elementary school | 10:35 A.M. |\n| swimming pool | 11:00 A.M. |\n| hospital | 11:30 A.M. |\n| town square | 12:00 P.M. |\n| science museum | 12:05 P.M. |\n| soccer field | 12:20 P.M. |\n| basketball stadium | 12:40 P.M. |\n| baseball stadium | 1:10 P.M. |" } ] }, { "id": "18327", "image": "18327.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Herman just missed the 1.30 P.M. train at the civic center. What time is the next train?\n" }, { "from": "gpt", "solution": "Find 1:30 P. M. in the row for the civic center.\n\nLook for the next train in that row.\n\nThe next train is at 1:45 P. M.", "answer": "1:45 P.M.", "table": "**Subway train schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 |\n| --- | --- | --- | --- |\n| art gallery district | 9:15 A.M. | 9:30 A.M. | 9:45 A.M. |\n| shopping district | 10:15 A.M. | 10:30 A.M. | 10:45 A.M. |\n| university | 11:15 A.M. | 11:30 A.M. | 11:45 A.M. |\n| industrial district | 12:15 P.M. | 12:30 P.M. | 12:45 P.M. |\n| civic center | 1:15 P.M. | 1:30 P.M. | 1:45 P.M. |\n| restaurant district | 1:30 P.M. | 1:45 P.M. | 2:00 P.M. |\n| city park | 2:30 P.M. | 2:45 P.M. | 3:00 P.M. |" } ] }, { "id": "18329", "image": "18329.png", "conversations": [ { "from": "human", "question": "While looking through an almanac at the library, Porter noticed some data showing the population density of various states. How many people per square mile lived in Wyoming in 2000?\n" }, { "from": "gpt", "solution": "First, find the row for Wyoming. Then find the number in the 2000 column.\n\nThis number is 5. In 2000, Wyoming had 5 people per square mile.", "answer": "5", "table": "**Population per square mile**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| State | 1990 | 2000 |\n| Wyoming | 4 | 5 |\n| North Dakota | 9 | 9 |\n| Idaho | 12 | 15 |\n| Montana | 5 | 6 |\n| New Mexico | 12 | 15 |" } ] }, { "id": "18330", "image": "18330.png", "conversations": [ { "from": "human", "question": "Gordon measured the length of each scarf in the clothing store where he works. How many scarves are exactly 86 centimeters?\n" }, { "from": "gpt", "solution": "For the number 86, the stem is 8, and the leaf is 6. Find the row where the stem is 8. In that row, count all the leaves equal to 6.\n\nYou counted 0 leaves. 0 scarves are exactly 86 centimeters.", "answer": "0", "table": "**Scarf lengths (centimeters)**\n\n| Stem | Leaf |\n| --- | --- |\n| 6 | 9, 9 |\n| 7 | 4, 4, 8, 8, 9 |\n| 8 | 0, 1, 3 |\n| 9 | 0 |" } ] }, { "id": "18331", "image": "18331.png", "conversations": [ { "from": "human", "question": "As part of a statistics project, a math class weighed all the children who were willing to participate. How many children weighed at least 19 pounds but less than 35 pounds?\n" }, { "from": "gpt", "solution": "Find the row with stem 1. Count all the leaves greater than or equal to 9.\n\nCount all the leaves in the row with stem 2.\n\nIn the row with stem 3, count all the leaves less than 5.\n\nYou counted 9 leaves, which are blue in the stem-and-leaf plots above. 9 children weighed at least 19 pounds but less than 35 pounds.", "answer": "9", "table": "**Children's weights (lbs)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 2 |\n| 2 | 1, 4, 8, 9 |\n| 3 | 1, 1, 2, 2, 4 |\n| 4 | 6, 6, 8 |" } ] }, { "id": "18339", "image": "18339.png", "conversations": [ { "from": "human", "question": "In science class, Erin is measuring the temperature of different chemical mixtures. The temperatures of two mixtures are shown in the table. Which mixture's temperature is closest to zero?\n" }, { "from": "gpt", "solution": "A positive number means the temperature is above zero. A negative number means the temperature is below zero.\nTo find the temperature closest to zero, use absolute value. The absolute value of a temperature tells you how far it is from zero.\nBromine mixture: |-4| = 4\nAcetone mixture: |5| = 5\nThe temperature of the bromine mixture is closest to zero. It is only 4 degrees below zero.", "answer": "bromine mixture", "table": "| Mixture | Temperature (°C) |\n| --- | --- |\n| Bromine mixture | -4 |\n| Acetone mixture | 5 |" } ] }, { "id": "18347", "image": "18347.png", "conversations": [ { "from": "human", "question": "Each shopping bag has 5 pairs of jeans. How many pairs of jeans are in 6 shopping bags?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 30 pairs of jeans in 6 shopping bags.", "answer": "30", "table": "| Number of shopping bags | Number of pairs of jeans |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | 20 |\n| 5 | 25 |\n| 6 | ? |" } ] }, { "id": "18357", "image": "18357.png", "conversations": [ { "from": "human", "question": "Nina kept a tally of the number of emails she received each day for a week. According to the table, what was the rate of change between Tuesday and Wednesday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{3 emails - 1 email}{1 day}\n = \\frac{2 emails}{1 day}\n = 2 emails per day\nThe rate of change between Tuesday and Wednesday was 2 emails per day.", "answer": "2", "table": "**Emails Nina received**\n\n| Day | Emails |\n| --- | --- |\n| Sunday | 5 |\n| Monday | 7 |\n| Tuesday | 1 |\n| Wednesday | 3 |\n| Thursday | 2 |" } ] }, { "id": "18364", "image": "18364.png", "conversations": [ { "from": "human", "question": "The Fairview Art Museum recorded how many finger puppets the children made at last Sunday's art workshop. How many children made more than 5 finger puppets?\n" }, { "from": "gpt", "solution": "Find the row for 6 finger puppets and read the frequency. The frequency is 1.\n\n1 child made more than 5 finger puppets.", "answer": "1", "table": "**Making finger puppets**\n\n| Finger puppets made | Frequency |\n| --- | --- |\n| 0 | 5 |\n| 1 | 10 |\n| 2 | 0 |\n| 3 | 13 |\n| 4 | 16 |\n| 5 | 18 |\n| 6 | 1 |" } ] }, { "id": "18365", "image": "18365.png", "conversations": [ { "from": "human", "question": "An arcade in Ashland keeps track of which prizes its customers get with their tickets. What fraction of the prizes were model airplanes? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many prizes were model airplanes.\n\n160\n\nFind how many prizes were given out in total.\n\n160 + 830 + 950 + 610 = 2,550\n\nDivide 160 by2,550.\n\n\\frac{160}{2,550}\n\nReduce the fraction.\n\n\\frac{160}{2,550} → \\frac{16}{255}\n\n\\frac{16}{255} of prizes were model airplanes.", "answer": "16/255", "table": "**Prizes given out**\n\n| Prize | Number of prizes given out |\n| --- | --- |\n| Model airplanes | 160 |\n| Whistles | 830 |\n| Yo-yos | 950 |\n| Other | 610 |" } ] }, { "id": "18366", "image": "18366.png", "conversations": [ { "from": "human", "question": "The members of the local garden club tallied the number of plants in each person's garden. What is the smallest number of plants?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 1.\n\nNow find the lowest leaf in the first row. The lowest leaf is 0.\n\nThe smallest number of plants has a stem of 1 and a leaf of 0. Write the stem first, then the leaf: 10.\n\nThe smallest number of plants is 10 plants.", "answer": "10", "table": "**Plants per garden**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0 |\n| 2 | 0, 1, 3, 4 |\n| 3 | 2 |\n| 4 | 5, 6 |\n| 5 | 1 |\n| 6 | 5, 8 |\n| 7 | 5, 7 |" } ] }, { "id": "18367", "image": "18367.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{15 - 19}{11 - 10}\n = \\frac{-4}{1}\n = -4\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{10 - 15}{12 - 11}\n = \\frac{-5}{1}\n = -5\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 10 | 19 |\n| 11 | 15 |\n| 12 | 10 |" } ] }, { "id": "18376", "image": "18376.png", "conversations": [ { "from": "human", "question": "The students in Mr. Hardin's class recorded the number of siblings that each has. How many students have fewer than 2 siblings?\n" }, { "from": "gpt", "solution": "Find the rows for 0 and 1 sibling. Add the frequencies for these rows.\n\nAdd:\n\n19 + 17 = 36\n\n36 students have fewer than 2 siblings.", "answer": "36", "table": "**Siblings**\n\n| Number of siblings | Frequency |\n| --- | --- |\n| 0 | 19 |\n| 1 | 17 |\n| 2 | 12 |\n| 3 | 4 |" } ] }, { "id": "18383", "image": "18383.png", "conversations": [ { "from": "human", "question": "Charlie paid attention to how many flowers he planted in the garden during the past 5 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n10, 2, 6, 8, 9\n\nFirst, find the greatest number. The greatest number is 10.\n\nNext, find the least number. The least number is 2.\n\nSubtract the least number from the greatest number:\n\n10 − 2 = 8\n\nThe range is 8.", "answer": "8", "table": "**Flowers plants**\n\n| Day | Number of flowers |\n| --- | --- |\n| Monday | 10 |\n| Tuesday | 2 |\n| Wednesday | 6 |\n| Thursday | 8 |\n| Friday | 9 |" } ] }, { "id": "18384", "image": "18384.png", "conversations": [ { "from": "human", "question": "If Walter buys 2 pounds of 39-mm washers, how much will he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the 39-mm washers. Multiply the price per pound by the number of pounds.\n\n$9 × 2 = $18\n\nHe will spend $18.", "answer": "18", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| 44-mm washers | $8/lb |\n| 24-mm washers | $5/lb |\n| 50-mm washers | $9/lb |\n| 39-mm washers | $9/lb |\n| 78-mm washers | $10/lb |\n| 66-mm washers | $5/lb |" } ] }, { "id": "18391", "image": "18391.png", "conversations": [ { "from": "human", "question": "Emily, an aspiring meteorologist, spent the past few weekends studying the clouds. She took detailed notes on the types of clouds observed and the time of day they were observed. What is the probability that a randomly selected cloud was marked as stratocumulus and was observed in the afternoon? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the cloud was marked as stratocumulus\" and B be the event \"the cloud was observed in the afternoon\".\nTo find the probability that a cloud was marked as stratocumulus and was observed in the afternoon, first identify the sample space and the event.\nThe outcomes in the sample space are the different clouds. Each cloud is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the cloud was marked as stratocumulus and was observed in the afternoon\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the cloud was marked as stratocumulus and was observed in the afternoon\", so look at the table to see how many clouds were marked as stratocumulus and were observed during the afternoon.\nThe number of clouds that were marked as stratocumulus and were observed during the afternoon is 5.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of clouds.\n3 + 5 + 5 + 6 = 19\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{5}{19}\nThe probability that a cloud was marked as stratocumulus and was observed in the afternoon is \\frac{5}{19}.", "answer": "5/19", "table": "| | Morning | Afternoon |\n| --- | --- | --- |\n| Stratocumulus | 3 | 5 |\n| Stratus | 5 | 6 |" } ] }, { "id": "18395", "image": "18395.png", "conversations": [ { "from": "human", "question": "An Idaho farmer has been monitoring crop prices over time. Per cwt, how much did onions cost in 2003?\n" }, { "from": "gpt", "solution": "First, find the row for onions. Then find the number in the 2003 column.\n\nThis number is $11.00. In 2003, onions cost $11 per cwt.", "answer": "11", "table": "**Idaho crop prices per cwt**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Crop | 2003 | 2004 |\n| Potatoes | $4 | $4 |\n| Apples | $20 | $12 |\n| Onions | $11 | $7 |" } ] }, { "id": "18405", "image": "18405.png", "conversations": [ { "from": "human", "question": "The members of the swimming team compared how many laps they swam yesterday. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n64, 70, 58, 66, 60, 65, 61, 60\n\nFirst, count how many numbers are in the group.\n\nThere are 8 numbers.\n\nNow add all the numbers together:\n\n64 + 70 + 58 + 66 + 60 + 65 + 61 + 60 = 504\n\nNow divide the sum by the number of numbers:\n\n504 ÷ 8 = 63\n\nThe mean is 63.", "answer": "63", "table": "**Swimming laps**\n\n| Name | Laps |\n| --- | --- |\n| Tommy | 64 |\n| Daniel | 70 |\n| Nellie | 58 |\n| Santiago | 66 |\n| Kelsey | 60 |\n| Celine | 65 |\n| Linda | 61 |\n| Rudy | 60 |" } ] }, { "id": "18410", "image": "18410.png", "conversations": [ { "from": "human", "question": "Emilia has $56.00. Does she have enough to buy a pair of boots and a pair of shoes?\n" }, { "from": "gpt", "solution": "Add the price of a pair of boots and the price of a pair of shoes:\n\n$30.35 + $26.55 = $56.90\n\n$56.90 is more than $56.00. Emilia does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pair of shorts | $23.99 |\n| pair of boots | $30.35 |\n| pair of shoes | $26.55 |\n| gray sweatshirt | $16.91 |\n| purple dress | $19.52 |\n| red sweater | $24.86 |" } ] }, { "id": "18411", "image": "18411.png", "conversations": [ { "from": "human", "question": "Lara looked at her calendar to figure out how much time she spent babysitting each month. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 3, 3, 3, 3, 5, 2\n\nFirst, arrange the numbers from least to greatest:\n\n2, 3, 3, 3, 3, 5, 7\n\nNow find the number in the middle.\n\n2, 3, 3, 3, 3, 5, 7\n\nThe number in the middle is 3.\n\nThe median is 3.", "answer": "3", "table": "**Hours of babysitting**\n\n| Month | Hours |\n| --- | --- |\n| November | 7 |\n| December | 3 |\n| January | 3 |\n| February | 3 |\n| March | 3 |\n| April | 5 |\n| May | 2 |" } ] }, { "id": "18414", "image": "18414.png", "conversations": [ { "from": "human", "question": "Some students compared how many blocks they live from school. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n5, 5, 2, 5, 3, 7, 8\n\nFirst, count how many numbers are in the group.\n\nThere are 7 numbers.\n\nNow add all the numbers together:\n\n5 + 5 + 2 + 5 + 3 + 7 + 8 = 35\n\nNow divide the sum by the number of numbers:\n\n35 ÷ 7 = 5\n\nThe mean is 5.", "answer": "5", "table": "**Blocks from school**\n\n| Name | Number of blocks |\n| --- | --- |\n| Jen | 5 |\n| Nina | 5 |\n| Tyrone | 2 |\n| Belle | 5 |\n| Kari | 3 |\n| Emmet | 7 |\n| Andy | 8 |" } ] }, { "id": "18426", "image": "18426.png", "conversations": [ { "from": "human", "question": "An administrator at the Department of Motor Vehicles (DMV) tracked the average wait time from month to month. According to the table, what was the rate of change between July and August?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{21 minutes - 17 minutes}{1 month}\n = \\frac{4 minutes}{1 month}\n = 4 minutes per month\nThe rate of change between July and August was 4 minutes per month.", "answer": "4", "table": "**Average waiting time at the DMV**\n\n| Month | Waiting time (minutes) |\n| --- | --- |\n| April | 26 |\n| May | 21 |\n| June | 29 |\n| July | 17 |\n| August | 21 |" } ] }, { "id": "18430", "image": "18430.png", "conversations": [ { "from": "human", "question": "Hanson's campground is close to two hiking trails with scenic destinations. One trail ends at an underground lake in the bottom of a small cave. The other trail ends at a mountain peak. The elevation of each destination is shown on the campground map. Which trail's destination is farther from sea level?\n" }, { "from": "gpt", "solution": "The underground lake's elevation is negative, so it is below sea level. The mountain peak's elevation is positive, so it is above sea level.\nTo find the destination farther from sea level, use absolute value. Absolute value tells you how far each destination is from sea level.\nUnderground lake: |-350| = 350\nMountain peak: |325| = 325\nThe underground lake is 350 feet below sea level, and the mountain peak is only 325 feet above sea level. The underground lake is farther from sea level.", "answer": "underground lake", "table": "| Destination | Elevation (ft.) |\n| --- | --- |\n| Underground lake | -350 |\n| Mountain peak | 325 |" } ] }, { "id": "18431", "image": "18431.png", "conversations": [ { "from": "human", "question": "After growing tired of squinting while driving, Ellie went shopping for a pair of sunglasses. She tried on glasses with different frames and lenses. What is the probability that a randomly selected pair of sunglasses has regular lenses and browline frames? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the pair of sunglasses has regular lenses\" and B be the event \"the pair of sunglasses has browline frames\".\nTo find the probability that a pair of sunglasses has regular lenses and browline frames, first identify the sample space and the event.\nThe outcomes in the sample space are the different pairs of sunglasses. Each pair of sunglasses is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the pair of sunglasses has regular lenses and browline frames\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the pair of sunglasses has regular lenses and browline frames\", so look at the table to see how many pairs of sunglasses have regular lenses and browline frames.\nThe number of pairs of sunglasses that have regular lenses and browline frames is 7.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of pairs of sunglasses.\n1 + 5 + 7 + 7 = 20\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{7}{20}\nThe probability that a pair of sunglasses has regular lenses and browline frames is \\frac{7}{20}.", "answer": "7/20", "table": "| | Cat eye frames | Browline frames |\n| --- | --- | --- |\n| Polarized lenses | 1 | 7 |\n| Regular lenses | 5 | 7 |" } ] }, { "id": "18433", "image": "18433.png", "conversations": [ { "from": "human", "question": "How much money does Mackenzie need to buy a designer handbag and a designer scarf?\n" }, { "from": "gpt", "solution": "Add the price of a designer handbag and the price of a designer scarf:\n\n$794 + $271 = $1,065\n\nMackenzie needs $1,065.", "answer": "1,065", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| designer skirt | $456 |\n| designer handbag | $794 |\n| designer scarf | $271 |\n| designer coat | $881 |" } ] }, { "id": "18434", "image": "18434.png", "conversations": [ { "from": "human", "question": "William buys 3+1/2 kilograms of lemon bars. How much does he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the lemon bars. Multiply the price per kilogram by the number of kilograms.\n$2 × 3\\frac{1}{2} = $2 × 3.5 = $7\nHe spends $7.", "answer": "7", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| puffed rice bars | $3 per kilogram |\n| cream cheese bars | $3 per kilogram |\n| coffee cake | $1 per kilogram |\n| lemon bars | $2 per kilogram |\n| blueberry bars | $2 per kilogram |\n| popcorn balls | $2 per kilogram |" } ] }, { "id": "18437", "image": "18437.png", "conversations": [ { "from": "human", "question": "While looking through an almanac at the library, Heather noticed some data showing the population density of various states. How many people per square mile lived in North Dakota in 2000?\n" }, { "from": "gpt", "solution": "First, find the row for North Dakota. Then find the number in the 2000 column.\n\nThis number is 9. In 2000, North Dakota had 9 people per square mile.", "answer": "9", "table": "**Population per square mile**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| State | 1990 | 2000 |\n| Montana | 5 | 6 |\n| North Dakota | 9 | 9 |\n| Idaho | 12 | 15 |\n| South Dakota | 9 | 10 |" } ] }, { "id": "18444", "image": "18444.png", "conversations": [ { "from": "human", "question": "The receptionist at a doctor's office kept track of each patient's wait time. How many people waited for at least 59 minutes?\n" }, { "from": "gpt", "solution": "Find the row with stem 5. Count all the leaves greater than or equal to 9.\n\nCount all the leaves in the rows with stems 6, 7, 8, and 9.\n\nYou counted 9 leaves, which are blue in the stem-and-leaf plots above. 9 people waited for at least 59 minutes.", "answer": "9", "table": "**Doctor's office wait times (minutes)**\n\n| Stem | Leaf |\n| --- | --- |\n| 0 | 1, 2, 2, 8 |\n| 1 | 5, 8 |\n| 2 | 2, 9, 9 |\n| 3 | 4, 6, 7, 8, 9 |\n| 4 | 9 |\n| 5 | 5 |\n| 6 | 7, 8, 9 |\n| 7 | 5, 8, 9 |\n| 8 | 3, 6 |\n| 9 | 0 |" } ] }, { "id": "18445", "image": "18445.png", "conversations": [ { "from": "human", "question": "A juice shop tracked how many smoothies it sold in the past 4 days. On which day did the shop sell the fewest smoothies?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 90.\n\nNow find the corresponding day. Wednesday corresponds to 90.", "answer": "Wednesday", "table": "**Smoothies sold**\n\n| Day | Number of smoothies |\n| --- | --- |\n| Wednesday | 90 |\n| Thursday | 94 |\n| Friday | 98 |\n| Saturday | 93 |" } ] }, { "id": "18446", "image": "18446.png", "conversations": [ { "from": "human", "question": "Jaylen has two dogs, Sprinkles and Champ. He is concerned because Sprinkles keeps eating Champ's food. Jaylen asks their vet how much each dog's weight has changed since their last visit. Which dog's weight has changed the most?\n" }, { "from": "gpt", "solution": "To find which dog's weight changed the most, use absolute value. Absolute value tells you how much each dog's weight has changed.\nSprinkles: |5| = 5\nChamp: |-6| = 6\nChamp's weight has changed the most. He has lost 6 ounces.", "answer": "Champ", "table": "| Dog | Weight change (oz.) |\n| --- | --- |\n| Sprinkles | 5 |\n| Champ | -6 |" } ] }, { "id": "18452", "image": "18452.png", "conversations": [ { "from": "human", "question": "An architecture student measured the heights of all the buildings downtown. How many buildings are less than 67 meters tall?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 3, 4, and 5.\n\nIn the row with stem 6, count all the leaves less than 7.\n\nYou counted 16 leaves, which are blue in the stem-and-leaf plots above. 16 buildings are less than 67 meters tall.", "answer": "16", "table": "**Building heights (meters)**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 2, 7, 8, 9, 9 |\n| 4 | 0, 4, 4, 6 |\n| 5 | 3, 4, 5, 9 |\n| 6 | 1, 2, 4 |" } ] }, { "id": "18457", "image": "18457.png", "conversations": [ { "from": "human", "question": "Sue has $54.00. Does she have enough to buy a bicycle and a swimsuit?\n" }, { "from": "gpt", "solution": "Add the price of a bicycle and the price of a swimsuit:\n\n$43.00 + $15.00 = $58.00\n\n$58.00 is more than $54.00. Sue does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| softball glove | $21.00 |\n| swimsuit | $15.00 |\n| bowling ball | $40.00 |\n| bicycle helmet | $16.00 |\n| bicycle | $43.00 |" } ] }, { "id": "18460", "image": "18460.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does the parks department meeting end?\n" }, { "from": "gpt", "solution": "Find the parks department meeting on the schedule. Find the end time for the parks department meeting.\n\nparks department meeting: 4:55 P. M.", "answer": "4:55 P.M.", "table": "**City government schedule**\n\n| Meeting | Begin | End |\n| --- | --- | --- |\n| police meeting | 9:40 A.M. | 11:00 A.M. |\n| library meeting | 10:45 A.M. | 11:55 A.M. |\n| city council meeting | 12:20 P.M. | 1:50 P.M. |\n| budget meeting | 2:00 P.M. | 2:45 P.M. |\n| parks department meeting | 3:20 P.M. | 4:55 P.M. |\n| fire department meeting | 5:15 P.M. | 6:10 P.M. |" } ] }, { "id": "18464", "image": "18464.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{17 - 14}{15 - 14}\n = \\frac{3}{1}\n = 3\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{20 - 14}{16 - 14}\n = \\frac{6}{2}\n = 3\nThe two rates of change are the same.\nIf you checked the rate of change between rows 2 and 3, you would find that it is also 3.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 14 | 14 |\n| 15 | 17 |\n| 16 | 20 |" } ] }, { "id": "18465", "image": "18465.png", "conversations": [ { "from": "human", "question": "Julie wants to buy 0.8 pounds of glass beads. How much will she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the glass beads. Multiply the price per pound by the number of pounds.\n$8 × 0.8 = $6.40\nShe will spend $6.40.", "answer": "6.40", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| crystal beads | $10/lb |\n| ceramic beads | $10/lb |\n| wooden beads | $11/lb |\n| plastic beads | $7/lb |\n| glass beads | $8/lb |\n| paper beads | $10/lb |" } ] }, { "id": "18466", "image": "18466.png", "conversations": [ { "from": "human", "question": "The owner of a plant nursery wrote down the number of roses on each bush. What is the smallest number of roses?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 1.\n\nNow find the lowest leaf in the first row. The lowest leaf is 1.\n\nThe smallest number of roses has a stem of 1 and a leaf of 1. Write the stem first, then the leaf: 11.\n\nThe smallest number of roses is 11 roses.", "answer": "11", "table": "**Roses per bush**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1, 3, 7 |\n| 2 | 6 |\n| 3 | 1, 3, 9 |\n| 4 | 3, 6, 9 |\n| 5 | 1, 6 |\n| 6 | 3, 6 |\n| 7 | 5, 7 |\n| 8 | 7, 7 |\n| 9 | 0, 0 |" } ] }, { "id": "18468", "image": "18468.png", "conversations": [ { "from": "human", "question": "If Natalie buys 2 pounds of oatmeal and 4 pounds of wheat flakes, how much will she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the oatmeal. Multiply:\n\n$3.24 × 2 = $6.48\n\nFind the cost of the wheat flakes. Multiply:\n\n$5.80 × 4 = $23.20\n\nNow find the total cost by adding:\n\n$6.48 + $23.20 = $29.68\n\nShe will spend $29.68.", "answer": "29.68", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| wheat flakes | $5.80/pound |\n| granola | $3.38/pound |\n| rice crisps | $2.39/pound |\n| oatmeal | $3.24/pound |\n| bran flakes | $3.64/pound |" } ] }, { "id": "18477", "image": "18477.png", "conversations": [ { "from": "human", "question": "Megan counted the number of peanuts in each bag of trail mix. What is the largest number of peanuts?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 5.\n\nNow find the highest leaf in the last row. The highest leaf is 8.\n\nThe largest number of peanuts has a stem of 5 and a leaf of 8. Write the stem first, then the leaf: 58.\n\nThe largest number of peanuts is 58 peanuts.", "answer": "58", "table": "**Peanuts per bag of trail mix**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 3, 4, 5, 6, 7, 9 |\n| 3 | 6 |\n| 4 | |\n| 5 | 7, 8 |" } ] }, { "id": "18479", "image": "18479.png", "conversations": [ { "from": "human", "question": "Ms. Baldwin reported her students' scores on the most recent quiz. How many students scored fewer than 30 points?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1 and 2.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 students scored fewer than 30 points.", "answer": "3", "table": "**Quiz scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 4, 5, 5 |\n| 2 | |\n| 3 | 2, 7 |\n| 4 | 6, 7 |" } ] }, { "id": "18484", "image": "18484.png", "conversations": [ { "from": "human", "question": "A farmer wrote down how many kilograms of cherries were sold in the past 5 days. How many kilograms of cherries in total were sold on Sunday and Tuesday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nSunday: 201\nTuesday: 116\n\nNow add: 201 + 116 = 317.\n\n317 kilograms of cherries were sold on Sunday and Tuesday.", "answer": "317", "table": "**Cherries sold**\n\n| Day | Kilograms |\n| --- | --- |\n| Saturday | 340 |\n| Sunday | 201 |\n| Monday | 503 |\n| Tuesday | 116 |\n| Wednesday | 268 |" } ] }, { "id": "18492", "image": "18492.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $20, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $20, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $20 | 21,900 | 6,400 |\n| $180 | 21,000 | 6,700 |\n| $340 | 20,100 | 7,000 |\n| $500 | 19,200 | 7,300 |\n| $660 | 18,300 | 7,600 |" } ] }, { "id": "18503", "image": "18503.png", "conversations": [ { "from": "human", "question": "While doing a project for P. E. class, Katy researched the number of athletes competing in an international sporting event. How many countries have exactly 13 athletes?\n" }, { "from": "gpt", "solution": "For the number 13, the stem is 1, and the leaf is 3. Find the row where the stem is 1. In that row, count all the leaves equal to 3.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 countries have exactly13 athletes.", "answer": "2", "table": "**Athletes per country**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1, 3, 3 |\n| 2 | 0, 1, 2, 5, 7, 9, 9 |\n| 3 | 4, 5, 7, 8 |\n| 4 | 1 |\n| 5 | 2, 4, 5, 5, 6, 6, 8 |\n| 6 | 1, 6 |" } ] }, { "id": "18509", "image": "18509.png", "conversations": [ { "from": "human", "question": "How much would it cost to buy 4 kilograms of felt scraps, 1 kilogram of faux fur scraps, and 2 kilograms of canvas scraps?\n" }, { "from": "gpt", "solution": "Find the cost of the felt scraps. Multiply:\n\n$5 × 4 = $20\n\nFind the cost of the faux fur scraps. Multiply:\n\n$5 × 1 = $5\n\nFind the cost of the canvas scraps. Multiply:\n\n$3 × 2 = $6\n\nNow find the total cost by adding:\n\n$20 + $5 + $6 = $31\n\nIt would cost $31.", "answer": "31", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| felt scraps | $5 per kilogram |\n| silk scraps | $5 per kilogram |\n| faux fur scraps | $5 per kilogram |\n| canvas scraps | $3 per kilogram |" } ] }, { "id": "18515", "image": "18515.png", "conversations": [ { "from": "human", "question": "Several children compared how many thank-you notes they had written during the previous month. How many children wrote exactly 1 thank-you note?\n" }, { "from": "gpt", "solution": "Find the row for 1 thank-you note and read the frequency. The frequency is 10.\n\n10 children wrote exactly1 thank-you note.", "answer": "10", "table": "**Writing thank-you notes**\n\n| Thank-you notes written | Frequency |\n| --- | --- |\n| 0 | 3 |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 16 |" } ] }, { "id": "18517", "image": "18517.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Erin got on the train at downtown at 11.15 A.M. What time will she get to the theater district?\n" }, { "from": "gpt", "solution": "Find 11:15 A. M. in the row for downtown. That column shows the schedule for the train that Erin is on.\n\nLook down the column until you find the row for the theater district.\n\nErin will get to the theater district at 12:15 P. M.", "answer": "12:15 P.M.", "table": "**Subway train schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 | Column 5 | Column 6 |\n| --- | --- | --- | --- | --- | --- |\n| waterfront | 9:30 A.M. | 10:00 A.M. | 10:15 A.M. | 10:30 A.M. | 10:45 A.M. |\n| downtown | 10:15 A.M. | 10:45 A.M. | 11:00 A.M. | 11:15 A.M. | 11:30 A.M. |\n| theater district | 11:15 A.M. | 11:45 A.M. | 12:00 P.M. | 12:15 P.M. | 12:30 P.M. |\n| restaurant district | 12:00 P.M. | 12:30 P.M. | 12:45 P.M. | 1:00 P.M. | 1:15 P.M. |\n| shopping district | 1:00 P.M. | 1:30 P.M. | 1:45 P.M. | 2:00 P.M. | 2:15 P.M. |" } ] }, { "id": "18518", "image": "18518.png", "conversations": [ { "from": "human", "question": "How much money does Quinn need to buy 9 swimming caps and 2 swimsuits?\n" }, { "from": "gpt", "solution": "Find the cost of 9 swimming caps.\n\n$4.72 × 9 = $42.48\n\nFind the cost of 2 swimsuits.\n\n$9.64 × 2 = $19.28\n\nNow find the total cost.\n\n$42.48 + $19.28 = $61.76\n\nQuinn needs $61.76.", "answer": "61.76", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| swimming cap | $4.72 |\n| jump rope | $3.84 |\n| swimsuit | $9.64 |\n| baseball | $2.75 |\n| soccer ball | $8.53 |" } ] }, { "id": "18521", "image": "18521.png", "conversations": [ { "from": "human", "question": "How much money does Deb need to buy a smooth piece of sea glass and a quartz crystal?\n" }, { "from": "gpt", "solution": "Add the price of a smooth piece of sea glass and the price of a quartz crystal:\n\n$0.24 + $0.70 = $0.94\n\nDeb needs $0.94.", "answer": "0.94", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| piece of black obsidian | $0.81 |\n| quartz crystal | $0.70 |\n| smooth piece of sea glass | $0.24 |\n| piece of fool's gold | $0.17 |\n| pumice stone | $0.73 |" } ] }, { "id": "18525", "image": "18525.png", "conversations": [ { "from": "human", "question": "If Akira buys 2 kilograms of cherries, how much will she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the cherries. Multiply the price per kilogram by the number of kilograms.\n\n$1.39 × 2 = $2.78\n\nShe will spend $2.78.", "answer": "2.78", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| grapes | $2.05 per kilogram |\n| bananas | $0.41 per kilogram |\n| cherries | $1.39 per kilogram |\n| apricots | $2.06 per kilogram |" } ] }, { "id": "18530", "image": "18530.png", "conversations": [ { "from": "human", "question": "Damon has $30.00. Does he have enough to buy a book about trains and a book about baseball?\n" }, { "from": "gpt", "solution": "Add the price of a book about trains and the price of a book about baseball:\n\n$13.00 + $18.00 = $31.00\n\n$31.00 is more than $30.00. Damon does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| book about animals | $11.00 |\n| book about ballet | $20.00 |\n| book about baseball | $18.00 |\n| book about South America | $11.00 |\n| book about trains | $13.00 |" } ] }, { "id": "18536", "image": "18536.png", "conversations": [ { "from": "human", "question": "Each vase has 5 poppies. How many poppies are in 4 vases?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 20 poppies in 4 vases.", "answer": "20", "table": "| Number of vases | Number of poppies |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | ? |" } ] }, { "id": "18538", "image": "18538.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which class begins at 1.40 P.M.?\n" }, { "from": "gpt", "solution": "Find 1:40 P. M. on the schedule. Orchestra begins at 1:40 P. M.", "answer": "Orchestra", "table": "**Music teacher's schedule**\n\n| Class | Begin | End |\n| --- | --- | --- |\n| Fifth Grade Choir | 7:30 A.M. | 8:55 A.M. |\n| Advanced Band | 9:00 A.M. | 10:20 A.M. |\n| Introduction to Jazz | 10:25 A.M. | 11:50 A.M. |\n| Beginning Band | 12:05 P.M. | 1:30 P.M. |\n| Orchestra | 1:40 P.M. | 2:50 P.M. |\n| Rhythm and Drums | 3:05 P.M. | 4:25 P.M. |" } ] }, { "id": "18548", "image": "18548.png", "conversations": [ { "from": "human", "question": "How much money does Hassan need to buy 2 fishing poles?\n" }, { "from": "gpt", "solution": "Find the total cost of 2 fishing poles by multiplying 2 times the price of a fishing pole.\n\n$26 × 2 = $52\n\nHassan needs $52.", "answer": "52", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| volleyball | $16 |\n| bowling ball | $34 |\n| fishing pole | $26 |\n| volleyball net | $11 |\n| bicycle helmet | $20 |" } ] }, { "id": "18565", "image": "18565.png", "conversations": [ { "from": "human", "question": "A city recorded how many people rode the subway each day. How many people in total rode the subway on Thursday and Saturday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nThursday: 8,154\nSaturday: 8,859\n\nNow add: 8,154 + 8,859 = 17,013.\n\n17,013 people rode the subway on Thursday and Saturday.", "answer": "17,013", "table": "**Subway riders**\n\n| Day | Number of riders |\n| --- | --- |\n| Thursday | 8,154 |\n| Friday | 1,074 |\n| Saturday | 8,859 |\n| Sunday | 7,596 |\n| Monday | 2,179 |" } ] }, { "id": "18577", "image": "18577.png", "conversations": [ { "from": "human", "question": "Shannon buys 1 kilogram of granola and 4 kilograms of steel-cut oats. What is the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the granola. Multiply:\n\n$0.59 × 1 = $0.59\n\nFind the cost of the steel-cut oats. Multiply:\n\n$0.73 × 4 = $2.92\n\nNow find the total cost by adding:\n\n$0.59 + $2.92 = $3.51\n\nThe total cost is $3.51.", "answer": "3.51", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| granola | $0.59 per kg |\n| old-fashioned oatmeal | $0.80 per kg |\n| quick oatmeal | $0.78 per kg |\n| steel-cut oats | $0.73 per kg |\n| instant oatmeal | $0.66 per kg |" } ] }, { "id": "18579", "image": "18579.png", "conversations": [ { "from": "human", "question": "The newspaper photographer logged how many pictures he had taken during the past 4 days. On which day did the photographer take the most pictures?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 29.\n\nNow find the corresponding day. Sunday corresponds to 29.", "answer": "Sunday", "table": "**Pictures taken**\n\n| Day | Number of pictures |\n| --- | --- |\n| Friday | 28 |\n| Saturday | 21 |\n| Sunday | 29 |\n| Monday | 26 |" } ] }, { "id": "18582", "image": "18582.png", "conversations": [ { "from": "human", "question": "Nicholas went on a vacation to an amusement park and counted how many rides he went on each day. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 6, 8, 7, 5, 6, 8\n\nFirst, arrange the numbers from least to greatest:\n\n5, 6, 6, 7, 8, 8, 9\n\nNow find the number in the middle.\n\n5, 6, 6, 7, 8, 8, 9\n\nThe number in the middle is 7.\n\nThe median is 7.", "answer": "7", "table": "**Amusement park rides**\n\n| Day | Number of rides |\n| --- | --- |\n| Monday | 9 |\n| Tuesday | 6 |\n| Wednesday | 8 |\n| Thursday | 7 |\n| Friday | 5 |\n| Saturday | 6 |\n| Sunday | 8 |" } ] }, { "id": "18584", "image": "18584.png", "conversations": [ { "from": "human", "question": "A video store clerk looked up the number of movies checked out each day. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n96, 93, 95, 92, 94\n\nFirst, count how many numbers are in the group.\n\nThere are 5 numbers.\n\nNow add all the numbers together:\n\n96 + 93 + 95 + 92 + 94 = 470\n\nNow divide the sum by the number of numbers:\n\n470 ÷ 5 = 94\n\nThe mean is 94.", "answer": "94", "table": "**Movies checked out**\n\n| Day | Number of movies |\n| --- | --- |\n| Sunday | 96 |\n| Monday | 93 |\n| Tuesday | 95 |\n| Wednesday | 92 |\n| Thursday | 94 |" } ] }, { "id": "18588", "image": "18588.png", "conversations": [ { "from": "human", "question": "Brad counted the pages in each book on his English class's required reading list. How many books had exactly 72 pages?\n" }, { "from": "gpt", "solution": "For the number 72, the stem is 7, and the leaf is 2. Find the row where the stem is 7. In that row, count all the leaves equal to 2.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 books had exactly 72 pages.", "answer": "3", "table": "**Pages per book**\n\n| Stem | Leaf |\n| --- | --- |\n| 6 | 1, 1, 3, 3, 4, 7 |\n| 7 | 0, 0, 2, 2, 2, 4, 9 |\n| 8 | 0, 0, 2, 3, 5, 6, 7, 8, 8 |\n| 9 | 0, 0 |" } ] }, { "id": "18591", "image": "18591.png", "conversations": [ { "from": "human", "question": "The city recorded how many fire hydrants there are on each street. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n19, 15, 19, 15, 8, 15\n\nFirst, arrange the numbers from least to greatest:\n\n8, 15, 15, 15, 19, 19\n\nNow count how many times each number appears.\n\n8 appears 1 time.\n15 appears 3 times.\n19 appears 2 times.\n\nThe number that appears most often is 15.\n\nThe mode is 15.", "answer": "15", "table": "**Fire hydrants**\n\n| Street | Number of hydrants |\n| --- | --- |\n| Fir Street | 19 |\n| Oak Street | 15 |\n| Rose Street | 19 |\n| Lemon Street | 15 |\n| Elm Street | 8 |\n| Cedar Street | 15 |" } ] }, { "id": "18592", "image": "18592.png", "conversations": [ { "from": "human", "question": "A parent volunteer counted the number of boxes sold by each student participating in the cookie fundraiser. How many students are there in all?\n" }, { "from": "gpt", "solution": "Add the frequencies for each row.\n\nAdd:\n\n8 + 1 + 15 + 2 = 26\n\nThere are 26 students in all.", "answer": "26", "table": "**Selling cookies**\n\n| Boxes sold | Frequency |\n| --- | --- |\n| 1 | 8 |\n| 2 | 1 |\n| 3 | 15 |\n| 4 | 2 |" } ] }, { "id": "18604", "image": "18604.png", "conversations": [ { "from": "human", "question": "Toby has $6. Does he have enough to buy a pair of shorts and a pair of jeans?\n" }, { "from": "gpt", "solution": "Add the price of a pair of shorts and the price of a pair of jeans:\n\n$4 + $4 = $8\n\n$8 is more than $6. Toby does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pair of black socks | $6 |\n| pair of shorts | $4 |\n| white polo shirt | $7 |\n| orange T-shirt | $4 |\n| long-sleeved shirt | $5 |\n| pair of jeans | $4 |" } ] }, { "id": "18606", "image": "18606.png", "conversations": [ { "from": "human", "question": "Mrs. Hatfield hosts an annual art contest for kids, and she keeps a record of the number of entries each year. According to the table, what was the rate of change between 2008 and 2009?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{18 entries - 17 entries}{2009 - 2008}\n = \\frac{18 entries - 17 entries}{1 year}\n = \\frac{1 entry}{1 year}\n = 1 entry per year\nThe rate of change between 2008 and 2009 was 1 entry per year.", "answer": "1", "table": "**Art contest entries**\n\n| Year | Number of entries |\n| --- | --- |\n| 2006 | 29 |\n| 2007 | 34 |\n| 2008 | 17 |\n| 2009 | 18 |\n| 2010 | 23 |" } ] }, { "id": "18607", "image": "18607.png", "conversations": [ { "from": "human", "question": "The players on a quiz show received the following scores. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 4, 4, 3, 5, 3, 10, 10\n\nFirst, count how many numbers are in the group.\n\nThere are 8 numbers.\n\nNow add all the numbers together:\n\n9 + 4 + 4 + 3 + 5 + 3 + 10 + 10 = 48\n\nNow divide the sum by the number of numbers:\n\n48 ÷ 8 = 6\n\nThe mean is 6.", "answer": "6", "table": "**Quiz show scores**\n\n| Name | Score |\n| --- | --- |\n| Arianna | 9 |\n| Joel | 4 |\n| Carson | 4 |\n| Nate | 3 |\n| Damon | 5 |\n| Henry | 3 |\n| Mackenzie | 10 |\n| Ian | 10 |" } ] }, { "id": "18609", "image": "18609.png", "conversations": [ { "from": "human", "question": "How much money does Brenna need to buy 5 gold rings?\n" }, { "from": "gpt", "solution": "Find the total cost of 5 gold rings by multiplying 5 times the price of a gold ring.\n\n$652 × 5 = $3,260\n\nBrenna needs $3,260.", "answer": "3,260", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| ruby bracelet | $576 |\n| garnet pendant | $982 |\n| gold ring | $652 |\n| pearl necklace | $611 |\n| diamond pendant | $531 |" } ] }, { "id": "18619", "image": "18619.png", "conversations": [ { "from": "human", "question": "A farmer wrote down how many kilograms of cherries were sold in the past 6 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n95, 54, 84, 70, 83, 76\n\nFirst, find the greatest number. The greatest number is 95.\n\nNext, find the least number. The least number is 54.\n\nSubtract the least number from the greatest number:\n\n95 − 54 = 41\n\nThe range is 41.", "answer": "41", "table": "**Cherries sold**\n\n| Day | Kilograms |\n| --- | --- |\n| Monday | 95 |\n| Tuesday | 54 |\n| Wednesday | 84 |\n| Thursday | 70 |\n| Friday | 83 |\n| Saturday | 76 |" } ] }, { "id": "18621", "image": "18621.png", "conversations": [ { "from": "human", "question": "A band from Arlington went on tour over the summer, and each member chipped in for the cost of gas. What fraction of the gas money came from Devon? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how much money Devon contributed for gas.\n\n690\n\nFind how much money was contributed for gas in total.\n\n480 + 690 + 100 = 1,270\n\nDivide 690 by1,270.\n\n\\frac{690}{1,270}\n\nReduce the fraction.\n\n\\frac{690}{1,270} → \\frac{69}{127}\n\n\\frac{69}{127} of Find how much money Devon contributed for gas.", "answer": "69/127", "table": "**Band tour gas costs**\n\n| Band member | Contribution ($) |\n| --- | --- |\n| Vince | 480 |\n| Devon | 690 |\n| Tara | 100 |" } ] }, { "id": "18628", "image": "18628.png", "conversations": [ { "from": "human", "question": "Look at this table. Is this relation a function?\n" }, { "from": "gpt", "solution": "Look at the x-values in the table.\n\nEach of the x-values is paired with only one y-value, so the relation is a function.", "answer": "yes", "table": "| x | y |\n| --- | --- |\n| 17 | 16 |\n| 3 | 14 |\n| 7 | 3 |\n| 20 | 6 |" } ] }, { "id": "18630", "image": "18630.png", "conversations": [ { "from": "human", "question": "While looking through an almanac at the library, Felix noticed some data showing the population density of various states. How many more people per square mile lived in Idaho in 2000 than in 1990?\n" }, { "from": "gpt", "solution": "Find the Idaho row. Find the numbers in this row for 2000 and 1990.\n\n2000: 15\n1990: 12\n\nNow subtract:\n\n15 − 12 = 3\n\n3 more people per square mile lived in Idaho in 2000 than in 1990.", "answer": "3", "table": "**Population per square mile**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| State | 1990 | 2000 |\n| Idaho | 12 | 15 |\n| Nevada | 10 | 18 |\n| Wyoming | 4 | 5 |\n| New Mexico | 12 | 15 |" } ] }, { "id": "18645", "image": "18645.png", "conversations": [ { "from": "human", "question": "Each platter has 5 pears. How many pears are on 4 platters?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 20 pears on 4 platters.", "answer": "20", "table": "| Number of platters | Number of pears |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | ? |" } ] }, { "id": "18652", "image": "18652.png", "conversations": [ { "from": "human", "question": "In science class, Alexa is measuring the temperature of different chemical mixtures. The temperatures of two mixtures are shown in the table. Which mixture's temperature is closest to zero?\n" }, { "from": "gpt", "solution": "A positive number means the temperature is above zero. A negative number means the temperature is below zero.\nTo find the temperature closest to zero, use absolute value. The absolute value of a temperature tells you how far it is from zero.\nBromine mixture: |-4| = 4\nAcetone mixture: |5| = 5\nThe temperature of the bromine mixture is closest to zero. It is only 4 degrees below zero.", "answer": "bromine mixture", "table": "| Mixture | Temperature (°C) |\n| --- | --- |\n| Bromine mixture | -4 |\n| Acetone mixture | 5 |" } ] }, { "id": "18663", "image": "18663.png", "conversations": [ { "from": "human", "question": "Gabriel and his friends recorded their scores while playing a board game. How many people scored at least 8?\n" }, { "from": "gpt", "solution": "Find the rows for 8, 9, and 10. Add the frequencies for these rows.\n\nAdd:\n\n14 + 20 + 17 = 51\n\n51 people scored at least 8.", "answer": "51", "table": "**Scores on a board game**\n\n| Score | Frequency |\n| --- | --- |\n| 6 | 9 |\n| 7 | 3 |\n| 8 | 14 |\n| 9 | 20 |\n| 10 | 17 |" } ] }, { "id": "18665", "image": "18665.png", "conversations": [ { "from": "human", "question": "Some friends played a trivia game and recorded their scores. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n1, 9, 6, 6, 4, 2, 7\n\nFirst, arrange the numbers from least to greatest:\n\n1, 2, 4, 6, 6, 7, 9\n\nNow find the number in the middle.\n\n1, 2, 4, 6, 6, 7, 9\n\nThe number in the middle is 6.\n\nThe median is 6.", "answer": "6", "table": "**Trivia game scores**\n\n| Name | Score |\n| --- | --- |\n| Kenny | 1 |\n| Mabel | 9 |\n| Patty | 6 |\n| Farid | 6 |\n| Ryan | 4 |\n| Christine | 2 |\n| Beth | 7 |" } ] }, { "id": "18677", "image": "18677.png", "conversations": [ { "from": "human", "question": "How much more does an iguana cost than a rabbit?\n" }, { "from": "gpt", "solution": "Subtract the price of a rabbit from the price of an iguana.\n\n$25 - $20 = $5\n\nAn iguana costs $5 more than a rabbit.", "answer": "5", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| iguana | $25 |\n| rabbit | $20 |\n| cockatoo | $55 |\n| hedgehog | $72 |\n| tarantula | $39 |\n| chinchilla | $36 |" } ] }, { "id": "18678", "image": "18678.png", "conversations": [ { "from": "human", "question": "How much more does a baseball bat cost than a bicycle helmet?\n" }, { "from": "gpt", "solution": "Subtract the price of a bicycle helmet from the price of a baseball bat.\n\n$21.00 - $16.00 = $5.00\n\nA baseball bat costs $5.00 more than a bicycle helmet.", "answer": "5", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| baseball helmet | $19.00 |\n| tennis racquet | $30.00 |\n| bicycle helmet | $16.00 |\n| baseball bat | $21.00 |\n| volleyball | $16.00 |\n| baseball glove | $27.00 |" } ] }, { "id": "18687", "image": "18687.png", "conversations": [ { "from": "human", "question": "The gym teacher wrote down how many tennis balls his students hit in half an hour. Which student hit the most tennis balls?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 296.\n\nNow find the corresponding name. Dana corresponds to 296.", "answer": "Dana", "table": "**Hitting tennis balls**\n\n| Name | Number of tennis balls |\n| --- | --- |\n| Porter | 226 |\n| Bert | 269 |\n| Emilia | 292 |\n| Dana | 296 |" } ] }, { "id": "18690", "image": "18690.png", "conversations": [ { "from": "human", "question": "Bella kept a driving log to see how many miles she drove each day. On which day did Bella drive the most miles?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 29.\n\nNow find the corresponding day. Saturday corresponds to 29.", "answer": "Saturday", "table": "**Miles driven**\n\n| Day | Number of miles |\n| --- | --- |\n| Wednesday | 24 |\n| Thursday | 26 |\n| Friday | 22 |\n| Saturday | 29 |" } ] }, { "id": "18702", "image": "18702.png", "conversations": [ { "from": "human", "question": "How much money does Brianna need to buy a pair of googly eyes and a tube of paste?\n" }, { "from": "gpt", "solution": "Add the price of a pair of googly eyes and the price of a tube of paste:\n\n$0.60 + $0.74 = $1.34\n\nBrianna needs $1.34.", "answer": "1.34", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| tube of paste | $0.74 |\n| spool of gold wire | $0.75 |\n| refrigerator magnet | $0.66 |\n| sheet of star stickers | $0.55 |\n| pair of googly eyes | $0.60 |\n| shiny red button | $0.18 |" } ] }, { "id": "18704", "image": "18704.png", "conversations": [ { "from": "human", "question": "Several people compared how many Web pages they had visited. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n5, 8, 9, 8, 4, 8\n\nFirst, count how many numbers are in the group.\n\nThere are 6 numbers.\n\nNow add all the numbers together:\n\n5 + 8 + 9 + 8 + 4 + 8 = 42\n\nNow divide the sum by the number of numbers:\n\n42 ÷ 6 = 7\n\nThe mean is 7.", "answer": "7", "table": "**Web pages visited**\n\n| Person | Number of Web pages |\n| --- | --- |\n| Nellie | 5 |\n| Louis | 8 |\n| Grayson | 9 |\n| Zack | 8 |\n| Jasmine | 4 |\n| Perry | 8 |" } ] }, { "id": "18706", "image": "18706.png", "conversations": [ { "from": "human", "question": "A doctor's records revealed how many patients he saw each month. How many patients did the doctor see in total in November and February?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nNovember: 1,907\nFebruary: 1,966\n\nNow add: 1,907 + 1,966 = 3,873.\n\nThe doctor saw 3,873 patients in November and February.", "answer": "3,873", "table": "**Patients seen**\n\n| Month | Number of patients |\n| --- | --- |\n| October | 1,004 |\n| November | 1,907 |\n| December | 1,381 |\n| January | 1,908 |\n| February | 1,966 |" } ] }, { "id": "18723", "image": "18723.png", "conversations": [ { "from": "human", "question": "A dietitian noted the number of apples eaten by her clients last week. How many clients ate at least 3 apples last week?\n" }, { "from": "gpt", "solution": "Find the rows for 3 and 4 apples last week. Add the frequencies for these rows.\n\nAdd:\n\n4 + 1 = 5\n\n5 clients ate at least 3 apples last week.", "answer": "5", "table": "**Eating apples last week**\n\n| Apples eaten | Frequency |\n| --- | --- |\n| 0 | 8 |\n| 1 | 15 |\n| 2 | 18 |\n| 3 | 4 |\n| 4 | 1 |" } ] }, { "id": "18727", "image": "18727.png", "conversations": [ { "from": "human", "question": "Helen looked at her calendar to figure out how much time she spent babysitting each month. In which month did Helen babysit the most?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 29.\n\nNow find the corresponding month. February corresponds to 29.", "answer": "February", "table": "**Hours of babysitting**\n\n| Month | Hours |\n| --- | --- |\n| December | 23 |\n| January | 22 |\n| February | 29 |\n| March | 26 |" } ] }, { "id": "18733", "image": "18733.png", "conversations": [ { "from": "human", "question": "Look at this table. Is this relation a function?\n" }, { "from": "gpt", "solution": "Look at the x-values in the table.\n\nThe x-value 16 is paired with multiple y-values, so the relation is not a function.", "answer": "no", "table": "| x | y |\n| --- | --- |\n| 16 | 2 |\n| 3 | 8 |\n| 16 | 13 |" } ] }, { "id": "18736", "image": "18736.png", "conversations": [ { "from": "human", "question": "Jenny graphed the daily high temperature for 4 days. Which day had the highest temperature?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 29.\n\nNow find the corresponding day. Tuesday corresponds to 29.", "answer": "Tuesday", "table": "**Daily high temperature**\n\n| Day | Temperature (°C) |\n| --- | --- |\n| Tuesday | 29 |\n| Wednesday | 26 |\n| Thursday | 23 |\n| Friday | 25 |" } ] }, { "id": "18753", "image": "18753.png", "conversations": [ { "from": "human", "question": "How much more does baked chicken cost than a pepperoni pizza?\n" }, { "from": "gpt", "solution": "Subtract the price of a pepperoni pizza from the price of baked chicken.\n\n$20 - $13 = $7\n\nBaked chicken costs $7 more than a pepperoni pizza.", "answer": "7", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pepperoni pizza | $13 |\n| baked ziti | $14 |\n| pasta with pesto sauce | $13 |\n| baked chicken | $20 |" } ] }, { "id": "18755", "image": "18755.png", "conversations": [ { "from": "human", "question": "On the first day of music class, students submitted a survey. One survey question asked students to report which music genre they prefer. Another question asked students how frequently they sing in the shower. What is the probability that a randomly selected student prefers rock and sings in the shower 1-2 times a week? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the student prefers rock\" and B be the event \"the student sings in the shower 1-2 times a week\".\nTo find the probability that a student prefers rock and sings in the shower 1-2 times a week, first identify the sample space and the event.\nThe outcomes in the sample space are the different students. Each student is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the student prefers rock and sings in the shower 1-2 times a week\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the student prefers rock and sings in the shower 1-2 times a week\", so look at the table to see how many students prefer rock and sing in the shower 1-2 times a week.\nThe number of students who prefer rock and sing in the shower 1-2 times a week is 2.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of students.\n6 + 7 + 5 + 2 = 20\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{2}{20}\n = \\frac{1}{10}\nThe probability that a student prefers rock and sings in the shower 1-2 times a week is \\frac{1}{10}.", "answer": "1/10", "table": "| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| | 0 times a week | 1-2 times a week |\n| Country | 6 | 5 |\n| Rock | 7 | 2 |" } ] }, { "id": "18761", "image": "18761.png", "conversations": [ { "from": "human", "question": "Roy's classmates revealed how many science articles they read. Together, how many science articles did Roy and Latrell read?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nRoy: 417\nLatrell: 103\n\nNow add: 417 + 103 = 520.\n\nRoy and Latrell read 520 science articles.", "answer": "520", "table": "**Science articles read**\n\n| Name | Number of science articles |\n| --- | --- |\n| Roy | 417 |\n| Latrell | 103 |\n| Maya | 453 |" } ] }, { "id": "18762", "image": "18762.png", "conversations": [ { "from": "human", "question": "Look at this table. Is this relation a function?\n" }, { "from": "gpt", "solution": "Look at the x-values in the table.\n\nThe x-value 3 is paired with multiple y-values, so the relation is not a function.", "answer": "no", "table": "| x | y |\n| --- | --- |\n| 3 | 2 |\n| 3 | 3 |\n| 15 | 8 |" } ] }, { "id": "18763", "image": "18763.png", "conversations": [ { "from": "human", "question": "Tamir kept track of how long it took to finish his homework each day. According to the table, what was the rate of change between Monday and Tuesday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{39 minutes - 35 minutes}{1 day}\n = \\frac{4 minutes}{1 day}\n = 4 minutes per day\nThe rate of change between Monday and Tuesday was 4 minutes per day.", "answer": "4", "table": "**Time Tamir spent on homework**\n\n| Day | Minutes |\n| --- | --- |\n| Monday | 35 |\n| Tuesday | 39 |\n| Wednesday | 29 |\n| Thursday | 32 |\n| Friday | 36 |" } ] }, { "id": "18767", "image": "18767.png", "conversations": [ { "from": "human", "question": "A front desk clerk looked up how many guests the hotel had each day. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n100, 97, 99, 100, 97, 97, 98\n\nFirst, arrange the numbers from least to greatest:\n\n97, 97, 97, 98, 99, 100, 100\n\nNow find the number in the middle.\n\n97, 97, 97, 98, 99, 100, 100\n\nThe number in the middle is 98.\n\nThe median is 98.", "answer": "98", "table": "**Hotel guests**\n\n| Day | Number of guests |\n| --- | --- |\n| Saturday | 100 |\n| Sunday | 97 |\n| Monday | 99 |\n| Tuesday | 100 |\n| Wednesday | 97 |\n| Thursday | 97 |\n| Friday | 98 |" } ] }, { "id": "18770", "image": "18770.png", "conversations": [ { "from": "human", "question": "Some students compared how many clubs they belong to. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n5, 6, 3, 4, 8, 10\n\nFirst, count how many numbers are in the group.\n\nThere are 6 numbers.\n\nNow add all the numbers together:\n\n5 + 6 + 3 + 4 + 8 + 10 = 36\n\nNow divide the sum by the number of numbers:\n\n36 ÷ 6 = 6\n\nThe mean is 6.", "answer": "6", "table": "**Clubs**\n\n| Name | Number of clubs |\n| --- | --- |\n| Rudy | 5 |\n| Luther | 6 |\n| Kendrick | 3 |\n| David | 4 |\n| Jayce | 8 |\n| Sophia | 10 |" } ] }, { "id": "18789", "image": "18789.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $840, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $840, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $640 | 21,600 | 2,000 |\n| $690 | 20,200 | 5,700 |\n| $740 | 18,800 | 9,400 |\n| $790 | 17,400 | 13,100 |\n| $840 | 16,000 | 16,800 |" } ] }, { "id": "18791", "image": "18791.png", "conversations": [ { "from": "human", "question": "How much money does Emir need to buy 7 pieces of gum?\n" }, { "from": "gpt", "solution": "Find the total cost of 7 pieces of gum by multiplying 7 times the price of a piece of gum.\n\n$0.15 × 7 = $1.05\n\nEmir needs $1.05.", "answer": "1.05", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| piece of licorice | $0.13 |\n| chocolate-covered cherry | $0.27 |\n| lemon drop | $0.17 |\n| gummy worm | $0.10 |\n| piece of gum | $0.15 |" } ] }, { "id": "18801", "image": "18801.png", "conversations": [ { "from": "human", "question": "As part of a statistics project, a math class weighed all the children who were willing to participate. How many children weighed at least 20 pounds but less than 30 pounds?\n" }, { "from": "gpt", "solution": "Count all the leaves in the row with stem 2.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 children weighed at least 20 pounds but less than 30 pounds.", "answer": "2", "table": "**Children's weights (lbs)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 4, 6, 7 |\n| 2 | 2, 2 |\n| 3 | 2, 9 |\n| 4 | 3 |" } ] }, { "id": "18807", "image": "18807.png", "conversations": [ { "from": "human", "question": "How much money does Marvin need to buy a picture book and a coloring book?\n" }, { "from": "gpt", "solution": "Add the price of a picture book and the price of a coloring book:\n\n$15 + $16 = $31\n\nMarvin needs $31.", "answer": "31", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| history book | $16 |\n| poetry book | $13 |\n| crossword puzzle book | $21 |\n| geography book | $18 |\n| picture book | $15 |\n| coloring book | $16 |" } ] }, { "id": "18814", "image": "18814.png", "conversations": [ { "from": "human", "question": "Keith's P.E. class participated in a push-up competition, and Keith wrote down how many push-ups each person could do. How many people did exactly 32 push-ups?\n" }, { "from": "gpt", "solution": "For the number 32, the stem is 3, and the leaf is 2. Find the row where the stem is 3. In that row, count all the leaves equal to 2.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 people did exactly 32 push-ups.", "answer": "2", "table": "**Push-up competition (number of push-ups)**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 9 |\n| 3 | 2, 2, 5, 6, 8 |\n| 4 | 8 |\n| 5 | 2 |\n| 6 | 2, 5 |\n| 7 | 6 |\n| 8 | |\n| 9 | 0 |" } ] }, { "id": "18821", "image": "18821.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Jordan just missed the 12.00 P.M. bus at the train station. How long does he have to wait until the next bus?\n" }, { "from": "gpt", "solution": "Find 12:00 P. M. in the row for the train station.\n\nLook for the next bus in that row.\n\nThe next bus is at 12:15 P. M.\n\nFind the elapsed time. The elapsed time is 15 minutes.", "answer": "15 minutes", "table": "**Hotel shuttle bus schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 | Column 5 | Column 6 |\n| --- | --- | --- | --- | --- | --- |\n| pizza place | 10:00 A.M. | 10:15 A.M. | 10:30 A.M. | 10:45 A.M. | 11:00 A.M. |\n| Main Street | 10:45 A.M. | 11:00 A.M. | 11:15 A.M. | 11:30 A.M. | 11:45 A.M. |\n| train station | 11:45 A.M. | 12:00 P.M. | 12:15 P.M. | 12:30 P.M. | 12:45 P.M. |\n| softball field | 12:30 P.M. | 12:45 P.M. | 1:00 P.M. | 1:15 P.M. | 1:30 P.M. |\n| downtown | 1:15 P.M. | 1:30 P.M. | 1:45 P.M. | 2:00 P.M. | 2:15 P.M. |" } ] }, { "id": "18822", "image": "18822.png", "conversations": [ { "from": "human", "question": "At their family reunion, the Stanley family recorded everyone's age. How many people are exactly 33 years old?\n" }, { "from": "gpt", "solution": "For the number 33, the stem is 3, and the leaf is 3. Find the row where the stem is 3. In that row, count all the leaves equal to 3.\n\nYou counted 1 leaf, which is blue in the stem-and-leaf plot above. 1 person is exactly 33 years old.", "answer": "1", "table": "**Ages**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 3, 4, 4 |\n| 4 | 2, 5 |\n| 5 | |\n| 6 | 4, 4 |\n| 7 | 2 |\n| 8 | 2 |" } ] }, { "id": "18831", "image": "18831.png", "conversations": [ { "from": "human", "question": "Six of the sports teams from Belmont High School decided to raise funds to buy new sports equipment. What fraction of the funds were raised by the basketball team? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how much money was raised by the basketball.\n\n920\n\nFind how much money were raised in total.\n\n760 + 530 + 960 + 970 + 920 + 990 = 5,130\n\nDivide 920 by 5,130.\n\n\\frac{920}{5,130}\n\nReduce the fraction.\n\n\\frac{920}{5,130} → \\frac{92}{513}\n\n\\frac{92}{513} of Find how much money was raised by the basketball.", "answer": "92/513", "table": "**Sports equipment fundraising**\n\n| Team | Funds raised ($) |\n| --- | --- |\n| Baseball | 760 |\n| Water polo | 530 |\n| Tennis | 960 |\n| Track | 970 |\n| Basketball | 920 |\n| Football | 990 |" } ] }, { "id": "18833", "image": "18833.png", "conversations": [ { "from": "human", "question": "How much money does Julie need to buy a cat calendar and a book of piano music?\n" }, { "from": "gpt", "solution": "Add the price of a cat calendar and the price of a book of piano music:\n\n$11.00 + $22.00 = $33.00\n\nJulie needs $33.00.", "answer": "33", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| book of piano music | $22.00 |\n| atlas | $40.00 |\n| cat calendar | $11.00 |\n| cookbook | $11.00 |\n| dog calendar | $15.00 |\n| encyclopedia | $12.00 |" } ] }, { "id": "18838", "image": "18838.png", "conversations": [ { "from": "human", "question": "Chloe baked cookies each day for a bake sale. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n14, 11, 10, 14, 10, 11, 11\n\nFirst, arrange the numbers from least to greatest:\n\n10, 10, 11, 11, 11, 14, 14\n\nNow count how many times each number appears.\n\n10 appears 2 times.\n11 appears 3 times.\n14 appears 2 times.\n\nThe number that appears most often is 11.\n\nThe mode is 11.", "answer": "11", "table": "**Cookies baked**\n\n| Day | Number of cookies |\n| --- | --- |\n| Thursday | 14 |\n| Friday | 11 |\n| Saturday | 10 |\n| Sunday | 14 |\n| Monday | 10 |\n| Tuesday | 11 |\n| Wednesday | 11 |" } ] }, { "id": "18841", "image": "18841.png", "conversations": [ { "from": "human", "question": "How much money does Farid need to buy an orange and a cucumber?\n" }, { "from": "gpt", "solution": "Add the price of an orange and the price of a cucumber:\n\n$0.54 + $0.78 = $1.32\n\nFarid needs $1.32.", "answer": "1.32", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| red pepper | $0.76 |\n| cucumber | $0.78 |\n| yellow pepper | $0.98 |\n| orange | $0.54 |\n| nectarine | $0.47 |\n| peach | $0.93 |" } ] }, { "id": "18845", "image": "18845.png", "conversations": [ { "from": "human", "question": "A school administrator who was concerned about grade inflation looked over the number of straight-A students from year to year. According to the table, what was the rate of change between 2017 and 2018?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{24 students - 24 students}{2018 - 2017}\n = \\frac{24 students - 24 students}{1 year}\n = \\frac{0 students}{1 year}\n = 0 students per year\nThe rate of change between 2017 and 2018 was 0 students per year.", "answer": "0", "table": "**Straight-A students**\n\n| Year | Students |\n| --- | --- |\n| 2014 | 18 |\n| 2015 | 17 |\n| 2016 | 17 |\n| 2017 | 24 |\n| 2018 | 24 |" } ] }, { "id": "18850", "image": "18850.png", "conversations": [ { "from": "human", "question": "Tim has $1.40. How much money will Tim have left if he buys a can of tuna fish and a can of pears?\n" }, { "from": "gpt", "solution": "Find the total cost of a can of tuna fish and a can of pears.\n\n$0.70 + $0.66 = $1.36\n\nNow subtract the total cost from the starting amount.\n\n$1.40 - $1.36 = $0.04\n\nTim will have $0.04 left.", "answer": "0.04", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| can of fruit cocktail | $0.80 |\n| can of pears | $0.66 |\n| can of tuna fish | $0.70 |\n| can of peaches | $0.97 |\n| jar of olives | $0.65 |" } ] }, { "id": "18857", "image": "18857.png", "conversations": [ { "from": "human", "question": "The school district compared how many math teachers each high school has. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 10, 4, 2, 6, 4, 8, 5\n\nFirst, count how many numbers are in the group.\n\nThere are 8 numbers.\n\nNow add all the numbers together:\n\n9 + 10 + 4 + 2 + 6 + 4 + 8 + 5 = 48\n\nNow divide the sum by the number of numbers:\n\n48 ÷ 8 = 6\n\nThe mean is 6.", "answer": "6", "table": "**Math teachers**\n\n| High school | Number of math teachers |\n| --- | --- |\n| Central High | 9 |\n| Hillview High | 10 |\n| Westside High | 4 |\n| Moore High | 2 |\n| River High | 6 |\n| Northside High | 4 |\n| Lincoln High | 8 |\n| Thompson High | 5 |" } ] }, { "id": "18859", "image": "18859.png", "conversations": [ { "from": "human", "question": "Jonathan's P.E. class participated in a push-up competition, and Jonathan wrote down how many push-ups each person could do. How many people did exactly 76 push-ups?\n" }, { "from": "gpt", "solution": "For the number 76, the stem is 7, and the leaf is 6. Find the row where the stem is 7. In that row, count all the leaves equal to 6.\n\nYou counted 1 leaf, which is blue in the stem-and-leaf plot above. 1 person did exactly 76 push-ups.", "answer": "1", "table": "**Push-up competition (number of push-ups)**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 6 |\n| 5 | |\n| 6 | 5, 9 |\n| 7 | 4, 6 |\n| 8 | 1, 2, 5 |" } ] }, { "id": "18875", "image": "18875.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. How long does it take to get from the pizza place to the train station?\n" }, { "from": "gpt", "solution": "Read the times in the first column for the pizza place and the train station.\n\nFind the elapsed time between 11:15 A. M. and 1:30 P. M. The elapsed time is 2 hours and 15 minutes.\n\nNo matter which column of times you look at, the elapsed time is always 2 hours and 15 minutes.", "answer": "2 hours and 15 minutes", "table": "**Hotel shuttle bus schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 | Column 5 | Column 6 |\n| --- | --- | --- | --- | --- | --- |\n| airport | 9:45 A.M. | 10:00 A.M. | 10:30 A.M. | 10:45 A.M. | 11:00 A.M. |\n| boat docks | 10:30 A.M. | 10:45 A.M. | 11:15 A.M. | 11:30 A.M. | 11:45 A.M. |\n| pizza place | 11:15 A.M. | 11:30 A.M. | 12:00 P.M. | 12:15 P.M. | 12:30 P.M. |\n| amusement park | 12:00 P.M. | 12:15 P.M. | 12:45 P.M. | 1:00 P.M. | 1:15 P.M. |\n| college campus | 12:15 P.M. | 12:30 P.M. | 1:00 P.M. | 1:15 P.M. | 1:30 P.M. |\n| football stadium | 12:30 P.M. | 12:45 P.M. | 1:15 P.M. | 1:30 P.M. | 1:45 P.M. |\n| softball field | 1:00 P.M. | 1:15 P.M. | 1:45 P.M. | 2:00 P.M. | 2:15 P.M. |\n| train station | 1:30 P.M. | 1:45 P.M. | 2:15 P.M. | 2:30 P.M. | 2:45 P.M. |\n| bus station | 2:30 P.M. | 2:45 P.M. | 3:15 P.M. | 3:30 P.M. | 3:45 P.M. |" } ] }, { "id": "18877", "image": "18877.png", "conversations": [ { "from": "human", "question": "Jaylen counted the number of pairs of shoes for sale at each of the shoe stores in the mall. What is the smallest number of pairs of shoes?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 3.\n\nNow find the lowest leaf in the first row. The lowest leaf is 4.\n\nThe smallest number of pairs of shoes has a stem of 3 and a leaf of 4. Write the stem first, then the leaf: 34.\n\nThe smallest number of pairs of shoes is 34 pairs of shoes.", "answer": "34", "table": "**Pairs of shoes per store**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 4, 6, 8 |\n| 4 | 0, 7, 8 |\n| 5 | 1, 5, 9 |\n| 6 | 6, 6 |\n| 7 | 1, 1, 5, 9 |\n| 8 | 0, 6, 7, 7 |\n| 9 | 0, 0 |" } ] }, { "id": "18879", "image": "18879.png", "conversations": [ { "from": "human", "question": "A pumpkin patch monitored the number of pumpkins sold each day. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n72, 66, 71, 56, 60\n\nFirst, arrange the numbers from least to greatest:\n\n56, 60, 66, 71, 72\n\nNow find the number in the middle.\n\n56, 60, 66, 71, 72\n\nThe number in the middle is 66.\n\nThe median is 66.", "answer": "66", "table": "**Pumpkins sold**\n\n| Day | Number of pumpkins |\n| --- | --- |\n| Tuesday | 72 |\n| Wednesday | 66 |\n| Thursday | 71 |\n| Friday | 56 |\n| Saturday | 60 |" } ] }, { "id": "18883", "image": "18883.png", "conversations": [ { "from": "human", "question": "Compare pattern A to pattern B. Which statement is true? \n" }, { "from": "gpt", "solution": "Look at the corresponding terms in the table. For example, the first pair of corresponding terms is 3 and 30.\nRead the first statement.\nEach term in pattern B is 27 more than the corresponding term in pattern A.\nThis statement is not true for all of the corresponding terms. For example, 60 is not 27 more than 6.\nRead the second statement.\nEach term in pattern B is 10 times the corresponding term in pattern A.\nThis statement is true for all of the corresponding terms.\n3 × 10 = 30\n6 × 10 = 60\n9 × 10 = 90\n12 × 10 = 120", "answer": "Each term in pattern B is 10 times the corresponding term in pattern A.", "table": "| Column 1 | Column 2 | Column 3 | Column 4 | Column 5 | Column 6 |\n| --- | --- | --- | --- | --- | --- |\n| Pattern A | add | 3 3 | 6 | 9 | 12 |\n| Pattern B | add | 30 30 | 60 | 90 | 120 |" } ] }, { "id": "18890", "image": "18890.png", "conversations": [ { "from": "human", "question": "How much money does Amanda need to buy 9 orchestra tickets and a hockey ticket?\n" }, { "from": "gpt", "solution": "Find the cost of 9 orchestra tickets.\n\n$18.91 × 9 = $170.19\n\nNow find the total cost.\n\n$170.19 + $37.45 = $207.64\n\nAmanda needs $207.64.", "answer": "207.64", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| hockey ticket | $37.45 |\n| orchestra ticket | $18.91 |\n| football ticket | $76.45 |\n| figure skating ticket | $57.03 |\n| baseball ticket | $38.74 |" } ] }, { "id": "18896", "image": "18896.png", "conversations": [ { "from": "human", "question": "Zoe wants to buy 2 kilograms of tomato sauce. How much will she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the tomato sauce. Multiply the price per kilogram by the number of kilograms.\n\n$3 × 2 = $6\n\nShe will spend $6.", "answer": "6", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pesto sauce | $2/kg |\n| tomato sauce | $3/kg |\n| marinara sauce | $3/kg |\n| alfredo sauce | $3/kg |\n| chicken sauce | $2/kg |\n| beef sauce | $3/kg |" } ] }, { "id": "18902", "image": "18902.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does the train depart from Bloomington?\n" }, { "from": "gpt", "solution": "Find Bloomington on the schedule. Find the departure time for Bloomington.\n\nBloomington: 8:45 P. M.", "answer": "8:45 P.M.", "table": "**Train schedule**\n\n| Location | Arrive | Depart |\n| --- | --- | --- |\n| Bloomington | 8:20 P.M. | 8:45 P.M. |\n| Sparrowtown | 9:45 P.M. | 10:10 P.M. |\n| Clarksville | 11:15 P.M. | 11:25 P.M. |\n| Danville | 12:20 A.M. | 12:35 A.M. |\n| Livingston | 2:00 A.M. | 2:15 A.M. |\n| Lakeside | 3:10 A.M. | 3:20 A.M. |\n| Lakewood | 4:20 A.M. | 4:45 A.M. |" } ] }, { "id": "18912", "image": "18912.png", "conversations": [ { "from": "human", "question": "Steve went to the store. He bought 3 pounds of milk chocolate and 1 pound of bittersweet chocolate. How much did he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the milk chocolate. Multiply:\n\n$5.15 × 3 = $15.45\n\nFind the cost of the bittersweet chocolate. Multiply:\n\n$2.02 × 1 = $2.02\n\nNow find the total cost by adding:\n\n$15.45 + $2.02 = $17.47\n\nHe spent $17.47.", "answer": "17.47", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| milk chocolate | $5.15 per lb |\n| semisweet chocolate | $5.97 per lb |\n| orange chocolate | $5.92 per lb |\n| white chocolate | $5.12 per lb |\n| bittersweet chocolate | $2.02 per lb |" } ] }, { "id": "18914", "image": "18914.png", "conversations": [ { "from": "human", "question": "For a math assignment, Alvin researched the scores of the people competing on his favorite quiz show. How many people scored at least 30 points?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 3, 4, 5, 6, 7, 8, and 9.\n\nYou counted 14 leaves, which are blue in the stem-and-leaf plot above. 14 people scored at least 30 points.", "answer": "14", "table": "**Quiz show scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 3, 9 |\n| 2 | 8, 9 |\n| 3 | 4 |\n| 4 | 0, 1, 3, 7, 7, 8, 9 |\n| 5 | 0, 0 |\n| 6 | 7 |\n| 7 | 9 |\n| 8 | 8 |\n| 9 | 0 |" } ] }, { "id": "18920", "image": "18920.png", "conversations": [ { "from": "human", "question": "How much money does Mona need to buy a robot stamp and 4 flag stamps?\n" }, { "from": "gpt", "solution": "Find the cost of 4 flag stamps.\n\n$0.16 × 4 = $0.64\n\nNow find the total cost.\n\n$0.42 + $0.64 = $1.06\n\nMona needs $1.06.", "answer": "1.06", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| tulip stamp | $0.36 |\n| flag stamp | $0.16 |\n| sheet of animal stamps | $0.17 |\n| bird postcard | $0.30 |\n| robot stamp | $0.42 |\n| lighthouse postcard | $0.22 |" } ] }, { "id": "18932", "image": "18932.png", "conversations": [ { "from": "human", "question": "An Idaho farmer has been monitoring crop prices over time. In 2005, which crop cost the most per cwt?\n" }, { "from": "gpt", "solution": "Look at the numbers in the 2005 column. Find the greatest number in this column.\n\nThe greatest number is $18.00, which is in the Apples row. In 2005, apples cost the most per cwt.", "answer": "apples", "table": "**Idaho crop prices per cwt**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Crop | 2005 | 2006 |\n| Lentils | $12 | $16 |\n| Canola | $10 | $12 |\n| Apples | $18 | $19 |" } ] }, { "id": "18935", "image": "18935.png", "conversations": [ { "from": "human", "question": "A technical support line tracked how many calls it received each day. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n95, 87, 92, 76, 62, 85, 86\n\nFirst, find the greatest number. The greatest number is 95.\n\nNext, find the least number. The least number is 62.\n\nSubtract the least number from the greatest number:\n\n95 − 62 = 33\n\nThe range is 33.", "answer": "33", "table": "**Phone calls received**\n\n| Day | Number of calls |\n| --- | --- |\n| Thursday | 95 |\n| Friday | 87 |\n| Saturday | 92 |\n| Sunday | 76 |\n| Monday | 62 |\n| Tuesday | 85 |\n| Wednesday | 86 |" } ] }, { "id": "18941", "image": "18941.png", "conversations": [ { "from": "human", "question": "The receptionist at a doctor's office kept track of each patient's wait time. How many people waited for at least 21 minutes?\n" }, { "from": "gpt", "solution": "Find the row with stem 2. Count all the leaves greater than or equal to 1.\n\nCount all the leaves in the rows with stems 3, 4, 5, 6, 7, and 8.\n\nYou counted 17 leaves, which are blue in the stem-and-leaf plots above. 17 people waited for at least 21 minutes.", "answer": "17", "table": "**Doctor's office wait times (minutes)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 3, 3, 4, 5, 5 |\n| 2 | 4, 8 |\n| 3 | 8 |\n| 4 | 0, 1, 4, 7 |\n| 5 | 5, 9 |\n| 6 | 2, 7 |\n| 7 | 2, 6 |\n| 8 | 0, 0, 4, 7 |" } ] }, { "id": "18947", "image": "18947.png", "conversations": [ { "from": "human", "question": "How much more does a Hawaiian vacation package cost than an Australian vacation package?\n" }, { "from": "gpt", "solution": "Subtract the price of an Australian vacation package from the price of a Hawaiian vacation package.\n\n$741.00 - $531.00 = $210.00\n\nA Hawaiian vacation package costs $210.00 more than an Australian vacation package.", "answer": "210", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| European vacation package | $959.00 |\n| Australian vacation package | $531.00 |\n| Hawaiian vacation package | $741.00 |\n| Jamaican vacation package | $637.00 |\n| Caribbean vacation package | $897.00 |\n| African safari vacation package | $538.00 |" } ] }, { "id": "18951", "image": "18951.png", "conversations": [ { "from": "human", "question": "Are there fewer students in Mrs. White's class or in Mr. Green's class?\n" }, { "from": "gpt", "solution": "Add the numbers in the Mrs. White row. Then, add the numbers in the Mr. Green row.\n\nMrs. White: 17 + 20 = 37\nMr. Green: 19 + 14 = 33\n\n33 is less than 37. Fewer students are in Mr. Green's class.", "answer": "Mr. Green", "table": "**Fifth grade classes**\n\n| Teacher | Girls | Boys |\n| --- | --- | --- |\n| Mr. Burgundy | 6 | 16 |\n| Mr. Orange | 19 | 17 |\n| Mr. Green | 19 | 14 |\n| Mrs. White | 17 | 20 |" } ] }, { "id": "18955", "image": "18955.png", "conversations": [ { "from": "human", "question": "An ice cream shop kept track of how many ice cream cones it sold in the past 7 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n69, 54, 72, 68, 83, 74, 59\n\nFirst, arrange the numbers from least to greatest:\n\n54, 59, 68, 69, 72, 74, 83\n\nNow find the number in the middle.\n\n54, 59, 68, 69, 72, 74, 83\n\nThe number in the middle is 69.\n\nThe median is 69.", "answer": "69", "table": "**Ice cream cones sold**\n\n| Day | Number of ice cream cones |\n| --- | --- |\n| Thursday | 69 |\n| Friday | 54 |\n| Saturday | 72 |\n| Sunday | 68 |\n| Monday | 83 |\n| Tuesday | 74 |\n| Wednesday | 59 |" } ] }, { "id": "18958", "image": "18958.png", "conversations": [ { "from": "human", "question": "Jayla graphed the daily low temperature for 7 days. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n4, 6, 6, 9, 4, 4, 9\n\nFirst, arrange the numbers from least to greatest:\n\n4, 4, 4, 6, 6, 9, 9\n\nNow count how many times each number appears.\n\n4 appears 3 times.\n6 appears 2 times.\n9 appears 2 times.\n\nThe number that appears most often is 4.\n\nThe mode is 4.", "answer": "4", "table": "**Daily low temperature**\n\n| Day | Temperature (°C) |\n| --- | --- |\n| Sunday | 4 |\n| Monday | 6 |\n| Tuesday | 6 |\n| Wednesday | 9 |\n| Thursday | 4 |\n| Friday | 4 |\n| Saturday | 9 |" } ] }, { "id": "18960", "image": "18960.png", "conversations": [ { "from": "human", "question": "Each box has 2 chocolates. How many chocolates are in 5 boxes?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 10 chocolates in 5 boxes.", "answer": "10", "table": "| Number of boxes | Number of chocolates |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | 6 |\n| 4 | 8 |\n| 5 | ? |" } ] }, { "id": "18961", "image": "18961.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $295, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $295, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $255 | 17,400 | 7,600 |\n| $265 | 17,000 | 9,200 |\n| $275 | 16,600 | 10,800 |\n| $285 | 16,200 | 12,400 |\n| $295 | 15,800 | 14,000 |" } ] }, { "id": "18963", "image": "18963.png", "conversations": [ { "from": "human", "question": "Look at this table. Is this relation a function?\n" }, { "from": "gpt", "solution": "Look at the x-values in the table.\n\nEach of the x-values is paired with only one y-value, so the relation is a function.", "answer": "yes", "table": "| x | y |\n| --- | --- |\n| 3 | 16 |\n| 12 | 11 |\n| 19 | 20 |\n| 6 | 7 |" } ] }, { "id": "18970", "image": "18970.png", "conversations": [ { "from": "human", "question": "A game show program recorded the scores of its contestants. How many contestants scored more than 9?\n" }, { "from": "gpt", "solution": "Find the row for 10 and read the frequency. The frequency is 16.\n\n16 contestants scored more than 9.", "answer": "16", "table": "**Scores on a quiz show**\n\n| Score | Frequency |\n| --- | --- |\n| 5 | 18 |\n| 6 | 6 |\n| 7 | 15 |\n| 8 | 13 |\n| 9 | 5 |\n| 10 | 16 |" } ] }, { "id": "18972", "image": "18972.png", "conversations": [ { "from": "human", "question": "At a school carnival, a curious student volunteer counted the number of times visitors to her booth spun the numbers 1 through 6. How many people spun a number less than 2?\n" }, { "from": "gpt", "solution": "Find the row for 1 and read the frequency. The frequency is 16.\n\n16 people spun a number less than 2.", "answer": "16", "table": "**Spinning a wheel numbered 1 through 6**\n\n| Number spun | Frequency |\n| --- | --- |\n| 1 | 16 |\n| 2 | 3 |\n| 3 | 12 |\n| 4 | 14 |\n| 5 | 11 |\n| 6 | 2 |" } ] }, { "id": "18974", "image": "18974.png", "conversations": [ { "from": "human", "question": "How much money does Stefan need to buy 2 slices of chocolate cake and 5 brownies?\n" }, { "from": "gpt", "solution": "Find the cost of 2 slices of chocolate cake.\n\n$3.97 × 2 = $7.94\n\nFind the cost of 5 brownies.\n\n$1.33 × 5 = $6.65\n\nNow find the total cost.\n\n$7.94 + $6.65 = $14.59\n\nStefan needs $14.59.", "answer": "14.59", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| bagel | $1.59 |\n| brownie | $1.33 |\n| chocolate milkshake | $3.41 |\n| slice of chocolate cake | $3.97 |\n| cup of orange juice | $1.33 |\n| cheeseburger | $1.55 |" } ] }, { "id": "18986", "image": "18986.png", "conversations": [ { "from": "human", "question": "An Idaho farmer has been monitoring crop prices over time. Per cwt, how much did Timothy seed cost in 2004?\n" }, { "from": "gpt", "solution": "First, find the row for Timothy seed. Then find the number in the 2004 column.\n\nThis number is $7.00. In 2004, Timothy seed cost $7 per cwt.", "answer": "7", "table": "**Idaho crop prices per cwt**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Crop | 2003 | 2004 |\n| Timothy seed | $9 | $7 |\n| Peas | $9 | $7 |\n| Lentils | $18 | $14 |" } ] }, { "id": "18987", "image": "18987.png", "conversations": [ { "from": "human", "question": "Look at this table. Is this relation a function?\n" }, { "from": "gpt", "solution": "Look at the x-values in the table.\n\nThe x-value 5 is paired with multiple y-values, so the relation is not a function.", "answer": "no", "table": "| x | y |\n| --- | --- |\n| 5 | 13 |\n| 5 | 15 |\n| 5 | 17 |\n| 19 | 9 |" } ] }, { "id": "18991", "image": "18991.png", "conversations": [ { "from": "human", "question": "A pair of Lincoln High School hockey fans counted the number of games won by the school each year. According to the table, what was the rate of change between 2017 and 2018?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{3 games - 3 games}{2018 - 2017}\n = \\frac{3 games - 3 games}{1 year}\n = \\frac{0 games}{1 year}\n = 0 games per year\nThe rate of change between 2017 and 2018 was 0 games per year.", "answer": "0", "table": "**Hockey games won by Lincoln High**\n\n| Year | Games won |\n| --- | --- |\n| 2017 | 3 |\n| 2018 | 3 |\n| 2019 | 10 |\n| 2020 | 5 |\n| 2021 | 7 |" } ] }, { "id": "18994", "image": "18994.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which class begins at 4.05 P.M.?\n" }, { "from": "gpt", "solution": "Find 4:05 P. M. on the schedule. Basketball class begins at 4:05 P. M.", "answer": "Basketball class", "table": "**Class schedule**\n\n| Subject | Begin | End |\n| --- | --- | --- |\n| Chinese | 9:35 A.M. | 10:50 A.M. |\n| Geometry | 11:15 A.M. | 12:35 P.M. |\n| Spanish Literature | 12:55 P.M. | 2:10 P.M. |\n| Chemistry | 2:30 P.M. | 3:00 P.M. |\n| Ancient Greek | 3:15 P.M. | 3:55 P.M. |\n| Basketball | 4:05 P.M. | 5:10 P.M. |\n| Architecture | 5:45 P.M. | 6:45 P.M. |" } ] }, { "id": "18995", "image": "18995.png", "conversations": [ { "from": "human", "question": "How much money does Henry need to buy 2 measuring tapes and a rake?\n" }, { "from": "gpt", "solution": "Find the cost of 2 measuring tapes.\n\n$4.87 × 2 = $9.74\n\nNow find the total cost.\n\n$9.74 + $7.24 = $16.98\n\nHenry needs $16.98.", "answer": "16.98", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| measuring tape | $4.87 |\n| padlock | $5.07 |\n| hammer | $9.51 |\n| rake | $7.24 |\n| broom | $4.58 |\n| mop | $8.37 |" } ] }, { "id": "18998", "image": "18998.png", "conversations": [ { "from": "human", "question": "How much money does Trent need to buy a motorcycle and a kayak?\n" }, { "from": "gpt", "solution": "Add the price of a motorcycle and the price of a kayak:\n\n$599.00 + $270.00 = $869.00\n\nTrent needs $869.00.", "answer": "869", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| kayak | $270.00 |\n| motorcycle | $599.00 |\n| snowmobile | $726.00 |\n| canoe | $684.00 |" } ] }, { "id": "19002", "image": "19002.png", "conversations": [ { "from": "human", "question": "Some friends discussed the sizes of their coin collections. If you combine their collections, how many coins do Marie and Dylan have?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nMarie: 323\nDylan: 221\n\nNow add: 323 + 221 = 544.\n\nMarie and Dylan have 544 coins.", "answer": "544", "table": "**Coin collections**\n\n| Name | Number of coins |\n| --- | --- |\n| Omar | 285 |\n| Marie | 323 |\n| Dylan | 221 |\n| Simon | 470 |" } ] }, { "id": "19014", "image": "19014.png", "conversations": [ { "from": "human", "question": "After a trip to the zoo, the students in Ms. Kelly's science class voted for their favorite animals. How many boys voted for penguins?\n" }, { "from": "gpt", "solution": "First, find the row for penguins. Then find the number in the Boys column.\n\nThis number is 9. 9 boys voted for penguins.", "answer": "9", "table": "**Favorite zoo animal**\n\n| Animal | Boys | Girls |\n| --- | --- | --- |\n| Lions | 2 | 15 |\n| Penguins | 9 | 2 |\n| Polar bears | 13 | 17 |" } ] }, { "id": "19015", "image": "19015.png", "conversations": [ { "from": "human", "question": "Tara looked over her calendar to see how many times she had soccer practice each month. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 10, 7, 7, 4, 7\n\nFirst, count how many numbers are in the group.\n\nThere are 6 numbers.\n\nNow add all the numbers together:\n\n7 + 10 + 7 + 7 + 4 + 7 = 42\n\nNow divide the sum by the number of numbers:\n\n42 ÷ 6 = 7\n\nThe mean is 7.", "answer": "7", "table": "**Soccer practice**\n\n| Month | Number of practices |\n| --- | --- |\n| November | 7 |\n| March | 10 |\n| April | 7 |\n| May | 7 |\n| June | 4 |\n| July | 7 |" } ] }, { "id": "19017", "image": "19017.png", "conversations": [ { "from": "human", "question": "Some farmers compared how many tractors they own. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 8, 7, 6, 3, 7, 6\n\nFirst, arrange the numbers from least to greatest:\n\n3, 6, 6, 6, 7, 7, 8\n\nNow find the number in the middle.\n\n3, 6, 6, 6, 7, 7, 8\n\nThe number in the middle is 6.\n\nThe median is 6.", "answer": "6", "table": "**Tractors**\n\n| Farmer | Number of tractors |\n| --- | --- |\n| Farmer Jane | 6 |\n| Farmer Rick | 8 |\n| Farmer Megan | 7 |\n| Farmer Susie | 6 |\n| Farmer Walt | 3 |\n| Farmer Andy | 7 |\n| Farmer Judy | 6 |" } ] }, { "id": "19018", "image": "19018.png", "conversations": [ { "from": "human", "question": "An economist tracked the amount of per-capita aid sent from the U.S. to various countries during the 1900s. Per capita, how much more aid did Libya receive in 1965 than in 1975?\n" }, { "from": "gpt", "solution": "Find the Libya row. Find the numbers in this row for 1965 and 1975.\n\n1965: $4.00\n1975: $2.00\n\nNow subtract:\n\n$4.00 − $2.00 = $2.00\n\nPer capita, Libya received $2 more in aid in 1965 than in 1975.", "answer": "2", "table": "**Aid received per capita from the U.S.**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 1965 | 1975 |\n| Nepal | $2 | $3 |\n| Libya | $4 | $2 |\n| Sri Lanka | $1 | $11 |\n| Afghanistan | $5 | $5 |" } ] }, { "id": "19023", "image": "19023.png", "conversations": [ { "from": "human", "question": "Several people compared how many Web pages they had visited. Who visited the most Web pages?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 174.\n\nNow find the corresponding person. Sofia corresponds to 174.", "answer": "Sofia", "table": "**Web pages visited**\n\n| Person | Number of Web pages |\n| --- | --- |\n| Kenji | 141 |\n| Alexis | 119 |\n| Josh | 147 |\n| Sofia | 174 |" } ] }, { "id": "19040", "image": "19040.png", "conversations": [ { "from": "human", "question": "Louis's class paid attention to how many bottles each student collected for their recycling project. Who collected the fewest bottles?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 724.\n\nNow find the corresponding name. Trent corresponds to 724.", "answer": "Trent", "table": "**Bottles collected**\n\n| Name | Number of bottles |\n| --- | --- |\n| Louis | 727 |\n| Ashley | 774 |\n| Trent | 724 |\n| Patty | 742 |" } ] }, { "id": "19042", "image": "19042.png", "conversations": [ { "from": "human", "question": "How much more does a denim skirt cost than a purple T-shirt?\n" }, { "from": "gpt", "solution": "Subtract the price of a purple T-shirt from the price of a denim skirt.\n\n$9.00 - $3.00 = $6.00\n\nA denim skirt costs $6.00 more than a purple T-shirt.", "answer": "6", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| long-sleeved shirt | $4.00 |\n| denim skirt | $9.00 |\n| pink sweater | $5.00 |\n| plaid scarf | $3.00 |\n| purple T-shirt | $3.00 |" } ] }, { "id": "19047", "image": "19047.png", "conversations": [ { "from": "human", "question": "How much money does Xavier need to buy a navy blue bath mat and 8 flannel sheets?\n" }, { "from": "gpt", "solution": "Find the cost of 8 flannel sheets.\n\n$15.00 × 8 = $120.00\n\nNow find the total cost.\n\n$19.00 + $120.00 = $139.00\n\nXavier needs $139.00.", "answer": "139", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pillow | $14.00 |\n| fleece blanket | $19.00 |\n| quilt | $33.00 |\n| flannel sheet | $15.00 |\n| navy blue bath mat | $19.00 |" } ] }, { "id": "19060", "image": "19060.png", "conversations": [ { "from": "human", "question": "Mrs. Horton kept track of her students' scores on last year's final exam. How many students scored exactly 50 points?\n" }, { "from": "gpt", "solution": "For the number 50, the stem is 5, and the leaf is 0. Find the row where the stem is 5. In that row, count all the leaves equal to 0.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 students scored exactly 50 points.", "answer": "4", "table": "**Final exam scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 1, 4, 5, 7, 9 |\n| 4 | |\n| 5 | 0, 0, 0, 0, 2, 3, 6, 6, 8, 8 |\n| 6 | 0, 7 |\n| 7 | 6, 7, 7 |\n| 8 | 7, 8, 9 |\n| 9 | 0 |" } ] }, { "id": "19064", "image": "19064.png", "conversations": [ { "from": "human", "question": "The students in Mr. Hogan's class recorded the number of siblings that each has. How many students have at least 1 sibling?\n" }, { "from": "gpt", "solution": "Find the rows for 1, 2, and 3 siblings. Add the frequencies for these rows.\n\nAdd:\n\n7 + 16 + 18 = 41\n\n41 students have at least 1 sibling.", "answer": "41", "table": "**Siblings**\n\n| Number of siblings | Frequency |\n| --- | --- |\n| 0 | 17 |\n| 1 | 7 |\n| 2 | 16 |\n| 3 | 18 |" } ] }, { "id": "19068", "image": "19068.png", "conversations": [ { "from": "human", "question": "Worried about going over his storage limit, Dylan monitored the number of undeleted voicemail messages stored on his phone each day. According to the table, what was the rate of change between Monday and Tuesday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{10 voicemail messages - 9 voicemail messages}{1 day}\n = \\frac{1 voicemail message}{1 day}\n = 1 voicemail message per day\nThe rate of change between Monday and Tuesday was 1 voicemail message per day.", "answer": "1", "table": "**Voicemail messages on Dylan's phone**\n\n| Day | Voicemail messages |\n| --- | --- |\n| Monday | 9 |\n| Tuesday | 10 |\n| Wednesday | 9 |\n| Thursday | 7 |\n| Friday | 15 |" } ] }, { "id": "19073", "image": "19073.png", "conversations": [ { "from": "human", "question": "Josie, an employee at Morgan's Convenience Store, looked at the sales of each of its soda products. On Friday, how much more did the convenience store make from Nature's Nectar sales than from Sweet Sips sales?\n" }, { "from": "gpt", "solution": "Find the Friday column. Find the numbers in this column for Nature's Nectar and Sweet Sips.\n\nNature's Nectar: $19.00\nSweet Sips: $7.00\n\nNow subtract:\n\n$19.00 − $7.00 = $12.00\n\nOn Friday, the convenience store made $12 more from Nature's Nectar sales than from Sweet Sips sales.", "answer": "12", "table": "**Convenience store beverage sales**\n\n| Beverage | Thursday | Friday |\n| --- | --- | --- |\n| Krazy Kola | $7 | $5 |\n| Sweet Sips | $17 | $7 |\n| Pearl's Soda | $2 | $12 |\n| Nature's Nectar | $1 | $19 |\n| Fizzy Fun | $14 | $15 |" } ] }, { "id": "19076", "image": "19076.png", "conversations": [ { "from": "human", "question": "Miss Wells ran a sit-up competition among her P.E. students and monitored how many sit-ups each students could do. What is the largest number of sit-ups done?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 9.\n\nNow find the highest leaf in the last row. The highest leaf is 0.\n\nThe largest number of sit-ups done has a stem of 9 and a leaf of 0. Write the stem first, then the leaf: 90.\n\nThe largest number of sit-ups done is 90 sit-ups.", "answer": "90", "table": "**Sit-up competition (number of sit-ups)**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 0, 1, 1, 8, 8 |\n| 5 | 0, 2, 3, 5, 5, 5, 7 |\n| 6 | 0, 0, 2 |\n| 7 | 1, 2, 3, 6, 8, 9 |\n| 8 | 1, 3, 5 |\n| 9 | 0 |" } ] }, { "id": "19079", "image": "19079.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which event ends at 3.15 P.M.?\n" }, { "from": "gpt", "solution": "Find 3:15 P. M. on the schedule. The relay race ends at 3:15 P. M.", "answer": "relay race", "table": "**Field day schedule**\n\n| Event | Begin | End |\n| --- | --- | --- |\n| scooter race | 9:25 A.M. | 10:10 A.M. |\n| obstacle course | 10:25 A.M. | 10:45 A.M. |\n| parachute ball toss | 10:55 A.M. | 11:45 A.M. |\n| three-legged race | 11:50 A.M. | 12:25 P.M. |\n| jump rope race | 12:40 P.M. | 1:15 P.M. |\n| water balloon toss | 1:25 P.M. | 2:10 P.M. |\n| relay race | 2:20 P.M. | 3:15 P.M. |" } ] }, { "id": "19080", "image": "19080.png", "conversations": [ { "from": "human", "question": "How much money does Lara need to buy 9 boomerangs and 9 stuffed animals?\n" }, { "from": "gpt", "solution": "Find the cost of 9 boomerangs.\n\n$17 × 9 = $153\n\nFind the cost of 9 stuffed animals.\n\n$13 × 9 = $117\n\nNow find the total cost.\n\n$153 + $117 = $270\n\nLara needs $270.", "answer": "270", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| red wagon | $32 |\n| stuffed animal | $13 |\n| toy rocket | $14 |\n| boomerang | $17 |\n| toy guitar | $35 |" } ] }, { "id": "19088", "image": "19088.png", "conversations": [ { "from": "human", "question": "While compiling photos for an album, Sam noted the number of photographs taken by each of his friends and family. How many people took exactly 2 photographs?\n" }, { "from": "gpt", "solution": "Find the row for 2 photographs and read the frequency. The frequency is 4.\n\n4 people took exactly2 photographs.", "answer": "4", "table": "**Taking photographs**\n\n| Photographs taken | Frequency |\n| --- | --- |\n| 0 | 20 |\n| 1 | 6 |\n| 2 | 4 |\n| 3 | 3 |" } ] }, { "id": "19089", "image": "19089.png", "conversations": [ { "from": "human", "question": "A toy store employee counted the number of toys in each bin in the sale section. What is the smallest number of toys?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 3.\n\nNow find the lowest leaf in the first row. The lowest leaf is 5.\n\nThe smallest number of toys has a stem of 3 and a leaf of 5. Write the stem first, then the leaf: 35.\n\nThe smallest number of toys is 35 toys.", "answer": "35", "table": "**Toys per bin**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 5 |\n| 4 | 3, 6, 9, 9 |\n| 5 | 2 |\n| 6 | 0, 5 |\n| 7 | 5 |" } ] }, { "id": "19091", "image": "19091.png", "conversations": [ { "from": "human", "question": "Britney has $209.00. How much money will Britney have left if she buys a nightstand and a set of bunk beds?\n" }, { "from": "gpt", "solution": "Find the total cost of a nightstand and a set of bunk beds.\n\n$81.00 + $76.00 = $157.00\n\nNow subtract the total cost from the starting amount.\n\n$209.00 - $157.00 = $52.00\n\nBritney will have $52.00 left.", "answer": "52", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| desk | $94.00 |\n| set of bunk beds | $76.00 |\n| kitchen table | $84.00 |\n| nightstand | $81.00 |\n| wooden stool | $35.00 |" } ] }, { "id": "19094", "image": "19094.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{7 - 13}{6 - 5}\n = \\frac{-6}{1}\n = -6\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{1 - 13}{7 - 5}\n = \\frac{-12}{2}\n = -6\nThe two rates of change are the same.\n6.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 5 | 13 |\n| 6 | 7 |\n| 7 | 1 |" } ] }, { "id": "19105", "image": "19105.png", "conversations": [ { "from": "human", "question": "Some students compared how many clubs they belong to. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n8, 9, 8, 9, 10, 10, 10\n\nFirst, arrange the numbers from least to greatest:\n\n8, 8, 9, 9, 10, 10, 10\n\nNow count how many times each number appears.\n\n8 appears 2 times.\n9 appears 2 times.\n10 appears 3 times.\n\nThe number that appears most often is 10.\n\nThe mode is 10.", "answer": "10", "table": "**Clubs**\n\n| Name | Number of clubs |\n| --- | --- |\n| Camilla | 8 |\n| Gabe | 9 |\n| Alvin | 8 |\n| Emmet | 9 |\n| Dana | 10 |\n| Hunter | 10 |\n| Tucker | 10 |" } ] }, { "id": "19106", "image": "19106.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $405, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $405, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $225 | 21,300 | 20,100 |\n| $315 | 20,200 | 20,900 |\n| $405 | 19,100 | 21,700 |\n| $495 | 18,000 | 22,500 |\n| $585 | 16,900 | 23,300 |" } ] }, { "id": "19108", "image": "19108.png", "conversations": [ { "from": "human", "question": "The town council reported on how many stop signs there are on each street. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n4, 6, 7, 4, 2, 5, 2, 10\n\nFirst, count how many numbers are in the group.\n\nThere are 8 numbers.\n\nNow add all the numbers together:\n\n4 + 6 + 7 + 4 + 2 + 5 + 2 + 10 = 40\n\nNow divide the sum by the number of numbers:\n\n40 ÷ 8 = 5\n\nThe mean is 5.", "answer": "5", "table": "**Stop signs**\n\n| Street | Number of stop signs |\n| --- | --- |\n| Spring Street | 4 |\n| Irving Street | 6 |\n| Mason Street | 7 |\n| Smith Street | 4 |\n| Marshall Street | 2 |\n| Walker Street | 5 |\n| Peabody Street | 2 |\n| Jackson Street | 10 |" } ] }, { "id": "19115", "image": "19115.png", "conversations": [ { "from": "human", "question": "How much money does Walter need to buy a football helmet key chain and a puppy key chain?\n" }, { "from": "gpt", "solution": "Add the price of a football helmet key chain and the price of a puppy key chain:\n\n$1.90 + $2.69 = $4.59\n\nWalter needs $4.59.", "answer": "4.59", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| football helmet key chain | $1.90 |\n| piano key chain | $2.19 |\n| rainbow key chain | $2.25 |\n| globe key chain | $1.70 |\n| puppy key chain | $2.69 |\n| soccer ball key chain | $1.96 |" } ] }, { "id": "19119", "image": "19119.png", "conversations": [ { "from": "human", "question": "Mrs. Sawyer, the science teacher, informed her students of their scores on Monday's test. How many students scored exactly 59 points?\n" }, { "from": "gpt", "solution": "For the number 59, the stem is 5, and the leaf is 9. Find the row where the stem is 5. In that row, count all the leaves equal to 9.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 students scored exactly 59 points.", "answer": "4", "table": "**Science test scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 6, 7, 7 |\n| 2 | 0, 1, 2 |\n| 3 | |\n| 4 | 1, 1, 1, 9 |\n| 5 | 9, 9, 9, 9 |\n| 6 | 1 |\n| 7 | 1 |\n| 8 | |\n| 9 | 0 |" } ] }, { "id": "19121", "image": "19121.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $665, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $665, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $665 | 21,200 | 1,000 |\n| $865 | 19,600 | 5,800 |\n| $1,065 | 18,000 | 10,600 |\n| $1,265 | 16,400 | 15,400 |\n| $1,465 | 14,800 | 20,200 |" } ] }, { "id": "19124", "image": "19124.png", "conversations": [ { "from": "human", "question": "A researcher recorded the number of cows on each farm in the county. How many farms have at least 16 cows but fewer than 22 cows?\n" }, { "from": "gpt", "solution": "Find the row with stem 1. Count all the leaves greater than or equal to 6.\n\nIn the row with stem 2, count all the leaves less than 2.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plots above. 3 farms have at least 16 cows but fewer than 22 cows.", "answer": "3", "table": "**Cows per farm**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1, 1, 2, 3, 4, 7, 7 |\n| 2 | 1, 2, 2, 4, 7, 9 |\n| 3 | 1, 1, 6, 6, 8, 8 |\n| 4 | 0, 4 |" } ] }, { "id": "19129", "image": "19129.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Allie just missed the 1.00 P.M. train at Walnut Road. What time is the next train?\n" }, { "from": "gpt", "solution": "Find 1:00 P. M. in the row for Walnut Road.\n\nLook for the next train in that row.\n\nThe next train is at 2:30 P. M.", "answer": "2:30 P.M.", "table": "**Subway train schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 | Column 5 |\n| --- | --- | --- | --- | --- |\n| Pine Avenue | 8:45 A.M. | 10:15 A.M. | 10:30 A.M. | 10:45 A.M. |\n| Oak Boulevard | 9:45 A.M. | 11:15 A.M. | 11:30 A.M. | 11:45 A.M. |\n| Cherry Boulevard | 10:00 A.M. | 11:30 A.M. | 11:45 A.M. | 12:00 P.M. |\n| Valley Street | 10:45 A.M. | 12:15 P.M. | 12:30 P.M. | 12:45 P.M. |\n| Taylor Road | 11:45 A.M. | 1:15 P.M. | 1:30 P.M. | 1:45 P.M. |\n| Lee Road | 12:45 P.M. | 2:15 P.M. | 2:30 P.M. | 2:45 P.M. |\n| Walnut Road | 1:00 P.M. | 2:30 P.M. | 2:45 P.M. | 3:00 P.M. |\n| View Boulevard | 1:15 P.M. | 2:45 P.M. | 3:00 P.M. | 3:15 P.M. |" } ] }, { "id": "19131", "image": "19131.png", "conversations": [ { "from": "human", "question": "Doug buys 1.5 pounds of rocks. What is the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the rocks. Multiply the price per pound by the number of pounds.\n$3 × 1.5 = $4.50\nThe total cost is $4.50.", "answer": "4.50", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| black sand | $3 per pound |\n| pebbles | $5 per pound |\n| white sand | $3 per pound |\n| coarse gravel | $2 per pound |\n| fine gravel | $3 per pound |\n| rocks | $3 per pound |" } ] }, { "id": "19136", "image": "19136.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{14 - 18}{18 - 17}\n = \\frac{-4}{1}\n = -4\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{10 - 18}{19 - 17}\n = \\frac{-8}{2}\n = -4\nThe two rates of change are the same.\n4.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 17 | 18 |\n| 18 | 14 |\n| 19 | 10 |" } ] }, { "id": "19140", "image": "19140.png", "conversations": [ { "from": "human", "question": "Convinced that he could do well as a competitor, Cameron tracked the scores on a TV game show over the course of a week. Which score did the greatest number of people receive?\n" }, { "from": "gpt", "solution": "Look at the frequency column. Find the greatest frequency. The greatest frequency is 19, which is in the row for 5. The greatest number of people scored 5.", "answer": "5", "table": "**Scores on a TV game show**\n\n| Score | Frequency |\n| --- | --- |\n| 5 | 19 |\n| 6 | 7 |\n| 7 | 17 |\n| 8 | 5 |\n| 9 | 18 |\n| 10 | 1 |" } ] }, { "id": "19149", "image": "19149.png", "conversations": [ { "from": "human", "question": "The school district compared how many math teachers each high school has. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n2, 2, 6, 6, 2, 7, 7\n\nFirst, arrange the numbers from least to greatest:\n\n2, 2, 2, 6, 6, 7, 7\n\nNow count how many times each number appears.\n\n2 appears 3 times.\n6 appears 2 times.\n7 appears 2 times.\n\nThe number that appears most often is 2.\n\nThe mode is 2.", "answer": "2", "table": "**Math teachers**\n\n| High school | Number of math teachers |\n| --- | --- |\n| Lincoln High | 2 |\n| Cedar High | 2 |\n| Northside High | 6 |\n| Hillview High | 6 |\n| River High | 2 |\n| Green High | 7 |\n| Westside High | 7 |" } ] }, { "id": "19161", "image": "19161.png", "conversations": [ { "from": "human", "question": "In science class, Kiera is measuring the temperature of different chemical mixtures. The temperatures of two mixtures are shown in the table. Which mixture's temperature is closest to zero?\n" }, { "from": "gpt", "solution": "A positive number means the temperature is above zero. A negative number means the temperature is below zero.\nTo find the temperature closest to zero, use absolute value. The absolute value of a temperature tells you how far it is from zero.\nBromine mixture: |-4| = 4\nAcetone mixture: |5| = 5\nThe temperature of the bromine mixture is closest to zero. It is only 4 degrees below zero.", "answer": "bromine mixture", "table": "| Mixture | Temperature (°C) |\n| --- | --- |\n| Bromine mixture | -4 |\n| Acetone mixture | 5 |" } ] }, { "id": "19168", "image": "19168.png", "conversations": [ { "from": "human", "question": "A pair of Logan High School hockey fans counted the number of games won by the school each year. According to the table, what was the rate of change between 2018 and 2019?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{5 games - 10 games}{2019 - 2018}\n = \\frac{5 games - 10 games}{1 year}\n = \\frac{-5 games}{1 year}\n = -5 games per year\nThe rate of change between 2018 and 2019 was - 5 games per year.", "answer": "-5", "table": "**Hockey games won by Logan High**\n\n| Year | Games won |\n| --- | --- |\n| 2017 | 7 |\n| 2018 | 10 |\n| 2019 | 5 |\n| 2020 | 12 |\n| 2021 | 13 |" } ] }, { "id": "19169", "image": "19169.png", "conversations": [ { "from": "human", "question": "How much money does Rodrigo need to buy a footstool and a set of bunk beds?\n" }, { "from": "gpt", "solution": "Add the price of a footstool and the price of a set of bunk beds:\n\n$24.36 + $57.48 = $81.84\n\nRodrigo needs $81.84.", "answer": "81.84", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| TV stand | $22.61 |\n| kitchen table | $76.35 |\n| rocking chair | $58.72 |\n| nightstand | $27.91 |\n| footstool | $24.36 |\n| set of bunk beds | $57.48 |" } ] }, { "id": "19175", "image": "19175.png", "conversations": [ { "from": "human", "question": "Darnell, a doctor's office receptionist, tracked the average waiting time at the office each month. According to the table, what was the rate of change between March and April?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{18 minutes - 17 minutes}{1 month}\n = \\frac{1 minute}{1 month}\n = 1 minute per month\nThe rate of change between March and April was 1 minute per month.", "answer": "1", "table": "**Average waiting time at a doctor's office**\n\n| Month | Waiting time (minutes) |\n| --- | --- |\n| January | 31 |\n| February | 18 |\n| March | 17 |\n| April | 18 |\n| May | 35 |" } ] }, { "id": "19180", "image": "19180.png", "conversations": [ { "from": "human", "question": "Each hamburger place has 10 booths. How many booths are in 5 hamburger places?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 50 booths in 5 hamburger places.", "answer": "50", "table": "| Number of hamburger places | Number of booths |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | 40 |\n| 5 | ? |" } ] }, { "id": "19181", "image": "19181.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $315, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $315, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $75 | 20,100 | 5,300 |\n| $135 | 15,400 | 8,400 |\n| $195 | 10,700 | 11,500 |\n| $255 | 6,000 | 14,600 |\n| $315 | 1,300 | 17,700 |" } ] }, { "id": "19184", "image": "19184.png", "conversations": [ { "from": "human", "question": "For Earth Day, Livingston High's environmental club tracked the number of seeds planted by its members. How many people did not plant any seeds?\n" }, { "from": "gpt", "solution": "Find the row for 0 seeds and read the frequency. The frequency is 4.\n\n4 people did not plant any seeds.", "answer": "4", "table": "**Planting seeds in the garden**\n\n| Seeds planted | Frequency |\n| --- | --- |\n| 0 | 4 |\n| 1 | 18 |\n| 2 | 12 |\n| 3 | 2 |" } ] }, { "id": "19185", "image": "19185.png", "conversations": [ { "from": "human", "question": "An actor was informed how many fan letters he received each day. How many more fan letters were received on Saturday than on Thursday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nSaturday: 675\nThursday: 293\n\nNow subtract: 675 - 293 = 382.\n\n382 more fan letters were received on Saturday.", "answer": "382", "table": "**Fan letters received**\n\n| Day | Number of fan letters |\n| --- | --- |\n| Wednesday | 557 |\n| Thursday | 293 |\n| Friday | 831 |\n| Saturday | 675 |" } ] }, { "id": "19189", "image": "19189.png", "conversations": [ { "from": "human", "question": "Each tank has 10 tadpoles. How many tadpoles are in 6 tanks?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 60 tadpoles in 6 tanks.", "answer": "60", "table": "| Number of tanks | Number of tadpoles |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | 40 |\n| 5 | 50 |\n| 6 | ? |" } ] }, { "id": "19195", "image": "19195.png", "conversations": [ { "from": "human", "question": "In science class, Meg is learning about places with extreme temperatures. She learns that the highest temperature ever recorded was in Death Valley, California. She also learns that the lowest temperature ever recorded was in Vostok Station, Antarctica. The record-setting temperatures of the two locations are shown in the table. Which location's temperature was further from zero?\n" }, { "from": "gpt", "solution": "A positive number means the temperature was above zero. A negative number means the temperature was below zero.\nTo find which temperature was further from zero, use absolute value. Absolute value tells you how far a temperature is from zero.\nDeath Valley: |134| = 134\nVostok Station: |-128| = 128\nThe temperature of Death Valley was further from zero. It was 134 degrees above zero.", "answer": "Death Valley", "table": "| Location | Temperature (°F) |\n| --- | --- |\n| Death Valley | 134 |\n| Vostok Station | -128 |" } ] }, { "id": "19196", "image": "19196.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $770, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $770, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $680 | 12,300 | 1,800 |\n| $710 | 9,800 | 5,700 |\n| $740 | 7,300 | 9,600 |\n| $770 | 4,800 | 13,500 |\n| $800 | 2,300 | 17,400 |" } ] }, { "id": "19201", "image": "19201.png", "conversations": [ { "from": "human", "question": "A toy store employee counted the number of toys in each bin in the sale section. What is the largest number of toys?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 8.\n\nNow find the highest leaf in the last row. The highest leaf is 7.\n\nThe largest number of toys has a stem of 8 and a leaf of 7. Write the stem first, then the leaf: 87.\n\nThe largest number of toys is 87 toys.", "answer": "87", "table": "**Toys per bin**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 2, 3, 6, 6, 7 |\n| 3 | 8 |\n| 4 | 2, 4, 5, 5, 6, 7 |\n| 5 | 2, 3, 3, 4, 4, 9 |\n| 6 | 0, 0, 9 |\n| 7 | 0, 7 |\n| 8 | 6, 7 |" } ] }, { "id": "19207", "image": "19207.png", "conversations": [ { "from": "human", "question": "For a math project, students in Mrs. Kramer's class recorded the number of pets that each student has. How many students have more than 2 pets?\n" }, { "from": "gpt", "solution": "Find the rows for 3, 4, and 5 pets. Add the frequencies for these rows.\n\nAdd:\n\n13 + 14 + 20 = 47\n\n47 students have more than 2 pets.", "answer": "47", "table": "**Pets**\n\n| Number of pets | Frequency |\n| --- | --- |\n| 0 | 11 |\n| 1 | 3 |\n| 2 | 2 |\n| 3 | 13 |\n| 4 | 14 |\n| 5 | 20 |" } ] }, { "id": "19218", "image": "19218.png", "conversations": [ { "from": "human", "question": "Each crate has 2 boxes of grapes. How many boxes of grapes are in 5 crates?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 10 boxes of grapes in 5 crates.", "answer": "10", "table": "| Number of crates | Number of boxes of grapes |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | 6 |\n| 4 | 8 |\n| 5 | ? |" } ] }, { "id": "19222", "image": "19222.png", "conversations": [ { "from": "human", "question": "How much more does a ride on the Upside-Down Twister cost than a ride on Wild Raft River?\n" }, { "from": "gpt", "solution": "Subtract the price of a ride on Wild Raft River from the price of a ride on the Upside-Down Twister.\n\n$5.75 - $4.89 = $0.86\n\nA ride on the Upside-Down Twister costs $0.86 more than a ride on Wild Raft River.", "answer": "0.86", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| ride on the Bumper Cars | $1.78 |\n| ride on the Big Ferris Wheel | $2.14 |\n| ride on Wild Raft River | $4.89 |\n| ride on the Upside-Down Twister | $5.75 |\n| ride on the Log Ride Splasher | $5.11 |" } ] }, { "id": "19226", "image": "19226.png", "conversations": [ { "from": "human", "question": "Bill buys 1 kilogram of dried mango. What is the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the dried mango. Multiply the price per kilogram by the number of kilograms.\n\n$2 × 1 = $2\n\nThe total cost is $2.", "answer": "2", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| dried apple | $1 per kilogram |\n| dried mango | $2 per kilogram |\n| dried pineapple | $3 per kilogram |\n| banana chips | $1 per kilogram |" } ] }, { "id": "19227", "image": "19227.png", "conversations": [ { "from": "human", "question": "The elementary school art teacher wrote down how many flower pots each child painted last week. How many children are there in all?\n" }, { "from": "gpt", "solution": "Add the frequencies for each row.\n\nAdd:\n\n11 + 1 + 4 + 13 = 29\n\nThere are 29 children in all.", "answer": "29", "table": "**Painting flower pots**\n\n| Flower pots painted | Frequency |\n| --- | --- |\n| 0 | 11 |\n| 1 | 1 |\n| 2 | 4 |\n| 3 | 13 |" } ] }, { "id": "19229", "image": "19229.png", "conversations": [ { "from": "human", "question": "A teacher at Mills Middle School studied the absence rates of her students over the course of a few years. In 2006, which student had the most absences?\n" }, { "from": "gpt", "solution": "Look at the numbers in the 2006 column. Find the greatest number in this column.\n\nThe greatest number is 18, which is in the Valentina row. Valentina had the most absences in 2006.", "answer": "Valentina", "table": "**Absences**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Student | 2005 | 2006 |\n| Valentina | 2 | 18 |\n| Preston | 13 | 3 |\n| Liz | 14 | 4 |" } ] }, { "id": "19230", "image": "19230.png", "conversations": [ { "from": "human", "question": "A museum curator counted the number of paintings in each exhibit at the art museum. How many exhibits have exactly 55 paintings?\n" }, { "from": "gpt", "solution": "For the number 55, the stem is 5, and the leaf is 5. Find the row where the stem is 5. In that row, count all the leaves equal to 5.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 exhibits have exactly 55 paintings.", "answer": "3", "table": "**Paintings per exhibit**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 2 |\n| 4 | 6, 9 |\n| 5 | 1, 2, 5, 5, 5, 7, 8 |\n| 6 | 1, 9 |\n| 7 | 0, 5 |" } ] }, { "id": "19231", "image": "19231.png", "conversations": [ { "from": "human", "question": "Each coat rack has 2 coats. How many coats are on 5 coat racks?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 10 coats on 5 coat racks.", "answer": "10", "table": "| Number of coat racks | Number of coats |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | 6 |\n| 4 | 8 |\n| 5 | ? |" } ] }, { "id": "19236", "image": "19236.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{3 - 2}{11 - 10}\n = \\frac{1}{1}\n = 1\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{12 - 2}{12 - 10}\n = \\frac{10}{2}\n = 5\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 10 | 2 |\n| 11 | 3 |\n| 12 | 12 |" } ] }, { "id": "19244", "image": "19244.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{3 - 1}{2 - 1}\n = \\frac{2}{1}\n = 2\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{6 - 3}{3 - 2}\n = \\frac{3}{1}\n = 3\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 1 | 1 |\n| 2 | 3 |\n| 3 | 6 |" } ] }, { "id": "19247", "image": "19247.png", "conversations": [ { "from": "human", "question": "How much money does Seth need to buy a soccer ticket and a hockey ticket?\n" }, { "from": "gpt", "solution": "Add the price of a soccer ticket and the price of a hockey ticket:\n\n$36 + $34 = $70\n\nSeth needs $70.", "answer": "70", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| golf ticket | $97 |\n| soccer ticket | $36 |\n| football ticket | $52 |\n| hockey ticket | $34 |\n| baseball ticket | $51 |" } ] }, { "id": "19256", "image": "19256.png", "conversations": [ { "from": "human", "question": "Every year Lancaster has a citywide relay and reports the winning times. According to the table, what was the rate of change between 2013 and 2014?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{34 minutes - 35 minutes}{2014 - 2013}\n = \\frac{34 minutes - 35 minutes}{1 year}\n = \\frac{-1 minutes}{1 year}\n = -1 minutes per year\nThe rate of change between 2013 and 2014 was - 1 minutes per year.", "answer": "-1", "table": "**Winning relay times**\n\n| Year | Winning time (minutes) |\n| --- | --- |\n| 2010 | 40 |\n| 2011 | 37 |\n| 2012 | 42 |\n| 2013 | 35 |\n| 2014 | 34 |" } ] }, { "id": "19257", "image": "19257.png", "conversations": [ { "from": "human", "question": "Regan, a fitness counselor, counted the number of pull-ups completed by each bootcamp participant. How many participants did more than 4 pull-ups?\n" }, { "from": "gpt", "solution": "Find the rows for 5 and 6 pull-ups. Add the frequencies for these rows.\n\nAdd:\n\n8 + 12 = 20\n\n20 participants did more than 4 pull-ups.", "answer": "20", "table": "**Doing pull-ups**\n\n| Number of pull-ups | Frequency |\n| --- | --- |\n| 0 | 7 |\n| 1 | 20 |\n| 2 | 19 |\n| 3 | 10 |\n| 4 | 2 |\n| 5 | 8 |\n| 6 | 12 |" } ] }, { "id": "19264", "image": "19264.png", "conversations": [ { "from": "human", "question": "An office manager counts the number of letters sent by each of his company's employees each week. How many employees mailed more than 1 letter?\n" }, { "from": "gpt", "solution": "Find the rows for 2 and 3 letters. Add the frequencies for these rows.\n\nAdd:\n\n17 + 16 = 33\n\n33 employees mailed more than 1 letter.", "answer": "33", "table": "**Mailing letters last week**\n\n| Letters mailed | Frequency |\n| --- | --- |\n| 0 | 6 |\n| 1 | 13 |\n| 2 | 17 |\n| 3 | 16 |" } ] }, { "id": "19268", "image": "19268.png", "conversations": [ { "from": "human", "question": "Devon, an employee at Hatfield's Convenience Store, looked at the sales of each of its soda products. Which beverage had lower sales on Friday, Nature's Nectar or Fizzy Fun?\n" }, { "from": "gpt", "solution": "Find the Friday column. Compare the numbers in this column for Nature's Nectar and Fizzy Fun.\n\n$1.00 is less than $10.00. Nature's Nectar had lower sales on Friday.", "answer": "Nature's Nectar", "table": "**Convenience store beverage sales**\n\n| Beverage | Thursday | Friday |\n| --- | --- | --- |\n| Pearl's Soda | $19 | $6 |\n| Fizzy Fun | $5 | $10 |\n| Nature's Nectar | $1 | $1 |\n| Brenner's Juices | $18 | $19 |\n| Krazy Kola | $1 | $10 |" } ] }, { "id": "19279", "image": "19279.png", "conversations": [ { "from": "human", "question": "The bird watcher counted the number of birds in each flock that passed overhead. What is the largest number of birds?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 6.\n\nNow find the highest leaf in the last row. The highest leaf is 5.\n\nThe largest number of birds has a stem of 6 and a leaf of 5. Write the stem first, then the leaf: 65.\n\nThe largest number of birds is 65 birds.", "answer": "65", "table": "**Birds per flock**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 4, 7, 8 |\n| 4 | 6 |\n| 5 | 1, 3, 4, 6 |\n| 6 | 0, 5, 5 |" } ] }, { "id": "19281", "image": "19281.png", "conversations": [ { "from": "human", "question": "Xavier bought 1.5 pounds of chocolates. How much did he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the chocolates. Multiply the price per pound by the number of pounds.\n$4 × 1.5 = $6\nHe spent $6.", "answer": "6", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| licorice | $4/pound |\n| yogurt-covered peanuts | $2/pound |\n| chocolates | $4/pound |\n| gummy bears | $4/pound |" } ] }, { "id": "19282", "image": "19282.png", "conversations": [ { "from": "human", "question": "Derek went to the store. He bought 0.7 pounds of lima beans. How much did he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the lima beans. Multiply the price per pound by the number of pounds.\n$3 × 0.7 = $2.10\nHe spent $2.10.", "answer": "2.10", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| kidney beans | $2 per lb |\n| lima beans | $3 per lb |\n| garbanzo beans | $2 per lb |\n| mung beans | $1 per lb |\n| lentils | $1 per lb |\n| soybeans | $3 per lb |" } ] }, { "id": "19283", "image": "19283.png", "conversations": [ { "from": "human", "question": "The members of the local garden club tallied the number of plants in each person's garden. What is the smallest number of plants?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 5.\n\nNow find the lowest leaf in the first row. The lowest leaf is 5.\n\nThe smallest number of plants has a stem of 5 and a leaf of 5. Write the stem first, then the leaf: 55.\n\nThe smallest number of plants is 55 plants.", "answer": "55", "table": "**Plants per garden**\n\n| Stem | Leaf |\n| --- | --- |\n| 5 | 5, 9 |\n| 6 | 0, 3, 9 |\n| 7 | 8 |\n| 8 | 1, 9 |" } ] }, { "id": "19289", "image": "19289.png", "conversations": [ { "from": "human", "question": "Several people compared how many Web pages they had visited. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n91, 84, 86, 97, 95, 93, 96, 94\n\nFirst, find the greatest number. The greatest number is 97.\n\nNext, find the least number. The least number is 84.\n\nSubtract the least number from the greatest number:\n\n97 − 84 = 13\n\nThe range is 13.", "answer": "13", "table": "**Web pages visited**\n\n| Person | Number of Web pages |\n| --- | --- |\n| Scott | 91 |\n| Vivian | 84 |\n| Ben | 86 |\n| Maddie | 97 |\n| Naomi | 95 |\n| Chase | 93 |\n| Leon | 96 |\n| Dylan | 94 |" } ] }, { "id": "19297", "image": "19297.png", "conversations": [ { "from": "human", "question": "A dentist was making note of his upcoming appointments with different aged patients and the reasons for their visits. What is the probability that a randomly selected appointment is for a broken tooth and is with patients 19-60 years old? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the appointment is for a broken tooth\" and B be the event \"the appointment is with patients 19-60 years old\".\nTo find the probability that a appointment is for a broken tooth and is with patients 19-60 years old, first identify the sample space and the event.\nThe outcomes in the sample space are the different appointments. Each appointment is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the appointment is for a broken tooth and is with patients 19-60 years old\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the appointment is for a broken tooth and is with patients 19-60 years old\", so look at the table to see how many appointments are for a broken tooth and are with patients 19-60 years old.\nThe number of appointments that are for a broken tooth and are with patients 19-60 years old is 4.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of appointments.\n4 + 4 + 2 + 4 = 14\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{4}{14}\n = \\frac{2}{7}\nThe probability that a appointment is for a broken tooth and is with patients 19-60 years old is \\frac{2}{7}.", "answer": "2/7", "table": "| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| | Patients under 18 years old | Patients 19-60 years old |\n| Regular cleaning | 4 | 2 |\n| Broken tooth | 4 | 4 |" } ] }, { "id": "19305", "image": "19305.png", "conversations": [ { "from": "human", "question": "Each train car has 10 people. How many people are in 6 train cars?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 60 people in 6 train cars.", "answer": "60", "table": "| Number of train cars | Number of people |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | 40 |\n| 5 | 50 |\n| 6 | ? |" } ] }, { "id": "19310", "image": "19310.png", "conversations": [ { "from": "human", "question": "How much money does Danny need to buy 4 wrenches?\n" }, { "from": "gpt", "solution": "Find the total cost of 4 wrenches by multiplying 4 times the price of a wrench.\n\n$6.13 × 4 = $24.52\n\nDanny needs $24.52.", "answer": "24.52", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| measuring tape | $5.40 |\n| padlock | $5.93 |\n| broom | $7.32 |\n| wrench | $6.13 |\n| rake | $5.86 |" } ] }, { "id": "19313", "image": "19313.png", "conversations": [ { "from": "human", "question": "How much more does a grandfather clock cost than a crystal vase?\n" }, { "from": "gpt", "solution": "Subtract the price of a crystal vase from the price of a grandfather clock.\n\n$628.00 - $464.00 = $164.00\n\nA grandfather clock costs $164.00 more than a crystal vase.", "answer": "164", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| silver coat rack | $796.00 |\n| grandfather clock | $628.00 |\n| crystal sculpture | $734.00 |\n| rug | $274.00 |\n| crystal vase | $464.00 |\n| oil painting | $328.00 |" } ] }, { "id": "19318", "image": "19318.png", "conversations": [ { "from": "human", "question": "Some teachers compared how many years they have been teaching. Who has been teaching the longest?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 17.\n\nNow find the corresponding teacher. Mr. Boone corresponds to 17.", "answer": "Mr. Boone", "table": "**Years of teaching**\n\n| Teacher | Number of years |\n| --- | --- |\n| Miss Watson | 16 |\n| Ms. Yamamoto | 10 |\n| Mr. Gutierrez | 12 |\n| Mr. Boone | 17 |" } ] }, { "id": "19321", "image": "19321.png", "conversations": [ { "from": "human", "question": "Megan looked at the dates of the digital photos on her computer to find out how many she had taken in the past 5 days. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 8, 9, 2, 7\n\nFirst, count how many numbers are in the group.\n\nThere are 5 numbers.\n\nNow add all the numbers together:\n\n9 + 8 + 9 + 2 + 7 = 35\n\nNow divide the sum by the number of numbers:\n\n35 ÷ 5 = 7\n\nThe mean is 7.", "answer": "7", "table": "**Photographs taken**\n\n| Day | Number of photographs |\n| --- | --- |\n| Sunday | 9 |\n| Monday | 8 |\n| Tuesday | 9 |\n| Wednesday | 2 |\n| Thursday | 7 |" } ] }, { "id": "19322", "image": "19322.png", "conversations": [ { "from": "human", "question": "Some friends compared the sizes of their sticker collections. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 6, 6, 9, 7, 7\n\nFirst, arrange the numbers from least to greatest:\n\n6, 6, 7, 7, 7, 9\n\nNow count how many times each number appears.\n\n6 appears 2 times.\n7 appears 3 times.\n9 appears 1 time.\n\nThe number that appears most often is 7.\n\nThe mode is 7.", "answer": "7", "table": "**Sticker collections**\n\n| Name | Number of stickers |\n| --- | --- |\n| Amy | 7 |\n| Clara | 6 |\n| Darnel | 6 |\n| Hunter | 9 |\n| Becky | 7 |\n| Rafi | 7 |" } ] }, { "id": "19328", "image": "19328.png", "conversations": [ { "from": "human", "question": "Denise spent a week at the beach and recorded the number of shells she found each day. According to the table, what was the rate of change between Monday and Tuesday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{4 shells - 5 shells}{1 day}\n = \\frac{-1 shells}{1 day}\n = -1 shells per day\nThe rate of change between Monday and Tuesday was - 1 shells per day.", "answer": "-1", "table": "**Shells Denise found**\n\n| Day | Number of shells |\n| --- | --- |\n| Monday | 5 |\n| Tuesday | 4 |\n| Wednesday | 7 |\n| Thursday | 8 |\n| Friday | 3 |" } ] }, { "id": "19332", "image": "19332.png", "conversations": [ { "from": "human", "question": "Several people compared how many Web pages they had visited. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n10, 7, 3, 7, 3, 3, 3, 10\n\nFirst, arrange the numbers from least to greatest:\n\n3, 3, 3, 3, 7, 7, 10, 10\n\nNow count how many times each number appears.\n\n3 appears 4 times.\n7 appears 2 times.\n10 appears 2 times.\n\nThe number that appears most often is 3.\n\nThe mode is 3.", "answer": "3", "table": "**Web pages visited**\n\n| Person | Number of Web pages |\n| --- | --- |\n| Oscar | 10 |\n| Naomi | 7 |\n| Ariel | 3 |\n| Marcy | 7 |\n| Dakota | 3 |\n| Jasmine | 3 |\n| Brody | 3 |\n| Tom | 10 |" } ] }, { "id": "19334", "image": "19334.png", "conversations": [ { "from": "human", "question": "Riley likes watching the show Engineering Marvels. In last night's episode, the engineering team visited a tall skyscraper and a deep mine. A banner at the bottom of the screen showed the elevation of each location the team visited. Which location is closer to sea level?\n" }, { "from": "gpt", "solution": "The top of the skyscraper has a positive elevation, so it is above sea level. The bottom of the mine has a negative elevation, so it is below sea level.\nTo find the location closer to sea level, use absolute value. Absolute value tells you how far each location is from sea level.\nTop of the skyscraper: |275| = 275\nBottom of the mine: |-260| = 260\nThe top of the skyscraper is 275 meters above sea level, but the bottom of the mine is only260 meters below sea level. The bottom of the mine is closer to sea level.", "answer": "bottom of the mine", "table": "| Location | Elevation (m) |\n| --- | --- |\n| Top of the skyscraper | 275 |\n| Bottom of the mine | -260 |" } ] }, { "id": "19337", "image": "19337.png", "conversations": [ { "from": "human", "question": "An adventure tour company found out how many whales people saw on its most popular whale tour. How many people saw at least 2 whales?\n" }, { "from": "gpt", "solution": "Find the rows for 2, 3, 4, and 5 whales. Add the frequencies for these rows.\n\nAdd:\n\n10 + 7 + 5 + 8 = 30\n\n30 people saw at least 2 whales.", "answer": "30", "table": "**Whale watching**\n\n| Whales spotted | Frequency |\n| --- | --- |\n| 0 | 16 |\n| 1 | 15 |\n| 2 | 10 |\n| 3 | 7 |\n| 4 | 5 |\n| 5 | 8 |" } ] }, { "id": "19345", "image": "19345.png", "conversations": [ { "from": "human", "question": "Each room has 10 tables. How many tables are in 5 rooms?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 50 tables in 5 rooms.", "answer": "50", "table": "| Number of rooms | Number of tables |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | 40 |\n| 5 | ? |" } ] }, { "id": "19353", "image": "19353.png", "conversations": [ { "from": "human", "question": "Kaylee purchased 0.2 pounds of rectangular erasers . What was the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the rectangular erasers. Multiply the price per pound by the number of pounds.\n$3 × 0.2 = $0.60\nThe total cost was $0.60.", "answer": "0.60", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| alphabet erasers | $3/lb |\n| animal erasers | $3/lb |\n| rectangular erasers | $3/lb |\n| star erasers | $5/lb |" } ] }, { "id": "19356", "image": "19356.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $475, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $475, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $355 | 14,500 | 3,500 |\n| $475 | 11,700 | 4,000 |\n| $595 | 8,900 | 4,500 |\n| $715 | 6,100 | 5,000 |\n| $835 | 3,300 | 5,500 |" } ] }, { "id": "19357", "image": "19357.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does the boat depart from Fisherman's Cove?\n" }, { "from": "gpt", "solution": "Find Fisherman's Cove on the schedule. Find the departure time for Fisherman's Cove.\n\nFisherman's Cove: 4:00 P. M.", "answer": "4:00 P.M.", "table": "**Tour boat schedule**\n\n| Location | Arrive | Depart |\n| --- | --- | --- |\n| Palm Tree Island | 9:05 A.M. | 9:25 A.M. |\n| Kite Coast | 11:05 A.M. | 11:35 A.M. |\n| Sea Lion Docks | 12:55 P.M. | 1:20 P.M. |\n| The Boardwalk | 2:55 P.M. | 3:05 P.M. |\n| Fisherman's Cove | 3:40 P.M. | 4:00 P.M. |\n| Oyster Lighthouse | 5:10 P.M. | 5:50 P.M. |\n| Ocean City | 7:20 P.M. | 7:55 P.M. |" } ] }, { "id": "19360", "image": "19360.png", "conversations": [ { "from": "human", "question": "Victor tracked the attendance at the school play. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n56, 51, 54, 51, 56, 44\n\nFirst, count how many numbers are in the group.\n\nThere are 6 numbers.\n\nNow add all the numbers together:\n\n56 + 51 + 54 + 51 + 56 + 44 = 312\n\nNow divide the sum by the number of numbers:\n\n312 ÷ 6 = 52\n\nThe mean is 52.", "answer": "52", "table": "**Tickets sold**\n\n| Day | Number of tickets |\n| --- | --- |\n| Tuesday | 56 |\n| Wednesday | 51 |\n| Thursday | 54 |\n| Friday | 51 |\n| Saturday | 56 |\n| Sunday | 44 |" } ] }, { "id": "19367", "image": "19367.png", "conversations": [ { "from": "human", "question": "Newberg High School's student council recruited teachers and students to serve on each of its committees. Which committee has the most students?\n" }, { "from": "gpt", "solution": "Look at the numbers in the Students column. Find the greatest number in this column.\n\nThe greatest number is 13, which is in the Budget row. The most students are on the budget committee.", "answer": "budget", "table": "**Student council committees**\n\n| Committee | Students | Teachers |\n| --- | --- | --- |\n| Budget | 13 | 14 |\n| Cafeteria | 4 | 2 |\n| Sports | 2 | 11 |\n| Field trip | 5 | 13 |" } ] }, { "id": "19373", "image": "19373.png", "conversations": [ { "from": "human", "question": "A farmer counted the number of apples on each tree in his orchard. What is the largest number of apples?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 9.\n\nNow find the highest leaf in the last row. The highest leaf is 0.\n\nThe largest number of apples has a stem of 9 and a leaf of 0. Write the stem first, then the leaf: 90.\n\nThe largest number of apples is 90 apples.", "answer": "90", "table": "**Apples per tree**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 5, 6 |\n| 3 | 1 |\n| 4 | 1 |\n| 5 | 1, 8 |\n| 6 | 2, 5, 8 |\n| 7 | 1, 7 |\n| 8 | 6 |\n| 9 | 0 |" } ] }, { "id": "19374", "image": "19374.png", "conversations": [ { "from": "human", "question": "Stamford will decide whether to extend its public pool's hours by looking at the number of times its residents visited the pool last month. How many people went swimming fewer than 2 times?\n" }, { "from": "gpt", "solution": "Find the row for 1 time and read the frequency. The frequency is 3.\n\n3 people went swimming fewer than 2 times.", "answer": "3", "table": "**Going swimming last month**\n\n| Number of times | Frequency |\n| --- | --- |\n| 1 | 3 |\n| 2 | 10 |\n| 3 | 17 |\n| 4 | 6 |" } ] }, { "id": "19378", "image": "19378.png", "conversations": [ { "from": "human", "question": "Some candy companies compared how many pieces of candy they have produced. Which company has produced the most candy?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 895.\n\nNow find the corresponding company. Sugary Candies corresponds to 895.", "answer": "Sugary Candies", "table": "**Candy production**\n\n| Company | Number of pieces of candy |\n| --- | --- |\n| Goodman Candies | 859 |\n| Sugary Candies | 895 |\n| Candy by Katie | 858 |\n| Tasty Treats | 889 |" } ] }, { "id": "19379", "image": "19379.png", "conversations": [ { "from": "human", "question": "A zoologist counted the number of reptiles at each of the state's zoos. How many more reptiles does the Northside Zoo have than the Wilderness Zoo?\n" }, { "from": "gpt", "solution": "Add the numbers in the Northside Zoo row. Then, add the numbers in the Wilderness Zoo row.\n\nNorthside Zoo: 19 + 6 = 25\nWilderness Zoo: 15 + 3 = 18\n\nNow subtract:\n\n25 − 18 = 7\n\nThe Northside Zoo has 7 more reptiles than the Wilderness Zoo.", "answer": "7", "table": "**Reptiles in zoos**\n\n| Zoo | Snakes | Turtles |\n| --- | --- | --- |\n| Wilderness Zoo | 15 | 3 |\n| Northside Zoo | 19 | 6 |\n| Pacific Zoo | 9 | 18 |\n| South Zoo | 18 | 14 |\n| Eastern Zoo | 14 | 12 |" } ] }, { "id": "19385", "image": "19385.png", "conversations": [ { "from": "human", "question": "While looking through an almanac at the library, Victoria noticed some data showing the population density of various states. In 1990, which of the states shown had the most people per square mile?\n" }, { "from": "gpt", "solution": "Look at the numbers in the 1990 column. Find the greatest number in this column.\n\nThe greatest number is 10, which is in the Nevada row. In 1990, Nevada had the most people per square mile.", "answer": "Nevada", "table": "**Population per square mile**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| State | 1990 | 2000 |\n| Nevada | 10 | 18 |\n| South Dakota | 9 | 10 |\n| Wyoming | 4 | 5 |\n| North Dakota | 9 | 9 |\n| Montana | 5 | 6 |" } ] }, { "id": "19387", "image": "19387.png", "conversations": [ { "from": "human", "question": "A restaurant's average food preparation time was tracked from day to day as part of an efficiency improvement program. According to the table, what was the rate of change between Thursday and Friday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{33 minutes - 37 minutes}{1 day}\n = \\frac{-4 minutes}{1 day}\n = -4 minutes per day\nThe rate of change between Thursday and Friday was - 4 minutes per day.", "answer": "-4", "table": "**Average food preparation time**\n\n| Day | Food preparation time (minutes) |\n| --- | --- |\n| Tuesday | 36 |\n| Wednesday | 37 |\n| Thursday | 37 |\n| Friday | 33 |\n| Saturday | 32 |" } ] }, { "id": "19392", "image": "19392.png", "conversations": [ { "from": "human", "question": "Mrs. Ballard, the science teacher, informed her students of their scores on Monday's test. What is the highest score?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 9.\n\nNow find the highest leaf in the last row. The highest leaf is 0.\n\nThe highest score has a stem of 9 and a leaf of 0. Write the stem first, then the leaf: 90.\n\nThe highest score is 90 points.", "answer": "90", "table": "**Science test scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 4, 9 |\n| 2 | |\n| 3 | |\n| 4 | 3, 8 |\n| 5 | 0, 2, 6 |\n| 6 | |\n| 7 | 4 |\n| 8 | 1, 4 |\n| 9 | 0 |" } ] }, { "id": "19399", "image": "19399.png", "conversations": [ { "from": "human", "question": "Matt's class recorded how many cans of food each student collected for their canned food drive. Together, how many cans of food did Matt and Angie collect?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nMatt: 863\nAngie: 380\n\nNow add: 863 + 380 = 1,243.\n\nMatt and Angie collected 1,243 cans of food.", "answer": "1,243", "table": "**Cans of food collected**\n\n| Name | Number of cans of food |\n| --- | --- |\n| Matt | 863 |\n| Angie | 380 |\n| David | 745 |" } ] }, { "id": "19411", "image": "19411.png", "conversations": [ { "from": "human", "question": "Some students compared how many clubs they belong to. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n5, 7, 5, 10, 7, 7\n\nFirst, arrange the numbers from least to greatest:\n\n5, 5, 7, 7, 7, 10\n\nNow count how many times each number appears.\n\n5 appears 2 times.\n7 appears 3 times.\n10 appears 1 time.\n\nThe number that appears most often is 7.\n\nThe mode is 7.", "answer": "7", "table": "**Clubs**\n\n| Name | Number of clubs |\n| --- | --- |\n| Jared | 5 |\n| Lee | 7 |\n| Reba | 5 |\n| Kamal | 10 |\n| Sanjay | 7 |\n| Aiden | 7 |" } ] }, { "id": "19413", "image": "19413.png", "conversations": [ { "from": "human", "question": "How much more does a CD signed by a famous band cost than a program signed by a famous dancer?\n" }, { "from": "gpt", "solution": "Subtract the price of a program signed by a famous dancer from the price of a CD signed by a famous band.\n\n$70.00 - $40.00 = $30.00\n\nA CD signed by a famous band costs $30.00 more than a program signed by a famous dancer.", "answer": "30", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| photograph signed by a famous movie star | $38.00 |\n| DVD signed by a famous comedian | $49.00 |\n| photograph signed by a famous singer | $74.00 |\n| program signed by a famous dancer | $40.00 |\n| CD signed by a famous band | $70.00 |\n| jersey signed by a famous hockey player | $90.00 |" } ] }, { "id": "19414", "image": "19414.png", "conversations": [ { "from": "human", "question": "The math club made a table showing the ages of its members. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n11, 9, 9, 7, 7, 12, 9, 7\n\nFirst, find the greatest number. The greatest number is 12.\n\nNext, find the least number. The least number is 7.\n\nSubtract the least number from the greatest number:\n\n12 − 7 = 5\n\nThe range is 5.", "answer": "5", "table": "**Club members' ages**\n\n| Name | Age (years) |\n| --- | --- |\n| Rob | 11 |\n| Shannon | 9 |\n| Quinn | 9 |\n| Whitney | 7 |\n| Felipe | 7 |\n| Camille | 12 |\n| Ava | 9 |\n| Kendra | 7 |" } ] }, { "id": "19421", "image": "19421.png", "conversations": [ { "from": "human", "question": "What is the total cost for 4 kilograms of apple butter and 5 kilograms of boysenberry jam?\n" }, { "from": "gpt", "solution": "Find the cost of the apple butter. Multiply:\n\n$2 × 4 = $8\n\nFind the cost of the boysenberry jam. Multiply:\n\n$2 × 5 = $10\n\nNow find the total cost by adding:\n\n$8 + $10 = $18\n\nThe total cost is $18.", "answer": "18", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| blackberry jam | $2/kg |\n| boysenberry jam | $2/kg |\n| raspberry jam | $2/kg |\n| apple butter | $2/kg |\n| blueberry jam | $2/kg |" } ] }, { "id": "19437", "image": "19437.png", "conversations": [ { "from": "human", "question": "How much more does a red sports car cost than a yellow sports car?\n" }, { "from": "gpt", "solution": "Subtract the price of a yellow sports car from the price of a red sports car.\n\n$6,819.00 - $6,280.00 = $539.00\n\nA red sports car costs $539.00 more than a yellow sports car.", "answer": "539", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| black motorcycle | $8,835.00 |\n| red sports car | $6,819.00 |\n| old pick-up truck | $4,175.00 |\n| tan four-door sedan | $8,749.00 |\n| yellow sports car | $6,280.00 |" } ] }, { "id": "19442", "image": "19442.png", "conversations": [ { "from": "human", "question": "The parks department compared how many soccer fields there are at each park. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n2, 2, 5, 4, 1, 3, 2, 2\n\nFirst, find the greatest number. The greatest number is 5.\n\nNext, find the least number. The least number is 1.\n\nSubtract the least number from the greatest number:\n\n5 − 1 = 4\n\nThe range is 4.", "answer": "4", "table": "**Soccer fields**\n\n| Park | Number of soccer fields |\n| --- | --- |\n| Canyon Park | 2 |\n| Moon Park | 2 |\n| Windy Hill Park | 5 |\n| Lighthouse Park | 4 |\n| Middle Park | 1 |\n| Madison Park | 3 |\n| Juniper Park | 2 |\n| Elmhurst Park | 2 |" } ] }, { "id": "19444", "image": "19444.png", "conversations": [ { "from": "human", "question": "How much more does baked ziti cost than a mushroom pizza?\n" }, { "from": "gpt", "solution": "Subtract the price of a mushroom pizza from the price of baked ziti.\n\n$13 - $11 = $2\n\nBaked ziti costs $2 more than a mushroom pizza.", "answer": "2", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| mushroom pizza | $11 |\n| ravioli | $16 |\n| pasta with meat sauce | $14 |\n| baked ziti | $13 |" } ] }, { "id": "19450", "image": "19450.png", "conversations": [ { "from": "human", "question": "Several families compared how many vegetables they ate in a year. How many more vegetables did the Wensing family eat than the Pariseau family?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nWensing family: 750\nPariseau family: 637\n\nNow subtract: 750 - 637 = 113.\n\nThe Wensing family ate 113 more vegetables than the Pariseau family.", "answer": "113", "table": "**Vegetables eaten in a year**\n\n| Family | Number of vegetables eaten |\n| --- | --- |\n| Wensing family | 750 |\n| Pariseau family | 637 |\n| Yumol family | 743 |" } ] }, { "id": "19457", "image": "19457.png", "conversations": [ { "from": "human", "question": "The Ashland Tourism Office researched how often people played miniature golf last summer. How many people played mini-golf exactly 3 times last summer?\n" }, { "from": "gpt", "solution": "Find the row for 3 times and read the frequency. The frequency is 1.\n\n1 person played mini-golf exactly 3 times last summer.", "answer": "1", "table": "**Playing miniature golf last summer**\n\n| Times played | Frequency |\n| --- | --- |\n| 0 | 9 |\n| 1 | 15 |\n| 2 | 10 |\n| 3 | 1 |\n| 4 | 4 |\n| 5 | 11 |\n| 6 | 12 |" } ] }, { "id": "19468", "image": "19468.png", "conversations": [ { "from": "human", "question": "A school administrator who was concerned about grade inflation looked over the number of straight-A students from year to year. According to the table, what was the rate of change between 2017 and 2018?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{46 students - 22 students}{2018 - 2017}\n = \\frac{46 students - 22 students}{1 year}\n = \\frac{24 students}{1 year}\n = 24 students per year\nThe rate of change between 2017 and 2018 was 24 students per year.", "answer": "24", "table": "**Straight-A students**\n\n| Year | Students |\n| --- | --- |\n| 2016 | 46 |\n| 2017 | 22 |\n| 2018 | 46 |\n| 2019 | 32 |\n| 2020 | 3 |" } ] }, { "id": "19473", "image": "19473.png", "conversations": [ { "from": "human", "question": "The parks department compared how many basketball hoops there are at each park. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n10, 6, 9, 5, 2, 4, 3, 8\n\nFirst, find the greatest number. The greatest number is 10.\n\nNext, find the least number. The least number is 2.\n\nSubtract the least number from the greatest number:\n\n10 − 2 = 8\n\nThe range is 8.", "answer": "8", "table": "**Basketball hoops**\n\n| Park | Number of basketball hoops |\n| --- | --- |\n| Westfield Park | 10 |\n| Riverfront Park | 6 |\n| Mooreland Park | 9 |\n| Linden Park | 5 |\n| Crestview Park | 2 |\n| Heron Park | 4 |\n| Pinehurst Park | 3 |\n| Kelly Park | 8 |" } ] }, { "id": "19475", "image": "19475.png", "conversations": [ { "from": "human", "question": "How much money does Brittany need to buy 2 cans of peaches?\n" }, { "from": "gpt", "solution": "Find the total cost of 2 cans of peaches by multiplying 2 times the price of a can of peaches.\n\n$1.72 × 2 = $3.44\n\nBrittany needs $3.44.", "answer": "3.44", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| jar of cherries | $4.51 |\n| can of peaches | $1.72 |\n| can of fruit cocktail | $2.46 |\n| can of tuna fish | $1.84 |" } ] }, { "id": "19476", "image": "19476.png", "conversations": [ { "from": "human", "question": "Dan has $0.15. Does he have enough to buy a piece of polka-dotted paper and a piece of red and purple stationery?\n" }, { "from": "gpt", "solution": "Add the price of a piece of polka-dotted paper and the price of a piece of red and purple stationery:\n\n$0.06 + $0.09 = $0.15\n\nSince Dan has $0.15, he has just enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| purple envelope | $0.07 |\n| piece of polka-dotted paper | $0.06 |\n| piece of elegant stationery | $0.07 |\n| piece of pink paper | $0.01 |\n| piece of red and purple stationery | $0.09 |" } ] }, { "id": "19484", "image": "19484.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does the relay race begin?\n" }, { "from": "gpt", "solution": "Find the relay race on the schedule. Find the beginning time for the relay race.\n\nrelay race: 11:10 A. M.", "answer": "11:10 A.M.", "table": "**Field day schedule**\n\n| Event | Begin | End |\n| --- | --- | --- |\n| scooter race | 10:05 A.M. | 10:40 A.M. |\n| potato sack race | 10:45 A.M. | 10:55 A.M. |\n| relay race | 11:10 A.M. | 11:50 A.M. |\n| jump rope race | 12:05 P.M. | 1:00 P.M. |\n| water balloon toss | 1:10 P.M. | 2:05 P.M. |\n| hula hoop contest | 2:15 P.M. | 3:05 P.M. |\n| tug-of-war | 3:10 P.M. | 3:30 P.M. |\n| egg relay | 3:40 P.M. | 4:40 P.M. |" } ] }, { "id": "19488", "image": "19488.png", "conversations": [ { "from": "human", "question": "Bert's Crafts is interested in offering a scarf knitting class, so the store considers how many scarves people already own. How many people have at least 3 scarves?\n" }, { "from": "gpt", "solution": "Find the rows for 3 and 4 scarves. Add the frequencies for these rows.\n\nAdd:\n\n14 + 16 = 30\n\n30 people have at least 3 scarves.", "answer": "30", "table": "**Scarves**\n\n| Number of scarves | Frequency |\n| --- | --- |\n| 0 | 1 |\n| 1 | 17 |\n| 2 | 3 |\n| 3 | 14 |\n| 4 | 16 |" } ] }, { "id": "19499", "image": "19499.png", "conversations": [ { "from": "human", "question": "How much money does Alice need to buy a radio ad and an online ad?\n" }, { "from": "gpt", "solution": "Add the price of a radio ad and the price of an online ad:\n\n$1,152 + $1,494 = $2,646\n\nAlice needs $2,646.", "answer": "2,646", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| radio ad | $1,152 |\n| online ad | $1,494 |\n| full-page newspaper ad | $2,525 |\n| magazine ad | $5,948 |\n| TV ad | $5,664 |" } ] }, { "id": "19501", "image": "19501.png", "conversations": [ { "from": "human", "question": "Fans of the Kensington baseball team compared the number of games won by their team each year. According to the table, what was the rate of change between 2010 and 2011?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{38 games - 38 games}{2011 - 2010}\n = \\frac{38 games - 38 games}{1 year}\n = \\frac{0 games}{1 year}\n = 0 games per year\nThe rate of change between 2010 and 2011 was 0 games per year.", "answer": "0", "table": "**Games won by the Kensington baseball team**\n\n| Year | Games won |\n| --- | --- |\n| 2009 | 28 |\n| 2010 | 38 |\n| 2011 | 38 |\n| 2012 | 29 |\n| 2013 | 34 |" } ] }, { "id": "19504", "image": "19504.png", "conversations": [ { "from": "human", "question": "A reporter looked through his notebook to remember how many people he had interviewed in the past 5 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 10, 8, 5, 9\n\nFirst, arrange the numbers from least to greatest:\n\n5, 6, 8, 9, 10\n\nNow find the number in the middle.\n\n5, 6, 8, 9, 10\n\nThe number in the middle is 8.\n\nThe median is 8.", "answer": "8", "table": "**People interviewed**\n\n| Day | Number of people |\n| --- | --- |\n| Monday | 6 |\n| Tuesday | 10 |\n| Wednesday | 8 |\n| Thursday | 5 |\n| Friday | 9 |" } ] }, { "id": "19505", "image": "19505.png", "conversations": [ { "from": "human", "question": "An author recorded how many words she wrote in the past 4 days. On which day did the author write the most words?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 592.\n\nNow find the corresponding day. Friday corresponds to 592.", "answer": "Friday", "table": "**Words written**\n\n| Day | Number of words |\n| --- | --- |\n| Tuesday | 525 |\n| Wednesday | 529 |\n| Thursday | 559 |\n| Friday | 592 |" } ] }, { "id": "19523", "image": "19523.png", "conversations": [ { "from": "human", "question": "How much money does Maureen need to buy a birthday cake and a carrot cake?\n" }, { "from": "gpt", "solution": "Add the price of a birthday cake and the price of a carrot cake:\n\n$28.75 + $18.48 = $47.23\n\nMaureen needs $47.23.", "answer": "47.23", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| chocolate cake | $15.23 |\n| birthday cake | $28.75 |\n| carrot cake | $18.48 |\n| pear tart | $23.91 |\n| almond tart | $12.42 |\n| apple tart | $13.36 |" } ] }, { "id": "19530", "image": "19530.png", "conversations": [ { "from": "human", "question": "The shop teacher, Mr. Johnston, wrote down how many picture frames the students made last week. How many students made exactly 6 picture frames?\n" }, { "from": "gpt", "solution": "Find the row for 6 picture frames and read the frequency. The frequency is 19.\n\n19 students made exactly 6 picture frames.", "answer": "19", "table": "**Making picture frames**\n\n| Picture frames made | Frequency |\n| --- | --- |\n| 0 | 2 |\n| 1 | 10 |\n| 2 | 3 |\n| 3 | 18 |\n| 4 | 17 |\n| 5 | 11 |\n| 6 | 19 |" } ] }, { "id": "19542", "image": "19542.png", "conversations": [ { "from": "human", "question": "The Greenwood Art Museum recorded how many finger puppets the children made at last Sunday's art workshop. How many children are there in all?\n" }, { "from": "gpt", "solution": "Add the frequencies for each row.\n\nAdd:\n\n16 + 13 + 7 + 10 + 11 = 57\n\nThere are 57 children in all.", "answer": "57", "table": "**Making finger puppets**\n\n| Finger puppets made | Frequency |\n| --- | --- |\n| 0 | 16 |\n| 1 | 13 |\n| 2 | 7 |\n| 3 | 10 |\n| 4 | 11 |" } ] }, { "id": "19543", "image": "19543.png", "conversations": [ { "from": "human", "question": "Professor Kerr informed his students of their scores on the midterm exam. What is the lowest score?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 1.\n\nNow find the lowest leaf in the first row. The lowest leaf is 3.\n\nThe lowest score has a stem of 1 and a leaf of 3. Write the stem first, then the leaf: 13.\n\nThe lowest score is 13 points.", "answer": "13", "table": "**Midterm exam scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 3, 6, 9 |\n| 2 | 2, 7 |\n| 3 | 1 |\n| 4 | |\n| 5 | 4 |\n| 6 | 0 |\n| 7 | |\n| 8 | 7, 9 |\n| 9 | 0 |" } ] }, { "id": "19549", "image": "19549.png", "conversations": [ { "from": "human", "question": "How much money does Wanda need to buy a piece of licorice, a gummy worm, and a peppermint candy?\n" }, { "from": "gpt", "solution": "Find the total cost of a piece of licorice, a gummy worm, and a peppermint candy.\n\n$0.02 + $0.04 + $0.01 = $0.07\n\nWanda needs $0.07.", "answer": "0.07", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| sour apple candy | $0.06 |\n| gummy worm | $0.04 |\n| piece of licorice | $0.02 |\n| peppermint candy | $0.01 |" } ] }, { "id": "19551", "image": "19551.png", "conversations": [ { "from": "human", "question": "Each pile has 2 books. How many books are in 5 piles?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 10 books in 5 piles.", "answer": "10", "table": "| Number of piles | Number of books |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | 6 |\n| 4 | 8 |\n| 5 | ? |" } ] }, { "id": "19554", "image": "19554.png", "conversations": [ { "from": "human", "question": "Matt's coach wrote down how many kilometers he had run over the past 6 days. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 4, 5, 8, 6, 1\n\nFirst, count how many numbers are in the group.\n\nThere are 6 numbers.\n\nNow add all the numbers together:\n\n6 + 4 + 5 + 8 + 6 + 1 = 30\n\nNow divide the sum by the number of numbers:\n\n30 ÷ 6 = 5\n\nThe mean is 5.", "answer": "5", "table": "**Kilometers run**\n\n| Day | Kilometers |\n| --- | --- |\n| Friday | 6 |\n| Saturday | 4 |\n| Sunday | 5 |\n| Monday | 8 |\n| Tuesday | 6 |\n| Wednesday | 1 |" } ] }, { "id": "19556", "image": "19556.png", "conversations": [ { "from": "human", "question": "Each train car has 10 passengers. How many passengers are in 5 train cars?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 50 passengers in 5 train cars.", "answer": "50", "table": "| Number of train cars | Number of passengers |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | 40 |\n| 5 | ? |" } ] }, { "id": "19558", "image": "19558.png", "conversations": [ { "from": "human", "question": "Mrs. Barton told students how many rounds to expect in the spelling bee based on previous years. According to the table, what was the rate of change between 2012 and 2013?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{12 rounds - 13 rounds}{2013 - 2012}\n = \\frac{12 rounds - 13 rounds}{1 year}\n = \\frac{-1 rounds}{1 year}\n = -1 rounds per year\nThe rate of change between 2012 and 2013 was - 1 rounds per year.", "answer": "-1", "table": "**Rounds in the spelling bee**\n\n| Year | Rounds |\n| --- | --- |\n| 2012 | 13 |\n| 2013 | 12 |\n| 2014 | 13 |\n| 2015 | 8 |\n| 2016 | 11 |" } ] }, { "id": "19569", "image": "19569.png", "conversations": [ { "from": "human", "question": "In the first episode of a reality show, contestants had to spin two wheels of fate. Spinning the first wheel determined the remote location where contestants would reside for the duration of the season. Spinning the second wheel determined which \"bonus survival tool\" they would be allowed to bring, along with a few other necessary items. What is the probability that a randomly selected participant spun the first wheel and landed on rainforest and spun the second wheel and landed on matches? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the participant spun the first wheel and landed on rainforest\" and B be the event \"the participant spun the second wheel and landed on matches\".\nTo find the probability that a participant spun the first wheel and landed on rainforest and spun the second wheel and landed on matches, first identify the sample space and the event.\nThe outcomes in the sample space are the different participants. Each participant is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the participant spun the first wheel and landed on rainforest and spun the second wheel and landed on matches\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the participant spun the first wheel and landed on rainforest and spun the second wheel and landed on matches\", so look at the table to see how many participants spun the first wheel and landed on rainforest and spun the second wheel and landed on matches.\nThe number of participants who spun the first wheel and landed on rainforest and spun the second wheel and landed on matches is 5.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of participants.\n2 + 5 + 3 + 5 = 15\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{5}{15}\n = \\frac{1}{3}\nThe probability that a participant spun the first wheel and landed on rainforest and spun the second wheel and landed on matches is \\frac{1}{3}.", "answer": "1/3", "table": "| | A tent | Matches |\n| --- | --- | --- |\n| Desert | 2 | 3 |\n| Rainforest | 5 | 5 |" } ] }, { "id": "19582", "image": "19582.png", "conversations": [ { "from": "human", "question": "Caleb has $0.34. Does he have enough to buy a piece of mint chocolate and a butterscotch candy?\n" }, { "from": "gpt", "solution": "Add the price of a piece of mint chocolate and the price of a butterscotch candy:\n\n$0.24 + $0.13 = $0.37\n\n$0.37 is more than $0.34. Caleb does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| piece of gum | $0.17 |\n| piece of mint chocolate | $0.24 |\n| gumball | $0.16 |\n| peanut butter cup | $0.24 |\n| butterscotch candy | $0.13 |" } ] }, { "id": "19583", "image": "19583.png", "conversations": [ { "from": "human", "question": "A tire factory manager monitored the number of tires made each month. How many more tires did the factory make in June than in July?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nJune: 7,572\nJuly: 4,997\n\nNow subtract: 7,572 - 4,997 = 2,575.\n\nThe tire made 2,575 more tires in June.", "answer": "2,575", "table": "**Tires made**\n\n| Month | Number of tires |\n| --- | --- |\n| April | 1,159 |\n| May | 3,412 |\n| June | 7,572 |\n| July | 4,997 |\n| August | 6,013 |" } ] }, { "id": "19588", "image": "19588.png", "conversations": [ { "from": "human", "question": "Sean paid attention to how many flowers he planted in the garden during the past 5 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n22, 39, 29, 35, 33\n\nFirst, find the greatest number. The greatest number is 39.\n\nNext, find the least number. The least number is 22.\n\nSubtract the least number from the greatest number:\n\n39 − 22 = 17\n\nThe range is 17.", "answer": "17", "table": "**Flowers plants**\n\n| Day | Number of flowers |\n| --- | --- |\n| Tuesday | 22 |\n| Wednesday | 39 |\n| Thursday | 29 |\n| Friday | 35 |\n| Saturday | 33 |" } ] }, { "id": "19592", "image": "19592.png", "conversations": [ { "from": "human", "question": "A pet store owner had her staff count the number of fish in each tank. What is the largest number of fish per tank?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 5.\n\nNow find the highest leaf in the last row. The highest leaf is 8.\n\nThe largest number of fish per tank has a stem of 5 and a leaf of 8. Write the stem first, then the leaf: 58.\n\nThe largest number of fish per tank is 58 fish.", "answer": "58", "table": "**Fish per tank**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 1, 2, 7 |\n| 3 | 0, 0, 2, 2, 3, 5, 5, 8, 9 |\n| 4 | 2, 5, 7 |\n| 5 | 6, 6, 6, 7, 8, 8 |" } ] }, { "id": "19594", "image": "19594.png", "conversations": [ { "from": "human", "question": "Katie bought 5 pounds of red confetti and 4 pounds of green confetti. How much did she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the red confetti. Multiply:\n\n$10 × 5 = $50\n\nFind the cost of the green confetti. Multiply:\n\n$11 × 4 = $44\n\nNow find the total cost by adding:\n\n$50 + $44 = $94\n\nShe spent $94.", "answer": "94", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| blue confetti | $11/lb |\n| green confetti | $11/lb |\n| rainbow confetti | $12/lb |\n| gold confetti | $12/lb |\n| red confetti | $10/lb |\n| silver confetti | $11/lb |" } ] }, { "id": "19600", "image": "19600.png", "conversations": [ { "from": "human", "question": "Sarah loves to grow different types of flowers in her garden. She counts the types and records them in a frequency chart. There are 4 times as many carnations as tulips. How many carnations are in her garden?\n" }, { "from": "gpt", "solution": "The frequencies tell you how many of each type of flower are in Sarah's garden. Start by finding how many tulips are in her garden.\nThere are 8 tulips, and there are 4 times as many carnations as tulips. So, multiply.\n8 × 4 = 32\nThere are 32 carnations in her garden.", "answer": "32", "table": "**Flowers**\n\n| Type | Frequency |\n| --- | --- |\n| tulip | 8 |\n| daffodil | 24 |\n| carnation | ? |\n| marigold | 14 |" } ] }, { "id": "19605", "image": "19605.png", "conversations": [ { "from": "human", "question": "Several families compared how many vegetables they ate in a year. Which family ate the fewest vegetables?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 913.\n\nNow find the corresponding family. Pariseau family corresponds to 913.", "answer": "Pariseau family", "table": "**Vegetables eaten in a year**\n\n| Family | Number of vegetables eaten |\n| --- | --- |\n| Fernandez family | 993 |\n| Pariseau family | 913 |\n| Chen family | 919 |\n| Grisham family | 931 |" } ] }, { "id": "19613", "image": "19613.png", "conversations": [ { "from": "human", "question": "The fifth-grade class at Bennett School voted on what they wanted to give the school as a class gift. The teacher recorded their votes in a frequency chart. How many more students voted for a new slide than a park bench?\n" }, { "from": "gpt", "solution": "The frequencies tell you how many students voted for each gift. Start by finding how many students voted for a park bench or a new slide.\n13 students voted for a park bench, and 41 students voted for a new slide. Subtract to find the difference.\n41 − 13 = 28\nSo, 28 more students voted for a new slide.", "answer": "28", "table": "**Votes for class gift**\n\n| Gift | Frequency |\n| --- | --- |\n| park bench | 13 |\n| robotics kit | 15 |\n| library reading nook | 27 |\n| new slide | 41 |" } ] }, { "id": "19618", "image": "19618.png", "conversations": [ { "from": "human", "question": "A reporter counted the number of masks local artists made for this year's masquerade ball. How many artists made exactly 1 mask?\n" }, { "from": "gpt", "solution": "Find the row for 1 mask and read the frequency. The frequency is 6.\n\n6 artists made exactly1 mask.", "answer": "6", "table": "**Making paper masks**\n\n| Masks made | Frequency |\n| --- | --- |\n| 1 | 6 |\n| 2 | 11 |\n| 3 | 19 |\n| 4 | 12 |\n| 5 | 8 |\n| 6 | 1 |" } ] }, { "id": "19622", "image": "19622.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $240, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $240, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $160 | 19,800 | 7,300 |\n| $240 | 15,500 | 8,400 |\n| $320 | 11,200 | 9,500 |\n| $400 | 6,900 | 10,600 |\n| $480 | 2,600 | 11,700 |" } ] }, { "id": "19626", "image": "19626.png", "conversations": [ { "from": "human", "question": "What is the total cost for 5 kilograms of 24-mm washers?\n" }, { "from": "gpt", "solution": "Find the cost of the 24-mm washers. Multiply the price per kilogram by the number of kilograms.\n\n$3.12 × 5 = $15.60\n\nThe total cost is $15.60.", "answer": "15.60", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| 39-mm washers | $3.42 per kilogram |\n| 44-mm washers | $4.42 per kilogram |\n| 66-mm washers | $2.57 per kilogram |\n| 78-mm washers | $3.78 per kilogram |\n| 24-mm washers | $3.12 per kilogram |\n| 50-mm washers | $3.37 per kilogram |" } ] }, { "id": "19629", "image": "19629.png", "conversations": [ { "from": "human", "question": "Some friends discussed the sizes of their coin collections. How many more coins does Anita have than Linda?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nAnita: 8,305\nLinda: 7,007\n\nNow subtract: 8,305 - 7,007 = 1,298.\n\nAnita has 1,298 more coins.", "answer": "1,298", "table": "**Coin collections**\n\n| Name | Number of coins |\n| --- | --- |\n| Anita | 8,305 |\n| Darren | 2,377 |\n| Rosanne | 4,070 |\n| Linda | 7,007 |" } ] }, { "id": "19630", "image": "19630.png", "conversations": [ { "from": "human", "question": "Lakewood Elementary School polled its students about their favorite vegetables in order to decide which ones to plant in the new school garden. How many upper elementary students voted for broccoli?\n" }, { "from": "gpt", "solution": "First, find the row for broccoli. Then find the number in the Upper elementary students column.\n\nThis number is 16. 16 upper elementary students voted for broccoli.", "answer": "16", "table": "**Favorite vegetables**\n\n| Vegetable | Upper elementary students | Lower elementary students |\n| --- | --- | --- |\n| Cabbage | 6 | 13 |\n| Broccoli | 16 | 1 |\n| Spinach | 1 | 14 |\n| Onions | 17 | 19 |\n| Cauliflower | 8 | 1 |" } ] }, { "id": "19638", "image": "19638.png", "conversations": [ { "from": "human", "question": "Trudy and her friends recorded their scores while playing a board game. How many people scored more than 8?\n" }, { "from": "gpt", "solution": "Find the rows for 9 and 10. Add the frequencies for these rows.\n\nAdd:\n\n4 + 19 = 23\n\n23 people scored more than 8.", "answer": "23", "table": "**Scores on a board game**\n\n| Score | Frequency |\n| --- | --- |\n| 6 | 7 |\n| 7 | 6 |\n| 8 | 20 |\n| 9 | 4 |\n| 10 | 19 |" } ] }, { "id": "19649", "image": "19649.png", "conversations": [ { "from": "human", "question": "An economics student recorded the amount of per-capita aid that the U.S. gave to various countries during the 1900s. Of the countries shown, which received the least aid per capita in 2000?\n" }, { "from": "gpt", "solution": "Look at the numbers in the 2000 column. Find the least number in this column.\n\nThe least number is $3.00, which is in the Libya row. In 2000, Libya received the least aid per capita.", "answer": "Libya", "table": "**Aid received per capita from the U.S.**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 1990 | 2000 |\n| Pakistan | $10 | $5 |\n| Libya | $5 | $3 |\n| Algeria | $10 | $5 |\n| Afghanistan | $7 | $5 |" } ] }, { "id": "19650", "image": "19650.png", "conversations": [ { "from": "human", "question": "How much money does Jessica need to buy a cat calendar and a coloring book?\n" }, { "from": "gpt", "solution": "Add the price of a cat calendar and the price of a coloring book:\n\n$5.00 + $7.00 = $12.00\n\nJessica needs $12.00.", "answer": "12", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| cookbook | $9.00 |\n| coloring book | $7.00 |\n| cat calendar | $5.00 |\n| dog calendar | $4.00 |\n| map of the world | $6.00 |" } ] }, { "id": "19657", "image": "19657.png", "conversations": [ { "from": "human", "question": "The members of the local garden club tallied the number of plants in each person's garden. How many gardens have at least 20 plants?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 2, 3, 4, 5, 6, 7, and 8.\n\nYou counted 16 leaves, which are blue in the stem-and-leaf plot above. 16 gardens have at least 20 plants.", "answer": "16", "table": "**Plants per garden**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1, 3, 4, 7, 8, 9 |\n| 2 | |\n| 3 | 5 |\n| 4 | 2, 8, 8 |\n| 5 | 4, 5 |\n| 6 | 2, 3, 7, 8 |\n| 7 | 7 |\n| 8 | 1, 2, 3, 6, 7 |" } ] }, { "id": "19658", "image": "19658.png", "conversations": [ { "from": "human", "question": "A mail carrier counted how many pieces of mail he delivered each day. How many pieces of mail in total did the mail carrier deliver on Monday and Tuesday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nMonday: 2,035\nTuesday: 5,852\n\nNow add: 2,035 + 5,852 = 7,887.\n\nThe mail carrier delivered 7,887 pieces of mail on Monday and Tuesday.", "answer": "7,887", "table": "**Pieces of mail delivered**\n\n| Day | Number of pieces of mail |\n| --- | --- |\n| Monday | 2,035 |\n| Tuesday | 5,852 |\n| Wednesday | 3,023 |\n| Thursday | 1,018 |" } ] }, { "id": "19660", "image": "19660.png", "conversations": [ { "from": "human", "question": "As part of a math lab, Cara tracked the number of times her classmates drew a number between 2 and 8. Which number was drawn the most times?\n" }, { "from": "gpt", "solution": "Look at the frequency column. Find the greatest frequency. The greatest frequency is 19, which is in the row for 3. 3 was drawn the most times.", "answer": "3", "table": "**Drawing a card between 2 and 8**\n\n| Number drawn | Frequency |\n| --- | --- |\n| 2 | 9 |\n| 3 | 19 |\n| 4 | 7 |\n| 5 | 10 |\n| 6 | 17 |\n| 7 | 0 |\n| 8 | 12 |" } ] }, { "id": "19683", "image": "19683.png", "conversations": [ { "from": "human", "question": "A restaurant's average food preparation time was tracked from day to day as part of an efficiency improvement program. According to the table, what was the rate of change between Tuesday and Wednesday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{19 minutes - 17 minutes}{1 day}\n = \\frac{2 minutes}{1 day}\n = 2 minutes per day\nThe rate of change between Tuesday and Wednesday was 2 minutes per day.", "answer": "2", "table": "**Average food preparation time**\n\n| Day | Food preparation time (minutes) |\n| --- | --- |\n| Sunday | 27 |\n| Monday | 28 |\n| Tuesday | 17 |\n| Wednesday | 19 |\n| Thursday | 31 |" } ] }, { "id": "19684", "image": "19684.png", "conversations": [ { "from": "human", "question": "Isaiah has $6.00. Does he have enough to buy a ride on the Speedy Coaster and a ride on the Animal Carousel?\n" }, { "from": "gpt", "solution": "Add the price of a ride on the Speedy Coaster and the price of a ride on the Animal Carousel:\n\n$3.05 + $2.79 = $5.84\n\n$5.84 is less than $6.00. Isaiah does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| ride on the Big Drop | $1.46 |\n| ride on the Animal Carousel | $2.79 |\n| ride on the Speedy Coaster | $3.05 |\n| ride on the Swinging Ship | $1.40 |\n| ride on the Dizzy Spinner | $1.99 |" } ] }, { "id": "19688", "image": "19688.png", "conversations": [ { "from": "human", "question": "Some students compared how many pets they have. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 1, 6, 8, 6, 6, 5, 1\n\nFirst, count how many numbers are in the group.\n\nThere are 8 numbers.\n\nNow add all the numbers together:\n\n7 + 1 + 6 + 8 + 6 + 6 + 5 + 1 = 40\n\nNow divide the sum by the number of numbers:\n\n40 ÷ 8 = 5\n\nThe mean is 5.", "answer": "5", "table": "**Pets**\n\n| Name | Number of pets |\n| --- | --- |\n| Savannah | 7 |\n| Layla | 1 |\n| Abby | 6 |\n| Noah | 8 |\n| Emmy | 6 |\n| Malik | 6 |\n| Cara | 5 |\n| Reggie | 1 |" } ] }, { "id": "19689", "image": "19689.png", "conversations": [ { "from": "human", "question": "A real estate agent looked into how many houses were sold in different cities. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n71, 74, 71, 71, 74, 68, 68\n\nFirst, arrange the numbers from least to greatest:\n\n68, 68, 71, 71, 71, 74, 74\n\nNow count how many times each number appears.\n\n68 appears 2 times.\n71 appears 3 times.\n74 appears 2 times.\n\nThe number that appears most often is 71.\n\nThe mode is 71.", "answer": "71", "table": "**House sales**\n\n| City | Number of houses sold |\n| --- | --- |\n| Melville | 71 |\n| Liberty City | 74 |\n| Center City | 71 |\n| New Hamburg | 71 |\n| Parville | 74 |\n| Fremont | 68 |\n| Briggs Corner | 68 |" } ] }, { "id": "19695", "image": "19695.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{9 - 10}{6 - 5}\n = \\frac{-1}{1}\n = -1\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{8 - 10}{7 - 5}\n = \\frac{-2}{2}\n = -1\nThe two rates of change are the same.\n1.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 5 | 10 |\n| 6 | 9 |\n| 7 | 8 |" } ] }, { "id": "19709", "image": "19709.png", "conversations": [ { "from": "human", "question": "Percy has $49.50. Does he have enough to buy a pair of brown pants and a pair of shorts?\n" }, { "from": "gpt", "solution": "Add the price of a pair of brown pants and the price of a pair of shorts:\n\n$19.92 + $27.55 = $47.47\n\n$47.47 is less than $49.50. Percy does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| denim jacket | $17.18 |\n| pair of shorts | $27.55 |\n| pair of brown pants | $19.92 |\n| black jacket | $10.33 |" } ] }, { "id": "19710", "image": "19710.png", "conversations": [ { "from": "human", "question": "Some dealerships compared their vehicle sales. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n72, 71, 74, 76, 75, 75, 80\n\nFirst, find the greatest number. The greatest number is 80.\n\nNext, find the least number. The least number is 71.\n\nSubtract the least number from the greatest number:\n\n80 − 71 = 9\n\nThe range is 9.", "answer": "9", "table": "**Vehicle sales**\n\n| Dealership | Number of vehicles |\n| --- | --- |\n| Cars of Pryor Falls | 72 |\n| Braverton Autos | 71 |\n| Truck Town | 74 |\n| Affordable Cars | 76 |\n| RV City | 75 |\n| Ledbetter Auto Mall | 75 |\n| Thompson Auto Warehouse | 80 |" } ] }, { "id": "19717", "image": "19717.png", "conversations": [ { "from": "human", "question": "How much more does a roll of packaging tape cost than a large yellow envelope?\n" }, { "from": "gpt", "solution": "Subtract the price of a large yellow envelope from the price of a roll of packaging tape.\n\n$0.63 - $0.53 = $0.10\n\nA roll of packaging tape costs $0.10 more than a large yellow envelope.", "answer": "0.10", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| butterfly stamp | $0.30 |\n| tulip stamp | $0.23 |\n| roll of packaging tape | $0.63 |\n| large cardboard box | $0.41 |\n| bird postcard | $0.61 |\n| large yellow envelope | $0.53 |" } ] }, { "id": "19724", "image": "19724.png", "conversations": [ { "from": "human", "question": "Florence, a journalism student, counted the number of pages in several major magazines. What is the smallest number of pages?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 4.\n\nNow find the lowest leaf in the first row. The lowest leaf is 4.\n\nThe smallest number of pages has a stem of 4 and a leaf of 4. Write the stem first, then the leaf: 44.\n\nThe smallest number of pages is 44 pages.", "answer": "44", "table": "**Pages per magazine**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 4, 7 |\n| 5 | 0, 1, 9, 9 |\n| 6 | 1, 4, 5, 7, 8 |\n| 7 | 0, 7 |\n| 8 | 1, 4, 8 |\n| 9 | 0 |" } ] }, { "id": "19732", "image": "19732.png", "conversations": [ { "from": "human", "question": "David went on a bird watching trip and jotted down the number of birds he saw each day. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 6, 3, 8, 8, 8\n\nFirst, count how many numbers are in the group.\n\nThere are 6 numbers.\n\nNow add all the numbers together:\n\n9 + 6 + 3 + 8 + 8 + 8 = 42\n\nNow divide the sum by the number of numbers:\n\n42 ÷ 6 = 7\n\nThe mean is 7.", "answer": "7", "table": "**Number of birds**\n\n| Day | Number of birds |\n| --- | --- |\n| Monday | 9 |\n| Tuesday | 6 |\n| Wednesday | 3 |\n| Thursday | 8 |\n| Friday | 8 |\n| Saturday | 8 |" } ] }, { "id": "19745", "image": "19745.png", "conversations": [ { "from": "human", "question": "The school district compared how many math teachers each high school has. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 7, 9, 9, 7, 4, 5, 9\n\nFirst, find the greatest number. The greatest number is 9.\n\nNext, find the least number. The least number is 4.\n\nSubtract the least number from the greatest number:\n\n9 − 4 = 5\n\nThe range is 5.", "answer": "5", "table": "**Math teachers**\n\n| High school | Number of math teachers |\n| --- | --- |\n| Washington High | 7 |\n| Lincoln High | 7 |\n| Northside High | 9 |\n| Thompson High | 9 |\n| Moore High | 7 |\n| Cedar High | 4 |\n| River High | 5 |\n| Green High | 9 |" } ] }, { "id": "19748", "image": "19748.png", "conversations": [ { "from": "human", "question": "Ezra went on a vacation to an amusement park and counted how many rides he went on each day. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n4, 6, 6, 4, 9, 8, 5\n\nFirst, count how many numbers are in the group.\n\nThere are 7 numbers.\n\nNow add all the numbers together:\n\n4 + 6 + 6 + 4 + 9 + 8 + 5 = 42\n\nNow divide the sum by the number of numbers:\n\n42 ÷ 7 = 6\n\nThe mean is 6.", "answer": "6", "table": "**Amusement park rides**\n\n| Day | Number of rides |\n| --- | --- |\n| Monday | 4 |\n| Tuesday | 6 |\n| Wednesday | 6 |\n| Thursday | 4 |\n| Friday | 9 |\n| Saturday | 8 |\n| Sunday | 5 |" } ] }, { "id": "19751", "image": "19751.png", "conversations": [ { "from": "human", "question": "Mr. Griffin, a P.E. teacher, wrote down how much weight each of his students could lift. How many people lifted at least 55 pounds?\n" }, { "from": "gpt", "solution": "Find the row with stem 5. Count all the leaves greater than or equal to 5.\n\nCount all the leaves in the rows with stems 6, 7, 8, and 9.\n\nYou counted 8 leaves, which are blue in the stem-and-leaf plots above. 8 people lifted at least 55 pounds.", "answer": "8", "table": "**Weight lifting results (lbs)**\n\n| Stem | Leaf |\n| --- | --- |\n| 5 | 7 |\n| 6 | |\n| 7 | |\n| 8 | 0, 1, 1, 3, 5 |\n| 9 | 0, 0 |" } ] }, { "id": "19757", "image": "19757.png", "conversations": [ { "from": "human", "question": "An Idaho farmer has been monitoring crop prices over time. In 2003, did apples or Timothy seed cost more per cwt?\n" }, { "from": "gpt", "solution": "Find the 2003 column. Compare the numbers in this column for apples and Timothy seed.\n\n$20.00 is more than $9.00. In 2003, apples cost more per cwt.", "answer": "apples", "table": "**Idaho crop prices per cwt**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Crop | 2003 | 2004 |\n| Apples | $20 | $12 |\n| Potatoes | $4 | $4 |\n| Timothy seed | $9 | $7 |" } ] }, { "id": "19760", "image": "19760.png", "conversations": [ { "from": "human", "question": "Sean has $5.00. Does he have enough to buy a pumpkin key chain and an alligator key chain?\n" }, { "from": "gpt", "solution": "Add the price of a pumpkin key chain and the price of an alligator key chain:\n\n$2.53 + $2.43 = $4.96\n\n$4.96 is less than $5.00. Sean does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| alligator key chain | $2.43 |\n| soccer ball key chain | $2.83 |\n| pumpkin key chain | $2.53 |\n| baseball bat key chain | $2.23 |\n| tennis ball key chain | $2.85 |\n| basketball key chain | $1.76 |" } ] }, { "id": "19763", "image": "19763.png", "conversations": [ { "from": "human", "question": "While compiling photos for an album, Ken noted the number of photographs taken by each of his friends and family. How many people took fewer than 2 photographs?\n" }, { "from": "gpt", "solution": "Find the rows for 0 and 1 photograph. Add the frequencies for these rows.\n\nAdd:\n\n1 + 4 = 5\n\n5 people took fewer than 2 photographs.", "answer": "5", "table": "**Taking photographs**\n\n| Photographs taken | Frequency |\n| --- | --- |\n| 0 | 1 |\n| 1 | 4 |\n| 2 | 6 |\n| 3 | 3 |\n| 4 | 16 |" } ] }, { "id": "19767", "image": "19767.png", "conversations": [ { "from": "human", "question": "The transportation company tracked the number of train tickets sold in the past 7 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n96, 96, 93, 99, 91, 93, 100\n\nFirst, find the greatest number. The greatest number is 100.\n\nNext, find the least number. The least number is 91.\n\nSubtract the least number from the greatest number:\n\n100 − 91 = 9\n\nThe range is 9.", "answer": "9", "table": "**Train tickets sold**\n\n| Day | Number of tickets |\n| --- | --- |\n| Wednesday | 96 |\n| Thursday | 96 |\n| Friday | 93 |\n| Saturday | 99 |\n| Sunday | 91 |\n| Monday | 93 |\n| Tuesday | 100 |" } ] }, { "id": "19769", "image": "19769.png", "conversations": [ { "from": "human", "question": "Maria graphed the daily low temperature for 4 days. Which day had the lowest temperature?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 12.\n\nNow find the corresponding day. Wednesday corresponds to 12.", "answer": "Wednesday", "table": "**Daily low temperature**\n\n| Day | Temperature (°C) |\n| --- | --- |\n| Monday | 15 |\n| Tuesday | 18 |\n| Wednesday | 12 |\n| Thursday | 16 |" } ] }, { "id": "19772", "image": "19772.png", "conversations": [ { "from": "human", "question": "Kinsley just returned from a spring break volunteer trip. She is shopping for a photo album that will showcase her photos from the trip. The albums range in photo capacity and orientation. What is the probability that a randomly selected photo album is oriented vertically and holds exactly 100 photos? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the photo album is oriented vertically\" and B be the event \"the photo album holds exactly100 photos\".\nTo find the probability that a photo album is oriented vertically and holds exactly100 photos, first identify the sample space and the event.\nThe outcomes in the sample space are the different photo albums. Each photo album is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the photo album is oriented vertically and holds exactly100 photos\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the photo album is oriented vertically and holds exactly100 photos\", so look at the table to see how many photo albums are oriented vertically and hold exactly100 photos.\nThe number of photo albums that are oriented vertically and hold exactly100 photos is 4.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of photo albums.\n3 + 1 + 3 + 4 = 11\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{4}{11}\nThe probability that a photo album is oriented vertically and holds exactly100 photos is \\frac{4}{11}.", "answer": "4/11", "table": "| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| | 50 photos | 100 photos |\n| Horizontally | 3 | 3 |\n| Vertically | 1 | 4 |" } ] }, { "id": "19777", "image": "19777.png", "conversations": [ { "from": "human", "question": "Some farmers compared how many sheep were in their flocks. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n30, 25, 30, 27, 25, 25\n\nFirst, arrange the numbers from least to greatest:\n\n25, 25, 25, 27, 30, 30\n\nNow count how many times each number appears.\n\n25 appears 3 times.\n27 appears 1 time.\n30 appears 2 times.\n\nThe number that appears most often is 25.\n\nThe mode is 25.", "answer": "25", "table": "**Sheep owned**\n\n| Farmer | Number of sheep |\n| --- | --- |\n| Farmer Jo | 30 |\n| Farmer Dave | 25 |\n| Farmer Wendy | 30 |\n| Farmer Meghan | 27 |\n| Farmer Dan | 25 |\n| Farmer Walt | 25 |" } ] }, { "id": "19778", "image": "19778.png", "conversations": [ { "from": "human", "question": "Clare's family went on a road trip and counted the number of cars they saw each day. On which day did they see the most cars?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 19.\n\nNow find the corresponding day. Wednesday corresponds to 19.", "answer": "Wednesday", "table": "**Number of cars**\n\n| Day | Number of cars |\n| --- | --- |\n| Sunday | 15 |\n| Monday | 16 |\n| Tuesday | 18 |\n| Wednesday | 19 |" } ] }, { "id": "19789", "image": "19789.png", "conversations": [ { "from": "human", "question": "Aubrey went to the store and bought 2.3 pounds of dark chocolate. How much did she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the dark chocolate. Multiply the price per pound by the number of pounds.\n$7 × 2.3 = $16.10\nShe spent $16.10.", "answer": "16.10", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| dark chocolate | $7 per lb |\n| milk chocolate | $6 per lb |\n| white chocolate | $4 per lb |\n| orange chocolate | $5 per lb |\n| semisweet chocolate | $4 per lb |" } ] }, { "id": "19790", "image": "19790.png", "conversations": [ { "from": "human", "question": "A pretzel stand owner kept track of the number of pretzels sold during the past 5 days. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n98, 98, 97, 97, 98\n\nFirst, arrange the numbers from least to greatest:\n\n97, 97, 98, 98, 98\n\nNow count how many times each number appears.\n\n97 appears 2 times.\n98 appears 3 times.\n\nThe number that appears most often is 98.\n\nThe mode is 98.", "answer": "98", "table": "**Pretzels sold**\n\n| Day | Number of pretzels |\n| --- | --- |\n| Sunday | 98 |\n| Monday | 98 |\n| Tuesday | 97 |\n| Wednesday | 97 |\n| Thursday | 98 |" } ] }, { "id": "19794", "image": "19794.png", "conversations": [ { "from": "human", "question": "How much money does Joel need to buy a red sweater and a pair of shoes?\n" }, { "from": "gpt", "solution": "Add the price of a red sweater and the price of a pair of shoes:\n\n$16.00 + $22.00 = $38.00\n\nJoel needs $38.00.", "answer": "38", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pair of shoes | $22.00 |\n| red sweater | $16.00 |\n| gray sweatshirt | $11.00 |\n| blue sweater | $22.00 |" } ] }, { "id": "19798", "image": "19798.png", "conversations": [ { "from": "human", "question": "Ms. Sherman reported her students' scores on the most recent quiz. How many students scored fewer than 58 points?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 2, 3, and 4.\n\nIn the row with stem 5, count all the leaves less than 8.\n\nYou counted 12 leaves, which are blue in the stem-and-leaf plots above. 12 students scored fewer than 58 points.", "answer": "12", "table": "**Quiz scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 0, 2, 6, 9 |\n| 3 | 4, 5, 7, 7, 8 |\n| 4 | 1, 9 |\n| 5 | 1, 8, 8 |" } ] }, { "id": "19801", "image": "19801.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $260, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $260, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $260 | 19,300 | 3,100 |\n| $320 | 16,000 | 7,100 |\n| $380 | 12,700 | 11,100 |\n| $440 | 9,400 | 15,100 |\n| $500 | 6,100 | 19,100 |" } ] }, { "id": "19808", "image": "19808.png", "conversations": [ { "from": "human", "question": "How much more does a long-sleeved shirt cost than a pair of white socks?\n" }, { "from": "gpt", "solution": "Subtract the price of a pair of white socks from the price of a long-sleeved shirt.\n\n$8.00 - $4.00 = $4.00\n\nA long-sleeved shirt costs $4.00 more than a pair of white socks.", "answer": "4", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pair of jeans | $8.00 |\n| pair of white socks | $4.00 |\n| denim skirt | $9.00 |\n| pink sweater | $5.00 |\n| yellow skirt | $4.00 |\n| long-sleeved shirt | $8.00 |" } ] }, { "id": "19810", "image": "19810.png", "conversations": [ { "from": "human", "question": "Michael, a journalism student, counted the number of pages in several major magazines. What is the smallest number of pages?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 2.\n\nNow find the lowest leaf in the first row. The lowest leaf is 3.\n\nThe smallest number of pages has a stem of 2 and a leaf of 3. Write the stem first, then the leaf: 23.\n\nThe smallest number of pages is 23 pages.", "answer": "23", "table": "**Pages per magazine**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 3, 3 |\n| 3 | 3, 9, 9 |\n| 4 | 5 |\n| 5 | |\n| 6 | 0, 6, 6, 8 |" } ] }, { "id": "19819", "image": "19819.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $845, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $845, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $565 | 19,000 | 5,600 |\n| $635 | 16,900 | 7,800 |\n| $705 | 14,800 | 10,000 |\n| $775 | 12,700 | 12,200 |\n| $845 | 10,600 | 14,400 |" } ] }, { "id": "19822", "image": "19822.png", "conversations": [ { "from": "human", "question": "A baker wrote down how many pies she made in the past 7 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n10, 6, 8, 0, 3, 8, 7\n\nFirst, find the greatest number. The greatest number is 10.\n\nNext, find the least number. The least number is 0.\n\nSubtract the least number from the greatest number:\n\n10 − 0 = 10\n\nThe range is 10.", "answer": "10", "table": "**Pies baked**\n\n| Day | Number of pies |\n| --- | --- |\n| Tuesday | 10 |\n| Wednesday | 6 |\n| Thursday | 8 |\n| Friday | 0 |\n| Saturday | 3 |\n| Sunday | 8 |\n| Monday | 7 |" } ] }, { "id": "19824", "image": "19824.png", "conversations": [ { "from": "human", "question": "Dean has $67.70. How much money will Dean have left if he buys a model airplane and a stuffed animal?\n" }, { "from": "gpt", "solution": "Find the total cost of a model airplane and a stuffed animal.\n\n$28.32 + $13.01 = $41.33\n\nNow subtract the total cost from the starting amount.\n\n$67.70 - $41.33 = $26.37\n\nDean will have $26.37 left.", "answer": "26.37", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| model airplane | $28.32 |\n| stuffed animal | $13.01 |\n| video game | $52.39 |\n| red wagon | $17.63 |" } ] }, { "id": "19829", "image": "19829.png", "conversations": [ { "from": "human", "question": "While hanging Christmas lights for neighbors, Xavier counted the number of broken lights on each string. How many strings had at least 40 broken lights but less than 80 broken lights?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 4, 5, 6, and 7.\n\nYou counted 17 leaves, which are blue in the stem-and-leaf plot above. 17 strings had at least 40 broken lights but less than 80 broken lights.", "answer": "17", "table": "**Broken lights per string**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 2, 3 |\n| 5 | 1, 6, 8, 8 |\n| 6 | 0, 1, 4, 6, 6, 7, 8 |\n| 7 | 0, 4, 5, 6 |" } ] }, { "id": "19833", "image": "19833.png", "conversations": [ { "from": "human", "question": "Each platter has 5 sandwiches. How many sandwiches are on 3 platters?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 15 sandwiches on 3 platters.", "answer": "15", "table": "| Number of platters | Number of sandwiches |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | ? |" } ] }, { "id": "19834", "image": "19834.png", "conversations": [ { "from": "human", "question": "Camilla looked at the dates of the digital photos on her computer to find out how many she had taken in the past 5 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n5, 3, 4, 5, 8\n\nFirst, arrange the numbers from least to greatest:\n\n3, 4, 5, 5, 8\n\nNow find the number in the middle.\n\n3, 4, 5, 5, 8\n\nThe number in the middle is 5.\n\nThe median is 5.", "answer": "5", "table": "**Photographs taken**\n\n| Day | Number of photographs |\n| --- | --- |\n| Friday | 5 |\n| Saturday | 3 |\n| Sunday | 4 |\n| Monday | 5 |\n| Tuesday | 8 |" } ] }, { "id": "19835", "image": "19835.png", "conversations": [ { "from": "human", "question": "How much money does Rhianna need to buy a can of fruit cocktail and a jar of pickles?\n" }, { "from": "gpt", "solution": "Add the price of a can of fruit cocktail and the price of a jar of pickles:\n\n$2.23 + $1.55 = $3.78\n\nRhianna needs $3.78.", "answer": "3.78", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| jar of olives | $3.08 |\n| can of mushrooms | $1.37 |\n| jar of pickles | $1.55 |\n| can of fruit cocktail | $2.23 |" } ] }, { "id": "19840", "image": "19840.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{10 - 17}{5 - 4}\n = \\frac{-7}{1}\n = -7\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{3 - 17}{6 - 4}\n = \\frac{-14}{2}\n = -7\nThe two rates of change are the same.\n7.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 4 | 17 |\n| 5 | 10 |\n| 6 | 3 |" } ] }, { "id": "19841", "image": "19841.png", "conversations": [ { "from": "human", "question": "A pizza chef recalled how many pizzas he had made during the past 4 days. On which day did the chef make the fewest pizzas?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 50.\n\nNow find the corresponding day. Saturday corresponds to 50.", "answer": "Saturday", "table": "**Pizzas made**\n\n| Day | Number of pizzas |\n| --- | --- |\n| Friday | 52 |\n| Saturday | 50 |\n| Sunday | 59 |\n| Monday | 58 |" } ] }, { "id": "19848", "image": "19848.png", "conversations": [ { "from": "human", "question": "Bernard has $0.10. Does he have enough to buy a lemon drop and a sour apple candy?\n" }, { "from": "gpt", "solution": "Add the price of a lemon drop and the price of a sour apple candy:\n\n$0.03 + $0.07 = $0.10\n\nSince Bernard has $0.10, he has just enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| sour apple candy | $0.07 |\n| lemon drop | $0.03 |\n| gum drop | $0.01 |\n| gummy bear | $0.05 |\n| cinnamon candy | $0.05 |" } ] }, { "id": "19851", "image": "19851.png", "conversations": [ { "from": "human", "question": "Jayce, who just won the election for student body president at Dayton Middle School, tallied how many votes he received from each grade. What fraction of his votes were from the sixth grade? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many of his votes came from the sixth grade.\n\n930\n\nFind how many students voted for him in total.\n\n930 + 200 + 420 = 1,550\n\nDivide 930 by1,550.\n\n\\frac{930}{1,550}\n\nReduce the fraction.\n\n\\frac{930}{1,550} → \\frac{3}{5}\n\n\\frac{3}{5} of of his votes came from the sixth grade.", "answer": "3/5", "table": "**Vote breakdown**\n\n| Grade | Number of votes |\n| --- | --- |\n| Sixth grade | 930 |\n| Seventh grade | 200 |\n| Eighth grade | 420 |" } ] }, { "id": "19853", "image": "19853.png", "conversations": [ { "from": "human", "question": "Professor Henson informed his students of their scores on the midterm exam. How many students scored at least 70 points?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 7 and 8.\n\nYou counted 5 leaves, which are blue in the stem-and-leaf plot above. 5 students scored at least 70 points.", "answer": "5", "table": "**Midterm exam scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 0, 2, 2, 6, 7, 7, 8, 9 |\n| 5 | 7, 8 |\n| 6 | 2, 6 |\n| 7 | 1, 6 |\n| 8 | 0, 2, 8 |" } ] }, { "id": "19854", "image": "19854.png", "conversations": [ { "from": "human", "question": "Carrie has $0.65. Does she have enough to buy a white note card and a sheet of green paper?\n" }, { "from": "gpt", "solution": "Add the price of a white note card and the price of a sheet of green paper:\n\n$0.15 + $0.48 = $0.63\n\n$0.63 is less than $0.65. Carrie does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| sheet of green paper | $0.48 |\n| piece of pink paper | $0.26 |\n| white note card | $0.15 |\n| piece of red and purple stationery | $0.56 |" } ] }, { "id": "19857", "image": "19857.png", "conversations": [ { "from": "human", "question": "The parks department compared how many basketball hoops there are at each park. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n4, 6, 5, 6, 16, 6, 18\n\nFirst, find the greatest number. The greatest number is 18.\n\nNext, find the least number. The least number is 4.\n\nSubtract the least number from the greatest number:\n\n18 − 4 = 14\n\nThe range is 14.", "answer": "14", "table": "**Basketball hoops**\n\n| Park | Number of basketball hoops |\n| --- | --- |\n| Otter Park | 4 |\n| Westfield Park | 6 |\n| Crestview Park | 5 |\n| Pinehurst Park | 6 |\n| Kelly Park | 16 |\n| Riverfront Park | 6 |\n| Mooreland Park | 18 |" } ] }, { "id": "19861", "image": "19861.png", "conversations": [ { "from": "human", "question": "Mitchell recalled how many goals he had made in soccer practice each day. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n5, 0, 3, 8, 4, 10, 9\n\nFirst, arrange the numbers from least to greatest:\n\n0, 3, 4, 5, 8, 9, 10\n\nNow find the number in the middle.\n\n0, 3, 4, 5, 8, 9, 10\n\nThe number in the middle is 5.\n\nThe median is 5.", "answer": "5", "table": "**Goals made**\n\n| Day | Number of goals |\n| --- | --- |\n| Sunday | 5 |\n| Monday | 0 |\n| Tuesday | 3 |\n| Wednesday | 8 |\n| Thursday | 4 |\n| Friday | 10 |\n| Saturday | 9 |" } ] }, { "id": "19870", "image": "19870.png", "conversations": [ { "from": "human", "question": "A farmer recalled how many watermelons were harvested in the past 4 days. On which day were the fewest watermelons harvested?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 40.\n\nNow find the corresponding day. Thursday corresponds to 40.", "answer": "Thursday", "table": "**Watermelons harvested**\n\n| Day | Number of watermelons |\n| --- | --- |\n| Thursday | 40 |\n| Friday | 49 |\n| Saturday | 42 |\n| Sunday | 46 |" } ] }, { "id": "19876", "image": "19876.png", "conversations": [ { "from": "human", "question": "How much money does Vicky need to buy lasagna and spaghetti and meatballs?\n" }, { "from": "gpt", "solution": "Add the price of lasagna and the price of spaghetti and meatballs:\n\n$12.68 + $11.21 = $23.89\n\nVicky needs $23.89.", "answer": "23.89", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| spaghetti and meatballs | $11.21 |\n| pasta with tomato sauce | $10.54 |\n| pepperoni pizza | $14.03 |\n| lasagna | $12.68 |\n| eggplant parmesan | $16.04 |" } ] }, { "id": "19891", "image": "19891.png", "conversations": [ { "from": "human", "question": "A city recorded how many people rode the subway each day. On which day did the fewest people ride the subway?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 111.\n\nNow find the corresponding day. Monday corresponds to 111.", "answer": "Monday", "table": "**Subway riders**\n\n| Day | Number of riders |\n| --- | --- |\n| Monday | 111 |\n| Tuesday | 139 |\n| Wednesday | 131 |\n| Thursday | 193 |" } ] }, { "id": "19905", "image": "19905.png", "conversations": [ { "from": "human", "question": "Diego is the proud owner of an eclectic bow tie collection. He keeps track of how many bow ties he has, and organizes them by pattern and material. What is the probability that a randomly selected bow tie is made of velvet and is designed with zigzags? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the bow tie is made of velvet\" and B be the event \"the bow tie is designed with zigzags\".\nTo find the probability that a bow tie is made of velvet and is designed with zigzags, first identify the sample space and the event.\nThe outcomes in the sample space are the different bow ties. Each bow tie is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the bow tie is made of velvet and is designed with zigzags\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the bow tie is made of velvet and is designed with zigzags\", so look at the table to see how many bow ties are made of velvet and are designed with zigzags.\nThe number of bow ties that are made of velvet and are designed with zigzags is 3.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of bow ties.\n3 + 4 + 5 + 3 = 15\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{3}{15}\n = \\frac{1}{5}\nThe probability that a bow tie is made of velvet and is designed with zigzags is \\frac{1}{5}.", "answer": "1/5", "table": "| | Zigzags | Swirls |\n| --- | --- | --- |\n| Velvet | 3 | 5 |\n| Cotton | 4 | 3 |" } ] }, { "id": "19908", "image": "19908.png", "conversations": [ { "from": "human", "question": "It's the first day of school, and Mr. Wiley wants to get to know his students. He asks each student for his or her favorite color and records their answers in a frequency chart. Which color is the most popular?\n" }, { "from": "gpt", "solution": "The greatest number in the frequency chart is 6.\nSo, blue is the most popular color.", "answer": "blue", "table": "**Favorite colors**\n\n| Color | Frequency |\n| --- | --- |\n| red | 5 |\n| orange | 2 |\n| yellow | 3 |\n| green | 5 |\n| blue | 6 |\n| purple | 3 |" } ] }, { "id": "19910", "image": "19910.png", "conversations": [ { "from": "human", "question": "Some scooter companies compared how many scooters they sold. Which company sold the most scooters?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 88.\n\nNow find the corresponding company. Scooter City corresponds to 88.", "answer": "Scooter City", "table": "**Scooters sold**\n\n| Company | Number of scooters sold |\n| --- | --- |\n| Rocket Scooters | 86 |\n| Let's Jet Scooters | 82 |\n| Go-Go Scooters | 84 |\n| Scooter City | 88 |" } ] }, { "id": "19911", "image": "19911.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{12 - 18}{5 - 4}\n = \\frac{-6}{1}\n = -6\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{6 - 18}{6 - 4}\n = \\frac{-12}{2}\n = -6\nThe two rates of change are the same.\n6.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 4 | 18 |\n| 5 | 12 |\n| 6 | 6 |" } ] }, { "id": "19916", "image": "19916.png", "conversations": [ { "from": "human", "question": "Look at Kailee's pay stub. Kailee lives in a state that has state income tax. How much payroll tax did Kailee pay in total?\n" }, { "from": "gpt", "solution": "To find the total payroll tax, add the federal income tax, state income tax, and other taxes.\nThe federal income tax is $69.92. The state income tax is $38.74. The other taxes are $49.70. Add.\n$69.92 + $38.74 + $49.70 = $158.36\nKailee paid a total of $158.36 in payroll tax.", "answer": "158.36", "table": "| Employee | Pay period | |\n| --- | --- | --- |\n| Kailee Hammond | December 1-15 | |\n| Total earnings | | $650.00 |\n| Federal income tax | $69.92 | |\n| State income tax | $38.74 | |\n| Other taxes | $49.70 | |\n| Total taxes | | ? |\n| Pay after taxes | | ? |" } ] }, { "id": "19920", "image": "19920.png", "conversations": [ { "from": "human", "question": "An archer recalled how many times he hit the bull's-eye in the past 5 days. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n2, 2, 4, 2, 4\n\nFirst, arrange the numbers from least to greatest:\n\n2, 2, 2, 4, 4\n\nNow count how many times each number appears.\n\n2 appears 3 times.\n4 appears 2 times.\n\nThe number that appears most often is 2.\n\nThe mode is 2.", "answer": "2", "table": "**Bull's-eyes**\n\n| Day | Number of bull's-eyes |\n| --- | --- |\n| Tuesday | 2 |\n| Wednesday | 2 |\n| Thursday | 4 |\n| Friday | 2 |\n| Saturday | 4 |" } ] }, { "id": "19921", "image": "19921.png", "conversations": [ { "from": "human", "question": "The parks department compared how many soccer fields there are at each park. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n4, 9, 8, 8, 9, 4, 9\n\nFirst, arrange the numbers from least to greatest:\n\n4, 4, 8, 8, 9, 9, 9\n\nNow count how many times each number appears.\n\n4 appears 2 times.\n8 appears 2 times.\n9 appears 3 times.\n\nThe number that appears most often is 9.\n\nThe mode is 9.", "answer": "9", "table": "**Soccer fields**\n\n| Park | Number of soccer fields |\n| --- | --- |\n| Canyon Park | 4 |\n| Middle Park | 9 |\n| Lighthouse Park | 8 |\n| Crane Park | 8 |\n| Elmhurst Park | 9 |\n| Moon Park | 4 |\n| Madison Park | 9 |" } ] }, { "id": "19927", "image": "19927.png", "conversations": [ { "from": "human", "question": "Some friends played a trivia game and recorded their scores. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n8, 3, 7, 4, 2, 5, 3, 5\n\nFirst, find the greatest number. The greatest number is 8.\n\nNext, find the least number. The least number is 2.\n\nSubtract the least number from the greatest number:\n\n8 − 2 = 6\n\nThe range is 6.", "answer": "6", "table": "**Trivia game scores**\n\n| Name | Score |\n| --- | --- |\n| Whitney | 8 |\n| Oscar | 3 |\n| Caden | 7 |\n| Sasha | 4 |\n| Zachary | 2 |\n| Quinn | 5 |\n| Emir | 3 |\n| Aiden | 5 |" } ] }, { "id": "19936", "image": "19936.png", "conversations": [ { "from": "human", "question": "The advertising agency counted the number of billboards in each city in the state. How many cities have exactly 53 billboards?\n" }, { "from": "gpt", "solution": "For the number 53, the stem is 5, and the leaf is 3. Find the row where the stem is 5. In that row, count all the leaves equal to 3.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 cities have exactly 53 billboards.", "answer": "2", "table": "**Billboards per city**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 4 |\n| 4 | 8 |\n| 5 | 1, 3, 3 |\n| 6 | |\n| 7 | 0 |\n| 8 | |\n| 9 | 0, 0 |" } ] }, { "id": "19949", "image": "19949.png", "conversations": [ { "from": "human", "question": "Each roof has 5 seagulls. How many seagulls are on 3 roofs?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 15 seagulls on 3 roofs.", "answer": "15", "table": "| Number of roofs | Number of seagulls |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | ? |" } ] }, { "id": "19956", "image": "19956.png", "conversations": [ { "from": "human", "question": "A pencil company revealed how many pencils it sold in the past 4 months. How many pencils in total did the company sell in October and December?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nOctober: 7,981\nDecember: 4,803\n\nNow add: 7,981 + 4,803 = 12,784.\n\nThe company sold 12,784 pencils in October and December.", "answer": "12,784", "table": "**Pencils sold**\n\n| Month | Number of pencils |\n| --- | --- |\n| September | 8,781 |\n| October | 7,981 |\n| November | 7,325 |\n| December | 4,803 |" } ] }, { "id": "19957", "image": "19957.png", "conversations": [ { "from": "human", "question": "Zoe has $5. Does she have enough to buy a picture book and a mystery novel?\n" }, { "from": "gpt", "solution": "Add the price of a picture book and the price of a mystery novel:\n\n$3 + $2 = $5\n\nSince Zoe has $5, she has just enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| math book | $7 |\n| spelling workbook | $9 |\n| mystery novel | $2 |\n| picture book | $3 |" } ] }, { "id": "19963", "image": "19963.png", "conversations": [ { "from": "human", "question": "The board of commerce recorded how many employees work at each company. Which company has the most employees?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 782.\n\nNow find the corresponding company. Future Computers corresponds to 782.", "answer": "Future Computers", "table": "**Company sizes**\n\n| Company | Number of employees |\n| --- | --- |\n| Madison Corporation | 771 |\n| Bronson Attorneys | 729 |\n| Future Computers | 782 |\n| ABC Electronics | 728 |" } ] }, { "id": "19967", "image": "19967.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $545, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $545, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $345 | 14,400 | 1,100 |\n| $395 | 13,200 | 4,300 |\n| $445 | 12,000 | 7,500 |\n| $495 | 10,800 | 10,700 |\n| $545 | 9,600 | 13,900 |" } ] }, { "id": "19968", "image": "19968.png", "conversations": [ { "from": "human", "question": "How much money does Adriana need to buy 9 black skirts?\n" }, { "from": "gpt", "solution": "Find the total cost of 9 black skirts by multiplying 9 times the price of a black skirt.\n\n$11.00 × 9 = $99.00\n\nAdriana needs $99.00.", "answer": "99", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| black skirt | $11.00 |\n| pair of sandals | $13.00 |\n| red sweater | $29.00 |\n| denim skirt | $13.00 |\n| pair of tennis shoes | $36.00 |\n| pair of sweat pants | $15.00 |" } ] }, { "id": "19977", "image": "19977.png", "conversations": [ { "from": "human", "question": "The parks department compared how many basketball hoops there are at each park. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 8, 8, 9, 8, 9, 2, 9\n\nFirst, arrange the numbers from least to greatest:\n\n2, 8, 8, 8, 9, 9, 9, 9\n\nNow count how many times each number appears.\n\n2 appears 1 time.\n8 appears 3 times.\n9 appears 4 times.\n\nThe number that appears most often is 9.\n\nThe mode is 9.", "answer": "9", "table": "**Basketball hoops**\n\n| Park | Number of basketball hoops |\n| --- | --- |\n| Palm Park | 9 |\n| Mooreland Park | 8 |\n| Crestview Park | 8 |\n| Riverfront Park | 9 |\n| Westfield Park | 8 |\n| Linden Park | 9 |\n| Heron Park | 2 |\n| Otter Park | 9 |" } ] }, { "id": "19979", "image": "19979.png", "conversations": [ { "from": "human", "question": "Paula, a doctor's office receptionist, tracked the average waiting time at the office each month. According to the table, what was the rate of change between October and November?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{13 minutes - 10 minutes}{1 month}\n = \\frac{3 minutes}{1 month}\n = 3 minutes per month\nThe rate of change between October and November was 3 minutes per month.", "answer": "3", "table": "**Average waiting time at a doctor's office**\n\n| Month | Waiting time (minutes) |\n| --- | --- |\n| August | 19 |\n| September | 15 |\n| October | 10 |\n| November | 13 |\n| December | 17 |" } ] }, { "id": "19981", "image": "19981.png", "conversations": [ { "from": "human", "question": "Joey owns four dogs and monitors how much food they eat in a month. What fraction of the food was eaten by Puddles? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many kilograms of food were eaten by Puddles.\n\n9\n\nFind how many kilograms of food the dogs ate in total.\n\n34 + 9 + 25 + 44 = 112\n\nDivide 9 by112.\n\n\\frac{9}{112}\n\n\\frac{9}{112} of kilograms of food were eaten by Puddles.", "answer": "9/112", "table": "**Dog food consumption**\n\n| Dog | Kilograms of food |\n| --- | --- |\n| Cuddles | 34 |\n| Puddles | 9 |\n| Peanut | 25 |\n| Pumpkin | 44 |" } ] }, { "id": "19982", "image": "19982.png", "conversations": [ { "from": "human", "question": "Kinsley tracked how many laps she ran in the past 7 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n67, 58, 65, 62, 64, 60, 72\n\nFirst, arrange the numbers from least to greatest:\n\n58, 60, 62, 64, 65, 67, 72\n\nNow find the number in the middle.\n\n58, 60, 62, 64, 65, 67, 72\n\nThe number in the middle is 64.\n\nThe median is 64.", "answer": "64", "table": "**Laps ran**\n\n| Day | Number of laps |\n| --- | --- |\n| Friday | 67 |\n| Saturday | 58 |\n| Sunday | 65 |\n| Monday | 62 |\n| Tuesday | 64 |\n| Wednesday | 60 |\n| Thursday | 72 |" } ] }, { "id": "19991", "image": "19991.png", "conversations": [ { "from": "human", "question": "In hopes of raising more funds for arts education, some parents in the Kensington School District publicized the current per-student arts education budget. According to the table, what was the rate of change between 2006 and 2007?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{$42 - $36}{2007 - 2006}\n = \\frac{$42 - $36}{1 year}\n = \\frac{$6}{1 year}\n = $6 per year\nThe rate of change between 2006 and 2007 was $6 per year.", "answer": "6", "table": "**Kensington arts education budget**\n\n| Year | Per-student budget |\n| --- | --- |\n| 2006 | $36 |\n| 2007 | $42 |\n| 2008 | $45 |\n| 2009 | $26 |\n| 2010 | $39 |" } ] }, { "id": "19992", "image": "19992.png", "conversations": [ { "from": "human", "question": "Matthew, who rents properties for a living, measures all the offices in a building he is renting. How many offices are at least 60 square meters but less than 90 square meters?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 6, 7, and 8.\n\nYou counted 8 leaves, which are blue in the stem-and-leaf plot above. 8 offices are at least 60 square meters but less than 90 square meters.", "answer": "8", "table": "**Office sizes (square meters)**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 2, 3, 9 |\n| 5 | 1 |\n| 6 | |\n| 7 | 0, 3, 3, 6 |\n| 8 | 0, 1, 6, 7 |\n| 9 | 0 |" } ] }, { "id": "19995", "image": "19995.png", "conversations": [ { "from": "human", "question": "This table shows Naomi's October budget. What could Naomi do to balance her budget?\n" }, { "from": "gpt", "solution": "Step 1: Find how much money Naomi needs to balance her budget.\nFirst, add Naomi's sources of income to find her total income.\n$35 + $20 + $25 = $80\nNext, add Naomi's expenses to find her total expenses.\n$20 + $45 + $30 = $95\nNaomi's expenses are more than her income. Subtract to find the difference.\n$95 - $80 = $15\nThe difference is $15, so Naomi needs an extra $15 to balance her budget.\nStep 2: Find the answer choice that gives Naomi an extra $15.\nNaomi is planning to spend $45 at the book fair. Spending only $30 will give her an extra $15.\nSo, Naomi can balance her budget by spending only $30 at the book fair.", "answer": "spend only $30 at the book fair", "table": "**Naomi's October budget**\n\n| Income | Expenses |\n| --- | --- |\n| Mowing lawns: $35 | School supplies: $20 |\n| Yard work: $20 | Book fair: $45 |\n| Allowance: $25 | Movies: $30 |" } ] }, { "id": "19998", "image": "19998.png", "conversations": [ { "from": "human", "question": "Kurt counted the number of problems on each of his tests. How many tests had exactly 34 problems?\n" }, { "from": "gpt", "solution": "For the number 34, the stem is 3, and the leaf is 4. Find the row where the stem is 3. In that row, count all the leaves equal to 4.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 tests had exactly 34 problems.", "answer": "2", "table": "**Problems per test**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 4, 4 |\n| 4 | |\n| 5 | 4, 9 |\n| 6 | 0 |\n| 7 | |\n| 8 | |\n| 9 | 0 |" } ] }, { "id": "20006", "image": "20006.png", "conversations": [ { "from": "human", "question": "A mail carrier counted how many pieces of mail he delivered each day. On which day did the mail carrier deliver the fewest pieces of mail?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 512.\n\nNow find the corresponding day. Tuesday corresponds to 512.", "answer": "Tuesday", "table": "**Pieces of mail delivered**\n\n| Day | Number of pieces of mail |\n| --- | --- |\n| Friday | 551 |\n| Saturday | 525 |\n| Monday | 521 |\n| Tuesday | 512 |" } ] }, { "id": "20007", "image": "20007.png", "conversations": [ { "from": "human", "question": "Some dealerships compared their vehicle sales. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n25, 17, 22, 25, 25, 17, 22\n\nFirst, arrange the numbers from least to greatest:\n\n17, 17, 22, 22, 25, 25, 25\n\nNow count how many times each number appears.\n\n17 appears 2 times.\n22 appears 2 times.\n25 appears 3 times.\n\nThe number that appears most often is 25.\n\nThe mode is 25.", "answer": "25", "table": "**Vehicle sales**\n\n| Dealership | Number of vehicles |\n| --- | --- |\n| Ledbetter Auto Mall | 25 |\n| Truck City | 17 |\n| Cars of Pryor Falls | 22 |\n| Truck Town | 25 |\n| Affordable Cars | 25 |\n| Clearance Cars | 17 |\n| Ben's Used Cars | 22 |" } ] }, { "id": "20012", "image": "20012.png", "conversations": [ { "from": "human", "question": "Eve counted the number of desks in each classroom at her school. How many classrooms have at least 41 desks?\n" }, { "from": "gpt", "solution": "Find the row with stem 4. Count all the leaves greater than or equal to 1.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 classrooms have at least 41 desks.", "answer": "3", "table": "**Desks per classroom**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1, 6, 7, 8, 9 |\n| 2 | 0, 2, 7 |\n| 3 | 0, 7, 9 |\n| 4 | 2, 4, 9 |" } ] }, { "id": "20019", "image": "20019.png", "conversations": [ { "from": "human", "question": "While looking through an almanac at the library, Zack noticed some data showing the population density of various states. In 2000, which of the states shown had the fewest people per square mile?\n" }, { "from": "gpt", "solution": "Look at the numbers in the 2000 column. Find the least number in this column.\n\nThe least number is 10, which is in the South Dakota row. In 2000, South Dakota had the fewest people per square mile.", "answer": "South Dakota", "table": "**Population per square mile**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| State | 1990 | 2000 |\n| South Dakota | 9 | 10 |\n| Nevada | 10 | 18 |\n| New Mexico | 12 | 15 |" } ] }, { "id": "20020", "image": "20020.png", "conversations": [ { "from": "human", "question": "An airline pilot recorded how many miles she flew each month. How many miles did the pilot fly in all in June and September?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nJune: 7,449\nSeptember: 4,893\n\nNow add: 7,449 + 4,893 = 12,342.\n\nThe pilot flew 12,342 miles in June and September.", "answer": "12,342", "table": "**Miles flown**\n\n| Month | Miles |\n| --- | --- |\n| June | 7,449 |\n| July | 3,826 |\n| August | 8,197 |\n| September | 4,893 |\n| October | 4,483 |" } ] }, { "id": "20025", "image": "20025.png", "conversations": [ { "from": "human", "question": "Anita bought 0.4 pounds of wheat flakes. How much did she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the wheat flakes. Multiply the price per pound by the number of pounds.\n$6 × 0.4 = $2.40\nShe spent $2.40.", "answer": "2.40", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| granola | $5/lb |\n| oatmeal | $3/lb |\n| rice crisps | $4/lb |\n| bran flakes | $5/lb |\n| multi-grain cereal | $5/lb |\n| wheat flakes | $6/lb |" } ] }, { "id": "20026", "image": "20026.png", "conversations": [ { "from": "human", "question": "A math textbook explains probability by showing a set of cards numbered 4 through 9 and showing the number of people who might draw each card. Which number was drawn the fewest times?\n" }, { "from": "gpt", "solution": "Look at the frequency column. Find the least frequency. The least frequency is 0, which is in the row for 4. 4 was drawn the fewest times.", "answer": "4", "table": "**Drawing a card between 4 and 9**\n\n| Number drawn | Frequency |\n| --- | --- |\n| 4 | 0 |\n| 5 | 9 |\n| 6 | 13 |\n| 7 | 15 |\n| 8 | 20 |\n| 9 | 3 |" } ] }, { "id": "20027", "image": "20027.png", "conversations": [ { "from": "human", "question": "How much would it cost to buy 3/4 of a pound of crab meat?\n" }, { "from": "gpt", "solution": "Find the cost of the crab meat. Multiply the price per pound by the number of pounds.\n$8 × \\frac{3}{4} = $8 × 0.75 = $6\nIt would cost $6.", "answer": "6", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| crab meat | $8/lb |\n| lobster meat | $10/lb |\n| mussels | $4/lb |\n| oysters | $5/lb |\n| shrimp | $4/lb |" } ] }, { "id": "20040", "image": "20040.png", "conversations": [ { "from": "human", "question": "Hector has $15.50. Does he have enough to buy a pear tart and a pumpkin pie?\n" }, { "from": "gpt", "solution": "Add the price of a pear tart and the price of a pumpkin pie:\n\n$9.34 + $5.78 = $15.12\n\n$15.12 is less than $15.50. Hector does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pumpkin pie | $5.78 |\n| peach pie | $7.34 |\n| pear tart | $9.34 |\n| apple tart | $9.23 |" } ] }, { "id": "20052", "image": "20052.png", "conversations": [ { "from": "human", "question": "Several people compared how many Web pages they had visited. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 8, 6, 2, 2\n\nFirst, arrange the numbers from least to greatest:\n\n2, 2, 6, 8, 9\n\nNow find the number in the middle.\n\n2, 2, 6, 8, 9\n\nThe number in the middle is 6.\n\nThe median is 6.", "answer": "6", "table": "**Web pages visited**\n\n| Person | Number of Web pages |\n| --- | --- |\n| Carter | 9 |\n| Evelyn | 8 |\n| Miles | 6 |\n| Jeanette | 2 |\n| Nancy | 2 |" } ] }, { "id": "20053", "image": "20053.png", "conversations": [ { "from": "human", "question": "How much more does a pair of designer boots cost than a pair of designer shoes?\n" }, { "from": "gpt", "solution": "Subtract the price of a pair of designer shoes from the price of a pair of designer boots.\n\n$6,526 - $5,012 = $1,514\n\nA pair of designer boots costs $1,514 more than a pair of designer shoes.", "answer": "1,514", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| designer ball gown | $7,712 |\n| pair of designer boots | $6,526 |\n| designer coat | $5,093 |\n| designer handbag | $7,806 |\n| pair of designer shoes | $5,012 |\n| designer watch | $8,595 |" } ] }, { "id": "20055", "image": "20055.png", "conversations": [ { "from": "human", "question": "The town council reported on how many stop signs there are on each street. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 8, 9, 8, 8, 7, 5, 4\n\nFirst, count how many numbers are in the group.\n\nThere are 8 numbers.\n\nNow add all the numbers together:\n\n7 + 8 + 9 + 8 + 8 + 7 + 5 + 4 = 56\n\nNow divide the sum by the number of numbers:\n\n56 ÷ 8 = 7\n\nThe mean is 7.", "answer": "7", "table": "**Stop signs**\n\n| Street | Number of stop signs |\n| --- | --- |\n| Spring Street | 7 |\n| Smith Street | 8 |\n| Irving Street | 9 |\n| Watson Street | 8 |\n| Marshall Street | 8 |\n| Peabody Street | 7 |\n| Mason Street | 5 |\n| Walker Street | 4 |" } ] }, { "id": "20062", "image": "20062.png", "conversations": [ { "from": "human", "question": "Each plant has 2 tomatoes. How many tomatoes are on 3 plants?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 6 tomatoes on 3 plants.", "answer": "6", "table": "| Number of plants | Number of tomatoes |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | ? |" } ] }, { "id": "20063", "image": "20063.png", "conversations": [ { "from": "human", "question": "Cindy tracked the maximum daily wind speed for 4 days. Which day had the highest wind speed?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 49.\n\nNow find the corresponding day. Thursday corresponds to 49.", "answer": "Thursday", "table": "**Daily wind speed**\n\n| Day | Wind speed (miles per hour) |\n| --- | --- |\n| Wednesday | 48 |\n| Thursday | 49 |\n| Friday | 42 |\n| Saturday | 43 |" } ] }, { "id": "20067", "image": "20067.png", "conversations": [ { "from": "human", "question": "Each bus has 5 students. How many students are on 3 buses?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 15 students on 3 buses.", "answer": "15", "table": "| Number of buses | Number of students |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | ? |" } ] }, { "id": "20076", "image": "20076.png", "conversations": [ { "from": "human", "question": "Erin bought 3.6 pounds of ranch dressing. How much did she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the ranch dressing. Multiply the price per pound by the number of pounds.\n$4 × 3.6 = $14.40\nShe spent $14.40.", "answer": "14.40", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| balsamic vinaigrette | $6 per lb |\n| Thousand Island dressing | $7 per lb |\n| blue cheese dressing | $6 per lb |\n| Italian dressing | $3 per lb |\n| ranch dressing | $4 per lb |" } ] }, { "id": "20077", "image": "20077.png", "conversations": [ { "from": "human", "question": "Pedro buys 4 pounds of coffee cake and 2 pounds of lemon bars. How much does he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the coffee cake. Multiply:\n\n$3 × 4 = $12\n\nFind the cost of the lemon bars. Multiply:\n\n$7 × 2 = $14\n\nNow find the total cost by adding:\n\n$12 + $14 = $26\n\nHe spends $26.", "answer": "26", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| lemon bars | $7 per lb |\n| puffed rice bars | $8 per lb |\n| cream cheese bars | $8 per lb |\n| coffee cake | $3 per lb |\n| popcorn balls | $6 per lb |" } ] }, { "id": "20080", "image": "20080.png", "conversations": [ { "from": "human", "question": "A city's school board compared how many students attend each high school. Which school has the fewest students?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 432.\n\nNow find the corresponding school. Truman High corresponds to 432.", "answer": "Truman High", "table": "**High school attendance**\n\n| School | Number of students |\n| --- | --- |\n| Truman High | 432 |\n| Oak High | 437 |\n| Lakeview High | 447 |\n| Hillcrest High | 473 |" } ] }, { "id": "20090", "image": "20090.png", "conversations": [ { "from": "human", "question": "Omar counted the pages in each book on his English class's required reading list. How many books had exactly 75 pages?\n" }, { "from": "gpt", "solution": "For the number 75, the stem is 7, and the leaf is 5. Find the row where the stem is 7. In that row, count all the leaves equal to 5.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 books had exactly 75 pages.", "answer": "2", "table": "**Pages per book**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 7 |\n| 5 | 0, 8 |\n| 6 | |\n| 7 | 0, 1, 1, 4, 5, 5, 8 |\n| 8 | 3, 4 |" } ] }, { "id": "20091", "image": "20091.png", "conversations": [ { "from": "human", "question": "Each horse pasture has 5 sprinklers. How many sprinklers are in 6 horse pastures?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 30 sprinklers in 6 horse pastures.", "answer": "30", "table": "| Number of horse pastures | Number of sprinklers |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | 20 |\n| 5 | 25 |\n| 6 | ? |" } ] }, { "id": "20100", "image": "20100.png", "conversations": [ { "from": "human", "question": "Brianna has two part-time jobs as a children's entertainer. Here are her yearly finances. What is Brianna's gross income for the year?\n" }, { "from": "gpt", "solution": "Brianna's gross income is her total earnings before taxes are taken out. Add the earnings from Brianna's two part-time jobs to find her gross income.\n$11,650 + $13,200 = $24,850\nBrianna's gross income for the year is $24,850.\nYou do not need the information about Brianna's income tax and other payroll taxes to find her gross income.", "answer": "24,850", "table": "**Brianna's yearly finances**\n\n| Column 1 | Column 2 |\n| --- | --- |\n| Earnings from job as a birthday party princess | $11,650 |\n| Earnings from acting in children's plays | $13,200 |\n| Income tax and other payroll taxes | $3,083 |" } ] }, { "id": "20105", "image": "20105.png", "conversations": [ { "from": "human", "question": "Vicky counted the boxes of cereal in a grocery store with different sizes and numbers of prizes. What is the probability that a randomly selected box of cereal contains one prize and is mini size? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the box of cereal contains one prize\" and B be the event \"the box of cereal is mini size\".\nTo find the probability that a box of cereal contains one prize and is mini size, first identify the sample space and the event.\nThe outcomes in the sample space are the different boxes of cereal. Each box of cereal is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the box of cereal contains one prize and is mini size\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the box of cereal contains one prize and is mini size\", so look at the table to see how many boxes of cereal contain one prize and are mini size.\nThe number of boxes of cereal that contain one prize and are mini size is 5.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of boxes of cereal.\n5 + 3 + 1 + 1 = 10\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{5}{10}\n = \\frac{1}{2}\nThe probability that a box of cereal contains one prize and is mini size is \\frac{1}{2}.", "answer": "1/2", "table": "| | Mini size | Regular size |\n| --- | --- | --- |\n| One prize | 5 | 1 |\n| Two prizes | 3 | 1 |" } ] }, { "id": "20106", "image": "20106.png", "conversations": [ { "from": "human", "question": "Lila paid attention to how many comic strips she read in the past 7 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n3, 4, 7, 8, 3, 9, 6\n\nFirst, arrange the numbers from least to greatest:\n\n3, 3, 4, 6, 7, 8, 9\n\nNow find the number in the middle.\n\n3, 3, 4, 6, 7, 8, 9\n\nThe number in the middle is 6.\n\nThe median is 6.", "answer": "6", "table": "**Comic strips read**\n\n| Day | Number of comic strips |\n| --- | --- |\n| Sunday | 3 |\n| Monday | 4 |\n| Tuesday | 7 |\n| Wednesday | 8 |\n| Thursday | 3 |\n| Friday | 9 |\n| Saturday | 6 |" } ] }, { "id": "20123", "image": "20123.png", "conversations": [ { "from": "human", "question": "Maya wrote down how many cups of lemonade she sold in the past 6 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 5, 3, 10, 1, 4\n\nFirst, find the greatest number. The greatest number is 10.\n\nNext, find the least number. The least number is 1.\n\nSubtract the least number from the greatest number:\n\n10 − 1 = 9\n\nThe range is 9.", "answer": "9", "table": "**Cups of lemonade sold**\n\n| Day | Number of cups |\n| --- | --- |\n| Tuesday | 6 |\n| Wednesday | 5 |\n| Thursday | 3 |\n| Friday | 10 |\n| Saturday | 1 |\n| Sunday | 4 |" } ] }, { "id": "20134", "image": "20134.png", "conversations": [ { "from": "human", "question": "Use the data to answer the question below. Is the following statement about our solar system true or false? Half of the planets are made mainly of gas or ice.\n" }, { "from": "gpt", "solution": "The table tells you that of the eight planets, two are made mainly of gas and two are made mainly of ice. So, four of the eight, or half, of the planets are made mainly of gas or ice.", "answer": "true", "table": "**Planet Volume (billions of km3) Primary composition**\n\n| Column 1 | Column 2 |\n| --- | --- |\n| Mercury | 60 rock |\n| Venus | 930 rock |\n| Earth | 1,090 rock |\n| Mars | 160 rock |\n| Jupiter | 1,431,280 gas |\n| Saturn | 827,130 gas |\n| Uranus | 68,330 ice |\n| Neptune | 62,530 ice |" } ] }, { "id": "20143", "image": "20143.png", "conversations": [ { "from": "human", "question": "Look at this table. Is this relation a function?\n" }, { "from": "gpt", "solution": "Look at the x-values in the table.\n\nThe x-value 3 is paired with multiple y-values, so the relation is not a function.", "answer": "no", "table": "| x | y |\n| --- | --- |\n| 3 | 0 |\n| 12 | 16 |\n| 3 | 10 |" } ] }, { "id": "20144", "image": "20144.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. How long does it take to get from Oyster Lighthouse to Fisherman's Cove?\n" }, { "from": "gpt", "solution": "Read the times in the first column for Oyster Lighthouse and Fisherman's Cove.\n\nFind the elapsed time between 6:15 A. M. and 1:15 P. M. The elapsed time is 7 hours.\n\nNo matter which column of times you look at, the elapsed time is always 7 hours.", "answer": "7 hours", "table": "**Tour boat schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 |\n| --- | --- | --- | --- |\n| Oyster Lighthouse | 6:15 A.M. | 6:45 A.M. | 7:15 A.M. |\n| Whale Watch Harbor | 7:15 A.M. | 7:45 A.M. | 8:15 A.M. |\n| Lobster Pier | 9:00 A.M. | 9:30 A.M. | 10:00 A.M. |\n| Starfish Point | 10:45 A.M. | 11:15 A.M. | 11:45 A.M. |\n| Sea Town | 11:45 A.M. | 12:15 P.M. | 12:45 P.M. |\n| Rocky Cliffs | 12:30 P.M. | 1:00 P.M. | 1:30 P.M. |\n| Fisherman's Cove | 1:15 P.M. | 1:45 P.M. | 2:15 P.M. |\n| Palm Tree Island | 1:45 P.M. | 2:15 P.M. | 2:45 P.M. |" } ] }, { "id": "20150", "image": "20150.png", "conversations": [ { "from": "human", "question": "How much money does Erica need to buy 5 pairs of designer shoes?\n" }, { "from": "gpt", "solution": "Find the total cost of 5 pairs of designer shoes by multiplying 5 times the price of a pair of designer shoes.\n\n$4,738.00 × 5 = $23,690.00\n\nErica needs $23,690.00.", "answer": "23,690", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| designer handbag | $3,238.00 |\n| designer watch | $1,024.00 |\n| pair of designer shoes | $4,738.00 |\n| designer ball gown | $3,907.00 |" } ] }, { "id": "20152", "image": "20152.png", "conversations": [ { "from": "human", "question": "For a psychology assignment, Connor kept a sleep log for 6 days. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n11, 11, 6, 10, 6, 10\n\nFirst, count how many numbers are in the group.\n\nThere are 6 numbers.\n\nNow add all the numbers together:\n\n11 + 11 + 6 + 10 + 6 + 10 = 54\n\nNow divide the sum by the number of numbers:\n\n54 ÷ 6 = 9\n\nThe mean is 9.", "answer": "9", "table": "**Hours slept**\n\n| Day | Hours |\n| --- | --- |\n| Wednesday | 11 |\n| Thursday | 11 |\n| Friday | 6 |\n| Saturday | 10 |\n| Sunday | 6 |\n| Monday | 10 |" } ] }, { "id": "20159", "image": "20159.png", "conversations": [ { "from": "human", "question": "Some friends played a trivia game and recorded their scores. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n1, 6, 6, 7, 2, 3, 8\n\nFirst, arrange the numbers from least to greatest:\n\n1, 2, 3, 6, 6, 7, 8\n\nNow find the number in the middle.\n\n1, 2, 3, 6, 6, 7, 8\n\nThe number in the middle is 6.\n\nThe median is 6.", "answer": "6", "table": "**Trivia game scores**\n\n| Name | Score |\n| --- | --- |\n| Henry | 1 |\n| Angie | 6 |\n| Walter | 6 |\n| Regan | 7 |\n| Cole | 2 |\n| Elizabeth | 3 |\n| Danny | 8 |" } ] }, { "id": "20160", "image": "20160.png", "conversations": [ { "from": "human", "question": "A researcher recorded the number of cows on each farm in the county. How many farms have at least 25 cows but fewer than 41 cows?\n" }, { "from": "gpt", "solution": "Find the row with stem 2. Count all the leaves greater than or equal to 5.\n\nCount all the leaves in the row with stem 3.\n\nIn the row with stem 4, count all the leaves less than 1.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plots above. 3 farms have at least 25 cows but fewer than 41 cows.", "answer": "3", "table": "**Cows per farm**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 0, 3, 4 |\n| 2 | 2 |\n| 3 | 2, 7, 8 |\n| 4 | 3, 5, 5, 8, 9 |\n| 5 | 4, 6, 8 |\n| 6 | 1, 2, 3 |" } ] }, { "id": "20165", "image": "20165.png", "conversations": [ { "from": "human", "question": "Some farmers compared how many tractors they own. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n8, 4, 3, 9, 3\n\nFirst, find the greatest number. The greatest number is 9.\n\nNext, find the least number. The least number is 3.\n\nSubtract the least number from the greatest number:\n\n9 − 3 = 6\n\nThe range is 6.", "answer": "6", "table": "**Tractors**\n\n| Farmer | Number of tractors |\n| --- | --- |\n| Farmer Andy | 8 |\n| Farmer Alex | 4 |\n| Farmer Rick | 3 |\n| Farmer Susie | 9 |\n| Farmer Megan | 3 |" } ] }, { "id": "20169", "image": "20169.png", "conversations": [ { "from": "human", "question": "Several people compared how many Web pages they had visited. Who visited the most Web pages?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 376.\n\nNow find the corresponding person. Hansen corresponds to 376.", "answer": "Hansen", "table": "**Web pages visited**\n\n| Person | Number of Web pages |\n| --- | --- |\n| Hansen | 376 |\n| Travis | 362 |\n| Quincy | 367 |\n| Eddie | 337 |" } ] }, { "id": "20174", "image": "20174.png", "conversations": [ { "from": "human", "question": "Addison worked at a water park last summer. Here are Addison's finances for the summer. What was Addison's net income last summer?\n" }, { "from": "gpt", "solution": "Addison's gross income was $6,840. Her payroll taxes were $620.\nSubtract to find Addison's net income.\n$6,840 - $620 = $6,220\nAddison's net income last summer was $6,220.", "answer": "6,220", "table": "**Addison's summer finances**\n\n| Column 1 | Column 2 |\n| --- | --- |\n| Earnings from job at the water park | $6,840 |\n| Income tax and other payroll taxes | $620 |" } ] }, { "id": "20175", "image": "20175.png", "conversations": [ { "from": "human", "question": "Each desk has 5 highlighters. How many highlighters are in 3 desks?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 15 highlighters in 3 desks.", "answer": "15", "table": "| Number of desks | Number of highlighters |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | ? |" } ] }, { "id": "20178", "image": "20178.png", "conversations": [ { "from": "human", "question": "The financial aid office at Scott University produced an internal report on the number of students receiving scholarships. According to the table, what was the rate of change between 2013 and 2014?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{26 students - 37 students}{2014 - 2013}\n = \\frac{26 students - 37 students}{1 year}\n = \\frac{-11 students}{1 year}\n = -11 students per year\nThe rate of change between 2013 and 2014 was - 11 students per year.", "answer": "-11", "table": "**Students receiving scholarships**\n\n| Year | Students |\n| --- | --- |\n| 2013 | 37 |\n| 2014 | 26 |\n| 2015 | 29 |\n| 2016 | 36 |\n| 2017 | 44 |" } ] }, { "id": "20181", "image": "20181.png", "conversations": [ { "from": "human", "question": "A balloon artist counted the number of balloon animal requests she received at a party. The balloon requests differed in animal type and color. What is the probability that a randomly selected balloon animal is shaped like a giraffe and is purple? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the balloon animal is shaped like a giraffe\" and B be the event \"the balloon animal is purple\".\nTo find the probability that a balloon animal is shaped like a giraffe and is purple, first identify the sample space and the event.\nThe outcomes in the sample space are the different balloon animals. Each balloon animal is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the balloon animal is shaped like a giraffe and is purple\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the balloon animal is shaped like a giraffe and is purple\", so look at the table to see how many balloon animals are shaped like a giraffe and are purple.\nThe number of balloon animals that are shaped like a giraffe and are purple is 3.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of balloon animals.\n3 + 2 + 6 + 8 = 19\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{3}{19}\nThe probability that a balloon animal is shaped like a giraffe and is purple is \\frac{3}{19}.", "answer": "3/19", "table": "| | Purple | Green |\n| --- | --- | --- |\n| Giraffe | 3 | 6 |\n| Dog | 2 | 8 |" } ] }, { "id": "20186", "image": "20186.png", "conversations": [ { "from": "human", "question": "How much money does Sally need to buy a jigsaw puzzle and a toy boat?\n" }, { "from": "gpt", "solution": "Add the price of a jigsaw puzzle and the price of a toy boat:\n\n$5.30 + $6.19 = $11.49\n\nSally needs $11.49.", "answer": "11.49", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| jigsaw puzzle | $5.30 |\n| mystery game | $9.70 |\n| teddy bear | $7.40 |\n| board game | $8.75 |\n| toy boat | $6.19 |\n| jar of clay | $3.12 |" } ] }, { "id": "20188", "image": "20188.png", "conversations": [ { "from": "human", "question": "To determine whether people make fewer trips to the movies when the economy is bad, a reporter asked people how many movies they saw last month. How many people went to the movies at least 3 times?\n" }, { "from": "gpt", "solution": "Find the rows for 3, 4, 5, and 6 times. Add the frequencies for these rows.\n\nAdd:\n\n14 + 2 + 15 + 1 = 32\n\n32 people went to the movies at least 3 times.", "answer": "32", "table": "**Trips to the movies last month**\n\n| Number of trips | Frequency |\n| --- | --- |\n| 0 | 11 |\n| 1 | 9 |\n| 2 | 10 |\n| 3 | 14 |\n| 4 | 2 |\n| 5 | 15 |\n| 6 | 1 |" } ] }, { "id": "20189", "image": "20189.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which event ends at 2.00 P.M.?\n" }, { "from": "gpt", "solution": "Find 2:00 P. M. on the schedule. The pie-eating contest ends at 2:00 P. M.", "answer": "pie-eating contest", "table": "**School picnic schedule**\n\n| Event | Begin | End |\n| --- | --- | --- |\n| water balloon toss | 10:15 A.M. | 11:00 A.M. |\n| lunch | 11:05 A.M. | 12:00 P.M. |\n| soccer game | 12:10 P.M. | 12:55 P.M. |\n| pie-eating contest | 1:00 P.M. | 2:00 P.M. |\n| dance competition | 2:05 P.M. | 3:00 P.M. |\n| softball game | 2:55 P.M. | 3:40 P.M. |\n| kickball game | 3:40 P.M. | 4:30 P.M. |" } ] }, { "id": "20190", "image": "20190.png", "conversations": [ { "from": "human", "question": "The city library monitored the number of books checked out each day. On which day were the most books checked out?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 587.\n\nNow find the corresponding day. Sunday corresponds to 587.", "answer": "Sunday", "table": "**Books checked out**\n\n| Day | Number of books |\n| --- | --- |\n| Friday | 578 |\n| Saturday | 575 |\n| Sunday | 587 |\n| Monday | 558 |" } ] }, { "id": "20195", "image": "20195.png", "conversations": [ { "from": "human", "question": "This table shows Amy's August budget. What could Amy do to balance her budget?\n" }, { "from": "gpt", "solution": "Step 1: Find how much money Amy needs to balance her budget.\nFirst, add Amy's sources of income to find her total income.\n$205 + $65 + $45 = $315\nNext, add Amy's expenses to find her total expenses.\n$100 + $35 + $200 = $335\nAmy's expenses are more than her income. Subtract to find the difference.\n$335 - $315 = $20\nThe difference is $20, so Amy needs an extra $20 to balance her budget.\nStep 2: Find the answer choice that gives Amy an extra $20.\nIncreasing her income by $20 will give Amy the extra money she needs.\nSo, Amy can balance her budget by walking dogs to earn an extra $20.", "answer": "walk dogs to earn an extra $20", "table": "**Amy's August budget**\n\n| Income | Expenses |\n| --- | --- |\n| Working at a smoothie shop: $205 | Vacation spending money: $100 |\n| Gift from Dad: $65 | Berry picking: $35 |\n| Teaching water sports: $45 | Saving for a kayak: $200 |" } ] }, { "id": "20203", "image": "20203.png", "conversations": [ { "from": "human", "question": "How much more does a hockey puck cost than a golf ball?\n" }, { "from": "gpt", "solution": "Subtract the price of a golf ball from the price of a hockey puck.\n\n$5.26 - $2.50 = $2.76\n\nA hockey puck costs $2.76 more than a golf ball.", "answer": "2.76", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| golf ball | $2.50 |\n| football | $9.27 |\n| baseball | $2.33 |\n| soccer ball | $8.79 |\n| hockey puck | $5.26 |" } ] }, { "id": "20206", "image": "20206.png", "conversations": [ { "from": "human", "question": "Mike has $31.00. Does he have enough to buy a pair of sweat pants and a pair of shoes?\n" }, { "from": "gpt", "solution": "Add the price of a pair of sweat pants and the price of a pair of shoes:\n\n$11.00 + $21.00 = $32.00\n\n$32.00 is more than $31.00. Mike does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pair of boots | $20.00 |\n| black jacket | $29.00 |\n| pair of sweat pants | $11.00 |\n| pair of brown pants | $10.00 |\n| pair of shoes | $21.00 |" } ] }, { "id": "20209", "image": "20209.png", "conversations": [ { "from": "human", "question": "A girl compared the ages of her cousins. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 6, 5, 9, 5, 9, 5, 5\n\nFirst, arrange the numbers from least to greatest:\n\n5, 5, 5, 5, 6, 9, 9, 9\n\nNow count how many times each number appears.\n\n5 appears 4 times.\n6 appears 1 time.\n9 appears 3 times.\n\nThe number that appears most often is 5.\n\nThe mode is 5.", "answer": "5", "table": "**Ages of cousins**\n\n| Name | Age (years) |\n| --- | --- |\n| Perry | 9 |\n| Henry | 6 |\n| Eric | 5 |\n| Megan | 9 |\n| Cooper | 5 |\n| Brian | 9 |\n| Donald | 5 |\n| Tess | 5 |" } ] }, { "id": "20212", "image": "20212.png", "conversations": [ { "from": "human", "question": "Cole graphed the temperature at noon for 6 days. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 6, 9, 6, 9, 7\n\nFirst, arrange the numbers from least to greatest:\n\n6, 6, 6, 7, 9, 9\n\nNow count how many times each number appears.\n\n6 appears 3 times.\n7 appears 1 time.\n9 appears 2 times.\n\nThe number that appears most often is 6.\n\nThe mode is 6.", "answer": "6", "table": "**Temperature at noon**\n\n| Day | Temperature (°C) |\n| --- | --- |\n| Thursday | 6 |\n| Friday | 6 |\n| Saturday | 9 |\n| Sunday | 6 |\n| Monday | 9 |\n| Tuesday | 7 |" } ] }, { "id": "20213", "image": "20213.png", "conversations": [ { "from": "human", "question": "Gary has $27.50. Does he have enough to buy a cat calendar and a dictionary?\n" }, { "from": "gpt", "solution": "Add the price of a cat calendar and the price of a dictionary:\n\n$11.04 + $16.12 = $27.16\n\n$27.16 is less than $27.50. Gary does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| cat calendar | $11.04 |\n| history book | $14.92 |\n| encyclopedia | $26.62 |\n| dictionary | $16.12 |" } ] }, { "id": "20229", "image": "20229.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which stop does the train depart from at 11.10 A.M.?\n" }, { "from": "gpt", "solution": "Find 11:10 A. M. on the schedule. The train departs from the hospital at 11:10 A. M.", "answer": "hospital", "table": "**Light rail train schedule**\n\n| Location | Time |\n| --- | --- |\n| zoo | 10:40 A.M. |\n| hospital | 11:10 A.M. |\n| town square | 11:35 A.M. |\n| downtown | 11:50 A.M. |\n| science museum | 12:10 P.M. |\n| swimming pool | 12:15 P.M. |\n| park | 12:25 P.M. |\n| art museum | 12:35 P.M. |\n| library | 1:05 P.M. |" } ] }, { "id": "20230", "image": "20230.png", "conversations": [ { "from": "human", "question": "Nora is looking at the price of new cell phones online. Her favorite company, OrangeTech, has a special this weekend. Nora can add an upgrade to a phone for an additional cost, or she can buy a used phone to get a discount. The change in price for each option is shown in the table. Which option results in a greater change in price?\n" }, { "from": "gpt", "solution": "To find the option that results in a greater change in price, use absolute value. Absolute value tells you how much the price changes.\nAdd an upgrade: |$60| = $60\nBuy a used phone: |-$75| = $75\nBuying a used phone results in a greater change in price. It reduces the price by $75.", "answer": "buying a used phone", "table": "| Option | Change in phone price |\n| --- | --- |\n| Add an upgrade | $60 |\n| Buy a used phone | -$75 |" } ] }, { "id": "20232", "image": "20232.png", "conversations": [ { "from": "human", "question": "Helen counted the number of ducks at each pond in the city. What is the smallest number of ducks?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 1.\n\nNow find the lowest leaf in the first row. The lowest leaf is 6.\n\nThe smallest number of ducks has a stem of 1 and a leaf of 6. Write the stem first, then the leaf: 16.\n\nThe smallest number of ducks is 16 ducks.", "answer": "16", "table": "**Ducks per pond**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 6, 9 |\n| 2 | |\n| 3 | 2 |\n| 4 | 0, 3, 3, 5 |\n| 5 | 2, 2, 4 |\n| 6 | 1, 1 |\n| 7 | 2, 4, 7, 9 |\n| 8 | |\n| 9 | 0 |" } ] }, { "id": "20237", "image": "20237.png", "conversations": [ { "from": "human", "question": "How much money does Rudy need to buy 4 whistles?\n" }, { "from": "gpt", "solution": "Find the total cost of 4 whistles by multiplying 4 times the price of a whistle.\n\n$1.42 × 4 = $5.68\n\nRudy needs $5.68.", "answer": "5.68", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| package of purple streamers | $2.58 |\n| birthday balloon | $1.04 |\n| greeting card | $3.18 |\n| whistle | $1.42 |" } ] }, { "id": "20240", "image": "20240.png", "conversations": [ { "from": "human", "question": "A food industry researcher compiled the revenues of several pizzerias. Which restaurant made less from pizzas, Pizzeria Italiano or The Real Chicago?\n" }, { "from": "gpt", "solution": "Add the numbers in the Pizzeria Italiano row. Then, add the numbers in the The Real Chicago row.\n\nPizzeria Italiano: $9.00 + $7.00 = $16.00\nThe Real Chicago: $12.00 + $13.00 = $25.00\n\n$16.00 is less than $25.00. Pizzeria Italiano made less from pizzas.", "answer": "Pizzeria Italiano", "table": "**Pizza sales**\n\n| Restaurant | Vegetarian pizzas | Cheese pizzas |\n| --- | --- | --- |\n| Pizzeria Italiano | $9 | $7 |\n| Arnold's Pizzeria | $14 | $19 |\n| Dan's Deep Dish | $13 | $20 |\n| The Real Chicago | $12 | $13 |" } ] }, { "id": "20243", "image": "20243.png", "conversations": [ { "from": "human", "question": "The owner of an orchard kept records about how many apples were picked in the past 5 days. How many apples in total were picked on Friday and Saturday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nFriday: 8,131\nSaturday: 4,145\n\nNow add: 8,131 + 4,145 = 12,276.\n\n12,276 apples were picked on Friday and Saturday.", "answer": "12,276", "table": "**Apples picked**\n\n| Day | Number of apples |\n| --- | --- |\n| Friday | 8,131 |\n| Saturday | 4,145 |\n| Sunday | 8,137 |\n| Monday | 1,569 |\n| Tuesday | 2,068 |" } ] }, { "id": "20246", "image": "20246.png", "conversations": [ { "from": "human", "question": "Destiny buys 3 kilograms of orange beads. What is the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the orange beads. Multiply the price per kilogram by the number of kilograms.\n\n$3 × 3 = $9\n\nThe total cost is $9.", "answer": "9", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| orange beads | $3 per kilogram |\n| red beads | $3 per kilogram |\n| green beads | $2 per kilogram |\n| yellow beads | $2 per kilogram |\n| blue beads | $3 per kilogram |\n| black beads | $2 per kilogram |" } ] }, { "id": "20248", "image": "20248.png", "conversations": [ { "from": "human", "question": "Natalie's classmates revealed how many science articles they read. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 3, 3, 5, 5, 5\n\nFirst, arrange the numbers from least to greatest:\n\n3, 3, 5, 5, 5, 9\n\nNow count how many times each number appears.\n\n3 appears 2 times.\n5 appears 3 times.\n9 appears 1 time.\n\nThe number that appears most often is 5.\n\nThe mode is 5.", "answer": "5", "table": "**Science articles read**\n\n| Name | Number of science articles |\n| --- | --- |\n| Natalie | 9 |\n| Madelyn | 3 |\n| Ron | 3 |\n| Hayley | 5 |\n| Samuel | 5 |\n| Adele | 5 |" } ] }, { "id": "20251", "image": "20251.png", "conversations": [ { "from": "human", "question": "A crayon factory monitored the number of broken crayons per box during the past day. What is the smallest number of broken crayons?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 1.\n\nNow find the lowest leaf in the first row. The lowest leaf is 2.\n\nThe smallest number of broken crayons has a stem of 1 and a leaf of 2. Write the stem first, then the leaf: 12.\n\nThe smallest number of broken crayons is 12 broken crayons.", "answer": "12", "table": "**Broken crayons per box**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 2 |\n| 2 | 7, 8 |\n| 3 | 0, 3 |\n| 4 | |\n| 5 | 0 |\n| 6 | |\n| 7 | |\n| 8 | 2, 8 |\n| 9 | 0 |" } ] }, { "id": "20256", "image": "20256.png", "conversations": [ { "from": "human", "question": "For the annual class picnic, each student voted for his or her favorite meal. Did fewer fourth graders choose turkey sandwiches or spaghetti for their lunch?\n" }, { "from": "gpt", "solution": "Find the Fourth graders column. Compare the numbers in this column for turkey sandwiches and spaghetti.\n\n19 is less than 20. Fewer fourth graders chose turkey sandwiches.", "answer": "turkey sandwiches", "table": "**Lunch choices**\n\n| Lunch | Fifth graders | Fourth graders |\n| --- | --- | --- |\n| Hamburgers | 7 | 20 |\n| Hot dogs | 10 | 3 |\n| Turkey sandwiches | 3 | 19 |\n| Spaghetti | 17 | 20 |" } ] }, { "id": "20262", "image": "20262.png", "conversations": [ { "from": "human", "question": "Ms. Norman takes care of all kinds of animals on her farm. The frequency chart shows the kinds of animals she has. If 1/3 of the chickens on the farm lay brown eggs, how many chickens lay brown eggs?\n" }, { "from": "gpt", "solution": "The frequencies tell you how many of each kind of animal Ms. Norman has. Start by finding how many chickens she has.\nof them lay brown eggs. Divide 18 by 3.\n18 ÷ 3 = 6\nSo, 6 chickens lay brown eggs.", "answer": "6", "table": "**Farm animals**\n\n| Animal | Frequency |\n| --- | --- |\n| chicken | 18 |\n| cow | 4 |\n| duck | 12 |\n| goat | 6 |\n| pig | 5 |\n| sheep | 8 |" } ] }, { "id": "20263", "image": "20263.png", "conversations": [ { "from": "human", "question": "How much money does Mitch need to buy 2 hockey tickets and 4 football tickets?\n" }, { "from": "gpt", "solution": "Find the cost of 2 hockey tickets.\n\n$46.00 × 2 = $92.00\n\nFind the cost of 4 football tickets.\n\n$33.00 × 4 = $132.00\n\nNow find the total cost.\n\n$92.00 + $132.00 = $224.00\n\nMitch needs $224.00.", "answer": "224", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| tennis ticket | $83.00 |\n| football ticket | $33.00 |\n| soccer ticket | $79.00 |\n| golf ticket | $17.00 |\n| hockey ticket | $46.00 |\n| baseball ticket | $21.00 |" } ] }, { "id": "20267", "image": "20267.png", "conversations": [ { "from": "human", "question": "How much money does William need to buy a long-sleeved shirt, a pair of white socks, and a pair of khaki pants?\n" }, { "from": "gpt", "solution": "Find the total cost of a long-sleeved shirt, a pair of white socks, and a pair of khaki pants.\n\n$8.02 + $4.10 + $6.22 = $18.34\n\nWilliam needs $18.34.", "answer": "18.34", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pair of white socks | $4.10 |\n| blue shirt | $4.34 |\n| striped shirt | $2.46 |\n| long-sleeved shirt | $8.02 |\n| pair of khaki pants | $6.22 |" } ] }, { "id": "20276", "image": "20276.png", "conversations": [ { "from": "human", "question": "A crayon factory monitored the number of broken crayons per box during the past day. How many boxes had exactly 63 broken crayons?\n" }, { "from": "gpt", "solution": "For the number 63, the stem is 6, and the leaf is 3. Find the row where the stem is 6. In that row, count all the leaves equal to 3.\n\nYou counted 0 leaves. 0 boxes had exactly 63 broken crayons.", "answer": "0", "table": "**Broken crayons per box**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 6 |\n| 2 | 4, 5 |\n| 3 | 0 |\n| 4 | 3, 5, 5 |\n| 5 | 1, 6, 7, 9 |\n| 6 | 2, 5, 7 |\n| 7 | 1, 3 |\n| 8 | 3 |\n| 9 | 0 |" } ] }, { "id": "20278", "image": "20278.png", "conversations": [ { "from": "human", "question": "A food industry researcher compiled the revenues of several pizzerias. How much more did Pizza, Pasta and More make from pizzas than Arnold's Pizzeria?\n" }, { "from": "gpt", "solution": "Add the numbers in the Pizza, Pasta and More row. Then, add the numbers in the Arnold's Pizzeria row.\n\nPizza, Pasta and More: $11.00 + $8.00 = $19.00\nArnold's Pizzeria: $8.00 + $9.00 = $17.00\n\nNow subtract:\n\n$19.00 − $17.00 = $2.00\n\nPizza, Pasta and More made $2 more from pizzas than Arnold's Pizzeria.", "answer": "2", "table": "**Pizza sales**\n\n| Restaurant | Pepperoni pizzas | Supreme pizzas |\n| --- | --- | --- |\n| Pizza, Pasta and More | $11 | $8 |\n| Pizza Italia | $16 | $16 |\n| Arnold's Pizzeria | $8 | $9 |" } ] }, { "id": "20285", "image": "20285.png", "conversations": [ { "from": "human", "question": "A machine at the candy factory dispensed different numbers of lemon-flavored candies into various bags. How many bags had at least 80 lemon-flavored candies but fewer than 100 lemon-flavored candies?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 8 and 9.\n\nYou counted 9 leaves, which are blue in the stem-and-leaf plot above. 9 bags had at least 80 lemon-flavored candies but fewer than 100 lemon-flavored candies.", "answer": "9", "table": "**Lemon-flavored candies per bag**\n\n| Stem | Leaf |\n| --- | --- |\n| 5 | 2, 2, 4, 4, 5, 5, 5, 8 |\n| 6 | 1, 4, 6, 8 |\n| 7 | 0, 6, 6, 7 |\n| 8 | 1, 1, 7, 7, 7, 9, 9 |\n| 9 | 0, 0 |" } ] }, { "id": "20295", "image": "20295.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{5 - 2}{13 - 12}\n = \\frac{3}{1}\n = 3\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{13 - 5}{14 - 13}\n = \\frac{8}{1}\n = 8\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 12 | 2 |\n| 13 | 5 |\n| 14 | 13 |" } ] }, { "id": "20299", "image": "20299.png", "conversations": [ { "from": "human", "question": "Some teachers compared how many years they have been teaching. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 2, 5, 8, 4\n\nFirst, count how many numbers are in the group.\n\nThere are 5 numbers.\n\nNow add all the numbers together:\n\n6 + 2 + 5 + 8 + 4 = 25\n\nNow divide the sum by the number of numbers:\n\n25 ÷ 5 = 5\n\nThe mean is 5.", "answer": "5", "table": "**Years of teaching**\n\n| Teacher | Number of years |\n| --- | --- |\n| Mrs. Ramirez | 6 |\n| Ms. Chan | 2 |\n| Ms. Yamamoto | 5 |\n| Mr. Gutierrez | 8 |\n| Mr. Park | 4 |" } ] }, { "id": "20303", "image": "20303.png", "conversations": [ { "from": "human", "question": "A researcher asked people how many letters they had written in the past year and recorded the results. How many people wrote exactly 1 letter?\n" }, { "from": "gpt", "solution": "Find the row for 1 letter and read the frequency. The frequency is 11.\n\n11 people wrote exactly1 letter.", "answer": "11", "table": "**Writing letters**\n\n| Letters written | Frequency |\n| --- | --- |\n| 0 | 3 |\n| 1 | 11 |\n| 2 | 7 |\n| 3 | 14 |\n| 4 | 10 |\n| 5 | 17 |" } ] }, { "id": "20306", "image": "20306.png", "conversations": [ { "from": "human", "question": "How much money does Carly need to buy a pair of shorts and a winter jacket?\n" }, { "from": "gpt", "solution": "Add the price of a pair of shorts and the price of a winter jacket:\n\n$20.50 + $48.48 = $68.98\n\nCarly needs $68.98.", "answer": "68.98", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pair of jeans | $18.07 |\n| yellow dress | $10.58 |\n| pair of shorts | $20.50 |\n| winter jacket | $48.48 |" } ] }, { "id": "20312", "image": "20312.png", "conversations": [ { "from": "human", "question": "Justine went to the store and bought 1 kilogram of lemons, 3 kilograms of grapefruits, and 2 kilograms of oranges. How much did she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the lemons. Multiply:\n\n$1.10 × 1 = $1.10\n\nFind the cost of the grapefruits. Multiply:\n\n$0.82 × 3 = $2.46\n\nFind the cost of the oranges. Multiply:\n\n$1.28 × 2 = $2.56\n\nNow find the total cost by adding:\n\n$1.10 + $2.46 + $2.56 = $6.12\n\nShe spent $6.12.", "answer": "6.12", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| grapefruits | $0.82/kg |\n| oranges | $1.28/kg |\n| pineapples | $1.26/kg |\n| lemons | $1.10/kg |" } ] }, { "id": "20313", "image": "20313.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. How long does it take to get from the hospital to downtown?\n" }, { "from": "gpt", "solution": "Read the times in the first column for the hospital and downtown.\n\nFind the elapsed time between 12:00 P. M. and 1:00 P. M. The elapsed time is 1 hour.\n\nNo matter which column of times you look at, the elapsed time is always 1 hour.", "answer": "1 hour", "table": "**Light rail train schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 | Column 5 |\n| --- | --- | --- | --- | --- |\n| grocery store | 9:45 A.M. | 10:30 A.M. | 10:45 A.M. | 11:00 A.M. |\n| art museum | 10:15 A.M. | 11:00 A.M. | 11:15 A.M. | 11:30 A.M. |\n| elementary school | 10:45 A.M. | 11:30 A.M. | 11:45 A.M. | 12:00 P.M. |\n| zoo | 11:00 A.M. | 11:45 A.M. | 12:00 P.M. | 12:15 P.M. |\n| city hall | 11:30 A.M. | 12:15 P.M. | 12:30 P.M. | 12:45 P.M. |\n| hospital | 12:00 P.M. | 12:45 P.M. | 1:00 P.M. | 1:15 P.M. |\n| shopping mall | 12:30 P.M. | 1:15 P.M. | 1:30 P.M. | 1:45 P.M. |\n| downtown | 1:00 P.M. | 1:45 P.M. | 2:00 P.M. | 2:15 P.M. |" } ] }, { "id": "20317", "image": "20317.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{11 - 2}{17 - 16}\n = \\frac{9}{1}\n = 9\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{18 - 11}{18 - 17}\n = \\frac{7}{1}\n = 7\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 16 | 2 |\n| 17 | 11 |\n| 18 | 18 |" } ] }, { "id": "20329", "image": "20329.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $475, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $475, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $475 | 6,600 | 9,000 |\n| $595 | 5,200 | 11,200 |\n| $715 | 3,800 | 13,400 |\n| $835 | 2,400 | 15,600 |\n| $955 | 1,000 | 17,800 |" } ] }, { "id": "20342", "image": "20342.png", "conversations": [ { "from": "human", "question": "Some friends played a trivia game and recorded their scores. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n4, 3, 2, 3, 5, 4, 1, 2\n\nFirst, find the greatest number. The greatest number is 5.\n\nNext, find the least number. The least number is 1.\n\nSubtract the least number from the greatest number:\n\n5 − 1 = 4\n\nThe range is 4.", "answer": "4", "table": "**Trivia game scores**\n\n| Name | Score |\n| --- | --- |\n| Sofia | 4 |\n| Dwayne | 3 |\n| Omar | 2 |\n| Cassie | 3 |\n| Walter | 5 |\n| Irma | 4 |\n| Maggie | 1 |\n| Ken | 2 |" } ] }, { "id": "20349", "image": "20349.png", "conversations": [ { "from": "human", "question": "Fans of the Winchester baseball team compared the number of games won by their team each year. According to the table, what was the rate of change between 2016 and 2017?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{26 games - 39 games}{2017 - 2016}\n = \\frac{26 games - 39 games}{1 year}\n = \\frac{-13 games}{1 year}\n = -13 games per year\nThe rate of change between 2016 and 2017 was - 13 games per year.", "answer": "-13", "table": "**Games won by the Winchester baseball team**\n\n| Year | Games won |\n| --- | --- |\n| 2015 | 30 |\n| 2016 | 39 |\n| 2017 | 26 |\n| 2018 | 34 |\n| 2019 | 31 |" } ] }, { "id": "20355", "image": "20355.png", "conversations": [ { "from": "human", "question": "A coffee shop monitored the number of cups of coffee sold each day. On which day did the shop sell the most cups?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 382.\n\nNow find the corresponding day. Monday corresponds to 382.", "answer": "Monday", "table": "**Cups of coffee sold**\n\n| Day | Number of cups |\n| --- | --- |\n| Friday | 323 |\n| Saturday | 338 |\n| Sunday | 328 |\n| Monday | 382 |" } ] }, { "id": "20358", "image": "20358.png", "conversations": [ { "from": "human", "question": "The teachers at a middle school counted how many computers they had in their classrooms. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n2, 7, 7, 2, 2\n\nFirst, arrange the numbers from least to greatest:\n\n2, 2, 2, 7, 7\n\nNow find the number in the middle.\n\n2, 2, 2, 7, 7\n\nThe number in the middle is 2.\n\nThe median is 2.", "answer": "2", "table": "**Computers in classrooms**\n\n| Teacher | Number of computers |\n| --- | --- |\n| Ms. Cohen | 2 |\n| Ms. Rojas | 7 |\n| Mrs. Jansen | 7 |\n| Mr. Watson | 2 |\n| Mrs. Tan | 2 |" } ] }, { "id": "20361", "image": "20361.png", "conversations": [ { "from": "human", "question": "A restaurant's average food preparation time was tracked from day to day as part of an efficiency improvement program. According to the table, what was the rate of change between Monday and Tuesday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{10 minutes - 12 minutes}{1 day}\n = \\frac{-2 minutes}{1 day}\n = -2 minutes per day\nThe rate of change between Monday and Tuesday was - 2 minutes per day.", "answer": "-2", "table": "**Average food preparation time**\n\n| Day | Food preparation time (minutes) |\n| --- | --- |\n| Sunday | 10 |\n| Monday | 12 |\n| Tuesday | 10 |\n| Wednesday | 8 |\n| Thursday | 10 |" } ] }, { "id": "20369", "image": "20369.png", "conversations": [ { "from": "human", "question": "As part of a statistics lesson, Miss Blake asked her students how many jackets they own. How many students own more than 5 jackets?\n" }, { "from": "gpt", "solution": "Find the row for 6 jackets and read the frequency. The frequency is 20.\n\n20 students own more than 5 jackets.", "answer": "20", "table": "**Jackets**\n\n| Number of jackets | Frequency |\n| --- | --- |\n| 0 | 19 |\n| 1 | 16 |\n| 2 | 8 |\n| 3 | 5 |\n| 4 | 17 |\n| 5 | 15 |\n| 6 | 20 |" } ] }, { "id": "20370", "image": "20370.png", "conversations": [ { "from": "human", "question": "How much money does Tanvi need to buy a pair of jeans and a green dress?\n" }, { "from": "gpt", "solution": "Add the price of a pair of jeans and the price of a green dress:\n\n$38.78 + $38.75 = $77.53\n\nTanvi needs $77.53.", "answer": "77.53", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| red sweater | $17.34 |\n| green dress | $38.75 |\n| pair of brown pants | $12.68 |\n| pair of tennis shoes | $48.24 |\n| pair of jeans | $38.78 |\n| yellow skirt | $11.66 |" } ] }, { "id": "20375", "image": "20375.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $1,200, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $1,200, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $860 | 18,900 | 8,600 |\n| $1,030 | 15,900 | 11,800 |\n| $1,200 | 12,900 | 15,000 |\n| $1,370 | 9,900 | 18,200 |\n| $1,540 | 6,900 | 21,400 |" } ] }, { "id": "20385", "image": "20385.png", "conversations": [ { "from": "human", "question": "Ms. McCormick reported her students' scores on the most recent quiz. How many students scored at least 65 points?\n" }, { "from": "gpt", "solution": "Find the row with stem 6. Count all the leaves greater than or equal to 5.\n\nCount all the leaves in the rows with stems 7 and 8.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plots above. 3 students scored at least 65 points.", "answer": "3", "table": "**Quiz scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 2, 2, 9 |\n| 3 | 0, 2, 3 |\n| 4 | 1, 5, 8 |\n| 5 | 7, 9 |\n| 6 | |\n| 7 | 5 |\n| 8 | 1, 9 |" } ] }, { "id": "20389", "image": "20389.png", "conversations": [ { "from": "human", "question": "Sally spent a week at the beach and recorded the number of shells she found each day. According to the table, what was the rate of change between Friday and Saturday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{0 shells - 0 shells}{1 day}\n = \\frac{0 shells}{1 day}\n = 0 shells per day\nThe rate of change between Friday and Saturday was 0 shells per day.", "answer": "0", "table": "**Shells Sally found**\n\n| Day | Number of shells |\n| --- | --- |\n| Tuesday | 5 |\n| Wednesday | 6 |\n| Thursday | 0 |\n| Friday | 0 |\n| Saturday | 0 |" } ] }, { "id": "20394", "image": "20394.png", "conversations": [ { "from": "human", "question": "The staff of a game show tracked the performance of all the contestants during the past season. How many people scored at least 41 points?\n" }, { "from": "gpt", "solution": "Find the row with stem 4. Count all the leaves greater than or equal to 1.\n\nCount all the leaves in the rows with stems 5, 6, 7, and 8.\n\nYou counted 5 leaves, which are blue in the stem-and-leaf plots above. 5 people scored at least 41 points.", "answer": "5", "table": "**Game show scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 1 |\n| 3 | 6 |\n| 4 | 4 |\n| 5 | 0 |\n| 6 | 3 |\n| 7 | 4 |\n| 8 | 6 |" } ] }, { "id": "20395", "image": "20395.png", "conversations": [ { "from": "human", "question": "The members of the science club shared how many times they had been to the zoo last year. How many members went to the zoo more than 2 times?\n" }, { "from": "gpt", "solution": "Find the rows for 3, 4, 5, and 6 times. Add the frequencies for these rows.\n\nAdd:\n\n16 + 4 + 2 + 14 = 36\n\n36 members went to the zoo more than 2 times.", "answer": "36", "table": "**Trips to the zoo last year**\n\n| Number of trips | Frequency |\n| --- | --- |\n| 0 | 19 |\n| 1 | 1 |\n| 2 | 17 |\n| 3 | 16 |\n| 4 | 4 |\n| 5 | 2 |\n| 6 | 14 |" } ] }, { "id": "20396", "image": "20396.png", "conversations": [ { "from": "human", "question": "Seth paid attention to how many comic strips he read in the past 7 days. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n11, 14, 7, 14, 11, 7, 11\n\nFirst, arrange the numbers from least to greatest:\n\n7, 7, 11, 11, 11, 14, 14\n\nNow count how many times each number appears.\n\n7 appears 2 times.\n11 appears 3 times.\n14 appears 2 times.\n\nThe number that appears most often is 11.\n\nThe mode is 11.", "answer": "11", "table": "**Comic strips read**\n\n| Day | Number of comic strips |\n| --- | --- |\n| Tuesday | 11 |\n| Wednesday | 14 |\n| Thursday | 7 |\n| Friday | 14 |\n| Saturday | 11 |\n| Sunday | 7 |\n| Monday | 11 |" } ] }, { "id": "20407", "image": "20407.png", "conversations": [ { "from": "human", "question": "A pizza delivery driver paid attention to how many pizzas he delivered over the past 5 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n26, 29, 29, 31, 32\n\nFirst, arrange the numbers from least to greatest:\n\n26, 29, 29, 31, 32\n\nNow find the number in the middle.\n\n26, 29, 29, 31, 32\n\nThe number in the middle is 29.\n\nThe median is 29.", "answer": "29", "table": "**Pizzas delivered**\n\n| Day | Number of pizzas |\n| --- | --- |\n| Thursday | 26 |\n| Friday | 29 |\n| Saturday | 29 |\n| Sunday | 31 |\n| Monday | 32 |" } ] }, { "id": "20408", "image": "20408.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Mike is at the shopping mall. If he wants to arrive at the science museum at 1.15 P.M., what time should he get on the train?\n" }, { "from": "gpt", "solution": "Look at the row for the science museum. Find the train that arrives at the science museum at 1:15 P. M.\n\nLook up the column until you find the row for the shopping mall.\n\nMike should get on the train at 10:15 A. M.", "answer": "10:15 A.M.", "table": "**Light rail train schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 |\n| --- | --- | --- | --- |\n| post office | 9:45 A.M. | 10:00 A.M. | 11:00 A.M. |\n| library | 10:00 A.M. | 10:15 A.M. | 11:15 A.M. |\n| shopping mall | 10:15 A.M. | 10:30 A.M. | 11:30 A.M. |\n| zoo | 10:45 A.M. | 11:00 A.M. | 12:00 P.M. |\n| swimming pool | 11:15 A.M. | 11:30 A.M. | 12:30 P.M. |\n| town square | 11:45 A.M. | 12:00 P.M. | 1:00 P.M. |\n| city hall | 12:15 P.M. | 12:30 P.M. | 1:30 P.M. |\n| elementary school | 12:45 P.M. | 1:00 P.M. | 2:00 P.M. |\n| science museum | 1:15 P.M. | 1:30 P.M. | 2:30 P.M. |" } ] }, { "id": "20417", "image": "20417.png", "conversations": [ { "from": "human", "question": "The staff of a game show tracked the performance of all the contestants during the past season. How many people scored at least 62 points?\n" }, { "from": "gpt", "solution": "Find the row with stem 6. Count all the leaves greater than or equal to 2.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 people scored at least 62 points.", "answer": "4", "table": "**Game show scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 1, 6, 7, 7, 7 |\n| 4 | 1 |\n| 5 | 1, 6 |\n| 6 | 3, 5, 6, 9 |" } ] }, { "id": "20430", "image": "20430.png", "conversations": [ { "from": "human", "question": "Each cage has 5 gerbils. How many gerbils are in 3 cages?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 15 gerbils in 3 cages.", "answer": "15", "table": "| Number of cages | Number of gerbils |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | ? |" } ] }, { "id": "20435", "image": "20435.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $190, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $190, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $190 | 15,500 | 1,100 |\n| $220 | 15,300 | 5,000 |\n| $250 | 15,100 | 8,900 |\n| $280 | 14,900 | 12,800 |\n| $310 | 14,700 | 16,700 |" } ] }, { "id": "20447", "image": "20447.png", "conversations": [ { "from": "human", "question": "Look at this table. Is this relation a function?\n" }, { "from": "gpt", "solution": "Look at the x-values in the table.\n\nThe x-value 20 is paired with multiple y-values, so the relation is not a function.", "answer": "no", "table": "| x | y |\n| --- | --- |\n| 20 | 4 |\n| 2 | 7 |\n| 20 | 6 |" } ] }, { "id": "20448", "image": "20448.png", "conversations": [ { "from": "human", "question": "Zoe kept a log of how many pages she read each month. In which month did Zoe read the fewest pages?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 91.\n\nNow find the corresponding month. July corresponds to 91.", "answer": "July", "table": "**Pages read**\n\n| Month | Number of pages |\n| --- | --- |\n| July | 91 |\n| August | 96 |\n| September | 92 |\n| October | 98 |" } ] }, { "id": "20453", "image": "20453.png", "conversations": [ { "from": "human", "question": "Each soccer field has 5 sprinklers. How many sprinklers are on 4 soccer fields?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 20 sprinklers on 4 soccer fields.", "answer": "20", "table": "| Number of soccer fields | Number of sprinklers |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | ? |" } ] }, { "id": "20459", "image": "20459.png", "conversations": [ { "from": "human", "question": "The city recorded how many fire hydrants there are on each street. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n3, 12, 2, 1, 5\n\nFirst, arrange the numbers from least to greatest:\n\n1, 2, 3, 5, 12\n\nNow find the number in the middle.\n\n1, 2, 3, 5, 12\n\nThe number in the middle is 3.\n\nThe median is 3.", "answer": "3", "table": "**Fire hydrants**\n\n| Street | Number of hydrants |\n| --- | --- |\n| Rose Street | 3 |\n| Cherry Street | 12 |\n| Fir Street | 2 |\n| Elm Street | 1 |\n| Maple Street | 5 |" } ] }, { "id": "20460", "image": "20460.png", "conversations": [ { "from": "human", "question": "This is Sandra's complete financial record for December. How much money did Sandra spend on December 29?\n" }, { "from": "gpt", "solution": "Look at the 12/29 row. The expenses were $7.80. So, Sandra spent $7.80 on December 29.\n", "answer": "7.80", "table": "| Date | Description | Received | Expenses | Available Funds |\n| --- | --- | --- | --- | --- |\n| | Balance: end of November | | | $328.20 |\n| 12/5 | wrapping paper | | $4.95 | $323.25 |\n| 12/16 | watching Ms. Simon's cat | $15.00 | | $338.25 |\n| 12/29 | calendar | | $7.80 | $330.45 |" } ] }, { "id": "20461", "image": "20461.png", "conversations": [ { "from": "human", "question": "Zeke has $23.00. Does he have enough to buy an apple pie and an apple tart?\n" }, { "from": "gpt", "solution": "Add the price of an apple pie and the price of an apple tart:\n\n$14.00 + $12.00 = $26.00\n\n$26.00 is more than $23.00. Zeke does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| peach pie | $10.00 |\n| cherry pie | $14.00 |\n| apple tart | $12.00 |\n| carrot cake | $13.00 |\n| apple pie | $14.00 |" } ] }, { "id": "20467", "image": "20467.png", "conversations": [ { "from": "human", "question": "Some friends played miniature golf and wrote down their scores. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n44, 40, 44, 40, 40\n\nFirst, arrange the numbers from least to greatest:\n\n40, 40, 40, 44, 44\n\nNow count how many times each number appears.\n\n40 appears 3 times.\n44 appears 2 times.\n\nThe number that appears most often is 40.\n\nThe mode is 40.", "answer": "40", "table": "**Miniature golf scores**\n\n| Name | Score |\n| --- | --- |\n| William | 44 |\n| Quinn | 40 |\n| Michael | 44 |\n| Sandeep | 40 |\n| Lucia | 40 |" } ] }, { "id": "20473", "image": "20473.png", "conversations": [ { "from": "human", "question": "A pottery factory kept track of the number of broken plates per shipment last week. What is the smallest number of broken plates?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 1.\n\nNow find the lowest leaf in the first row. The lowest leaf is 0.\n\nThe smallest number of broken plates has a stem of 1 and a leaf of 0. Write the stem first, then the leaf: 10.\n\nThe smallest number of broken plates is 10 broken plates.", "answer": "10", "table": "**Broken plates per shipment**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 6, 7, 9 |\n| 2 | 4, 5, 8 |\n| 3 | 3, 4, 7, 7 |\n| 4 | 3, 5, 5, 6 |\n| 5 | 6, 6 |\n| 6 | 1, 4, 6, 8, 8, 8 |" } ] }, { "id": "20488", "image": "20488.png", "conversations": [ { "from": "human", "question": "How much more does a banana cream pie cost than a pumpkin pie?\n" }, { "from": "gpt", "solution": "Subtract the price of a pumpkin pie from the price of a banana cream pie.\n\n$10.94 - $10.53 = $0.41\n\nA banana cream pie costs $0.41 more than a pumpkin pie.", "answer": "0.41", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pumpkin pie | $10.53 |\n| almond tart | $20.72 |\n| birthday cake | $28.48 |\n| banana cream pie | $10.94 |" } ] }, { "id": "20489", "image": "20489.png", "conversations": [ { "from": "human", "question": "An author recorded how many words she wrote in the past 3 days. How many words in total did the author write on Thursday and Friday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nThursday: 374\nFriday: 305\n\nNow add: 374 + 305 = 679.\n\nThe author wrote 679 words on Thursday and Friday.", "answer": "679", "table": "**Words written**\n\n| Day | Number of words |\n| --- | --- |\n| Wednesday | 407 |\n| Thursday | 374 |\n| Friday | 305 |" } ] }, { "id": "20496", "image": "20496.png", "conversations": [ { "from": "human", "question": "A cookie factory monitored the number of broken cookies per pack yesterday. How many packs had at least 57 broken cookies?\n" }, { "from": "gpt", "solution": "Find the row with stem 5. Count all the leaves greater than or equal to 7.\n\nCount all the leaves in the rows with stems 6, 7, and 8.\n\nYou counted 11 leaves, which are blue in the stem-and-leaf plots above. 11 packs had at least 57 broken cookies.", "answer": "11", "table": "**Broken cookies per pack**\n\n| Stem | Leaf |\n| --- | --- |\n| 5 | 0, 0, 1, 2, 4, 6, 8, 8, 9 |\n| 6 | 6 |\n| 7 | 2, 2, 9 |\n| 8 | 1, 1, 2, 4 |" } ] }, { "id": "20499", "image": "20499.png", "conversations": [ { "from": "human", "question": "Ms. Woodman is giving her classes a research project on historical figures of the Revolutionary War. She asked her students whether they would prefer to make a video documentary or stage a live performance. This table shows the results. What percentage of boys would prefer to stage a live performance? Round your answer to the nearest tenth of a percent.\n" }, { "from": "gpt", "solution": "To start, find the total number of boys who would prefer to stage a live performance.\n6 boys would prefer to stage a live performance.\nNext, find the total number of boys.\nThere are a total of 31 boys.\nLast, find the percentage of boys who would prefer to stage a live performance. Divide the number of boys who would prefer to stage a live performance by the total number of boys.\n\\frac{6}{31} = 0.1935… = 19.35…%\nTo the nearest tenth of a percent, 19.4% of boys would prefer to stage a live performance.", "answer": "19.4%", "table": "**Video documentary Live performance Total**\n\n| Column 1 | Column 2 | Column 3 | Column 4 |\n| --- | --- | --- | --- |\n| Boys | 25 | 6 | 31 |\n| Girls | 16 | 17 | 33 |\n| Total | 41 | 23 | 64 |" } ] }, { "id": "20508", "image": "20508.png", "conversations": [ { "from": "human", "question": "Each cup has 10 ice cubes. How many ice cubes are in 3 cups?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 30 ice cubes in 3 cups.", "answer": "30", "table": "| Number of cups | Number of ice cubes |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | ? |" } ] }, { "id": "20512", "image": "20512.png", "conversations": [ { "from": "human", "question": "A hardware store monitored how many hammers it sold in the past 7 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 7, 6, 6, 4, 5, 3\n\nFirst, arrange the numbers from least to greatest:\n\n3, 4, 5, 6, 6, 7, 7\n\nNow find the number in the middle.\n\n3, 4, 5, 6, 6, 7, 7\n\nThe number in the middle is 6.\n\nThe median is 6.", "answer": "6", "table": "**Hammers sold**\n\n| Day | Number of hammers |\n| --- | --- |\n| Tuesday | 7 |\n| Wednesday | 7 |\n| Thursday | 6 |\n| Friday | 6 |\n| Saturday | 4 |\n| Sunday | 5 |\n| Monday | 3 |" } ] }, { "id": "20514", "image": "20514.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{7 - 6}{3 - 2}\n = \\frac{1}{1}\n = 1\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{10 - 7}{4 - 3}\n = \\frac{3}{1}\n = 3\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 2 | 6 |\n| 3 | 7 |\n| 4 | 10 |" } ] }, { "id": "20521", "image": "20521.png", "conversations": [ { "from": "human", "question": "Isaiah has $1,201. How much money will Isaiah have left if he buys a case of beakers and a hot plate?\n" }, { "from": "gpt", "solution": "Find the total cost of a case of beakers and a hot plate.\n\n$268 + $389 = $657\n\nNow subtract the total cost from the starting amount.\n\n$1,201 - $657 = $544\n\nIsaiah will have $544 left.", "answer": "544", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| laboratory freezer | $502 |\n| case of beakers | $268 |\n| case of test tubes | $429 |\n| hot plate | $389 |" } ] }, { "id": "20522", "image": "20522.png", "conversations": [ { "from": "human", "question": "The members of the local garden club tallied the number of plants in each person's garden. How many gardens have fewer than 90 plants?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 4, 5, 6, 7, and 8.\n\nYou counted 21 leaves, which are blue in the stem-and-leaf plot above. 21 gardens have fewer than 90 plants.", "answer": "21", "table": "**Plants per garden**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 7 |\n| 5 | 2, 3, 5, 6 |\n| 6 | 0, 0, 1, 3, 8 |\n| 7 | 0, 2 |\n| 8 | 1, 1, 2, 5, 5, 5, 6, 7, 9 |" } ] }, { "id": "20523", "image": "20523.png", "conversations": [ { "from": "human", "question": "Harry has two dogs, Sprinkles and Champ. He is concerned because Sprinkles keeps eating Champ's food. Harry asks their vet how much each dog's weight has changed since their last visit. Which dog's weight has changed the most?\n" }, { "from": "gpt", "solution": "To find which dog's weight changed the most, use absolute value. Absolute value tells you how much each dog's weight has changed.\nSprinkles: |5| = 5\nChamp: |-6| = 6\nChamp's weight has changed the most. He has lost 6 ounces.", "answer": "Champ", "table": "| Dog | Weight change (oz.) |\n| --- | --- |\n| Sprinkles | 5 |\n| Champ | -6 |" } ] }, { "id": "20525", "image": "20525.png", "conversations": [ { "from": "human", "question": "A concession stand worker at the movie theater looked up how many bags of popcorn were sold in the past 5 days. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n3, 4, 6, 8, 9\n\nFirst, count how many numbers are in the group.\n\nThere are 5 numbers.\n\nNow add all the numbers together:\n\n3 + 4 + 6 + 8 + 9 = 30\n\nNow divide the sum by the number of numbers:\n\n30 ÷ 5 = 6\n\nThe mean is 6.", "answer": "6", "table": "**Bags of popcorn sold**\n\n| Day | Number of bags of popcorn |\n| --- | --- |\n| Thursday | 3 |\n| Friday | 4 |\n| Saturday | 6 |\n| Sunday | 8 |\n| Monday | 9 |" } ] }, { "id": "20529", "image": "20529.png", "conversations": [ { "from": "human", "question": "Some friends went bowling and kept track of their scores. Who had the highest score?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 57.\n\nNow find the corresponding name. Perry corresponds to 57.", "answer": "Perry", "table": "**Bowling scores**\n\n| Name | Score |\n| --- | --- |\n| Heather | 51 |\n| Bridgette | 52 |\n| Larry | 50 |\n| Perry | 57 |" } ] }, { "id": "20533", "image": "20533.png", "conversations": [ { "from": "human", "question": "How much money does Shawna need to buy 4 sour apple candies?\n" }, { "from": "gpt", "solution": "Find the total cost of 4 sour apple candies by multiplying 4 times the price of a sour apple candy.\n\n$0.13 × 4 = $0.52\n\nShawna needs $0.52.", "answer": "0.52", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| piece of licorice | $0.10 |\n| peppermint candy | $0.11 |\n| chocolate-covered cherry | $0.20 |\n| sour apple candy | $0.13 |\n| butterscotch candy | $0.12 |\n| gum drop | $0.12 |" } ] }, { "id": "20540", "image": "20540.png", "conversations": [ { "from": "human", "question": "An author kept a log of how many pages he wrote in the past 6 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n4, 4, 0, 4, 6, 7\n\nFirst, find the greatest number. The greatest number is 7.\n\nNext, find the least number. The least number is 0.\n\nSubtract the least number from the greatest number:\n\n7 − 0 = 7\n\nThe range is 7.", "answer": "7", "table": "**Pages written**\n\n| Day | Number of pages |\n| --- | --- |\n| Friday | 4 |\n| Saturday | 4 |\n| Sunday | 0 |\n| Monday | 4 |\n| Tuesday | 6 |\n| Wednesday | 7 |" } ] }, { "id": "20545", "image": "20545.png", "conversations": [ { "from": "human", "question": "Mrs. Trevino told students how many rounds to expect in the spelling bee based on previous years. According to the table, what was the rate of change between 2008 and 2009?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{16 rounds - 9 rounds}{2009 - 2008}\n = \\frac{16 rounds - 9 rounds}{1 year}\n = \\frac{7 rounds}{1 year}\n = 7 rounds per year\nThe rate of change between 2008 and 2009 was 7 rounds per year.", "answer": "7", "table": "**Rounds in the spelling bee**\n\n| Year | Rounds |\n| --- | --- |\n| 2007 | 13 |\n| 2008 | 9 |\n| 2009 | 16 |\n| 2010 | 16 |\n| 2011 | 14 |" } ] }, { "id": "20551", "image": "20551.png", "conversations": [ { "from": "human", "question": "A researcher recorded the number of cows on each farm in the county. How many farms have at least 12 cows but fewer than 37 cows?\n" }, { "from": "gpt", "solution": "Find the row with stem 1. Count all the leaves greater than or equal to 2.\n\nCount all the leaves in the row with stem 2.\n\nIn the row with stem 3, count all the leaves less than 7.\n\nYou counted 8 leaves, which are blue in the stem-and-leaf plots above. 8 farms have at least 12 cows but fewer than 37 cows.", "answer": "8", "table": "**Cows per farm**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 2, 3, 5 |\n| 2 | 0, 1, 8 |\n| 3 | 0, 1 |\n| 4 | |\n| 5 | 5, 7 |\n| 6 | |\n| 7 | 0, 1, 2, 7, 9 |" } ] }, { "id": "20552", "image": "20552.png", "conversations": [ { "from": "human", "question": "Nicholas purchased 1 pound of size 4 screws. What was the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the size 4 screws. Multiply the price per pound by the number of pounds.\n\n$10 × 1 = $10\n\nThe total cost was $10.", "answer": "10", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| size 3 screws | $5 per pound |\n| size 5 screws | $10 per pound |\n| size 6 screws | $6 per pound |\n| size 4 screws | $10 per pound |\n| size 2 screws | $7 per pound |" } ] }, { "id": "20555", "image": "20555.png", "conversations": [ { "from": "human", "question": "The players on a quiz show received the following scores. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n4, 5, 5, 1, 4, 5, 5, 3\n\nFirst, count how many numbers are in the group.\n\nThere are 8 numbers.\n\nNow add all the numbers together:\n\n4 + 5 + 5 + 1 + 4 + 5 + 5 + 3 = 32\n\nNow divide the sum by the number of numbers:\n\n32 ÷ 8 = 4\n\nThe mean is 4.", "answer": "4", "table": "**Quiz show scores**\n\n| Name | Score |\n| --- | --- |\n| Philip | 4 |\n| Ellie | 5 |\n| Kiara | 5 |\n| Ross | 1 |\n| Ling | 4 |\n| Hansen | 5 |\n| Anne | 5 |\n| Darius | 3 |" } ] }, { "id": "20559", "image": "20559.png", "conversations": [ { "from": "human", "question": "How much money does Lisa need to buy a map of the United States and an airplane calendar?\n" }, { "from": "gpt", "solution": "Add the price of a map of the United States and the price of an airplane calendar:\n\n$5.96 + $8.44 = $14.40\n\nLisa needs $14.40.", "answer": "14.40", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| map of the United States | $5.96 |\n| airplane calendar | $8.44 |\n| newspaper | $1.31 |\n| dictionary | $8.08 |" } ] }, { "id": "20563", "image": "20563.png", "conversations": [ { "from": "human", "question": "Jackson's family went on a road trip and counted the number of cars they saw each day. On which day did they see the most cars?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 343.\n\nNow find the corresponding day. Saturday corresponds to 343.", "answer": "Saturday", "table": "**Number of cars**\n\n| Day | Number of cars |\n| --- | --- |\n| Thursday | 342 |\n| Friday | 332 |\n| Saturday | 343 |\n| Sunday | 321 |" } ] }, { "id": "20569", "image": "20569.png", "conversations": [ { "from": "human", "question": "Cora measured the length of each scarf in the clothing store where she works. How many scarves are at least 66 centimeters but less than 99 centimeters?\n" }, { "from": "gpt", "solution": "Find the row with stem 6. Count all the leaves greater than or equal to 6.\n\nCount all the leaves in the rows with stems 7 and 8.\n\nIn the row with stem 9, count all the leaves less than 9.\n\nYou counted 23 leaves, which are blue in the stem-and-leaf plots above. 23 scarves are at least 66 centimeters but less than 99 centimeters.", "answer": "23", "table": "**Scarf lengths (centimeters)**\n\n| Stem | Leaf |\n| --- | --- |\n| 6 | 9 |\n| 7 | 1, 1, 3, 3, 3, 3, 7, 7, 8, 8 |\n| 8 | 0, 0, 0, 2, 2, 4, 6, 7, 8, 8, 8 |\n| 9 | 0 |" } ] }, { "id": "20571", "image": "20571.png", "conversations": [ { "from": "human", "question": "An online video game marketplace held a weekend sale. The games sold on Saturday are shown in the frequency chart. Players purchased another 310 games on Sunday. How many games were sold during the weekend sale?\n" }, { "from": "gpt", "solution": "Step 1: Find how many games were sold on Saturday.\nAdd all of the frequencies.\n157 + 109 + 66 + 80 + 134 = 546\nSo, 546 games were sold on Saturday.\nStep 2: Find how many games were sold on Saturday and Sunday together.\n546 games were sold on Saturday, and 310 games were sold on Sunday. Add.\n546 + 310 = 856\nSo, 856 games were sold during the weekend sale.", "answer": "856", "table": "**Video games sold on Saturday**\n\n| Type | Frequency |\n| --- | --- |\n| action | 157 |\n| adventure | 109 |\n| puzzle | 66 |\n| racing | 80 |\n| strategy | 134 |" } ] }, { "id": "20572", "image": "20572.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which class begins at 9.15 A.M.? Ms. Lawrence's class\n" }, { "from": "gpt", "solution": "Find 9:15 A. M. on the schedule. Mr. Gupta's class begins at 9:15 A. M.", "answer": "Mr. Gupta's class", "table": "**Library schedule**\n\n| Class | Begin | End |\n| --- | --- | --- |\n| Mrs. Osborne's class | 8:20 A.M. | 8:55 A.M. |\n| Mr. Gupta's class | 9:15 A.M. | 10:00 A.M. |\n| Mr. Hoover's class | 10:20 A.M. | 10:40 A.M. |\n| Mrs. Avila's class | 10:45 A.M. | 11:40 A.M. |\n| Ms. Lawrence's class | 11:45 A.M. | 12:35 P.M. |\n| Ms. Keller's class | 12:40 P.M. | 1:30 P.M. |\n| Mrs. Sharma's class | 1:50 P.M. | 2:40 P.M. |" } ] }, { "id": "20573", "image": "20573.png", "conversations": [ { "from": "human", "question": "A pumpkin patch monitored the number of pumpkins sold each day. How many pumpkins in total did the pumpkin patch sell on Friday and Sunday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nFriday: 7,873\nSunday: 1,067\n\nNow add: 7,873 + 1,067 = 8,940.\n\nThe pumpkin patch sold 8,940 pumpkins on Friday and Sunday.", "answer": "8,940", "table": "**Pumpkins sold**\n\n| Day | Number of pumpkins |\n| --- | --- |\n| Friday | 7,873 |\n| Saturday | 1,106 |\n| Sunday | 1,067 |" } ] }, { "id": "20574", "image": "20574.png", "conversations": [ { "from": "human", "question": "Each bunch has 2 flowers. How many flowers are in 5 bunches?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 10 flowers in 5 bunches.", "answer": "10", "table": "| Number of bunches | Number of flowers |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | 6 |\n| 4 | 8 |\n| 5 | ? |" } ] }, { "id": "20590", "image": "20590.png", "conversations": [ { "from": "human", "question": "A zoologist counted the number of reptiles at each of the state's zoos. Are there more reptiles at the Eastern Zoo or the Northside Zoo?\n" }, { "from": "gpt", "solution": "Add the numbers in the Eastern Zoo row. Then, add the numbers in the Northside Zoo row.\n\nEastern Zoo: 14 + 5 = 19\nNorthside Zoo: 8 + 12 = 20\n\n20 is more than 19. There are more reptiles at the Northside Zoo.", "answer": "Northside Zoo", "table": "**Reptiles in zoos**\n\n| Zoo | Turtles | Lizards |\n| --- | --- | --- |\n| Northside Zoo | 8 | 12 |\n| Eastern Zoo | 14 | 5 |\n| Wilderness Zoo | 13 | 18 |\n| South Zoo | 5 | 7 |\n| Pacific Zoo | 13 | 15 |" } ] }, { "id": "20591", "image": "20591.png", "conversations": [ { "from": "human", "question": "Anna has $2.00. Does she have enough to buy a jar of tomato sauce and a bottle of hot sauce?\n" }, { "from": "gpt", "solution": "Add the price of a jar of tomato sauce and the price of a bottle of hot sauce:\n\n$0.94 + $0.85 = $1.79\n\n$1.79 is less than $2.00. Anna does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| bottle of vinegar | $0.81 |\n| jar of tomato sauce | $0.94 |\n| jar of salsa | $0.95 |\n| bottle of hot sauce | $0.85 |\n| bottle of soy sauce | $0.84 |\n| bottle of mustard | $0.79 |" } ] }, { "id": "20601", "image": "20601.png", "conversations": [ { "from": "human", "question": "This is Sandra's complete financial record for December. How much money did Sandra spend on December 29?\n" }, { "from": "gpt", "solution": "Look at the 12/29 row. The expenses were $7.80. So, Sandra spent $7.80 on December 29.\n", "answer": "7.80", "table": "| Date | Description | Received | Expenses | Available Funds |\n| --- | --- | --- | --- | --- |\n| | Balance: end of November | | | $328.20 |\n| 12/5 | wrapping paper | | $4.95 | $323.25 |\n| 12/16 | watching Ms. Bowen's cat | $15.00 | | $338.25 |\n| 12/29 | calendar | | $7.80 | $330.45 |" } ] }, { "id": "20606", "image": "20606.png", "conversations": [ { "from": "human", "question": "At Bloomington Consulting, the head of human resources examined how the number of employees with health care benefits varied in response to policy changes. According to the table, what was the rate of change between 2014 and 2015?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{22 employees - 23 employees}{2015 - 2014}\n = \\frac{22 employees - 23 employees}{1 year}\n = \\frac{-1 employees}{1 year}\n = -1 employees per year\nThe rate of change between 2014 and 2015 was - 1 employees per year.", "answer": "-1", "table": "**Employees with health care benefits**\n\n| Year | Employees |\n| --- | --- |\n| 2012 | 21 |\n| 2013 | 21 |\n| 2014 | 23 |\n| 2015 | 22 |\n| 2016 | 37 |" } ] }, { "id": "20608", "image": "20608.png", "conversations": [ { "from": "human", "question": "A pretzel stand owner kept track of the number of pretzels sold during the past 3 days. How many more pretzels did the stand sell on Friday than on Sunday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nFriday: 678\nSunday: 476\n\nNow subtract: 678 - 476 = 202.\n\nThe stand sold 202 more pretzels on Friday.", "answer": "202", "table": "**Pretzels sold**\n\n| Day | Number of pretzels |\n| --- | --- |\n| Friday | 678 |\n| Saturday | 364 |\n| Sunday | 476 |" } ] }, { "id": "20609", "image": "20609.png", "conversations": [ { "from": "human", "question": "A toy store employee counted the number of toys in each bin in the sale section. What is the smallest number of toys?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 4.\n\nNow find the lowest leaf in the first row. The lowest leaf is 5.\n\nThe smallest number of toys has a stem of 4 and a leaf of 5. Write the stem first, then the leaf: 45.\n\nThe smallest number of toys is 45 toys.", "answer": "45", "table": "**Toys per bin**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 5, 9 |\n| 5 | 1, 7, 8 |\n| 6 | 1, 1, 4, 9 |\n| 7 | 0, 1, 1, 2, 4, 5 |\n| 8 | 0, 0, 2, 3, 6, 8 |\n| 9 | 0 |" } ] }, { "id": "20610", "image": "20610.png", "conversations": [ { "from": "human", "question": "Brad has $0.10. Does he have enough to buy a pearl bead and a shiny red bead?\n" }, { "from": "gpt", "solution": "Add the price of a pearl bead and the price of a shiny red bead:\n\n$0.07 + $0.04 = $0.11\n\n$0.11 is more than $0.10. Brad does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| shiny red bead | $0.04 |\n| orange and yellow striped bead | $0.02 |\n| pink striped glass bead | $0.04 |\n| pearl bead | $0.07 |" } ] }, { "id": "20611", "image": "20611.png", "conversations": [ { "from": "human", "question": "A vendor who sold bread at farmers' markets counted the number of leftover loaves at the end of each day. According to the table, what was the rate of change between Wednesday and Thursday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{25 loaves - 21 loaves}{1 day}\n = \\frac{4 loaves}{1 day}\n = 4 loaves per day\nThe rate of change between Wednesday and Thursday was 4 loaves per day.", "answer": "4", "table": "**Loaves of leftover bread**\n\n| Day | Leftover loaves |\n| --- | --- |\n| Monday | 25 |\n| Tuesday | 24 |\n| Wednesday | 21 |\n| Thursday | 25 |\n| Friday | 24 |" } ] }, { "id": "20615", "image": "20615.png", "conversations": [ { "from": "human", "question": "A marketing research firm asked people how many times they visited the mall last month. How many people went to the mall twice last month?\n" }, { "from": "gpt", "solution": "Find the row for 2 times and read the frequency. The frequency is 11.\n\n11 people went to the mall exactly twice last month.", "answer": "11", "table": "**Trips to the mall last month**\n\n| Number of trips | Frequency |\n| --- | --- |\n| 0 | 10 |\n| 1 | 7 |\n| 2 | 11 |\n| 3 | 20 |\n| 4 | 9 |\n| 5 | 5 |\n| 6 | 15 |" } ] }, { "id": "20617", "image": "20617.png", "conversations": [ { "from": "human", "question": "How much money does Bridgette need to buy 4 silver coat racks?\n" }, { "from": "gpt", "solution": "Find the total cost of 4 silver coat racks by multiplying 4 times the price of a silver coat rack.\n\n$848 × 4 = $3,392\n\nBridgette needs $3,392.", "answer": "3,392", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| grandfather clock | $748 |\n| silver coat rack | $848 |\n| crystal sculpture | $508 |\n| rug | $233 |\n| oil painting | $164 |" } ] }, { "id": "20628", "image": "20628.png", "conversations": [ { "from": "human", "question": "Justin went to the store. He bought 3.4 pounds of cream cheese. How much did he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the cream cheese. Multiply the price per pound by the number of pounds.\n$2 × 3.4 = $6.80\nHe spent $6.80.", "answer": "6.80", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| cream cheese | $2 per lb |\n| cottage cheese | $5 per lb |\n| butter | $2 per lb |\n| plain yogurt | $4 per lb |\n| Greek yogurt | $2 per lb |" } ] }, { "id": "20629", "image": "20629.png", "conversations": [ { "from": "human", "question": "Several students participated in a race. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n23, 21, 35, 13, 23\n\nFirst, find the greatest number. The greatest number is 35.\n\nNext, find the least number. The least number is 13.\n\nSubtract the least number from the greatest number:\n\n35 − 13 = 22\n\nThe range is 22.", "answer": "22", "table": "**Race results**\n\n| Runner | Time (minutes) |\n| --- | --- |\n| Roxanne | 23 |\n| Edward | 21 |\n| Carly | 35 |\n| Bryan | 13 |\n| Franco | 23 |" } ] }, { "id": "20633", "image": "20633.png", "conversations": [ { "from": "human", "question": "Haley's classmates revealed how many science articles they read. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n3, 7, 9, 9, 9, 7, 3\n\nFirst, arrange the numbers from least to greatest:\n\n3, 3, 7, 7, 9, 9, 9\n\nNow count how many times each number appears.\n\n3 appears 2 times.\n7 appears 2 times.\n9 appears 3 times.\n\nThe number that appears most often is 9.\n\nThe mode is 9.", "answer": "9", "table": "**Science articles read**\n\n| Name | Number of science articles |\n| --- | --- |\n| Haley | 3 |\n| Barry | 7 |\n| Florence | 9 |\n| Pam | 9 |\n| Karen | 9 |\n| Ethan | 7 |\n| Vijay | 3 |" } ] }, { "id": "20635", "image": "20635.png", "conversations": [ { "from": "human", "question": "A pair of Sullivan High School hockey fans counted the number of games won by the school each year. According to the table, what was the rate of change between 2011 and 2012?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{5 games - 7 games}{2012 - 2011}\n = \\frac{5 games - 7 games}{1 year}\n = \\frac{-2 games}{1 year}\n = -2 games per year\nThe rate of change between 2011 and 2012 was - 2 games per year.", "answer": "-2", "table": "**Hockey games won by Sullivan High**\n\n| Year | Games won |\n| --- | --- |\n| 2011 | 7 |\n| 2012 | 5 |\n| 2013 | 1 |\n| 2014 | 16 |\n| 2015 | 9 |" } ] }, { "id": "20640", "image": "20640.png", "conversations": [ { "from": "human", "question": "The owner of an orchard kept records about how many apples were picked in the past 4 days. On which day were the most apples picked?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 999.\n\nNow find the corresponding day. Wednesday corresponds to 999.", "answer": "Wednesday", "table": "**Apples picked**\n\n| Day | Number of apples |\n| --- | --- |\n| Tuesday | 954 |\n| Wednesday | 999 |\n| Thursday | 959 |\n| Friday | 945 |" } ] }, { "id": "20643", "image": "20643.png", "conversations": [ { "from": "human", "question": "The receptionist at a doctor's office kept track of each patient's wait time. How many people waited for less than 74 minutes?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1, 2, 3, 4, 5, and 6.\n\nIn the row with stem 7, count all the leaves less than 4.\n\nYou counted 6 leaves, which are blue in the stem-and-leaf plots above. 6 people waited for less than 74 minutes.", "answer": "6", "table": "**Doctor's office wait times (minutes)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 3 |\n| 2 | 8, 8 |\n| 3 | |\n| 4 | 2 |\n| 5 | 5, 9 |\n| 6 | |\n| 7 | 6 |\n| 8 | 0 |\n| 9 | 0 |" } ] }, { "id": "20644", "image": "20644.png", "conversations": [ { "from": "human", "question": "A video store clerk looked up the number of movies checked out each day. How many more movies were checked out on Wednesday than on Tuesday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nWednesday: 755\nTuesday: 196\n\nNow subtract: 755 - 196 = 559.\n\n559 more movies were checked out on Wednesday.", "answer": "559", "table": "**Movies checked out**\n\n| Day | Number of movies |\n| --- | --- |\n| Monday | 481 |\n| Tuesday | 196 |\n| Wednesday | 755 |" } ] }, { "id": "20648", "image": "20648.png", "conversations": [ { "from": "human", "question": "A school administrator who was concerned about grade inflation looked over the number of straight-A students from year to year. According to the table, what was the rate of change between 2007 and 2008?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{41 students - 34 students}{2008 - 2007}\n = \\frac{41 students - 34 students}{1 year}\n = \\frac{7 students}{1 year}\n = 7 students per year\nThe rate of change between 2007 and 2008 was 7 students per year.", "answer": "7", "table": "**Straight-A students**\n\n| Year | Students |\n| --- | --- |\n| 2007 | 34 |\n| 2008 | 41 |\n| 2009 | 40 |\n| 2010 | 39 |\n| 2011 | 27 |" } ] }, { "id": "20655", "image": "20655.png", "conversations": [ { "from": "human", "question": "Ms. Harrison reported her students' scores on the most recent quiz. How many students scored at least 10 points?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1, 2, 3, 4, 5, 6, and 7.\n\nYou counted 21 leaves, which are blue in the stem-and-leaf plot above. 21 students scored at least 10 points.", "answer": "21", "table": "**Quiz scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 0, 1, 5, 7 |\n| 2 | 2 |\n| 3 | 2, 2, 6 |\n| 4 | 1, 3, 3 |\n| 5 | 0, 6 |\n| 6 | 0, 1, 2, 5, 7 |\n| 7 | 2, 4 |" } ] }, { "id": "20656", "image": "20656.png", "conversations": [ { "from": "human", "question": "How much more does a navy blue bath mat cost than a pillow?\n" }, { "from": "gpt", "solution": "Subtract the price of a pillow from the price of a navy blue bath mat.\n\n$17.00 - $10.44 = $6.56\n\nA navy blue bath mat costs $6.56 more than a pillow.", "answer": "6.56", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| navy blue bath mat | $17.00 |\n| quilt | $32.14 |\n| fleece blanket | $12.28 |\n| yellow bath towel | $19.01 |\n| pillow | $10.44 |" } ] }, { "id": "20659", "image": "20659.png", "conversations": [ { "from": "human", "question": "A concession stand worker at the movie theater looked up how many bags of popcorn were sold in the past 4 days. On which day did the movie theater sell the fewest bags of popcorn?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 114.\n\nNow find the corresponding day. Friday corresponds to 114.", "answer": "Friday", "table": "**Bags of popcorn sold**\n\n| Day | Number of bags of popcorn |\n| --- | --- |\n| Wednesday | 121 |\n| Thursday | 124 |\n| Friday | 114 |\n| Saturday | 148 |" } ] }, { "id": "20661", "image": "20661.png", "conversations": [ { "from": "human", "question": "A stock broker followed the stock prices of a certain set of companies. On Thursday, how much more did Watson and Partners's stock cost than Houston Sporting Goods's stock?\n" }, { "from": "gpt", "solution": "Find the Thursday column. Find the numbers in this column for Watson and Partners and Houston Sporting Goods.\n\nWatson and Partners: $20.00\nHouston Sporting Goods: $12.00\n\nNow subtract:\n\n$20.00 − $12.00 = $8.00\n\nOn Thursday Watson and Partners's stock cost $8 more than Houston Sporting Goods's stock.", "answer": "8", "table": "**Stock prices**\n\n| Company | Wednesday | Thursday |\n| --- | --- | --- |\n| Houston Sporting Goods | $6 | $12 |\n| Thompson Corporation | $6 | $18 |\n| Jonas Incorporated | $8 | $19 |\n| Watson and Partners | $7 | $20 |" } ] }, { "id": "20672", "image": "20672.png", "conversations": [ { "from": "human", "question": "Dr. Pratt, a zoo director, researched ticket prices at other zoos around the country. Of the zoos shown, which charges the most for a child ticket?\n" }, { "from": "gpt", "solution": "Look at the numbers in the Child column. Find the greatest number in this column.\n\nThe greatest number is $11.00, which is in the Bronx row. The Bronx Zoo charges the most for a child.", "answer": "Bronx", "table": "**Zoo ticket prices**\n\n| Zoo | Adult | Child |\n| --- | --- | --- |\n| Central Park | $10 | $5 |\n| Southern Nevada | $8 | $6 |\n| Central Florida | $11 | $7 |\n| Bronx | $15 | $11 |\n| Boise | $6 | $3 |" } ] }, { "id": "20675", "image": "20675.png", "conversations": [ { "from": "human", "question": "Mabel graphed the temperature at noon for 5 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n8, 6, 4, 5, 9\n\nFirst, find the greatest number. The greatest number is 9.\n\nNext, find the least number. The least number is 4.\n\nSubtract the least number from the greatest number:\n\n9 − 4 = 5\n\nThe range is 5.", "answer": "5", "table": "**Temperature at noon**\n\n| Day | Temperature (°C) |\n| --- | --- |\n| Tuesday | 8 |\n| Wednesday | 6 |\n| Thursday | 4 |\n| Friday | 5 |\n| Saturday | 9 |" } ] }, { "id": "20684", "image": "20684.png", "conversations": [ { "from": "human", "question": "Some teachers compared how many students are in their classes. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n14, 35, 17, 27, 31, 19\n\nFirst, find the greatest number. The greatest number is 35.\n\nNext, find the least number. The least number is 14.\n\nSubtract the least number from the greatest number:\n\n35 − 14 = 21\n\nThe range is 21.", "answer": "21", "table": "**Class size**\n\n| Teacher | Number of students |\n| --- | --- |\n| Mr. Watson | 14 |\n| Mr. Chen | 35 |\n| Mrs. Truman | 17 |\n| Miss Urban | 27 |\n| Ms. Hershfeld | 31 |\n| Mrs. King | 19 |" } ] }, { "id": "20693", "image": "20693.png", "conversations": [ { "from": "human", "question": "Jon's class recorded how many cans of food each student collected for their canned food drive. Together, how many cans of food did Jon and Marcy collect?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nJon: 644\nMarcy: 101\n\nNow add: 644 + 101 = 745.\n\nJon and Marcy collected 745 cans of food.", "answer": "745", "table": "**Cans of food collected**\n\n| Name | Number of cans of food |\n| --- | --- |\n| Will | 181 |\n| Jon | 644 |\n| Marcy | 101 |\n| Ernest | 181 |\n| Farid | 185 |" } ] }, { "id": "20700", "image": "20700.png", "conversations": [ { "from": "human", "question": "Each desk drawer has 10 envelopes. How many envelopes are in 6 desk drawers?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 60 envelopes in 6 desk drawers.", "answer": "60", "table": "| Number of desk drawers | Number of envelopes |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | 40 |\n| 5 | 50 |\n| 6 | ? |" } ] }, { "id": "20703", "image": "20703.png", "conversations": [ { "from": "human", "question": "At Hillsdale Consulting, the head of human resources examined how the number of employees with health care benefits varied in response to policy changes. According to the table, what was the rate of change between 2008 and 2009?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{40 employees - 37 employees}{2009 - 2008}\n = \\frac{40 employees - 37 employees}{1 year}\n = \\frac{3 employees}{1 year}\n = 3 employees per year\nThe rate of change between 2008 and 2009 was 3 employees per year.", "answer": "3", "table": "**Employees with health care benefits**\n\n| Year | Employees |\n| --- | --- |\n| 2006 | 43 |\n| 2007 | 40 |\n| 2008 | 37 |\n| 2009 | 40 |\n| 2010 | 39 |" } ] }, { "id": "20708", "image": "20708.png", "conversations": [ { "from": "human", "question": "A vendor who sold bread at farmers' markets counted the number of leftover loaves at the end of each day. According to the table, what was the rate of change between Tuesday and Wednesday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{27 loaves - 28 loaves}{1 day}\n = \\frac{-1 loaves}{1 day}\n = -1 loaves per day\nThe rate of change between Tuesday and Wednesday was - 1 loaves per day.", "answer": "-1", "table": "**Loaves of leftover bread**\n\n| Day | Leftover loaves |\n| --- | --- |\n| Tuesday | 28 |\n| Wednesday | 27 |\n| Thursday | 23 |\n| Friday | 20 |\n| Saturday | 21 |" } ] }, { "id": "20710", "image": "20710.png", "conversations": [ { "from": "human", "question": "Roy has $5.00. Does he have enough to buy a red sweater and a pair of white socks?\n" }, { "from": "gpt", "solution": "Add the price of a red sweater and the price of a pair of white socks:\n\n$6.00 + $1.00 = $7.00\n\n$7.00 is more than $5.00. Roy does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| red hat | $3.00 |\n| pair of white socks | $1.00 |\n| striped shirt | $8.00 |\n| red sweater | $6.00 |" } ] }, { "id": "20712", "image": "20712.png", "conversations": [ { "from": "human", "question": "In science class, Rosanne is learning about places with extreme temperatures. She learns that the highest temperature ever recorded was in Death Valley, California. She also learns that the lowest temperature ever recorded was in Vostok Station, Antarctica. The record-setting temperatures of the two locations are shown in the table. Which location's temperature was further from zero?\n" }, { "from": "gpt", "solution": "A positive number means the temperature was above zero. A negative number means the temperature was below zero.\nTo find which temperature was further from zero, use absolute value. Absolute value tells you how far a temperature is from zero.\nDeath Valley: |134| = 134\nVostok Station: |-128| = 128\nThe temperature of Death Valley was further from zero. It was 134 degrees above zero.", "answer": "Death Valley", "table": "| Location | Temperature (°F) |\n| --- | --- |\n| Death Valley | 134 |\n| Vostok Station | -128 |" } ] }, { "id": "20714", "image": "20714.png", "conversations": [ { "from": "human", "question": "How much money does Sophia need to buy 7 jet skis?\n" }, { "from": "gpt", "solution": "Find the total cost of 7 jet skis by multiplying 7 times the price of a jet ski.\n\n$8,143 × 7 = $57,001\n\nSophia needs $57,001.", "answer": "57,001", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| jet ski | $8,143 |\n| golf cart | $1,147 |\n| boxcar | $8,866 |\n| hang glider | $4,246 |\n| motorcycle | $9,807 |\n| speedboat | $3,539 |" } ] }, { "id": "20724", "image": "20724.png", "conversations": [ { "from": "human", "question": "At their family reunion, the Levin family recorded everyone's age. How many people are at least 60 years old?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 6, 7, and 8.\n\nYou counted 12 leaves, which are blue in the stem-and-leaf plot above. 12 people are at least 60 years old.", "answer": "12", "table": "**Ages**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 0, 5, 6, 9 |\n| 5 | 0, 0, 5, 6, 9 |\n| 6 | 3, 7, 8, 9 |\n| 7 | 2, 4, 8 |\n| 8 | 0, 0, 3, 4, 4 |" } ] }, { "id": "20727", "image": "20727.png", "conversations": [ { "from": "human", "question": "Curious about people's recycling behaviors, Perry put on some gloves and sifted through some recycling and trash bins. He kept count of the plastic type of each bottle and which bottles are properly dispensed. What is the probability that a randomly selected bottle is incorrectly placed and is made of plastic #4? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the bottle is incorrectly placed\" and B be the event \"the bottle is made of plastic #4\".\nTo find the probability that a bottle is incorrectly placed and is made of plastic #4, first identify the sample space and the event.\nThe outcomes in the sample space are the different bottles. Each bottle is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the bottle is incorrectly placed and is made of plastic #4\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the bottle is incorrectly placed and is made of plastic #4\", so look at the table to see how many bottles are incorrectly placed and are made of plastic #4.\nThe number of bottles that are incorrectly placed and are made of plastic #4 is 4.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of bottles.\n2 + 4 + 3 + 4 = 13\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{4}{13}\nThe probability that a bottle is incorrectly placed and is made of plastic #4 is \\frac{4}{13}.", "answer": "4/13", "table": "| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| | Plastic #2 | Plastic #4 |\n| Correctly placed | 2 | 3 |\n| Incorrectly placed | 4 | 4 |" } ] }, { "id": "20732", "image": "20732.png", "conversations": [ { "from": "human", "question": "A farmer recalled how many watermelons were harvested in the past 5 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n15, 17, 26, 10, 21\n\nFirst, arrange the numbers from least to greatest:\n\n10, 15, 17, 21, 26\n\nNow find the number in the middle.\n\n10, 15, 17, 21, 26\n\nThe number in the middle is 17.\n\nThe median is 17.", "answer": "17", "table": "**Watermelons harvested**\n\n| Day | Number of watermelons |\n| --- | --- |\n| Saturday | 15 |\n| Sunday | 17 |\n| Monday | 26 |\n| Tuesday | 10 |\n| Wednesday | 21 |" } ] }, { "id": "20740", "image": "20740.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which class begins at 12.30 P.M.?\n" }, { "from": "gpt", "solution": "Find 12:30 P. M. on the schedule. Advanced Typing class begins at 12:30 P. M.", "answer": "Advanced Typing class", "table": "**Computer lab schedule**\n\n| Class | Begin | End |\n| --- | --- | --- |\n| Advanced Programming | 10:00 A.M. | 10:30 A.M. |\n| Computer Finance | 10:40 A.M. | 11:25 A.M. |\n| Math with Computers | 11:40 A.M. | 12:15 P.M. |\n| Advanced Typing | 12:30 P.M. | 2:10 P.M. |\n| Spreadsheets | 2:15 P.M. | 2:50 P.M. |\n| Computer Science | 3:00 P.M. | 3:55 P.M. |\n| Web Page Design | 4:10 P.M. | 4:40 P.M. |" } ] }, { "id": "20745", "image": "20745.png", "conversations": [ { "from": "human", "question": "An administrator at the Department of Motor Vehicles (DMV) tracked the average wait time from month to month. According to the table, what was the rate of change between July and August?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{44 minutes - 25 minutes}{1 month}\n = \\frac{19 minutes}{1 month}\n = 19 minutes per month\nThe rate of change between July and August was 19 minutes per month.", "answer": "19", "table": "**Average waiting time at the DMV**\n\n| Month | Waiting time (minutes) |\n| --- | --- |\n| April | 16 |\n| May | 6 |\n| June | 37 |\n| July | 25 |\n| August | 44 |" } ] }, { "id": "20756", "image": "20756.png", "conversations": [ { "from": "human", "question": "If Lauren buys 4 kilograms of soybean oil, how much will she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the soybean oil. Multiply the price per kilogram by the number of kilograms.\n\n$2 × 4 = $8\n\nShe will spend $8.", "answer": "8", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| sunflower seed oil | $2 per kilogram |\n| olive oil | $3 per kilogram |\n| soybean oil | $2 per kilogram |\n| vegetable oil | $3 per kilogram |" } ] }, { "id": "20759", "image": "20759.png", "conversations": [ { "from": "human", "question": "Each bunch has 10 balloons. How many balloons are in 4 bunches?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 40 balloons in 4 bunches.", "answer": "40", "table": "| Number of bunches | Number of balloons |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | ? |" } ] }, { "id": "20766", "image": "20766.png", "conversations": [ { "from": "human", "question": "The teachers at a middle school counted how many computers they had in their classrooms. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n4, 8, 10, 5, 7\n\nFirst, arrange the numbers from least to greatest:\n\n4, 5, 7, 8, 10\n\nNow find the number in the middle.\n\n4, 5, 7, 8, 10\n\nThe number in the middle is 7.\n\nThe median is 7.", "answer": "7", "table": "**Computers in classrooms**\n\n| Teacher | Number of computers |\n| --- | --- |\n| Mrs. Tan | 4 |\n| Mrs. Jansen | 8 |\n| Mr. Watson | 10 |\n| Ms. Rojas | 5 |\n| Mr. Morales | 7 |" } ] }, { "id": "20767", "image": "20767.png", "conversations": [ { "from": "human", "question": "Sadie, a journalism student, counted the number of pages in several major magazines. What is the smallest number of pages?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 2.\n\nNow find the lowest leaf in the first row. The lowest leaf is 1.\n\nThe smallest number of pages has a stem of 2 and a leaf of 1. Write the stem first, then the leaf: 21.\n\nThe smallest number of pages is 21 pages.", "answer": "21", "table": "**Pages per magazine**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 1 |\n| 3 | 5, 6 |\n| 4 | 2, 2, 9 |\n| 5 | 3, 3, 8, 9 |" } ] }, { "id": "20769", "image": "20769.png", "conversations": [ { "from": "human", "question": "How much money does Wayne need to buy 2 hockey tickets and 4 tennis tickets?\n" }, { "from": "gpt", "solution": "Find the cost of 2 hockey tickets.\n\n$98 × 2 = $196\n\nFind the cost of 4 tennis tickets.\n\n$15 × 4 = $60\n\nNow find the total cost.\n\n$196 + $60 = $256\n\nWayne needs $256.", "answer": "256", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| tennis ticket | $15 |\n| hockey ticket | $98 |\n| golf ticket | $66 |\n| football ticket | $73 |" } ] }, { "id": "20785", "image": "20785.png", "conversations": [ { "from": "human", "question": "The houses in Lola's town get their water from a local reservoir. Lola and a group of engineers monitor the water level for safety and health reasons. The change in water level over two months is shown in the table. During which month did the water level change more?\n" }, { "from": "gpt", "solution": "A positive change means the water level went up. A negative change means the water level went down.\nTo find the month the water level changed more, use absolute value. Absolute value tells you how much the water level changed each month.\nApril: |-6| = 6\nMay: |4| = 4\nThe water level went down 6 inches in April, and it only went up 4 inches in May. The water level changed more in April.", "answer": "April", "table": "| Month | Change in water level (in.) |\n| --- | --- |\n| April | -6 |\n| May | 4 |" } ] }, { "id": "20796", "image": "20796.png", "conversations": [ { "from": "human", "question": "The gym teacher wrote down how many tennis balls his students hit in half an hour. Which student hit the fewest tennis balls?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 225.\n\nNow find the corresponding name. Max corresponds to 225.", "answer": "Max", "table": "**Hitting tennis balls**\n\n| Name | Number of tennis balls |\n| --- | --- |\n| Max | 225 |\n| Jerry | 245 |\n| Henry | 251 |\n| Britney | 241 |" } ] }, { "id": "20806", "image": "20806.png", "conversations": [ { "from": "human", "question": "The art museum kept records about how many visitors it had in the past 3 months. How many visitors in total did the museum have in October and November?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nOctober: 6,803\nNovember: 6,941\n\nNow add: 6,803 + 6,941 = 13,744.\n\nThe museum had 13,744 visitors in October and November.", "answer": "13,744", "table": "**Art museum visitors**\n\n| Month | Number of visitors |\n| --- | --- |\n| September | 8,399 |\n| October | 6,803 |\n| November | 6,941 |" } ] }, { "id": "20809", "image": "20809.png", "conversations": [ { "from": "human", "question": "A food magazine published a listing of local restaurant ratings. What is the lowest rating?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 1.\n\nNow find the lowest leaf in the first row. The lowest leaf is 0.\n\nThe lowest rating has a stem of 1 and a leaf of 0. Write the stem first, then the leaf: 10.\n\nThe lowest rating is 10 points.", "answer": "10", "table": "**Restaurant ratings**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 1, 1, 1, 2, 6, 8 |\n| 2 | 2, 3, 4, 5, 9, 9 |\n| 3 | 3, 4, 5, 7 |\n| 4 | 0, 4, 9 |\n| 5 | 0, 0 |" } ] }, { "id": "20815", "image": "20815.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does Spanish Literature class end?\n" }, { "from": "gpt", "solution": "Find Spanish Literature class on the schedule. Find the end time for Spanish Literature class.\n\nSpanish Literature: 11:55 A. M.", "answer": "11:55 A.M.", "table": "**Class schedule**\n\n| Subject | Begin | End |\n| --- | --- | --- |\n| Basketball | 8:10 A.M. | 9:20 A.M. |\n| Ancient Greek | 10:00 A.M. | 10:55 A.M. |\n| Spanish Literature | 11:20 A.M. | 11:55 A.M. |\n| Cell Biology | 12:15 P.M. | 1:05 P.M. |\n| Geometry | 1:45 P.M. | 2:40 P.M. |\n| Computer Programming | 3:10 P.M. | 3:55 P.M. |\n| Essay Writing | 4:30 P.M. | 5:30 P.M. |\n| Architecture | 5:45 P.M. | 6:35 P.M. |" } ] }, { "id": "20829", "image": "20829.png", "conversations": [ { "from": "human", "question": "Some students compared how many clubs they belong to. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n5, 7, 8, 6, 7, 7, 6, 7\n\nFirst, find the greatest number. The greatest number is 8.\n\nNext, find the least number. The least number is 5.\n\nSubtract the least number from the greatest number:\n\n8 − 5 = 3\n\nThe range is 3.", "answer": "3", "table": "**Clubs**\n\n| Name | Number of clubs |\n| --- | --- |\n| Judy | 5 |\n| Leo | 7 |\n| Harry | 8 |\n| Susan | 6 |\n| Kathleen | 7 |\n| Bella | 7 |\n| Porter | 6 |\n| Rhianna | 7 |" } ] }, { "id": "20831", "image": "20831.png", "conversations": [ { "from": "human", "question": "A pumpkin patch monitored the number of pumpkins sold each day. On which day did the pumpkin patch sell the fewest pumpkins?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 934.\n\nNow find the corresponding day. Monday corresponds to 934.", "answer": "Monday", "table": "**Pumpkins sold**\n\n| Day | Number of pumpkins |\n| --- | --- |\n| Saturday | 949 |\n| Sunday | 943 |\n| Monday | 934 |\n| Tuesday | 992 |" } ] }, { "id": "20833", "image": "20833.png", "conversations": [ { "from": "human", "question": "For a math assignment, Henry researched the scores of the people competing on his favorite quiz show. How many people scored fewer than 70 points?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 2, 3, 4, 5, and 6.\n\nYou counted 7 leaves, which are blue in the stem-and-leaf plot above. 7 people scored fewer than 70 points.", "answer": "7", "table": "**Quiz show scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 0 |\n| 3 | 7 |\n| 4 | 5 |\n| 5 | 0 |\n| 6 | 1, 2, 5 |\n| 7 | 1 |\n| 8 | |\n| 9 | 0 |" } ] }, { "id": "20838", "image": "20838.png", "conversations": [ { "from": "human", "question": "The movie critic liked to count the number of actors in each movie he saw. What is the smallest number of actors?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 2.\n\nNow find the lowest leaf in the first row. The lowest leaf is 0.\n\nThe smallest number of actors has a stem of 2 and a leaf of 0. Write the stem first, then the leaf: 20.\n\nThe smallest number of actors is 20 actors.", "answer": "20", "table": "**Actors per movie**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 0, 1, 2, 3, 8, 9 |\n| 3 | 0, 2, 4, 4, 5, 7, 7, 8 |\n| 4 | 3, 3, 4, 4, 6, 7, 8 |\n| 5 | 0, 0, 1, 4 |" } ] }, { "id": "20839", "image": "20839.png", "conversations": [ { "from": "human", "question": "Mr. King, a P.E. teacher, wrote down how much weight each of his students could lift. How many people lifted at least 40 pounds but less than 60 pounds?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 4 and 5.\n\nYou counted 15 leaves, which are blue in the stem-and-leaf plot above. 15 people lifted at least 40 pounds but less than 60 pounds.", "answer": "15", "table": "**Weight lifting results (lbs)**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 5, 5, 5, 7 |\n| 4 | 1, 2, 3, 4, 4, 5, 6, 6, 6, 7, 8, 9 |\n| 5 | 1, 7, 7 |\n| 6 | 6, 6, 7, 8, 8, 9 |" } ] }, { "id": "20841", "image": "20841.png", "conversations": [ { "from": "human", "question": "A baker wrote down how many pies she made in the past 7 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 7, 10, 8, 8, 9, 6\n\nFirst, find the greatest number. The greatest number is 10.\n\nNext, find the least number. The least number is 6.\n\nSubtract the least number from the greatest number:\n\n10 − 6 = 4\n\nThe range is 4.", "answer": "4", "table": "**Pies baked**\n\n| Day | Number of pies |\n| --- | --- |\n| Tuesday | 6 |\n| Wednesday | 7 |\n| Thursday | 10 |\n| Friday | 8 |\n| Saturday | 8 |\n| Sunday | 9 |\n| Monday | 6 |" } ] }, { "id": "20844", "image": "20844.png", "conversations": [ { "from": "human", "question": "An adventure tour company found out how many whales people saw on its most popular whale tour. How many people saw exactly 6 whales?\n" }, { "from": "gpt", "solution": "Find the row for 6 whales and read the frequency. The frequency is 2.\n\n2 people saw exactly 6 whales.", "answer": "2", "table": "**Whale watching**\n\n| Whales spotted | Frequency |\n| --- | --- |\n| 0 | 1 |\n| 1 | 18 |\n| 2 | 20 |\n| 3 | 8 |\n| 4 | 0 |\n| 5 | 17 |\n| 6 | 2 |" } ] }, { "id": "20845", "image": "20845.png", "conversations": [ { "from": "human", "question": "Akira has $1,387.00. Does she have enough to buy a snowmobile and a sailboat?\n" }, { "from": "gpt", "solution": "Add the price of a snowmobile and the price of a sailboat:\n\n$767.00 + $622.00 = $1,389.00\n\n$1,389.00 is more than $1,387.00. Akira does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| canoe | $748.00 |\n| sailboat | $622.00 |\n| motorcycle | $594.00 |\n| snowmobile | $767.00 |" } ] }, { "id": "20848", "image": "20848.png", "conversations": [ { "from": "human", "question": "Chloe has $7,949.00. Does she have enough to buy a painting signed by a famous artist and a bat signed by a famous baseball player?\n" }, { "from": "gpt", "solution": "Add the price of a painting signed by a famous artist and the price of a bat signed by a famous baseball player:\n\n$1,914.00 + $6,338.00 = $8,252.00\n\n$8,252.00 is more than $7,949.00. Chloe does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| shirt signed by a famous soccer player | $1,906.00 |\n| painting signed by a famous artist | $1,914.00 |\n| bat signed by a famous baseball player | $6,338.00 |\n| photograph signed by a famous television star | $4,057.00 |\n| jersey signed by a famous basketball player | $3,096.00 |" } ] }, { "id": "20849", "image": "20849.png", "conversations": [ { "from": "human", "question": "A food magazine published a listing of local restaurant ratings. How many restaurants were rated exactly 41 points?\n" }, { "from": "gpt", "solution": "For the number 41, the stem is 4, and the leaf is 1. Find the row where the stem is 4. In that row, count all the leaves equal to 1.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 restaurants were rated exactly 41 points.", "answer": "4", "table": "**Restaurant ratings**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1, 5, 5, 6 |\n| 2 | 0, 8 |\n| 3 | 0, 0, 6, 9 |\n| 4 | 1, 1, 1, 1, 8 |\n| 5 | 0 |" } ] }, { "id": "20856", "image": "20856.png", "conversations": [ { "from": "human", "question": "Jayce purchased 4 kilograms of duck. What was the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the duck. Multiply the price per kilogram by the number of kilograms.\n\n$4 × 4 = $16\n\nThe total cost was $16.", "answer": "16", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| chicken | $4/kilogram |\n| duck | $4/kilogram |\n| pork | $3/kilogram |\n| ham | $4/kilogram |" } ] }, { "id": "20871", "image": "20871.png", "conversations": [ { "from": "human", "question": "Gavin counted the number of pieces of pepperoni on each pizza he made. How many pizzas had fewer than 46 pieces of pepperoni?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1, 2, and 3.\n\nIn the row with stem 4, count all the leaves less than 6.\n\nYou counted 14 leaves, which are blue in the stem-and-leaf plots above. 14 pizzas had fewer than 46 pieces of pepperoni.", "answer": "14", "table": "**Pieces of pepperoni per pizza**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 8 |\n| 2 | 0, 4 |\n| 3 | 0, 1, 3, 3, 3, 4, 7, 7, 9 |\n| 4 | 3, 7 |" } ] }, { "id": "20873", "image": "20873.png", "conversations": [ { "from": "human", "question": "The soccer coach is preparing for the upcoming season by seeing how many goals his team members scored last season. How many team members scored at least 1 goal last season?\n" }, { "from": "gpt", "solution": "Find the rows for 1, 2, 3, and 4 goals last season. Add the frequencies for these rows.\n\nAdd:\n\n12 + 11 + 8 + 19 = 50\n\n50 team members scored at least 1 goal last season.", "answer": "50", "table": "**Soccer goals last season**\n\n| Goals scored | Frequency |\n| --- | --- |\n| 0 | 20 |\n| 1 | 12 |\n| 2 | 11 |\n| 3 | 8 |\n| 4 | 19 |" } ] }, { "id": "20877", "image": "20877.png", "conversations": [ { "from": "human", "question": "Some friends compared the sizes of their sticker collections. Who has the fewest stickers?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 219.\n\nNow find the corresponding name. Darrell corresponds to 219.", "answer": "Darrell", "table": "**Sticker collections**\n\n| Name | Number of stickers |\n| --- | --- |\n| Mitch | 232 |\n| Nolan | 221 |\n| Darrell | 219 |\n| Grace | 231 |" } ] }, { "id": "20879", "image": "20879.png", "conversations": [ { "from": "human", "question": "Some friends compared the sizes of their sticker collections. How many more stickers does Colin have than Wanda?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nColin: 8,054\nWanda: 1,963\n\nNow subtract: 8,054 - 1,963 = 6,091.\n\nColin has 6,091 more stickers.", "answer": "6,091", "table": "**Sticker collections**\n\n| Name | Number of stickers |\n| --- | --- |\n| Wanda | 1,963 |\n| Alexis | 5,902 |\n| Jared | 3,187 |\n| Colin | 8,054 |" } ] }, { "id": "20880", "image": "20880.png", "conversations": [ { "from": "human", "question": "Each closet has 2 raincoats. How many raincoats are in 6 closets?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 12 raincoats in 6 closets.", "answer": "12", "table": "| Number of closets | Number of raincoats |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | 6 |\n| 4 | 8 |\n| 5 | 10 |\n| 6 | ? |" } ] }, { "id": "20882", "image": "20882.png", "conversations": [ { "from": "human", "question": "Danny jotted down how many baskets he made during basketball practice each day. On which day did Danny make the fewest baskets?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 70.\n\nNow find the corresponding day. Friday corresponds to 70.", "answer": "Friday", "table": "**Baskets made**\n\n| Day | Number of baskets |\n| --- | --- |\n| Wednesday | 71 |\n| Thursday | 72 |\n| Friday | 70 |\n| Saturday | 78 |" } ] }, { "id": "20884", "image": "20884.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $760, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $760, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $580 | 20,600 | 1,100 |\n| $670 | 16,600 | 5,000 |\n| $760 | 12,600 | 8,900 |\n| $850 | 8,600 | 12,800 |\n| $940 | 4,600 | 16,700 |" } ] }, { "id": "20885", "image": "20885.png", "conversations": [ { "from": "human", "question": "Kylie spent a week at the beach and recorded the number of shells she found each day. According to the table, what was the rate of change between Thursday and Friday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{0 shells - 7 shells}{1 day}\n = \\frac{-7 shells}{1 day}\n = -7 shells per day\nThe rate of change between Thursday and Friday was - 7 shells per day.", "answer": "-7", "table": "**Shells Kylie found**\n\n| Day | Number of shells |\n| --- | --- |\n| Monday | 6 |\n| Tuesday | 1 |\n| Wednesday | 3 |\n| Thursday | 7 |\n| Friday | 0 |" } ] }, { "id": "20890", "image": "20890.png", "conversations": [ { "from": "human", "question": "Professor Harrell released the results of yesterday's pop quiz. How many students scored fewer than 63 points?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1, 2, 3, 4, and 5.\n\nIn the row with stem 6, count all the leaves less than 3.\n\nYou counted 17 leaves, which are blue in the stem-and-leaf plots above. 17 students scored fewer than 63 points.", "answer": "17", "table": "**Pop quiz scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 2, 2, 5, 7 |\n| 2 | 1, 3 |\n| 3 | 1, 2, 2, 3, 8 |\n| 4 | 6, 6, 7 |\n| 5 | 0, 8 |\n| 6 | 1 |\n| 7 | 5 |\n| 8 | 5 |" } ] }, { "id": "20891", "image": "20891.png", "conversations": [ { "from": "human", "question": "Each package has 10 pens. How many pens are in 4 packages?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 40 pens in 4 packages.", "answer": "40", "table": "| Number of packages | Number of pens |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | ? |" } ] }, { "id": "20892", "image": "20892.png", "conversations": [ { "from": "human", "question": "Mr. Livingston, the marine biology teacher, asked his students how many times they went to the beach last summer. How many students went to the beach more than 1 time?\n" }, { "from": "gpt", "solution": "Find the rows for 2 and 3 times. Add the frequencies for these rows.\n\nAdd:\n\n8 + 19 = 27\n\n27 students went to the beach more than 1 time.", "answer": "27", "table": "**Trips to the beach last summer**\n\n| Number of trips | Frequency |\n| --- | --- |\n| 0 | 4 |\n| 1 | 0 |\n| 2 | 8 |\n| 3 | 19 |" } ] }, { "id": "20893", "image": "20893.png", "conversations": [ { "from": "human", "question": "Melissa kept track of the number of games her soccer team won each year. According to the table, what was the rate of change between 2019 and 2020?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{27 games - 50 games}{2020 - 2019}\n = \\frac{27 games - 50 games}{1 year}\n = \\frac{-23 games}{1 year}\n = -23 games per year\nThe rate of change between 2019 and 2020 was - 23 games per year.", "answer": "-23", "table": "**Games won by Melissa's soccer team**\n\n| Year | Games won |\n| --- | --- |\n| 2016 | 22 |\n| 2017 | 48 |\n| 2018 | 45 |\n| 2019 | 50 |\n| 2020 | 27 |" } ] }, { "id": "20898", "image": "20898.png", "conversations": [ { "from": "human", "question": "Garrett buys 0.8 pounds of Concorde pears. What is the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the Concorde pears. Multiply the price per pound by the number of pounds.\n$2 × 0.8 = $1.60\nThe total cost is $1.60.", "answer": "1.60", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| green Anjou pears | $1/lb |\n| red Anjou pears | $3/lb |\n| Bartlett pears | $4/lb |\n| Concorde pears | $2/lb |\n| Osband pears | $3/lb |\n| Bosc pears | $1/lb |" } ] }, { "id": "20909", "image": "20909.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which movie ends at 6.20 P.M.?\n" }, { "from": "gpt", "solution": "Find 6:20 P. M. on the schedule. Return to Tumbleweed City ends at 6:20 P. M.", "answer": "Return to Tumbleweed City", "table": "**Movie schedule**\n\n| Movie | Begin | End |\n| --- | --- | --- |\n| Two Funny Guys in a Big City | 7:50 A.M. | 10:50 A.M. |\n| A Mysterious Mystery | 10:20 A.M. | 11:55 A.M. |\n| Witches and Wizards on Broomsticks | 11:25 A.M. | 12:45 P.M. |\n| Time Traveler II | 12:10 P.M. | 1:50 P.M. |\n| Cartoon Penguin Adventure | 1:10 P.M. | 4:05 P.M. |\n| Aliens from Outer Space | 3:20 P.M. | 4:45 P.M. |\n| Return to Tumbleweed City | 3:50 P.M. | 6:20 P.M. |" } ] }, { "id": "20911", "image": "20911.png", "conversations": [ { "from": "human", "question": "Fernando has $29.50. Does he have enough to buy a coloring book and a crossword puzzle book?\n" }, { "from": "gpt", "solution": "Add the price of a coloring book and the price of a crossword puzzle book:\n\n$13.97 + $14.09 = $28.06\n\n$28.06 is less than $29.50. Fernando does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| geography book | $24.79 |\n| spelling workbook | $11.09 |\n| mystery novel | $22.11 |\n| crossword puzzle book | $14.09 |\n| coloring book | $13.97 |\n| science book | $14.43 |" } ] }, { "id": "20918", "image": "20918.png", "conversations": [ { "from": "human", "question": "How much more does a watermelon cost than a cucumber?\n" }, { "from": "gpt", "solution": "Subtract the price of a cucumber from the price of a watermelon.\n\n$4.64 - $1.47 = $3.17\n\nA watermelon costs $3.17 more than a cucumber.", "answer": "3.17", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| cucumber | $1.47 |\n| grapefruit | $1.05 |\n| yellow pepper | $1.04 |\n| red pepper | $1.07 |\n| watermelon | $4.64 |" } ] }, { "id": "20921", "image": "20921.png", "conversations": [ { "from": "human", "question": "The owner of a bed and breakfast inn recalled how many guests the inn had hosted each day. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 3, 3, 6, 6\n\nFirst, arrange the numbers from least to greatest:\n\n3, 3, 6, 6, 6\n\nNow count how many times each number appears.\n\n3 appears 2 times.\n6 appears 3 times.\n\nThe number that appears most often is 6.\n\nThe mode is 6.", "answer": "6", "table": "**Inn guests**\n\n| Day | Number of guests |\n| --- | --- |\n| Tuesday | 6 |\n| Wednesday | 3 |\n| Thursday | 3 |\n| Friday | 6 |\n| Saturday | 6 |" } ] }, { "id": "20934", "image": "20934.png", "conversations": [ { "from": "human", "question": "How much more does a CD signed by a famous band cost than a photograph signed by a famous race car driver?\n" }, { "from": "gpt", "solution": "Subtract the price of a photograph signed by a famous race car driver from the price of a CD signed by a famous band.\n\n$48 - $44 = $4\n\nA CD signed by a famous band costs $4 more than a photograph signed by a famous race car driver.", "answer": "4", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| bat signed by a famous baseball player | $75 |\n| jersey signed by a famous hockey player | $83 |\n| photograph signed by a famous singer | $78 |\n| CD signed by a famous band | $48 |\n| photograph signed by a famous race car driver | $44 |" } ] }, { "id": "20936", "image": "20936.png", "conversations": [ { "from": "human", "question": "For an assignment, Dave looked at which countries got the most Nobel Prizes in various decades. Which country had more Nobel Prize winners in the 1980s, Japan or Canada?\n" }, { "from": "gpt", "solution": "Find the 1980 s column. Compare the numbers in this column for Japan and Canada.\n\n3 is more than 2. Canada had more Nobel Prize winners in the 1980 s.", "answer": "Canada", "table": "**Nobel Prize winners**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 1970s | 1980s |\n| Russia | 5 | 1 |\n| Japan | 2 | 2 |\n| Canada | 2 | 3 |\n| Germany | 9 | 11 |\n| Italy | 2 | 3 |" } ] }, { "id": "20941", "image": "20941.png", "conversations": [ { "from": "human", "question": "The advertising agency counted the number of billboards in each city in the state. How many cities have exactly 35 billboards?\n" }, { "from": "gpt", "solution": "For the number 35, the stem is 3, and the leaf is 5. Find the row where the stem is 3. In that row, count all the leaves equal to 5.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 cities have exactly 35 billboards.", "answer": "4", "table": "**Billboards per city**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 2, 5, 6, 8 |\n| 2 | 1, 2, 5 |\n| 3 | 2, 5, 5, 5, 5, 7 |\n| 4 | 0, 1, 2 |\n| 5 | 0, 5 |\n| 6 | 3, 6 |\n| 7 | 3, 8 |\n| 8 | 0, 8, 9 |" } ] }, { "id": "20943", "image": "20943.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Layla is at the airport. If she wants to arrive at the art museum at 12.00 P.M., what time should she get on the bus?\n" }, { "from": "gpt", "solution": "Look at the row for the art museum. Find the bus that arrives at the art museum at 12:00 P. M.\n\nLook up the column until you find the row for the airport.\n\nLayla should get on the bus at 10:30 A. M.", "answer": "10:30 A.M.", "table": "**Hotel shuttle bus schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 | Column 5 |\n| --- | --- | --- | --- | --- |\n| college campus | 10:00 A.M. | 10:15 A.M. | 10:30 A.M. | 11:00 A.M. |\n| airport | 10:30 A.M. | 10:45 A.M. | 11:00 A.M. | 11:30 A.M. |\n| downtown | 10:45 A.M. | 11:00 A.M. | 11:15 A.M. | 11:45 A.M. |\n| boat docks | 11:00 A.M. | 11:15 A.M. | 11:30 A.M. | 12:00 P.M. |\n| pizza place | 11:15 A.M. | 11:30 A.M. | 11:45 A.M. | 12:15 P.M. |\n| art museum | 12:00 P.M. | 12:15 P.M. | 12:30 P.M. | 1:00 P.M. |\n| Main Street | 1:00 P.M. | 1:15 P.M. | 1:30 P.M. | 2:00 P.M. |" } ] }, { "id": "20947", "image": "20947.png", "conversations": [ { "from": "human", "question": "Becky is looking at the price of new cell phones online. Her favorite company, OrangeTech, has a special this weekend. Becky can add an upgrade to a phone for an additional cost, or she can buy a used phone to get a discount. The change in price for each option is shown in the table. Which option results in a greater change in price?\n" }, { "from": "gpt", "solution": "To find the option that results in a greater change in price, use absolute value. Absolute value tells you how much the price changes.\nAdd an upgrade: |$60| = $60\nBuy a used phone: |-$75| = $75\nBuying a used phone results in a greater change in price. It reduces the price by $75.", "answer": "buying a used phone", "table": "| Option | Change in phone price |\n| --- | --- |\n| Add an upgrade | $60 |\n| Buy a used phone | -$75 |" } ] }, { "id": "20950", "image": "20950.png", "conversations": [ { "from": "human", "question": "Each sheet has 2 stamps. How many stamps are on 6 sheets?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 12 stamps on 6 sheets.", "answer": "12", "table": "| Number of sheets | Number of stamps |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | 6 |\n| 4 | 8 |\n| 5 | 10 |\n| 6 | ? |" } ] }, { "id": "20961", "image": "20961.png", "conversations": [ { "from": "human", "question": "Mrs. Fischer polled her class to decide which flavors of popsicles to bring to the party on the last day of school. How many girls voted for grape popsicles?\n" }, { "from": "gpt", "solution": "First, find the row for grape. Then find the number in the Girls column.\n\nThis number is 7. 7 girls voted for grape popsicles.", "answer": "7", "table": "**Favorite popsicle flavors**\n\n| Popsicle flavor | Boys | Girls |\n| --- | --- | --- |\n| Orange | 13 | 17 |\n| Blue raspberry | 3 | 5 |\n| Lemon | 1 | 7 |\n| Grape | 14 | 7 |" } ] }, { "id": "20968", "image": "20968.png", "conversations": [ { "from": "human", "question": "The elementary school art teacher wrote down how many flower pots each child painted last week. How many children painted at least 1 flower pot?\n" }, { "from": "gpt", "solution": "Find the rows for 1, 2, and 3 flower pots. Add the frequencies for these rows.\n\nAdd:\n\n8 + 6 + 2 = 16\n\n16 children painted at least 1 flower pot.", "answer": "16", "table": "**Painting flower pots**\n\n| Flower pots painted | Frequency |\n| --- | --- |\n| 0 | 13 |\n| 1 | 8 |\n| 2 | 6 |\n| 3 | 2 |" } ] }, { "id": "20969", "image": "20969.png", "conversations": [ { "from": "human", "question": "Each laundry basket has 5 dresses. How many dresses are in 5 laundry baskets?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 25 dresses in 5 laundry baskets.", "answer": "25", "table": "| Number of laundry baskets | Number of dresses |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | 20 |\n| 5 | ? |" } ] }, { "id": "20974", "image": "20974.png", "conversations": [ { "from": "human", "question": "To better understand library usage patterns, a librarian figured out how many books were checked out by some patrons last year. How many patrons checked out exactly 4 books from the library?\n" }, { "from": "gpt", "solution": "Find the row for 4 books and read the frequency. The frequency is 12.\n\n12 patrons checked out exactly 4 books.", "answer": "12", "table": "**Checking out books from the library**\n\n| Books checked out | Frequency |\n| --- | --- |\n| 1 | 3 |\n| 2 | 0 |\n| 3 | 19 |\n| 4 | 12 |\n| 5 | 16 |" } ] }, { "id": "20975", "image": "20975.png", "conversations": [ { "from": "human", "question": "The town council reported on how many stop signs there are on each street. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 9, 2, 3, 3, 4, 4, 1\n\nFirst, count how many numbers are in the group.\n\nThere are 8 numbers.\n\nNow add all the numbers together:\n\n6 + 9 + 2 + 3 + 3 + 4 + 4 + 1 = 32\n\nNow divide the sum by the number of numbers:\n\n32 ÷ 8 = 4\n\nThe mean is 4.", "answer": "4", "table": "**Stop signs**\n\n| Street | Number of stop signs |\n| --- | --- |\n| Watson Street | 6 |\n| Marshall Street | 9 |\n| Irving Street | 2 |\n| Walker Street | 3 |\n| Spring Street | 3 |\n| Peabody Street | 4 |\n| Jackson Street | 4 |\n| Smith Street | 1 |" } ] }, { "id": "20979", "image": "20979.png", "conversations": [ { "from": "human", "question": "Estelle went to the store and bought 5 pounds of size 4 screws. How much did she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the size 4 screws. Multiply the price per pound by the number of pounds.\n\n$5.86 × 5 = $29.30\n\nShe spent $29.30.", "answer": "29.30", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| size 4 screws | $5.86/pound |\n| size 1 screws | $9.81/pound |\n| size 3 screws | $7.47/pound |\n| size 5 screws | $7.15/pound |\n| size 6 screws | $6.18/pound |\n| size 2 screws | $9.93/pound |" } ] }, { "id": "20981", "image": "20981.png", "conversations": [ { "from": "human", "question": "For a math project, students in Mrs. Swift's class recorded the number of pets that each student has. How many students are there in all?\n" }, { "from": "gpt", "solution": "Add the frequencies for each row.\n\nAdd:\n\n2 + 15 + 0 + 7 = 24\n\nThere are 24 students in all.", "answer": "24", "table": "**Pets**\n\n| Number of pets | Frequency |\n| --- | --- |\n| 0 | 2 |\n| 1 | 15 |\n| 2 | 0 |\n| 3 | 7 |" } ] }, { "id": "20984", "image": "20984.png", "conversations": [ { "from": "human", "question": "The school cafeteria asked students about their favorite sandwiches before updating the lunch menu. How many students voted for cheese sandwiches?\n" }, { "from": "gpt", "solution": "Find the row for cheese. Add the numbers in the Cheese row.\n\nAdd:\n\n5 + 1 = 6\n\n6 students voted for cheese sandwiches.", "answer": "6", "table": "**Favorite sandwiches**\n\n| Sandwich | Lower elementary students | Upper elementary students |\n| --- | --- | --- |\n| Egg salad | 16 | 5 |\n| Turkey | 11 | 8 |\n| Cheese | 5 | 1 |" } ] }, { "id": "21002", "image": "21002.png", "conversations": [ { "from": "human", "question": "Some students compared how many pets they have. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n8, 1, 3, 4, 7, 1, 10, 3\n\nFirst, find the greatest number. The greatest number is 10.\n\nNext, find the least number. The least number is 1.\n\nSubtract the least number from the greatest number:\n\n10 − 1 = 9\n\nThe range is 9.", "answer": "9", "table": "**Pets**\n\n| Name | Number of pets |\n| --- | --- |\n| Eddie | 8 |\n| Sophia | 1 |\n| Zoe | 3 |\n| Addison | 4 |\n| Noah | 7 |\n| Miranda | 1 |\n| Louis | 10 |\n| Bobby | 3 |" } ] }, { "id": "21007", "image": "21007.png", "conversations": [ { "from": "human", "question": "A hot dog stand kept track of the number of hot dogs sold each day. How many more hot dogs did the stand sell on Tuesday than on Friday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nTuesday: 393\nFriday: 105\n\nNow subtract: 393 - 105 = 288.\n\nThe stand sold 288 more hot dogs on Tuesday.", "answer": "288", "table": "**Hot dogs sold**\n\n| Day | Number of hot dogs |\n| --- | --- |\n| Tuesday | 393 |\n| Wednesday | 214 |\n| Thursday | 498 |\n| Friday | 105 |" } ] }, { "id": "21013", "image": "21013.png", "conversations": [ { "from": "human", "question": "Tim paid attention to how many flowers he planted in the garden during the past 5 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 5, 7, 7, 8\n\nFirst, find the greatest number. The greatest number is 8.\n\nNext, find the least number. The least number is 5.\n\nSubtract the least number from the greatest number:\n\n8 − 5 = 3\n\nThe range is 3.", "answer": "3", "table": "**Flowers plants**\n\n| Day | Number of flowers |\n| --- | --- |\n| Tuesday | 7 |\n| Wednesday | 5 |\n| Thursday | 7 |\n| Friday | 7 |\n| Saturday | 8 |" } ] }, { "id": "21023", "image": "21023.png", "conversations": [ { "from": "human", "question": "A sports fan decided to examine the pattern of medals won by certain countries at several Olympic games. In 1996, which of the countries shown won the fewest medals?\n" }, { "from": "gpt", "solution": "Look at the numbers in the 1996 column. Find the least number in this column.\n\nThe least number is 4, which is in the Finland row. In 1996, Finland won the fewest medals.", "answer": "Finland", "table": "**Olympic medals**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 1996 | 2000 |\n| Brazil | 15 | 12 |\n| Finland | 4 | 4 |\n| Sweden | 8 | 12 |" } ] }, { "id": "21024", "image": "21024.png", "conversations": [ { "from": "human", "question": "How much money does Beth need to buy a chocolate-chip cookie, a cupcake, and a blueberry muffin?\n" }, { "from": "gpt", "solution": "Find the total cost of a chocolate-chip cookie, a cupcake, and a blueberry muffin.\n\n$0.74 + $0.52 + $0.61 = $1.87\n\nBeth needs $1.87.", "answer": "1.87", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| ice cream cone | $0.91 |\n| muffin | $0.72 |\n| brownie | $0.51 |\n| chocolate-chip cookie | $0.74 |\n| cupcake | $0.52 |\n| blueberry muffin | $0.61 |" } ] }, { "id": "21031", "image": "21031.png", "conversations": [ { "from": "human", "question": "A game show viewer monitors how often a wheel numbered 1 through 5 stops at each number. How many people spun a number greater than 3?\n" }, { "from": "gpt", "solution": "Find the rows for 4 and 5. Add the frequencies for these rows.\n\nAdd:\n\n8 + 5 = 13\n\n13 people spun a number greater than 3.", "answer": "13", "table": "**Spinning a wheel numbered 1 through 5**\n\n| Number spun | Frequency |\n| --- | --- |\n| 1 | 9 |\n| 2 | 20 |\n| 3 | 13 |\n| 4 | 8 |\n| 5 | 5 |" } ] }, { "id": "21039", "image": "21039.png", "conversations": [ { "from": "human", "question": "Employees at Dale's Movies tracked the number of movies that customers rented last month. How many customers rented a movie at least 2 times?\n" }, { "from": "gpt", "solution": "Find the rows for 2, 3, 4, 5, and 6 times. Add the frequencies for these rows.\n\nAdd:\n\n16 + 15 + 10 + 11 + 0 = 52\n\n52 customers rented a movie at least 2 times.", "answer": "52", "table": "**Renting movies last month**\n\n| Number of times | Frequency |\n| --- | --- |\n| 0 | 2 |\n| 1 | 14 |\n| 2 | 16 |\n| 3 | 15 |\n| 4 | 10 |\n| 5 | 11 |\n| 6 | 0 |" } ] }, { "id": "21043", "image": "21043.png", "conversations": [ { "from": "human", "question": "Marie has $1.20. Does she have enough to buy a short steel screw and a small paintbrush?\n" }, { "from": "gpt", "solution": "Add the price of a short steel screw and the price of a small paintbrush:\n\n$0.27 + $0.93 = $1.20\n\nSince Marie has $1.20, she has just enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| small paintbrush | $0.93 |\n| elastic band | $0.89 |\n| brass clip | $0.21 |\n| short steel screw | $0.27 |\n| small metal hook | $0.18 |" } ] }, { "id": "21051", "image": "21051.png", "conversations": [ { "from": "human", "question": "How much money does Damon need to buy 6 magazines?\n" }, { "from": "gpt", "solution": "Find the total cost of 6 magazines by multiplying 6 times the price of a magazine.\n\n$1.89 × 6 = $11.34\n\nDamon needs $11.34.", "answer": "11.34", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| map of Canada | $9.08 |\n| book of crossword puzzles | $7.05 |\n| magazine | $1.89 |\n| map of the world | $3.06 |\n| book of piano music | $9.78 |" } ] }, { "id": "21059", "image": "21059.png", "conversations": [ { "from": "human", "question": "The players on a quiz show received the following scores. Who had the lowest score?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 41.\n\nNow find the corresponding name. Jennifer corresponds to 41.", "answer": "Jennifer", "table": "**Quiz show scores**\n\n| Name | Score |\n| --- | --- |\n| Layla | 49 |\n| Jennifer | 41 |\n| Isabella | 48 |\n| Deb | 43 |" } ] }, { "id": "21060", "image": "21060.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{10 - 20}{1 - 0}\n = \\frac{-10}{1}\n = -10\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{0 - 10}{2 - 1}\n = \\frac{-10}{1}\n = -10\nThe two rates of change are the same.\n10.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 0 | 20 |\n| 1 | 10 |\n| 2 | 0 |" } ] }, { "id": "21071", "image": "21071.png", "conversations": [ { "from": "human", "question": "Deb has $186. How much money will Deb have left if she buys a photograph signed by a famous race car driver and a DVD signed by a famous comedian?\n" }, { "from": "gpt", "solution": "Find the total cost of a photograph signed by a famous race car driver and a DVD signed by a famous comedian.\n\n$30 + $74 = $104\n\nNow subtract the total cost from the starting amount.\n\n$186 - $104 = $82\n\nDeb will have $82 left.", "answer": "82", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| ball signed by a famous football player | $81 |\n| book signed by a famous author | $17 |\n| photograph signed by a famous race car driver | $30 |\n| DVD signed by a famous comedian | $74 |\n| photograph signed by a famous television star | $77 |" } ] }, { "id": "21082", "image": "21082.png", "conversations": [ { "from": "human", "question": "A pet store owner had her staff count the number of fish in each tank. How many tanks have at least 28 fish?\n" }, { "from": "gpt", "solution": "Find the row with stem 2. Count all the leaves greater than or equal to 8.\n\nCount all the leaves in the rows with stems 3, 4, 5, 6, 7, and 8.\n\nYou counted 14 leaves, which are blue in the stem-and-leaf plots above. 14 tanks have at least 28 fish.", "answer": "14", "table": "**Fish per tank**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 5 |\n| 3 | 0, 4 |\n| 4 | 2, 8, 9 |\n| 5 | 5, 7 |\n| 6 | 4, 7 |\n| 7 | 1, 2, 5 |\n| 8 | 2, 6 |" } ] }, { "id": "21083", "image": "21083.png", "conversations": [ { "from": "human", "question": "A high school basketball coach counted the number of points her team scored each game. What is the largest number of points?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 9.\n\nNow find the highest leaf in the last row. The highest leaf is 0.\n\nThe largest number of points has a stem of 9 and a leaf of 0. Write the stem first, then the leaf: 90.\n\nThe largest number of points is 90 points.", "answer": "90", "table": "**Points per game**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 8, 9 |\n| 2 | 1, 9 |\n| 3 | 5 |\n| 4 | |\n| 5 | 4 |\n| 6 | 1 |\n| 7 | 6 |\n| 8 | 2, 2 |\n| 9 | 0 |" } ] }, { "id": "21084", "image": "21084.png", "conversations": [ { "from": "human", "question": "Curious about people's recycling behaviors, Laura put on some gloves and sifted through some recycling and trash bins. She kept count of the plastic type of each bottle and which bottles are properly dispensed. What is the probability that a randomly selected bottle is made of plastic #4 and is correctly placed? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the bottle is made of plastic #4\" and B be the event \"the bottle is correctly placed\".\nTo find the probability that a bottle is made of plastic #4 and is correctly placed, first identify the sample space and the event.\nThe outcomes in the sample space are the different bottles. Each bottle is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the bottle is made of plastic #4 and is correctly placed\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the bottle is made of plastic #4 and is correctly placed\", so look at the table to see how many bottles are made of plastic #4 and are correctly placed.\nThe number of bottles that are made of plastic #4 and are correctly placed is 8.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of bottles.\n3 + 8 + 4 + 4 = 19\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{8}{19}\nThe probability that a bottle is made of plastic #4 and is correctly placed is \\frac{8}{19}.", "answer": "8/19", "table": "| | Correctly placed | Incorrectly placed |\n| --- | --- | --- |\n| Plastic #2 | 3 | 4 |\n| Plastic #4 | 8 | 4 |" } ] }, { "id": "21093", "image": "21093.png", "conversations": [ { "from": "human", "question": "Rob buys 9/10 of a pound of calcite. What is the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the calcite. Multiply the price per pound by the number of pounds.\n$10 × \\frac{9}{10} = $10 × 0.9 = $9\nThe total cost is $9.", "answer": "9", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| fool's gold | $19/pound |\n| amethyst | $18/pound |\n| quartz | $16/pound |\n| calcite | $10/pound |\n| tiger's eye | $13/pound |\n| granite | $16/pound |\n| topaz | $18/pound |" } ] }, { "id": "21095", "image": "21095.png", "conversations": [ { "from": "human", "question": "Mabel likes watching the show Engineering Marvels. In last night's episode, the engineering team visited a tall skyscraper and a deep mine. A banner at the bottom of the screen showed the elevation of each location the team visited. Which location is closer to sea level?\n" }, { "from": "gpt", "solution": "The top of the skyscraper has a positive elevation, so it is above sea level. The bottom of the mine has a negative elevation, so it is below sea level.\nTo find the location closer to sea level, use absolute value. Absolute value tells you how far each location is from sea level.\nTop of the skyscraper: |275| = 275\nBottom of the mine: |-260| = 260\nThe top of the skyscraper is 275 meters above sea level, but the bottom of the mine is only260 meters below sea level. The bottom of the mine is closer to sea level.", "answer": "bottom of the mine", "table": "| Location | Elevation (m) |\n| --- | --- |\n| Top of the skyscraper | 275 |\n| Bottom of the mine | -260 |" } ] }, { "id": "21098", "image": "21098.png", "conversations": [ { "from": "human", "question": "If Irma buys 3+1/2 pounds of shredded wheat, how much will she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the shredded wheat. Multiply the price per pound by the number of pounds.\n$3 × 3\\frac{1}{2} = $3 × 3.5 = $10.50\nShe will spend $10.50.", "answer": "10.50", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| puffed wheat | $3/lb |\n| bran flakes | $6/lb |\n| granola | $4/lb |\n| muesli | $2/lb |\n| shredded wheat | $3/lb |" } ] }, { "id": "21102", "image": "21102.png", "conversations": [ { "from": "human", "question": "A creative writing class compiled a list of their favorite superheroes. They listed each superhero's superpower and personality flaw. What is the probability that a randomly selected superhero can read minds and is lazy? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the superhero can read minds\" and B be the event \"the superhero is lazy\".\nTo find the probability that a superhero can read minds and is lazy, first identify the sample space and the event.\nThe outcomes in the sample space are the different superheroes. Each superhero is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the superhero can read minds and is lazy\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the superhero can read minds and is lazy\", so look at the table to see how many superheroes can read minds and are lazy.\nThe number of superheroes who can read minds and are lazy is 1.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of superheroes.\n4 + 5 + 1 + 1 = 11\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{1}{11}\nThe probability that a superhero can read minds and is lazy is \\frac{1}{11}.", "answer": "1/11", "table": "| | Forgetful | Lazy |\n| --- | --- | --- |\n| Fly | 4 | 1 |\n| Read minds | 5 | 1 |" } ] }, { "id": "21111", "image": "21111.png", "conversations": [ { "from": "human", "question": "Mrs. Harper told students how many rounds to expect in the spelling bee based on previous years. According to the table, what was the rate of change between 2015 and 2016?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{15 rounds - 19 rounds}{2016 - 2015}\n = \\frac{15 rounds - 19 rounds}{1 year}\n = \\frac{-4 rounds}{1 year}\n = -4 rounds per year\nThe rate of change between 2015 and 2016 was - 4 rounds per year.", "answer": "-4", "table": "**Rounds in the spelling bee**\n\n| Year | Rounds |\n| --- | --- |\n| 2015 | 19 |\n| 2016 | 15 |\n| 2017 | 15 |\n| 2018 | 10 |\n| 2019 | 11 |" } ] }, { "id": "21118", "image": "21118.png", "conversations": [ { "from": "human", "question": "A hot dog stand kept track of the number of hot dogs sold each day. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n11, 18, 23, 21, 16, 28, 11\n\nFirst, arrange the numbers from least to greatest:\n\n11, 11, 16, 18, 21, 23, 28\n\nNow find the number in the middle.\n\n11, 11, 16, 18, 21, 23, 28\n\nThe number in the middle is 18.\n\nThe median is 18.", "answer": "18", "table": "**Hot dogs sold**\n\n| Day | Number of hot dogs |\n| --- | --- |\n| Saturday | 11 |\n| Sunday | 18 |\n| Monday | 23 |\n| Tuesday | 21 |\n| Wednesday | 16 |\n| Thursday | 28 |\n| Friday | 11 |" } ] }, { "id": "21130", "image": "21130.png", "conversations": [ { "from": "human", "question": "How much more does a ride on the Bumper Cars cost than a ride on the Speedy Coaster?\n" }, { "from": "gpt", "solution": "Subtract the price of a ride on the Speedy Coaster from the price of a ride on the Bumper Cars.\n\n$4.66 - $2.90 = $1.76\n\nA ride on the Bumper Cars costs $1.76 more than a ride on the Speedy Coaster.", "answer": "1.76", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| ride on the Big Drop | $1.47 |\n| ride on the Speedy Coaster | $2.90 |\n| ride on the Bumper Cars | $4.66 |\n| ride on Wild Raft River | $2.56 |" } ] }, { "id": "21131", "image": "21131.png", "conversations": [ { "from": "human", "question": "Evelyn counted the number of desks in each classroom at her school. What is the smallest number of desks?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 0.\n\nNow find the lowest leaf in the first row. The lowest leaf is 9.\n\nThe smallest number of desks has a stem of 0 and a leaf of 9. Write the stem first, then the leaf: 09.\n\nThe smallest number of desks is 9 desks.", "answer": "9", "table": "**Desks per classroom**\n\n| Stem | Leaf |\n| --- | --- |\n| 0 | 9 |\n| 1 | 1, 2, 9, 9 |\n| 2 | 0, 0, 0, 1, 1, 2, 2, 7 |\n| 3 | 1, 5, 6, 7, 8 |\n| 4 | 3, 4, 6, 6, 7, 8 |" } ] }, { "id": "21133", "image": "21133.png", "conversations": [ { "from": "human", "question": "Over a weekend, Ronald counted the number of single scoop ice creams ordered at his store. He tracked the flavors and the day on which it was ordered. What is the probability that a randomly selected ice cream was chocolate and was ordered on a Saturday? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the ice cream was chocolate\" and B be the event \"the ice cream was ordered on a Saturday\".\nTo find the probability that a ice cream was chocolate and was ordered on a Saturday, first identify the sample space and the event.\nThe outcomes in the sample space are the different ice creams. Each ice cream is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the ice cream was chocolate and was ordered on a Saturday\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the ice cream was chocolate and was ordered on a Saturday\", so look at the table to see how many ice creams were chocolate and were ordered on a Saturday.\nThe number of ice creams that were chocolate and were ordered on a Saturday is 2.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of ice creams.\n2 + 3 + 3 + 4 = 12\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{2}{12}\n = \\frac{1}{6}\nThe probability that a ice cream was chocolate and was ordered on a Saturday is \\frac{1}{6}.", "answer": "1/6", "table": "| | Saturday | Sunday |\n| --- | --- | --- |\n| Chocolate | 2 | 3 |\n| Vanilla | 3 | 4 |" } ] }, { "id": "21136", "image": "21136.png", "conversations": [ { "from": "human", "question": "A city monitored how many cars went through a certain intersection in the past 3 days. How many cars in total went through the intersection on Wednesday and Thursday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nWednesday: 1,346\nThursday: 4,680\n\nNow add: 1,346 + 4,680 = 6,026.\n\n6,026 cars went through the intersection on Wednesday and Thursday.", "answer": "6,026", "table": "**Cars at an intersection**\n\n| Day | Number of cars |\n| --- | --- |\n| Wednesday | 1,346 |\n| Thursday | 4,680 |\n| Friday | 3,242 |" } ] }, { "id": "21140", "image": "21140.png", "conversations": [ { "from": "human", "question": "Bryan buys 1/4 of a pound of honey roasted peanuts. How much does he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the honey roasted peanuts. Multiply the price per pound by the number of pounds.\n$3 × \\frac{1}{4} = $3 × 0.25 = $0.75\nHe spends $0.75.", "answer": "0.75", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| honey roasted peanuts | $3/lb |\n| unshelled peanuts | $1/lb |\n| garlic peanuts | $2/lb |\n| unsalted peanuts | $3/lb |\n| blanched peanuts | $3/lb |" } ] }, { "id": "21142", "image": "21142.png", "conversations": [ { "from": "human", "question": "A baker wrote down how many pies she made in the past 5 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n32, 32, 41, 25, 45\n\nFirst, find the greatest number. The greatest number is 45.\n\nNext, find the least number. The least number is 25.\n\nSubtract the least number from the greatest number:\n\n45 − 25 = 20\n\nThe range is 20.", "answer": "20", "table": "**Pies baked**\n\n| Day | Number of pies |\n| --- | --- |\n| Tuesday | 32 |\n| Wednesday | 32 |\n| Thursday | 41 |\n| Friday | 25 |\n| Saturday | 45 |" } ] }, { "id": "21143", "image": "21143.png", "conversations": [ { "from": "human", "question": "Maria kept a written log of how many miles she biked during the past 7 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 4, 8, 10, 6, 5, 10\n\nFirst, find the greatest number. The greatest number is 10.\n\nNext, find the least number. The least number is 4.\n\nSubtract the least number from the greatest number:\n\n10 − 4 = 6\n\nThe range is 6.", "answer": "6", "table": "**Miles biked**\n\n| Day | Number of miles |\n| --- | --- |\n| Friday | 7 |\n| Saturday | 4 |\n| Sunday | 8 |\n| Monday | 10 |\n| Tuesday | 6 |\n| Wednesday | 5 |\n| Thursday | 10 |" } ] }, { "id": "21144", "image": "21144.png", "conversations": [ { "from": "human", "question": "Larry jotted down how many minutes he spent practicing piano in the past 4 days. On which day did Larry practice the least?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 112.\n\nNow find the corresponding day. Sunday corresponds to 112.", "answer": "Sunday", "table": "**Minutes spent practicing**\n\n| Day | Minutes |\n| --- | --- |\n| Saturday | 172 |\n| Sunday | 112 |\n| Monday | 171 |\n| Tuesday | 127 |" } ] }, { "id": "21149", "image": "21149.png", "conversations": [ { "from": "human", "question": "Wendy counted the number of problems on each of her tests. How many tests had fewer than 90 problems?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1, 2, 3, 4, 5, 6, 7, and 8.\n\nYou counted 23 leaves, which are blue in the stem-and-leaf plot above. 23 tests had fewer than 90 problems.", "answer": "23", "table": "**Problems per test**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1, 1, 2, 7, 8 |\n| 2 | 0, 7 |\n| 3 | 0, 6, 9 |\n| 4 | 7, 7, 8, 8 |\n| 5 | 1, 9 |\n| 6 | |\n| 7 | 6, 8, 9 |\n| 8 | 0, 2, 6, 9 |\n| 9 | 0 |" } ] }, { "id": "21154", "image": "21154.png", "conversations": [ { "from": "human", "question": "Sofia wrote down how many pages she read over the past 4 days. On which day did Sofia read the fewest pages?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 119.\n\nNow find the corresponding day. Friday corresponds to 119.", "answer": "Friday", "table": "**Pages read**\n\n| Day | Number of pages |\n| --- | --- |\n| Wednesday | 165 |\n| Thursday | 156 |\n| Friday | 119 |\n| Saturday | 161 |" } ] }, { "id": "21157", "image": "21157.png", "conversations": [ { "from": "human", "question": "Mrs. Spencer told students how many rounds to expect in the spelling bee based on previous years. According to the table, what was the rate of change between 2012 and 2013?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{8 rounds - 7 rounds}{2013 - 2012}\n = \\frac{8 rounds - 7 rounds}{1 year}\n = \\frac{1 round}{1 year}\n = 1 round per year\nThe rate of change between 2012 and 2013 was 1 round per year.", "answer": "1", "table": "**Rounds in the spelling bee**\n\n| Year | Rounds |\n| --- | --- |\n| 2010 | 8 |\n| 2011 | 14 |\n| 2012 | 7 |\n| 2013 | 8 |\n| 2014 | 8 |" } ] }, { "id": "21158", "image": "21158.png", "conversations": [ { "from": "human", "question": "A real estate agent looked into how many houses were sold in different cities. Where were the fewest houses sold?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 31.\n\nNow find the corresponding city. Fremont corresponds to 31.", "answer": "Fremont", "table": "**House sales**\n\n| City | Number of houses sold |\n| --- | --- |\n| Briggs Corner | 35 |\n| New Hamburg | 36 |\n| Melville | 38 |\n| Fremont | 31 |" } ] }, { "id": "21159", "image": "21159.png", "conversations": [ { "from": "human", "question": "How much money does Quincy need to buy a coffee table and a kitchen table?\n" }, { "from": "gpt", "solution": "Add the price of a coffee table and the price of a kitchen table:\n\n$130 + $133 = $263\n\nQuincy needs $263.", "answer": "263", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| desk | $139 |\n| kitchen table | $133 |\n| leather chair | $433 |\n| coffee table | $130 |" } ] }, { "id": "21163", "image": "21163.png", "conversations": [ { "from": "human", "question": "The players on a quiz show received the following scores. Who had the lowest score?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 43.\n\nNow find the corresponding name. Patrick corresponds to 43.", "answer": "Patrick", "table": "**Quiz show scores**\n\n| Name | Score |\n| --- | --- |\n| Barbara | 48 |\n| Hanson | 45 |\n| Ezra | 46 |\n| Patrick | 43 |" } ] }, { "id": "21164", "image": "21164.png", "conversations": [ { "from": "human", "question": "Some friends discussed the sizes of their coin collections. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n5, 7, 9, 6, 7\n\nFirst, arrange the numbers from least to greatest:\n\n5, 6, 7, 7, 9\n\nNow find the number in the middle.\n\n5, 6, 7, 7, 9\n\nThe number in the middle is 7.\n\nThe median is 7.", "answer": "7", "table": "**Coin collections**\n\n| Name | Number of coins |\n| --- | --- |\n| Dillon | 5 |\n| Brody | 7 |\n| Nicholas | 9 |\n| Tori | 6 |\n| Jane | 7 |" } ] }, { "id": "21175", "image": "21175.png", "conversations": [ { "from": "human", "question": "Some students compared how many pets they have. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 6, 8, 3, 7, 7\n\nFirst, find the greatest number. The greatest number is 9.\n\nNext, find the least number. The least number is 3.\n\nSubtract the least number from the greatest number:\n\n9 − 3 = 6\n\nThe range is 6.", "answer": "6", "table": "**Pets**\n\n| Name | Number of pets |\n| --- | --- |\n| Lacey | 9 |\n| Tyler | 6 |\n| Cindy | 8 |\n| Aisha | 3 |\n| Owen | 7 |\n| David | 7 |" } ] }, { "id": "21180", "image": "21180.png", "conversations": [ { "from": "human", "question": "Some farmers compared how many sheep were in their flocks. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n60, 86, 67, 57, 76\n\nFirst, arrange the numbers from least to greatest:\n\n57, 60, 67, 76, 86\n\nNow find the number in the middle.\n\n57, 60, 67, 76, 86\n\nThe number in the middle is 67.\n\nThe median is 67.", "answer": "67", "table": "**Sheep owned**\n\n| Farmer | Number of sheep |\n| --- | --- |\n| Farmer Jo | 60 |\n| Farmer Bob | 86 |\n| Farmer Betty | 67 |\n| Farmer Sally | 57 |\n| Farmer Wendy | 76 |" } ] }, { "id": "21181", "image": "21181.png", "conversations": [ { "from": "human", "question": "Neil grows different types of pumpkins at his pumpkin patch. The frequency chart shows the number of pumpkins he sold this fall. There were also 10 pumpkins that weren't sold, and Neil decorated his house with them. How many pumpkins did he grow in all?\n" }, { "from": "gpt", "solution": "Step 1: Find how many pumpkins Neil sold.\nAdd all of the frequencies.\n42 + 35 + 61 + 29 = 167\nSo, Neil sold 167 pumpkins.\nStep 2: Find how many pumpkins Neil grew.\nAdd the number of pumpkins he sold and the number of pumpkins that weren't sold.\n167 + 10 = 177\nSo, Neil grew 177 pumpkins in all.", "answer": "177", "table": "**Pumpkins sold**\n\n| Type | Frequency |\n| --- | --- |\n| jack-o'-lantern pumpkin | 42 |\n| white pumpkin | 35 |\n| mini pumpkin | 61 |\n| pie pumpkin | 29 |" } ] }, { "id": "21202", "image": "21202.png", "conversations": [ { "from": "human", "question": "Megan counted all the beads in each necklace at the jewelry store where she works. How many necklaces had at least 80 beads?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 8 and 9.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 necklaces had at least 80 beads.", "answer": "2", "table": "**Beads per necklace**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 1, 5 |\n| 3 | 0, 4 |\n| 4 | 4, 4, 7 |\n| 5 | 7 |\n| 6 | 0, 2, 4 |\n| 7 | 0 |\n| 8 | 7 |\n| 9 | 0 |" } ] }, { "id": "21208", "image": "21208.png", "conversations": [ { "from": "human", "question": "At Seaside Consulting, the head of human resources examined how the number of employees with health care benefits varied in response to policy changes. According to the table, what was the rate of change between 2014 and 2015?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{37 employees - 38 employees}{2015 - 2014}\n = \\frac{37 employees - 38 employees}{1 year}\n = \\frac{-1 employees}{1 year}\n = -1 employees per year\nThe rate of change between 2014 and 2015 was - 1 employees per year.", "answer": "-1", "table": "**Employees with health care benefits**\n\n| Year | Employees |\n| --- | --- |\n| 2014 | 38 |\n| 2015 | 37 |\n| 2016 | 42 |\n| 2017 | 39 |\n| 2018 | 37 |" } ] }, { "id": "21210", "image": "21210.png", "conversations": [ { "from": "human", "question": "Cassie's P.E. class participated in a push-up competition, and Cassie wrote down how many push-ups each person could do. How many people did fewer than 55 push-ups?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 2, 3, and 4.\n\nIn the row with stem 5, count all the leaves less than 5.\n\nYou counted 10 leaves, which are blue in the stem-and-leaf plots above. 10 people did fewer than 55 push-ups.", "answer": "10", "table": "**Push-up competition (number of push-ups)**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 3, 3, 7, 8 |\n| 3 | 8 |\n| 4 | 2, 4, 5 |\n| 5 | 0, 0, 6, 6, 8, 9 |\n| 6 | 5, 9 |\n| 7 | 6 |\n| 8 | 3 |\n| 9 | 0, 0 |" } ] }, { "id": "21216", "image": "21216.png", "conversations": [ { "from": "human", "question": "An author kept a log of how many pages he wrote in the past 4 days. On which day did the author write the least?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 82.\n\nNow find the corresponding day. Thursday corresponds to 82.", "answer": "Thursday", "table": "**Pages written**\n\n| Day | Number of pages |\n| --- | --- |\n| Monday | 88 |\n| Tuesday | 83 |\n| Wednesday | 86 |\n| Thursday | 82 |" } ] }, { "id": "21217", "image": "21217.png", "conversations": [ { "from": "human", "question": "Garrett, a huge fan, tracked the scores on his favorite radio quiz show. How many people scored less than 4?\n" }, { "from": "gpt", "solution": "Find the rows for 0, 1, 2, and 3. Add the frequencies for these rows.\n\nAdd:\n\n14 + 2 + 9 + 16 = 41\n\n41 people scored less than 4.", "answer": "41", "table": "**Scores on a radio quiz show**\n\n| Score | Frequency |\n| --- | --- |\n| 0 | 14 |\n| 1 | 2 |\n| 2 | 9 |\n| 3 | 16 |\n| 4 | 17 |\n| 5 | 4 |" } ] }, { "id": "21219", "image": "21219.png", "conversations": [ { "from": "human", "question": "How much money does Zoe need to buy 3 dictionaries?\n" }, { "from": "gpt", "solution": "Find the total cost of 3 dictionaries by multiplying 3 times the price of a dictionary.\n\n$6.60 × 3 = $19.80\n\nZoe needs $19.80.", "answer": "19.80", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| dictionary | $6.60 |\n| math book | $8.43 |\n| book of piano music | $9.61 |\n| coloring book | $4.04 |\n| map of Canada | $4.21 |\n| airplane calendar | $5.73 |" } ] }, { "id": "21222", "image": "21222.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does the choir concert begin?\n" }, { "from": "gpt", "solution": "Find the choir concert on the schedule. Find the beginning time for the choir concert.\n\nchoir concert: 11:15 A. M.", "answer": "11:15 A.M.", "table": "**Festival schedule**\n\n| Event | Begin | End |\n| --- | --- | --- |\n| choir concert | 11:15 A.M. | 1:00 P.M. |\n| band concert | 12:55 P.M. | 2:45 P.M. |\n| drumming performance | 2:20 P.M. | 3:40 P.M. |\n| parade | 3:20 P.M. | 4:35 P.M. |\n| banquet | 3:55 P.M. | 5:15 P.M. |" } ] }, { "id": "21226", "image": "21226.png", "conversations": [ { "from": "human", "question": "Rosa has $1,086. How much money will Rosa have left if she buys a pipette and an incubator?\n" }, { "from": "gpt", "solution": "Find the total cost of a pipette and an incubator.\n\n$156 + $666 = $822\n\nNow subtract the total cost from the starting amount.\n\n$1,086 - $822 = $264\n\nRosa will have $264 left.", "answer": "264", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| microscope | $463 |\n| case of beakers | $388 |\n| autoclave | $563 |\n| incubator | $666 |\n| pipette | $156 |" } ] }, { "id": "21230", "image": "21230.png", "conversations": [ { "from": "human", "question": "Some students compared how many clubs they belong to. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n8, 10, 10, 4, 7, 9, 2, 2\n\nFirst, find the greatest number. The greatest number is 10.\n\nNext, find the least number. The least number is 2.\n\nSubtract the least number from the greatest number:\n\n10 − 2 = 8\n\nThe range is 8.", "answer": "8", "table": "**Clubs**\n\n| Name | Number of clubs |\n| --- | --- |\n| Finn | 8 |\n| Sam | 10 |\n| Nellie | 10 |\n| Karen | 4 |\n| Luther | 7 |\n| Dale | 9 |\n| Mason | 2 |\n| Wesley | 2 |" } ] }, { "id": "21232", "image": "21232.png", "conversations": [ { "from": "human", "question": "A pizza chef recalled how many pizzas she had made during the past 5 days. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n30, 35, 35, 35, 30\n\nFirst, arrange the numbers from least to greatest:\n\n30, 30, 35, 35, 35\n\nNow count how many times each number appears.\n\n30 appears 2 times.\n35 appears 3 times.\n\nThe number that appears most often is 35.\n\nThe mode is 35.", "answer": "35", "table": "**Pizzas made**\n\n| Day | Number of pizzas |\n| --- | --- |\n| Thursday | 30 |\n| Friday | 35 |\n| Saturday | 35 |\n| Sunday | 35 |\n| Monday | 30 |" } ] }, { "id": "21234", "image": "21234.png", "conversations": [ { "from": "human", "question": "Each shirt has 2 buttons. How many buttons are on 4 shirts?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 8 buttons on 4 shirts.", "answer": "8", "table": "| Number of shirts | Number of buttons |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | 6 |\n| 4 | ? |" } ] }, { "id": "21240", "image": "21240.png", "conversations": [ { "from": "human", "question": "Bernard was the lucky journalist assigned to cover the Best Beard Competition. He recorded the contestants' beard colors in his notepad. Bernard also noted if the contestants were signed up for the mustache competition later in the day. What is the probability that a randomly selected contestant is only in the beard competition and has a grey beard? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the contestant is only in the beard competition\" and B be the event \"the contestant has a grey beard\".\nTo find the probability that a contestant is only in the beard competition and has a grey beard, first identify the sample space and the event.\nThe outcomes in the sample space are the different contestants. Each contestant is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the contestant is only in the beard competition and has a grey beard\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the contestant is only in the beard competition and has a grey beard\", so look at the table to see how many contestants are only in the beard competition and have a grey beard.\nThe number of contestants who are only in the beard competition and have a grey beard is 2.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of contestants.\n3 + 3 + 2 + 5 = 13\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{2}{13}\nThe probability that a contestant is only in the beard competition and has a grey beard is \\frac{2}{13}.", "answer": "2/13", "table": "| | Red beard | Grey beard |\n| --- | --- | --- |\n| Only in the beard competition | 3 | 2 |\n| Also in the mustache competition | 3 | 5 |" } ] }, { "id": "21241", "image": "21241.png", "conversations": [ { "from": "human", "question": "How much more does a cookbook cost than a map of Africa?\n" }, { "from": "gpt", "solution": "Subtract the price of a map of Africa from the price of a cookbook.\n\n$8.95 - $3.29 = $5.66\n\nA cookbook costs $5.66 more than a map of Africa.", "answer": "5.66", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| comic book | $1.57 |\n| history book | $7.02 |\n| cookbook | $8.95 |\n| map of Africa | $3.29 |\n| dog calendar | $7.51 |" } ] }, { "id": "21245", "image": "21245.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{17 - 19}{6 - 5}\n = \\frac{-2}{1}\n = -2\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{9 - 19}{7 - 5}\n = \\frac{-10}{2}\n = -5\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 5 | 19 |\n| 6 | 17 |\n| 7 | 9 |" } ] }, { "id": "21246", "image": "21246.png", "conversations": [ { "from": "human", "question": "Some friends compared the sizes of their stuffed animal collections. Who has the most stuffed animals?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 263.\n\nNow find the corresponding name. Meg corresponds to 263.", "answer": "Meg", "table": "**Stuffed animal collections**\n\n| Name | Number of stuffed animals |\n| --- | --- |\n| Meg | 263 |\n| Becky | 232 |\n| Savannah | 226 |\n| Evelyn | 236 |" } ] }, { "id": "21255", "image": "21255.png", "conversations": [ { "from": "human", "question": "While planning a class party, the students voted for their favorite cookies. How many children voted for chocolate chip cookies?\n" }, { "from": "gpt", "solution": "Find the row for chocolate chip. Add the numbers in the Chocolate chip row.\n\nAdd:\n\n1 + 5 = 6\n\n6 children voted for chocolate chip cookies.", "answer": "6", "table": "**Favorite cookies**\n\n| Cookie | Girls | Boys |\n| --- | --- | --- |\n| Cinnamon | 4 | 13 |\n| Chocolate chip | 1 | 5 |\n| Sugar | 13 | 15 |\n| Oatmeal | 8 | 3 |\n| Peanut butter | 14 | 14 |" } ] }, { "id": "21259", "image": "21259.png", "conversations": [ { "from": "human", "question": "Barry, a doctor's office receptionist, tracked the average waiting time at the office each month. According to the table, what was the rate of change between May and June?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{34 minutes - 28 minutes}{1 month}\n = \\frac{6 minutes}{1 month}\n = 6 minutes per month\nThe rate of change between May and June was 6 minutes per month.", "answer": "6", "table": "**Average waiting time at a doctor's office**\n\n| Month | Waiting time (minutes) |\n| --- | --- |\n| May | 28 |\n| June | 34 |\n| July | 36 |\n| August | 33 |\n| September | 22 |" } ] }, { "id": "21260", "image": "21260.png", "conversations": [ { "from": "human", "question": "Each year the Kensington School District publishes its annual budget, which includes information on the sports program's per-student spending. According to the table, what was the rate of change between 2013 and 2014?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{$49 - $37}{2014 - 2013}\n = \\frac{$49 - $37}{1 year}\n = \\frac{$12}{1 year}\n = $12 per year\nThe rate of change between 2013 and 2014 was $12 per year.", "answer": "12", "table": "**Kensington School District sports budget**\n\n| Year | Per-student budget |\n| --- | --- |\n| 2013 | $37 |\n| 2014 | $49 |\n| 2015 | $33 |\n| 2016 | $41 |\n| 2017 | $42 |" } ] }, { "id": "21263", "image": "21263.png", "conversations": [ { "from": "human", "question": "How much more does a lawn mower cost than a measuring tape?\n" }, { "from": "gpt", "solution": "Subtract the price of a measuring tape from the price of a lawn mower.\n\n$35.00 - $14.00 = $21.00\n\nA lawn mower costs $21.00 more than a measuring tape.", "answer": "21", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| lawn mower | $35.00 |\n| wheelbarrow | $54.00 |\n| rake | $20.00 |\n| measuring tape | $14.00 |" } ] }, { "id": "21264", "image": "21264.png", "conversations": [ { "from": "human", "question": "A flight attendant was counting the number of passengers present to see if any upgrades could be offered. The flight attendant's list contained passengers' Frequent Flyer status as well as number of bags checked. What is the probability that a randomly selected passenger has 1 checked bag and bronze status? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the passenger has 1 checked bag\" and B be the event \"the passenger has bronze status\".\nTo find the probability that a passenger has 1 checked bag and bronze status, first identify the sample space and the event.\nThe outcomes in the sample space are the different passengers. Each passenger is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the passenger has 1 checked bag and bronze status\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the passenger has 1 checked bag and bronze status\", so look at the table to see how many passengers have 1 checked bag and bronze status.\nThe number of passengers who have 1 checked bag and bronze status is 3.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of passengers.\n3 + 3 + 3 + 5 = 14\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{3}{14}\nThe probability that a passenger has 1 checked bag and bronze status is \\frac{3}{14}.", "answer": "3/14", "table": "| | Bronze status | Silver status |\n| --- | --- | --- |\n| 0 checked bags | 3 | 3 |\n| 1 checked bag | 3 | 5 |" } ] }, { "id": "21272", "image": "21272.png", "conversations": [ { "from": "human", "question": "Alexa purchased 2 kilograms of buttermilk pancake mix. What was the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the buttermilk pancake mix. Multiply the price per kilogram by the number of kilograms.\n\n$0.52 × 2 = $1.04\n\nThe total cost was $1.04.", "answer": "1.04", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| blueberry pancake mix | $1.21 per kilogram |\n| plain pancake mix | $0.93 per kilogram |\n| buttermilk pancake mix | $0.52 per kilogram |\n| raspberry pancake mix | $1.25 per kilogram |" } ] }, { "id": "21277", "image": "21277.png", "conversations": [ { "from": "human", "question": "Principal Duran reported the state test scores from some students at his school. How many students scored exactly 73 points?\n" }, { "from": "gpt", "solution": "For the number 73, the stem is 7, and the leaf is 3. Find the row where the stem is 7. In that row, count all the leaves equal to 3.\n\nYou counted 1 leaf, which is blue in the stem-and-leaf plot above. 1 student scored exactly 73 points.", "answer": "1", "table": "**Test scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 4, 5 |\n| 3 | 0 |\n| 4 | 3, 4 |\n| 5 | 0, 0, 1, 2, 4, 4, 6 |\n| 6 | 1, 1, 6 |\n| 7 | 3, 4, 6, 6 |\n| 8 | 3, 5 |" } ] }, { "id": "21278", "image": "21278.png", "conversations": [ { "from": "human", "question": "The players on a quiz show received the following scores. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n3, 1, 5, 1, 5, 5\n\nFirst, arrange the numbers from least to greatest:\n\n1, 1, 3, 5, 5, 5\n\nNow count how many times each number appears.\n\n1 appears 2 times.\n3 appears 1 time.\n5 appears 3 times.\n\nThe number that appears most often is 5.\n\nThe mode is 5.", "answer": "5", "table": "**Quiz show scores**\n\n| Name | Score |\n| --- | --- |\n| Ellie | 3 |\n| Sam | 1 |\n| Regan | 5 |\n| Julia | 1 |\n| Bridget | 5 |\n| Lily | 5 |" } ] }, { "id": "21285", "image": "21285.png", "conversations": [ { "from": "human", "question": "While working as a summer camp counselor, Roy monitored how many candy necklaces each child made. How many children made fewer than 3 candy necklaces?\n" }, { "from": "gpt", "solution": "Find the rows for 0, 1, and 2 candy necklaces. Add the frequencies for these rows.\n\nAdd:\n\n20 + 15 + 16 = 51\n\n51 children made fewer than 3 candy necklaces.", "answer": "51", "table": "**Making candy necklaces**\n\n| Candy necklaces made | Frequency |\n| --- | --- |\n| 0 | 20 |\n| 1 | 15 |\n| 2 | 16 |\n| 3 | 7 |\n| 4 | 12 |\n| 5 | 8 |" } ] }, { "id": "21288", "image": "21288.png", "conversations": [ { "from": "human", "question": "How much more does a measuring tape cost than a watering can?\n" }, { "from": "gpt", "solution": "Subtract the price of a watering can from the price of a measuring tape.\n\n$14.00 - $13.00 = $1.00\n\nA measuring tape costs $1.00 more than a watering can.", "answer": "1", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| watering can | $13.00 |\n| rake | $19.00 |\n| mop | $18.00 |\n| measuring tape | $14.00 |\n| lawn mower | $46.00 |" } ] }, { "id": "21289", "image": "21289.png", "conversations": [ { "from": "human", "question": "Gabe's campground is close to two hiking trails with scenic destinations. One trail ends at an underground lake in the bottom of a small cave. The other trail ends at a mountain peak. The elevation of each destination is shown on the campground map. Which trail's destination is farther from sea level?\n" }, { "from": "gpt", "solution": "The underground lake's elevation is negative, so it is below sea level. The mountain peak's elevation is positive, so it is above sea level.\nTo find the destination farther from sea level, use absolute value. Absolute value tells you how far each destination is from sea level.\nUnderground lake: |-350| = 350\nMountain peak: |325| = 325\nThe underground lake is 350 feet below sea level, and the mountain peak is only 325 feet above sea level. The underground lake is farther from sea level.", "answer": "underground lake", "table": "| Destination | Elevation (ft.) |\n| --- | --- |\n| Underground lake | -350 |\n| Mountain peak | 325 |" } ] }, { "id": "21293", "image": "21293.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which stop does the train depart from at 6.40 P.M.?\n" }, { "from": "gpt", "solution": "Find 6:40 P. M. on the schedule. The train departs from Rockport at 6:40 P. M.", "answer": "Rockport", "table": "**Train schedule**\n\n| Location | Arrive | Depart |\n| --- | --- | --- |\n| Lowell | 9:10 A.M. | 9:25 A.M. |\n| Hampton | 10:25 A.M. | 10:40 A.M. |\n| Lakeside | 12:00 P.M. | 12:15 P.M. |\n| Oxford | 2:05 P.M. | 2:20 P.M. |\n| Lancaster | 3:55 P.M. | 4:05 P.M. |\n| Brookfield | 5:40 P.M. | 5:55 P.M. |\n| Rockport | 6:35 P.M. | 6:40 P.M. |\n| Dayton | 7:15 P.M. | 7:20 P.M. |" } ] }, { "id": "21296", "image": "21296.png", "conversations": [ { "from": "human", "question": "What is the total cost for 2.1 pounds of black tea?\n" }, { "from": "gpt", "solution": "Find the cost of the black tea. Multiply the price per pound by the number of pounds.\n$2 × 2.1 = $4.20\nThe total cost is $4.20.", "answer": "4.20", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| chai tea | $5 per pound |\n| green tea | $5 per pound |\n| pomegranate tea | $5 per pound |\n| black tea | $2 per pound |\n| chamomile tea | $2 per pound |\n| peppermint tea | $2 per pound |" } ] }, { "id": "21302", "image": "21302.png", "conversations": [ { "from": "human", "question": "A journalist attended a crossword puzzle competition which attracts contestants from different countries. The competition ends when a contestant has accurately completed five different crossword puzzles. For her story, the journalist recorded the home country and final score of each contestant. What is the probability that a randomly selected contestant scored exactly 80 points and is from Argentina? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the contestant scored exactly 80 points\" and B be the event \"the contestant is from Argentina\".\nTo find the probability that a contestant scored exactly 80 points and is from Argentina, first identify the sample space and the event.\nThe outcomes in the sample space are the different contestants. Each contestant is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the contestant scored exactly 80 points and is from Argentina\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the contestant scored exactly 80 points and is from Argentina\", so look at the table to see how many contestants scored exactly 80 points and are from Argentina.\nThe number of contestants who scored exactly 80 points and are from Argentina is 7.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of contestants.\n7 + 3 + 3 + 6 = 19\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{7}{19}\nThe probability that a contestant scored exactly 80 points and is from Argentina is \\frac{7}{19}.", "answer": "7/19", "table": "| | Argentina | Brazil |\n| --- | --- | --- |\n| 80 points | 7 | 3 |\n| 85 points | 3 | 6 |" } ] }, { "id": "21306", "image": "21306.png", "conversations": [ { "from": "human", "question": "Each jar has 5 pickles. How many pickles are in 5 jars?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 25 pickles in 5 jars.", "answer": "25", "table": "| Number of jars | Number of pickles |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | 20 |\n| 5 | ? |" } ] }, { "id": "21312", "image": "21312.png", "conversations": [ { "from": "human", "question": "How much money does Chloe need to buy 8 jars of salsa?\n" }, { "from": "gpt", "solution": "Find the total cost of 8 jars of salsa by multiplying 8 times the price of a jar of salsa.\n\n$0.93 × 8 = $7.44\n\nChloe needs $7.44.", "answer": "7.44", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| bottle of vinegar | $0.66 |\n| bottle of soy sauce | $0.79 |\n| bottle of ketchup | $0.86 |\n| jar of salsa | $0.93 |\n| bottle of mustard | $0.75 |\n| bottle of hot sauce | $0.79 |" } ] }, { "id": "21314", "image": "21314.png", "conversations": [ { "from": "human", "question": "How much money does Colin need to buy 3 horse key chains?\n" }, { "from": "gpt", "solution": "Find the total cost of 3 horse key chains by multiplying 3 times the price of a horse key chain.\n\n$2.43 × 3 = $7.29\n\nColin needs $7.29.", "answer": "7.29", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| baseball bat key chain | $2.82 |\n| alligator key chain | $2.66 |\n| horse key chain | $2.43 |\n| football helmet key chain | $2.43 |\n| puppy key chain | $2.21 |" } ] }, { "id": "21315", "image": "21315.png", "conversations": [ { "from": "human", "question": "Reagan kept track of the number of characters in each book she read. How many books had at least 30 characters?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 3, 4, and 5.\n\nYou counted 15 leaves, which are blue in the stem-and-leaf plot above. 15 books had at least 30 characters.", "answer": "15", "table": "**Characters per book**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 2, 3, 7, 7 |\n| 2 | 0, 2, 4 |\n| 3 | 0, 4, 5, 6, 6, 8, 9 |\n| 4 | 0, 3, 6, 7 |\n| 5 | 4, 4, 7, 9 |" } ] }, { "id": "21318", "image": "21318.png", "conversations": [ { "from": "human", "question": "A pair of Marshall High School hockey fans counted the number of games won by the school each year. According to the table, what was the rate of change between 2007 and 2008?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{14 games - 10 games}{2008 - 2007}\n = \\frac{14 games - 10 games}{1 year}\n = \\frac{4 games}{1 year}\n = 4 games per year\nThe rate of change between 2007 and 2008 was 4 games per year.", "answer": "4", "table": "**Hockey games won by Marshall High**\n\n| Year | Games won |\n| --- | --- |\n| 2006 | 13 |\n| 2007 | 10 |\n| 2008 | 14 |\n| 2009 | 10 |\n| 2010 | 17 |" } ] }, { "id": "21323", "image": "21323.png", "conversations": [ { "from": "human", "question": "A pair of Knox High School hockey fans counted the number of games won by the school each year. According to the table, what was the rate of change between 2018 and 2019?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{12 games - 15 games}{2019 - 2018}\n = \\frac{12 games - 15 games}{1 year}\n = \\frac{-3 games}{1 year}\n = -3 games per year\nThe rate of change between 2018 and 2019 was - 3 games per year.", "answer": "-3", "table": "**Hockey games won by Knox High**\n\n| Year | Games won |\n| --- | --- |\n| 2015 | 10 |\n| 2016 | 8 |\n| 2017 | 12 |\n| 2018 | 15 |\n| 2019 | 12 |" } ] }, { "id": "21334", "image": "21334.png", "conversations": [ { "from": "human", "question": "The members of the science club shared how many times they had been to the zoo last year. How many members went to the zoo at least 2 times?\n" }, { "from": "gpt", "solution": "Find the rows for 2 and 3 times. Add the frequencies for these rows.\n\nAdd:\n\n12 + 5 = 17\n\n17 members went to the zoo at least 2 times.", "answer": "17", "table": "**Trips to the zoo last year**\n\n| Number of trips | Frequency |\n| --- | --- |\n| 0 | 17 |\n| 1 | 10 |\n| 2 | 12 |\n| 3 | 5 |" } ] }, { "id": "21340", "image": "21340.png", "conversations": [ { "from": "human", "question": "Felix's Candies has been studying how much chocolate people have been eating in different countries. Which country consumed less chocolate per capita in 2002, Norway or Australia?\n" }, { "from": "gpt", "solution": "Find the 2002 column. Compare the numbers in this column for Norway and Australia.\n\n4 is less than 8. Australia consumed less chocolate per capita in 2002.", "answer": "Australia", "table": "**Chocolate consumption per capita (kg)**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 2002 | 2005 |\n| Australia | 4 | 5 |\n| Germany | 10 | 11 |\n| Norway | 8 | 9 |" } ] }, { "id": "21347", "image": "21347.png", "conversations": [ { "from": "human", "question": "Several people compared how many Web pages they had visited. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 10, 10, 9, 4, 2, 8, 7\n\nFirst, find the greatest number. The greatest number is 10.\n\nNext, find the least number. The least number is 2.\n\nSubtract the least number from the greatest number:\n\n10 − 2 = 8\n\nThe range is 8.", "answer": "8", "table": "**Web pages visited**\n\n| Person | Number of Web pages |\n| --- | --- |\n| Tim | 7 |\n| Reba | 10 |\n| Justin | 10 |\n| Cooper | 9 |\n| Valeria | 4 |\n| Grace | 2 |\n| Harry | 8 |\n| Eric | 7 |" } ] }, { "id": "21350", "image": "21350.png", "conversations": [ { "from": "human", "question": "Brandon has $10.00. Does he have enough to buy a broom and a bucket?\n" }, { "from": "gpt", "solution": "Add the price of a broom and the price of a bucket:\n\n$4.00 + $5.00 = $9.00\n\n$9.00 is less than $10.00. Brandon does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| bucket | $5.00 |\n| watering can | $8.00 |\n| mop | $3.00 |\n| broom | $4.00 |" } ] }, { "id": "21351", "image": "21351.png", "conversations": [ { "from": "human", "question": "An ice cream shop kept track of how many ice cream cones it sold in the past 4 days. On which day did the shop sell the most ice cream cones?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 887.\n\nNow find the corresponding day. Thursday corresponds to 887.", "answer": "Thursday", "table": "**Ice cream cones sold**\n\n| Day | Number of ice cream cones |\n| --- | --- |\n| Tuesday | 848 |\n| Wednesday | 847 |\n| Thursday | 887 |\n| Friday | 878 |" } ] }, { "id": "21356", "image": "21356.png", "conversations": [ { "from": "human", "question": "The staff of a game show tracked the performance of all the contestants during the past season. How many people scored at least 45 points but fewer than 70 points?\n" }, { "from": "gpt", "solution": "Find the row with stem 4. Count all the leaves greater than or equal to 5.\n\nCount all the leaves in the rows with stems 5 and 6.\n\nYou counted 6 leaves, which are blue in the stem-and-leaf plots above. 6 people scored at least 45 points but fewer than 70 points.", "answer": "6", "table": "**Game show scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1, 4 |\n| 2 | 1, 1, 2, 2, 4, 7 |\n| 3 | 2, 2, 6, 9 |\n| 4 | 0, 3 |\n| 5 | 0, 1, 5, 9 |\n| 6 | 1, 6 |\n| 7 | 1, 3, 5, 6 |\n| 8 | 4 |" } ] }, { "id": "21357", "image": "21357.png", "conversations": [ { "from": "human", "question": "Elena's Treats counted how many times its most frequent customers ate ice cream last month. How many customers ate ice cream exactly 4 times last month?\n" }, { "from": "gpt", "solution": "Find the row for 4 times and read the frequency. The frequency is 20.\n\n20 customers ate ice cream exactly 4 times last month.", "answer": "20", "table": "**Eating ice cream last month**\n\n| Times eaten | Frequency |\n| --- | --- |\n| 0 | 9 |\n| 1 | 17 |\n| 2 | 10 |\n| 3 | 8 |\n| 4 | 20 |" } ] }, { "id": "21362", "image": "21362.png", "conversations": [ { "from": "human", "question": "Sasha went to the store. She bought 1/10 of a pound of wooden beads. How much did she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the wooden beads. Multiply the price per pound by the number of pounds.\n$9 × \\frac{1}{10} = $9 × 0.1 = $0.90\nShe spent $0.90.", "answer": "0.90", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| paper beads | $4/pound |\n| crystal beads | $4/pound |\n| wooden beads | $9/pound |\n| glass beads | $5/pound |\n| plastic beads | $12/pound |" } ] }, { "id": "21372", "image": "21372.png", "conversations": [ { "from": "human", "question": "Erica wrote down how many pages she read over the past 4 days. On which day did Erica read the fewest pages?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 217.\n\nNow find the corresponding day. Wednesday corresponds to 217.", "answer": "Wednesday", "table": "**Pages read**\n\n| Day | Number of pages |\n| --- | --- |\n| Sunday | 221 |\n| Monday | 271 |\n| Tuesday | 278 |\n| Wednesday | 217 |" } ] }, { "id": "21381", "image": "21381.png", "conversations": [ { "from": "human", "question": "How much money does Pam need to buy a coffee pot and a teapot?\n" }, { "from": "gpt", "solution": "Add the price of a coffee pot and the price of a teapot:\n\n$20.00 + $10.00 = $30.00\n\nPam needs $30.00.", "answer": "30", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| apron | $12.00 |\n| teapot | $10.00 |\n| coffee pot | $20.00 |\n| frying pan | $12.00 |\n| glass bowl | $20.00 |" } ] }, { "id": "21385", "image": "21385.png", "conversations": [ { "from": "human", "question": "Some friends discussed the sizes of their coin collections. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n76, 74, 86, 65, 65, 67, 80, 71\n\nFirst, find the greatest number. The greatest number is 86.\n\nNext, find the least number. The least number is 65.\n\nSubtract the least number from the greatest number:\n\n86 − 65 = 21\n\nThe range is 21.", "answer": "21", "table": "**Coin collections**\n\n| Name | Number of coins |\n| --- | --- |\n| Cora | 76 |\n| Harold | 74 |\n| Antonio | 86 |\n| Wayne | 65 |\n| Eliana | 65 |\n| Shannon | 67 |\n| Logan | 80 |\n| Kendra | 71 |" } ] }, { "id": "21390", "image": "21390.png", "conversations": [ { "from": "human", "question": "How much money does Zane need to buy 5 radios?\n" }, { "from": "gpt", "solution": "Find the total cost of 5 radios by multiplying 5 times the price of a radio.\n\n$17.81 × 5 = $89.05\n\nZane needs $89.05.", "answer": "89.05", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| cell phone | $92.86 |\n| blender | $21.72 |\n| radio | $17.81 |\n| CD | $16.26 |" } ] }, { "id": "21391", "image": "21391.png", "conversations": [ { "from": "human", "question": "In science class, Josie is measuring the temperature of different chemical mixtures. The temperatures of two mixtures are shown in the table. Which mixture's temperature is closest to zero?\n" }, { "from": "gpt", "solution": "A positive number means the temperature is above zero. A negative number means the temperature is below zero.\nTo find the temperature closest to zero, use absolute value. The absolute value of a temperature tells you how far it is from zero.\nBromine mixture: |-4| = 4\nAcetone mixture: |5| = 5\nThe temperature of the bromine mixture is closest to zero. It is only 4 degrees below zero.", "answer": "bromine mixture", "table": "| Mixture | Temperature (°C) |\n| --- | --- |\n| Bromine mixture | -4 |\n| Acetone mixture | 5 |" } ] }, { "id": "21397", "image": "21397.png", "conversations": [ { "from": "human", "question": "How much more does a ruby necklace cost than a diamond pendant?\n" }, { "from": "gpt", "solution": "Subtract the price of a diamond pendant from the price of a ruby necklace.\n\n$7,332 - $5,198 = $2,134\n\nA ruby necklace costs $2,134 more than a diamond pendant.", "answer": "2,134", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| sapphire ring | $1,240 |\n| ruby necklace | $7,332 |\n| silver necklace | $1,319 |\n| sapphire pendant | $3,469 |\n| jade necklace | $2,768 |\n| diamond pendant | $5,198 |" } ] }, { "id": "21410", "image": "21410.png", "conversations": [ { "from": "human", "question": "Each package has 2 toy trucks. How many toy trucks are in 4 packages?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 8 toy trucks in 4 packages.", "answer": "8", "table": "| Number of packages | Number of toy trucks |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | 6 |\n| 4 | ? |" } ] }, { "id": "21416", "image": "21416.png", "conversations": [ { "from": "human", "question": "For a social studies project, Alana counted the number of classrooms in each school in the city. How many schools have exactly 54 classrooms?\n" }, { "from": "gpt", "solution": "For the number 54, the stem is 5, and the leaf is 4. Find the row where the stem is 5. In that row, count all the leaves equal to 4.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 schools have exactly 54 classrooms.", "answer": "2", "table": "**Classrooms per school**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 0, 1, 6 |\n| 4 | 5, 5, 6, 9 |\n| 5 | 4, 4, 8 |\n| 6 | 0, 2, 5, 8 |\n| 7 | 0, 1, 8, 9 |" } ] }, { "id": "21419", "image": "21419.png", "conversations": [ { "from": "human", "question": "How much money does Aaron need to buy a silver coat rack and a crystal sculpture?\n" }, { "from": "gpt", "solution": "Add the price of a silver coat rack and the price of a crystal sculpture:\n\n$702 + $653 = $1,355\n\nAaron needs $1,355.", "answer": "1,355", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| crystal sculpture | $653 |\n| crystal vase | $760 |\n| silver coat rack | $702 |\n| rug | $149 |\n| chandelier | $921 |" } ] }, { "id": "21423", "image": "21423.png", "conversations": [ { "from": "human", "question": "The school district compared how many swings each elementary school has. Which school has the most swings?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 18.\n\nNow find the corresponding school. Roseville Elementary corresponds to 18.", "answer": "Roseville Elementary", "table": "**Swings**\n\n| School | Number of swings |\n| --- | --- |\n| Jefferson Elementary | 13 |\n| Roseville Elementary | 18 |\n| Hillside Elementary | 17 |\n| Sierra Elementary | 11 |" } ] }, { "id": "21425", "image": "21425.png", "conversations": [ { "from": "human", "question": "The bird watcher counted the number of birds in each flock that passed overhead. How many flocks had at least 50 birds but fewer than 78 birds?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 5 and 6.\n\nIn the row with stem 7, count all the leaves less than 8.\n\nYou counted 8 leaves, which are blue in the stem-and-leaf plots above. 8 flocks had at least 50 birds but fewer than 78 birds.", "answer": "8", "table": "**Birds per flock**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 2, 8, 9, 9 |\n| 4 | 0, 2, 5, 7 |\n| 5 | 2, 7 |\n| 6 | 1, 2, 2, 6, 7 |\n| 7 | 3, 8 |" } ] }, { "id": "21428", "image": "21428.png", "conversations": [ { "from": "human", "question": "The librarian at the public library counted the number of books on each shelf. What is the largest number of books?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 8.\n\nNow find the highest leaf in the last row. The highest leaf is 3.\n\nThe largest number of books has a stem of 8 and a leaf of 3. Write the stem first, then the leaf: 83.\n\nThe largest number of books is 83 books.", "answer": "83", "table": "**Books per shelf**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1, 5, 6, 8 |\n| 2 | 1, 2, 9 |\n| 3 | 1, 2 |\n| 4 | 7 |\n| 5 | 1, 1, 4, 8 |\n| 6 | 3 |\n| 7 | 1, 2, 3 |\n| 8 | 2, 3 |" } ] }, { "id": "21432", "image": "21432.png", "conversations": [ { "from": "human", "question": "Several people compared how many Web pages they had visited. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 7, 8, 9, 3, 4, 3, 2\n\nFirst, find the greatest number. The greatest number is 9.\n\nNext, find the least number. The least number is 2.\n\nSubtract the least number from the greatest number:\n\n9 − 2 = 7\n\nThe range is 7.", "answer": "7", "table": "**Web pages visited**\n\n| Person | Number of Web pages |\n| --- | --- |\n| Tisha | 7 |\n| Wyatt | 7 |\n| Shawn | 8 |\n| Christine | 9 |\n| Lee | 3 |\n| Rafi | 4 |\n| Vince | 3 |\n| Kamal | 2 |" } ] }, { "id": "21433", "image": "21433.png", "conversations": [ { "from": "human", "question": "Jamie, who rents properties for a living, measures all the offices in a building he is renting. How many offices are at least 10 square meters but less than 70 square meters?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1, 2, 3, 4, 5, and 6.\n\nYou counted 6 leaves, which are blue in the stem-and-leaf plot above. 6 offices are at least 10 square meters but less than 70 square meters.", "answer": "6", "table": "**Office sizes (square meters)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 2, 3, 3 |\n| 2 | |\n| 3 | 3, 7 |\n| 4 | |\n| 5 | |\n| 6 | 4 |\n| 7 | 0, 7 |" } ] }, { "id": "21435", "image": "21435.png", "conversations": [ { "from": "human", "question": "Dr. Hatfield, a zoo director, researched ticket prices at other zoos around the country. How much does an adult ticket to the Cleveland Zoo cost?\n" }, { "from": "gpt", "solution": "First, find the row for Cleveland. Then find the number in the Adult column.\n\nThis number is $10.00. An adult ticket to the Cleveland Zoo cost $10.", "answer": "10", "table": "**Zoo ticket prices**\n\n| Zoo | Adult | Child |\n| --- | --- | --- |\n| Los Angeles | $13 | $8 |\n| Houston | $10 | $6 |\n| Cleveland | $10 | $7 |\n| Brookfield | $12 | $8 |" } ] }, { "id": "21440", "image": "21440.png", "conversations": [ { "from": "human", "question": "Winston purchased 4 pounds of trout. What was the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the trout. Multiply the price per pound by the number of pounds.\n\n$7.90 × 4 = $31.60\n\nThe total cost was $31.60.", "answer": "31.60", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| catfish | $8.99/lb |\n| trout | $7.90/lb |\n| tuna | $6.00/lb |\n| tilapia | $7.19/lb |\n| halibut | $8.50/lb |\n| salmon | $5.16/lb |" } ] }, { "id": "21445", "image": "21445.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{13 - 11}{13 - 12}\n = \\frac{2}{1}\n = 2\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{19 - 13}{14 - 13}\n = \\frac{6}{1}\n = 6\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 12 | 11 |\n| 13 | 13 |\n| 14 | 19 |" } ] }, { "id": "21448", "image": "21448.png", "conversations": [ { "from": "human", "question": "Some friends played a trivia game and recorded their scores. How many more points did Vivian score than Charlie?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nVivian: 5,822\nCharlie: 2,500\n\nNow subtract: 5,822 - 2,500 = 3,322.\n\nVivian scored 3,322 points more.", "answer": "3,322", "table": "**Trivia game scores**\n\n| Name | Score |\n| --- | --- |\n| Charlie | 2,500 |\n| Spencer | 7,377 |\n| Vivian | 5,822 |\n| Liam | 4,048 |\n| Hansen | 1,238 |" } ] }, { "id": "21454", "image": "21454.png", "conversations": [ { "from": "human", "question": "How much money does Tim need to buy a mystery game and a toy rocket?\n" }, { "from": "gpt", "solution": "Add the price of a mystery game and the price of a toy rocket:\n\n$20 + $65 = $85\n\nTim needs $85.", "answer": "85", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| board game | $17 |\n| model airplane | $23 |\n| model railroad set | $86 |\n| toy rocket | $65 |\n| teddy bear | $15 |\n| mystery game | $20 |" } ] }, { "id": "21457", "image": "21457.png", "conversations": [ { "from": "human", "question": "Look at this table. Is this relation a function?\n" }, { "from": "gpt", "solution": "Look at the x-values in the table.\n\nEach of the x-values is paired with only one y-value, so the relation is a function.", "answer": "yes", "table": "| x | y |\n| --- | --- |\n| 2 | 18 |\n| 10 | 11 |\n| 18 | 3 |\n| 3 | 20 |" } ] }, { "id": "21458", "image": "21458.png", "conversations": [ { "from": "human", "question": "Wanderlust Travel Agency asked customers when they plan to take their next trip. This frequency chart shows their answers. How many fewer people said their next trip will be in winter than in summer?\n" }, { "from": "gpt", "solution": "The frequencies tell you how many people are planning their next trip in each of the four seasons.\n47 people said they plan to take their next trip in summer, and 13 people said winter. Subtract to find the difference.\n47 − 13 = 34\nSo, 34 fewer people said their next trip will be in winter.", "answer": "34", "table": "**Next trip**\n\n| Season | Frequency |\n| --- | --- |\n| fall | 12 |\n| spring | 19 |\n| summer | 47 |\n| winter | 13 |" } ] }, { "id": "21466", "image": "21466.png", "conversations": [ { "from": "human", "question": "A machine at the candy factory dispensed different numbers of lemon-flavored candies into various bags. What is the smallest number of lemon-flavored candies?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 3.\n\nNow find the lowest leaf in the first row. The lowest leaf is 4.\n\nThe smallest number of lemon-flavored candies has a stem of 3 and a leaf of 4. Write the stem first, then the leaf: 34.\n\nThe smallest number of lemon-flavored candies is 34 lemon-flavored candies.", "answer": "34", "table": "**Lemon-flavored candies per bag**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 4, 9 |\n| 4 | 3, 4 |\n| 5 | 1, 8, 9, 9 |\n| 6 | 2 |" } ] }, { "id": "21468", "image": "21468.png", "conversations": [ { "from": "human", "question": "How much money does Mitch need to buy a picnic table, an iron bench, and a lawn mower?\n" }, { "from": "gpt", "solution": "Find the total cost of a picnic table, an iron bench, and a lawn mower.\n\n$529.00 + $493.00 + $173.00 = $1,195.00\n\nMitch needs $1,195.00.", "answer": "1,195", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| fountain | $987.00 |\n| barbecue grill | $795.00 |\n| iron bench | $493.00 |\n| picnic table | $529.00 |\n| lawn mower | $173.00 |" } ] }, { "id": "21477", "image": "21477.png", "conversations": [ { "from": "human", "question": "A farm equipment company kept a record of the number of tractors made each month. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n32, 25, 33, 37, 20, 27, 30, 36\n\nFirst, count how many numbers are in the group.\n\nThere are 8 numbers.\n\nNow add all the numbers together:\n\n32 + 25 + 33 + 37 + 20 + 27 + 30 + 36 = 240\n\nNow divide the sum by the number of numbers:\n\n240 ÷ 8 = 30\n\nThe mean is 30.", "answer": "30", "table": "**Tractors made**\n\n| Month | Number of tractors |\n| --- | --- |\n| May | 32 |\n| June | 25 |\n| July | 33 |\n| August | 37 |\n| September | 20 |\n| October | 27 |\n| November | 30 |\n| December | 36 |" } ] }, { "id": "21496", "image": "21496.png", "conversations": [ { "from": "human", "question": "Will has $141. Does he have enough to buy a fountain and an iron bench?\n" }, { "from": "gpt", "solution": "Add the price of a fountain and the price of an iron bench:\n\n$94 + $55 = $149\n\n$149 is more than $141. Will does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| iron bench | $55 |\n| lawn chair | $11 |\n| fountain | $94 |\n| rosebush | $35 |" } ] }, { "id": "21499", "image": "21499.png", "conversations": [ { "from": "human", "question": "Each dish has 2 peppermint candies. How many peppermint candies are in 6 dishes?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 12 peppermint candies in 6 dishes.", "answer": "12", "table": "| Number of dishes | Number of peppermint candies |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | 6 |\n| 4 | 8 |\n| 5 | 10 |\n| 6 | ? |" } ] }, { "id": "21508", "image": "21508.png", "conversations": [ { "from": "human", "question": "Some students compared how many pets they have. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n1, 1, 7, 10, 10, 10, 7, 8\n\nFirst, arrange the numbers from least to greatest:\n\n1, 1, 7, 7, 8, 10, 10, 10\n\nNow count how many times each number appears.\n\n1 appears 2 times.\n7 appears 2 times.\n8 appears 1 time.\n10 appears 3 times.\n\nThe number that appears most often is 10.\n\nThe mode is 10.", "answer": "10", "table": "**Pets**\n\n| Name | Number of pets |\n| --- | --- |\n| Rhianna | 1 |\n| Seth | 1 |\n| Preston | 7 |\n| Jamal | 10 |\n| Beth | 10 |\n| Neil | 10 |\n| Gordon | 7 |\n| Elizabeth | 8 |" } ] }, { "id": "21512", "image": "21512.png", "conversations": [ { "from": "human", "question": "For a social studies project, Adam counted the number of classrooms in each school in the city. How many schools have at least 64 classrooms but fewer than 90 classrooms?\n" }, { "from": "gpt", "solution": "Find the row with stem 6. Count all the leaves greater than or equal to 4.\n\nCount all the leaves in the rows with stems 7 and 8.\n\nYou counted 5 leaves, which are blue in the stem-and-leaf plots above. 5 schools have at least 64 classrooms but fewer than 90 classrooms.", "answer": "5", "table": "**Classrooms per school**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 2, 2, 4 |\n| 3 | 5 |\n| 4 | 1 |\n| 5 | |\n| 6 | 7 |\n| 7 | 6, 8 |\n| 8 | 7, 8 |\n| 9 | 0 |" } ] }, { "id": "21516", "image": "21516.png", "conversations": [ { "from": "human", "question": "Charlotte counted the number of ducks at each pond in the city. What is the largest number of ducks?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 9.\n\nNow find the highest leaf in the last row. The highest leaf is 0.\n\nThe largest number of ducks has a stem of 9 and a leaf of 0. Write the stem first, then the leaf: 90.\n\nThe largest number of ducks is 90 ducks.", "answer": "90", "table": "**Ducks per pond**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 5 |\n| 5 | 9 |\n| 6 | 3, 6 |\n| 7 | 9 |\n| 8 | 0, 5 |\n| 9 | 0 |" } ] }, { "id": "21517", "image": "21517.png", "conversations": [ { "from": "human", "question": "Mr. Kline recorded the scores of his students on the most recent math quiz. How many students scored at least 6?\n" }, { "from": "gpt", "solution": "Find the rows for 6, 7, 8, 9, and 10. Add the frequencies for these rows.\n\nAdd:\n\n11 + 3 + 1 + 13 + 6 = 34\n\n34 students scored at least 6.", "answer": "34", "table": "**Scores on the math quiz**\n\n| Score | Frequency |\n| --- | --- |\n| 5 | 7 |\n| 6 | 11 |\n| 7 | 3 |\n| 8 | 1 |\n| 9 | 13 |\n| 10 | 6 |" } ] }, { "id": "21519", "image": "21519.png", "conversations": [ { "from": "human", "question": "A magazine editor looked at his sales figures for the past 4 months. In which month were the most copies sold?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 198.\n\nNow find the corresponding month. November corresponds to 198.", "answer": "November", "table": "**Magazines sold**\n\n| Month | Number of magazines |\n| --- | --- |\n| November | 198 |\n| December | 131 |\n| January | 139 |\n| February | 119 |" } ] }, { "id": "21521", "image": "21521.png", "conversations": [ { "from": "human", "question": "Fans of the Oakland baseball team compared the number of games won by their team each year. According to the table, what was the rate of change between 2016 and 2017?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{38 games - 42 games}{2017 - 2016}\n = \\frac{38 games - 42 games}{1 year}\n = \\frac{-4 games}{1 year}\n = -4 games per year\nThe rate of change between 2016 and 2017 was - 4 games per year.", "answer": "-4", "table": "**Games won by the Oakland baseball team**\n\n| Year | Games won |\n| --- | --- |\n| 2014 | 46 |\n| 2015 | 45 |\n| 2016 | 42 |\n| 2017 | 38 |\n| 2018 | 45 |" } ] }, { "id": "21530", "image": "21530.png", "conversations": [ { "from": "human", "question": "Jill kept track of the number of games her soccer team won each year. According to the table, what was the rate of change between 2013 and 2014?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{12 games - 12 games}{2014 - 2013}\n = \\frac{12 games - 12 games}{1 year}\n = \\frac{0 games}{1 year}\n = 0 games per year\nThe rate of change between 2013 and 2014 was 0 games per year.", "answer": "0", "table": "**Games won by Jill's soccer team**\n\n| Year | Games won |\n| --- | --- |\n| 2010 | 7 |\n| 2011 | 33 |\n| 2012 | 37 |\n| 2013 | 12 |\n| 2014 | 12 |" } ] }, { "id": "21534", "image": "21534.png", "conversations": [ { "from": "human", "question": "Grayson counted the number of pieces of pepperoni on each pizza he made. What is the smallest number of pieces of pepperoni?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 1.\n\nNow find the lowest leaf in the first row. The lowest leaf is 8.\n\nThe smallest number of pieces of pepperoni has a stem of 1 and a leaf of 8. Write the stem first, then the leaf: 18.\n\nThe smallest number of pieces of pepperoni is 18 pieces of pepperoni.", "answer": "18", "table": "**Pieces of pepperoni per pizza**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 8, 9 |\n| 2 | 1, 2 |\n| 3 | |\n| 4 | 6, 7 |" } ] }, { "id": "21535", "image": "21535.png", "conversations": [ { "from": "human", "question": "To figure out how many vacation days he had left to use, Evan looked over his old calendars to figure out how many days of vacation he had taken each year. According to the table, what was the rate of change between 2017 and 2018?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{31 vacation days - 35 vacation days}{2018 - 2017}\n = \\frac{31 vacation days - 35 vacation days}{1 year}\n = \\frac{-4 vacation days}{1 year}\n = -4 vacation days per year\nThe rate of change between 2017 and 2018 was - 4 vacation days per year.", "answer": "-4", "table": "**Vacation days taken by Evan**\n\n| Year | Vacation days |\n| --- | --- |\n| 2014 | 32 |\n| 2015 | 35 |\n| 2016 | 34 |\n| 2017 | 35 |\n| 2018 | 31 |" } ] }, { "id": "21540", "image": "21540.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which movie begins at 10.20 A.M.? Music Band. True Story of the Musicians Wildlife in the Wild. Elephants\n" }, { "from": "gpt", "solution": "Find 10:20 A. M. on the schedule. Music Band: True Story of the Musicians begins at 10:20 A. M.", "answer": "Music Band: True Story of the Musicians", "table": "**Movie schedule**\n\n| Movie | Begin | End |\n| --- | --- | --- |\n| Scary Ghost Movie | 7:20 A.M. | 9:40 A.M. |\n| The Lonely Innkeeper of the West | 9:10 A.M. | 11:20 A.M. |\n| Music Band: True Story of the Musicians | 10:20 A.M. | 11:25 A.M. |\n| Wildlife in the Wild: Elephants | 10:50 A.M. | 12:50 P.M. |\n| The Wizard in the Cereal Box | 11:50 A.M. | 1:35 P.M. |\n| Pirates in Pirate Ships | 12:45 P.M. | 1:55 P.M. |\n| Laugh Ha Ha, a Comedy | 1:15 P.M. | 2:20 P.M. |\n| Dangerous Duck in Cartoon City | 1:45 P.M. | 3:20 P.M. |\n| Two People Happy Together | 2:50 P.M. | 4:30 P.M. |" } ] }, { "id": "21543", "image": "21543.png", "conversations": [ { "from": "human", "question": "Alvin counted the number of problems on each of his tests. How many tests had fewer than 50 problems?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 2, 3, and 4.\n\nYou counted 6 leaves, which are blue in the stem-and-leaf plot above. 6 tests had fewer than 50 problems.", "answer": "6", "table": "**Problems per test**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 1, 9, 9 |\n| 3 | 8 |\n| 4 | 2, 5 |\n| 5 | 2, 5, 8 |\n| 6 | 8 |\n| 7 | 0, 7 |\n| 8 | 1, 4 |" } ] }, { "id": "21545", "image": "21545.png", "conversations": [ { "from": "human", "question": "Mitchell has $7.00. Does he have enough to buy a glass of lemonade and a spinach salad?\n" }, { "from": "gpt", "solution": "Add the price of a glass of lemonade and the price of a spinach salad:\n\n$1.38 + $5.75 = $7.13\n\n$7.13 is more than $7.00. Mitchell does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| spinach salad | $5.75 |\n| slice of peach pie | $1.12 |\n| glass of lemonade | $1.38 |\n| piece of cornbread | $1.19 |" } ] }, { "id": "21564", "image": "21564.png", "conversations": [ { "from": "human", "question": "The owner of a bed and breakfast inn recalled how many guests the inn had hosted each day. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 2, 4, 2, 7, 8\n\nFirst, count how many numbers are in the group.\n\nThere are 6 numbers.\n\nNow add all the numbers together:\n\n7 + 2 + 4 + 2 + 7 + 8 = 30\n\nNow divide the sum by the number of numbers:\n\n30 ÷ 6 = 5\n\nThe mean is 5.", "answer": "5", "table": "**Inn guests**\n\n| Day | Number of guests |\n| --- | --- |\n| Monday | 7 |\n| Tuesday | 2 |\n| Wednesday | 4 |\n| Thursday | 2 |\n| Friday | 7 |\n| Saturday | 8 |" } ] }, { "id": "21571", "image": "21571.png", "conversations": [ { "from": "human", "question": "The members of the cycling club compared how many miles they biked last week. Who biked the fewest miles?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 12.\n\nNow find the corresponding name. Keith corresponds to 12.", "answer": "Keith", "table": "**Biking last week**\n\n| Name | Miles |\n| --- | --- |\n| Paul | 18 |\n| Anthony | 16 |\n| Keith | 12 |\n| Lauren | 19 |" } ] }, { "id": "21576", "image": "21576.png", "conversations": [ { "from": "human", "question": "Ms. Lawson reported her students' scores on the most recent quiz. What is the highest score?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 9.\n\nNow find the highest leaf in the last row. The highest leaf is 0.\n\nThe highest score has a stem of 9 and a leaf of 0. Write the stem first, then the leaf: 90.\n\nThe highest score is 90 points.", "answer": "90", "table": "**Quiz scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1 |\n| 2 | 0, 7 |\n| 3 | |\n| 4 | |\n| 5 | |\n| 6 | 5 |\n| 7 | 3 |\n| 8 | 2 |\n| 9 | 0 |" } ] }, { "id": "21578", "image": "21578.png", "conversations": [ { "from": "human", "question": "A sports fan decided to examine the pattern of medals won by certain countries at several Olympic games. Which country won more medals in 2004, Brazil or Sweden?\n" }, { "from": "gpt", "solution": "Find the 2004 column. Compare the numbers in this column for Brazil and Sweden.\n\n10 is more than 7. Brazil won more medals in 2004.", "answer": "Brazil", "table": "**Olympic medals**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 2000 | 2004 |\n| Sweden | 12 | 7 |\n| Finland | 4 | 2 |\n| Brazil | 12 | 10 |" } ] }, { "id": "21579", "image": "21579.png", "conversations": [ { "from": "human", "question": "Several people compared how many Web pages they had visited. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n5, 9, 5, 6, 6, 4, 2, 9\n\nFirst, find the greatest number. The greatest number is 9.\n\nNext, find the least number. The least number is 2.\n\nSubtract the least number from the greatest number:\n\n9 − 2 = 7\n\nThe range is 7.", "answer": "7", "table": "**Web pages visited**\n\n| Person | Number of Web pages |\n| --- | --- |\n| Kate | 5 |\n| Matthew | 9 |\n| Ron | 5 |\n| Hakim | 6 |\n| Bill | 6 |\n| Franco | 4 |\n| Tommy | 2 |\n| Ellen | 9 |" } ] }, { "id": "21583", "image": "21583.png", "conversations": [ { "from": "human", "question": "A restaurant's average food preparation time was tracked from day to day as part of an efficiency improvement program. According to the table, what was the rate of change between Monday and Tuesday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{22 minutes - 37 minutes}{1 day}\n = \\frac{-15 minutes}{1 day}\n = -15 minutes per day\nThe rate of change between Monday and Tuesday was - 15 minutes per day.", "answer": "-15", "table": "**Average food preparation time**\n\n| Day | Food preparation time (minutes) |\n| --- | --- |\n| Monday | 37 |\n| Tuesday | 22 |\n| Wednesday | 32 |\n| Thursday | 29 |\n| Friday | 19 |" } ] }, { "id": "21604", "image": "21604.png", "conversations": [ { "from": "human", "question": "How much more does a llama cost than an alpaca?\n" }, { "from": "gpt", "solution": "Subtract the price of an alpaca from the price of a llama.\n\n$2,360 - $1,218 = $1,142\n\nA llama costs $1,142 more than an alpaca.", "answer": "1,142", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| kinkajou | $1,603 |\n| llama | $2,360 |\n| python | $7,485 |\n| boa constrictor | $1,375 |\n| alpaca | $1,218 |\n| cockatiel | $1,079 |" } ] }, { "id": "21611", "image": "21611.png", "conversations": [ { "from": "human", "question": "A reporter looked through her notebook to remember how many people she had interviewed in the past 4 days. On which day did the reporter interview the fewest people?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 31.\n\nNow find the corresponding day. Saturday corresponds to 31.", "answer": "Saturday", "table": "**People interviewed**\n\n| Day | Number of people |\n| --- | --- |\n| Wednesday | 34 |\n| Thursday | 32 |\n| Friday | 35 |\n| Saturday | 31 |" } ] }, { "id": "21619", "image": "21619.png", "conversations": [ { "from": "human", "question": "How much money does Tammy need to buy a pale purple note card and a purple envelope?\n" }, { "from": "gpt", "solution": "Add the price of a pale purple note card and the price of a purple envelope:\n\n$0.04 + $0.07 = $0.11\n\nTammy needs $0.11.", "answer": "0.11", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| piece of floral stationery | $0.06 |\n| piece of polka-dotted paper | $0.09 |\n| pale purple note card | $0.04 |\n| piece of red and purple stationery | $0.03 |\n| purple envelope | $0.07 |" } ] }, { "id": "21621", "image": "21621.png", "conversations": [ { "from": "human", "question": "Mrs. Herrera, the biology teacher, asked her students how many times they went to the science museum last year. How many students went to the science museum at least 4 times?\n" }, { "from": "gpt", "solution": "Find the rows for 4 and 5 times. Add the frequencies for these rows.\n\nAdd:\n\n14 + 5 = 19\n\n19 students went to the science museum at least 4 times.", "answer": "19", "table": "**Trips to the science museum last year**\n\n| Number of trips | Frequency |\n| --- | --- |\n| 0 | 12 |\n| 1 | 7 |\n| 2 | 13 |\n| 3 | 15 |\n| 4 | 14 |\n| 5 | 5 |" } ] }, { "id": "21625", "image": "21625.png", "conversations": [ { "from": "human", "question": "Look at this table. Is this relation a function?\n" }, { "from": "gpt", "solution": "Look at the x-values in the table.\n\nThe x-value 14 is paired with multiple y-values, so the relation is not a function.", "answer": "no", "table": "| x | y |\n| --- | --- |\n| 14 | 19 |\n| 3 | 20 |\n| 20 | 8 |\n| 14 | 16 |" } ] }, { "id": "21636", "image": "21636.png", "conversations": [ { "from": "human", "question": "Toby went to the store. He bought 1/4 of a pound of bran flakes. How much did he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the bran flakes. Multiply the price per pound by the number of pounds.\n$4 × \\frac{1}{4} = $4 × 0.25 = $1\nHe spent $1.", "answer": "1", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| bran flakes | $4/pound |\n| oatmeal | $6/pound |\n| multi-grain cereal | $6/pound |\n| granola | $5/pound |\n| rice crisps | $2/pound |\n| wheat flakes | $6/pound |" } ] }, { "id": "21638", "image": "21638.png", "conversations": [ { "from": "human", "question": "The manager of a party supply store researched how many balloons it sold in the past 5 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n5, 3, 7, 5, 5\n\nFirst, arrange the numbers from least to greatest:\n\n3, 5, 5, 5, 7\n\nNow find the number in the middle.\n\n3, 5, 5, 5, 7\n\nThe number in the middle is 5.\n\nThe median is 5.", "answer": "5", "table": "**Balloons sold**\n\n| Day | Number of balloons |\n| --- | --- |\n| Thursday | 5 |\n| Friday | 3 |\n| Saturday | 7 |\n| Sunday | 5 |\n| Monday | 5 |" } ] }, { "id": "21645", "image": "21645.png", "conversations": [ { "from": "human", "question": "Look at this table. Is this relation a function?\n" }, { "from": "gpt", "solution": "Look at the x-values in the table.\n\nEach of the x-values is paired with only one y-value, so the relation is a function.", "answer": "yes", "table": "| x | y |\n| --- | --- |\n| 8 | 14 |\n| 5 | 4 |\n| 6 | 19 |" } ] }, { "id": "21648", "image": "21648.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does the train depart from Lincoln Avenue?\n" }, { "from": "gpt", "solution": "Find Lincoln Avenue on the schedule. Find the departure time for Lincoln Avenue.\n\nLincoln Avenue: 12:10 P. M.", "answer": "12:10 P.M.", "table": "**Subway train schedule**\n\n| Location | Time |\n| --- | --- |\n| Lake Avenue | 10:30 A.M. |\n| Hill Road | 11:15 A.M. |\n| Jefferson Road | 11:20 A.M. |\n| Franklin Road | 11:30 A.M. |\n| West Road | 11:40 A.M. |\n| Lincoln Avenue | 12:10 P.M. |\n| Railroad Boulevard | 12:35 P.M. |\n| Walnut Avenue | 1:25 P.M. |\n| College Road | 1:40 P.M. |" } ] }, { "id": "21652", "image": "21652.png", "conversations": [ { "from": "human", "question": "Charlotte attended her town's annual Worm Charming Competition. Contestants are assigned to a square foot of land, where they have 30 minutes to \"charm\" worms to the surface of the dirt using a single technique. Charlotte observed contestants' charming techniques, and kept track of how many worms surfaced. What is the probability that a randomly selected contestant charmed 11-20 worms and tried tapping the ground? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the contestant charmed 11-20 worms\" and B be the event \"the contestant tried tapping the ground\".\nTo find the probability that a contestant charmed 11-20 worms and tried tapping the ground, first identify the sample space and the event.\nThe outcomes in the sample space are the different contestants. Each contestant is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the contestant charmed 11-20 worms and tried tapping the ground\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the contestant charmed 11-20 worms and tried tapping the ground\", so look at the table to see how many contestants charmed 11-20 worms and tried tapping the ground.\nThe number of contestants who charmed 11-20 worms and tried tapping the ground is 4.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of contestants.\n6 + 4 + 6 + 2 = 18\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{4}{18}\n = \\frac{2}{9}\nThe probability that a contestant charmed 11-20 worms and tried tapping the ground is \\frac{2}{9}.", "answer": "2/9", "table": "| | Tapping the ground | Raking the ground |\n| --- | --- | --- |\n| 5-10 worms | 6 | 6 |\n| 11-20 worms | 4 | 2 |" } ] }, { "id": "21681", "image": "21681.png", "conversations": [ { "from": "human", "question": "As part of a project for health class, Isaac surveyed local delis about the kinds of sandwiches sold. How many sandwiches did Kelly's Subs sell?\n" }, { "from": "gpt", "solution": "Find the row for Kelly's Subs. Add the numbers in the Kelly's Subs row.\n\nAdd:\n\n4 + 6 = 10\n\nKelly's Subs sold 10 sandwiches.", "answer": "10", "table": "**Sandwich sales**\n\n| Shop | Turkey sandwiches | Roast beef sandwiches |\n| --- | --- | --- |\n| Joe's Diner | 6 | 6 |\n| Sam's Sandwich Shop | 20 | 11 |\n| Alexandra's Deli | 19 | 18 |\n| Kelly's Subs | 4 | 6 |\n| Sandwich City | 4 | 19 |" } ] }, { "id": "21684", "image": "21684.png", "conversations": [ { "from": "human", "question": "A business analyst compared purchases of different types of cereal. Which cereal had the fewest boxes purchased?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 559.\n\nNow find the corresponding cereal. Caramel Deelish corresponds to 559.", "answer": "Caramel Deelish", "table": "**Boxes of cereal purchased**\n\n| Cereal | Number of boxes purchased |\n| --- | --- |\n| Fruit-E-Ohs | 596 |\n| Caramel Deelish | 559 |\n| Toasted Treats | 569 |\n| Krispee Bites | 565 |" } ] }, { "id": "21686", "image": "21686.png", "conversations": [ { "from": "human", "question": "Look at this table. Is this relation a function?\n" }, { "from": "gpt", "solution": "Look at the x-values in the table.\n\nThe x-value 17 is paired with multiple y-values, so the relation is not a function.", "answer": "no", "table": "| x | y |\n| --- | --- |\n| 17 | 16 |\n| 17 | 2 |\n| 16 | 5 |\n| 3 | 6 |" } ] }, { "id": "21691", "image": "21691.png", "conversations": [ { "from": "human", "question": "The parks department compared how many basketball hoops there are at each park. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 11, 11, 9, 10, 10, 10\n\nFirst, arrange the numbers from least to greatest:\n\n9, 9, 10, 10, 10, 11, 11\n\nNow count how many times each number appears.\n\n9 appears 2 times.\n10 appears 3 times.\n11 appears 2 times.\n\nThe number that appears most often is 10.\n\nThe mode is 10.", "answer": "10", "table": "**Basketball hoops**\n\n| Park | Number of basketball hoops |\n| --- | --- |\n| Pinehurst Park | 9 |\n| Westfield Park | 11 |\n| Linden Park | 11 |\n| Crestview Park | 9 |\n| Otter Park | 10 |\n| Mooreland Park | 10 |\n| Kelly Park | 10 |" } ] }, { "id": "21696", "image": "21696.png", "conversations": [ { "from": "human", "question": "A pottery factory kept track of the number of broken plates per shipment last week. How many shipments had exactly 77 broken plates?\n" }, { "from": "gpt", "solution": "For the number 77, the stem is 7, and the leaf is 7. Find the row where the stem is 7. In that row, count all the leaves equal to 7.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 shipments had exactly 77 broken plates.", "answer": "3", "table": "**Broken plates per shipment**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 8 |\n| 3 | 4 |\n| 4 | 0 |\n| 5 | 8 |\n| 6 | 0, 6 |\n| 7 | 4, 6, 7, 7, 7 |\n| 8 | 0, 2, 7 |\n| 9 | 0 |" } ] }, { "id": "21699", "image": "21699.png", "conversations": [ { "from": "human", "question": "Troy has $0.13. Does he have enough to buy a sour apple candy and a gum drop?\n" }, { "from": "gpt", "solution": "Add the price of a sour apple candy and the price of a gum drop:\n\n$0.06 + $0.09 = $0.15\n\n$0.15 is more than $0.13. Troy does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| sour apple candy | $0.06 |\n| piece of licorice | $0.02 |\n| gummy bear | $0.05 |\n| gum drop | $0.09 |" } ] }, { "id": "21707", "image": "21707.png", "conversations": [ { "from": "human", "question": "An employee at the candle factory reported on the number of candles made each month. How many more candles did the factory make in June than in April?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nJune: 6,872\nApril: 1,183\n\nNow subtract: 6,872 - 1,183 = 5,689.\n\nThe factory made 5,689 more candles in June.", "answer": "5,689", "table": "**Candles made**\n\n| Month | Number of candles |\n| --- | --- |\n| April | 1,183 |\n| May | 8,469 |\n| June | 6,872 |\n| July | 4,077 |" } ] }, { "id": "21709", "image": "21709.png", "conversations": [ { "from": "human", "question": "How much money does Erica need to buy a softball glove and a swimsuit?\n" }, { "from": "gpt", "solution": "Add the price of a softball glove and the price of a swimsuit:\n\n$19.84 + $19.14 = $38.98\n\nErica needs $38.98.", "answer": "38.98", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| volleyball net | $27.58 |\n| softball glove | $19.84 |\n| swimsuit | $19.14 |\n| football | $10.18 |\n| basketball | $18.88 |\n| scooter | $32.96 |" } ] }, { "id": "21714", "image": "21714.png", "conversations": [ { "from": "human", "question": "A pizza chef recalled how many pizzas she had made during the past 7 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n1, 7, 5, 7, 2, 6, 6\n\nFirst, find the greatest number. The greatest number is 7.\n\nNext, find the least number. The least number is 1.\n\nSubtract the least number from the greatest number:\n\n7 − 1 = 6\n\nThe range is 6.", "answer": "6", "table": "**Pizzas made**\n\n| Day | Number of pizzas |\n| --- | --- |\n| Saturday | 1 |\n| Sunday | 7 |\n| Monday | 5 |\n| Tuesday | 7 |\n| Wednesday | 2 |\n| Thursday | 6 |\n| Friday | 6 |" } ] }, { "id": "21725", "image": "21725.png", "conversations": [ { "from": "human", "question": "A vendor who sold bread at farmers' markets counted the number of leftover loaves at the end of each day. According to the table, what was the rate of change between Sunday and Monday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{13 loaves - 20 loaves}{1 day}\n = \\frac{-7 loaves}{1 day}\n = -7 loaves per day\nThe rate of change between Sunday and Monday was - 7 loaves per day.", "answer": "-7", "table": "**Loaves of leftover bread**\n\n| Day | Leftover loaves |\n| --- | --- |\n| Sunday | 20 |\n| Monday | 13 |\n| Tuesday | 13 |\n| Wednesday | 7 |\n| Thursday | 2 |" } ] }, { "id": "21735", "image": "21735.png", "conversations": [ { "from": "human", "question": "How much more does a desk cost than a hammock?\n" }, { "from": "gpt", "solution": "Subtract the price of a hammock from the price of a desk.\n\n$86.00 - $42.00 = $44.00\n\nA desk costs $44.00 more than a hammock.", "answer": "44", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| chest of drawers | $60.00 |\n| desk | $86.00 |\n| hammock | $42.00 |\n| set of bunk beds | $87.00 |" } ] }, { "id": "21751", "image": "21751.png", "conversations": [ { "from": "human", "question": "The teachers at an elementary school counted how many desks they had in their classrooms. Which teacher has the fewest desks?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 12.\n\nNow find the corresponding teacher. Ms. Peters corresponds to 12.", "answer": "Ms. Peters", "table": "**Desks in classrooms**\n\n| Teacher | Number of desks |\n| --- | --- |\n| Mrs. Wong | 14 |\n| Mr. Gruber | 19 |\n| Miss Yang | 18 |\n| Ms. Peters | 12 |" } ] }, { "id": "21752", "image": "21752.png", "conversations": [ { "from": "human", "question": "A newspaper researched how many grocery stores there are in each town. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n10, 6, 10, 8, 8, 8, 9, 9\n\nFirst, arrange the numbers from least to greatest:\n\n6, 8, 8, 8, 9, 9, 10, 10\n\nNow count how many times each number appears.\n\n6 appears 1 time.\n8 appears 3 times.\n9 appears 2 times.\n10 appears 2 times.\n\nThe number that appears most often is 8.\n\nThe mode is 8.", "answer": "8", "table": "**Grocery stores in each town**\n\n| Town | Number of stores |\n| --- | --- |\n| Ashland | 10 |\n| Chesterton | 6 |\n| Columbia | 10 |\n| Greenwood | 8 |\n| Richmond | 8 |\n| Salem | 8 |\n| Riverside | 9 |\n| Mayfield | 9 |" } ] }, { "id": "21767", "image": "21767.png", "conversations": [ { "from": "human", "question": "How much more does a pair of shoes cost than a red sweater?\n" }, { "from": "gpt", "solution": "Subtract the price of a red sweater from the price of a pair of shoes.\n\n$30.00 - $28.00 = $2.00\n\nA pair of shoes costs $2.00 more than a red sweater.", "answer": "2", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pair of shoes | $30.00 |\n| pair of tennis shoes | $41.00 |\n| pair of boots | $28.00 |\n| pair of jeans | $34.00 |\n| red sweater | $28.00 |" } ] }, { "id": "21769", "image": "21769.png", "conversations": [ { "from": "human", "question": "How much money does Brooke need to buy a white spindle shell and a whole sand dollar?\n" }, { "from": "gpt", "solution": "Add the price of a white spindle shell and the price of a whole sand dollar:\n\n$0.03 + $0.05 = $0.08\n\nBrooke needs $0.08.", "answer": "0.08", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pink conch shell | $0.04 |\n| white spindle shell | $0.03 |\n| pink and white striped shell | $0.08 |\n| oyster shell | $0.09 |\n| whole sand dollar | $0.05 |" } ] }, { "id": "21773", "image": "21773.png", "conversations": [ { "from": "human", "question": "An agricultural agency is researching how much cheese people have been eating in different parts of the world. How much more cheese did Austria consume per capita in 2006 than in 1996?\n" }, { "from": "gpt", "solution": "Find the Austria row. Find the numbers in this row for 2006 and 1996.\n\n2006: 17\n1996: 10\n\nNow subtract:\n\n17 − 10 = 7\n\nAustria consumed 7 kilograms more cheese per capita in 2006 than in 1996.", "answer": "7", "table": "**Cheese consumption per capita (kg)**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 1996 | 2006 |\n| Austria | 10 | 17 |\n| Argentina | 11 | 11 |\n| Great Britain | 9 | 10 |\n| Canada | 10 | 11 |" } ] }, { "id": "21779", "image": "21779.png", "conversations": [ { "from": "human", "question": "How much money does Aiden need to buy a red sweater and a pair of tennis shoes?\n" }, { "from": "gpt", "solution": "Add the price of a red sweater and the price of a pair of tennis shoes:\n\n$8.46 + $9.38 = $17.84\n\nAiden needs $17.84.", "answer": "17.84", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| red sweater | $8.46 |\n| yellow T-shirt | $9.20 |\n| pair of tennis shoes | $9.38 |\n| pair of black socks | $1.43 |\n| red hat | $5.42 |" } ] }, { "id": "21785", "image": "21785.png", "conversations": [ { "from": "human", "question": "Brennan wrote down how many spelling words he practiced each day. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n8, 10, 6, 6, 9, 9, 8\n\nFirst, count how many numbers are in the group.\n\nThere are 7 numbers.\n\nNow add all the numbers together:\n\n8 + 10 + 6 + 6 + 9 + 9 + 8 = 56\n\nNow divide the sum by the number of numbers:\n\n56 ÷ 7 = 8\n\nThe mean is 8.", "answer": "8", "table": "**Spelling words practiced**\n\n| Day | Number of spelling words |\n| --- | --- |\n| Sunday | 8 |\n| Monday | 10 |\n| Tuesday | 6 |\n| Wednesday | 6 |\n| Thursday | 9 |\n| Friday | 9 |\n| Saturday | 8 |" } ] }, { "id": "21790", "image": "21790.png", "conversations": [ { "from": "human", "question": "A doctor's records revealed how many patients he saw each month. How many more patients did the doctor see in March than in July?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nMarch: 1,723\nJuly: 1,150\n\nNow subtract: 1,723 - 1,150 = 573.\n\nThe doctor saw 573 more patients in March.", "answer": "573", "table": "**Patients seen**\n\n| Month | Number of patients |\n| --- | --- |\n| March | 1,723 |\n| April | 1,538 |\n| May | 1,385 |\n| June | 1,464 |\n| July | 1,150 |" } ] }, { "id": "21796", "image": "21796.png", "conversations": [ { "from": "human", "question": "An archer recalled how many times he hit the bull's-eye in the past 5 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n4, 8, 4, 3, 1\n\nFirst, arrange the numbers from least to greatest:\n\n1, 3, 4, 4, 8\n\nNow find the number in the middle.\n\n1, 3, 4, 4, 8\n\nThe number in the middle is 4.\n\nThe median is 4.", "answer": "4", "table": "**Bull's-eyes**\n\n| Day | Number of bull's-eyes |\n| --- | --- |\n| Sunday | 4 |\n| Monday | 8 |\n| Tuesday | 4 |\n| Wednesday | 3 |\n| Thursday | 1 |" } ] }, { "id": "21797", "image": "21797.png", "conversations": [ { "from": "human", "question": "Reagan looked at her calendar to figure out how much time she spent babysitting each month. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n5, 9, 5, 8, 5, 9\n\nFirst, arrange the numbers from least to greatest:\n\n5, 5, 5, 8, 9, 9\n\nNow count how many times each number appears.\n\n5 appears 3 times.\n8 appears 1 time.\n9 appears 2 times.\n\nThe number that appears most often is 5.\n\nThe mode is 5.", "answer": "5", "table": "**Hours of babysitting**\n\n| Month | Hours |\n| --- | --- |\n| September | 5 |\n| October | 9 |\n| November | 5 |\n| December | 8 |\n| January | 5 |\n| February | 9 |" } ] }, { "id": "21800", "image": "21800.png", "conversations": [ { "from": "human", "question": "How much money does Kelly need to buy a bucket and a padlock?\n" }, { "from": "gpt", "solution": "Add the price of a bucket and the price of a padlock:\n\n$5 + $6 = $11\n\nKelly needs $11.", "answer": "11", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| bucket | $5 |\n| mop | $6 |\n| measuring tape | $8 |\n| padlock | $6 |" } ] }, { "id": "21808", "image": "21808.png", "conversations": [ { "from": "human", "question": "A video store clerk looked up the number of movies checked out each day. How many more movies were checked out on Saturday than on Friday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nSaturday: 546\nFriday: 122\n\nNow subtract: 546 - 122 = 424.\n\n424 more movies were checked out on Saturday.", "answer": "424", "table": "**Movies checked out**\n\n| Day | Number of movies |\n| --- | --- |\n| Thursday | 387 |\n| Friday | 122 |\n| Saturday | 546 |" } ] }, { "id": "21816", "image": "21816.png", "conversations": [ { "from": "human", "question": "Dalton kept a log of how many pages he read each month. In which month did Dalton read the most pages?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 69.\n\nNow find the corresponding month. July corresponds to 69.", "answer": "July", "table": "**Pages read**\n\n| Month | Number of pages |\n| --- | --- |\n| June | 60 |\n| July | 69 |\n| August | 64 |\n| September | 61 |" } ] }, { "id": "21819", "image": "21819.png", "conversations": [ { "from": "human", "question": "Gabe, a huge fan, tracked the scores on his favorite radio quiz show. Which score did the fewest people receive?\n" }, { "from": "gpt", "solution": "Look at the frequency column. Find the least frequency. The least frequency is 1, which is in the row for 3. The fewest people scored 3.", "answer": "3", "table": "**Scores on a radio quiz show**\n\n| Score | Frequency |\n| --- | --- |\n| 0 | 19 |\n| 1 | 20 |\n| 2 | 17 |\n| 3 | 1 |\n| 4 | 11 |\n| 5 | 10 |" } ] }, { "id": "21820", "image": "21820.png", "conversations": [ { "from": "human", "question": "Warren found out the sizes of all the clubs at his school. How many clubs have exactly 64 members?\n" }, { "from": "gpt", "solution": "For the number 64, the stem is 6, and the leaf is 4. Find the row where the stem is 6. In that row, count all the leaves equal to 4.\n\nYou counted 0 leaves. 0 clubs have exactly 64 members.", "answer": "0", "table": "**Club sizes (number of members)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 2, 4, 6, 7, 7 |\n| 2 | 0 |\n| 3 | 2 |\n| 4 | 2, 4, 6 |\n| 5 | 2 |\n| 6 | |\n| 7 | 1, 6, 9 |\n| 8 | 0, 1, 4, 6, 9 |" } ] }, { "id": "21822", "image": "21822.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $900, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $900, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $500 | 13,700 | 2,900 |\n| $700 | 10,700 | 6,200 |\n| $900 | 7,700 | 9,500 |\n| $1,100 | 4,700 | 12,800 |\n| $1,300 | 1,700 | 16,100 |" } ] }, { "id": "21823", "image": "21823.png", "conversations": [ { "from": "human", "question": "Franklin has $128. Does he have enough to buy a program signed by a famous dancer and a jersey signed by a famous hockey player?\n" }, { "from": "gpt", "solution": "Add the price of a program signed by a famous dancer and the price of a jersey signed by a famous hockey player:\n\n$37 + $99 = $136\n\n$136 is more than $128. Franklin does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| jersey signed by a famous hockey player | $99 |\n| book signed by a famous author | $78 |\n| DVD signed by a famous comedian | $29 |\n| skate signed by a famous figure skater | $88 |\n| photograph signed by a famous race car driver | $23 |\n| program signed by a famous dancer | $37 |" } ] }, { "id": "21837", "image": "21837.png", "conversations": [ { "from": "human", "question": "A cable company analyst paid attention to how many new customers it had each day. On which day did the cable company have the fewest new customers?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 779.\n\nNow find the corresponding day. Thursday corresponds to 779.", "answer": "Thursday", "table": "**New cable customers**\n\n| Day | Number of new customers |\n| --- | --- |\n| Tuesday | 787 |\n| Wednesday | 789 |\n| Thursday | 779 |\n| Friday | 798 |" } ] }, { "id": "21840", "image": "21840.png", "conversations": [ { "from": "human", "question": "How much money does Ron need to buy a green marble and a red kazoo?\n" }, { "from": "gpt", "solution": "Add the price of a green marble and the price of a red kazoo:\n\n$0.04 + $0.03 = $0.07\n\nRon needs $0.07.", "answer": "0.07", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| colorful pinwheel | $0.06 |\n| green marble | $0.04 |\n| red kazoo | $0.03 |\n| blue plastic block | $0.02 |\n| wooden block | $0.03 |\n| shapes stencil | $0.07 |" } ] }, { "id": "21847", "image": "21847.png", "conversations": [ { "from": "human", "question": "The Oxford Chamber of Commerce researched the number of employees working at local companies. How many companies have exactly 44 employees?\n" }, { "from": "gpt", "solution": "For the number 44, the stem is 4, and the leaf is 4. Find the row where the stem is 4. In that row, count all the leaves equal to 4.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 companies have exactly 44 employees.", "answer": "4", "table": "**Company sizes (number of employees)**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 1, 4 |\n| 3 | 9 |\n| 4 | 4, 4, 4, 4 |\n| 5 | |\n| 6 | 3 |\n| 7 | 9 |\n| 8 | |\n| 9 | 0 |" } ] }, { "id": "21851", "image": "21851.png", "conversations": [ { "from": "human", "question": "Ava wants to buy 3.3 pounds of raspberry pancake mix. How much will she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the raspberry pancake mix. Multiply the price per pound by the number of pounds.\n$1 × 3.3 = $3.30\nShe will spend $3.30.", "answer": "3.30", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| raspberry pancake mix | $1/lb |\n| whole wheat pancake mix | $1/lb |\n| plain pancake mix | $3/lb |\n| buttermilk pancake mix | $3/lb |\n| chocolate chip pancake mix | $1/lb |\n| blueberry pancake mix | $1/lb |" } ] }, { "id": "21853", "image": "21853.png", "conversations": [ { "from": "human", "question": "A shipping company keeps track of the number of boxes in each shipment they send out. How many shipments had fewer than 72 boxes?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 5 and 6.\n\nIn the row with stem 7, count all the leaves less than 2.\n\nYou counted 5 leaves, which are blue in the stem-and-leaf plots above. 5 shipments had fewer than 72 boxes.", "answer": "5", "table": "**Boxes per shipment**\n\n| Stem | Leaf |\n| --- | --- |\n| 5 | 3, 8, 9 |\n| 6 | 4, 9 |\n| 7 | 5 |\n| 8 | 3, 8 |" } ] }, { "id": "21854", "image": "21854.png", "conversations": [ { "from": "human", "question": "A machine at the candy factory dispensed different numbers of lemon-flavored candies into various bags. How many bags had at least 46 lemon-flavored candies but fewer than 58 lemon-flavored candies?\n" }, { "from": "gpt", "solution": "Find the row with stem 4. Count all the leaves greater than or equal to 6.\n\nIn the row with stem 5, count all the leaves less than 8.\n\nYou counted 5 leaves, which are blue in the stem-and-leaf plots above. 5 bags had at least 46 lemon-flavored candies but fewer than 58 lemon-flavored candies.", "answer": "5", "table": "**Lemon-flavored candies per bag**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 0, 3, 6, 7 |\n| 4 | 6 |\n| 5 | 0, 1, 4, 7, 8, 8 |\n| 6 | 0, 5, 6, 9, 9 |\n| 7 | 3 |\n| 8 | 2, 2, 3 |" } ] }, { "id": "21855", "image": "21855.png", "conversations": [ { "from": "human", "question": "Some friends played golf and compared their scores. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n65, 63, 67, 62, 60\n\nFirst, arrange the numbers from least to greatest:\n\n60, 62, 63, 65, 67\n\nNow find the number in the middle.\n\n60, 62, 63, 65, 67\n\nThe number in the middle is 63.\n\nThe median is 63.", "answer": "63", "table": "**Golf scores**\n\n| Name | Score |\n| --- | --- |\n| Stacy | 65 |\n| Darnel | 63 |\n| Caleb | 67 |\n| Irma | 62 |\n| Estelle | 60 |" } ] }, { "id": "21861", "image": "21861.png", "conversations": [ { "from": "human", "question": "In considering whether to open a new branch, the city council examined the number of times some typical residents went to the library last month. How many people went to the library more than 3 times last month?\n" }, { "from": "gpt", "solution": "Find the row for 4 times last month and read the frequency. The frequency is 7.\n\n7 people went to the library more than 3 times last month.", "answer": "7", "table": "**Going to the library last month**\n\n| Number of trips | Frequency |\n| --- | --- |\n| 1 | 1 |\n| 2 | 10 |\n| 3 | 19 |\n| 4 | 7 |" } ] }, { "id": "21864", "image": "21864.png", "conversations": [ { "from": "human", "question": "Each bracelet has 5 purple beads. How many purple beads are on 3 bracelets?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 15 purple beads on 3 bracelets.", "answer": "15", "table": "| Number of bracelets | Number of purple beads |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | ? |" } ] }, { "id": "21872", "image": "21872.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $790, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $790, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $550 | 19,200 | 5,700 |\n| $610 | 16,000 | 6,600 |\n| $670 | 12,800 | 7,500 |\n| $730 | 9,600 | 8,400 |\n| $790 | 6,400 | 9,300 |" } ] }, { "id": "21880", "image": "21880.png", "conversations": [ { "from": "human", "question": "An athlete counted how many autographs he signed each day. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n10, 2, 4, 9, 10, 8\n\nFirst, find the greatest number. The greatest number is 10.\n\nNext, find the least number. The least number is 2.\n\nSubtract the least number from the greatest number:\n\n10 − 2 = 8\n\nThe range is 8.", "answer": "8", "table": "**Autographs signed**\n\n| Day | Number of autographs |\n| --- | --- |\n| Friday | 10 |\n| Saturday | 2 |\n| Sunday | 4 |\n| Monday | 9 |\n| Tuesday | 10 |\n| Wednesday | 8 |" } ] }, { "id": "21883", "image": "21883.png", "conversations": [ { "from": "human", "question": "How much money does Anthony need to buy an apple and an orange?\n" }, { "from": "gpt", "solution": "Add the price of an apple and the price of an orange:\n\n$0.39 + $0.52 = $0.91\n\nAnthony needs $0.91.", "answer": "0.91", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| orange | $0.52 |\n| onion | $0.39 |\n| apple | $0.39 |\n| tomato | $0.70 |\n| red pepper | $0.86 |" } ] }, { "id": "21897", "image": "21897.png", "conversations": [ { "from": "human", "question": "Dwayne graphed the daily low temperature for 6 days. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n5, 14, 13, 9, 6, 7\n\nFirst, count how many numbers are in the group.\n\nThere are 6 numbers.\n\nNow add all the numbers together:\n\n5 + 14 + 13 + 9 + 6 + 7 = 54\n\nNow divide the sum by the number of numbers:\n\n54 ÷ 6 = 9\n\nThe mean is 9.", "answer": "9", "table": "**Daily low temperature**\n\n| Day | Temperature (°C) |\n| --- | --- |\n| Wednesday | 5 |\n| Thursday | 14 |\n| Friday | 13 |\n| Saturday | 9 |\n| Sunday | 6 |\n| Monday | 7 |" } ] }, { "id": "21898", "image": "21898.png", "conversations": [ { "from": "human", "question": "Bryce counted the number of problems on each of his tests. How many tests had at least 51 problems?\n" }, { "from": "gpt", "solution": "Find the row with stem 5. Count all the leaves greater than or equal to 1.\n\nCount all the leaves in the rows with stems 6, 7, and 8.\n\nYou counted 13 leaves, which are blue in the stem-and-leaf plots above. 13 tests had at least 51 problems.", "answer": "13", "table": "**Problems per test**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 0, 0, 5, 9 |\n| 4 | 4, 8 |\n| 5 | 3, 5, 7 |\n| 6 | 1, 6, 6 |\n| 7 | 3, 4 |\n| 8 | 1, 1, 3, 3, 8 |" } ] }, { "id": "21900", "image": "21900.png", "conversations": [ { "from": "human", "question": "A concession stand worker at the movie theater looked up how many bags of popcorn were sold in the past 7 days. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n5, 1, 3, 5, 3, 3, 1\n\nFirst, arrange the numbers from least to greatest:\n\n1, 1, 3, 3, 3, 5, 5\n\nNow count how many times each number appears.\n\n1 appears 2 times.\n3 appears 3 times.\n5 appears 2 times.\n\nThe number that appears most often is 3.\n\nThe mode is 3.", "answer": "3", "table": "**Bags of popcorn sold**\n\n| Day | Number of bags of popcorn |\n| --- | --- |\n| Sunday | 5 |\n| Monday | 1 |\n| Tuesday | 3 |\n| Wednesday | 5 |\n| Thursday | 3 |\n| Friday | 3 |\n| Saturday | 1 |" } ] }, { "id": "21905", "image": "21905.png", "conversations": [ { "from": "human", "question": "Brian purchased 1/2 of a pound of breaded chicken. What was the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the breaded chicken. Multiply the price per pound by the number of pounds.\n$10 × \\frac{1}{2} = $10 × 0.5 = $5\nThe total cost was $5.", "answer": "5", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| breaded chicken | $10/pound |\n| sauteed chicken | $6/pound |\n| roast chicken | $9/pound |\n| fried chicken | $7/pound |\n| baked chicken | $6/pound |\n| curried chicken | $9/pound |" } ] }, { "id": "21906", "image": "21906.png", "conversations": [ { "from": "human", "question": "How much money does Gina need to buy a designer ball gown and a designer watch?\n" }, { "from": "gpt", "solution": "Add the price of a designer ball gown and the price of a designer watch:\n\n$5,347.00 + $6,292.00 = $11,639.00\n\nGina needs $11,639.00.", "answer": "11,639", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| designer ball gown | $5,347.00 |\n| designer coat | $9,698.00 |\n| designer watch | $6,292.00 |\n| pair of designer shoes | $6,112.00 |" } ] }, { "id": "21913", "image": "21913.png", "conversations": [ { "from": "human", "question": "How much money does Malik need to buy 4 TV stands?\n" }, { "from": "gpt", "solution": "Find the total cost of 4 TV stands by multiplying 4 times the price of a TV stand.\n\n$33 × 4 = $132\n\nMalik needs $132.", "answer": "132", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| chest of drawers | $52 |\n| footstool | $17 |\n| nightstand | $35 |\n| bookcase | $92 |\n| TV stand | $33 |" } ] }, { "id": "21918", "image": "21918.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which event begins at 2.00 P.M.?\n" }, { "from": "gpt", "solution": "Find 2:00 P. M. on the schedule. The kickball game begins at 2:00 P. M.", "answer": "kickball game", "table": "**School picnic schedule**\n\n| Event | Begin | End |\n| --- | --- | --- |\n| pie-eating contest | 10:55 A.M. | 11:45 A.M. |\n| lunch | 11:30 A.M. | 12:30 P.M. |\n| softball game | 12:30 P.M. | 1:20 P.M. |\n| water balloon toss | 1:20 P.M. | 1:50 P.M. |\n| kickball game | 2:00 P.M. | 3:00 P.M. |" } ] }, { "id": "21925", "image": "21925.png", "conversations": [ { "from": "human", "question": "A charity recorded how many donations it received each month. In which month did the charity receive the most donations?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 385.\n\nNow find the corresponding month. October corresponds to 385.", "answer": "October", "table": "**Charity donations**\n\n| Month | Number of donations |\n| --- | --- |\n| July | 353 |\n| August | 331 |\n| September | 358 |\n| October | 385 |" } ] }, { "id": "21926", "image": "21926.png", "conversations": [ { "from": "human", "question": "For a social studies project, Victoria counted the number of classrooms in each school in the city. How many schools have at least 58 classrooms but fewer than 65 classrooms?\n" }, { "from": "gpt", "solution": "Find the row with stem 5. Count all the leaves greater than or equal to 8.\n\nIn the row with stem 6, count all the leaves less than 5.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plots above. 2 schools have at least 58 classrooms but fewer than 65 classrooms.", "answer": "2", "table": "**Classrooms per school**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 3, 8 |\n| 2 | 1, 5, 7, 8 |\n| 3 | 1, 2 |\n| 4 | 0, 0, 3, 3, 5, 5, 6, 7, 8 |\n| 5 | 1, 2, 3, 8 |\n| 6 | 0, 6, 9 |" } ] }, { "id": "21930", "image": "21930.png", "conversations": [ { "from": "human", "question": "How much more does a set of golf clubs cost than a wetsuit?\n" }, { "from": "gpt", "solution": "Subtract the price of a wetsuit from the price of a set of golf clubs.\n\n$524.00 - $182.00 = $342.00\n\nA set of golf clubs costs $342.00 more than a wetsuit.", "answer": "342", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| set of golf clubs | $524.00 |\n| snowboard | $375.00 |\n| wetsuit | $182.00 |\n| surfboard | $320.00 |" } ] }, { "id": "21932", "image": "21932.png", "conversations": [ { "from": "human", "question": "Teachers at Dover Elementary School asked students to name their favorite desserts. What fraction of the votes were for frozen yogurt? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many students voted for frozen yogurt.\n\n350\n\nFind how many votes there were in total.\n\n310 + 270 + 120 + 350 + 240 = 1,290\n\nDivide 350 by1,290.\n\n\\frac{350}{1,290}\n\nReduce the fraction.\n\n\\frac{350}{1,290} → \\frac{35}{129}\n\n\\frac{35}{129} of students voted for frozen yogurt.", "answer": "35/129", "table": "**Favorite desserts**\n\n| Dessert | Votes |\n| --- | --- |\n| Pudding | 310 |\n| Cookies | 270 |\n| Brownies | 120 |\n| Frozen yogurt | 350 |\n| Other | 240 |" } ] }, { "id": "21933", "image": "21933.png", "conversations": [ { "from": "human", "question": "Sofia buys 1/2 of a kilogram of Parmesan. What is the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the Parmesan. Multiply the price per kilogram by the number of kilograms.\n$2 × \\frac{1}{2} = $2 × 0.5 = $1\nThe total cost is $1.", "answer": "1", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| American cheese | $4 per kg |\n| Swiss | $4 per kg |\n| ricotta | $3 per kg |\n| gorgonzola | $2 per kg |\n| Parmesan | $2 per kg |" } ] }, { "id": "21935", "image": "21935.png", "conversations": [ { "from": "human", "question": "How much money does Darnell need to buy 4 Beagles?\n" }, { "from": "gpt", "solution": "Find the total cost of 4 Beagles by multiplying 4 times the price of a Beagle.\n\n$1,206.00 × 4 = $4,824.00\n\nDarnell needs $4,824.00.", "answer": "4,824", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| English Bulldog | $2,994.00 |\n| Yorkshire Terrier | $2,964.00 |\n| Beagle | $1,206.00 |\n| Australian Shepherd | $1,299.00 |\n| Akita | $4,603.00 |" } ] }, { "id": "21939", "image": "21939.png", "conversations": [ { "from": "human", "question": "A dog show enthusiast recorded the weight of the winning dog at recent dog shows. According to the table, what was the rate of change between 2007 and 2008?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{11 kilograms - 10 kilograms}{2008 - 2007}\n = \\frac{11 kilograms - 10 kilograms}{1 year}\n = \\frac{1 kilogram}{1 year}\n = 1 kilogram per year\nThe rate of change between 2007 and 2008 was 1 kilogram per year.", "answer": "1", "table": "**Weight of winning dog at a dog show**\n\n| Year | Weight (kg) |\n| --- | --- |\n| 2006 | 5 |\n| 2007 | 10 |\n| 2008 | 11 |\n| 2009 | 15 |\n| 2010 | 5 |" } ] }, { "id": "21949", "image": "21949.png", "conversations": [ { "from": "human", "question": "An insurance company compiled the number of doctor visits made by some patients last year. How many patients went to the doctor at least 1 time?\n" }, { "from": "gpt", "solution": "Find the rows for 1, 2, 3, 4, 5, and 6 times. Add the frequencies for these rows.\n\nAdd:\n\n16 + 5 + 3 + 0 + 2 + 20 = 46\n\n46 patients went to the doctor at least 1 time.", "answer": "46", "table": "**Doctor visits last year**\n\n| Number of trips | Frequency |\n| --- | --- |\n| 0 | 6 |\n| 1 | 16 |\n| 2 | 5 |\n| 3 | 3 |\n| 4 | 0 |\n| 5 | 2 |\n| 6 | 20 |" } ] }, { "id": "21954", "image": "21954.png", "conversations": [ { "from": "human", "question": "Dr. Greer, a zoo director, researched ticket prices at other zoos around the country. Which charges less for a senior ticket, the Cleveland Zoo or the Atlanta Zoo?\n" }, { "from": "gpt", "solution": "Find the Senior column. Compare the numbers in this column for Cleveland and Atlanta.\n\n$10.00 is less than $15.00. The Cleveland Zoo charges less for a senior.", "answer": "Cleveland", "table": "**Zoo ticket prices**\n\n| Zoo | Child | Senior |\n| --- | --- | --- |\n| Cleveland | $7 | $10 |\n| Houston | $6 | $6 |\n| Central Florida | $7 | $9 |\n| Atlanta | $14 | $15 |\n| Minnesota | $10 | $10 |" } ] }, { "id": "21955", "image": "21955.png", "conversations": [ { "from": "human", "question": "Some friends compared the sizes of their sticker collections. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n43, 36, 41, 45, 45, 48, 34\n\nFirst, find the greatest number. The greatest number is 48.\n\nNext, find the least number. The least number is 34.\n\nSubtract the least number from the greatest number:\n\n48 − 34 = 14\n\nThe range is 14.", "answer": "14", "table": "**Sticker collections**\n\n| Name | Number of stickers |\n| --- | --- |\n| Rafi | 43 |\n| Ariana | 36 |\n| Isaiah | 41 |\n| Herman | 45 |\n| Cara | 45 |\n| Samir | 48 |\n| Devin | 34 |" } ] }, { "id": "21957", "image": "21957.png", "conversations": [ { "from": "human", "question": "A charity recorded how many donations it received each month. How many total donations did the charity receive in July and October?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nJuly: 724\nOctober: 130\n\nNow add: 724 + 130 = 854.\n\nThe charity received 854 donations in July and October.", "answer": "854", "table": "**Charity donations**\n\n| Month | Number of donations |\n| --- | --- |\n| July | 724 |\n| August | 134 |\n| September | 100 |\n| October | 130 |" } ] }, { "id": "21958", "image": "21958.png", "conversations": [ { "from": "human", "question": "Each box has 2 popsicles. How many popsicles are in 5 boxes?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 10 popsicles in 5 boxes.", "answer": "10", "table": "| Number of boxes | Number of popsicles |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | 6 |\n| 4 | 8 |\n| 5 | ? |" } ] }, { "id": "21971", "image": "21971.png", "conversations": [ { "from": "human", "question": "Each bunch has 10 balloons. How many balloons are in 3 bunches?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 30 balloons in 3 bunches.", "answer": "30", "table": "| Number of bunches | Number of balloons |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | ? |" } ] }, { "id": "21972", "image": "21972.png", "conversations": [ { "from": "human", "question": "Devin's classmates revealed how many science articles they read. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n2, 5, 7, 8, 10\n\nFirst, arrange the numbers from least to greatest:\n\n2, 5, 7, 8, 10\n\nNow find the number in the middle.\n\n2, 5, 7, 8, 10\n\nThe number in the middle is 7.\n\nThe median is 7.", "answer": "7", "table": "**Science articles read**\n\n| Name | Number of science articles |\n| --- | --- |\n| Devin | 2 |\n| Zach | 5 |\n| Sanjay | 7 |\n| Kristen | 8 |\n| Lee | 10 |" } ] }, { "id": "21983", "image": "21983.png", "conversations": [ { "from": "human", "question": "Amanda has $11,631.00. Does she have enough to buy a funnel cake stand and an ice cream truck?\n" }, { "from": "gpt", "solution": "Add the price of a funnel cake stand and the price of an ice cream truck:\n\n$5,293.00 + $6,382.00 = $11,675.00\n\n$11,675.00 is more than $11,631.00. Amanda does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| funnel cake stand | $5,293.00 |\n| popsicle stand | $7,784.00 |\n| hot dog stand | $9,372.00 |\n| shaved ice cart | $5,576.00 |\n| ice cream truck | $6,382.00 |" } ] }, { "id": "21986", "image": "21986.png", "conversations": [ { "from": "human", "question": "A farmer recalled how many watermelons were harvested in the past 5 days. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n94, 92, 97, 93, 99\n\nFirst, count how many numbers are in the group.\n\nThere are 5 numbers.\n\nNow add all the numbers together:\n\n94 + 92 + 97 + 93 + 99 = 475\n\nNow divide the sum by the number of numbers:\n\n475 ÷ 5 = 95\n\nThe mean is 95.", "answer": "95", "table": "**Watermelons harvested**\n\n| Day | Number of watermelons |\n| --- | --- |\n| Friday | 94 |\n| Saturday | 92 |\n| Sunday | 97 |\n| Monday | 93 |\n| Tuesday | 99 |" } ] }, { "id": "21989", "image": "21989.png", "conversations": [ { "from": "human", "question": "A statistician analyzed the number of runs scored by players last season. How many players scored at least 3 runs last season?\n" }, { "from": "gpt", "solution": "Find the rows for 3 and 4 runs last season. Add the frequencies for these rows.\n\nAdd:\n\n8 + 4 = 12\n\n12 players scored at least 3 runs last season.", "answer": "12", "table": "**Baseball runs scored last season**\n\n| Runs scored | Frequency |\n| --- | --- |\n| 0 | 1 |\n| 1 | 9 |\n| 2 | 12 |\n| 3 | 8 |\n| 4 | 4 |" } ] }, { "id": "21995", "image": "21995.png", "conversations": [ { "from": "human", "question": "While doing a project for P. E. class, Ruth researched the number of athletes competing in an international sporting event. How many countries have fewer than 30 athletes?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1 and 2.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 countries have fewer than 30 athletes.", "answer": "3", "table": "**Athletes per country**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 6 |\n| 2 | 6, 7 |\n| 3 | 0, 5, 9 |\n| 4 | 2, 3 |\n| 5 | 7 |\n| 6 | 7 |\n| 7 | 2, 3, 4, 4 |\n| 8 | 2, 4, 5, 8 |" } ] }, { "id": "21997", "image": "21997.png", "conversations": [ { "from": "human", "question": "Each office has 5 stools. How many stools are in 5 offices?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 25 stools in 5 offices.", "answer": "25", "table": "| Number of offices | Number of stools |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | 20 |\n| 5 | ? |" } ] }, { "id": "22000", "image": "22000.png", "conversations": [ { "from": "human", "question": "Nora's class tracked how many newspapers each student collected for their recycling project. Together, how many newspapers did Nora and Raymond collect?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nNora: 1,333\nRaymond: 1,970\n\nNow add: 1,333 + 1,970 = 3,303.\n\nNora and Raymond collected 3,303 newspapers.", "answer": "3,303", "table": "**Newspapers collected**\n\n| Name | Number of newspapers |\n| --- | --- |\n| Stacy | 6,758 |\n| Nora | 1,333 |\n| Raymond | 1,970 |\n| Tanvi | 1,375 |\n| Jayla | 1,866 |" } ] }, { "id": "22006", "image": "22006.png", "conversations": [ { "from": "human", "question": "For a social studies project, Diana counted the number of classrooms in each school in the city. How many schools have at least 60 classrooms but fewer than 90 classrooms?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 6, 7, and 8.\n\nYou counted 17 leaves, which are blue in the stem-and-leaf plot above. 17 schools have at least 60 classrooms but fewer than 90 classrooms.", "answer": "17", "table": "**Classrooms per school**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 5, 8, 9 |\n| 5 | 1, 3, 4, 4, 8 |\n| 6 | 3, 4, 6, 8, 8 |\n| 7 | 0, 0, 1, 6 |\n| 8 | 0, 1, 1, 4, 7, 8, 9, 9 |" } ] }, { "id": "22008", "image": "22008.png", "conversations": [ { "from": "human", "question": "A baseball player paid attention to how many baseballs he hit in practice each day. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n8, 3, 7, 3, 9\n\nFirst, count how many numbers are in the group.\n\nThere are 5 numbers.\n\nNow add all the numbers together:\n\n8 + 3 + 7 + 3 + 9 = 30\n\nNow divide the sum by the number of numbers:\n\n30 ÷ 5 = 6\n\nThe mean is 6.", "answer": "6", "table": "**Baseballs hit**\n\n| Day | Number of baseballs |\n| --- | --- |\n| Sunday | 8 |\n| Monday | 3 |\n| Tuesday | 7 |\n| Wednesday | 3 |\n| Thursday | 9 |" } ] }, { "id": "22016", "image": "22016.png", "conversations": [ { "from": "human", "question": "The employee at the department store counted the number of ties on each tie rack. How many racks have exactly 22 ties?\n" }, { "from": "gpt", "solution": "For the number 22, the stem is 2, and the leaf is 2. Find the row where the stem is 2. In that row, count all the leaves equal to 2.\n\nYou counted 1 leaf, which is blue in the stem-and-leaf plot above. 1 rack has exactly22 ties.", "answer": "1", "table": "**Ties per rack**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 2, 6, 9 |\n| 3 | 3, 4, 6, 8 |\n| 4 | 8 |\n| 5 | 0, 1, 2, 6, 6, 9, 9 |" } ] }, { "id": "22020", "image": "22020.png", "conversations": [ { "from": "human", "question": "A health instructor surveyed all her students, and tallied the results. The first survey question asked, \"Do you adhere to a vegetarian diet or omnivorous diet?\" The second question asked, \"If you were to buy a pet today, which animal would it be?\" What is the probability that a randomly selected student would buy a dog and adheres to a vegetarian diet? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the student would buy a dog\" and B be the event \"the student adheres to a vegetarian diet\".\nTo find the probability that a student would buy a dog and adheres to a vegetarian diet, first identify the sample space and the event.\nThe outcomes in the sample space are the different students. Each student is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the student would buy a dog and adheres to a vegetarian diet\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the student would buy a dog and adheres to a vegetarian diet\", so look at the table to see how many students would buy a dog and adhere to a vegetarian diet.\nThe number of students who would buy a dog and adhere to a vegetarian diet is 4.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of students.\n4 + 2 + 3 + 3 = 12\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{4}{12}\n = \\frac{1}{3}\nThe probability that a student would buy a dog and adheres to a vegetarian diet is \\frac{1}{3}.", "answer": "1/3", "table": "| | A vegetarian diet | An omnivorous diet |\n| --- | --- | --- |\n| Dog | 4 | 3 |\n| Cat | 2 | 3 |" } ] }, { "id": "22021", "image": "22021.png", "conversations": [ { "from": "human", "question": "Each pile has 5 books. How many books are in 6 piles?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 30 books in 6 piles.", "answer": "30", "table": "| Number of piles | Number of books |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | 20 |\n| 5 | 25 |\n| 6 | ? |" } ] }, { "id": "22022", "image": "22022.png", "conversations": [ { "from": "human", "question": "The school cafeteria asked students about their favorite sandwiches before updating the lunch menu. Did more upper elementary students vote for chicken salad sandwiches or ham sandwiches?\n" }, { "from": "gpt", "solution": "Find the Upper elementary students column. Compare the numbers in this column for chicken salad and ham.\n\n18 is more than 14. More upper elementary students voted for ham sandwiches.", "answer": "ham", "table": "**Favorite sandwiches**\n\n| Sandwich | Lower elementary students | Upper elementary students |\n| --- | --- | --- |\n| Chicken salad | 9 | 14 |\n| Ham | 19 | 18 |\n| Cheese | 17 | 1 |\n| Peanut butter | 20 | 3 |" } ] }, { "id": "22032", "image": "22032.png", "conversations": [ { "from": "human", "question": "A Technical Assistance Manager monitored his customers' wait times. How many people waited for at least 70 minutes?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 7, 8, and 9.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 people waited for at least 70 minutes.", "answer": "4", "table": "**Technical assistance wait times (minutes)**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 1, 3, 9 |\n| 5 | 1, 3, 7, 8, 9 |\n| 6 | 3, 4, 9 |\n| 7 | 1 |\n| 8 | 4, 8 |\n| 9 | 0 |" } ] }, { "id": "22037", "image": "22037.png", "conversations": [ { "from": "human", "question": "The school district compared how many swings each elementary school has. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n1, 1, 7, 7, 8, 3, 1, 4\n\nFirst, count how many numbers are in the group.\n\nThere are 8 numbers.\n\nNow add all the numbers together:\n\n1 + 1 + 7 + 7 + 8 + 3 + 1 + 4 = 32\n\nNow divide the sum by the number of numbers:\n\n32 ÷ 8 = 4\n\nThe mean is 4.", "answer": "4", "table": "**Swings**\n\n| School | Number of swings |\n| --- | --- |\n| Canyon Elementary | 1 |\n| Lincoln Elementary | 1 |\n| Valley Elementary | 7 |\n| Newberry Elementary | 7 |\n| Shoreline Elementary | 8 |\n| Hillside Elementary | 3 |\n| Boyd Elementary | 1 |\n| Roseville Elementary | 4 |" } ] }, { "id": "22039", "image": "22039.png", "conversations": [ { "from": "human", "question": "Nora likes watching the show Engineering Marvels. In last night's episode, the engineering team visited a tall skyscraper and a deep mine. A banner at the bottom of the screen showed the elevation of each location the team visited. Which location is closer to sea level?\n" }, { "from": "gpt", "solution": "The top of the skyscraper has a positive elevation, so it is above sea level. The bottom of the mine has a negative elevation, so it is below sea level.\nTo find the location closer to sea level, use absolute value. Absolute value tells you how far each location is from sea level.\nTop of the skyscraper: |275| = 275\nBottom of the mine: |-260| = 260\nThe top of the skyscraper is 275 meters above sea level, but the bottom of the mine is only260 meters below sea level. The bottom of the mine is closer to sea level.", "answer": "bottom of the mine", "table": "| Location | Elevation (m) |\n| --- | --- |\n| Top of the skyscraper | 275 |\n| Bottom of the mine | -260 |" } ] }, { "id": "22040", "image": "22040.png", "conversations": [ { "from": "human", "question": "How much money does Colin need to buy a bucket and a wrench?\n" }, { "from": "gpt", "solution": "Add the price of a bucket and the price of a wrench:\n\n$6 + $7 = $13\n\nColin needs $13.", "answer": "13", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| mop | $7 |\n| broom | $8 |\n| wrench | $7 |\n| bucket | $6 |" } ] }, { "id": "22041", "image": "22041.png", "conversations": [ { "from": "human", "question": "Mr. Roy, the marine biology teacher, asked his students how many times they went to the beach last summer. How many students went to the beach more than 4 times?\n" }, { "from": "gpt", "solution": "Find the rows for 5 and 6 times. Add the frequencies for these rows.\n\nAdd:\n\n18 + 20 = 38\n\n38 students went to the beach more than 4 times.", "answer": "38", "table": "**Trips to the beach last summer**\n\n| Number of trips | Frequency |\n| --- | --- |\n| 0 | 12 |\n| 1 | 5 |\n| 2 | 15 |\n| 3 | 6 |\n| 4 | 2 |\n| 5 | 18 |\n| 6 | 20 |" } ] }, { "id": "22043", "image": "22043.png", "conversations": [ { "from": "human", "question": "A juice shop tracked how many smoothies it sold in the past 4 days. On which day did the shop sell the most smoothies?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 68.\n\nNow find the corresponding day. Sunday corresponds to 68.", "answer": "Sunday", "table": "**Smoothies sold**\n\n| Day | Number of smoothies |\n| --- | --- |\n| Saturday | 64 |\n| Sunday | 68 |\n| Monday | 63 |\n| Tuesday | 61 |" } ] }, { "id": "22050", "image": "22050.png", "conversations": [ { "from": "human", "question": "The Ashland Ski Resort asked its guests how many times they went sledding last winter. How many guests went sledding fewer than 2 times?\n" }, { "from": "gpt", "solution": "Find the rows for 0 and 1 time. Add the frequencies for these rows.\n\nAdd:\n\n12 + 1 = 13\n\n13 guests went sledding fewer than 2 times.", "answer": "13", "table": "**Sledding last winter**\n\n| Number of times | Frequency |\n| --- | --- |\n| 0 | 12 |\n| 1 | 1 |\n| 2 | 13 |\n| 3 | 9 |\n| 4 | 11 |\n| 5 | 14 |" } ] }, { "id": "22053", "image": "22053.png", "conversations": [ { "from": "human", "question": "Liz counted the number of peanuts in each bag of trail mix. How many bags had at least 31 peanuts but fewer than 43 peanuts?\n" }, { "from": "gpt", "solution": "Find the row with stem 3. Count all the leaves greater than or equal to 1.\n\nIn the row with stem 4, count all the leaves less than 3.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plots above. 2 bags had at least 31 peanuts but fewer than 43 peanuts.", "answer": "2", "table": "**Peanuts per bag of trail mix**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 3, 8 |\n| 2 | |\n| 3 | 4, 9 |\n| 4 | 3, 8 |" } ] }, { "id": "22056", "image": "22056.png", "conversations": [ { "from": "human", "question": "The school district compared how many swings each elementary school has. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n4, 7, 8, 4, 6, 6, 3\n\nFirst, find the greatest number. The greatest number is 8.\n\nNext, find the least number. The least number is 3.\n\nSubtract the least number from the greatest number:\n\n8 − 3 = 5\n\nThe range is 5.", "answer": "5", "table": "**Swings**\n\n| School | Number of swings |\n| --- | --- |\n| Hillside Elementary | 4 |\n| Canyon Elementary | 7 |\n| Roseville Elementary | 8 |\n| Boyd Elementary | 4 |\n| Lincoln Elementary | 6 |\n| Jefferson Elementary | 6 |\n| Valley Elementary | 3 |" } ] }, { "id": "22058", "image": "22058.png", "conversations": [ { "from": "human", "question": "Zane counted the number of cookies eaten by each customer at last week's bake sale. How many customers ate fewer than 2 cookies last week?\n" }, { "from": "gpt", "solution": "Find the row for 1 cookie last week and read the frequency. The frequency is 9.\n\n9 customers ate fewer than 2 cookies last week.", "answer": "9", "table": "**Eating cookies last week**\n\n| Cookies eaten | Frequency |\n| --- | --- |\n| 1 | 9 |\n| 2 | 18 |\n| 3 | 0 |\n| 4 | 20 |" } ] }, { "id": "22059", "image": "22059.png", "conversations": [ { "from": "human", "question": "A pet store owner had his staff count the number of fish in each tank. How many tanks have exactly 21 fish?\n" }, { "from": "gpt", "solution": "For the number 21, the stem is 2, and the leaf is 1. Find the row where the stem is 2. In that row, count all the leaves equal to 1.\n\nYou counted 1 leaf, which is blue in the stem-and-leaf plot above. 1 tank has exactly21 fish.", "answer": "1", "table": "**Fish per tank**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 1, 6 |\n| 3 | 0, 6 |\n| 4 | 0 |\n| 5 | 9 |\n| 6 | 0, 7 |\n| 7 | 7, 7 |\n| 8 | 3 |\n| 9 | 0 |" } ] }, { "id": "22060", "image": "22060.png", "conversations": [ { "from": "human", "question": "A real estate agent looked into how many houses were sold in different cities. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n29, 45, 31, 43, 33\n\nFirst, arrange the numbers from least to greatest:\n\n29, 31, 33, 43, 45\n\nNow find the number in the middle.\n\n29, 31, 33, 43, 45\n\nThe number in the middle is 33.\n\nThe median is 33.", "answer": "33", "table": "**House sales**\n\n| City | Number of houses sold |\n| --- | --- |\n| Briggs Corner | 29 |\n| New Hamburg | 45 |\n| Liberty City | 31 |\n| Fremont | 43 |\n| Pleasant Town | 33 |" } ] }, { "id": "22063", "image": "22063.png", "conversations": [ { "from": "human", "question": "Edna's Candies has been studying how much chocolate people have been eating in different countries. How much chocolate was consumed per capita in Poland in 2002?\n" }, { "from": "gpt", "solution": "First, find the row for Poland. Then find the number in the 2002 column.\n\nThis number is 3. In 2002, people in Poland consumed 3 kilograms of chocolate per capita.", "answer": "3", "table": "**Chocolate consumption per capita (kg)**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 2002 | 2005 |\n| Belgium | 8 | 11 |\n| Poland | 3 | 4 |\n| Denmark | 9 | 8 |\n| Germany | 10 | 11 |" } ] }, { "id": "22070", "image": "22070.png", "conversations": [ { "from": "human", "question": "Paula has $13,967. Does she have enough to buy a pretzel stand and a popsicle stand?\n" }, { "from": "gpt", "solution": "Add the price of a pretzel stand and the price of a popsicle stand:\n\n$8,591 + $5,600 = $14,191\n\n$14,191 is more than $13,967. Paula does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| popsicle stand | $5,600 |\n| peanut cart | $6,730 |\n| shaved ice cart | $7,510 |\n| pretzel stand | $8,591 |\n| popcorn cart | $8,947 |" } ] }, { "id": "22089", "image": "22089.png", "conversations": [ { "from": "human", "question": "A transportation analyst compared various bridges' tolls. Of the bridges shown, which charges the most for a truck?\n" }, { "from": "gpt", "solution": "Look at the numbers in the Truck column. Find the greatest number in this column.\n\nThe greatest number is $7.00, which is in the Golden Gate row. The Golden Gate bridge charges the most for a truck.", "answer": "Golden Gate", "table": "**Bridge tolls**\n\n| Bridge | Truck | Car |\n| --- | --- | --- |\n| Fort Madison | $4 | $1 |\n| San Mateo | $6 | $4 |\n| Golden Gate | $7 | $6 |" } ] }, { "id": "22105", "image": "22105.png", "conversations": [ { "from": "human", "question": "How much more does a ticket for a Mediterranean cruise cost than a ticket for a Caribbean cruise?\n" }, { "from": "gpt", "solution": "Subtract the price of a ticket for a Caribbean cruise from the price of a ticket for a Mediterranean cruise.\n\n$1,593.00 - $1,542.00 = $51.00\n\nA ticket for a Mediterranean cruise costs $51.00 more than a ticket for a Caribbean cruise.", "answer": "51", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| ticket for an Australian cruise | $4,178.00 |\n| ticket for a Caribbean cruise | $1,542.00 |\n| ticket for a Mexican cruise | $9,348.00 |\n| ticket for a Mediterranean cruise | $1,593.00 |" } ] }, { "id": "22108", "image": "22108.png", "conversations": [ { "from": "human", "question": "This table shows information about two occupations. In which occupation would you be at a greater risk of injury from electrical shocks?\n" }, { "from": "gpt", "solution": "Look at the description for each occupation.\nRadio announcers present programs over the radio. The microphones and antennas they use for recording and broadcasting are powered by electricity, but the risk of electrical shock from these devices is very low.\nElectrical line workers install and repair electrical power lines. They need to work near live power lines at high voltages. So, an electrical line worker would be at a greater risk of injury from electrical shocks.", "answer": "electrical line worker", "table": "| | Electrical line worker | Radio announcer |\n| --- | --- | --- |\n| Description | Electrical line workers install and repair electrical power lines. | Radio announcers present music, sports, news, and other programs over radio broadcasts. |\n| Typical education required | High school diploma, but many complete an apprenticeship | Bachelor's degree in journalism, broadcasting, or communications |\n| Median income | $72,500 per year | $31,000 per year |" } ] }, { "id": "22112", "image": "22112.png", "conversations": [ { "from": "human", "question": "What is the total cost for 4 pounds of chorizo?\n" }, { "from": "gpt", "solution": "Find the cost of the chorizo. Multiply the price per pound by the number of pounds.\n\n$4.09 × 4 = $16.36\n\nThe total cost is $16.36.", "answer": "16.36", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| salami | $5.38/lb |\n| chorizo | $4.09/lb |\n| liverwurst | $2.80/lb |\n| Italian sausage | $5.08/lb |" } ] }, { "id": "22124", "image": "22124.png", "conversations": [ { "from": "human", "question": "The owner of a plant nursery wrote down the number of roses on each bush. How many bushes have at least 60 roses but fewer than 70 roses?\n" }, { "from": "gpt", "solution": "Count all the leaves in the row with stem 6.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 bushes have at least 60 roses but fewer than 70 roses.", "answer": "3", "table": "**Roses per bush**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 3, 7 |\n| 3 | 0, 1, 1, 2, 5 |\n| 4 | 5, 6 |\n| 5 | 0, 6, 9, 9 |\n| 6 | 1, 3, 6 |\n| 7 | 2, 6, 7, 9, 9 |" } ] }, { "id": "22125", "image": "22125.png", "conversations": [ { "from": "human", "question": "Some farmers compared how many tractors they own. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n5, 2, 7, 1, 5, 1, 1\n\nFirst, find the greatest number. The greatest number is 7.\n\nNext, find the least number. The least number is 1.\n\nSubtract the least number from the greatest number:\n\n7 − 1 = 6\n\nThe range is 6.", "answer": "6", "table": "**Tractors**\n\n| Farmer | Number of tractors |\n| --- | --- |\n| Farmer John | 5 |\n| Farmer Jane | 2 |\n| Farmer Andy | 7 |\n| Farmer Rick | 1 |\n| Farmer Megan | 5 |\n| Farmer Rob | 1 |\n| Farmer Susie | 1 |" } ] }, { "id": "22131", "image": "22131.png", "conversations": [ { "from": "human", "question": "Dr. Shaw, a zoo director, researched ticket prices at other zoos around the country. Which charges more for a child ticket, the Minnesota Zoo or the San Francisco Zoo?\n" }, { "from": "gpt", "solution": "Find the Child column. Compare the numbers in this column for Minnesota and San Francisco.\n\n$10.00 is more than $9.00. The Minnesota Zoo charges more for a child.", "answer": "Minnesota", "table": "**Zoo ticket prices**\n\n| Zoo | Child | Senior |\n| --- | --- | --- |\n| Central Park | $5 | $7 |\n| Minnesota | $10 | $10 |\n| Los Angeles | $8 | $10 |\n| San Francisco | $9 | $12 |\n| Southern Nevada | $6 | $6 |" } ] }, { "id": "22143", "image": "22143.png", "conversations": [ { "from": "human", "question": "Finn has $17.00. Does he have enough to buy a gray sweatshirt and a pair of sweat pants?\n" }, { "from": "gpt", "solution": "Add the price of a gray sweatshirt and the price of a pair of sweat pants:\n\n$8.04 + $8.41 = $16.45\n\n$16.45 is less than $17.00. Finn does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pair of white socks | $2.92 |\n| gray sweatshirt | $8.04 |\n| pair of sweat pants | $8.41 |\n| striped shirt | $7.83 |\n| denim jacket | $7.49 |" } ] }, { "id": "22147", "image": "22147.png", "conversations": [ { "from": "human", "question": "Baldwin wrote down how many cups of lemonade he sold in the past 7 days. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 10, 0, 0, 10, 10, 9\n\nFirst, arrange the numbers from least to greatest:\n\n0, 0, 9, 9, 10, 10, 10\n\nNow count how many times each number appears.\n\n0 appears 2 times.\n9 appears 2 times.\n10 appears 3 times.\n\nThe number that appears most often is 10.\n\nThe mode is 10.", "answer": "10", "table": "**Cups of lemonade sold**\n\n| Day | Number of cups |\n| --- | --- |\n| Tuesday | 9 |\n| Wednesday | 10 |\n| Thursday | 0 |\n| Friday | 0 |\n| Saturday | 10 |\n| Sunday | 10 |\n| Monday | 9 |" } ] }, { "id": "22151", "image": "22151.png", "conversations": [ { "from": "human", "question": "While doing a project for P. E. class, Lillian researched the number of athletes competing in an international sporting event. What is the smallest number of athletes?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 1.\n\nNow find the lowest leaf in the first row. The lowest leaf is 4.\n\nThe smallest number of athletes has a stem of 1 and a leaf of 4. Write the stem first, then the leaf: 14.\n\nThe smallest number of athletes is 14 athletes.", "answer": "14", "table": "**Athletes per country**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 4, 8 |\n| 2 | 2, 2, 5 |\n| 3 | 0, 0, 2 |\n| 4 | |\n| 5 | 8 |\n| 6 | 2 |" } ] }, { "id": "22161", "image": "22161.png", "conversations": [ { "from": "human", "question": "Sasha kept track of the number of characters in each book she read. How many books had at least 10 characters but fewer than 40 characters?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1, 2, and 3.\n\nYou counted 13 leaves, which are blue in the stem-and-leaf plot above. 13 books had at least 10 characters but fewer than 40 characters.", "answer": "13", "table": "**Characters per book**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 5, 6, 7, 8, 9 |\n| 2 | 0, 0, 1, 3, 5, 7, 7, 9 |\n| 3 | |\n| 4 | 1, 3, 4, 5, 8, 9 |" } ] }, { "id": "22162", "image": "22162.png", "conversations": [ { "from": "human", "question": "Madelyn spent a week at the beach and recorded the number of shells she found each day. According to the table, what was the rate of change between Monday and Tuesday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{2 shells - 8 shells}{1 day}\n = \\frac{-6 shells}{1 day}\n = -6 shells per day\nThe rate of change between Monday and Tuesday was - 6 shells per day.", "answer": "-6", "table": "**Shells Madelyn found**\n\n| Day | Number of shells |\n| --- | --- |\n| Sunday | 6 |\n| Monday | 8 |\n| Tuesday | 2 |\n| Wednesday | 7 |\n| Thursday | 5 |" } ] }, { "id": "22164", "image": "22164.png", "conversations": [ { "from": "human", "question": "How much more does a hockey ticket cost than a football ticket?\n" }, { "from": "gpt", "solution": "Subtract the price of a football ticket from the price of a hockey ticket.\n\n$69.12 - $16.48 = $52.64\n\nA hockey ticket costs $52.64 more than a football ticket.", "answer": "52.64", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| hockey ticket | $69.12 |\n| golf ticket | $68.63 |\n| football ticket | $16.48 |\n| soccer ticket | $62.14 |" } ] }, { "id": "22174", "image": "22174.png", "conversations": [ { "from": "human", "question": "A girl compared the ages of her cousins. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n2, 7, 2, 7, 2\n\nFirst, arrange the numbers from least to greatest:\n\n2, 2, 2, 7, 7\n\nNow count how many times each number appears.\n\n2 appears 3 times.\n7 appears 2 times.\n\nThe number that appears most often is 2.\n\nThe mode is 2.", "answer": "2", "table": "**Ages of cousins**\n\n| Name | Age (years) |\n| --- | --- |\n| Elijah | 2 |\n| Bob | 7 |\n| Dominic | 2 |\n| Walter | 7 |\n| Miguel | 2 |" } ] }, { "id": "22177", "image": "22177.png", "conversations": [ { "from": "human", "question": "Sophia wrote down how many glasses of water she drank during the past 6 days. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n4, 3, 10, 10, 8, 7\n\nFirst, count how many numbers are in the group.\n\nThere are 6 numbers.\n\nNow add all the numbers together:\n\n4 + 3 + 10 + 10 + 8 + 7 = 42\n\nNow divide the sum by the number of numbers:\n\n42 ÷ 6 = 7\n\nThe mean is 7.", "answer": "7", "table": "**Glasses of water**\n\n| Day | Number of glasses |\n| --- | --- |\n| Friday | 4 |\n| Saturday | 3 |\n| Sunday | 10 |\n| Monday | 10 |\n| Tuesday | 8 |\n| Wednesday | 7 |" } ] }, { "id": "22180", "image": "22180.png", "conversations": [ { "from": "human", "question": "Mr. Freeman, a track coach, recorded the sizes of all the nearby track teams. What is the size of the smallest team?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 4.\n\nNow find the lowest leaf in the first row. The lowest leaf is 0.\n\nThe size of the smallest team has a stem of 4 and a leaf of 0. Write the stem first, then the leaf: 40.\n\nThe size of the smallest team is 40 members.", "answer": "40", "table": "**Track team sizes (number of members)**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 0, 2, 4, 5 |\n| 5 | 0, 7 |\n| 6 | 1, 1, 6 |\n| 7 | 2, 3, 8 |\n| 8 | 3, 4, 5, 7, 8 |" } ] }, { "id": "22182", "image": "22182.png", "conversations": [ { "from": "human", "question": "A food manufacturer surveyed consumers about their macaroni and cheese consumption. How many people ate macaroni and cheese more than 1 time?\n" }, { "from": "gpt", "solution": "Find the rows for 2, 3, 4, and 5 times. Add the frequencies for these rows.\n\nAdd:\n\n19 + 16 + 12 + 10 = 57\n\n57 people ate macaroni and cheese more than 1 time.", "answer": "57", "table": "**Eating macaroni and cheese last month**\n\n| Times eaten | Frequency |\n| --- | --- |\n| 0 | 1 |\n| 1 | 8 |\n| 2 | 19 |\n| 3 | 16 |\n| 4 | 12 |\n| 5 | 10 |" } ] }, { "id": "22188", "image": "22188.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{11 - 2}{18 - 17}\n = \\frac{9}{1}\n = 9\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{20 - 11}{19 - 18}\n = \\frac{9}{1}\n = 9\nThe two rates of change are the same.\nIf you checked the rate of change between rows 1 and 3, you would find that it is also 9.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 17 | 2 |\n| 18 | 11 |\n| 19 | 20 |" } ] }, { "id": "22196", "image": "22196.png", "conversations": [ { "from": "human", "question": "Some students compared how many blocks they live from school. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 5, 5, 7, 6, 7, 7\n\nFirst, arrange the numbers from least to greatest:\n\n5, 5, 6, 6, 7, 7, 7\n\nNow count how many times each number appears.\n\n5 appears 2 times.\n6 appears 2 times.\n7 appears 3 times.\n\nThe number that appears most often is 7.\n\nThe mode is 7.", "answer": "7", "table": "**Blocks from school**\n\n| Name | Number of blocks |\n| --- | --- |\n| Rosa | 6 |\n| Celine | 5 |\n| Naomi | 5 |\n| Jake | 7 |\n| Hector | 6 |\n| Eduardo | 7 |\n| Destiny | 7 |" } ] }, { "id": "22198", "image": "22198.png", "conversations": [ { "from": "human", "question": "Shelley has $272.00. Does she have enough to buy a lawn mower and an iron bench?\n" }, { "from": "gpt", "solution": "Add the price of a lawn mower and the price of an iron bench:\n\n$145.00 + $140.00 = $285.00\n\n$285.00 is more than $272.00. Shelley does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| barbecue grill | $548.00 |\n| fountain | $965.00 |\n| wooden bench | $291.00 |\n| iron bench | $140.00 |\n| picnic table | $598.00 |\n| lawn mower | $145.00 |" } ] }, { "id": "22199", "image": "22199.png", "conversations": [ { "from": "human", "question": "A farmer wrote down how many kilograms of cherries were sold in the past 5 days. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 10, 6, 10, 6\n\nFirst, arrange the numbers from least to greatest:\n\n6, 6, 6, 10, 10\n\nNow count how many times each number appears.\n\n6 appears 3 times.\n10 appears 2 times.\n\nThe number that appears most often is 6.\n\nThe mode is 6.", "answer": "6", "table": "**Cherries sold**\n\n| Day | Kilograms |\n| --- | --- |\n| Wednesday | 6 |\n| Thursday | 10 |\n| Friday | 6 |\n| Saturday | 10 |\n| Sunday | 6 |" } ] }, { "id": "22210", "image": "22210.png", "conversations": [ { "from": "human", "question": "Nate, a journalism student, counted the number of pages in several major magazines. How many magazines had exactly 89 pages?\n" }, { "from": "gpt", "solution": "For the number 89, the stem is 8, and the leaf is 9. Find the row where the stem is 8. In that row, count all the leaves equal to 9.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 magazines had exactly 89 pages.", "answer": "3", "table": "**Pages per magazine**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 2, 8 |\n| 3 | 7, 8, 9, 9 |\n| 4 | |\n| 5 | |\n| 6 | 6, 7 |\n| 7 | |\n| 8 | 3, 9, 9, 9 |" } ] }, { "id": "22216", "image": "22216.png", "conversations": [ { "from": "human", "question": "While hanging Christmas lights for neighbors, Jason counted the number of broken lights on each string. How many strings had less than 90 broken lights?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1, 2, 3, 4, 5, 6, 7, and 8.\n\nYou counted 24 leaves, which are blue in the stem-and-leaf plot above. 24 strings had less than 90 broken lights.", "answer": "24", "table": "**Broken lights per string**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 5, 8 |\n| 2 | 0, 2, 8, 8 |\n| 3 | 0, 4, 6 |\n| 4 | 0, 0, 2, 6 |\n| 5 | 4, 6, 7 |\n| 6 | 4, 5 |\n| 7 | 1, 6, 7, 9 |\n| 8 | 1, 5 |\n| 9 | 0 |" } ] }, { "id": "22231", "image": "22231.png", "conversations": [ { "from": "human", "question": "A race car driver kept track of how many laps he drove in the past 4 days. On which day did the driver do the most laps?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 98.\n\nNow find the corresponding day. Sunday corresponds to 98.", "answer": "Sunday", "table": "**Laps driven**\n\n| Day | Number of laps |\n| --- | --- |\n| Sunday | 98 |\n| Monday | 92 |\n| Tuesday | 93 |\n| Wednesday | 91 |" } ] }, { "id": "22238", "image": "22238.png", "conversations": [ { "from": "human", "question": "For a math assignment, students noted the number of times a wheel landed on the numbers 0 through 5. How many students spun a number less than 3?\n" }, { "from": "gpt", "solution": "Find the rows for 0, 1, and 2. Add the frequencies for these rows.\n\nAdd:\n\n0 + 3 + 14 = 17\n\n17 students spun a number less than 3.", "answer": "17", "table": "**Spinning a wheel numbered 0 through 5**\n\n| Number spun | Frequency |\n| --- | --- |\n| 0 | 0 |\n| 1 | 3 |\n| 2 | 14 |\n| 3 | 13 |\n| 4 | 16 |\n| 5 | 18 |" } ] }, { "id": "22239", "image": "22239.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{12 - 17}{13 - 12}\n = \\frac{-5}{1}\n = -5\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{8 - 17}{14 - 12}\n = \\frac{-9}{2}\n = -4\\frac{1}{2}\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 12 | 17 |\n| 13 | 12 |\n| 14 | 8 |" } ] }, { "id": "22240", "image": "22240.png", "conversations": [ { "from": "human", "question": "Celine kept a written log of how many miles she biked during the past 5 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 6, 6, 10, 10\n\nFirst, arrange the numbers from least to greatest:\n\n6, 6, 6, 10, 10\n\nNow find the number in the middle.\n\n6, 6, 6, 10, 10\n\nThe number in the middle is 6.\n\nThe median is 6.", "answer": "6", "table": "**Miles biked**\n\n| Day | Number of miles |\n| --- | --- |\n| Saturday | 6 |\n| Sunday | 6 |\n| Monday | 6 |\n| Tuesday | 10 |\n| Wednesday | 10 |" } ] }, { "id": "22245", "image": "22245.png", "conversations": [ { "from": "human", "question": "Darell has $13,686.00. How much money will Darell have left if he buys a black motorcycle and an old pick-up truck?\n" }, { "from": "gpt", "solution": "Find the total cost of a black motorcycle and an old pick-up truck.\n\n$8,624.00 + $5,001.00 = $13,625.00\n\nNow subtract the total cost from the starting amount.\n\n$13,686.00 - $13,625.00 = $61.00\n\nDarell will have $61.00 left.", "answer": "61", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| tan four-door sedan | $9,892.00 |\n| red sports car | $6,799.00 |\n| brown minivan | $7,314.00 |\n| old pick-up truck | $5,001.00 |\n| yellow sports car | $8,877.00 |\n| black motorcycle | $8,624.00 |" } ] }, { "id": "22248", "image": "22248.png", "conversations": [ { "from": "human", "question": "A food critic counted the number of menu items at each restaurant in town. How many restaurants have exactly 24 menu items?\n" }, { "from": "gpt", "solution": "For the number 24, the stem is 2, and the leaf is 4. Find the row where the stem is 2. In that row, count all the leaves equal to 4.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 restaurants have exactly24 menu items.", "answer": "4", "table": "**Menu items per restaurant**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 0, 2, 6 |\n| 2 | 4, 4, 4, 4, 5, 7 |\n| 3 | 4 |\n| 4 | 0, 2, 5, 6, 8 |" } ] }, { "id": "22249", "image": "22249.png", "conversations": [ { "from": "human", "question": "Norma purchased 3/10 of a kilogram of brown rice. What was the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the brown rice. Multiply the price per kilogram by the number of kilograms.\n$3 × \\frac{3}{10} = $3 × 0.3 = $0.90\nThe total cost was $0.90.", "answer": "0.90", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| white rice | $2/kg |\n| African rice | $2/kg |\n| Bhutanese red rice | $2/kg |\n| brown rice | $3/kg |\n| sticky rice | $2/kg |\n| basmati rice | $2/kg |" } ] }, { "id": "22252", "image": "22252.png", "conversations": [ { "from": "human", "question": "How much money does Jackie need to buy a purple envelope and a piece of red and purple stationery?\n" }, { "from": "gpt", "solution": "Add the price of a purple envelope and the price of a piece of red and purple stationery:\n\n$0.07 + $0.04 = $0.11\n\nJackie needs $0.11.", "answer": "0.11", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| piece of red and purple stationery | $0.04 |\n| sheet of blue and yellow paper | $0.09 |\n| bright blue note card | $0.03 |\n| purple envelope | $0.07 |\n| piece of polka-dotted paper | $0.05 |" } ] }, { "id": "22260", "image": "22260.png", "conversations": [ { "from": "human", "question": "Anne, who rents properties for a living, measures all the offices in a building she is renting. How many offices are at least 30 square meters but less than 87 square meters?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 3, 4, 5, 6, and 7.\n\nIn the row with stem 8, count all the leaves less than 7.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plots above. 2 offices are at least 30 square meters but less than 87 square meters.", "answer": "2", "table": "**Office sizes (square meters)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 4, 4, 5, 6 |\n| 2 | |\n| 3 | |\n| 4 | 0, 6 |\n| 5 | |\n| 6 | |\n| 7 | |\n| 8 | 8 |" } ] }, { "id": "22261", "image": "22261.png", "conversations": [ { "from": "human", "question": "A crayon factory monitored the number of broken crayons per box during the past day. How many boxes had exactly 34 broken crayons?\n" }, { "from": "gpt", "solution": "For the number 34, the stem is 3, and the leaf is 4. Find the row where the stem is 3. In that row, count all the leaves equal to 4.\n\nYou counted 0 leaves. 0 boxes had exactly 34 broken crayons.", "answer": "0", "table": "**Broken crayons per box**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 6 |\n| 4 | 3, 7 |\n| 5 | 5 |\n| 6 | 1, 5, 6, 9, 9 |\n| 7 | |\n| 8 | 1, 2, 3 |" } ] }, { "id": "22264", "image": "22264.png", "conversations": [ { "from": "human", "question": "Donald went to the store. He bought 1/2 of a kilogram of purple beads. How much did he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the purple beads. Multiply the price per kilogram by the number of kilograms.\n$2 × \\frac{1}{2} = $2 × 0.5 = $1\nHe spent $1.", "answer": "1", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| green beads | $3/kilogram |\n| white beads | $2/kilogram |\n| blue beads | $3/kilogram |\n| purple beads | $2/kilogram |\n| orange beads | $2/kilogram |\n| red beads | $2/kilogram |\n| black beads | $3/kilogram |" } ] }, { "id": "22265", "image": "22265.png", "conversations": [ { "from": "human", "question": "The school district compared how many math teachers each high school has. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n18, 17, 17, 18, 18, 8, 20\n\nFirst, find the greatest number. The greatest number is 20.\n\nNext, find the least number. The least number is 8.\n\nSubtract the least number from the greatest number:\n\n20 − 8 = 12\n\nThe range is 12.", "answer": "12", "table": "**Math teachers**\n\n| High school | Number of math teachers |\n| --- | --- |\n| Hillview High | 18 |\n| Green High | 17 |\n| Cedar High | 17 |\n| Northside High | 18 |\n| River High | 18 |\n| Lincoln High | 8 |\n| Washington High | 20 |" } ] }, { "id": "22270", "image": "22270.png", "conversations": [ { "from": "human", "question": "Vicky, who has six different fruit trees growing in her yard, kept track of how many pieces of fruit she picked this year. What fraction of the pieces of fruit picked were lemons? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many lemons were picked.\n\n46\n\nFind how many pieces of fruit were picked in total.\n\n87 + 46 + 38 + 87 + 34 + 54 = 346\n\nDivide 46 by 346.\n\n\\frac{46}{346}\n\nReduce the fraction.\n\n\\frac{46}{346} → \\frac{23}{173}\n\n\\frac{23}{173} of lemons were picked.", "answer": "23/173", "table": "**Pieces of fruit picked**\n\n| Fruits | Pieces of fruit |\n| --- | --- |\n| Apples | 87 |\n| Lemons | 46 |\n| Oranges | 38 |\n| Persimmons | 87 |\n| Pears | 34 |\n| Plums | 54 |" } ] }, { "id": "22271", "image": "22271.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which class ends at 11.35 A.M.?\n" }, { "from": "gpt", "solution": "Find 11:35 A. M. on the schedule. The salsa dance class ends at 11:35 A. M.", "answer": "salsa dance class", "table": "**Dance studio schedule**\n\n| Class | Begin | End |\n| --- | --- | --- |\n| ballroom dance | 9:00 A.M. | 10:35 A.M. |\n| salsa dance | 10:50 A.M. | 11:35 A.M. |\n| western dance | 11:40 A.M. | 12:20 P.M. |\n| jazz dance | 12:30 P.M. | 1:40 P.M. |\n| advanced ballet | 1:45 P.M. | 2:20 P.M. |\n| beginning ballet | 2:35 P.M. | 3:15 P.M. |\n| tap dance | 3:25 P.M. | 4:00 P.M. |" } ] }, { "id": "22278", "image": "22278.png", "conversations": [ { "from": "human", "question": "The financial aid office at Carter University produced an internal report on the number of students receiving scholarships. According to the table, what was the rate of change between 2010 and 2011?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{49 students - 41 students}{2011 - 2010}\n = \\frac{49 students - 41 students}{1 year}\n = \\frac{8 students}{1 year}\n = 8 students per year\nThe rate of change between 2010 and 2011 was 8 students per year.", "answer": "8", "table": "**Students receiving scholarships**\n\n| Year | Students |\n| --- | --- |\n| 2008 | 42 |\n| 2009 | 43 |\n| 2010 | 41 |\n| 2011 | 49 |\n| 2012 | 48 |" } ] }, { "id": "22284", "image": "22284.png", "conversations": [ { "from": "human", "question": "A baseball player paid attention to how many baseballs he hit in practice each day. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n90, 96, 88, 90, 84\n\nFirst, arrange the numbers from least to greatest:\n\n84, 88, 90, 90, 96\n\nNow find the number in the middle.\n\n84, 88, 90, 90, 96\n\nThe number in the middle is 90.\n\nThe median is 90.", "answer": "90", "table": "**Baseballs hit**\n\n| Day | Number of baseballs |\n| --- | --- |\n| Wednesday | 90 |\n| Thursday | 96 |\n| Friday | 88 |\n| Saturday | 90 |\n| Sunday | 84 |" } ] }, { "id": "22285", "image": "22285.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does the dance competition begin?\n" }, { "from": "gpt", "solution": "Find the dance competition on the schedule. Find the beginning time for the dance competition.\n\ndance competition: 2:40 P. M.", "answer": "2:40 P.M.", "table": "**School picnic schedule**\n\n| Event | Begin | End |\n| --- | --- | --- |\n| water balloon toss | 10:50 A.M. | 11:20 A.M. |\n| softball game | 11:15 A.M. | 12:15 P.M. |\n| lunch | 12:10 P.M. | 1:05 P.M. |\n| pie-eating contest | 1:25 P.M. | 1:50 P.M. |\n| kickball game | 1:30 P.M. | 2:30 P.M. |\n| dance competition | 2:40 P.M. | 3:35 P.M. |\n| obstacle course | 3:45 P.M. | 4:10 P.M. |\n| swimming competition | 3:55 P.M. | 4:45 P.M. |" } ] }, { "id": "22296", "image": "22296.png", "conversations": [ { "from": "human", "question": "Some students compared how many pets they have. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n5, 4, 2, 1, 6\n\nFirst, arrange the numbers from least to greatest:\n\n1, 2, 4, 5, 6\n\nNow find the number in the middle.\n\n1, 2, 4, 5, 6\n\nThe number in the middle is 4.\n\nThe median is 4.", "answer": "4", "table": "**Pets**\n\n| Name | Number of pets |\n| --- | --- |\n| Eve | 5 |\n| Marcy | 4 |\n| Chad | 2 |\n| Kendra | 1 |\n| Sally | 6 |" } ] }, { "id": "22300", "image": "22300.png", "conversations": [ { "from": "human", "question": "For Earth Day, Kensington High's environmental club tracked the number of seeds planted by its members. How many members planted exactly 1 seed?\n" }, { "from": "gpt", "solution": "Find the row for 1 seed and read the frequency. The frequency is 1.\n\n1 member planted exactly1 seed.", "answer": "1", "table": "**Planting seeds in the garden**\n\n| Seeds planted | Frequency |\n| --- | --- |\n| 0 | 7 |\n| 1 | 1 |\n| 2 | 10 |\n| 3 | 8 |" } ] }, { "id": "22304", "image": "22304.png", "conversations": [ { "from": "human", "question": "Each laundry basket has 10 blouses. How many blouses are in 4 laundry baskets?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 40 blouses in 4 laundry baskets.", "answer": "40", "table": "| Number of laundry baskets | Number of blouses |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | ? |" } ] }, { "id": "22306", "image": "22306.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{10 - 16}{11 - 10}\n = \\frac{-6}{1}\n = -6\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{6 - 10}{12 - 11}\n = \\frac{-4}{1}\n = -4\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 10 | 16 |\n| 11 | 10 |\n| 12 | 6 |" } ] }, { "id": "22308", "image": "22308.png", "conversations": [ { "from": "human", "question": "The county released data about how many schools there are in each town. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n10, 10, 7, 4, 6\n\nFirst, find the greatest number. The greatest number is 10.\n\nNext, find the least number. The least number is 4.\n\nSubtract the least number from the greatest number:\n\n10 − 4 = 6\n\nThe range is 6.", "answer": "6", "table": "**Schools in each town**\n\n| Town | Number of schools |\n| --- | --- |\n| Chesterton | 10 |\n| Ashland | 10 |\n| Watertown | 7 |\n| Riverside | 4 |\n| Mayfield | 6 |" } ] }, { "id": "22309", "image": "22309.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which event begins at 12.25 P.M.?\n" }, { "from": "gpt", "solution": "Find 12:25 P. M. on the schedule. The men's tennis match begins at 12:25 P. M.", "answer": "men's tennis match", "table": "**University sports schedule**\n\n| Event | Begin | End |\n| --- | --- | --- |\n| baseball game | 11:00 A.M. | 12:15 P.M. |\n| men's tennis match | 12:25 P.M. | 2:35 P.M. |\n| track meet | 2:40 P.M. | 6:00 P.M. |\n| golf tournament | 5:50 P.M. | 7:55 P.M. |\n| softball game | 7:55 P.M. | 10:05 P.M. |" } ] }, { "id": "22324", "image": "22324.png", "conversations": [ { "from": "human", "question": "An amusement park manager looked up the number of ride tickets sold in the past 4 days. On which day did the amusement park sell the most tickets?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 676.\n\nNow find the corresponding day. Monday corresponds to 676.", "answer": "Monday", "table": "**Tickets sold**\n\n| Day | Number of tickets |\n| --- | --- |\n| Sunday | 665 |\n| Monday | 676 |\n| Tuesday | 657 |\n| Wednesday | 675 |" } ] }, { "id": "22329", "image": "22329.png", "conversations": [ { "from": "human", "question": "At their family reunion, the Hampton family recorded everyone's age. How many people are at least 51 years old?\n" }, { "from": "gpt", "solution": "Find the row with stem 5. Count all the leaves greater than or equal to 1.\n\nYou counted 6 leaves, which are blue in the stem-and-leaf plot above. 6 people are at least 51 years old.", "answer": "6", "table": "**Ages**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 0, 5 |\n| 3 | 2, 9 |\n| 4 | 1, 1, 1, 4, 5, 5, 7, 8, 8 |\n| 5 | 0, 0, 1, 1, 5, 6, 7, 8 |" } ] }, { "id": "22336", "image": "22336.png", "conversations": [ { "from": "human", "question": "The teachers at a middle school counted how many computers they had in their classrooms. Which teacher has the fewest computers?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 12.\n\nNow find the corresponding teacher. Miss Murphy corresponds to 12.", "answer": "Miss Murphy", "table": "**Computers in classrooms**\n\n| Teacher | Number of computers |\n| --- | --- |\n| Ms. Rojas | 16 |\n| Mrs. Tan | 18 |\n| Mr. Morales | 15 |\n| Miss Murphy | 12 |" } ] }, { "id": "22340", "image": "22340.png", "conversations": [ { "from": "human", "question": "An economics student recorded the amount of per-capita aid that the U.S. gave to various countries during the 1900s. Of the countries shown, which received the most aid per capita in 1970?\n" }, { "from": "gpt", "solution": "Look at the numbers in the 1970 column. Find the greatest number in this column.\n\nThe greatest number is $9.00, which is in the Algeria row. In 1970, Algeria received the most aid per capita.", "answer": "Algeria", "table": "**Aid received per capita from the U.S.**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 1970 | 1980 |\n| Algeria | $9 | $9 |\n| Libya | $3 | $5 |\n| Nepal | $2 | $11 |" } ] }, { "id": "22341", "image": "22341.png", "conversations": [ { "from": "human", "question": "Craig went to the store and bought 1 pound of rectangular beads. How much did he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the rectangular beads. Multiply the price per pound by the number of pounds.\n\n$3 × 1 = $3\n\nHe spent $3.", "answer": "3", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| star-shaped beads | $3/lb |\n| heart-shaped beads | $4/lb |\n| flower-shaped beads | $5/lb |\n| rectangular beads | $3/lb |\n| spherical beads | $5/lb |\n| square beads | $5/lb |\n| oval beads | $3/lb |" } ] }, { "id": "22347", "image": "22347.png", "conversations": [ { "from": "human", "question": "Mr. Bennett, a track coach, recorded the sizes of all the nearby track teams. How many teams have at least 60 members but fewer than 80 members?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 6 and 7.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 teams have at least 60 members but fewer than 80 members.", "answer": "3", "table": "**Track team sizes (number of members)**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 0, 5, 8 |\n| 3 | 0, 4, 6, 7 |\n| 4 | 0, 2, 4 |\n| 5 | 3, 5, 6 |\n| 6 | 2 |\n| 7 | 3, 7 |\n| 8 | 1, 4, 7, 9 |\n| 9 | 0 |" } ] }, { "id": "22354", "image": "22354.png", "conversations": [ { "from": "human", "question": "A mail carrier counted how many pieces of mail he delivered each day. On which day did the mail carrier deliver the most pieces of mail?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 471.\n\nNow find the corresponding day. Thursday corresponds to 471.", "answer": "Thursday", "table": "**Pieces of mail delivered**\n\n| Day | Number of pieces of mail |\n| --- | --- |\n| Thursday | 471 |\n| Friday | 417 |\n| Saturday | 411 |\n| Monday | 447 |" } ] }, { "id": "22384", "image": "22384.png", "conversations": [ { "from": "human", "question": "How much more does a model railroad set cost than a remote control car?\n" }, { "from": "gpt", "solution": "Subtract the price of a remote control car from the price of a model railroad set.\n\n$76.00 - $15.00 = $61.00\n\nA model railroad set costs $61.00 more than a remote control car.", "answer": "61", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| video game | $20.00 |\n| remote control car | $15.00 |\n| model railroad set | $76.00 |\n| model airplane | $39.00 |\n| toy piano | $25.00 |" } ] }, { "id": "22398", "image": "22398.png", "conversations": [ { "from": "human", "question": "Neil kept track of how long it took to finish his homework each day. According to the table, what was the rate of change between Wednesday and Thursday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{28 minutes - 32 minutes}{1 day}\n = \\frac{-4 minutes}{1 day}\n = -4 minutes per day\nThe rate of change between Wednesday and Thursday was - 4 minutes per day.", "answer": "-4", "table": "**Time Neil spent on homework**\n\n| Day | Minutes |\n| --- | --- |\n| Tuesday | 26 |\n| Wednesday | 32 |\n| Thursday | 28 |\n| Friday | 35 |\n| Saturday | 29 |" } ] }, { "id": "22399", "image": "22399.png", "conversations": [ { "from": "human", "question": "A science teacher presented a balloon to her class, and posed the question, \"If I keep this balloon in the freezer overnight, what will occur?\" She followed up with, \"How certain are you of your answer?\" The teacher recorded her students' responses. What is the probability that a randomly selected student believes the balloon will stay the same and was certain? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the student believes the balloon will stay the same\" and B be the event \"the student was certain\".\nTo find the probability that a student believes the balloon will stay the same and was certain, first identify the sample space and the event.\nThe outcomes in the sample space are the different students. Each student is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the student believes the balloon will stay the same and was certain\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the student believes the balloon will stay the same and was certain\", so look at the table to see how many students believe the balloon will stay the same and were certain.\nThe number of students who believe the balloon will stay the same and were certain is 3.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of students.\n6 + 3 + 5 + 4 = 18\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{3}{18}\n = \\frac{1}{6}\nThe probability that a student believes the balloon will stay the same and was certain is \\frac{1}{6}.", "answer": "1/6", "table": "| | Certain | Uncertain |\n| --- | --- | --- |\n| Shrink | 6 | 5 |\n| Stay the same | 3 | 4 |" } ] }, { "id": "22404", "image": "22404.png", "conversations": [ { "from": "human", "question": "How much money does Kylie need to buy a ladder and a wrench?\n" }, { "from": "gpt", "solution": "Add the price of a ladder and the price of a wrench:\n\n$36.00 + $11.00 = $47.00\n\nKylie needs $47.00.", "answer": "47", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| lawn sprinkler | $13.00 |\n| ladder | $36.00 |\n| wheelbarrow | $30.00 |\n| wrench | $11.00 |\n| lawn mower | $96.00 |\n| can of paint | $15.00 |" } ] }, { "id": "22407", "image": "22407.png", "conversations": [ { "from": "human", "question": "A farmer wrote down how many kilograms of cherries were sold in the past 7 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n28, 31, 27, 35, 28, 29, 32\n\nFirst, arrange the numbers from least to greatest:\n\n27, 28, 28, 29, 31, 32, 35\n\nNow find the number in the middle.\n\n27, 28, 28, 29, 31, 32, 35\n\nThe number in the middle is 29.\n\nThe median is 29.", "answer": "29", "table": "**Cherries sold**\n\n| Day | Kilograms |\n| --- | --- |\n| Monday | 28 |\n| Tuesday | 31 |\n| Wednesday | 27 |\n| Thursday | 35 |\n| Friday | 28 |\n| Saturday | 29 |\n| Sunday | 32 |" } ] }, { "id": "22410", "image": "22410.png", "conversations": [ { "from": "human", "question": "Kimi went to the store. She bought 3/10 of a pound of coriander. How much did she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the coriander. Multiply the price per pound by the number of pounds.\n$7 × \\frac{3}{10} = $7 × 0.3 = $2.10\nShe spent $2.10.", "answer": "2.10", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| cinnamon | $7/lb |\n| turmeric | $5/lb |\n| cumin | $7/lb |\n| coriander | $7/lb |\n| pepper | $6/lb |\n| paprika | $7/lb |" } ] }, { "id": "22411", "image": "22411.png", "conversations": [ { "from": "human", "question": "How much money does Meg need to buy a tree frog and a hedgehog?\n" }, { "from": "gpt", "solution": "Add the price of a tree frog and the price of a hedgehog:\n\n$22 + $89 = $111\n\nMeg needs $111.", "answer": "111", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| hedgehog | $89 |\n| chameleon | $64 |\n| king snake | $64 |\n| tree frog | $22 |" } ] }, { "id": "22413", "image": "22413.png", "conversations": [ { "from": "human", "question": "The employee at the department store counted the number of ties on each tie rack. How many racks have at least 30 ties but fewer than 60 ties?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 3, 4, and 5.\n\nYou counted 10 leaves, which are blue in the stem-and-leaf plot above. 10 racks have at least 30 ties but fewer than 60 ties.", "answer": "10", "table": "**Ties per rack**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 1, 2, 6, 7, 7 |\n| 3 | 1 |\n| 4 | 1, 4, 6, 8 |\n| 5 | 2, 3, 6, 6, 9 |\n| 6 | 3, 5, 6, 7 |" } ] }, { "id": "22420", "image": "22420.png", "conversations": [ { "from": "human", "question": "Dustin went to the store. He bought 1.2 pounds of graduation confetti. How much did he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the graduation confetti. Multiply the price per pound by the number of pounds.\n$11 × 1.2 = $13.20\nHe spent $13.20.", "answer": "13.20", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| animal confetti | $12/pound |\n| alphabet confetti | $12/pound |\n| graduation confetti | $11/pound |\n| heart confetti | $12/pound |" } ] }, { "id": "22426", "image": "22426.png", "conversations": [ { "from": "human", "question": "How much money does Polly need to buy 5 macaws and a kinkajou?\n" }, { "from": "gpt", "solution": "Find the cost of 5 macaws.\n\n$1,030 × 5 = $5,150\n\nNow find the total cost.\n\n$5,150 + $1,903 = $7,053\n\nPolly needs $7,053.", "answer": "7,053", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| boa constrictor | $1,185 |\n| kinkajou | $1,903 |\n| llama | $2,816 |\n| alpaca | $2,116 |\n| python | $6,397 |\n| macaw | $1,030 |" } ] }, { "id": "22429", "image": "22429.png", "conversations": [ { "from": "human", "question": "A museum curator counted the number of paintings in each exhibit at the art museum. How many exhibits have exactly 82 paintings?\n" }, { "from": "gpt", "solution": "For the number 82, the stem is 8, and the leaf is 2. Find the row where the stem is 8. In that row, count all the leaves equal to 2.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 exhibits have exactly 82 paintings.", "answer": "3", "table": "**Paintings per exhibit**\n\n| Stem | Leaf |\n| --- | --- |\n| 5 | 6 |\n| 6 | 1, 2, 8 |\n| 7 | |\n| 8 | 2, 2, 2, 5 |" } ] }, { "id": "22434", "image": "22434.png", "conversations": [ { "from": "human", "question": "Oliver has $14.00. How much money will Oliver have left if he buys a toy truck and a toy guitar?\n" }, { "from": "gpt", "solution": "Find the total cost of a toy truck and a toy guitar.\n\n$4.02 + $9.95 = $13.97\n\nNow subtract the total cost from the starting amount.\n\n$14.00 - $13.97 = $0.03\n\nOliver will have $0.03 left.", "answer": "0.03", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| toy guitar | $9.95 |\n| yo-yo | $4.20 |\n| board game | $9.12 |\n| toy truck | $4.02 |\n| toy dinosaur | $2.11 |" } ] }, { "id": "22440", "image": "22440.png", "conversations": [ { "from": "human", "question": "The architecture student counted the number of bricks in each building in her neighborhood. How many buildings have at least 10 bricks but fewer than 70 bricks?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1, 2, 3, 4, 5, and 6.\n\nYou counted 7 leaves, which are blue in the stem-and-leaf plot above. 7 buildings have at least 10 bricks but fewer than 70 bricks.", "answer": "7", "table": "**Bricks per building**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 3 |\n| 2 | 2 |\n| 3 | 4, 5 |\n| 4 | 2 |\n| 5 | 5 |\n| 6 | 8 |\n| 7 | |\n| 8 | 4, 5 |\n| 9 | 0 |" } ] }, { "id": "22444", "image": "22444.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $500, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $500, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $320 | 3,300 | 8,400 |\n| $380 | 3,200 | 11,600 |\n| $440 | 3,100 | 14,800 |\n| $500 | 3,000 | 18,000 |\n| $560 | 2,900 | 21,200 |" } ] }, { "id": "22450", "image": "22450.png", "conversations": [ { "from": "human", "question": "Denise has $5.12. How much money will Denise have left if she buys a package of hamburger buns and a bag of marshmallows?\n" }, { "from": "gpt", "solution": "Find the total cost of a package of hamburger buns and a bag of marshmallows.\n\n$1.94 + $1.08 = $3.02\n\nNow subtract the total cost from the starting amount.\n\n$5.12 - $3.02 = $2.10\n\nDenise will have $2.10 left.", "answer": "2.10", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| package of hot dog buns | $1.81 |\n| carton of yogurt | $1.99 |\n| bag of marshmallows | $1.08 |\n| package of hamburger buns | $1.94 |\n| frozen pizza | $5.02 |" } ] }, { "id": "22456", "image": "22456.png", "conversations": [ { "from": "human", "question": "How much money does Levi need to buy a ticket for a Hawaiian cruise and a ticket for a Caribbean cruise?\n" }, { "from": "gpt", "solution": "Add the price of a ticket for a Hawaiian cruise and the price of a ticket for a Caribbean cruise:\n\n$7,072.00 + $6,039.00 = $13,111.00\n\nLevi needs $13,111.00.", "answer": "13,111", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| ticket for a Hawaiian cruise | $7,072.00 |\n| ticket for an Australian cruise | $4,739.00 |\n| ticket for a South American cruise | $6,857.00 |\n| ticket for a Caribbean cruise | $6,039.00 |" } ] }, { "id": "22458", "image": "22458.png", "conversations": [ { "from": "human", "question": "A food critic counted the number of menu items at each restaurant in town. How many restaurants have at least 57 menu items but fewer than 85 menu items?\n" }, { "from": "gpt", "solution": "Find the row with stem 5. Count all the leaves greater than or equal to 7.\n\nCount all the leaves in the rows with stems 6 and 7.\n\nIn the row with stem 8, count all the leaves less than 5.\n\nYou counted 6 leaves, which are blue in the stem-and-leaf plots above. 6 restaurants have at least 57 menu items but fewer than 85 menu items.", "answer": "6", "table": "**Menu items per restaurant**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 2, 4 |\n| 2 | |\n| 3 | 6, 6 |\n| 4 | 1, 5 |\n| 5 | 1, 2, 3 |\n| 6 | 1, 2, 5, 6, 7 |\n| 7 | 6 |\n| 8 | 7 |\n| 9 | 0 |" } ] }, { "id": "22459", "image": "22459.png", "conversations": [ { "from": "human", "question": "How much more does a cutting board cost than a glass measuring cup?\n" }, { "from": "gpt", "solution": "Subtract the price of a glass measuring cup from the price of a cutting board.\n\n$8 - $5 = $3\n\nA cutting board costs $3 more than a glass measuring cup.", "answer": "3", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| casserole dish | $4 |\n| cutting board | $8 |\n| serving platter | $4 |\n| ice cream scoop | $9 |\n| glass measuring cup | $5 |" } ] }, { "id": "22460", "image": "22460.png", "conversations": [ { "from": "human", "question": "How much money does Ellie need to buy a book signed by a famous author and a jersey signed by a famous basketball player?\n" }, { "from": "gpt", "solution": "Add the price of a book signed by a famous author and the price of a jersey signed by a famous basketball player:\n\n$7,888.00 + $7,845.00 = $15,733.00\n\nEllie needs $15,733.00.", "answer": "15,733", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| book signed by a famous author | $7,888.00 |\n| jersey signed by a famous hockey player | $1,862.00 |\n| jersey signed by a famous basketball player | $7,845.00 |\n| bat signed by a famous baseball player | $9,087.00 |\n| photograph signed by a famous television star | $9,248.00 |" } ] }, { "id": "22461", "image": "22461.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $600, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $600, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $60 | 17,900 | 1,700 |\n| $240 | 15,500 | 1,900 |\n| $420 | 13,100 | 2,100 |\n| $600 | 10,700 | 2,300 |\n| $780 | 8,300 | 2,500 |" } ] }, { "id": "22463", "image": "22463.png", "conversations": [ { "from": "human", "question": "A city planner counted the number of floors per building in the downtown area. How many buildings have at least 56 floors?\n" }, { "from": "gpt", "solution": "Find the row with stem 5. Count all the leaves greater than or equal to 6.\n\nCount all the leaves in the rows with stems 6 and 7.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plots above. 2 buildings have at least 56 floors.", "answer": "2", "table": "**Floors per building**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 2 |\n| 3 | 0, 3 |\n| 4 | |\n| 5 | 0, 6 |\n| 6 | |\n| 7 | 0 |" } ] }, { "id": "22464", "image": "22464.png", "conversations": [ { "from": "human", "question": "The advertising agency counted the number of billboards in each city in the state. What is the largest number of billboards?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 9.\n\nNow find the highest leaf in the last row. The highest leaf is 0.\n\nThe largest number of billboards has a stem of 9 and a leaf of 0. Write the stem first, then the leaf: 90.\n\nThe largest number of billboards is 90 billboards.", "answer": "90", "table": "**Billboards per city**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 5 |\n| 2 | 2, 6, 8, 8 |\n| 3 | 3, 6, 6, 8, 8, 9 |\n| 4 | 7 |\n| 5 | 0, 0, 3, 9 |\n| 6 | 0, 2, 4, 9 |\n| 7 | 5 |\n| 8 | 7, 7 |\n| 9 | 0 |" } ] }, { "id": "22470", "image": "22470.png", "conversations": [ { "from": "human", "question": "How much would it cost to buy 2+1/5 kilograms of wheat rolls?\n" }, { "from": "gpt", "solution": "Find the cost of the wheat rolls. Multiply the price per kilogram by the number of kilograms.\n$6 × 2\\frac{1}{5} = $6 × 2.2 = $13.20\nIt would cost $13.20.", "answer": "13.20", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| English muffins | $9 per kilogram |\n| wheat rolls | $6 per kilogram |\n| spelt rolls | $4 per kilogram |\n| tortillas | $4 per kilogram |" } ] }, { "id": "22471", "image": "22471.png", "conversations": [ { "from": "human", "question": "Kimi and her friends recorded their scores while playing a board game. How many people scored more than 9?\n" }, { "from": "gpt", "solution": "Find the row for 10 and read the frequency. The frequency is 9.\n\n9 people scored more than 9.", "answer": "9", "table": "**Scores on a board game**\n\n| Score | Frequency |\n| --- | --- |\n| 6 | 6 |\n| 7 | 15 |\n| 8 | 3 |\n| 9 | 12 |\n| 10 | 9 |" } ] }, { "id": "22480", "image": "22480.png", "conversations": [ { "from": "human", "question": "A biologist interested in the sleeping patterns of felines in captivity recorded the number of felines in each zoo. Are there fewer felines at the Central Zoo or the Western Zoo?\n" }, { "from": "gpt", "solution": "Add the numbers in the Central Zoo row. Then, add the numbers in the Western Zoo row.\n\nCentral Zoo: 20 + 9 = 29\nWestern Zoo: 13 + 11 = 24\n\n24 is less than 29. There are fewer felines at the Western Zoo.", "answer": "Western Zoo", "table": "**Felines in zoos**\n\n| Zoo | Cheetahs | Leopards |\n| --- | --- | --- |\n| Central Zoo | 20 | 9 |\n| Northern Zoo | 4 | 16 |\n| Western Zoo | 13 | 11 |\n| Southern Zoo | 6 | 5 |\n| Eastern Zoo | 4 | 18 |" } ] }, { "id": "22495", "image": "22495.png", "conversations": [ { "from": "human", "question": "Several children compared how many thank-you notes they had written during the previous month. How many children are there in all?\n" }, { "from": "gpt", "solution": "Add the frequencies for each row.\n\nAdd:\n\n1 + 5 + 2 + 6 + 10 + 3 + 7 = 34\n\nThere are 34 children in all.", "answer": "34", "table": "**Writing thank-you notes**\n\n| Thank-you notes written | Frequency |\n| --- | --- |\n| 0 | 1 |\n| 1 | 5 |\n| 2 | 2 |\n| 3 | 6 |\n| 4 | 10 |\n| 5 | 3 |\n| 6 | 7 |" } ] }, { "id": "22496", "image": "22496.png", "conversations": [ { "from": "human", "question": "Tanner went to the store and bought 5 pounds of cumin and 1 pound of cinnamon. How much did he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the cumin. Multiply:\n\n$5.12 × 5 = $25.60\n\nFind the cost of the cinnamon. Multiply:\n\n$6.60 × 1 = $6.60\n\nNow find the total cost by adding:\n\n$25.60 + $6.60 = $32.20\n\nHe spent $32.20.", "answer": "32.20", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| cumin | $5.12/lb |\n| cinnamon | $6.60/lb |\n| paprika | $4.76/lb |\n| coriander | $5.39/lb |" } ] }, { "id": "22502", "image": "22502.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Jeanette just missed the 2.00 P.M. train at Rockport. What time is the next train?\n" }, { "from": "gpt", "solution": "Find 2:00 P. M. in the row for Rockport.\n\nLook for the next train in that row.\n\nThe next train is at 2:30 P. M.", "answer": "2:30 P.M.", "table": "**Train schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 | Column 5 | Column 6 |\n| --- | --- | --- | --- | --- | --- |\n| Castroville | 6:00 A.M. | 6:15 A.M. | 6:45 A.M. | 8:30 A.M. | 8:45 A.M. |\n| Belmont | 7:30 A.M. | 7:45 A.M. | 8:15 A.M. | 10:00 A.M. | 10:15 A.M. |\n| Oakdale | 9:15 A.M. | 9:30 A.M. | 10:00 A.M. | 11:45 A.M. | 12:00 P.M. |\n| Yardley | 10:15 A.M. | 10:30 A.M. | 11:00 A.M. | 12:45 P.M. | 1:00 P.M. |\n| Hillsdale | 11:00 A.M. | 11:15 A.M. | 11:45 A.M. | 1:30 P.M. | 1:45 P.M. |\n| Lexington | 12:15 P.M. | 12:30 P.M. | 1:00 P.M. | 2:45 P.M. | 3:00 P.M. |\n| Rockport | 1:45 P.M. | 2:00 P.M. | 2:30 P.M. | 4:15 P.M. | 4:30 P.M. |\n| Booneville | 3:30 P.M. | 3:45 P.M. | 4:15 P.M. | 6:00 P.M. | 6:15 P.M. |" } ] }, { "id": "22510", "image": "22510.png", "conversations": [ { "from": "human", "question": "Helen looked at the dates of the digital photos on her computer to find out how many she had taken in the past 7 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n4, 1, 1, 9, 1, 6, 4\n\nFirst, find the greatest number. The greatest number is 9.\n\nNext, find the least number. The least number is 1.\n\nSubtract the least number from the greatest number:\n\n9 − 1 = 8\n\nThe range is 8.", "answer": "8", "table": "**Photographs taken**\n\n| Day | Number of photographs |\n| --- | --- |\n| Sunday | 4 |\n| Monday | 1 |\n| Tuesday | 1 |\n| Wednesday | 9 |\n| Thursday | 1 |\n| Friday | 6 |\n| Saturday | 4 |" } ] }, { "id": "22528", "image": "22528.png", "conversations": [ { "from": "human", "question": "The art club examined how many cookies each student baked for the bake sale. Together, how many cookies did Vivian and Debbie bake?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nVivian: 334\nDebbie: 101\n\nNow add: 334 + 101 = 435.\n\nVivian and Debbie baked 435 cookies.", "answer": "435", "table": "**Cookies baked**\n\n| Name | Number of cookies |\n| --- | --- |\n| Vivian | 334 |\n| Kamal | 112 |\n| Garrett | 515 |\n| Debbie | 101 |" } ] }, { "id": "22530", "image": "22530.png", "conversations": [ { "from": "human", "question": "Look at this table. Is this relation a function?\n" }, { "from": "gpt", "solution": "Look at the x-values in the table.\n\nThe x-value 14 is paired with multiple y-values, so the relation is not a function.", "answer": "no", "table": "| x | y |\n| --- | --- |\n| 14 | 7 |\n| 3 | 8 |\n| 8 | 3 |\n| 14 | 14 |" } ] }, { "id": "22536", "image": "22536.png", "conversations": [ { "from": "human", "question": "A pair of Clark High School hockey fans counted the number of games won by the school each year. According to the table, what was the rate of change between 2017 and 2018?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{14 games - 8 games}{2018 - 2017}\n = \\frac{14 games - 8 games}{1 year}\n = \\frac{6 games}{1 year}\n = 6 games per year\nThe rate of change between 2017 and 2018 was 6 games per year.", "answer": "6", "table": "**Hockey games won by Clark High**\n\n| Year | Games won |\n| --- | --- |\n| 2016 | 5 |\n| 2017 | 8 |\n| 2018 | 14 |\n| 2019 | 10 |\n| 2020 | 7 |" } ] }, { "id": "22538", "image": "22538.png", "conversations": [ { "from": "human", "question": "How much money does Mason need to buy a bag of birdseed and a bag of cat treats?\n" }, { "from": "gpt", "solution": "Add the price of a bag of birdseed and the price of a bag of cat treats:\n\n$1.00 + $1.00 = $2.00\n\nMason needs $2.00.", "answer": "2", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| bag of birdseed | $1.00 |\n| fish bowl | $5.00 |\n| bag of cat treats | $1.00 |\n| dog bowl | $6.00 |" } ] }, { "id": "22539", "image": "22539.png", "conversations": [ { "from": "human", "question": "The members of the track team compared how many miles they ran last week. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 4, 10, 1, 3, 8, 7\n\nFirst, count how many numbers are in the group.\n\nThere are 7 numbers.\n\nNow add all the numbers together:\n\n9 + 4 + 10 + 1 + 3 + 8 + 7 = 42\n\nNow divide the sum by the number of numbers:\n\n42 ÷ 7 = 6\n\nThe mean is 6.", "answer": "6", "table": "**Running miles**\n\n| Name | Miles |\n| --- | --- |\n| Levi | 9 |\n| Sophie | 4 |\n| Emmy | 10 |\n| Dalton | 1 |\n| Kayla | 3 |\n| Justine | 8 |\n| Baldwin | 7 |" } ] }, { "id": "22540", "image": "22540.png", "conversations": [ { "from": "human", "question": "A machine dispensed red gumdrops into bags of various sizes. How many bags had at least 33 red gumdrops but less than 68 red gumdrops?\n" }, { "from": "gpt", "solution": "Find the row with stem 3. Count all the leaves greater than or equal to 3.\n\nCount all the leaves in the rows with stems 4 and 5.\n\nIn the row with stem 6, count all the leaves less than 8.\n\nYou counted 7 leaves, which are blue in the stem-and-leaf plots above. 7 bags had at least 33 red gumdrops but less than 68 red gumdrops.", "answer": "7", "table": "**Red gumdrops per bag**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 2, 5, 6 |\n| 2 | 9 |\n| 3 | 9 |\n| 4 | |\n| 5 | 4, 8, 8, 9 |\n| 6 | 2, 4 |\n| 7 | |\n| 8 | 0 |" } ] }, { "id": "22542", "image": "22542.png", "conversations": [ { "from": "human", "question": "Some pizza restaurants compared their pizza sales. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n70, 69, 73, 70, 82, 67, 78, 62\n\nFirst, find the greatest number. The greatest number is 82.\n\nNext, find the least number. The least number is 62.\n\nSubtract the least number from the greatest number:\n\n82 − 62 = 20\n\nThe range is 20.", "answer": "20", "table": "**Pizza slices sold**\n\n| Restaurant | Number of slices sold |\n| --- | --- |\n| The Big Cheese | 70 |\n| Pizzeria Italiano | 69 |\n| Deep Dish by Dan | 73 |\n| The Real Chicago | 70 |\n| Taste of New York | 82 |\n| New York Slice | 67 |\n| Antonio's Pizzeria | 78 |\n| Pizzas Only | 62 |" } ] }, { "id": "22546", "image": "22546.png", "conversations": [ { "from": "human", "question": "William looked at his calendar to figure out how much time he spent babysitting each month. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 2, 9, 6, 7\n\nFirst, arrange the numbers from least to greatest:\n\n2, 6, 6, 7, 9\n\nNow find the number in the middle.\n\n2, 6, 6, 7, 9\n\nThe number in the middle is 6.\n\nThe median is 6.", "answer": "6", "table": "**Hours of babysitting**\n\n| Month | Hours |\n| --- | --- |\n| October | 6 |\n| November | 2 |\n| December | 9 |\n| January | 6 |\n| February | 7 |" } ] }, { "id": "22552", "image": "22552.png", "conversations": [ { "from": "human", "question": "Ronald went to the store. He bought 4 pounds of baked chicken. How much did he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the baked chicken. Multiply the price per pound by the number of pounds.\n\n$8 × 4 = $32\n\nHe spent $32.", "answer": "32", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| breaded chicken | $6 per pound |\n| fried chicken | $8 per pound |\n| baked chicken | $8 per pound |\n| sauteed chicken | $10 per pound |\n| roast chicken | $4 per pound |\n| curried chicken | $8 per pound |" } ] }, { "id": "22558", "image": "22558.png", "conversations": [ { "from": "human", "question": "Keenan wrote down how many cups of lemonade he sold in the past 4 days. On which day did the stand sell the most lemonade?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 39.\n\nNow find the corresponding day. Monday corresponds to 39.", "answer": "Monday", "table": "**Cups of lemonade sold**\n\n| Day | Number of cups |\n| --- | --- |\n| Monday | 39 |\n| Tuesday | 32 |\n| Wednesday | 37 |\n| Thursday | 34 |" } ] }, { "id": "22564", "image": "22564.png", "conversations": [ { "from": "human", "question": "A law firm in Princeton kept track of how many hours were billed by each partner last year. What fraction of the hours were billed by Gordon? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many hours were billed by Gordon.\n\n610\n\nFind how many hours were billed in total.\n\n870 + 790 + 810 + 560 + 610 = 3,640\n\nDivide 610 by 3,640.\n\n\\frac{610}{3,640}\n\nReduce the fraction.\n\n\\frac{610}{3,640} → \\frac{61}{364}\n\n\\frac{61}{364} of hours were billed by Gordon.", "answer": "61/364", "table": "**Law firm hours billed**\n\n| Partner | Hours billed |\n| --- | --- |\n| Rudy | 870 |\n| Erica | 790 |\n| Lucas | 810 |\n| Jill | 560 |\n| Gordon | 610 |" } ] }, { "id": "22577", "image": "22577.png", "conversations": [ { "from": "human", "question": "A donut shop recorded how many donuts it sold in the past 5 days. How many donuts in total did the shop sell on Tuesday and Wednesday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nTuesday: 7,399\nWednesday: 1,246\n\nNow add: 7,399 + 1,246 = 8,645.\n\nThe shop sold 8,645 donuts on Tuesday and Wednesday.", "answer": "8,645", "table": "**Donuts sold**\n\n| Day | Number of donuts |\n| --- | --- |\n| Tuesday | 7,399 |\n| Wednesday | 1,246 |\n| Thursday | 1,371 |\n| Friday | 1,568 |\n| Saturday | 1,394 |" } ] }, { "id": "22583", "image": "22583.png", "conversations": [ { "from": "human", "question": "A girl compared the ages of her cousins. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n5, 6, 9, 3, 9, 5, 5, 6\n\nFirst, arrange the numbers from least to greatest:\n\n3, 5, 5, 5, 6, 6, 9, 9\n\nNow count how many times each number appears.\n\n3 appears 1 time.\n5 appears 3 times.\n6 appears 2 times.\n9 appears 2 times.\n\nThe number that appears most often is 5.\n\nThe mode is 5.", "answer": "5", "table": "**Ages of cousins**\n\n| Name | Age (years) |\n| --- | --- |\n| Jenny | 5 |\n| Lucia | 6 |\n| Will | 9 |\n| Patty | 3 |\n| Doug | 9 |\n| Tim | 5 |\n| Nancy | 5 |\n| Marco | 6 |" } ] }, { "id": "22584", "image": "22584.png", "conversations": [ { "from": "human", "question": "An employee at the craft store counted the number of red buttons in each bag of mixed buttons. How many bags had exactly 34 red buttons?\n" }, { "from": "gpt", "solution": "For the number 34, the stem is 3, and the leaf is 4. Find the row where the stem is 3. In that row, count all the leaves equal to 4.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 bags had exactly 34 red buttons.", "answer": "3", "table": "**Red buttons per bag**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 3, 6, 6 |\n| 2 | 9 |\n| 3 | 4, 4, 4, 6 |\n| 4 | 2, 9 |\n| 5 | 0, 2, 5 |\n| 6 | 0, 1, 4, 8 |\n| 7 | 4, 8 |" } ] }, { "id": "22585", "image": "22585.png", "conversations": [ { "from": "human", "question": "Each package has 10 paper clips. How many paper clips are in 4 packages?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 40 paper clips in 4 packages.", "answer": "40", "table": "| Number of packages | Number of paper clips |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | ? |" } ] }, { "id": "22586", "image": "22586.png", "conversations": [ { "from": "human", "question": "A county agency recorded the money donated to several charitable causes over time. In May, which cause raised the most money?\n" }, { "from": "gpt", "solution": "Look at the numbers in the May column. Find the greatest number in this column.\n\nThe greatest number is $19.00, which is in the Hunger row. In May, the most money was raised for hunger.", "answer": "hunger", "table": "**Donations received**\n\n| Cause | May | June |\n| --- | --- | --- |\n| Parks | $16 | $1 |\n| Animals | $10 | $2 |\n| Hunger | $19 | $5 |\n| Education | $16 | $14 |\n| Medical research | $1 | $17 |" } ] }, { "id": "22587", "image": "22587.png", "conversations": [ { "from": "human", "question": "Eva has $7.00. Does she have enough to buy cinnamon toast and a sausage link?\n" }, { "from": "gpt", "solution": "Add the price of cinnamon toast and the price of a sausage link:\n\n$4.55 + $2.78 = $7.33\n\n$7.33 is more than $7.00. Eva does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| sausage link | $2.78 |\n| blueberry pancakes | $8.19 |\n| cinnamon toast | $4.55 |\n| poppyseed muffin | $2.51 |" } ] }, { "id": "22589", "image": "22589.png", "conversations": [ { "from": "human", "question": "A food critic counted the number of menu items at each restaurant in town. What is the largest number of menu items?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 8.\n\nNow find the highest leaf in the last row. The highest leaf is 6.\n\nThe largest number of menu items has a stem of 8 and a leaf of 6. Write the stem first, then the leaf: 86.\n\nThe largest number of menu items is 86 menu items.", "answer": "86", "table": "**Menu items per restaurant**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 9 |\n| 2 | 4, 8, 9, 9 |\n| 3 | 6, 8 |\n| 4 | 0, 3, 4, 5, 9 |\n| 5 | |\n| 6 | 0, 3 |\n| 7 | 1, 3, 6, 7, 9 |\n| 8 | 0, 1, 4, 6, 6 |" } ] }, { "id": "22590", "image": "22590.png", "conversations": [ { "from": "human", "question": "For a statistics project, Henry observed the number of hits and misses scored by some baseball players during batting practice. How many misses did the first baseman have?\n" }, { "from": "gpt", "solution": "First, find the row for first baseman. Then find the number in the Misses column.\n\nThis number is 16. The first baseman had 16 misses.", "answer": "16", "table": "**Baseball batting practice**\n\n| Player | Hits | Misses |\n| --- | --- | --- |\n| First baseman | 7 | 16 |\n| Shortstop | 2 | 7 |\n| Third baseman | 13 | 1 |\n| Center fielder | 7 | 12 |" } ] }, { "id": "22600", "image": "22600.png", "conversations": [ { "from": "human", "question": "For an assignment, Michael looked at which countries got the most Nobel Prizes in various decades. How many more Nobel Prize winners did Canada have in the 1990s than in the 1980s?\n" }, { "from": "gpt", "solution": "Find the Canada row. Find the numbers in this row for 1990 s and 1980 s.\n\n1990s: 8\n1980s: 3\n\nNow subtract:\n\n8 − 3 = 5\n\nCanada had 5 more Nobel Prize winners in the 1990 s than in the 1980 s.", "answer": "5", "table": "**Nobel Prize winners**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 1980s | 1990s |\n| Japan | 2 | 1 |\n| Germany | 11 | 7 |\n| Russia | 1 | 1 |\n| Canada | 3 | 8 |" } ] }, { "id": "22609", "image": "22609.png", "conversations": [ { "from": "human", "question": "Gabriel has $94.50. Does he have enough to buy a toy rocket and a boomerang?\n" }, { "from": "gpt", "solution": "Add the price of a toy rocket and the price of a boomerang:\n\n$80.46 + $14.33 = $94.79\n\n$94.79 is more than $94.50. Gabriel does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| model airplane | $36.57 |\n| board game | $16.50 |\n| toy rocket | $80.46 |\n| chess board | $14.05 |\n| toy piano | $11.13 |\n| boomerang | $14.33 |" } ] }, { "id": "22610", "image": "22610.png", "conversations": [ { "from": "human", "question": "A city recorded how many people rode the subway each month. How many people in total rode the subway in December and February?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nDecember: 1,137\nFebruary: 3,778\n\nNow add: 1,137 + 3,778 = 4,915.\n\n4,915 people rode the subway in December and February.", "answer": "4,915", "table": "**Subway riders**\n\n| Month | Number of riders |\n| --- | --- |\n| November | 1,183 |\n| December | 1,137 |\n| January | 3,844 |\n| February | 3,778 |" } ] }, { "id": "22611", "image": "22611.png", "conversations": [ { "from": "human", "question": "An architecture student measured the heights of all the buildings downtown. How many buildings are at least 50 meters tall but less than 70 meters tall?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 5 and 6.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 buildings are at least 50 meters tall but less than 70 meters tall.", "answer": "4", "table": "**Building heights (meters)**\n\n| Stem | Leaf |\n| --- | --- |\n| 0 | 6 |\n| 1 | 8 |\n| 2 | 1, 2, 9, 9 |\n| 3 | 1, 9, 9 |\n| 4 | 1, 7, 8, 9 |\n| 5 | 1, 1, 7 |\n| 6 | 4 |\n| 7 | |\n| 8 | 2, 3, 4, 8, 9 |" } ] }, { "id": "22627", "image": "22627.png", "conversations": [ { "from": "human", "question": "Principal Herman reported the state test scores from some students at her school. What is the highest score?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 4.\n\nNow find the highest leaf in the last row. The highest leaf is 5.\n\nThe highest score has a stem of 4 and a leaf of 5. Write the stem first, then the leaf: 45.\n\nThe highest score is 45 points.", "answer": "45", "table": "**Test scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 3, 3, 4, 9 |\n| 2 | 4, 5, 6, 9, 9, 9 |\n| 3 | 0, 3, 6 |\n| 4 | 1, 5, 5 |" } ] }, { "id": "22633", "image": "22633.png", "conversations": [ { "from": "human", "question": "Aiden has $24,515.00. How much money will Aiden have left if he buys an ice cream truck and a popsicle stand?\n" }, { "from": "gpt", "solution": "Find the total cost of an ice cream truck and a popsicle stand.\n\n$6,398.00 + $8,673.00 = $15,071.00\n\nNow subtract the total cost from the starting amount.\n\n$24,515.00 - $15,071.00 = $9,444.00\n\nAiden will have $9,444.00 left.", "answer": "9,444", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| popsicle stand | $8,673.00 |\n| pretzel stand | $9,979.00 |\n| ice cream truck | $6,398.00 |\n| peanut cart | $8,080.00 |" } ] }, { "id": "22642", "image": "22642.png", "conversations": [ { "from": "human", "question": "Julian has $1,354.00. Does he have enough to buy a portable DVD player and a digital camera?\n" }, { "from": "gpt", "solution": "Add the price of a portable DVD player and the price of a digital camera:\n\n$428.00 + $957.00 = $1,385.00\n\n$1,385.00 is more than $1,354.00. Julian does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| big screen TV | $741.00 |\n| digital camera | $957.00 |\n| portable DVD player | $428.00 |\n| video game system | $252.00 |\n| MP3 player | $465.00 |" } ] }, { "id": "22647", "image": "22647.png", "conversations": [ { "from": "human", "question": "Grace went to the store and bought 5 pounds of hazelnuts. How much did she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the hazelnuts. Multiply the price per pound by the number of pounds.\n\n$8.24 × 5 = $41.20\n\nShe spent $41.20.", "answer": "41.20", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| cashews | $6.97 per pound |\n| peanuts | $3.42 per pound |\n| hazelnuts | $8.24 per pound |\n| pecans | $4.38 per pound |\n| almonds | $11.95 per pound |" } ] }, { "id": "22649", "image": "22649.png", "conversations": [ { "from": "human", "question": "A concession stand worker at the movie theater looked up how many bags of popcorn were sold in the past 4 days. On which day did the movie theater sell the most bags of popcorn?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 251.\n\nNow find the corresponding day. Thursday corresponds to 251.", "answer": "Thursday", "table": "**Bags of popcorn sold**\n\n| Day | Number of bags of popcorn |\n| --- | --- |\n| Wednesday | 222 |\n| Thursday | 251 |\n| Friday | 212 |\n| Saturday | 215 |" } ] }, { "id": "22650", "image": "22650.png", "conversations": [ { "from": "human", "question": "Some friends played a trivia game and recorded their scores. How many more points did Heather score than Colin?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nHeather: 707\nColin: 198\n\nNow subtract: 707 - 198 = 509.\n\nHeather scored 509 points more.", "answer": "509", "table": "**Trivia game scores**\n\n| Name | Score |\n| --- | --- |\n| Anna | 456 |\n| Colin | 198 |\n| Heather | 707 |" } ] }, { "id": "22653", "image": "22653.png", "conversations": [ { "from": "human", "question": "How much money does Greta need to buy a piece of floral stationery and an orange envelope?\n" }, { "from": "gpt", "solution": "Add the price of a piece of floral stationery and the price of an orange envelope:\n\n$0.69 + $0.20 = $0.89\n\nGreta needs $0.89.", "answer": "0.89", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| piece of floral stationery | $0.69 |\n| orange envelope | $0.20 |\n| sheet of blue and yellow paper | $0.54 |\n| white note card | $0.14 |" } ] }, { "id": "22666", "image": "22666.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does Scary Ghost Movie end?\n" }, { "from": "gpt", "solution": "Find Scary Ghost Movie on the schedule. Find the end time for Scary Ghost Movie.\n\nScary Ghost Movie: 12:55 P. M.", "answer": "12:55 P.M.", "table": "**Movie schedule**\n\n| Movie | Begin | End |\n| --- | --- | --- |\n| Dangerous Duck in Cartoon City | 8:55 A.M. | 10:05 A.M. |\n| The Wizard in the Cereal Box | 9:25 A.M. | 11:05 A.M. |\n| Adventures in the Universe IV | 10:05 A.M. | 11:15 A.M. |\n| Music Band: True Story of the Musicians | 10:15 A.M. | 11:55 A.M. |\n| Scary Ghost Movie | 11:25 A.M. | 12:55 P.M. |\n| 20 Wheels and a Monster Truck | 12:05 P.M. | 1:10 P.M. |\n| Kung Fu Madness | 12:20 P.M. | 2:00 P.M. |\n| The Life of a President | 1:25 P.M. | 3:50 P.M. |\n| Fido and Mittens are Best Pals | 2:55 P.M. | 5:00 P.M. |" } ] }, { "id": "22673", "image": "22673.png", "conversations": [ { "from": "human", "question": "Angie has $18.00. Does she have enough to buy a pumpkin pie and a pineapple upside-down cake?\n" }, { "from": "gpt", "solution": "Add the price of a pumpkin pie and the price of a pineapple upside-down cake:\n\n$9.33 + $9.13 = $18.46\n\n$18.46 is more than $18.00. Angie does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pumpkin pie | $9.33 |\n| pecan pie | $7.85 |\n| blueberry cheesecake | $8.65 |\n| peach pie | $7.23 |\n| almond tart | $7.35 |\n| pineapple upside-down cake | $9.13 |" } ] }, { "id": "22676", "image": "22676.png", "conversations": [ { "from": "human", "question": "Lillian counted the number of articles in several different magazines. How many magazines had exactly 6 articles?\n" }, { "from": "gpt", "solution": "For the number 6, the stem is 0, and the leaf is 6. Find the row where the stem is 0. In that row, count all the leaves equal to 6.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 magazines had exactly 6 articles.", "answer": "2", "table": "**Articles per magazine**\n\n| Stem | Leaf |\n| --- | --- |\n| 0 | 6, 6, 8, 9 |\n| 1 | 3, 6, 8, 9 |\n| 2 | 1, 1, 2 |\n| 3 | 6 |\n| 4 | 0, 1, 3, 4 |" } ] }, { "id": "22678", "image": "22678.png", "conversations": [ { "from": "human", "question": "An Idaho farmer has been monitoring crop prices over time. In 2004, how much more did lentils cost per cwt than Timothy seed?\n" }, { "from": "gpt", "solution": "Find the 2004 column. Find the numbers in this column for lentils and Timothy seed.\n\nlentils: $14.00\nTimothy seed: $7.00\n\nNow subtract:\n\n$14.00 − $7.00 = $7.00\n\nIn 2004, lentils cost $7 more per cwt than Timothy seed.", "answer": "7", "table": "**Idaho crop prices per cwt**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Crop | 2004 | 2005 |\n| Timothy seed | $7 | $7 |\n| Onions | $7 | $8 |\n| Peas | $7 | $6 |\n| Lentils | $14 | $12 |\n| Potatoes | $4 | $6 |" } ] }, { "id": "22682", "image": "22682.png", "conversations": [ { "from": "human", "question": "How much money does Destiny need to buy a math book and a dictionary?\n" }, { "from": "gpt", "solution": "Add the price of a math book and the price of a dictionary:\n\n$19.00 + $16.00 = $35.00\n\nDestiny needs $35.00.", "answer": "35", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| photo album | $45.00 |\n| airplane calendar | $13.00 |\n| dictionary | $16.00 |\n| map of Africa | $10.00 |\n| math book | $19.00 |" } ] }, { "id": "22687", "image": "22687.png", "conversations": [ { "from": "human", "question": "Some dealerships compared their vehicle sales. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n65, 59, 67, 62, 55, 62, 78\n\nFirst, count how many numbers are in the group.\n\nThere are 7 numbers.\n\nNow add all the numbers together:\n\n65 + 59 + 67 + 62 + 55 + 62 + 78 = 448\n\nNow divide the sum by the number of numbers:\n\n448 ÷ 7 = 64\n\nThe mean is 64.", "answer": "64", "table": "**Vehicle sales**\n\n| Dealership | Number of vehicles |\n| --- | --- |\n| Braverton Autos | 65 |\n| Affordable Cars | 59 |\n| Clearance Cars | 67 |\n| Truck Town | 62 |\n| Thompson Auto Warehouse | 55 |\n| Truck City | 62 |\n| Cars of Pryor Falls | 78 |" } ] }, { "id": "22693", "image": "22693.png", "conversations": [ { "from": "human", "question": "Aiden's class recorded how many cans of food each student collected for their canned food drive. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 10, 9, 9, 10\n\nFirst, arrange the numbers from least to greatest:\n\n6, 9, 9, 10, 10\n\nNow find the number in the middle.\n\n6, 9, 9, 10, 10\n\nThe number in the middle is 9.\n\nThe median is 9.", "answer": "9", "table": "**Cans of food collected**\n\n| Name | Number of cans of food |\n| --- | --- |\n| Aiden | 6 |\n| Haley | 10 |\n| Chandler | 9 |\n| Troy | 9 |\n| Jared | 10 |" } ] }, { "id": "22706", "image": "22706.png", "conversations": [ { "from": "human", "question": "A car dealership tracked the number of cars sold each month. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n60, 60, 60, 56, 56, 59, 59\n\nFirst, arrange the numbers from least to greatest:\n\n56, 56, 59, 59, 60, 60, 60\n\nNow count how many times each number appears.\n\n56 appears 2 times.\n59 appears 2 times.\n60 appears 3 times.\n\nThe number that appears most often is 60.\n\nThe mode is 60.", "answer": "60", "table": "**Cars sold**\n\n| Month | Number of cars |\n| --- | --- |\n| August | 60 |\n| September | 60 |\n| October | 60 |\n| November | 56 |\n| December | 56 |\n| January | 59 |\n| February | 59 |" } ] }, { "id": "22710", "image": "22710.png", "conversations": [ { "from": "human", "question": "A toy store employee counted the number of toys in each bin in the sale section. How many bins had at least 49 toys but fewer than 58 toys?\n" }, { "from": "gpt", "solution": "Find the row with stem 4. Count all the leaves greater than or equal to 9.\n\nIn the row with stem 5, count all the leaves less than 8.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plots above. 4 bins had at least 49 toys but fewer than 58 toys.", "answer": "4", "table": "**Toys per bin**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 3 |\n| 4 | 7, 7, 9 |\n| 5 | 4, 5, 7 |\n| 6 | 1, 3, 8, 8 |\n| 7 | 1, 3, 4, 4, 7 |\n| 8 | 5, 7, 7, 8 |\n| 9 | 0 |" } ] }, { "id": "22714", "image": "22714.png", "conversations": [ { "from": "human", "question": "Martin tracked the attendance at the school play. On which day did the fewest people attend the play?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 313.\n\nNow find the corresponding day. Thursday corresponds to 313.", "answer": "Thursday", "table": "**Tickets sold**\n\n| Day | Number of tickets |\n| --- | --- |\n| Tuesday | 317 |\n| Wednesday | 371 |\n| Thursday | 313 |\n| Friday | 337 |" } ] }, { "id": "22721", "image": "22721.png", "conversations": [ { "from": "human", "question": "The city library monitored the number of books checked out each day. On which day were the most books checked out?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 676.\n\nNow find the corresponding day. Saturday corresponds to 676.", "answer": "Saturday", "table": "**Books checked out**\n\n| Day | Number of books |\n| --- | --- |\n| Thursday | 664 |\n| Friday | 674 |\n| Saturday | 676 |\n| Sunday | 647 |" } ] }, { "id": "22728", "image": "22728.png", "conversations": [ { "from": "human", "question": "Mrs. Gordon hosts an annual art contest for kids, and she keeps a record of the number of entries each year. According to the table, what was the rate of change between 2010 and 2011?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{34 entries - 25 entries}{2011 - 2010}\n = \\frac{34 entries - 25 entries}{1 year}\n = \\frac{9 entries}{1 year}\n = 9 entries per year\nThe rate of change between 2010 and 2011 was 9 entries per year.", "answer": "9", "table": "**Art contest entries**\n\n| Year | Number of entries |\n| --- | --- |\n| 2009 | 39 |\n| 2010 | 25 |\n| 2011 | 34 |\n| 2012 | 32 |\n| 2013 | 25 |" } ] }, { "id": "22729", "image": "22729.png", "conversations": [ { "from": "human", "question": "Anita buys 9/10 of a kilogram of catfish. How much does she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the catfish. Multiply the price per kilogram by the number of kilograms.\n$2 × \\frac{9}{10} = $2 × 0.9 = $1.80\nShe spends $1.80.", "answer": "1.80", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| halibut | $4/kilogram |\n| catfish | $2/kilogram |\n| tuna | $4/kilogram |\n| salmon | $2/kilogram |" } ] }, { "id": "22733", "image": "22733.png", "conversations": [ { "from": "human", "question": "A veterinarian weighed all the dogs that visited her office last month. How many dogs weighed exactly 30 pounds?\n" }, { "from": "gpt", "solution": "For the number 30, the stem is 3, and the leaf is 0. Find the row where the stem is 3. In that row, count all the leaves equal to 0.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 dogs weighed exactly 30 pounds.", "answer": "3", "table": "**Dogs' weights (lbs)**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 2, 3, 6, 6, 8, 9, 9 |\n| 3 | 0, 0, 0, 2, 3, 3, 4, 5 |\n| 4 | 1, 5, 5, 6, 7, 9 |\n| 5 | 2, 4, 8, 9 |" } ] }, { "id": "22737", "image": "22737.png", "conversations": [ { "from": "human", "question": "A school district compared how many students attend each elementary school. How many students attend Canyon Elementary and Green Pastures Elementary combined?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nCanyon Elementary: 851\nGreen Pastures Elementary: 553\n\nNow add: 851 + 553 = 1,404.\n\n1,404 students attend Canyon Elementary and Green Pastures Elementary.", "answer": "1,404", "table": "**Elementary school attendance**\n\n| School | Number of students |\n| --- | --- |\n| Canyon Elementary | 851 |\n| Eastside Elementary | 440 |\n| Green Pastures Elementary | 553 |" } ] }, { "id": "22739", "image": "22739.png", "conversations": [ { "from": "human", "question": "Edwin counted the number of pairs of shoes for sale at each of the shoe stores in the mall. How many stores have exactly 66 pairs of shoes?\n" }, { "from": "gpt", "solution": "For the number 66, the stem is 6, and the leaf is 6. Find the row where the stem is 6. In that row, count all the leaves equal to 6.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 stores have exactly 66 pairs of shoes.", "answer": "3", "table": "**Pairs of shoes per store**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 9 |\n| 3 | 4, 9 |\n| 4 | 0, 7, 7 |\n| 5 | 7, 9 |\n| 6 | 5, 6, 6, 6, 8 |\n| 7 | 2, 3, 3, 4, 8 |\n| 8 | 0, 4 |" } ] }, { "id": "22741", "image": "22741.png", "conversations": [ { "from": "human", "question": "Fans of the Sparrowtown baseball team compared the number of games won by their team each year. According to the table, what was the rate of change between 2016 and 2017?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{40 games - 38 games}{2017 - 2016}\n = \\frac{40 games - 38 games}{1 year}\n = \\frac{2 games}{1 year}\n = 2 games per year\nThe rate of change between 2016 and 2017 was 2 games per year.", "answer": "2", "table": "**Games won by the Sparrowtown baseball team**\n\n| Year | Games won |\n| --- | --- |\n| 2015 | 39 |\n| 2016 | 38 |\n| 2017 | 40 |\n| 2018 | 34 |\n| 2019 | 41 |" } ] }, { "id": "22746", "image": "22746.png", "conversations": [ { "from": "human", "question": "Logan surveyed people at the amusement park where he works and asked them how many times they visited last year. How many people went to an amusement park more than 2 times?\n" }, { "from": "gpt", "solution": "Find the rows for 3, 4, and 5 times. Add the frequencies for these rows.\n\nAdd:\n\n1 + 16 + 5 = 22\n\n22 people went to an amusement park more than 2 times.", "answer": "22", "table": "**Trips to an amusement park last year**\n\n| Number of trips | Frequency |\n| --- | --- |\n| 1 | 13 |\n| 2 | 10 |\n| 3 | 1 |\n| 4 | 16 |\n| 5 | 5 |" } ] }, { "id": "22761", "image": "22761.png", "conversations": [ { "from": "human", "question": "The owner of a plant nursery wrote down the number of roses on each bush. How many bushes have exactly 80 roses?\n" }, { "from": "gpt", "solution": "For the number 80, the stem is 8, and the leaf is 0. Find the row where the stem is 8. In that row, count all the leaves equal to 0.\n\nYou counted 0 leaves. 0 bushes have exactly 80 roses.", "answer": "0", "table": "**Roses per bush**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 3, 4, 4, 5, 8, 9 |\n| 3 | 2, 4, 7 |\n| 4 | 1, 7 |\n| 5 | 2, 5 |\n| 6 | 5, 6, 9, 9 |\n| 7 | 0, 3, 6 |\n| 8 | 4 |" } ] }, { "id": "22772", "image": "22772.png", "conversations": [ { "from": "human", "question": "Some friends compared the sizes of their stuffed animal collections. Who has the fewest stuffed animals?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 218.\n\nNow find the corresponding name. Katie corresponds to 218.", "answer": "Katie", "table": "**Stuffed animal collections**\n\n| Name | Number of stuffed animals |\n| --- | --- |\n| Isaac | 281 |\n| Edgar | 221 |\n| Justin | 282 |\n| Katie | 218 |" } ] }, { "id": "22775", "image": "22775.png", "conversations": [ { "from": "human", "question": "Wyatt buys 1 kilogram of pepperoni, 1 kilogram of sliced ham, and 3 kilograms of salami. How much does he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the pepperoni. Multiply:\n\n$2.01 × 1 = $2.01\n\nFind the cost of the sliced ham. Multiply:\n\n$1.69 × 1 = $1.69\n\nFind the cost of the salami. Multiply:\n\n$3.25 × 3 = $9.75\n\nNow find the total cost by adding:\n\n$2.01 + $1.69 + $9.75 = $13.45\n\nHe spends $13.45.", "answer": "13.45", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| smoked bacon | $2.61 per kilogram |\n| salami | $3.25 per kilogram |\n| pepperoni | $2.01 per kilogram |\n| sliced ham | $1.69 per kilogram |" } ] }, { "id": "22777", "image": "22777.png", "conversations": [ { "from": "human", "question": "Each table has 10 pepper shakers. How many pepper shakers are on 4 tables?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 40 pepper shakers on 4 tables.", "answer": "40", "table": "| Number of tables | Number of pepper shakers |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | ? |" } ] }, { "id": "22778", "image": "22778.png", "conversations": [ { "from": "human", "question": "Maura has $20,535.00. How much money will Maura have left if she buys a bat signed by a famous baseball player and a photograph signed by a famous television star?\n" }, { "from": "gpt", "solution": "Find the total cost of a bat signed by a famous baseball player and a photograph signed by a famous television star.\n\n$6,151.00 + $9,881.00 = $16,032.00\n\nNow subtract the total cost from the starting amount.\n\n$20,535.00 - $16,032.00 = $4,503.00\n\nMaura will have $4,503.00 left.", "answer": "4,503", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| photograph signed by a famous television star | $9,881.00 |\n| painting signed by a famous artist | $5,235.00 |\n| ball signed by a famous football player | $2,637.00 |\n| jersey signed by a famous basketball player | $4,043.00 |\n| jersey signed by a famous hockey player | $1,830.00 |\n| bat signed by a famous baseball player | $6,151.00 |" } ] }, { "id": "22779", "image": "22779.png", "conversations": [ { "from": "human", "question": "Janelle has $0.08. Does she have enough to buy a coyote stamp and a piece of bubble wrap?\n" }, { "from": "gpt", "solution": "Add the price of a coyote stamp and the price of a piece of bubble wrap:\n\n$0.02 + $0.07 = $0.09\n\n$0.09 is more than $0.08. Janelle does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| piece of bubble wrap | $0.07 |\n| duck stamp | $0.09 |\n| rose stamp | $0.07 |\n| coyote stamp | $0.02 |" } ] }, { "id": "22782", "image": "22782.png", "conversations": [ { "from": "human", "question": "A cookie factory monitored the number of broken cookies per pack yesterday. How many packs had exactly 54 broken cookies?\n" }, { "from": "gpt", "solution": "For the number 54, the stem is 5, and the leaf is 4. Find the row where the stem is 5. In that row, count all the leaves equal to 4.\n\nYou counted 1 leaf, which is blue in the stem-and-leaf plot above. 1 pack had exactly 54 broken cookies.", "answer": "1", "table": "**Broken cookies per pack**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 1, 3, 5, 6 |\n| 4 | 1, 2, 7 |\n| 5 | 4 |\n| 6 | 0, 6, 9 |\n| 7 | 1, 9 |" } ] }, { "id": "22794", "image": "22794.png", "conversations": [ { "from": "human", "question": "The players on a quiz show received the following scores. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n5, 4, 3, 3, 5, 6, 3, 4\n\nFirst, arrange the numbers from least to greatest:\n\n3, 3, 3, 4, 4, 5, 5, 6\n\nNow count how many times each number appears.\n\n3 appears 3 times.\n4 appears 2 times.\n5 appears 2 times.\n6 appears 1 time.\n\nThe number that appears most often is 3.\n\nThe mode is 3.", "answer": "3", "table": "**Quiz show scores**\n\n| Name | Score |\n| --- | --- |\n| Rob | 5 |\n| Denise | 4 |\n| Nina | 3 |\n| Ian | 3 |\n| Jim | 5 |\n| Lila | 6 |\n| Will | 3 |\n| Evan | 4 |" } ] }, { "id": "22801", "image": "22801.png", "conversations": [ { "from": "human", "question": "For an economics project, Cooper determined the cost of ferry rides for bicycles and cars. Which charges more for a bicycle, the Ocracoke ferry or the Seattle-Bremerton ferry?\n" }, { "from": "gpt", "solution": "Find the Bicycle column. Compare the numbers in this column for Ocracoke and Seattle-Bremerton.\n\n$8.00 is more than $3.00. The Seattle-Bremerton ferry charges more for a bicycle.", "answer": "Seattle-Bremerton", "table": "**Ferry fares**\n\n| Ferry | Car | Bicycle |\n| --- | --- | --- |\n| Seattle-Bremerton | $12 | $8 |\n| Southport-Fort Fisher | $5 | $2 |\n| Mukilteu-Clinton | $7 | $5 |\n| Fauntleroy-Vashon | $15 | $5 |\n| Ocracoke | $15 | $3 |" } ] }, { "id": "22811", "image": "22811.png", "conversations": [ { "from": "human", "question": "An administrator at the Department of Motor Vehicles (DMV) tracked the average wait time from month to month. According to the table, what was the rate of change between August and September?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{27 minutes - 12 minutes}{1 month}\n = \\frac{15 minutes}{1 month}\n = 15 minutes per month\nThe rate of change between August and September was 15 minutes per month.", "answer": "15", "table": "**Average waiting time at the DMV**\n\n| Month | Waiting time (minutes) |\n| --- | --- |\n| August | 12 |\n| September | 27 |\n| October | 18 |\n| November | 23 |\n| December | 22 |" } ] }, { "id": "22819", "image": "22819.png", "conversations": [ { "from": "human", "question": "Pedro has $82. Does he have enough to buy a ballet ticket and an opera ticket?\n" }, { "from": "gpt", "solution": "Add the price of a ballet ticket and the price of an opera ticket:\n\n$15 + $65 = $80\n\n$80 is less than $82. Pedro does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| ballet ticket | $15 |\n| car show ticket | $21 |\n| orchestra ticket | $38 |\n| opera ticket | $65 |" } ] }, { "id": "22820", "image": "22820.png", "conversations": [ { "from": "human", "question": "How much money does Olivia need to buy a scooter and a bicycle?\n" }, { "from": "gpt", "solution": "Add the price of a scooter and the price of a bicycle:\n\n$33.93 + $64.07 = $98.00\n\nOlivia needs $98.00.", "answer": "98", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| scooter | $33.93 |\n| bicycle | $64.07 |\n| soccer ball | $15.77 |\n| softball bat | $19.66 |" } ] }, { "id": "22825", "image": "22825.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which class ends at 3.30 P.M.?\n" }, { "from": "gpt", "solution": "Find 3:30 P. M. on the schedule. The tap dance class ends at 3:30 P. M.", "answer": "tap dance class", "table": "**Dance studio schedule**\n\n| Class | Begin | End |\n| --- | --- | --- |\n| hip hop dance | 8:45 A.M. | 9:15 A.M. |\n| swing dance | 9:25 A.M. | 10:35 A.M. |\n| modern dance | 10:40 A.M. | 11:50 A.M. |\n| ballroom dance | 12:05 P.M. | 1:00 P.M. |\n| advanced ballet | 1:05 P.M. | 2:15 P.M. |\n| tap dance | 2:25 P.M. | 3:30 P.M. |\n| salsa dance | 3:40 P.M. | 5:15 P.M. |\n| western dance | 5:20 P.M. | 6:55 P.M. |" } ] }, { "id": "22826", "image": "22826.png", "conversations": [ { "from": "human", "question": "Hakim has $30.50. Does he have enough to buy a yellow bath towel and a beach towel?\n" }, { "from": "gpt", "solution": "Add the price of a yellow bath towel and the price of a beach towel:\n\n$12.63 + $18.07 = $30.70\n\n$30.70 is more than $30.50. Hakim does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pillow | $11.98 |\n| yellow bath towel | $12.63 |\n| beach blanket | $14.61 |\n| beach towel | $18.07 |\n| navy blue bath mat | $15.23 |" } ] }, { "id": "22827", "image": "22827.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Dirk just missed the 9.45 A.M. train at Georgetown. What time is the next train?\n" }, { "from": "gpt", "solution": "Find 9:45 A. M. in the row for Georgetown.\n\nLook for the next train in that row.\n\nThe next train is at 10:30 A. M.", "answer": "10:30 A.M.", "table": "**Train schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 | Column 5 | Column 6 |\n| --- | --- | --- | --- | --- | --- |\n| Fairview | 6:30 A.M. | 6:45 A.M. | 7:30 A.M. | 10:45 A.M. | 11:00 A.M. |\n| Danville | 8:30 A.M. | 8:45 A.M. | 9:30 A.M. | 12:45 P.M. | 1:00 P.M. |\n| Georgetown | 9:30 A.M. | 9:45 A.M. | 10:30 A.M. | 1:45 P.M. | 2:00 P.M. |\n| Manchester | 10:15 A.M. | 10:30 A.M. | 11:15 A.M. | 2:30 P.M. | 2:45 P.M. |\n| Lexington | 11:15 A.M. | 11:30 A.M. | 12:15 P.M. | 3:30 P.M. | 3:45 P.M. |\n| Lakewood | 11:45 A.M. | 12:00 P.M. | 12:45 P.M. | 4:00 P.M. | 4:15 P.M. |\n| Milford | 1:45 P.M. | 2:00 P.M. | 2:45 P.M. | 6:00 P.M. | 6:15 P.M. |" } ] }, { "id": "22830", "image": "22830.png", "conversations": [ { "from": "human", "question": "Emilia went on a bird watching trip and jotted down the number of birds she saw each day. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n61, 60, 59, 50, 72\n\nFirst, find the greatest number. The greatest number is 72.\n\nNext, find the least number. The least number is 50.\n\nSubtract the least number from the greatest number:\n\n72 − 50 = 22\n\nThe range is 22.", "answer": "22", "table": "**Number of birds**\n\n| Day | Number of birds |\n| --- | --- |\n| Saturday | 61 |\n| Sunday | 60 |\n| Monday | 59 |\n| Tuesday | 50 |\n| Wednesday | 72 |" } ] }, { "id": "22835", "image": "22835.png", "conversations": [ { "from": "human", "question": "Kimberly, a fitness counselor, counted the number of pull-ups completed by each bootcamp participant. How many participants did at least 2 pull-ups?\n" }, { "from": "gpt", "solution": "Find the rows for 2, 3, 4, 5, and 6 pull-ups. Add the frequencies for these rows.\n\nAdd:\n\n7 + 17 + 15 + 10 + 9 = 58\n\n58 participants did at least 2 pull-ups.", "answer": "58", "table": "**Doing pull-ups**\n\n| Number of pull-ups | Frequency |\n| --- | --- |\n| 0 | 19 |\n| 1 | 8 |\n| 2 | 7 |\n| 3 | 17 |\n| 4 | 15 |\n| 5 | 10 |\n| 6 | 9 |" } ] }, { "id": "22836", "image": "22836.png", "conversations": [ { "from": "human", "question": "A flight attendant was counting the number of passengers present to see if any upgrades could be offered. The flight attendant's list contained passengers' Frequent Flyer status as well as number of bags checked. What is the probability that a randomly selected passenger has silver status and 1 checked bag? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the passenger has silver status\" and B be the event \"the passenger has 1 checked bag\".\nTo find the probability that a passenger has silver status and 1 checked bag, first identify the sample space and the event.\nThe outcomes in the sample space are the different passengers. Each passenger is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the passenger has silver status and 1 checked bag\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the passenger has silver status and 1 checked bag\", so look at the table to see how many passengers have silver status and 1 checked bag.\nThe number of passengers who have silver status and 1 checked bag is 4.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of passengers.\n6 + 4 + 4 + 4 = 18\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{4}{18}\n = \\frac{2}{9}\nThe probability that a passenger has silver status and 1 checked bag is \\frac{2}{9}.", "answer": "2/9", "table": "| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| | 0 checked bags | 1 checked bag |\n| Bronze status | 6 | 4 |\n| Silver status | 4 | 4 |" } ] }, { "id": "22839", "image": "22839.png", "conversations": [ { "from": "human", "question": "The bird watcher counted the number of birds in each flock that passed overhead. How many flocks had exactly 23 birds?\n" }, { "from": "gpt", "solution": "For the number 23, the stem is 2, and the leaf is 3. Find the row where the stem is 2. In that row, count all the leaves equal to 3.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 flocks had exactly23 birds.", "answer": "2", "table": "**Birds per flock**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 3, 3, 7 |\n| 3 | |\n| 4 | 4 |\n| 5 | 4 |\n| 6 | |\n| 7 | 3 |" } ] }, { "id": "22845", "image": "22845.png", "conversations": [ { "from": "human", "question": "The houses in Ann's town get their water from a local reservoir. Ann and a group of engineers monitor the water level for safety and health reasons. The change in water level over two months is shown in the table. During which month did the water level change more?\n" }, { "from": "gpt", "solution": "A positive change means the water level went up. A negative change means the water level went down.\nTo find the month the water level changed more, use absolute value. Absolute value tells you how much the water level changed each month.\nApril: |-6| = 6\nMay: |4| = 4\nThe water level went down 6 inches in April, and it only went up 4 inches in May. The water level changed more in April.", "answer": "April", "table": "| Month | Change in water level (in.) |\n| --- | --- |\n| April | -6 |\n| May | 4 |" } ] }, { "id": "22849", "image": "22849.png", "conversations": [ { "from": "human", "question": "A business magazine surveyed its readers about their commute times. What is the longest commute time?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 9.\n\nNow find the highest leaf in the last row. The highest leaf is 0.\n\nThe longest commute time has a stem of 9 and a leaf of 0. Write the stem first, then the leaf: 90.\n\nThe longest commute time is 90 minutes.", "answer": "90", "table": "**Commute time (minutes)**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 6 |\n| 3 | 5, 8, 9 |\n| 4 | 0, 4, 4 |\n| 5 | 3, 5 |\n| 6 | 3, 5, 9, 9 |\n| 7 | 0, 2, 8 |\n| 8 | 1, 5, 8 |\n| 9 | 0 |" } ] }, { "id": "22854", "image": "22854.png", "conversations": [ { "from": "human", "question": "Daniel just downloaded the new game Gem Excavator on his phone. In the first level, Daniel gains points for each green gem he finds. However, he loses points for each red gem he finds. The table shows how the gems affect Daniel's points. Which color gem affects Daniel's points less?\n" }, { "from": "gpt", "solution": "To find the gem that affects Daniel's points less, use absolute value. Absolute value tells you how much Daniel's points change for each color gem.\nGreen: |25| = 25\nRed: |-40| = 40\nDaniel gains 25 points for each green gem he finds, and he loses 40 points for each red gem he finds. So, the green gems affect Daniel's points less.", "answer": "green", "table": "| Gem color | Change in points |\n| --- | --- |\n| Green | 25 |\n| Red | -40 |" } ] }, { "id": "22856", "image": "22856.png", "conversations": [ { "from": "human", "question": "An administrator at the Department of Motor Vehicles (DMV) tracked the average wait time from month to month. According to the table, what was the rate of change between July and August?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{37 minutes - 40 minutes}{1 month}\n = \\frac{-3 minutes}{1 month}\n = -3 minutes per month\nThe rate of change between July and August was - 3 minutes per month.", "answer": "-3", "table": "**Average waiting time at the DMV**\n\n| Month | Waiting time (minutes) |\n| --- | --- |\n| April | 23 |\n| May | 27 |\n| June | 28 |\n| July | 40 |\n| August | 37 |" } ] }, { "id": "22858", "image": "22858.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $945, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $945, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $705 | 17,500 | 10,100 |\n| $825 | 15,000 | 12,800 |\n| $945 | 12,500 | 15,500 |\n| $1,065 | 10,000 | 18,200 |\n| $1,185 | 7,500 | 20,900 |" } ] }, { "id": "22873", "image": "22873.png", "conversations": [ { "from": "human", "question": "The week of her birthday, Christine paid attention to how many pieces of mail she received each day. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 9, 8, 8, 8, 9\n\nFirst, arrange the numbers from least to greatest:\n\n6, 8, 8, 8, 9, 9\n\nNow count how many times each number appears.\n\n6 appears 1 time.\n8 appears 3 times.\n9 appears 2 times.\n\nThe number that appears most often is 8.\n\nThe mode is 8.", "answer": "8", "table": "**Pieces of mail received**\n\n| Day | Number of pieces of mail |\n| --- | --- |\n| Thursday | 6 |\n| Friday | 9 |\n| Saturday | 8 |\n| Monday | 8 |\n| Tuesday | 8 |\n| Wednesday | 9 |" } ] }, { "id": "22882", "image": "22882.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does the ferry depart from Sandy Shores?\n" }, { "from": "gpt", "solution": "Find Sandy Shores on the schedule. Find the departure time for Sandy Shores.\n\nSandy Shores: 7:15 P. M.", "answer": "7:15 P.M.", "table": "**Ferry schedule**\n\n| Location | Arrive | Depart |\n| --- | --- | --- |\n| Grassy Beach | 6:40 A.M. | 6:50 A.M. |\n| Starfish City | 7:10 A.M. | 7:25 A.M. |\n| Crest View | 9:00 A.M. | 9:30 A.M. |\n| Pebble Town | 11:05 A.M. | 11:30 A.M. |\n| Cliff View | 1:10 P.M. | 1:25 P.M. |\n| Beach Town | 3:00 P.M. | 3:05 P.M. |\n| Bay Harbor | 4:45 P.M. | 4:55 P.M. |\n| Windy Sands | 5:20 P.M. | 5:45 P.M. |\n| Seagull Port | 6:05 P.M. | 6:25 P.M. |\n| Sandy Shores | 7:05 P.M. | 7:15 P.M. |" } ] }, { "id": "22884", "image": "22884.png", "conversations": [ { "from": "human", "question": "Several students participated in a race. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n32, 22, 38, 36, 28, 11, 26\n\nFirst, arrange the numbers from least to greatest:\n\n11, 22, 26, 28, 32, 36, 38\n\nNow find the number in the middle.\n\n11, 22, 26, 28, 32, 36, 38\n\nThe number in the middle is 28.\n\nThe median is 28.", "answer": "28", "table": "**Race results**\n\n| Runner | Time (minutes) |\n| --- | --- |\n| Wesley | 32 |\n| Richard | 22 |\n| Bella | 38 |\n| Dirk | 36 |\n| Sam | 28 |\n| Keenan | 11 |\n| Malia | 26 |" } ] }, { "id": "22886", "image": "22886.png", "conversations": [ { "from": "human", "question": "A machine at the candy factory dispensed different numbers of lemon-flavored candies into various bags. What is the smallest number of lemon-flavored candies?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 1.\n\nNow find the lowest leaf in the first row. The lowest leaf is 8.\n\nThe smallest number of lemon-flavored candies has a stem of 1 and a leaf of 8. Write the stem first, then the leaf: 18.\n\nThe smallest number of lemon-flavored candies is 18 lemon-flavored candies.", "answer": "18", "table": "**Lemon-flavored candies per bag**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 8 |\n| 2 | 1, 8 |\n| 3 | 7, 9 |\n| 4 | 5, 6, 8 |" } ] }, { "id": "22888", "image": "22888.png", "conversations": [ { "from": "human", "question": "Some students compared how many pairs of boots they own. How many students are there in all?\n" }, { "from": "gpt", "solution": "Add the frequencies for each row.\n\nAdd:\n\n2 + 20 + 7 + 14 + 5 = 48\n\nThere are 48 students in all.", "answer": "48", "table": "**Pairs of boots**\n\n| Number of pairs of boots | Frequency |\n| --- | --- |\n| 0 | 2 |\n| 1 | 20 |\n| 2 | 7 |\n| 3 | 14 |\n| 4 | 5 |" } ] }, { "id": "22890", "image": "22890.png", "conversations": [ { "from": "human", "question": "Each tray has 2 lemon scones. How many lemon scones are on 5 trays?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 10 lemon scones on 5 trays.", "answer": "10", "table": "| Number of trays | Number of lemon scones |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | 6 |\n| 4 | 8 |\n| 5 | ? |" } ] }, { "id": "22895", "image": "22895.png", "conversations": [ { "from": "human", "question": "After a scavenger hunt, a team counted the number of pine cones found by each of its members. How many people found at least 3 pine cones?\n" }, { "from": "gpt", "solution": "Find the rows for 3 and 4 pine cones. Add the frequencies for these rows.\n\nAdd:\n\n19 + 0 = 19\n\n19 people found at least 3 pine cones.", "answer": "19", "table": "**Finding pine cones**\n\n| Pine cones found | Frequency |\n| --- | --- |\n| 1 | 17 |\n| 2 | 8 |\n| 3 | 19 |\n| 4 | 0 |" } ] }, { "id": "22896", "image": "22896.png", "conversations": [ { "from": "human", "question": "A bus driver paid attention to how many passengers her bus had each day. On which day did the bus have the most passengers?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 79.\n\nNow find the corresponding day. Monday corresponds to 79.", "answer": "Monday", "table": "**People on the bus**\n\n| Day | Number of people |\n| --- | --- |\n| Saturday | 76 |\n| Sunday | 75 |\n| Monday | 79 |\n| Tuesday | 78 |" } ] }, { "id": "22900", "image": "22900.png", "conversations": [ { "from": "human", "question": "At their family reunion, the Bradley family recorded everyone's age. How many people are less than 70 years old?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 2, 3, 4, 5, and 6.\n\nYou counted 6 leaves, which are blue in the stem-and-leaf plot above. 6 people are less than 70 years old.", "answer": "6", "table": "**Ages**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 9, 9 |\n| 3 | 6 |\n| 4 | 0, 6 |\n| 5 | |\n| 6 | 3 |\n| 7 | 4, 9 |" } ] }, { "id": "22901", "image": "22901.png", "conversations": [ { "from": "human", "question": "How much money does Sarah need to buy a stove and a refrigerator?\n" }, { "from": "gpt", "solution": "Add the price of a stove and the price of a refrigerator:\n\n$458.00 + $997.00 = $1,455.00\n\nSarah needs $1,455.00.", "answer": "1,455", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| stove | $458.00 |\n| oven | $663.00 |\n| washing machine | $929.00 |\n| refrigerator | $997.00 |\n| barbecue grill | $563.00 |\n| water heater | $605.00 |" } ] }, { "id": "22903", "image": "22903.png", "conversations": [ { "from": "human", "question": "Norma has $1.00. Does she have enough to buy a black pen and a glue stick?\n" }, { "from": "gpt", "solution": "Add the price of a black pen and the price of a glue stick:\n\n$0.83 + $0.37 = $1.20\n\n$1.20 is more than $1.00. Norma does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| bright yellow highlighter | $0.98 |\n| black pen | $0.83 |\n| glue stick | $0.37 |\n| purple colored pencil | $0.77 |" } ] }, { "id": "22907", "image": "22907.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. How long does it take to get from the doctor's office to the playground?\n" }, { "from": "gpt", "solution": "Read the times in the first column for the doctor's office and the playground.\n\nFind the elapsed time between 10:15 A. M. and 1:00 P. M. The elapsed time is 2 hours and 45 minutes.\n\nNo matter which column of times you look at, the elapsed time is always 2 hours and 45 minutes.", "answer": "2 hours and 45 minutes", "table": "**Bus schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 | Column 5 | Column 6 |\n| --- | --- | --- | --- | --- | --- |\n| the grocery store | 9:00 A.M. | 9:15 A.M. | 9:30 A.M. | 9:45 A.M. | 10:30 A.M. |\n| the library | 9:15 A.M. | 9:30 A.M. | 9:45 A.M. | 10:00 A.M. | 10:45 A.M. |\n| the doctor's office | 10:15 A.M. | 10:30 A.M. | 10:45 A.M. | 11:00 A.M. | 11:45 A.M. |\n| the zoo | 10:45 A.M. | 11:00 A.M. | 11:15 A.M. | 11:30 A.M. | 12:15 P.M. |\n| the movie theater | 11:45 A.M. | 12:00 P.M. | 12:15 P.M. | 12:30 P.M. | 1:15 P.M. |\n| the science museum | 12:15 P.M. | 12:30 P.M. | 12:45 P.M. | 1:00 P.M. | 1:45 P.M. |\n| the playground | 1:00 P.M. | 1:15 P.M. | 1:30 P.M. | 1:45 P.M. | 2:30 P.M. |" } ] }, { "id": "22908", "image": "22908.png", "conversations": [ { "from": "human", "question": "Each apartment has 5 windows. How many windows are in 4 apartments?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 20 windows in 4 apartments.", "answer": "20", "table": "| Number of apartments | Number of windows |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | ? |" } ] }, { "id": "22913", "image": "22913.png", "conversations": [ { "from": "human", "question": "Use the data to answer the question below. Is the following statement about our solar system true or false? The volume of Mars is more than ten times as large as Mercury's.\n" }, { "from": "gpt", "solution": "To determine if this statement is true, calculate the value of ten times the volume of Mercury.\n\n6.08 x10^10 · 10^1\n = 6.08 x10^11 km^3\n\nThen compare the result to the volume of Mars. The volume of Mars is 1.63 x10^11 km^3, which is less than 6.08 x10^11 km^3. So, the volume of Mars is less than ten times as large as Mercury's.", "answer": "false", "table": "**Planet Volume (km3) Primary composition**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Mercury | 6.08 x | 1010 rock |\n| Venus | 9.28 x | 1011 rock |\n| Earth | 1.08 x | 1012 rock |\n| Mars | 1.63 x | 1011 rock |\n| Jupiter | 1.43 x | 1015 gas |\n| Saturn | 8.27 x | 1014 gas |\n| Uranus | 6.83 x | 1013 ice |\n| Neptune | 6.25 x | 1013 ice |" } ] }, { "id": "22916", "image": "22916.png", "conversations": [ { "from": "human", "question": "A toy store employee counted the number of toys in each bin in the sale section. How many bins had exactly 86 toys?\n" }, { "from": "gpt", "solution": "For the number 86, the stem is 8, and the leaf is 6. Find the row where the stem is 8. In that row, count all the leaves equal to 6.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 bins had exactly 86 toys.", "answer": "3", "table": "**Toys per bin**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 6 |\n| 2 | |\n| 3 | 2, 5 |\n| 4 | |\n| 5 | 0, 5 |\n| 6 | 0, 1 |\n| 7 | |\n| 8 | 1, 6, 6, 6 |" } ] }, { "id": "22927", "image": "22927.png", "conversations": [ { "from": "human", "question": "The Lancaster Chamber of Commerce researched the number of employees working at local companies. How many companies have exactly 5 employees?\n" }, { "from": "gpt", "solution": "For the number 5, the stem is 0, and the leaf is 5. Find the row where the stem is 0. In that row, count all the leaves equal to 5.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 companies have exactly 5 employees.", "answer": "2", "table": "**Company sizes (number of employees)**\n\n| Stem | Leaf |\n| --- | --- |\n| 0 | 5, 5, 7, 7, 9 |\n| 1 | |\n| 2 | 1, 1, 1, 6, 9, 9 |\n| 3 | 0, 8, 9 |\n| 4 | 2, 5 |\n| 5 | 0, 0, 4, 4 |" } ] }, { "id": "22930", "image": "22930.png", "conversations": [ { "from": "human", "question": "Rita wants to buy 3+1/2 pounds of soy flour. How much will she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the soy flour. Multiply the price per pound by the number of pounds.\n$4 × 3\\frac{1}{2} = $4 × 3.5 = $14\nShe will spend $14.", "answer": "14", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| whole wheat flour | $3/lb |\n| unbleached white flour | $6/lb |\n| bleached white flour | $5/lb |\n| soy flour | $4/lb |" } ] }, { "id": "22933", "image": "22933.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{8 - 0}{1 - 0}\n = \\frac{8}{1}\n = 8\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{16 - 0}{2 - 0}\n = \\frac{16}{2}\n = 8\nThe two rates of change are the same.\nIf you checked the rate of change between rows 2 and 3, you would find that it is also 8.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 0 | 0 |\n| 1 | 8 |\n| 2 | 16 |" } ] }, { "id": "22936", "image": "22936.png", "conversations": [ { "from": "human", "question": "Carmen's P.E. class participated in a push-up competition, and Carmen wrote down how many push-ups each person could do. What is the largest number of push-ups done?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 9.\n\nNow find the highest leaf in the last row. The highest leaf is 0.\n\nThe largest number of push-ups done has a stem of 9 and a leaf of 0. Write the stem first, then the leaf: 90.\n\nThe largest number of push-ups done is 90 push-ups.", "answer": "90", "table": "**Push-up competition (number of push-ups)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 3 |\n| 2 | 1, 1, 3, 5, 6 |\n| 3 | 7 |\n| 4 | 2, 3, 4, 8 |\n| 5 | 8 |\n| 6 | 1, 5 |\n| 7 | 1 |\n| 8 | 1, 4, 4 |\n| 9 | 0 |" } ] }, { "id": "22948", "image": "22948.png", "conversations": [ { "from": "human", "question": "How much money does Shelley need to buy 6 blocks of cheddar cheese and 6 bags of frozen vegetables?\n" }, { "from": "gpt", "solution": "Find the cost of 6 blocks of cheddar cheese.\n\n$2.07 × 6 = $12.42\n\nFind the cost of 6 bags of frozen vegetables.\n\n$3.27 × 6 = $19.62\n\nNow find the total cost.\n\n$12.42 + $19.62 = $32.04\n\nShelley needs $32.04.", "answer": "32.04", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| block of cheddar cheese | $2.07 |\n| bag of shredded cheese | $1.51 |\n| package of oatmeal cookies | $3.78 |\n| bag of marshmallows | $1.13 |\n| bag of frozen vegetables | $3.27 |\n| carton of ice cream | $3.45 |" } ] }, { "id": "22950", "image": "22950.png", "conversations": [ { "from": "human", "question": "A food magazine published a listing of local restaurant ratings. How many restaurants were rated exactly 28 points?\n" }, { "from": "gpt", "solution": "For the number 28, the stem is 2, and the leaf is 8. Find the row where the stem is 2. In that row, count all the leaves equal to 8.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 restaurants were rated exactly28 points.", "answer": "2", "table": "**Restaurant ratings**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 3, 6 |\n| 2 | 0, 1, 2, 2, 8, 8, 9 |\n| 3 | 0, 1, 6 |\n| 4 | 6 |" } ] }, { "id": "22955", "image": "22955.png", "conversations": [ { "from": "human", "question": "Mrs. Dudley kept track of her students' scores on last year's final exam. How many students scored exactly 65 points?\n" }, { "from": "gpt", "solution": "For the number 65, the stem is 6, and the leaf is 5. Find the row where the stem is 6. In that row, count all the leaves equal to 5.\n\nYou counted 1 leaf, which is blue in the stem-and-leaf plot above. 1 student scored exactly 65 points.", "answer": "1", "table": "**Final exam scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 3, 5 |\n| 3 | 8 |\n| 4 | 0, 2, 2, 8, 9 |\n| 5 | 1, 1, 2, 5, 5 |\n| 6 | 5 |" } ] }, { "id": "22959", "image": "22959.png", "conversations": [ { "from": "human", "question": "Each shelf has 2 bowls. How many bowls are on 4 shelves?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 8 bowls on 4 shelves.", "answer": "8", "table": "| Number of shelves | Number of bowls |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | 6 |\n| 4 | ? |" } ] }, { "id": "22965", "image": "22965.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does the train arrive at the hospital?\n" }, { "from": "gpt", "solution": "Find the hospital on the schedule. Find the arrival time for the hospital.\n\nhospital: 12:05 P. M.", "answer": "12:05 P.M.", "table": "**Light rail train schedule**\n\n| Location | Time |\n| --- | --- |\n| post office | 11:00 A.M. |\n| grocery store | 11:15 A.M. |\n| high school | 11:35 A.M. |\n| town square | 11:40 A.M. |\n| university | 11:55 A.M. |\n| hospital | 12:05 P.M. |\n| riverfront | 12:25 P.M. |\n| science museum | 12:45 P.M. |\n| elementary school | 1:10 P.M. |" } ] }, { "id": "22966", "image": "22966.png", "conversations": [ { "from": "human", "question": "A chef kept track of the number of bananas people ate last week in her cafeteria. How many people ate at least 5 bananas last week?\n" }, { "from": "gpt", "solution": "Find the rows for 5 and 6 bananas last week. Add the frequencies for these rows.\n\nAdd:\n\n5 + 1 = 6\n\n6 people ate at least 5 bananas last week.", "answer": "6", "table": "**Eating bananas last week**\n\n| Bananas eaten | Frequency |\n| --- | --- |\n| 0 | 8 |\n| 1 | 0 |\n| 2 | 6 |\n| 3 | 18 |\n| 4 | 11 |\n| 5 | 5 |\n| 6 | 1 |" } ] }, { "id": "22973", "image": "22973.png", "conversations": [ { "from": "human", "question": "Mitch, a journalism student, counted the number of pages in several major magazines. How many magazines had at least 40 pages but less than 100 pages?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 4, 5, 6, 7, 8, and 9.\n\nYou counted 5 leaves, which are blue in the stem-and-leaf plot above. 5 magazines had at least 40 pages but less than 100 pages.", "answer": "5", "table": "**Pages per magazine**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 9 |\n| 3 | |\n| 4 | 3 |\n| 5 | |\n| 6 | 1, 1 |\n| 7 | |\n| 8 | |\n| 9 | 0, 0 |" } ] }, { "id": "22974", "image": "22974.png", "conversations": [ { "from": "human", "question": "Every summer, Allie goes on a week-long canoe trip with her childhood camp friends. After the trip, she usually purchases some oars from the destination city. Her collection of oars is organized by year and type of wood. What is the probability that a randomly selected oar was made from spruce wood and was purchased in 2010? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the oar was made from spruce wood\" and B be the event \"the oar was purchased in 2010\".\nTo find the probability that a oar was made from spruce wood and was purchased in 2010, first identify the sample space and the event.\nThe outcomes in the sample space are the different oars. Each oar is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the oar was made from spruce wood and was purchased in 2010\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the oar was made from spruce wood and was purchased in 2010\", so look at the table to see how many oars were made from spruce wood and were purchased in 2010.\nThe number of oars that were made from spruce wood and were purchased in 2010 is 5.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of oars.\n5 + 1 + 6 + 1 = 13\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{5}{13}\nThe probability that a oar was made from spruce wood and was purchased in 2010 is \\frac{5}{13}.", "answer": "5/13", "table": "| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| | 2010 | 2011 |\n| Spruce wood | 5 | 6 |\n| Ash wood | 1 | 1 |" } ] }, { "id": "22978", "image": "22978.png", "conversations": [ { "from": "human", "question": "How much money does Janelle need to buy a wrench, a garden hose, and a rake?\n" }, { "from": "gpt", "solution": "Find the total cost of a wrench, a garden hose, and a rake.\n\n$11.05 + $23.85 + $15.99 = $50.89\n\nJanelle needs $50.89.", "answer": "50.89", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| watering can | $13.54 |\n| wrench | $11.05 |\n| rake | $15.99 |\n| lawn sprinkler | $23.48 |\n| shovel | $13.32 |\n| garden hose | $23.85 |" } ] }, { "id": "22979", "image": "22979.png", "conversations": [ { "from": "human", "question": "A pet store owner had his staff count the number of fish in each tank. How many tanks have exactly 43 fish?\n" }, { "from": "gpt", "solution": "For the number 43, the stem is 4, and the leaf is 3. Find the row where the stem is 4. In that row, count all the leaves equal to 3.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 tanks have exactly 43 fish.", "answer": "4", "table": "**Fish per tank**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 2 |\n| 3 | 0, 1, 6 |\n| 4 | 2, 3, 3, 3, 3, 4, 6, 7, 7 |\n| 5 | 2, 6, 6, 8, 9 |\n| 6 | 6, 9 |\n| 7 | 0, 7, 8 |" } ] }, { "id": "22987", "image": "22987.png", "conversations": [ { "from": "human", "question": "A city planner counted the number of floors per building in the downtown area. What is the largest number of floors?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 3.\n\nNow find the highest leaf in the last row. The highest leaf is 7.\n\nThe largest number of floors has a stem of 3 and a leaf of 7. Write the stem first, then the leaf: 37.\n\nThe largest number of floors is 37 floors.", "answer": "37", "table": "**Floors per building**\n\n| Stem | Leaf |\n| --- | --- |\n| 0 | 1, 3, 8 |\n| 1 | 0, 3, 5, 5, 5, 5, 8 |\n| 2 | 0, 2, 5, 7, 8, 9, 9 |\n| 3 | 0, 1, 2, 3, 4, 6, 7, 7 |" } ] }, { "id": "22988", "image": "22988.png", "conversations": [ { "from": "human", "question": "How much money does Cooper need to buy 5 cellos?\n" }, { "from": "gpt", "solution": "Find the total cost of 5 cellos by multiplying 5 times the price of a cello.\n\n$3,035.00 × 5 = $15,175.00\n\nCooper needs $15,175.00.", "answer": "15,175", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| violin | $6,074.00 |\n| oboe | $3,719.00 |\n| French horn | $1,065.00 |\n| cello | $3,035.00 |" } ] }, { "id": "23008", "image": "23008.png", "conversations": [ { "from": "human", "question": "Leroy has $1.00. Does he have enough to buy a nectarine and a kiwi?\n" }, { "from": "gpt", "solution": "Add the price of a nectarine and the price of a kiwi:\n\n$0.36 + $0.66 = $1.02\n\n$1.02 is more than $1.00. Leroy does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| nectarine | $0.36 |\n| kiwi | $0.66 |\n| tomato | $0.62 |\n| yellow pepper | $0.99 |\n| onion | $0.85 |" } ] }, { "id": "23009", "image": "23009.png", "conversations": [ { "from": "human", "question": "A hot dog stand kept track of the number of hot dogs sold each day. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n91, 83, 72, 83, 80, 71\n\nFirst, count how many numbers are in the group.\n\nThere are 6 numbers.\n\nNow add all the numbers together:\n\n91 + 83 + 72 + 83 + 80 + 71 = 480\n\nNow divide the sum by the number of numbers:\n\n480 ÷ 6 = 80\n\nThe mean is 80.", "answer": "80", "table": "**Hot dogs sold**\n\n| Day | Number of hot dogs |\n| --- | --- |\n| Saturday | 91 |\n| Sunday | 83 |\n| Monday | 72 |\n| Tuesday | 83 |\n| Wednesday | 80 |\n| Thursday | 71 |" } ] }, { "id": "23013", "image": "23013.png", "conversations": [ { "from": "human", "question": "Katie has $1.96. How much money will Katie have left if she buys an elastic band and a roll of electrical tape?\n" }, { "from": "gpt", "solution": "Find the total cost of an elastic band and a roll of electrical tape.\n\n$0.85 + $0.33 = $1.18\n\nNow subtract the total cost from the starting amount.\n\n$1.96 - $1.18 = $0.78\n\nKatie will have $0.78 left.", "answer": "0.78", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| brass clip | $0.21 |\n| small metal hook | $0.98 |\n| piece of plastic pipe | $0.29 |\n| roll of electrical tape | $0.33 |\n| elastic band | $0.85 |\n| flat-head bolt | $0.47 |" } ] }, { "id": "23015", "image": "23015.png", "conversations": [ { "from": "human", "question": "How much more does a model airplane cost than a teddy bear?\n" }, { "from": "gpt", "solution": "Subtract the price of a teddy bear from the price of a model airplane.\n\n$23.65 - $15.82 = $7.83\n\nA model airplane costs $7.83 more than a teddy bear.", "answer": "7.83", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| remote control car | $16.10 |\n| board game | $18.32 |\n| model airplane | $23.65 |\n| teddy bear | $15.82 |" } ] }, { "id": "23016", "image": "23016.png", "conversations": [ { "from": "human", "question": "The board of commerce recorded how many employees work at each company. Which company has the fewest employees?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 646.\n\nNow find the corresponding company. Madison Corporation corresponds to 646.", "answer": "Madison Corporation", "table": "**Company sizes**\n\n| Company | Number of employees |\n| --- | --- |\n| Davidson Insurance | 668 |\n| Madison Corporation | 646 |\n| ABC Electronics | 648 |\n| Benson and Blakely | 684 |" } ] }, { "id": "23017", "image": "23017.png", "conversations": [ { "from": "human", "question": "Tanner has $42.00. Does he have enough to buy a gray sweatshirt and a pair of boots?\n" }, { "from": "gpt", "solution": "Add the price of a gray sweatshirt and the price of a pair of boots:\n\n$19.00 + $26.00 = $45.00\n\n$45.00 is more than $42.00. Tanner does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| gray sweatshirt | $19.00 |\n| black jacket | $26.00 |\n| pair of boots | $26.00 |\n| red sweater | $14.00 |\n| pair of brown pants | $16.00 |" } ] }, { "id": "23020", "image": "23020.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $540, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $540, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $20 | 18,600 | 8,000 |\n| $150 | 15,500 | 8,200 |\n| $280 | 12,400 | 8,400 |\n| $410 | 9,300 | 8,600 |\n| $540 | 6,200 | 8,800 |" } ] }, { "id": "23026", "image": "23026.png", "conversations": [ { "from": "human", "question": "Emilio has $14,842. Does he have enough to buy a dump truck and a forklift?\n" }, { "from": "gpt", "solution": "Add the price of a dump truck and the price of a forklift:\n\n$6,224 + $9,160 = $15,384\n\n$15,384 is more than $14,842. Emilio does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| crane | $6,531 |\n| forklift | $9,160 |\n| hydrofoil | $8,456 |\n| dump truck | $6,224 |\n| race car | $8,386 |" } ] }, { "id": "23028", "image": "23028.png", "conversations": [ { "from": "human", "question": "The school district compared how many swings each elementary school has. Which school has the most swings?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 19.\n\nNow find the corresponding school. Newberry Elementary corresponds to 19.", "answer": "Newberry Elementary", "table": "**Swings**\n\n| School | Number of swings |\n| --- | --- |\n| Shoreline Elementary | 15 |\n| Lincoln Elementary | 18 |\n| Newberry Elementary | 19 |\n| Hillside Elementary | 13 |" } ] }, { "id": "23036", "image": "23036.png", "conversations": [ { "from": "human", "question": "Trisha graphed the temperature at noon for 5 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n10, 10, 5, 6, 10\n\nFirst, arrange the numbers from least to greatest:\n\n5, 6, 10, 10, 10\n\nNow find the number in the middle.\n\n5, 6, 10, 10, 10\n\nThe number in the middle is 10.\n\nThe median is 10.", "answer": "10", "table": "**Temperature at noon**\n\n| Day | Temperature (°C) |\n| --- | --- |\n| Monday | 10 |\n| Tuesday | 10 |\n| Wednesday | 5 |\n| Thursday | 6 |\n| Friday | 10 |" } ] }, { "id": "23055", "image": "23055.png", "conversations": [ { "from": "human", "question": "Daniel, a soup chef at a new restaurant, kept track of the first week's soup sales. What is the probability that a randomly selected soup was ordered in a bowl and was split pea? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the soup was ordered in a bowl\" and B be the event \"the soup was split pea\".\nTo find the probability that a soup was ordered in a bowl and was split pea, first identify the sample space and the event.\nThe outcomes in the sample space are the different soups. Each soup is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the soup was ordered in a bowl and was split pea\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the soup was ordered in a bowl and was split pea\", so look at the table to see how many soups were ordered in a bowl and were split pea.\nThe number of soups that were ordered in a bowl and were split pea is 5.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of soups.\n3 + 5 + 2 + 3 = 13\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{5}{13}\nThe probability that a soup was ordered in a bowl and was split pea is \\frac{5}{13}.", "answer": "5/13", "table": "| | Split pea | Chicken noodle |\n| --- | --- | --- |\n| Cup | 3 | 2 |\n| Bowl | 5 | 3 |" } ] }, { "id": "23068", "image": "23068.png", "conversations": [ { "from": "human", "question": "For an economics project, Nina determined the cost of ferry rides for bicycles and cars. How much higher is the fare for a car on the Fauntleroy-Vashon ferry than on the Southport-Fort Fisher ferry?\n" }, { "from": "gpt", "solution": "Find the Car column. Find the numbers in this column for Fauntleroy-Vashon and Southport-Fort Fisher.\n\nFauntleroy-Vashon: $15.00\nSouthport-Fort Fisher: $5.00\n\nNow subtract:\n\n$15.00 − $5.00 = $10.00\n\nThe fare for a car is $10 more on the Fauntleroy-Vashon ferry than on the Southport-Fort Fisher ferry.", "answer": "10", "table": "**Ferry fares**\n\n| Ferry | Car | Bicycle |\n| --- | --- | --- |\n| Ocracoke | $15 | $3 |\n| Fauntleroy-Vashon | $15 | $5 |\n| Mukilteu-Clinton | $7 | $5 |\n| Southport-Fort Fisher | $5 | $2 |" } ] }, { "id": "23074", "image": "23074.png", "conversations": [ { "from": "human", "question": "Tom has $1.96. How much money will Tom have left if he buys a white spindle shell and a dark gray shell?\n" }, { "from": "gpt", "solution": "Find the total cost of a white spindle shell and a dark gray shell.\n\n$0.13 + $0.95 = $1.08\n\nNow subtract the total cost from the starting amount.\n\n$1.96 - $1.08 = $0.88\n\nTom will have $0.88 left.", "answer": "0.88", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| white spindle shell | $0.13 |\n| pink conch shell | $0.79 |\n| scallop shell | $0.52 |\n| dark gray shell | $0.95 |" } ] }, { "id": "23075", "image": "23075.png", "conversations": [ { "from": "human", "question": "How much would it cost to buy 3 pounds of semisweet chocolate chips and 1 pound of white chocolate chips?\n" }, { "from": "gpt", "solution": "Find the cost of the semisweet chocolate chips. Multiply:\n\n$2 × 3 = $6\n\nFind the cost of the white chocolate chips. Multiply:\n\n$6 × 1 = $6\n\nNow find the total cost by adding:\n\n$6 + $6 = $12\n\nIt would cost $12.", "answer": "12", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| semisweet chocolate chips | $2 per lb |\n| white chocolate chips | $6 per lb |\n| peanut butter chips | $4 per lb |\n| dark chocolate chips | $4 per lb |\n| butterscotch chips | $3 per lb |" } ] }, { "id": "23078", "image": "23078.png", "conversations": [ { "from": "human", "question": "Estelle and her brother are at a store shopping for a beanbag chair for their school's library. The store sells beanbag chairs with different fabrics and types of filling. What is the probability that a randomly selected beanbag chair is made from velvet and is filled with foam? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the beanbag chair is made from velvet\" and B be the event \"the beanbag chair is filled with foam\".\nTo find the probability that a beanbag chair is made from velvet and is filled with foam, first identify the sample space and the event.\nThe outcomes in the sample space are the different beanbag chairs. Each beanbag chair is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the beanbag chair is made from velvet and is filled with foam\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the beanbag chair is made from velvet and is filled with foam\", so look at the table to see how many beanbag chairs are made from velvet and are filled with foam.\nThe number of beanbag chairs that are made from velvet and are filled with foam is 1.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of beanbag chairs.\n1 + 5 + 4 + 2 = 12\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{1}{12}\nThe probability that a beanbag chair is made from velvet and is filled with foam is \\frac{1}{12}.", "answer": "1/12", "table": "| | Foam | Beads |\n| --- | --- | --- |\n| Velvet | 1 | 4 |\n| Suede | 5 | 2 |" } ] }, { "id": "23084", "image": "23084.png", "conversations": [ { "from": "human", "question": "Every summer, Darnel goes on a week-long canoe trip with his childhood camp friends. After the trip, he usually purchases some oars from the destination city. His collection of oars is organized by year and type of wood. What is the probability that a randomly selected oar was purchased in 2010 and was made from spruce wood? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the oar was purchased in 2010\" and B be the event \"the oar was made from spruce wood\".\nTo find the probability that a oar was purchased in 2010 and was made from spruce wood, first identify the sample space and the event.\nThe outcomes in the sample space are the different oars. Each oar is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the oar was purchased in 2010 and was made from spruce wood\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the oar was purchased in 2010 and was made from spruce wood\", so look at the table to see how many oars were purchased in 2010 and were made from spruce wood.\nThe number of oars that were purchased in 2010 and were made from spruce wood is 2.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of oars.\n2 + 2 + 3 + 3 = 10\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{2}{10}\n = \\frac{1}{5}\nThe probability that a oar was purchased in 2010 and was made from spruce wood is \\frac{1}{5}.", "answer": "1/5", "table": "| | Spruce wood | Ash wood |\n| --- | --- | --- |\n| 2010 | 2 | 3 |\n| 2011 | 2 | 3 |" } ] }, { "id": "23091", "image": "23091.png", "conversations": [ { "from": "human", "question": "How much money does Brittany need to buy a coffee pot and 4 serving platters?\n" }, { "from": "gpt", "solution": "Find the cost of 4 serving platters.\n\n$12.47 × 4 = $49.88\n\nNow find the total cost.\n\n$12.24 + $49.88 = $62.12\n\nBrittany needs $62.12.", "answer": "62.12", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| coffee pot | $12.24 |\n| cutting board | $27.98 |\n| serving platter | $12.47 |\n| set of spoons | $14.09 |\n| glass bowl | $18.18 |" } ] }, { "id": "23094", "image": "23094.png", "conversations": [ { "from": "human", "question": "How much more does an elastic band cost than a brass clip?\n" }, { "from": "gpt", "solution": "Subtract the price of a brass clip from the price of an elastic band.\n\n$0.47 - $0.12 = $0.35\n\nAn elastic band costs $0.35 more than a brass clip.", "answer": "0.35", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| brass clip | $0.12 |\n| elastic band | $0.47 |\n| roll of electrical tape | $0.89 |\n| light bulb | $0.87 |\n| spool of gold wire | $0.63 |\n| four-inch nail | $0.15 |" } ] }, { "id": "23096", "image": "23096.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Austen got on the train at Floral Gardens at 6.00 P.M. What time will he get to Skyscraper City?\n" }, { "from": "gpt", "solution": "Find 6:00 P. M. in the row for Floral Gardens. That column shows the schedule for the train that Austen is on.\n\nLook down the column until you find the row for Skyscraper City.\n\nAusten will get to Skyscraper City at 6:30 P. M.", "answer": "6:30 P.M.", "table": "**Train schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 | Column 5 | Column 6 |\n| --- | --- | --- | --- | --- | --- |\n| Pleasant River Campground | 5:00 A.M. | 10:30 A.M. | 1:45 P.M. | 3:00 P.M. | 8:30 P.M. |\n| Rollercoaster Land | 5:30 A.M. | 11:00 A.M. | 2:15 P.M. | 3:30 P.M. | 9:00 P.M. |\n| Snowy Mountain | 6:15 A.M. | 11:45 A.M. | 3:00 P.M. | 4:15 P.M. | 9:45 P.M. |\n| Chickenville | 7:00 A.M. | 12:30 P.M. | 3:45 P.M. | 5:00 P.M. | 10:30 P.M. |\n| Comfy Pillows Resort | 7:45 A.M. | 1:15 P.M. | 4:30 P.M. | 5:45 P.M. | 11:15 P.M. |\n| Happy Cow Farm | 8:15 A.M. | 1:45 P.M. | 5:00 P.M. | 6:15 P.M. | 11:45 P.M. |\n| Floral Gardens | 9:15 A.M. | 2:45 P.M. | 6:00 P.M. | 7:15 P.M. | 12:45 A.M. |\n| Skyscraper City | 9:45 A.M. | 3:15 P.M. | 6:30 P.M. | 7:45 P.M. | 1:15 A.M. |\n| City of Green Trees | 10:45 A.M. | 4:15 P.M. | 7:30 P.M. | 8:45 P.M. | 2:15 A.M. |" } ] }, { "id": "23098", "image": "23098.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $475, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $475, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $475 | 15,500 | 6,100 |\n| $635 | 12,500 | 8,500 |\n| $795 | 9,500 | 10,900 |\n| $955 | 6,500 | 13,300 |\n| $1,115 | 3,500 | 15,700 |" } ] }, { "id": "23110", "image": "23110.png", "conversations": [ { "from": "human", "question": "A grocery store chain tracked the number of trips people made to its stores last week. How many people went to the grocery store exactly 4 times last week?\n" }, { "from": "gpt", "solution": "Find the row for 4 times and read the frequency. The frequency is 9.\n\n9 people went to the grocery store exactly 4 times last week.", "answer": "9", "table": "**Trips to the grocery store last week**\n\n| Number of trips | Frequency |\n| --- | --- |\n| 1 | 19 |\n| 2 | 4 |\n| 3 | 18 |\n| 4 | 9 |\n| 5 | 6 |" } ] }, { "id": "23111", "image": "23111.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does the tennis event end?\n" }, { "from": "gpt", "solution": "Find the tennis event on the schedule. Find the end time for the tennis event.\n\ntennis: 2:25 P. M.", "answer": "2:25 P.M.", "table": "**Summer Olympics schedule**\n\n| Event | Begin | End |\n| --- | --- | --- |\n| gymnastics | 11:55 A.M. | 1:40 P.M. |\n| tennis | 12:30 P.M. | 2:25 P.M. |\n| archery | 12:45 P.M. | 4:15 P.M. |\n| track and field | 3:40 P.M. | 5:50 P.M. |\n| marathon | 5:25 P.M. | 8:30 P.M. |" } ] }, { "id": "23123", "image": "23123.png", "conversations": [ { "from": "human", "question": "A high school basketball coach counted the number of points her team scored each game. How many games had at least 50 points but fewer than 70 points?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 5 and 6.\n\nYou counted 9 leaves, which are blue in the stem-and-leaf plot above. 9 games had at least 50 points but fewer than 70 points.", "answer": "9", "table": "**Points per game**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 3, 9 |\n| 3 | 7 |\n| 4 | 0, 1, 4, 5 |\n| 5 | 0, 1, 1, 2, 5, 7, 8, 9 |\n| 6 | 5 |\n| 7 | 3, 8, 9, 9, 9 |\n| 8 | 0, 1 |" } ] }, { "id": "23125", "image": "23125.png", "conversations": [ { "from": "human", "question": "How much money does Sue need to buy a mechanical pencil and a pink eraser?\n" }, { "from": "gpt", "solution": "Add the price of a mechanical pencil and the price of a pink eraser:\n\n$0.03 + $0.03 = $0.06\n\nSue needs $0.06.", "answer": "0.06", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| thin blue marker | $0.04 |\n| pink eraser | $0.03 |\n| package of crayons | $0.07 |\n| thick black marker | $0.06 |\n| mechanical pencil | $0.03 |" } ] }, { "id": "23130", "image": "23130.png", "conversations": [ { "from": "human", "question": "Sidney has $1.50. Does she have enough to buy a package of note cards and a glue stick?\n" }, { "from": "gpt", "solution": "Add the price of a package of note cards and the price of a glue stick:\n\n$0.80 + $0.58 = $1.38\n\n$1.38 is less than $1.50. Sidney does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| box of colored pencils | $0.87 |\n| package of note cards | $0.80 |\n| silver glitter pen | $0.92 |\n| box of staples | $0.82 |\n| glue stick | $0.58 |" } ] }, { "id": "23133", "image": "23133.png", "conversations": [ { "from": "human", "question": "Cameron, a doctor's office receptionist, tracked the average waiting time at the office each month. According to the table, what was the rate of change between August and September?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{16 minutes - 16 minutes}{1 month}\n = \\frac{0 minutes}{1 month}\n = 0 minutes per month\nThe rate of change between August and September was 0 minutes per month.", "answer": "0", "table": "**Average waiting time at a doctor's office**\n\n| Month | Waiting time (minutes) |\n| --- | --- |\n| June | 17 |\n| July | 26 |\n| August | 16 |\n| September | 16 |\n| October | 14 |" } ] }, { "id": "23137", "image": "23137.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{6 - 3}{1 - 0}\n = \\frac{3}{1}\n = 3\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{9 - 6}{2 - 1}\n = \\frac{3}{1}\n = 3\nThe two rates of change are the same.\nIf you checked the rate of change between rows 1 and 3, you would find that it is also 3.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 0 | 3 |\n| 1 | 6 |\n| 2 | 9 |" } ] }, { "id": "23146", "image": "23146.png", "conversations": [ { "from": "human", "question": "Stacy has $2.00. Does she have enough to buy a miniature padlock and a ball of twine?\n" }, { "from": "gpt", "solution": "Add the price of a miniature padlock and the price of a ball of twine:\n\n$0.83 + $0.97 = $1.80\n\n$1.80 is less than $2.00. Stacy does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| ball of twine | $0.97 |\n| roll of electrical tape | $0.84 |\n| piece of plastic pipe | $0.70 |\n| miniature padlock | $0.83 |" } ] }, { "id": "23159", "image": "23159.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Jasmine is at the library at 1.30 P.M. How soon can she get to the playground?\n" }, { "from": "gpt", "solution": "Look at the row for the library. Find the next bus departing from the library after 1:30 P. M. This bus departs from the library at 1:45 P. M.\n\nLook down the column until you find the row for the playground.\n\nJasmine will get to the playground at 3:00 P. M.", "answer": "3:00 P.M.", "table": "**Bus schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 | Column 5 | Column 6 |\n| --- | --- | --- | --- | --- | --- |\n| the school | 9:15 A.M. | 9:30 A.M. | 10:15 A.M. | 10:45 A.M. | 11:00 A.M. |\n| the science museum | 9:45 A.M. | 10:00 A.M. | 10:45 A.M. | 11:15 A.M. | 11:30 A.M. |\n| the doctor's office | 10:30 A.M. | 10:45 A.M. | 11:30 A.M. | 12:00 P.M. | 12:15 P.M. |\n| the kickball field | 11:30 A.M. | 11:45 A.M. | 12:30 P.M. | 1:00 P.M. | 1:15 P.M. |\n| the library | 12:15 P.M. | 12:30 P.M. | 1:15 P.M. | 1:45 P.M. | 2:00 P.M. |\n| the mall | 1:15 P.M. | 1:30 P.M. | 2:15 P.M. | 2:45 P.M. | 3:00 P.M. |\n| the playground | 1:30 P.M. | 1:45 P.M. | 2:30 P.M. | 3:00 P.M. | 3:15 P.M. |" } ] }, { "id": "23163", "image": "23163.png", "conversations": [ { "from": "human", "question": "Professor Dudley released the results of yesterday's pop quiz. How many students scored at least 20 points but fewer than 90 points?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 2, 3, 4, 5, 6, 7, and 8.\n\nYou counted 5 leaves, which are blue in the stem-and-leaf plot above. 5 students scored at least 20 points but fewer than 90 points.", "answer": "5", "table": "**Pop quiz scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 3 |\n| 2 | 2 |\n| 3 | |\n| 4 | 6 |\n| 5 | |\n| 6 | |\n| 7 | 3, 9 |\n| 8 | 3 |" } ] }, { "id": "23178", "image": "23178.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $375, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $375, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $335 | 20,300 | 1,200 |\n| $375 | 17,600 | 5,800 |\n| $415 | 14,900 | 10,400 |\n| $455 | 12,200 | 15,000 |\n| $495 | 9,500 | 19,600 |" } ] }, { "id": "23184", "image": "23184.png", "conversations": [ { "from": "human", "question": "Greer has a collection of marbles of different sizes and colors. What is the probability that a randomly selected marble is green and small? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the marble is green\" and B be the event \"the marble is small\".\nTo find the probability that a marble is green and small, first identify the sample space and the event.\nThe outcomes in the sample space are the different marbles. Each marble is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the marble is green and small\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the marble is green and small\", so look at the table to see how many marbles are green and small.\nThe number of marbles that are green and small is 8.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of marbles.\n7 + 2 + 3 + 8 = 20\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{8}{20}\n = \\frac{2}{5}\nThe probability that a marble is green and small is \\frac{2}{5}.", "answer": "2/5", "table": "| | Big | Small |\n| --- | --- | --- |\n| Red | 7 | 3 |\n| Green | 2 | 8 |" } ] }, { "id": "23186", "image": "23186.png", "conversations": [ { "from": "human", "question": "A store recently released a new line of alarm clocks that emits a smell to wake you up in the morning. The head of sales tracked buyers' ages and which smells they preferred. What is the probability that a randomly selected buyer purchased a clock scented like bacon and is a teenager? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the buyer purchased a clock scented like bacon\" and B be the event \"the buyer is a teenager\".\nTo find the probability that a buyer purchased a clock scented like bacon and is a teenager, first identify the sample space and the event.\nThe outcomes in the sample space are the different buyers. Each buyer is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the buyer purchased a clock scented like bacon and is a teenager\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the buyer purchased a clock scented like bacon and is a teenager\", so look at the table to see how many buyers purchased a clock scented like bacon and are a teenager.\nThe number of buyers who purchased a clock scented like bacon and are a teenager is 1.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of buyers.\n4 + 5 + 1 + 3 = 13\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{1}{13}\nThe probability that a buyer purchased a clock scented like bacon and is a teenager is \\frac{1}{13}.", "answer": "1/13", "table": "| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| | Under 13 years old | A teenager |\n| Bacon | 4 | 1 |\n| Cinnamon | 5 | 3 |" } ] }, { "id": "23191", "image": "23191.png", "conversations": [ { "from": "human", "question": "After a spelling bee, some students compared how many words they spelled correctly. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n45, 45, 47, 44, 48, 47, 44, 45\n\nFirst, arrange the numbers from least to greatest:\n\n44, 44, 45, 45, 45, 47, 47, 48\n\nNow count how many times each number appears.\n\n44 appears 2 times.\n45 appears 3 times.\n47 appears 2 times.\n48 appears 1 time.\n\nThe number that appears most often is 45.\n\nThe mode is 45.", "answer": "45", "table": "**Spelling bee results**\n\n| Name | Number of words spelled correctly |\n| --- | --- |\n| Ernest | 45 |\n| Cooper | 45 |\n| Nora | 47 |\n| Kylie | 44 |\n| Alexa | 48 |\n| Frank | 47 |\n| Brendan | 44 |\n| Laura | 45 |" } ] }, { "id": "23193", "image": "23193.png", "conversations": [ { "from": "human", "question": "How much money does Jenny need to buy a pineapple upside-down cake and a carrot cake?\n" }, { "from": "gpt", "solution": "Add the price of a pineapple upside-down cake and the price of a carrot cake:\n\n$19 + $13 = $32\n\nJenny needs $32.", "answer": "32", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| apple tart | $17 |\n| strawberry cheesecake | $11 |\n| pineapple upside-down cake | $19 |\n| wedding cake | $88 |\n| carrot cake | $13 |" } ] }, { "id": "23194", "image": "23194.png", "conversations": [ { "from": "human", "question": "How much money does Kylie need to buy a telephone and a microwave?\n" }, { "from": "gpt", "solution": "Add the price of a telephone and the price of a microwave:\n\n$50.00 + $64.00 = $114.00\n\nKylie needs $114.00.", "answer": "114", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| microwave | $64.00 |\n| radio | $22.00 |\n| telephone | $50.00 |\n| CD player | $35.00 |\n| computer mouse | $17.00 |" } ] }, { "id": "23196", "image": "23196.png", "conversations": [ { "from": "human", "question": "An economist tracked the amount of per-capita aid sent from the U.S. to various countries during the 1900s. Per capita, how much more aid did Nepal receive in 1985 than in 1975?\n" }, { "from": "gpt", "solution": "Find the Nepal row. Find the numbers in this row for 1985 and 1975.\n\n1985: $14.00\n1975: $3.00\n\nNow subtract:\n\n$14.00 − $3.00 = $11.00\n\nPer capita, Nepal received $11 more in aid in 1985 than in 1975.", "answer": "11", "table": "**Aid received per capita from the U.S.**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 1975 | 1985 |\n| Nepal | $3 | $14 |\n| Pakistan | $9 | $8 |\n| Algeria | $11 | $8 |" } ] }, { "id": "23199", "image": "23199.png", "conversations": [ { "from": "human", "question": "How much money does Brenda need to buy a king snake and a finch?\n" }, { "from": "gpt", "solution": "Add the price of a king snake and the price of a finch:\n\n$165.00 + $193.00 = $358.00\n\nBrenda needs $358.00.", "answer": "358", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| chameleon | $276.00 |\n| chinchilla | $187.00 |\n| king snake | $165.00 |\n| finch | $193.00 |\n| pot-bellied pig | $338.00 |" } ] }, { "id": "23203", "image": "23203.png", "conversations": [ { "from": "human", "question": "How much more does a book about hiking cost than a book about airplanes?\n" }, { "from": "gpt", "solution": "Subtract the price of a book about airplanes from the price of a book about hiking.\n\n$4.07 - $3.83 = $0.24\n\nA book about hiking costs $0.24 more than a book about airplanes.", "answer": "0.24", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| book about birds | $6.67 |\n| book about soccer | $3.36 |\n| book about airplanes | $3.83 |\n| book about hiking | $4.07 |" } ] }, { "id": "23206", "image": "23206.png", "conversations": [ { "from": "human", "question": "How much money does Devin need to buy a ladder and a shovel?\n" }, { "from": "gpt", "solution": "Add the price of a ladder and the price of a shovel:\n\n$36.00 + $20.00 = $56.00\n\nDevin needs $56.00.", "answer": "56", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| ladder | $36.00 |\n| lawn mower | $44.00 |\n| lawn sprinkler | $17.00 |\n| shovel | $20.00 |" } ] }, { "id": "23208", "image": "23208.png", "conversations": [ { "from": "human", "question": "A food magazine published a listing of local restaurant ratings. How many restaurants were rated exactly 20 points?\n" }, { "from": "gpt", "solution": "For the number 20, the stem is 2, and the leaf is 0. Find the row where the stem is 2. In that row, count all the leaves equal to 0.\n\nYou counted 0 leaves. 0 restaurants were rated exactly20 points.", "answer": "0", "table": "**Restaurant ratings**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 4, 5 |\n| 3 | 0, 0, 0, 0, 2, 6, 7, 8 |\n| 4 | 0, 0, 4, 6 |\n| 5 | 0 |" } ] }, { "id": "23211", "image": "23211.png", "conversations": [ { "from": "human", "question": "Derek buys 1/2 of a kilogram of Swiss. What is the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the Swiss. Multiply the price per kilogram by the number of kilograms.\n$2 × \\frac{1}{2} = $2 × 0.5 = $1\nThe total cost is $1.", "answer": "1", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| gorgonzola | $2 per kilogram |\n| Parmesan | $4 per kilogram |\n| cheddar | $4 per kilogram |\n| Swiss | $2 per kilogram |" } ] }, { "id": "23218", "image": "23218.png", "conversations": [ { "from": "human", "question": "Each hamburger place has 5 chefs. How many chefs are in 5 hamburger places?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 25 chefs in 5 hamburger places.", "answer": "25", "table": "| Number of hamburger places | Number of chefs |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | 20 |\n| 5 | ? |" } ] }, { "id": "23219", "image": "23219.png", "conversations": [ { "from": "human", "question": "Malia counted the number of articles in several different magazines. What is the largest number of articles?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 4.\n\nNow find the highest leaf in the last row. The highest leaf is 4.\n\nThe largest number of articles has a stem of 4 and a leaf of 4. Write the stem first, then the leaf: 44.\n\nThe largest number of articles is 44 articles.", "answer": "44", "table": "**Articles per magazine**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1, 1, 2, 3, 5 |\n| 2 | 0, 4 |\n| 3 | 8 |\n| 4 | 0, 3, 3, 4 |" } ] }, { "id": "23221", "image": "23221.png", "conversations": [ { "from": "human", "question": "How much money does Valentina need to buy pasta with tomato sauce, steamed broccoli, and pasta with white sauce?\n" }, { "from": "gpt", "solution": "Find the total cost of pasta with tomato sauce, steamed broccoli, and pasta with white sauce.\n\n$5 + $2 + $5 = $12\n\nValentina needs $12.", "answer": "12", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| spaghetti and meatballs | $7 |\n| steamed broccoli | $2 |\n| grilled eggplant | $9 |\n| pasta with white sauce | $5 |\n| pasta with tomato sauce | $5 |\n| green salad | $4 |" } ] }, { "id": "23229", "image": "23229.png", "conversations": [ { "from": "human", "question": "Mike has $0.04. Does he have enough to buy a piece of floral stationery and a white note card?\n" }, { "from": "gpt", "solution": "Add the price of a piece of floral stationery and the price of a white note card:\n\n$0.02 + $0.04 = $0.06\n\n$0.06 is more than $0.04. Mike does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| orange envelope | $0.03 |\n| piece of pink paper | $0.08 |\n| piece of elegant stationery | $0.05 |\n| white note card | $0.04 |\n| piece of floral stationery | $0.02 |" } ] }, { "id": "23245", "image": "23245.png", "conversations": [ { "from": "human", "question": "A Technical Assistance Manager monitored his customers' wait times. How many people waited for exactly 38 minutes?\n" }, { "from": "gpt", "solution": "For the number 38, the stem is 3, and the leaf is 8. Find the row where the stem is 3. In that row, count all the leaves equal to 8.\n\nYou counted 1 leaf, which is blue in the stem-and-leaf plot above. 1 person waited for exactly 38 minutes.", "answer": "1", "table": "**Technical assistance wait times (minutes)**\n\n| Stem | Leaf |\n| --- | --- |\n| 0 | 9 |\n| 1 | 4 |\n| 2 | |\n| 3 | 7, 8 |\n| 4 | 6 |\n| 5 | 3, 7 |\n| 6 | 3, 7 |\n| 7 | 2 |" } ] }, { "id": "23246", "image": "23246.png", "conversations": [ { "from": "human", "question": "Alana bought 1 pound of gouda, 4 pounds of Brie, and 1 pound of smoked cheddar. How much did she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the gouda. Multiply:\n\n$5 × 1 = $5\n\nFind the cost of the Brie. Multiply:\n\n$6 × 4 = $24\n\nFind the cost of the smoked cheddar. Multiply:\n\n$6 × 1 = $6\n\nNow find the total cost by adding:\n\n$5 + $24 + $6 = $35\n\nShe spent $35.", "answer": "35", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| Brie | $6/pound |\n| smoked cheddar | $6/pound |\n| feta | $9/pound |\n| gouda | $5/pound |\n| blue cheese | $3/pound |" } ] }, { "id": "23253", "image": "23253.png", "conversations": [ { "from": "human", "question": "The parks department compared how many basketball hoops there are at each park. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n3, 1, 3, 1, 9, 3, 9\n\nFirst, arrange the numbers from least to greatest:\n\n1, 1, 3, 3, 3, 9, 9\n\nNow count how many times each number appears.\n\n1 appears 2 times.\n3 appears 3 times.\n9 appears 2 times.\n\nThe number that appears most often is 3.\n\nThe mode is 3.", "answer": "3", "table": "**Basketball hoops**\n\n| Park | Number of basketball hoops |\n| --- | --- |\n| Canal Park | 3 |\n| Otter Park | 1 |\n| Linden Park | 3 |\n| Heron Park | 1 |\n| Kelly Park | 9 |\n| Riverfront Park | 3 |\n| Palm Park | 9 |" } ] }, { "id": "23258", "image": "23258.png", "conversations": [ { "from": "human", "question": "Mr. Blanchard recorded the scores of his students on the most recent math quiz. Which score did the greatest number of people receive?\n" }, { "from": "gpt", "solution": "Look at the frequency column. Find the greatest frequency. The greatest frequency is 17, which is in the row for 5. The greatest number of people scored 5.", "answer": "5", "table": "**Scores on the math quiz**\n\n| Score | Frequency |\n| --- | --- |\n| 5 | 17 |\n| 6 | 9 |\n| 7 | 6 |\n| 8 | 14 |\n| 9 | 16 |\n| 10 | 11 |" } ] }, { "id": "23262", "image": "23262.png", "conversations": [ { "from": "human", "question": "Use the data to answer the question below. Is the following statement about our solar system true or false? Three-quarters of the planets are larger than Earth.\n" }, { "from": "gpt", "solution": "To decide which planets are larger than Earth, look at the volumes of the other planets and compare the exponents to the exponent of Earth's volume. Earth's volume is 1.08 x10^12 km^3. Earth's volume is the only volume with an exponent of 12.\n\nThe volumes of Jupiter, Saturn, Uranus, and Neptune have exponents greater than 12, so these four planets are larger than Earth. There are eight planets total. So, one-half of the planets are larger than Earth.", "answer": "false", "table": "**Planet Volume (km3) Primary composition**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Mercury | 6.08 x | 1010 rock |\n| Venus | 9.28 x | 1011 rock |\n| Earth | 1.08 x | 1012 rock |\n| Mars | 1.63 x | 1011 rock |\n| Jupiter | 1.43 x | 1015 gas |\n| Saturn | 8.27 x | 1014 gas |\n| Uranus | 6.83 x | 1013 ice |\n| Neptune | 6.25 x | 1013 ice |" } ] }, { "id": "23266", "image": "23266.png", "conversations": [ { "from": "human", "question": "A biologist recorded the number of birds at lakes in Springtown. How many more ducks than swans live in Moon Lake?\n" }, { "from": "gpt", "solution": "Find the Moon Lake row. Find the numbers in this row for ducks and swans.\n\nducks: 16\nswans: 12\n\nNow subtract:\n\n16 − 12 = 4\n\n4 more ducks than swans live in Moon Lake.", "answer": "4", "table": "**Birds in local lakes**\n\n| Lake | Swans | Ducks |\n| --- | --- | --- |\n| Blue Lake | 12 | 14 |\n| Moon Lake | 12 | 16 |\n| Long Lake | 17 | 8 |\n| Canyon Lake | 9 | 4 |" } ] }, { "id": "23268", "image": "23268.png", "conversations": [ { "from": "human", "question": "Carla kept track of the number of games her soccer team won each year. According to the table, what was the rate of change between 2013 and 2014?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{22 games - 14 games}{2014 - 2013}\n = \\frac{22 games - 14 games}{1 year}\n = \\frac{8 games}{1 year}\n = 8 games per year\nThe rate of change between 2013 and 2014 was 8 games per year.", "answer": "8", "table": "**Games won by Carla's soccer team**\n\n| Year | Games won |\n| --- | --- |\n| 2012 | 21 |\n| 2013 | 14 |\n| 2014 | 22 |\n| 2015 | 20 |\n| 2016 | 18 |" } ] }, { "id": "23271", "image": "23271.png", "conversations": [ { "from": "human", "question": "A crayon factory monitored the number of broken crayons per box during the past day. How many boxes had at least 60 broken crayons?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 6, 7, 8, and 9.\n\nYou counted 7 leaves, which are blue in the stem-and-leaf plot above. 7 boxes had at least 60 broken crayons.", "answer": "7", "table": "**Broken crayons per box**\n\n| Stem | Leaf |\n| --- | --- |\n| 0 | 0, 1, 5, 5 |\n| 1 | |\n| 2 | 0 |\n| 3 | 1, 2, 6, 8 |\n| 4 | 2, 8 |\n| 5 | 1, 2 |\n| 6 | 2, 4 |\n| 7 | 1, 5 |\n| 8 | 8 |\n| 9 | 0, 0 |" } ] }, { "id": "23272", "image": "23272.png", "conversations": [ { "from": "human", "question": "Emmett, a park ranger, recorded the number of each type of tree in the Mercer County Park District. Which park has the fewest cherry trees?\n" }, { "from": "gpt", "solution": "Look at the numbers in the Cherry trees column. Find the least number in this column.\n\nThe least number is 13, which is in the Goose Park row. Goose Park has the fewest cherry trees.", "answer": "Goose Park", "table": "**Trees in city parks**\n\n| Park | Cherry trees | Apple trees |\n| --- | --- | --- |\n| Ross Park | 19 | 9 |\n| Glen Park | 16 | 14 |\n| Sawyer Park | 15 | 19 |\n| Lake Park | 18 | 13 |\n| Goose Park | 13 | 2 |" } ] }, { "id": "23275", "image": "23275.png", "conversations": [ { "from": "human", "question": "How much money does Joey need to buy a motorcycle and a kayak?\n" }, { "from": "gpt", "solution": "Add the price of a motorcycle and the price of a kayak:\n\n$640.00 + $845.00 = $1,485.00\n\nJoey needs $1,485.00.", "answer": "1,485", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| canoe | $996.00 |\n| kayak | $845.00 |\n| snowmobile | $838.00 |\n| motorcycle | $640.00 |\n| sailboat | $883.00 |" } ] }, { "id": "23276", "image": "23276.png", "conversations": [ { "from": "human", "question": "A researcher recorded the number of cows on each farm in the county. How many farms have exactly 62 cows?\n" }, { "from": "gpt", "solution": "For the number 62, the stem is 6, and the leaf is 2. Find the row where the stem is 6. In that row, count all the leaves equal to 2.\n\nYou counted 1 leaf, which is blue in the stem-and-leaf plot above. 1 farm has exactly 62 cows.", "answer": "1", "table": "**Cows per farm**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 2, 2, 7 |\n| 4 | 8, 9, 9 |\n| 5 | 0, 0, 1, 4, 5, 7 |\n| 6 | 0, 2 |" } ] }, { "id": "23277", "image": "23277.png", "conversations": [ { "from": "human", "question": "A printing shop kept a log of how many sheets of paper were used in the past 4 days. On which day did the printing shop use the most sheets of paper?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 589.\n\nNow find the corresponding day. Tuesday corresponds to 589.", "answer": "Tuesday", "table": "**Sheets of paper used**\n\n| Day | Number of sheets of paper |\n| --- | --- |\n| Tuesday | 589 |\n| Wednesday | 559 |\n| Thursday | 525 |\n| Friday | 528 |" } ] }, { "id": "23278", "image": "23278.png", "conversations": [ { "from": "human", "question": "The Castroville Soup Company recorded the number of rotten tomatoes in each barrel it received. How many barrels had less than 28 rotten tomatoes?\n" }, { "from": "gpt", "solution": "Count all the leaves in the row with stem 1.\n\nIn the row with stem 2, count all the leaves less than 8.\n\nYou counted 1 leaf, which is blue in the stem-and-leaf plots above. 1 barrel had less than 28 rotten tomatoes.", "answer": "1", "table": "**Rotten tomatoes per barrel**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 8 |\n| 2 | |\n| 3 | 3 |\n| 4 | |\n| 5 | 6, 9 |\n| 6 | |\n| 7 | 0 |\n| 8 | 9 |" } ] }, { "id": "23284", "image": "23284.png", "conversations": [ { "from": "human", "question": "Every year Ashland has a citywide relay and reports the winning times. According to the table, what was the rate of change between 2018 and 2019?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{43 minutes - 37 minutes}{2019 - 2018}\n = \\frac{43 minutes - 37 minutes}{1 year}\n = \\frac{6 minutes}{1 year}\n = 6 minutes per year\nThe rate of change between 2018 and 2019 was 6 minutes per year.", "answer": "6", "table": "**Winning relay times**\n\n| Year | Winning time (minutes) |\n| --- | --- |\n| 2016 | 44 |\n| 2017 | 41 |\n| 2018 | 37 |\n| 2019 | 43 |\n| 2020 | 38 |" } ] }, { "id": "23292", "image": "23292.png", "conversations": [ { "from": "human", "question": "Jamie, who rents properties for a living, measures all the offices in a building he is renting. How many offices are at least 40 square meters but less than 83 square meters?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 4, 5, 6, and 7.\n\nIn the row with stem 8, count all the leaves less than 3.\n\nYou counted 8 leaves, which are blue in the stem-and-leaf plots above. 8 offices are at least 40 square meters but less than 83 square meters.", "answer": "8", "table": "**Office sizes (square meters)**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 4, 4, 8 |\n| 4 | 2, 7 |\n| 5 | 3, 9 |\n| 6 | |\n| 7 | 2, 6, 6 |\n| 8 | 1, 6 |" } ] }, { "id": "23293", "image": "23293.png", "conversations": [ { "from": "human", "question": "The librarian at the public library counted the number of books on each shelf. What is the largest number of books?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 9.\n\nNow find the highest leaf in the last row. The highest leaf is 0.\n\nThe largest number of books has a stem of 9 and a leaf of 0. Write the stem first, then the leaf: 90.\n\nThe largest number of books is 90 books.", "answer": "90", "table": "**Books per shelf**\n\n| Stem | Leaf |\n| --- | --- |\n| 6 | 1, 5, 6, 7 |\n| 7 | |\n| 8 | 0, 3, 4, 4 |\n| 9 | 0 |" } ] }, { "id": "23302", "image": "23302.png", "conversations": [ { "from": "human", "question": "Nancy wrote down how many spelling words she practiced each day. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 7, 8, 10, 8\n\nFirst, count how many numbers are in the group.\n\nThere are 5 numbers.\n\nNow add all the numbers together:\n\n7 + 7 + 8 + 10 + 8 = 40\n\nNow divide the sum by the number of numbers:\n\n40 ÷ 5 = 8\n\nThe mean is 8.", "answer": "8", "table": "**Spelling words practiced**\n\n| Day | Number of spelling words |\n| --- | --- |\n| Wednesday | 7 |\n| Thursday | 7 |\n| Friday | 8 |\n| Saturday | 10 |\n| Sunday | 8 |" } ] }, { "id": "23317", "image": "23317.png", "conversations": [ { "from": "human", "question": "A juice shop tracked how many smoothies it sold in the past 4 days. On which day did the shop sell the most smoothies?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 96.\n\nNow find the corresponding day. Tuesday corresponds to 96.", "answer": "Tuesday", "table": "**Smoothies sold**\n\n| Day | Number of smoothies |\n| --- | --- |\n| Tuesday | 96 |\n| Wednesday | 94 |\n| Thursday | 91 |\n| Friday | 92 |" } ] }, { "id": "23327", "image": "23327.png", "conversations": [ { "from": "human", "question": "Some friends played miniature golf and wrote down their scores. How many more strokes did Hugo take than Anita?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nHugo: 137\nAnita: 128\n\nNow subtract: 137 - 128 = 9.\n\nHugo took 9 more strokes.", "answer": "9", "table": "**Miniature golf scores**\n\n| Name | Score |\n| --- | --- |\n| Anita | 128 |\n| Krysta | 135 |\n| Hugo | 137 |\n| Devin | 115 |" } ] }, { "id": "23330", "image": "23330.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which event ends at 6.05 P.M.?\n" }, { "from": "gpt", "solution": "Find 6:05 P. M. on the schedule. The diving event ends at 6:05 P. M.", "answer": "diving event", "table": "**Summer Olympics schedule**\n\n| Event | Begin | End |\n| --- | --- | --- |\n| badminton | 11:10 A.M. | 2:35 P.M. |\n| diving | 2:00 P.M. | 6:05 P.M. |\n| rowing | 4:45 P.M. | 7:25 P.M. |\n| cycling | 7:00 P.M. | 8:50 P.M. |\n| marathon | 7:25 P.M. | 9:30 P.M. |" } ] }, { "id": "23343", "image": "23343.png", "conversations": [ { "from": "human", "question": "A city planner counted the number of floors per building in the downtown area. What is the largest number of floors?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 7.\n\nNow find the highest leaf in the last row. The highest leaf is 7.\n\nThe largest number of floors has a stem of 7 and a leaf of 7. Write the stem first, then the leaf: 77.\n\nThe largest number of floors is 77 floors.", "answer": "77", "table": "**Floors per building**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 4, 5, 7 |\n| 2 | 0 |\n| 3 | 0, 0 |\n| 4 | |\n| 5 | 3 |\n| 6 | 0, 3 |\n| 7 | 5, 7 |" } ] }, { "id": "23350", "image": "23350.png", "conversations": [ { "from": "human", "question": "Tristan looked at his calendar to see how many hours he had worked in the past 7 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 3, 0, 7, 0, 3, 6\n\nFirst, find the greatest number. The greatest number is 9.\n\nNext, find the least number. The least number is 0.\n\nSubtract the least number from the greatest number:\n\n9 − 0 = 9\n\nThe range is 9.", "answer": "9", "table": "**Hours worked**\n\n| Day | Hours |\n| --- | --- |\n| Saturday | 9 |\n| Sunday | 3 |\n| Monday | 0 |\n| Tuesday | 7 |\n| Wednesday | 0 |\n| Thursday | 3 |\n| Friday | 6 |" } ] }, { "id": "23352", "image": "23352.png", "conversations": [ { "from": "human", "question": "A farmer recalled how many watermelons were harvested in the past 4 days. On which day were the fewest watermelons harvested?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 71.\n\nNow find the corresponding day. Friday corresponds to 71.", "answer": "Friday", "table": "**Watermelons harvested**\n\n| Day | Number of watermelons |\n| --- | --- |\n| Tuesday | 74 |\n| Wednesday | 79 |\n| Thursday | 72 |\n| Friday | 71 |" } ] }, { "id": "23374", "image": "23374.png", "conversations": [ { "from": "human", "question": "Keenan went to the store and bought 3.3 pounds of bean dip. How much did he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the bean dip. Multiply the price per pound by the number of pounds.\n$3 × 3.3 = $9.90\nHe spent $9.90.", "answer": "9.90", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| bean dip | $3/pound |\n| onion dip | $5/pound |\n| guacamole | $3/pound |\n| dill dip | $3/pound |\n| baba ghanoush | $2/pound |\n| hummus | $4/pound |" } ] }, { "id": "23375", "image": "23375.png", "conversations": [ { "from": "human", "question": "Scott's Candies has been studying how much chocolate people have been eating in different countries. How much more chocolate did Belgium consume per capita in 2005 than in 2002?\n" }, { "from": "gpt", "solution": "Find the Belgium row. Find the numbers in this row for 2005 and 2002.\n\n2005: 11\n2002: 8\n\nNow subtract:\n\n11 − 8 = 3\n\nBelgium consumed 3 kilograms more chocolate per capita in 2005 than in 2002.", "answer": "3", "table": "**Chocolate consumption per capita (kg)**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 2002 | 2005 |\n| Germany | 10 | 11 |\n| Austria | 8 | 9 |\n| Belgium | 8 | 11 |\n| Norway | 8 | 9 |\n| Switzerland | 11 | 10 |" } ] }, { "id": "23376", "image": "23376.png", "conversations": [ { "from": "human", "question": "Teachers at Ashland Elementary School asked students to name their favorite desserts. What fraction of the votes were for pudding? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many students voted for pudding.\n\n450\n\nFind how many votes there were in total.\n\n490 + 320 + 450 + 50 + 200 = 1,510\n\nDivide 450 by1,510.\n\n\\frac{450}{1,510}\n\nReduce the fraction.\n\n\\frac{450}{1,510} → \\frac{45}{151}\n\n\\frac{45}{151} of students voted for pudding.", "answer": "45/151", "table": "**Favorite desserts**\n\n| Dessert | Votes |\n| --- | --- |\n| Cookies | 490 |\n| Brownies | 320 |\n| Pudding | 450 |\n| Candy | 50 |\n| Other | 200 |" } ] }, { "id": "23377", "image": "23377.png", "conversations": [ { "from": "human", "question": "How much more does a shiny red bead cost than a tiny gold bead?\n" }, { "from": "gpt", "solution": "Subtract the price of a tiny gold bead from the price of a shiny red bead.\n\n$0.69 - $0.19 = $0.50\n\nA shiny red bead costs $0.50 more than a tiny gold bead.", "answer": "0.50", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| square yellow bead | $0.81 |\n| tiny gold bead | $0.19 |\n| orange glass bead | $0.74 |\n| shiny red bead | $0.69 |" } ] }, { "id": "23383", "image": "23383.png", "conversations": [ { "from": "human", "question": "Some students compared how many pairs of boots they own. How many students own fewer than 2 pairs of boots?\n" }, { "from": "gpt", "solution": "Find the rows for 0 and 1 pair of boots. Add the frequencies for these rows.\n\nAdd:\n\n0 + 1 = 1\n\n1 student owns fewer than 2 pairs of boots.", "answer": "1", "table": "**Pairs of boots**\n\n| Number of pairs of boots | Frequency |\n| --- | --- |\n| 0 | 0 |\n| 1 | 1 |\n| 2 | 13 |\n| 3 | 3 |" } ] }, { "id": "23387", "image": "23387.png", "conversations": [ { "from": "human", "question": "While hanging Christmas lights for neighbors, Zach counted the number of broken lights on each string. What is the largest number of broken lights?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 7.\n\nNow find the highest leaf in the last row. The highest leaf is 5.\n\nThe largest number of broken lights has a stem of 7 and a leaf of 5. Write the stem first, then the leaf: 75.\n\nThe largest number of broken lights is 75 broken lights.", "answer": "75", "table": "**Broken lights per string**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 1, 4, 9 |\n| 3 | 0, 2 |\n| 4 | 1, 3, 4 |\n| 5 | 5, 5, 6 |\n| 6 | 4, 5, 6, 6, 9 |\n| 7 | 2, 5 |" } ] }, { "id": "23395", "image": "23395.png", "conversations": [ { "from": "human", "question": "Isaac is a pediatrics nurse who conducts the first neonatal exam on newborn patients. He makes note of the newborns' height, weight, eye color, and heart rate, among other things. What is the probability that a randomly selected baby has blue eyes and has a slow heart rate (<100 bpm)? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the baby has blue eyes\" and B be the event \"the baby has a slow heart rate (<100 bpm)\".\nTo find the probability that a baby has blue eyes and has a slow heart rate (<100 bpm), first identify the sample space and the event.\nThe outcomes in the sample space are the different babies. Each baby is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the baby has blue eyes and has a slow heart rate (<100 bpm)\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the baby has blue eyes and has a slow heart rate (<100 bpm)\", so look at the table to see how many babies have blue eyes and have a slow heart rate (<100 bpm).\nThe number of babies who have blue eyes and have a slow heart rate (<100 bpm) is 5.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of babies.\n5 + 5 + 3 + 6 = 19\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{5}{19}\nThe probability that a baby has blue eyes and has a slow heart rate (<100 bpm) is \\frac{5}{19}.", "answer": "5/19", "table": "| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| | Slow heart rate (<100 bpm) | Fast heart rate (>100 bpm) |\n| Brown eyes | 5 | 3 |\n| Blue eyes | 5 | 6 |" } ] }, { "id": "23397", "image": "23397.png", "conversations": [ { "from": "human", "question": "Clara entered her sister into their town's Smelly Shoe Competition. Clara observed contestants of all ages proudly strutting around wearing different kinds of smelly shoes. What is the probability that a randomly selected contestant is under age 12 and is wearing high heels? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the contestant is under age 12\" and B be the event \"the contestant is wearing high heels\".\nTo find the probability that a contestant is under age 12 and is wearing high heels, first identify the sample space and the event.\nThe outcomes in the sample space are the different contestants. Each contestant is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the contestant is under age 12 and is wearing high heels\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the contestant is under age 12 and is wearing high heels\", so look at the table to see how many contestants are under age 12 and are wearing high heels.\nThe number of contestants who are under age 12 and are wearing high heels is 2.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of contestants.\n7 + 5 + 2 + 1 = 15\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{2}{15}\nThe probability that a contestant is under age 12 and is wearing high heels is \\frac{2}{15}.", "answer": "2/15", "table": "| | Tennis shoes | High heels |\n| --- | --- | --- |\n| Under age 12 | 7 | 2 |\n| 13 to 30 years old | 5 | 1 |" } ] }, { "id": "23398", "image": "23398.png", "conversations": [ { "from": "human", "question": "Each branch has 10 flowers. How many flowers are on 6 branches?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 60 flowers on 6 branches.", "answer": "60", "table": "| Number of branches | Number of flowers |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | 40 |\n| 5 | 50 |\n| 6 | ? |" } ] }, { "id": "23399", "image": "23399.png", "conversations": [ { "from": "human", "question": "How much money does Ben need to buy a golf ball, a bicycle helmet, and a swimsuit?\n" }, { "from": "gpt", "solution": "Find the total cost of a golf ball, a bicycle helmet, and a swimsuit.\n\n$2.33 + $8.14 + $8.80 = $19.27\n\nBen needs $19.27.", "answer": "19.27", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| softball glove | $9.69 |\n| bicycle helmet | $8.14 |\n| baseball | $2.18 |\n| golf ball | $2.33 |\n| swimsuit | $8.80 |\n| bike horn | $5.86 |" } ] }, { "id": "23401", "image": "23401.png", "conversations": [ { "from": "human", "question": "Quincy has $10,260.00. Does he have enough to buy a super desktop and a bright blue desktop?\n" }, { "from": "gpt", "solution": "Add the price of a super desktop and the price of a bright blue desktop:\n\n$1,552.00 + $9,038.00 = $10,590.00\n\n$10,590.00 is more than $10,260.00. Quincy does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| super desktop | $1,552.00 |\n| high-tech desktop | $4,364.00 |\n| wide-screen laptop | $8,499.00 |\n| bright blue desktop | $9,038.00 |" } ] }, { "id": "23413", "image": "23413.png", "conversations": [ { "from": "human", "question": "Colette's class recorded how many states each student has visited. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n2, 8, 3, 8, 8, 3, 2\n\nFirst, arrange the numbers from least to greatest:\n\n2, 2, 3, 3, 8, 8, 8\n\nNow count how many times each number appears.\n\n2 appears 2 times.\n3 appears 2 times.\n8 appears 3 times.\n\nThe number that appears most often is 8.\n\nThe mode is 8.", "answer": "8", "table": "**States visited**\n\n| Name | Number of states |\n| --- | --- |\n| Colette | 2 |\n| Kayla | 8 |\n| Lester | 3 |\n| Brandon | 8 |\n| Edmond | 8 |\n| Tammy | 3 |\n| Maddie | 2 |" } ] }, { "id": "23415", "image": "23415.png", "conversations": [ { "from": "human", "question": "A school administrator who was concerned about grade inflation looked over the number of straight-A students from year to year. According to the table, what was the rate of change between 2013 and 2014?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{34 students - 25 students}{2014 - 2013}\n = \\frac{34 students - 25 students}{1 year}\n = \\frac{9 students}{1 year}\n = 9 students per year\nThe rate of change between 2013 and 2014 was 9 students per year.", "answer": "9", "table": "**Straight-A students**\n\n| Year | Students |\n| --- | --- |\n| 2013 | 25 |\n| 2014 | 34 |\n| 2015 | 45 |\n| 2016 | 23 |\n| 2017 | 32 |" } ] }, { "id": "23417", "image": "23417.png", "conversations": [ { "from": "human", "question": "How much money does Adriana need to buy a chinchilla and a scorpion?\n" }, { "from": "gpt", "solution": "Add the price of a chinchilla and the price of a scorpion:\n\n$61 + $43 = $104\n\nAdriana needs $104.", "answer": "104", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pot-bellied pig | $93 |\n| cockatoo | $90 |\n| tarantula | $26 |\n| iguana | $36 |\n| scorpion | $43 |\n| chinchilla | $61 |" } ] }, { "id": "23433", "image": "23433.png", "conversations": [ { "from": "human", "question": "Professor Montoya released the results of yesterday's pop quiz. What is the highest score?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 9.\n\nNow find the highest leaf in the last row. The highest leaf is 0.\n\nThe highest score has a stem of 9 and a leaf of 0. Write the stem first, then the leaf: 90.\n\nThe highest score is 90 points.", "answer": "90", "table": "**Pop quiz scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 8 |\n| 2 | 5 |\n| 3 | 2 |\n| 4 | |\n| 5 | 1 |\n| 6 | 0 |\n| 7 | 9, 9 |\n| 8 | |\n| 9 | 0 |" } ] }, { "id": "23441", "image": "23441.png", "conversations": [ { "from": "human", "question": "A technical support line tracked how many calls it received each day. How many more calls did the support line receive on Thursday than on Friday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nThursday: 825\nFriday: 507\n\nNow subtract: 825 - 507 = 318.\n\nThe support line received 318 more calls on Thursday.", "answer": "318", "table": "**Phone calls received**\n\n| Day | Number of calls |\n| --- | --- |\n| Monday | 632 |\n| Tuesday | 222 |\n| Wednesday | 374 |\n| Thursday | 825 |\n| Friday | 507 |" } ] }, { "id": "23447", "image": "23447.png", "conversations": [ { "from": "human", "question": "The manager of a party supply store researched how many balloons it sold in the past 5 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 3, 9, 6, 10\n\nFirst, arrange the numbers from least to greatest:\n\n3, 6, 7, 9, 10\n\nNow find the number in the middle.\n\n3, 6, 7, 9, 10\n\nThe number in the middle is 7.\n\nThe median is 7.", "answer": "7", "table": "**Balloons sold**\n\n| Day | Number of balloons |\n| --- | --- |\n| Sunday | 7 |\n| Monday | 3 |\n| Tuesday | 9 |\n| Wednesday | 6 |\n| Thursday | 10 |" } ] }, { "id": "23448", "image": "23448.png", "conversations": [ { "from": "human", "question": "A county agency recorded the money donated to several charitable causes over time. In March, which cause raised the least money?\n" }, { "from": "gpt", "solution": "Look at the numbers in the March column. Find the least number in this column.\n\nThe least number is $3.00, which is in the Parks row. In March, the least money was raised for parks.", "answer": "parks", "table": "**Donations received**\n\n| Cause | March | April |\n| --- | --- | --- |\n| Hunger | $7 | $13 |\n| Parks | $3 | $1 |\n| Education | $9 | $14 |\n| Medical research | $16 | $19 |\n| Animals | $9 | $9 |" } ] }, { "id": "23449", "image": "23449.png", "conversations": [ { "from": "human", "question": "A sports fan decided to examine the pattern of medals won by certain countries at several Olympic games. Which country won fewer medals in 2004, Brazil or Finland?\n" }, { "from": "gpt", "solution": "Find the 2004 column. Compare the numbers in this column for Brazil and Finland.\n\n2 is less than 10. Finland won fewer medals in 2004.", "answer": "Finland", "table": "**Olympic medals**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 2000 | 2004 |\n| Brazil | 12 | 10 |\n| Sweden | 12 | 7 |\n| Finland | 4 | 2 |" } ] }, { "id": "23458", "image": "23458.png", "conversations": [ { "from": "human", "question": "The town council reported on how many stop signs there are on each street. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 11, 6, 11, 6\n\nFirst, arrange the numbers from least to greatest:\n\n6, 6, 6, 11, 11\n\nNow count how many times each number appears.\n\n6 appears 3 times.\n11 appears 2 times.\n\nThe number that appears most often is 6.\n\nThe mode is 6.", "answer": "6", "table": "**Stop signs**\n\n| Street | Number of stop signs |\n| --- | --- |\n| Watson Street | 6 |\n| Peabody Street | 11 |\n| Marshall Street | 6 |\n| Jackson Street | 11 |\n| Irving Street | 6 |" } ] }, { "id": "23461", "image": "23461.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does the relay race begin?\n" }, { "from": "gpt", "solution": "Find the relay race on the schedule. Find the beginning time for the relay race.\n\nrelay race: 12:25 P. M.", "answer": "12:25 P.M.", "table": "**Field day schedule**\n\n| Event | Begin | End |\n| --- | --- | --- |\n| hurdles | 10:20 A.M. | 11:20 A.M. |\n| jump rope race | 11:35 A.M. | 12:15 P.M. |\n| relay race | 12:25 P.M. | 1:15 P.M. |\n| water balloon toss | 1:30 P.M. | 2:20 P.M. |\n| egg relay | 2:25 P.M. | 3:25 P.M. |\n| parachute ball toss | 3:35 P.M. | 3:45 P.M. |\n| hula hoop contest | 3:50 P.M. | 4:20 P.M. |\n| three-legged race | 4:30 P.M. | 5:25 P.M. |" } ] }, { "id": "23463", "image": "23463.png", "conversations": [ { "from": "human", "question": "Employees at Dave's Movies tracked the number of movies that customers rented last month. How many customers are there in all?\n" }, { "from": "gpt", "solution": "Add the frequencies for each row.\n\nAdd:\n\n11 + 18 + 12 + 0 + 5 + 17 = 63\n\nThere are 63 customers in all.", "answer": "63", "table": "**Renting movies last month**\n\n| Number of times | Frequency |\n| --- | --- |\n| 0 | 11 |\n| 1 | 18 |\n| 2 | 12 |\n| 3 | 0 |\n| 4 | 5 |\n| 5 | 17 |" } ] }, { "id": "23472", "image": "23472.png", "conversations": [ { "from": "human", "question": "A donut shop recorded how many donuts it sold in the past 4 days. How many more donuts did the shop sell on Thursday than on Saturday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nThursday: 6,867\nSaturday: 2,634\n\nNow subtract: 6,867 - 2,634 = 4,233.\n\nThe shop sold 4,233 more donuts on Thursday.", "answer": "4,233", "table": "**Donuts sold**\n\n| Day | Number of donuts |\n| --- | --- |\n| Wednesday | 5,152 |\n| Thursday | 6,867 |\n| Friday | 3,877 |\n| Saturday | 2,634 |" } ] }, { "id": "23473", "image": "23473.png", "conversations": [ { "from": "human", "question": "The Princeton Chamber of Commerce researched the number of employees working at local companies. How many companies have at least 17 employees but less than 47 employees?\n" }, { "from": "gpt", "solution": "Find the row with stem 1. Count all the leaves greater than or equal to 7.\n\nCount all the leaves in the rows with stems 2 and 3.\n\nIn the row with stem 4, count all the leaves less than 7.\n\nYou counted 6 leaves, which are blue in the stem-and-leaf plots above. 6 companies have at least 17 employees but less than 47 employees.", "answer": "6", "table": "**Company sizes (number of employees)**\n\n| Stem | Leaf |\n| --- | --- |\n| 0 | 7 |\n| 1 | 0, 6 |\n| 2 | 1, 3, 6, 7, 7 |\n| 3 | |\n| 4 | 3, 8 |\n| 5 | 2 |\n| 6 | 3, 4, 6 |\n| 7 | 2, 7, 8 |" } ] }, { "id": "23479", "image": "23479.png", "conversations": [ { "from": "human", "question": "Fred counted the number of pairs of shoes for sale at each of the shoe stores in the mall. How many stores have exactly 83 pairs of shoes?\n" }, { "from": "gpt", "solution": "For the number 83, the stem is 8, and the leaf is 3. Find the row where the stem is 8. In that row, count all the leaves equal to 3.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 stores have exactly 83 pairs of shoes.", "answer": "2", "table": "**Pairs of shoes per store**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 9 |\n| 2 | 5, 6, 8 |\n| 3 | |\n| 4 | 2, 6 |\n| 5 | 5 |\n| 6 | 2 |\n| 7 | 2 |\n| 8 | 3, 3 |" } ] }, { "id": "23482", "image": "23482.png", "conversations": [ { "from": "human", "question": "An agricultural agency is researching how much cheese people have been eating in different parts of the world. How much cheese was consumed per capita in Austria in 2006?\n" }, { "from": "gpt", "solution": "First, find the row for Austria. Then find the number in the 2006 column.\n\nThis number is 17. In 2006, people in Austria consumed 17 kilograms of cheese per capita.", "answer": "17", "table": "**Cheese consumption per capita (kg)**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 1996 | 2006 |\n| Argentina | 11 | 11 |\n| Great Britain | 9 | 10 |\n| Austria | 10 | 17 |" } ] }, { "id": "23486", "image": "23486.png", "conversations": [ { "from": "human", "question": "The manager of a candy factory looked at a report on the number of jelly beans made each day. How many more jelly beans did the factory make on Tuesday than on Sunday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nTuesday: 7,729\nSunday: 3,598\n\nNow subtract: 7,729 - 3,598 = 4,131.\n\nThe factory made 4,131 more jelly beans on Tuesday.", "answer": "4,131", "table": "**Jelly beans made**\n\n| Day | Number of jelly beans |\n| --- | --- |\n| Friday | 1,514 |\n| Saturday | 6,694 |\n| Sunday | 3,598 |\n| Monday | 4,608 |\n| Tuesday | 7,729 |" } ] }, { "id": "23489", "image": "23489.png", "conversations": [ { "from": "human", "question": "Savannah has $2.00. Does she have enough to buy a ruler and a yellow highlighter?\n" }, { "from": "gpt", "solution": "Add the price of a ruler and the price of a yellow highlighter:\n\n$1.04 + $1.21 = $2.25\n\n$2.25 is more than $2.00. Savannah does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| ruler | $1.04 |\n| eraser | $1.02 |\n| box of paper clips | $1.05 |\n| pencil sharpener | $1.37 |\n| box of markers | $3.16 |\n| yellow highlighter | $1.21 |" } ] }, { "id": "23491", "image": "23491.png", "conversations": [ { "from": "human", "question": "A game show viewer monitors how often a wheel numbered 1 through 5 stops at each number. How many people spun a number less than 2?\n" }, { "from": "gpt", "solution": "Find the row for 1 and read the frequency. The frequency is 0.\n\n0 people spun a number less than 2.", "answer": "0", "table": "**Spinning a wheel numbered 1 through 5**\n\n| Number spun | Frequency |\n| --- | --- |\n| 1 | 0 |\n| 2 | 1 |\n| 3 | 3 |\n| 4 | 8 |\n| 5 | 6 |" } ] }, { "id": "23499", "image": "23499.png", "conversations": [ { "from": "human", "question": "Colleen counted the pages in each book on her English class's required reading list. How many books had exactly 43 pages?\n" }, { "from": "gpt", "solution": "For the number 43, the stem is 4, and the leaf is 3. Find the row where the stem is 4. In that row, count all the leaves equal to 3.\n\nYou counted 0 leaves. 0 books had exactly 43 pages.", "answer": "0", "table": "**Pages per book**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 7, 8 |\n| 5 | 0, 5, 6, 7, 9 |\n| 6 | 0, 7 |\n| 7 | 6, 8 |\n| 8 | 5 |" } ] }, { "id": "23502", "image": "23502.png", "conversations": [ { "from": "human", "question": "An economics student recorded the amount of per-capita aid that the U.S. gave to various countries during the 1900s. Of the countries shown, which received the least aid per capita in 1980?\n" }, { "from": "gpt", "solution": "Look at the numbers in the 1980 column. Find the least number in this column.\n\nThe least number is $2.00, which is in the Afghanistan row. In 1980, Afghanistan received the least aid per capita.", "answer": "Afghanistan", "table": "**Aid received per capita from the U.S.**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 1980 | 1990 |\n| Pakistan | $14 | $10 |\n| Afghanistan | $2 | $7 |\n| Algeria | $9 | $10 |" } ] }, { "id": "23503", "image": "23503.png", "conversations": [ { "from": "human", "question": "A game show viewer monitors how often a wheel numbered 1 through 5 stops at each number. Which number was spun the most times?\n" }, { "from": "gpt", "solution": "Look at the frequency column. Find the greatest frequency. The greatest frequency is 19, which is in the row for 1. 1 was spun the most times.", "answer": "1", "table": "**Spinning a wheel numbered 1 through 5**\n\n| Number spun | Frequency |\n| --- | --- |\n| 1 | 19 |\n| 2 | 1 |\n| 3 | 15 |\n| 4 | 9 |\n| 5 | 14 |" } ] }, { "id": "23507", "image": "23507.png", "conversations": [ { "from": "human", "question": "A video store clerk looked up the number of movies checked out each day. On which day were the fewest movies checked out?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 729.\n\nNow find the corresponding day. Monday corresponds to 729.", "answer": "Monday", "table": "**Movies checked out**\n\n| Day | Number of movies |\n| --- | --- |\n| Sunday | 797 |\n| Monday | 729 |\n| Tuesday | 792 |\n| Wednesday | 772 |" } ] }, { "id": "23521", "image": "23521.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{12 - 20}{18 - 17}\n = \\frac{-8}{1}\n = -8\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{4 - 12}{19 - 18}\n = \\frac{-8}{1}\n = -8\nThe two rates of change are the same.\n8.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 17 | 20 |\n| 18 | 12 |\n| 19 | 4 |" } ] }, { "id": "23526", "image": "23526.png", "conversations": [ { "from": "human", "question": "A museum curator counted the number of paintings in each exhibit at the art museum. How many exhibits have exactly 71 paintings?\n" }, { "from": "gpt", "solution": "For the number 71, the stem is 7, and the leaf is 1. Find the row where the stem is 7. In that row, count all the leaves equal to 1.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 exhibits have exactly 71 paintings.", "answer": "4", "table": "**Paintings per exhibit**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 3, 9 |\n| 2 | |\n| 3 | 3, 4, 6 |\n| 4 | 1, 2, 4, 4, 8, 9 |\n| 5 | 1, 5 |\n| 6 | 0, 6, 7 |\n| 7 | 1, 1, 1, 1, 2, 4, 6, 7 |" } ] }, { "id": "23527", "image": "23527.png", "conversations": [ { "from": "human", "question": "Harper kept track of the number of characters in each book she read. What is the largest number of characters?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 5.\n\nNow find the highest leaf in the last row. The highest leaf is 8.\n\nThe largest number of characters has a stem of 5 and a leaf of 8. Write the stem first, then the leaf: 58.\n\nThe largest number of characters is 58 characters.", "answer": "58", "table": "**Characters per book**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 6, 9, 9 |\n| 2 | 2, 3, 8 |\n| 3 | 0, 3, 5 |\n| 4 | 3, 4, 6, 8 |\n| 5 | 4, 4, 5, 8 |" } ] }, { "id": "23530", "image": "23530.png", "conversations": [ { "from": "human", "question": "In the first episode of a reality show, contestants had to spin two wheels of fate. Spinning the first wheel determined the remote location where contestants would reside for the duration of the season. Spinning the second wheel determined which \"bonus survival tool\" they would be allowed to bring, along with a few other necessary items. What is the probability that a randomly selected participant spun the first wheel and landed on desert and spun the second wheel and landed on matches? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the participant spun the first wheel and landed on desert\" and B be the event \"the participant spun the second wheel and landed on matches\".\nTo find the probability that a participant spun the first wheel and landed on desert and spun the second wheel and landed on matches, first identify the sample space and the event.\nThe outcomes in the sample space are the different participants. Each participant is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the participant spun the first wheel and landed on desert and spun the second wheel and landed on matches\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the participant spun the first wheel and landed on desert and spun the second wheel and landed on matches\", so look at the table to see how many participants spun the first wheel and landed on desert and spun the second wheel and landed on matches.\nThe number of participants who spun the first wheel and landed on desert and spun the second wheel and landed on matches is 5.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of participants.\n4 + 5 + 5 + 2 = 16\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{5}{16}\nThe probability that a participant spun the first wheel and landed on desert and spun the second wheel and landed on matches is \\frac{5}{16}.", "answer": "5/16", "table": "| | A tent | Matches |\n| --- | --- | --- |\n| Desert | 4 | 5 |\n| Rainforest | 5 | 2 |" } ] }, { "id": "23531", "image": "23531.png", "conversations": [ { "from": "human", "question": "The gym teacher wrote down how many tennis balls his students hit in half an hour. Which student hit the most tennis balls?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 143.\n\nNow find the corresponding name. Wendy corresponds to 143.", "answer": "Wendy", "table": "**Hitting tennis balls**\n\n| Name | Number of tennis balls |\n| --- | --- |\n| Lisa | 113 |\n| Wendy | 143 |\n| Colleen | 141 |\n| Darrell | 134 |" } ] }, { "id": "23533", "image": "23533.png", "conversations": [ { "from": "human", "question": "Taylor worked at a surf shop last summer. Here are Taylor's finances for the summer. What was Taylor's net income last summer?\n" }, { "from": "gpt", "solution": "Taylor's gross income was $3,568. His payroll taxes were $499.\nSubtract to find Taylor's net income.\n$3,568 - $499 = $3,069\nTaylor's net income last summer was $3,069.", "answer": "3,069", "table": "**Taylor's summer finances**\n\n| Column 1 | Column 2 |\n| --- | --- |\n| Earnings from job at the surf shop | $3,568 |\n| Income tax and other payroll taxes | $499 |" } ] }, { "id": "23542", "image": "23542.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $145, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $145, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $145 | 23,600 | 15,300 |\n| $345 | 23,100 | 15,500 |\n| $545 | 22,600 | 15,700 |\n| $745 | 22,100 | 15,900 |\n| $945 | 21,600 | 16,100 |" } ] }, { "id": "23549", "image": "23549.png", "conversations": [ { "from": "human", "question": "The members of the cycling club compared how many miles they biked last week. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n58, 47, 53, 46, 57, 59, 50\n\nFirst, arrange the numbers from least to greatest:\n\n46, 47, 50, 53, 57, 58, 59\n\nNow find the number in the middle.\n\n46, 47, 50, 53, 57, 58, 59\n\nThe number in the middle is 53.\n\nThe median is 53.", "answer": "53", "table": "**Biking last week**\n\n| Name | Miles |\n| --- | --- |\n| Clayton | 58 |\n| Lauren | 47 |\n| Roger | 53 |\n| Kyle | 46 |\n| Brianna | 57 |\n| Miles | 59 |\n| Harold | 50 |" } ] }, { "id": "23560", "image": "23560.png", "conversations": [ { "from": "human", "question": "Larry buys 1 pound of size 5 screws. What is the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the size 5 screws. Multiply the price per pound by the number of pounds.\n\n$8 × 1 = $8\n\nThe total cost is $8.", "answer": "8", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| size 2 screws | $5/pound |\n| size 4 screws | $5/pound |\n| size 6 screws | $6/pound |\n| size 1 screws | $8/pound |\n| size 5 screws | $8/pound |" } ] }, { "id": "23561", "image": "23561.png", "conversations": [ { "from": "human", "question": "The school district compared how many math teachers each high school has. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 4, 10, 6, 8\n\nFirst, find the greatest number. The greatest number is 10.\n\nNext, find the least number. The least number is 4.\n\nSubtract the least number from the greatest number:\n\n10 − 4 = 6\n\nThe range is 6.", "answer": "6", "table": "**Math teachers**\n\n| High school | Number of math teachers |\n| --- | --- |\n| River High | 7 |\n| Green High | 4 |\n| Hillview High | 10 |\n| Cedar High | 6 |\n| Lincoln High | 8 |" } ] }, { "id": "23568", "image": "23568.png", "conversations": [ { "from": "human", "question": "For a social studies project, Darnel counted the number of classrooms in each school in the city. How many schools have fewer than 65 classrooms?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 3, 4, and 5.\n\nIn the row with stem 6, count all the leaves less than 5.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plots above. 4 schools have fewer than 65 classrooms.", "answer": "4", "table": "**Classrooms per school**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 7, 7 |\n| 4 | 5, 9 |\n| 5 | |\n| 6 | 8, 9, 9, 9 |\n| 7 | 3, 5, 6 |\n| 8 | 8 |" } ] }, { "id": "23572", "image": "23572.png", "conversations": [ { "from": "human", "question": "A farm equipment company kept a record of the number of tractors made each month. In which month did the company make the most tractors?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 887.\n\nNow find the corresponding month. October corresponds to 887.", "answer": "October", "table": "**Tractors made**\n\n| Month | Number of tractors |\n| --- | --- |\n| October | 887 |\n| November | 848 |\n| December | 847 |\n| January | 878 |" } ] }, { "id": "23573", "image": "23573.png", "conversations": [ { "from": "human", "question": "A machine dispensed red gumdrops into bags of various sizes. How many bags had less than 50 red gumdrops?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 3 and 4.\n\nYou counted 13 leaves, which are blue in the stem-and-leaf plot above. 13 bags had less than 50 red gumdrops.", "answer": "13", "table": "**Red gumdrops per bag**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 0, 0, 2, 8, 8, 9 |\n| 4 | 0, 0, 1, 2, 4, 5, 6 |\n| 5 | 0, 1, 3, 8 |\n| 6 | 0, 2, 5, 5 |" } ] }, { "id": "23579", "image": "23579.png", "conversations": [ { "from": "human", "question": "Cedarburg will decide whether to extend its public pool's hours by looking at the number of times its residents visited the pool last month. How many people went swimming exactly twice last month?\n" }, { "from": "gpt", "solution": "Find the row for 2 times and read the frequency. The frequency is 2.\n\n2 people went swimming exactly twice last month.", "answer": "2", "table": "**Going swimming last month**\n\n| Number of times | Frequency |\n| --- | --- |\n| 1 | 15 |\n| 2 | 2 |\n| 3 | 4 |\n| 4 | 5 |" } ] }, { "id": "23590", "image": "23590.png", "conversations": [ { "from": "human", "question": "Judy has $0.09. Does she have enough to buy a green marble and a colorful pinwheel?\n" }, { "from": "gpt", "solution": "Add the price of a green marble and the price of a colorful pinwheel:\n\n$0.06 + $0.04 = $0.10\n\n$0.10 is more than $0.09. Judy does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| wooden block | $0.04 |\n| green marble | $0.06 |\n| colorful pinwheel | $0.04 |\n| red kazoo | $0.03 |\n| shapes stencil | $0.09 |" } ] }, { "id": "23595", "image": "23595.png", "conversations": [ { "from": "human", "question": "Professor Patel compiled the scores from the last quiz. Which score did the fewest students receive?\n" }, { "from": "gpt", "solution": "Look at the frequency column. Find the least frequency. The least frequency is 2, which is in the row for 5. The fewest students scored 5.", "answer": "5", "table": "**Scores on the last quiz**\n\n| Score | Frequency |\n| --- | --- |\n| 5 | 2 |\n| 6 | 15 |\n| 7 | 3 |\n| 8 | 10 |\n| 9 | 18 |\n| 10 | 4 |" } ] }, { "id": "23596", "image": "23596.png", "conversations": [ { "from": "human", "question": "Each box has 5 greeting cards. How many greeting cards are in 6 boxes?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 30 greeting cards in 6 boxes.", "answer": "30", "table": "| Number of boxes | Number of greeting cards |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | 20 |\n| 5 | 25 |\n| 6 | ? |" } ] }, { "id": "23598", "image": "23598.png", "conversations": [ { "from": "human", "question": "Troy works part-time delivering pizza. The frequency chart shows the types of pizzas he delivered last week. Troy delivered half of the pepperoni pizzas and all of the pineapple pizzas to a party on Friday night. How many pizzas did Troy deliver to that party?\n" }, { "from": "gpt", "solution": "Step 1: Find how many pepperoni pizzas Troy delivered to the party.\nTroy delivered 18 pepperoni pizzas last week. Half of those pizzas were for the party. Divide 18 by2.\n18÷2 = 9\nTroy delivered 9 pepperoni pizzas to the party.\nStep 2: Find how many pizzas Troy delivered to the party.\nTroy delivered 9 pepperoni pizzas and 6 pineapple pizzas to the party. Add.\n9 + 6 = 15\nTroy delivered 15 pizzas to the party.", "answer": "15", "table": "**Pizzas delivered last week**\n\n| Type of pizza | Frequency |\n| --- | --- |\n| cheese | 15 |\n| pepperoni | 18 |\n| veggie | 12 |\n| pineapple | 6 |" } ] }, { "id": "23603", "image": "23603.png", "conversations": [ { "from": "human", "question": "A researcher asked people how many letters they had written in the past year and recorded the results. How many people wrote fewer than 3 letters?\n" }, { "from": "gpt", "solution": "Find the rows for 0, 1, and 2 letters. Add the frequencies for these rows.\n\nAdd:\n\n6 + 14 + 0 = 20\n\n20 people wrote fewer than 3 letters.", "answer": "20", "table": "**Writing letters**\n\n| Letters written | Frequency |\n| --- | --- |\n| 0 | 6 |\n| 1 | 14 |\n| 2 | 0 |\n| 3 | 12 |\n| 4 | 10 |" } ] }, { "id": "23607", "image": "23607.png", "conversations": [ { "from": "human", "question": "A girl compared the ages of her cousins. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n4, 5, 4, 1, 3, 5, 6\n\nFirst, count how many numbers are in the group.\n\nThere are 7 numbers.\n\nNow add all the numbers together:\n\n4 + 5 + 4 + 1 + 3 + 5 + 6 = 28\n\nNow divide the sum by the number of numbers:\n\n28 ÷ 7 = 4\n\nThe mean is 4.", "answer": "4", "table": "**Ages of cousins**\n\n| Name | Age (years) |\n| --- | --- |\n| Abdul | 4 |\n| Matt | 5 |\n| Layla | 4 |\n| Brian | 1 |\n| Celine | 3 |\n| Eve | 5 |\n| Vivian | 6 |" } ] }, { "id": "23612", "image": "23612.png", "conversations": [ { "from": "human", "question": "A girl compared the ages of her cousins. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 2, 1, 2, 5, 5\n\nFirst, count how many numbers are in the group.\n\nThere are 6 numbers.\n\nNow add all the numbers together:\n\n9 + 2 + 1 + 2 + 5 + 5 = 24\n\nNow divide the sum by the number of numbers:\n\n24 ÷ 6 = 4\n\nThe mean is 4.", "answer": "4", "table": "**Ages of cousins**\n\n| Name | Age (years) |\n| --- | --- |\n| Maggie | 9 |\n| Duncan | 2 |\n| Susan | 1 |\n| Adele | 2 |\n| Lillian | 5 |\n| Jaden | 5 |" } ] }, { "id": "23615", "image": "23615.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{12 - 8}{4 - 3}\n = \\frac{4}{1}\n = 4\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{16 - 8}{5 - 3}\n = \\frac{8}{2}\n = 4\nThe two rates of change are the same.\nIf you checked the rate of change between rows 2 and 3, you would find that it is also 4.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 3 | 8 |\n| 4 | 12 |\n| 5 | 16 |" } ] }, { "id": "23616", "image": "23616.png", "conversations": [ { "from": "human", "question": "Samuel's P.E. class participated in a push-up competition, and Samuel wrote down how many push-ups each person could do. How many people did exactly 21 push-ups?\n" }, { "from": "gpt", "solution": "For the number 21, the stem is 2, and the leaf is 1. Find the row where the stem is 2. In that row, count all the leaves equal to 1.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 people did exactly21 push-ups.", "answer": "4", "table": "**Push-up competition (number of push-ups)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1, 2 |\n| 2 | 0, 1, 1, 1, 1 |\n| 3 | 5, 5, 9 |\n| 4 | 5, 8 |\n| 5 | 2, 6, 7, 8 |\n| 6 | 5, 7 |" } ] }, { "id": "23622", "image": "23622.png", "conversations": [ { "from": "human", "question": "For a psychology assignment, Reagan kept a sleep log for 5 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 6, 7, 9, 6\n\nFirst, arrange the numbers from least to greatest:\n\n6, 6, 6, 7, 9\n\nNow find the number in the middle.\n\n6, 6, 6, 7, 9\n\nThe number in the middle is 6.\n\nThe median is 6.", "answer": "6", "table": "**Hours slept**\n\n| Day | Hours |\n| --- | --- |\n| Saturday | 6 |\n| Sunday | 6 |\n| Monday | 7 |\n| Tuesday | 9 |\n| Wednesday | 6 |" } ] }, { "id": "23627", "image": "23627.png", "conversations": [ { "from": "human", "question": "Bryant, a journalism student, counted the number of pages in several major magazines. What is the smallest number of pages?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 1.\n\nNow find the lowest leaf in the first row. The lowest leaf is 2.\n\nThe smallest number of pages has a stem of 1 and a leaf of 2. Write the stem first, then the leaf: 12.\n\nThe smallest number of pages is 12 pages.", "answer": "12", "table": "**Pages per magazine**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 2, 6, 8 |\n| 2 | 7, 8 |\n| 3 | 6 |\n| 4 | 2 |\n| 5 | 1, 4, 7, 9 |\n| 6 | 9 |" } ] }, { "id": "23637", "image": "23637.png", "conversations": [ { "from": "human", "question": "Each year, the campers at Keith's summer camp try to set that summer's record for finishing the obstacle course as quickly as possible. According to the table, what was the rate of change between 2010 and 2011?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{30 minutes - 29 minutes}{2011 - 2010}\n = \\frac{30 minutes - 29 minutes}{1 year}\n = \\frac{1 minute}{1 year}\n = 1 minute per year\nThe rate of change between 2010 and 2011 was 1 minute per year.", "answer": "1", "table": "**Record obstacle course completion times**\n\n| Year | Record time (minutes) |\n| --- | --- |\n| 2007 | 29 |\n| 2008 | 27 |\n| 2009 | 24 |\n| 2010 | 29 |\n| 2011 | 30 |" } ] }, { "id": "23638", "image": "23638.png", "conversations": [ { "from": "human", "question": "Carla has $837. Does she have enough to buy a picnic table and a barbecue grill?\n" }, { "from": "gpt", "solution": "Add the price of a picnic table and the price of a barbecue grill:\n\n$150 + $730 = $880\n\n$880 is more than $837. Carla does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| fountain | $463 |\n| leaf blower | $169 |\n| picnic table | $150 |\n| swing set | $436 |\n| barbecue grill | $730 |\n| wooden bench | $216 |" } ] }, { "id": "23642", "image": "23642.png", "conversations": [ { "from": "human", "question": "For an economics project, Ernest determined the cost of ferry rides for bicycles and cars. Of the ferries shown, which charges the least for a car?\n" }, { "from": "gpt", "solution": "Look at the numbers in the Car column. Find the least number in this column.\n\nThe least number is $5.00, which is in the Southport-Fort Fisher row. The Southport-Fort Fisher ferry charges the least for a car.", "answer": "Southport-Fort Fisher", "table": "**Ferry fares**\n\n| Ferry | Car | Bicycle |\n| --- | --- | --- |\n| Seattle-Bremerton | $12 | $8 |\n| Fauntleroy-Vashon | $15 | $5 |\n| Ocracoke | $15 | $3 |\n| Southport-Fort Fisher | $5 | $2 |\n| Mukilteu-Clinton | $7 | $5 |" } ] }, { "id": "23654", "image": "23654.png", "conversations": [ { "from": "human", "question": "A candy dispenser put various numbers of orange candies into bags. How many bags had at least 20 orange candies but fewer than 50 orange candies?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 2, 3, and 4.\n\nYou counted 9 leaves, which are blue in the stem-and-leaf plot above. 9 bags had at least 20 orange candies but fewer than 50 orange candies.", "answer": "9", "table": "**Orange candies per bag**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1, 1, 1, 9 |\n| 2 | 1, 2, 3, 4 |\n| 3 | 6 |\n| 4 | 2, 4, 7, 8 |\n| 5 | |\n| 6 | 1, 4 |\n| 7 | 5, 6, 7 |" } ] }, { "id": "23672", "image": "23672.png", "conversations": [ { "from": "human", "question": "Look at this table. Is this relation a function?\n" }, { "from": "gpt", "solution": "Look at the x-values in the table.\n\nThe x-value 0 is paired with multiple y-values, so the relation is not a function.", "answer": "no", "table": "| x | y |\n| --- | --- |\n| 0 | 5 |\n| 7 | 18 |\n| 0 | 9 |\n| 19 | 7 |" } ] }, { "id": "23673", "image": "23673.png", "conversations": [ { "from": "human", "question": "An economics student recorded the amount of per-capita aid that the U.S. gave to various countries during the 1900s. How much aid did Algeria receive per capita in 1970?\n" }, { "from": "gpt", "solution": "First, find the row for Algeria. Then find the number in the 1970 column.\n\nThis number is $9.00. In 1970, Algeria received $9 in aid per capita.", "answer": "9", "table": "**Aid received per capita from the U.S.**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 1970 | 1980 |\n| Algeria | $9 | $9 |\n| Nepal | $2 | $11 |\n| Libya | $3 | $5 |\n| Pakistan | $7 | $14 |" } ] }, { "id": "23679", "image": "23679.png", "conversations": [ { "from": "human", "question": "Six friends went on a road trip and kept track of how long each of them spent driving. What fraction of the driving was done by Carlos? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many minutes Carlos spent driving.\n\n860\n\nFind how many minutes were spent driving in total.\n\n860 + 190 + 970 + 370 + 150 + 850 = 3,390\n\nDivide 860 by 3,390.\n\n\\frac{860}{3,390}\n\nReduce the fraction.\n\n\\frac{860}{3,390} → \\frac{86}{339}\n\n\\frac{86}{339} of minutes Carlos spent driving.", "answer": "86/339", "table": "**Road trip driving times**\n\n| Name | Minutes spent driving |\n| --- | --- |\n| Carlos | 860 |\n| Emilio | 190 |\n| Derek | 970 |\n| Tessa | 370 |\n| Lindsey | 150 |\n| Devin | 850 |" } ] }, { "id": "23680", "image": "23680.png", "conversations": [ { "from": "human", "question": "Look at this table. Is this relation a function?\n" }, { "from": "gpt", "solution": "Look at the x-values in the table.\n\nEach of the x-values is paired with only one y-value, so the relation is a function.", "answer": "yes", "table": "| x | y |\n| --- | --- |\n| 17 | 15 |\n| 7 | 16 |\n| 15 | 9 |" } ] }, { "id": "23685", "image": "23685.png", "conversations": [ { "from": "human", "question": "A toy store employee counted the number of toys in each bin in the sale section. How many bins had fewer than 90 toys?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 6, 7, and 8.\n\nYou counted 10 leaves, which are blue in the stem-and-leaf plot above. 10 bins had fewer than 90 toys.", "answer": "10", "table": "**Toys per bin**\n\n| Stem | Leaf |\n| --- | --- |\n| 6 | 0, 1, 3, 4, 6 |\n| 7 | 2, 5, 8 |\n| 8 | 5, 7 |\n| 9 | 0 |" } ] }, { "id": "23686", "image": "23686.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does the Thunder versus Eagles game end?\n" }, { "from": "gpt", "solution": "Find the Thunder versus Eagles game on the schedule. Find the end time for the Thunder versus Eagles game.\n\nThunder versus Eagles: 12:55 P. M.", "answer": "12:55 P.M.", "table": "**Soccer tournament schedule**\n\n| Game | Begin | End |\n| --- | --- | --- |\n| Dolphins versus Bears | 9:05 A.M. | 10:35 A.M. |\n| Sharks versus Storm | 9:25 A.M. | 10:55 A.M. |\n| Lightning versus Coyotes | 10:00 A.M. | 11:30 A.M. |\n| Thunder versus Eagles | 11:25 A.M. | 12:55 P.M. |\n| Lions versus Blue Jays | 11:55 A.M. | 1:25 P.M. |\n| Waves versus Alligators | 12:25 P.M. | 1:55 P.M. |\n| Hawks versus Jaguars | 1:15 P.M. | 2:45 P.M. |" } ] }, { "id": "23715", "image": "23715.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{11 - 20}{7 - 6}\n = \\frac{-9}{1}\n = -9\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{2 - 11}{8 - 7}\n = \\frac{-9}{1}\n = -9\nThe two rates of change are the same.\n9.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 6 | 20 |\n| 7 | 11 |\n| 8 | 2 |" } ] }, { "id": "23719", "image": "23719.png", "conversations": [ { "from": "human", "question": "Ronald has $134.00. Does he have enough to buy a calculator and a cell phone?\n" }, { "from": "gpt", "solution": "Add the price of a calculator and the price of a cell phone:\n\n$88.00 + $50.00 = $138.00\n\n$138.00 is more than $134.00. Ronald does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| blender | $17.00 |\n| television | $85.00 |\n| calculator | $88.00 |\n| computer printer | $78.00 |\n| CD | $17.00 |\n| cell phone | $50.00 |" } ] }, { "id": "23725", "image": "23725.png", "conversations": [ { "from": "human", "question": "Some friends discussed the sizes of their coin collections. How many more coins does Zack have than Derek?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nZack: 754\nDerek: 268\n\nNow subtract: 754 - 268 = 486.\n\nZack has 486 more coins.", "answer": "486", "table": "**Coin collections**\n\n| Name | Number of coins |\n| --- | --- |\n| Audrey | 136 |\n| Zack | 754 |\n| Derek | 268 |\n| Candice | 417 |" } ] }, { "id": "23728", "image": "23728.png", "conversations": [ { "from": "human", "question": "Sadie went on a camping trip and logged the number of miles she hiked each day. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 14, 20, 17, 16, 10\n\nFirst, find the greatest number. The greatest number is 20.\n\nNext, find the least number. The least number is 9.\n\nSubtract the least number from the greatest number:\n\n20 − 9 = 11\n\nThe range is 11.", "answer": "11", "table": "**Miles hiked**\n\n| Day | Number of miles |\n| --- | --- |\n| Friday | 9 |\n| Saturday | 14 |\n| Sunday | 20 |\n| Monday | 17 |\n| Tuesday | 16 |\n| Wednesday | 10 |" } ] }, { "id": "23729", "image": "23729.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $390, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $390, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $190 | 13,900 | 5,700 |\n| $390 | 11,400 | 9,400 |\n| $590 | 8,900 | 13,100 |\n| $790 | 6,400 | 16,800 |\n| $990 | 3,900 | 20,500 |" } ] }, { "id": "23733", "image": "23733.png", "conversations": [ { "from": "human", "question": "A farmer counted the number of apples on each tree in her orchard. How many trees have at least 38 apples but fewer than 63 apples?\n" }, { "from": "gpt", "solution": "Find the row with stem 3. Count all the leaves greater than or equal to 8.\n\nCount all the leaves in the rows with stems 4 and 5.\n\nIn the row with stem 6, count all the leaves less than 3.\n\nYou counted 8 leaves, which are blue in the stem-and-leaf plots above. 8 trees have at least 38 apples but fewer than 63 apples.", "answer": "8", "table": "**Apples per tree**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 2, 4 |\n| 4 | 1, 2, 4, 5, 8 |\n| 5 | 5, 6, 8 |\n| 6 | 5, 6, 7 |\n| 7 | 0, 7, 8, 9 |\n| 8 | 0, 3, 3, 3, 4, 8, 8, 9 |" } ] }, { "id": "23735", "image": "23735.png", "conversations": [ { "from": "human", "question": "Carmen looked at her calendar to figure out how much time she spent babysitting each month. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n10, 3, 10, 4, 4, 4, 4, 10\n\nFirst, arrange the numbers from least to greatest:\n\n3, 4, 4, 4, 4, 10, 10, 10\n\nNow count how many times each number appears.\n\n3 appears 1 time.\n4 appears 4 times.\n10 appears 3 times.\n\nThe number that appears most often is 4.\n\nThe mode is 4.", "answer": "4", "table": "**Hours of babysitting**\n\n| Month | Hours |\n| --- | --- |\n| May | 10 |\n| June | 3 |\n| July | 10 |\n| August | 4 |\n| September | 4 |\n| October | 4 |\n| November | 4 |\n| December | 10 |" } ] }, { "id": "23739", "image": "23739.png", "conversations": [ { "from": "human", "question": "Meg's classmates revealed how many science articles they read. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 10, 9, 8, 6, 10, 9, 5\n\nFirst, find the greatest number. The greatest number is 10.\n\nNext, find the least number. The least number is 5.\n\nSubtract the least number from the greatest number:\n\n10 − 5 = 5\n\nThe range is 5.", "answer": "5", "table": "**Science articles read**\n\n| Name | Number of science articles |\n| --- | --- |\n| Meg | 9 |\n| Becky | 10 |\n| Whitney | 9 |\n| Stanley | 8 |\n| Aubrey | 6 |\n| Olivia | 10 |\n| Isaac | 9 |\n| Destiny | 5 |" } ] }, { "id": "23741", "image": "23741.png", "conversations": [ { "from": "human", "question": "Each bag has 5 yellow buttons. How many yellow buttons are in 6 bags?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 30 yellow buttons in 6 bags.", "answer": "30", "table": "| Number of bags | Number of yellow buttons |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | 20 |\n| 5 | 25 |\n| 6 | ? |" } ] }, { "id": "23748", "image": "23748.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{10 - 14}{3 - 2}\n = \\frac{-4}{1}\n = -4\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{5 - 14}{4 - 2}\n = \\frac{-9}{2}\n = -4\\frac{1}{2}\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 2 | 14 |\n| 3 | 10 |\n| 4 | 5 |" } ] }, { "id": "23749", "image": "23749.png", "conversations": [ { "from": "human", "question": "The architecture student counted the number of bricks in each building in her neighborhood. How many buildings have exactly 90 bricks?\n" }, { "from": "gpt", "solution": "For the number 90, the stem is 9, and the leaf is 0. Find the row where the stem is 9. In that row, count all the leaves equal to 0.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 buildings have exactly 90 bricks.", "answer": "3", "table": "**Bricks per building**\n\n| Stem | Leaf |\n| --- | --- |\n| 5 | 2, 4, 5 |\n| 6 | 5 |\n| 7 | 3, 4 |\n| 8 | |\n| 9 | 0, 0, 0 |" } ] }, { "id": "23752", "image": "23752.png", "conversations": [ { "from": "human", "question": "Jordan, a huge fan, tracked the scores on his favorite radio quiz show. How many people are there in all?\n" }, { "from": "gpt", "solution": "Add the frequencies for each row.\n\nAdd:\n\n0 + 5 + 9 + 14 + 11 + 1 = 40\n\nThere are 40 people in all.", "answer": "40", "table": "**Scores on a radio quiz show**\n\n| Score | Frequency |\n| --- | --- |\n| 0 | 0 |\n| 1 | 5 |\n| 2 | 9 |\n| 3 | 14 |\n| 4 | 11 |\n| 5 | 1 |" } ] }, { "id": "23754", "image": "23754.png", "conversations": [ { "from": "human", "question": "Jayla is looking at the price of new cell phones online. Her favorite company, OrangeTech, has a special this weekend. Jayla can add an upgrade to a phone for an additional cost, or she can buy a used phone to get a discount. The change in price for each option is shown in the table. Which option results in a greater change in price?\n" }, { "from": "gpt", "solution": "To find the option that results in a greater change in price, use absolute value. Absolute value tells you how much the price changes.\nAdd an upgrade: |$60| = $60\nBuy a used phone: |-$75| = $75\nBuying a used phone results in a greater change in price. It reduces the price by $75.", "answer": "buying a used phone", "table": "| Option | Change in phone price |\n| --- | --- |\n| Add an upgrade | $60 |\n| Buy a used phone | -$75 |" } ] }, { "id": "23759", "image": "23759.png", "conversations": [ { "from": "human", "question": "A newspaper researched how many grocery stores there are in each town. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n5, 7, 2, 5, 5, 6, 5\n\nFirst, arrange the numbers from least to greatest:\n\n2, 5, 5, 5, 5, 6, 7\n\nNow find the number in the middle.\n\n2, 5, 5, 5, 5, 6, 7\n\nThe number in the middle is 5.\n\nThe median is 5.", "answer": "5", "table": "**Grocery stores in each town**\n\n| Town | Number of stores |\n| --- | --- |\n| Marion | 5 |\n| Ashland | 7 |\n| Greenwood | 2 |\n| Springfield | 5 |\n| Watertown | 5 |\n| Richmond | 6 |\n| Chesterton | 5 |" } ] }, { "id": "23771", "image": "23771.png", "conversations": [ { "from": "human", "question": "Some students compared how many clubs they belong to. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 4, 1, 7, 4\n\nFirst, find the greatest number. The greatest number is 7.\n\nNext, find the least number. The least number is 1.\n\nSubtract the least number from the greatest number:\n\n7 − 1 = 6\n\nThe range is 6.", "answer": "6", "table": "**Clubs**\n\n| Name | Number of clubs |\n| --- | --- |\n| Diane | 6 |\n| Emmett | 4 |\n| Charlotte | 1 |\n| Jenna | 7 |\n| Toby | 4 |" } ] }, { "id": "23774", "image": "23774.png", "conversations": [ { "from": "human", "question": "While doing a project for P. E. class, Amy researched the number of athletes competing in an international sporting event. How many countries have exactly 81 athletes?\n" }, { "from": "gpt", "solution": "For the number 81, the stem is 8, and the leaf is 1. Find the row where the stem is 8. In that row, count all the leaves equal to 1.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 countries have exactly 81 athletes.", "answer": "2", "table": "**Athletes per country**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1, 9 |\n| 2 | |\n| 3 | |\n| 4 | 5 |\n| 5 | |\n| 6 | 7 |\n| 7 | |\n| 8 | 1, 1 |" } ] }, { "id": "23778", "image": "23778.png", "conversations": [ { "from": "human", "question": "A furniture store kept a record of how many couches it sold each day. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n5, 4, 10, 9, 7\n\nFirst, arrange the numbers from least to greatest:\n\n4, 5, 7, 9, 10\n\nNow find the number in the middle.\n\n4, 5, 7, 9, 10\n\nThe number in the middle is 7.\n\nThe median is 7.", "answer": "7", "table": "**Couches sold**\n\n| Day | Number of couches |\n| --- | --- |\n| Friday | 5 |\n| Saturday | 4 |\n| Sunday | 10 |\n| Monday | 9 |\n| Tuesday | 7 |" } ] }, { "id": "23780", "image": "23780.png", "conversations": [ { "from": "human", "question": "How much money does Gordon need to buy a deer postcard and a roll of packaging tape?\n" }, { "from": "gpt", "solution": "Add the price of a deer postcard and the price of a roll of packaging tape:\n\n$0.61 + $0.29 = $0.90\n\nGordon needs $0.90.", "answer": "0.90", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| long white envelope | $0.38 |\n| lighthouse postcard | $0.42 |\n| tulip stamp | $0.14 |\n| robot stamp | $0.42 |\n| deer postcard | $0.61 |\n| roll of packaging tape | $0.29 |" } ] }, { "id": "23788", "image": "23788.png", "conversations": [ { "from": "human", "question": "A machine at the candy factory dispensed different numbers of lemon-flavored candies into various bags. How many bags had at least 30 lemon-flavored candies but fewer than 80 lemon-flavored candies?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 3, 4, 5, 6, and 7.\n\nYou counted 7 leaves, which are blue in the stem-and-leaf plot above. 7 bags had at least 30 lemon-flavored candies but fewer than 80 lemon-flavored candies.", "answer": "7", "table": "**Lemon-flavored candies per bag**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 2 |\n| 4 | 1 |\n| 5 | 1 |\n| 6 | 0, 4 |\n| 7 | 2, 9 |" } ] }, { "id": "23795", "image": "23795.png", "conversations": [ { "from": "human", "question": "A gymnast jotted down the number of cartwheels she did each day. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n11, 14, 10, 14, 11, 11, 10\n\nFirst, arrange the numbers from least to greatest:\n\n10, 10, 11, 11, 11, 14, 14\n\nNow count how many times each number appears.\n\n10 appears 2 times.\n11 appears 3 times.\n14 appears 2 times.\n\nThe number that appears most often is 11.\n\nThe mode is 11.", "answer": "11", "table": "**Doing cartwheels**\n\n| Day | Number of cartwheels |\n| --- | --- |\n| Sunday | 11 |\n| Monday | 14 |\n| Tuesday | 10 |\n| Wednesday | 14 |\n| Thursday | 11 |\n| Friday | 11 |\n| Saturday | 10 |" } ] }, { "id": "23801", "image": "23801.png", "conversations": [ { "from": "human", "question": "Sarah looked at her calendar to see how many hours she had worked in the past 5 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n2, 0, 10, 8, 6\n\nFirst, arrange the numbers from least to greatest:\n\n0, 2, 6, 8, 10\n\nNow find the number in the middle.\n\n0, 2, 6, 8, 10\n\nThe number in the middle is 6.\n\nThe median is 6.", "answer": "6", "table": "**Hours worked**\n\n| Day | Hours |\n| --- | --- |\n| Saturday | 2 |\n| Sunday | 0 |\n| Monday | 10 |\n| Tuesday | 8 |\n| Wednesday | 6 |" } ] }, { "id": "23822", "image": "23822.png", "conversations": [ { "from": "human", "question": "Spencer's Candies has been studying how much chocolate people have been eating in different countries. How much chocolate was consumed per capita in Austria in 2005?\n" }, { "from": "gpt", "solution": "First, find the row for Austria. Then find the number in the 2005 column.\n\nThis number is 9. In 2005, people in Austria consumed 9 kilograms of chocolate per capita.", "answer": "9", "table": "**Chocolate consumption per capita (kg)**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 2002 | 2005 |\n| Poland | 3 | 4 |\n| Australia | 4 | 5 |\n| Austria | 8 | 9 |\n| Switzerland | 11 | 10 |" } ] }, { "id": "23824", "image": "23824.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $400, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $400, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $220 | 20,100 | 3,100 |\n| $280 | 18,800 | 6,200 |\n| $340 | 17,500 | 9,300 |\n| $400 | 16,200 | 12,400 |\n| $460 | 14,900 | 15,500 |" } ] }, { "id": "23834", "image": "23834.png", "conversations": [ { "from": "human", "question": "How much money does Grayson need to buy a yellow tiger's eye and a piece of copper?\n" }, { "from": "gpt", "solution": "Add the price of a yellow tiger's eye and the price of a piece of copper:\n\n$0.08 + $0.07 = $0.15\n\nGrayson needs $0.15.", "answer": "0.15", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| yellow tiger's eye | $0.08 |\n| piece of polished granite | $0.07 |\n| piece of copper | $0.07 |\n| smooth piece of sea glass | $0.05 |" } ] }, { "id": "23842", "image": "23842.png", "conversations": [ { "from": "human", "question": "Daniel has $64. Does he have enough to buy a pair of boots and a gray sweatshirt?\n" }, { "from": "gpt", "solution": "Add the price of a pair of boots and the price of a gray sweatshirt:\n\n$42 + $19 = $61\n\n$61 is less than $64. Daniel does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pair of jeans | $37 |\n| pair of sweat pants | $14 |\n| denim jacket | $25 |\n| gray sweatshirt | $19 |\n| pair of boots | $42 |" } ] }, { "id": "23844", "image": "23844.png", "conversations": [ { "from": "human", "question": "The city recorded how many fire hydrants there are on each street. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n10, 8, 9, 10, 10, 9, 10, 9\n\nFirst, arrange the numbers from least to greatest:\n\n8, 9, 9, 9, 10, 10, 10, 10\n\nNow count how many times each number appears.\n\n8 appears 1 time.\n9 appears 3 times.\n10 appears 4 times.\n\nThe number that appears most often is 10.\n\nThe mode is 10.", "answer": "10", "table": "**Fire hydrants**\n\n| Street | Number of hydrants |\n| --- | --- |\n| Rose Street | 10 |\n| Pine Street | 8 |\n| Maple Street | 9 |\n| Fir Street | 10 |\n| Lemon Street | 10 |\n| Cherry Street | 9 |\n| Elm Street | 10 |\n| Aspen Street | 9 |" } ] }, { "id": "23846", "image": "23846.png", "conversations": [ { "from": "human", "question": "A car dealership tracked the number of cars sold each month. In which month did the dealership sell the fewest cars?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 20.\n\nNow find the corresponding month. July corresponds to 20.", "answer": "July", "table": "**Cars sold**\n\n| Month | Number of cars |\n| --- | --- |\n| April | 21 |\n| May | 26 |\n| June | 25 |\n| July | 20 |" } ] }, { "id": "23847", "image": "23847.png", "conversations": [ { "from": "human", "question": "Each year, the campers at Jacob's summer camp try to set that summer's record for finishing the obstacle course as quickly as possible. According to the table, what was the rate of change between 2014 and 2015?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{22 minutes - 27 minutes}{2015 - 2014}\n = \\frac{22 minutes - 27 minutes}{1 year}\n = \\frac{-5 minutes}{1 year}\n = -5 minutes per year\nThe rate of change between 2014 and 2015 was - 5 minutes per year.", "answer": "-5", "table": "**Record obstacle course completion times**\n\n| Year | Record time (minutes) |\n| --- | --- |\n| 2011 | 28 |\n| 2012 | 27 |\n| 2013 | 21 |\n| 2014 | 27 |\n| 2015 | 22 |" } ] }, { "id": "23848", "image": "23848.png", "conversations": [ { "from": "human", "question": "Deb wants to buy 4 pounds of nuts. How much will she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the nuts. Multiply the price per pound by the number of pounds.\n\n$7 × 4 = $28\n\nShe will spend $28.", "answer": "28", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| gummy bears | $4/lb |\n| trail mix | $5/lb |\n| nuts | $7/lb |\n| granola bars | $4/lb |\n| dried berries | $7/lb |\n| cookie bites | $3/lb |" } ] }, { "id": "23857", "image": "23857.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{12 - 7}{10 - 9}\n = \\frac{5}{1}\n = 5\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{13 - 7}{11 - 9}\n = \\frac{6}{2}\n = 3\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 9 | 7 |\n| 10 | 12 |\n| 11 | 13 |" } ] }, { "id": "23860", "image": "23860.png", "conversations": [ { "from": "human", "question": "Colleen has $0.02. Does she have enough to buy a gumball and a lemon drop?\n" }, { "from": "gpt", "solution": "Add the price of a gumball and the price of a lemon drop:\n\n$0.01 + $0.03 = $0.04\n\n$0.04 is more than $0.02. Colleen does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| gumball | $0.01 |\n| peppermint candy | $0.07 |\n| lemon drop | $0.03 |\n| gummy bear | $0.04 |\n| sour apple candy | $0.08 |" } ] }, { "id": "23868", "image": "23868.png", "conversations": [ { "from": "human", "question": "How much money does Bert need to buy 6 shiny gold shells and 7 orange cone shells?\n" }, { "from": "gpt", "solution": "Find the cost of 6 shiny gold shells.\n\n$0.74 × 6 = $4.44\n\nFind the cost of 7 orange cone shells.\n\n$0.83 × 7 = $5.81\n\nNow find the total cost.\n\n$4.44 + $5.81 = $10.25\n\nBert needs $10.25.", "answer": "10.25", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| shiny gold shell | $0.74 |\n| beautiful yellow shell | $0.54 |\n| pink and white striped shell | $0.46 |\n| orange cone shell | $0.83 |\n| polished silver top shell | $0.83 |\n| oyster shell | $0.82 |" } ] }, { "id": "23870", "image": "23870.png", "conversations": [ { "from": "human", "question": "A toy store employee counted the number of toys in each bin in the sale section. How many bins had at least 30 toys but fewer than 50 toys?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 3 and 4.\n\nYou counted 13 leaves, which are blue in the stem-and-leaf plot above. 13 bins had at least 30 toys but fewer than 50 toys.", "answer": "13", "table": "**Toys per bin**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 1, 1, 3, 4, 4, 6 |\n| 4 | 0, 0, 1, 1, 3, 6, 6 |\n| 5 | 0, 0, 1, 1, 1, 8, 8 |\n| 6 | 1, 1, 3, 6, 7 |" } ] }, { "id": "23883", "image": "23883.png", "conversations": [ { "from": "human", "question": "Levi wants to buy 2 pounds of rice cakes. How much will he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the rice cakes. Multiply the price per pound by the number of pounds.\n$6 × 2 = $12\nHe will spend $12.", "answer": "12", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| cheese puffs | $2/pound |\n| flour tortilla chips | $1/pound |\n| rice cakes | $6/pound |\n| salted popcorn | $6/pound |" } ] }, { "id": "23887", "image": "23887.png", "conversations": [ { "from": "human", "question": "A Girl Scout troop recorded how many boxes of cookies they sold each day for a week. According to the table, what was the rate of change between Thursday and Friday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{42 boxes - 28 boxes}{1 day}\n = \\frac{14 boxes}{1 day}\n = 14 boxes per day\nThe rate of change between Thursday and Friday was 14 boxes per day.", "answer": "14", "table": "**Boxes of Girl Scout cookies sold**\n\n| Day | Boxes of cookies |\n| --- | --- |\n| Tuesday | 40 |\n| Wednesday | 23 |\n| Thursday | 28 |\n| Friday | 42 |\n| Saturday | 25 |" } ] }, { "id": "23888", "image": "23888.png", "conversations": [ { "from": "human", "question": "Brooke has $0.12. Does she have enough to buy a piece of green slate and a smooth piece of marble?\n" }, { "from": "gpt", "solution": "Add the price of a piece of green slate and the price of a smooth piece of marble:\n\n$0.07 + $0.06 = $0.13\n\n$0.13 is more than $0.12. Brooke does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| smooth piece of marble | $0.06 |\n| piece of fool's gold | $0.03 |\n| piece of green slate | $0.07 |\n| piece of smoky quartz | $0.09 |\n| quartz crystal | $0.08 |" } ] }, { "id": "23896", "image": "23896.png", "conversations": [ { "from": "human", "question": "Some friends discussed the sizes of their coin collections. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n45, 46, 44, 42, 45\n\nFirst, find the greatest number. The greatest number is 46.\n\nNext, find the least number. The least number is 42.\n\nSubtract the least number from the greatest number:\n\n46 − 42 = 4\n\nThe range is 4.", "answer": "4", "table": "**Coin collections**\n\n| Name | Number of coins |\n| --- | --- |\n| Tara | 45 |\n| Emily | 46 |\n| Joel | 44 |\n| Nicholas | 42 |\n| Finn | 45 |" } ] }, { "id": "23899", "image": "23899.png", "conversations": [ { "from": "human", "question": "Will looked at his e-mail outbox to see how many e-mails he sent each day. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n2, 4, 10, 7, 5, 6, 10\n\nFirst, find the greatest number. The greatest number is 10.\n\nNext, find the least number. The least number is 2.\n\nSubtract the least number from the greatest number:\n\n10 − 2 = 8\n\nThe range is 8.", "answer": "8", "table": "**E-mails sent**\n\n| Day | Number of e-mails |\n| --- | --- |\n| Friday | 2 |\n| Saturday | 4 |\n| Sunday | 10 |\n| Monday | 7 |\n| Tuesday | 5 |\n| Wednesday | 6 |\n| Thursday | 10 |" } ] }, { "id": "23904", "image": "23904.png", "conversations": [ { "from": "human", "question": "Scott has $6. Does he have enough to buy a pair of black socks and a white polo shirt?\n" }, { "from": "gpt", "solution": "Add the price of a pair of black socks and the price of a white polo shirt:\n\n$3 + $5 = $8\n\n$8 is more than $6. Scott does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| white polo shirt | $5 |\n| striped shirt | $5 |\n| striped scarf | $8 |\n| blue sweater | $9 |\n| pair of black socks | $3 |" } ] }, { "id": "23907", "image": "23907.png", "conversations": [ { "from": "human", "question": "What is the total cost for 2 kilograms of grapefruits and 2 kilograms of pineapples?\n" }, { "from": "gpt", "solution": "Find the cost of the grapefruits. Multiply:\n\n$0.72 × 2 = $1.44\n\nFind the cost of the pineapples. Multiply:\n\n$1.62 × 2 = $3.24\n\nNow find the total cost by adding:\n\n$1.44 + $3.24 = $4.68\n\nThe total cost is $4.68.", "answer": "4.68", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| lemons | $0.47 per kg |\n| limes | $0.57 per kg |\n| grapefruits | $0.72 per kg |\n| tangerines | $0.83 per kg |\n| pineapples | $1.62 per kg |" } ] }, { "id": "23909", "image": "23909.png", "conversations": [ { "from": "human", "question": "Look at Pedro's pay stub. Pedro lives in a state without state income tax. How much did Pedro make after taxes?\n" }, { "from": "gpt", "solution": "Find how much Pedro made after taxes. Find the total payroll tax, then subtract it from the total earnings.\nTo find the total payroll tax, add the federal income tax and the other taxes.\nThe total earnings are $2,138.00. The total payroll tax is $461.46. Subtract to find the difference.\n$2,138.00 - $461.46 = $1,676.54\nPedro made $1,676.54 after taxes.", "answer": "1,676.54", "table": "| Employee | Pay period | |\n| --- | --- | --- |\n| Pedro Rojas | January 1-15 | |\n| Total earnings | | $2,138.00 |\n| Federal income tax | $297.90 | |\n| Other taxes | $163.56 | |\n| Total taxes | | ? |\n| Pay after taxes | | ? |" } ] }, { "id": "23923", "image": "23923.png", "conversations": [ { "from": "human", "question": "How much money does Damon need to buy a grilled steak and a mushroom pizza?\n" }, { "from": "gpt", "solution": "Add the price of a grilled steak and the price of a mushroom pizza:\n\n$13 + $11 = $24\n\nDamon needs $24.", "answer": "24", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pasta with white sauce | $15 |\n| mushroom pizza | $11 |\n| grilled steak | $13 |\n| pasta with meat sauce | $12 |" } ] }, { "id": "23931", "image": "23931.png", "conversations": [ { "from": "human", "question": "Each shelf has 10 cups. How many cups are on 5 shelves?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 50 cups on 5 shelves.", "answer": "50", "table": "| Number of shelves | Number of cups |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | 40 |\n| 5 | ? |" } ] }, { "id": "23941", "image": "23941.png", "conversations": [ { "from": "human", "question": "The employee at the department store counted the number of ties on each tie rack. How many racks have exactly 33 ties?\n" }, { "from": "gpt", "solution": "For the number 33, the stem is 3, and the leaf is 3. Find the row where the stem is 3. In that row, count all the leaves equal to 3.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 racks have exactly 33 ties.", "answer": "3", "table": "**Ties per rack**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 7, 7 |\n| 2 | |\n| 3 | 1, 2, 3, 3, 3 |\n| 4 | 3 |\n| 5 | 2, 9 |\n| 6 | 3, 3 |\n| 7 | 5, 5, 9 |" } ] }, { "id": "23950", "image": "23950.png", "conversations": [ { "from": "human", "question": "Wanda counted the number of desks in each classroom at her school. How many classrooms have at least 21 desks but fewer than 34 desks?\n" }, { "from": "gpt", "solution": "Find the row with stem 2. Count all the leaves greater than or equal to 1.\n\nIn the row with stem 3, count all the leaves less than 4.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plots above. 4 classrooms have at least 21 desks but fewer than 34 desks.", "answer": "4", "table": "**Desks per classroom**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1, 1, 3, 5, 7, 7, 8 |\n| 2 | 3, 8, 9 |\n| 3 | 1, 5, 7 |\n| 4 | 0, 0, 0, 2, 5, 8 |" } ] }, { "id": "23953", "image": "23953.png", "conversations": [ { "from": "human", "question": "How much more does an ice cream truck cost than a funnel cake stand?\n" }, { "from": "gpt", "solution": "Subtract the price of a funnel cake stand from the price of an ice cream truck.\n\n$7,785 - $7,631 = $154\n\nAn ice cream truck costs $154 more than a funnel cake stand.", "answer": "154", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| ice cream truck | $7,785 |\n| shaved ice cart | $7,131 |\n| hot dog stand | $6,141 |\n| funnel cake stand | $7,631 |" } ] }, { "id": "23955", "image": "23955.png", "conversations": [ { "from": "human", "question": "How much money does Manny need to buy 8 soccer balls and 7 swimsuits?\n" }, { "from": "gpt", "solution": "Find the cost of 8 soccer balls.\n\n$12.30 × 8 = $98.40\n\nFind the cost of 7 swimsuits.\n\n$22.25 × 7 = $155.75\n\nNow find the total cost.\n\n$98.40 + $155.75 = $254.15\n\nManny needs $254.15.", "answer": "254.15", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| soccer ball | $12.30 |\n| swimsuit | $22.25 |\n| badminton set | $12.82 |\n| basketball jersey | $30.58 |" } ] }, { "id": "23962", "image": "23962.png", "conversations": [ { "from": "human", "question": "Some students compared how many blocks they live from school. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 3, 2, 3, 2, 3\n\nFirst, arrange the numbers from least to greatest:\n\n2, 2, 3, 3, 3, 7\n\nNow count how many times each number appears.\n\n2 appears 2 times.\n3 appears 3 times.\n7 appears 1 time.\n\nThe number that appears most often is 3.\n\nThe mode is 3.", "answer": "3", "table": "**Blocks from school**\n\n| Name | Number of blocks |\n| --- | --- |\n| Reid | 7 |\n| Heather | 3 |\n| Dale | 2 |\n| Jayla | 3 |\n| Eduardo | 2 |\n| Barbara | 3 |" } ] }, { "id": "23964", "image": "23964.png", "conversations": [ { "from": "human", "question": "The Winchester Chamber of Commerce researched the number of employees working at local companies. How many companies have at least 23 employees but less than 82 employees?\n" }, { "from": "gpt", "solution": "Find the row with stem 2. Count all the leaves greater than or equal to 3.\n\nCount all the leaves in the rows with stems 3, 4, 5, 6, and 7.\n\nIn the row with stem 8, count all the leaves less than 2.\n\nYou counted 10 leaves, which are blue in the stem-and-leaf plots above. 10 companies have at least 23 employees but less than 82 employees.", "answer": "10", "table": "**Company sizes (number of employees)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 5 |\n| 2 | 0, 1, 4, 8 |\n| 3 | 1, 4 |\n| 4 | 1, 3, 5, 8 |\n| 5 | 1 |\n| 6 | 7 |\n| 7 | |\n| 8 | 3, 4, 9 |\n| 9 | 0 |" } ] }, { "id": "23965", "image": "23965.png", "conversations": [ { "from": "human", "question": "How much money does Helen need to buy 6 cookbooks and 3 sets of dishes?\n" }, { "from": "gpt", "solution": "Find the cost of 6 cookbooks.\n\n$20 × 6 = $120\n\nFind the cost of 3 sets of dishes.\n\n$99 × 3 = $297\n\nNow find the total cost.\n\n$120 + $297 = $417\n\nHelen needs $417.", "answer": "417", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| frying pan | $21 |\n| set of dishes | $99 |\n| set of forks | $14 |\n| baking dish | $17 |\n| cookbook | $20 |" } ] }, { "id": "23967", "image": "23967.png", "conversations": [ { "from": "human", "question": "The town council reported on how many stop signs there are on each street. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n20, 19, 18, 19, 19, 18, 20\n\nFirst, arrange the numbers from least to greatest:\n\n18, 18, 19, 19, 19, 20, 20\n\nNow count how many times each number appears.\n\n18 appears 2 times.\n19 appears 3 times.\n20 appears 2 times.\n\nThe number that appears most often is 19.\n\nThe mode is 19.", "answer": "19", "table": "**Stop signs**\n\n| Street | Number of stop signs |\n| --- | --- |\n| Marshall Street | 20 |\n| Peabody Street | 19 |\n| Watson Street | 18 |\n| Irving Street | 19 |\n| Spring Street | 19 |\n| Mason Street | 18 |\n| Smith Street | 20 |" } ] }, { "id": "23975", "image": "23975.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does Orchestra end?\n" }, { "from": "gpt", "solution": "Find Orchestra on the schedule. Find the end time for Orchestra.\n\nOrchestra: 11:50 A. M.", "answer": "11:50 A.M.", "table": "**Music teacher's schedule**\n\n| Class | Begin | End |\n| --- | --- | --- |\n| Fourth Grade Choir | 9:30 A.M. | 11:00 A.M. |\n| Orchestra | 11:15 A.M. | 11:50 A.M. |\n| Beginning Band | 12:05 P.M. | 1:40 P.M. |\n| Introduction to Jazz | 1:50 P.M. | 2:35 P.M. |\n| Fifth Grade Choir | 2:45 P.M. | 3:25 P.M. |" } ] }, { "id": "23976", "image": "23976.png", "conversations": [ { "from": "human", "question": "How much money does Brenda need to buy 6 European vacation packages and 4 Hawaiian vacation packages?\n" }, { "from": "gpt", "solution": "Find the cost of 6 European vacation packages.\n\n$931.00 × 6 = $5,586.00\n\nFind the cost of 4 Hawaiian vacation packages.\n\n$593.00 × 4 = $2,372.00\n\nNow find the total cost.\n\n$5,586.00 + $2,372.00 = $7,958.00\n\nBrenda needs $7,958.00.", "answer": "7,958", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| Caribbean vacation package | $519.00 |\n| European vacation package | $931.00 |\n| Australian vacation package | $547.00 |\n| Jamaican vacation package | $831.00 |\n| Hawaiian vacation package | $593.00 |" } ] }, { "id": "23977", "image": "23977.png", "conversations": [ { "from": "human", "question": "A city's school board compared how many students attend each high school. Which school has the fewest students?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 661.\n\nNow find the corresponding school. Jackson High corresponds to 661.", "answer": "Jackson High", "table": "**High school attendance**\n\n| School | Number of students |\n| --- | --- |\n| Jackson High | 661 |\n| Oak High | 697 |\n| Washington High | 679 |\n| Hillcrest High | 692 |" } ] }, { "id": "23980", "image": "23980.png", "conversations": [ { "from": "human", "question": "A food magazine published a listing of local restaurant ratings. How many restaurants were rated exactly 22 points?\n" }, { "from": "gpt", "solution": "For the number 22, the stem is 2, and the leaf is 2. Find the row where the stem is 2. In that row, count all the leaves equal to 2.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 restaurants were rated exactly22 points.", "answer": "2", "table": "**Restaurant ratings**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 4, 6, 8, 9 |\n| 2 | 0, 0, 0, 2, 2, 3, 7 |\n| 3 | 0, 2, 4, 9 |\n| 4 | 5 |" } ] }, { "id": "23983", "image": "23983.png", "conversations": [ { "from": "human", "question": "How much money does Ruth need to buy a funnel cake stand, a popcorn cart, and a pretzel stand?\n" }, { "from": "gpt", "solution": "Find the total cost of a funnel cake stand, a popcorn cart, and a pretzel stand.\n\n$5,411.00 + $8,519.00 + $8,952.00 = $22,882.00\n\nRuth needs $22,882.00.", "answer": "22,882", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| ice cream truck | $6,579.00 |\n| shaved ice cart | $7,273.00 |\n| pretzel stand | $8,952.00 |\n| popcorn cart | $8,519.00 |\n| funnel cake stand | $5,411.00 |" } ] }, { "id": "23984", "image": "23984.png", "conversations": [ { "from": "human", "question": "Jim went to the store and bought 3 pounds of blue cheese. How much did he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the blue cheese. Multiply the price per pound by the number of pounds.\n$6 × 3 = $18\nHe spent $18.", "answer": "18", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| Brie | $4 per lb |\n| smoked cheddar | $5 per lb |\n| mozzarella | $6 per lb |\n| blue cheese | $6 per lb |" } ] }, { "id": "23985", "image": "23985.png", "conversations": [ { "from": "human", "question": "How much money does Alexa need to buy a coloring book and an airplane calendar?\n" }, { "from": "gpt", "solution": "Add the price of a coloring book and the price of an airplane calendar:\n\n$4 + $6 = $10\n\nAlexa needs $10.", "answer": "10", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| airplane calendar | $6 |\n| book of brainteasers | $4 |\n| map of the world | $3 |\n| coloring book | $4 |" } ] }, { "id": "23988", "image": "23988.png", "conversations": [ { "from": "human", "question": "The players on a quiz show received the following scores. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n5, 1, 1, 3, 1, 5\n\nFirst, arrange the numbers from least to greatest:\n\n1, 1, 1, 3, 5, 5\n\nNow count how many times each number appears.\n\n1 appears 3 times.\n3 appears 1 time.\n5 appears 2 times.\n\nThe number that appears most often is 1.\n\nThe mode is 1.", "answer": "1", "table": "**Quiz show scores**\n\n| Name | Score |\n| --- | --- |\n| Cooper | 5 |\n| Dave | 1 |\n| Jack | 1 |\n| Leslie | 3 |\n| Anna | 1 |\n| Terrell | 5 |" } ] }, { "id": "24000", "image": "24000.png", "conversations": [ { "from": "human", "question": "The manager of Nonno's Pizza asked 40 customers if they prefer to have vegetables or no vegetables on their pizzas. This table shows the relative frequencies from the survey. How many more women than men prefer vegetables on their pizza?\n" }, { "from": "gpt", "solution": "Find the number of women who prefer vegetables on their pizza and the number of men who prefer vegetables on their pizza. Then, subtract to find the difference.\nTo start, find the relative frequency of women who prefer vegetables on their pizza.\nThe relative frequency is 0.40. To find the number of women who prefer vegetables on their pizza, multiply by 40, the total number of customers the manager surveyed.\n0.40 · 40 = 16\nSo, 16 women prefer vegetables on their pizza.\nNext, find the relative frequency of men who prefer vegetables on their pizza.\nThe relative frequency is 0.15. To find the number of men who prefer vegetables on their pizza, multiply by 40, the total number of customers the manager surveyed.\n0.15 · 40 = 6\nSo, 6 men prefer vegetables on their pizza.\nLast, find how many more women than men prefer vegetables on their pizza. Subtract.\n16 - 6 = 10\nSo, 10 more women than men prefer vegetables on their pizza.", "answer": "10", "table": "**Vegetables No vegetables Total**\n\n| Column 1 | Column 2 | Column 3 | Column 4 |\n| --- | --- | --- | --- |\n| Men | 0.15 | 0.25 | 0.40 |\n| Women | 0.40 | 0.20 | 0.60 |\n| Total | 0.55 | 0.45 | 1.00 |" } ] }, { "id": "24002", "image": "24002.png", "conversations": [ { "from": "human", "question": "A cheese merchant in Hampton sells cheeses from a variety of regions, and he noted how much from each region was sold last year. What fraction of the cheese sold was from Spain? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how much cheese from Spain was sold.\n\n620\n\nFind how much cheese was sold in total.\n\n910 + 620 + 620 = 2,150\n\nDivide 620 by2,150.\n\n\\frac{620}{2,150}\n\nReduce the fraction.\n\n\\frac{620}{2,150} → \\frac{62}{215}\n\n\\frac{62}{215} of Find how much cheese from Spain was sold.", "answer": "62/215", "table": "**Cheese sales**\n\n| Origin | Number of kilograms |\n| --- | --- |\n| France | 910 |\n| Spain | 620 |\n| Other | 620 |" } ] }, { "id": "24006", "image": "24006.png", "conversations": [ { "from": "human", "question": "Look at Jaylin's pay stub. Jaylin lives in a state that has state income tax. How much payroll tax did Jaylin pay in total?\n" }, { "from": "gpt", "solution": "To find the total payroll tax, add the federal income tax, state income tax, and other taxes.\nThe federal income tax is $349.70. The state income tax is $138.64. The other taxes are $181.61. Add.\n$349.70 + $138.64 + $181.61 = $669.95\nJaylin paid a total of $669.95 in payroll tax.", "answer": "669.95", "table": "| Employee | Pay period | |\n| --- | --- | --- |\n| Jaylin Meadows | July 16-31 | |\n| Total earnings | | $2,374.00 |\n| Federal income tax | $349.70 | |\n| State income tax | $138.64 | |\n| Other taxes | $181.61 | |\n| Total taxes | | ? |\n| Pay after taxes | | ? |" } ] }, { "id": "24011", "image": "24011.png", "conversations": [ { "from": "human", "question": "The parks department compared how many soccer fields there are at each park. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 7, 4, 3, 7, 2\n\nFirst, count how many numbers are in the group.\n\nThere are 6 numbers.\n\nNow add all the numbers together:\n\n7 + 7 + 4 + 3 + 7 + 2 = 30\n\nNow divide the sum by the number of numbers:\n\n30 ÷ 6 = 5\n\nThe mean is 5.", "answer": "5", "table": "**Soccer fields**\n\n| Park | Number of soccer fields |\n| --- | --- |\n| Juniper Park | 7 |\n| Madison Park | 7 |\n| Canyon Park | 4 |\n| Windy Hill Park | 3 |\n| Lighthouse Park | 7 |\n| Elmhurst Park | 2 |" } ] }, { "id": "24024", "image": "24024.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which class ends at 12.25 P.M.?\n" }, { "from": "gpt", "solution": "Find 12:25 P. M. on the schedule. Gym class ends at 12:25 P. M.", "answer": "Gym class", "table": "**Class schedule**\n\n| Subject | Begin | End |\n| --- | --- | --- |\n| Math | 7:50 A.M. | 8:40 A.M. |\n| Biology | 8:45 A.M. | 9:25 A.M. |\n| English | 9:30 A.M. | 10:25 A.M. |\n| Astronomy | 10:35 A.M. | 11:25 A.M. |\n| Gym | 11:35 A.M. | 12:25 P.M. |\n| Chemistry | 12:30 P.M. | 1:25 P.M. |\n| History | 1:35 P.M. | 2:15 P.M. |\n| Music | 2:20 P.M. | 2:50 P.M. |\n| Art | 3:00 P.M. | 3:45 P.M. |" } ] }, { "id": "24027", "image": "24027.png", "conversations": [ { "from": "human", "question": "A farm equipment company kept a record of the number of tractors made each month. How many tractors did the company make in total in December and February?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nDecember: 508\nFebruary: 211\n\nNow add: 508 + 211 = 719.\n\nThe company made 719 tractors in December and February.", "answer": "719", "table": "**Tractors made**\n\n| Month | Number of tractors |\n| --- | --- |\n| December | 508 |\n| January | 114 |\n| February | 211 |\n| March | 220 |\n| April | 207 |" } ] }, { "id": "24036", "image": "24036.png", "conversations": [ { "from": "human", "question": "Colton wants to buy 1+3/10 kilograms of English muffins. How much will he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the English muffins. Multiply the price per kilogram by the number of kilograms.\n$8 × 1\\frac{3}{10} = $8 × 1.3 = $10.40\nHe will spend $10.40.", "answer": "10.40", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| spelt rolls | $8/kilogram |\n| hamburger buns | $7/kilogram |\n| rye rolls | $6/kilogram |\n| wheat rolls | $8/kilogram |\n| English muffins | $8/kilogram |\n| tortillas | $5/kilogram |" } ] }, { "id": "24039", "image": "24039.png", "conversations": [ { "from": "human", "question": "Sidney is planning a large dinner party. She records how many pieces of silverware she needs in a frequency chart. How many pieces of silverware does Sidney need for the party?\n" }, { "from": "gpt", "solution": "The frequencies tell you how many of each type of silverware Sidney needs. To find the total number of pieces, add up all the frequencies.\n24 + 20 + 20 = 64\nSidney needs 64 pieces of silverware.", "answer": "64", "table": "**Silverware**\n\n| Type | Frequency |\n| --- | --- |\n| fork | 24 |\n| knife | 20 |\n| spoon | 20 |" } ] }, { "id": "24042", "image": "24042.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which class ends at 2.10 P.M.?\n" }, { "from": "gpt", "solution": "Find 2:10 P. M. on the schedule. Badminton class ends at 2:10 P. M.", "answer": "Badminton class", "table": "**Gym teacher's schedule**\n\n| Class | Begin | End |\n| --- | --- | --- |\n| Weightlifting | 7:00 A.M. | 8:20 A.M. |\n| Ballet | 8:35 A.M. | 10:10 A.M. |\n| Social Dance | 10:25 A.M. | 11:25 A.M. |\n| Tennis | 11:40 A.M. | 12:30 P.M. |\n| Badminton | 12:40 P.M. | 2:10 P.M. |\n| Softball | 2:15 P.M. | 3:20 P.M. |\n| Aerobics | 3:25 P.M. | 4:40 P.M. |" } ] }, { "id": "24043", "image": "24043.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{7 - 2}{14 - 13}\n = \\frac{5}{1}\n = 5\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{12 - 2}{15 - 13}\n = \\frac{10}{2}\n = 5\nThe two rates of change are the same.\nIf you checked the rate of change between rows 2 and 3, you would find that it is also 5.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 13 | 2 |\n| 14 | 7 |\n| 15 | 12 |" } ] }, { "id": "24053", "image": "24053.png", "conversations": [ { "from": "human", "question": "Kim Furniture Exports is shipping pieces of furniture made out of different types of wood. Of which type of wood are the fewest bookcases made?\n" }, { "from": "gpt", "solution": "Look at the numbers in the Bookcases column. Find the least number in this column.\n\nThe least number is 7, which is in the Maple row. The fewest bookcases are made of maple.", "answer": "maple", "table": "**Furniture**\n\n| Type of Wood | Beds | Bookcases |\n| --- | --- | --- |\n| Maple | 6 | 7 |\n| Oak | 10 | 20 |\n| Pine | 2 | 18 |\n| Mahogany | 19 | 9 |" } ] }, { "id": "24065", "image": "24065.png", "conversations": [ { "from": "human", "question": "An airline surveyed some of its passengers to find out whether they would rather have priority seating or a free checked bag. Some of the passengers were members of the airline's frequent flyer program, and some were not. This table shows the results. What percentage of the members surveyed prefer priority seating? Round your answer to the nearest tenth of a percent.\n" }, { "from": "gpt", "solution": "To start, find the number of members who prefer priority seating.\n26 members prefer priority seating.\nNext, find the total number of members surveyed.\n57 members were surveyed in total.\nLast, find the percentage of members who prefer priority seating. Divide the number of members who prefer priority seating by the total number of members surveyed.\n\\frac{26}{57} = 0.4561… = 45.61...%\nTo the nearest tenth of a percent, 45.6% of members surveyed prefer priority seating.", "answer": "45.6%", "table": "**Priority seating Free checked bag Total**\n\n| Column 1 | Column 2 | Column 3 | Column 4 |\n| --- | --- | --- | --- |\n| Members | 26 | 31 | 57 |\n| Non-members | 35 | 41 | 78 |\n| Total | 61 | 74 | 135 |" } ] }, { "id": "24068", "image": "24068.png", "conversations": [ { "from": "human", "question": "Kevin has $0.14. Does he have enough to buy a small box of paper clips and a thin green highlighter?\n" }, { "from": "gpt", "solution": "Add the price of a small box of paper clips and the price of a thin green highlighter:\n\n$0.07 + $0.09 = $0.16\n\n$0.16 is more than $0.14. Kevin does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| silver pen | $0.03 |\n| small box of paper clips | $0.07 |\n| black pen | $0.02 |\n| glue stick | $0.04 |\n| thin green highlighter | $0.09 |\n| package of pencil lead | $0.08 |" } ] }, { "id": "24072", "image": "24072.png", "conversations": [ { "from": "human", "question": "Lily has $12.50. Does she have enough to buy a casserole dish and a serving platter?\n" }, { "from": "gpt", "solution": "Add the price of a casserole dish and the price of a serving platter:\n\n$4.26 + $8.05 = $12.31\n\n$12.31 is less than $12.50. Lily does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| cookbook | $3.12 |\n| set of spoons | $9.17 |\n| plastic cup | $1.24 |\n| casserole dish | $4.26 |\n| small plate | $2.54 |\n| serving platter | $8.05 |" } ] }, { "id": "24080", "image": "24080.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{8 - 18}{11 - 10}\n = \\frac{-10}{1}\n = -10\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{1 - 18}{12 - 10}\n = \\frac{-17}{2}\n = -8\\frac{1}{2}\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 10 | 18 |\n| 11 | 8 |\n| 12 | 1 |" } ] }, { "id": "24085", "image": "24085.png", "conversations": [ { "from": "human", "question": "A farmer wrote down how many kilograms of cherries were sold in the past 4 days. On which day were the most kilograms of cherries sold?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 885.\n\nNow find the corresponding day. Friday corresponds to 885.", "answer": "Friday", "table": "**Cherries sold**\n\n| Day | Kilograms |\n| --- | --- |\n| Tuesday | 854 |\n| Wednesday | 845 |\n| Thursday | 841 |\n| Friday | 885 |" } ] }, { "id": "24087", "image": "24087.png", "conversations": [ { "from": "human", "question": "Several people compared how many Web pages they had visited. Who visited the most Web pages?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 69.\n\nNow find the corresponding person. Isabella corresponds to 69.", "answer": "Isabella", "table": "**Web pages visited**\n\n| Person | Number of Web pages |\n| --- | --- |\n| Dylan | 65 |\n| Isabella | 69 |\n| Todd | 67 |\n| Jeanette | 61 |" } ] }, { "id": "24090", "image": "24090.png", "conversations": [ { "from": "human", "question": "Brennan counted the number of words per page in his new book. How many pages have at least 60 words but fewer than 70 words?\n" }, { "from": "gpt", "solution": "Count all the leaves in the row with stem 6.\n\nYou counted 8 leaves, which are blue in the stem-and-leaf plot above. 8 pages have at least 60 words but fewer than 70 words.", "answer": "8", "table": "**Words per page**\n\n| Stem | Leaf |\n| --- | --- |\n| 6 | 0, 0, 1, 3, 3, 5, 6, 8 |\n| 7 | 1, 2, 3, 3, 4, 6 |\n| 8 | 0, 0, 4, 5, 6, 7, 8, 8 |\n| 9 | 0, 0 |" } ] }, { "id": "24097", "image": "24097.png", "conversations": [ { "from": "human", "question": "The movie critic liked to count the number of actors in each movie she saw. How many movies had fewer than 80 actors?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1, 2, 3, 4, 5, 6, and 7.\n\nYou counted 8 leaves, which are blue in the stem-and-leaf plot above. 8 movies had fewer than 80 actors.", "answer": "8", "table": "**Actors per movie**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 8 |\n| 2 | |\n| 3 | 4, 7 |\n| 4 | 0 |\n| 5 | 4 |\n| 6 | 0, 5, 9 |\n| 7 | |\n| 8 | |\n| 9 | 0 |" } ] }, { "id": "24098", "image": "24098.png", "conversations": [ { "from": "human", "question": "The architecture student counted the number of bricks in each building in her neighborhood. How many buildings have fewer than 80 bricks?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1, 2, 3, 4, 5, 6, and 7.\n\nYou counted 21 leaves, which are blue in the stem-and-leaf plot above. 21 buildings have fewer than 80 bricks.", "answer": "21", "table": "**Bricks per building**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 6, 7, 8 |\n| 2 | 4 |\n| 3 | 4, 6 |\n| 4 | 0, 2, 3, 4, 9 |\n| 5 | 0, 8, 9 |\n| 6 | 0, 3, 8 |\n| 7 | 5, 6, 8, 9 |" } ] }, { "id": "24108", "image": "24108.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $660, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $660, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $460 | 19,800 | 4,200 |\n| $560 | 15,700 | 6,400 |\n| $660 | 11,600 | 8,600 |\n| $760 | 7,500 | 10,800 |\n| $860 | 3,400 | 13,000 |" } ] }, { "id": "24109", "image": "24109.png", "conversations": [ { "from": "human", "question": "How much money does Ellen need to buy an online ad and a TV ad?\n" }, { "from": "gpt", "solution": "Add the price of an online ad and the price of a TV ad:\n\n$1,647.00 + $6,937.00 = $8,584.00\n\nEllen needs $8,584.00.", "answer": "8,584", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| TV ad | $6,937.00 |\n| billboard ad | $7,923.00 |\n| full-page newspaper ad | $4,834.00 |\n| magazine ad | $3,816.00 |\n| online ad | $1,647.00 |" } ] }, { "id": "24110", "image": "24110.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{8 - 9}{1 - 0}\n = \\frac{-1}{1}\n = -1\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{7 - 8}{2 - 1}\n = \\frac{-1}{1}\n = -1\nThe two rates of change are the same.\n1.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 0 | 9 |\n| 1 | 8 |\n| 2 | 7 |" } ] }, { "id": "24111", "image": "24111.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $815, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $815, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $575 | 17,700 | 15,300 |\n| $695 | 14,300 | 16,800 |\n| $815 | 10,900 | 18,300 |\n| $935 | 7,500 | 19,800 |\n| $1,055 | 4,100 | 21,300 |" } ] }, { "id": "24115", "image": "24115.png", "conversations": [ { "from": "human", "question": "Mr. Thompson, the marine biology teacher, asked his students how many times they went to the beach last summer. How many students went to the beach exactly twice last summer?\n" }, { "from": "gpt", "solution": "Find the row for 2 times and read the frequency. The frequency is 4.\n\n4 students went to the beach exactly twice last summer.", "answer": "4", "table": "**Trips to the beach last summer**\n\n| Number of trips | Frequency |\n| --- | --- |\n| 0 | 20 |\n| 1 | 10 |\n| 2 | 4 |\n| 3 | 1 |\n| 4 | 16 |" } ] }, { "id": "24133", "image": "24133.png", "conversations": [ { "from": "human", "question": "Some friends went bowling and kept track of their scores. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n73, 72, 73, 69, 72, 85\n\nFirst, count how many numbers are in the group.\n\nThere are 6 numbers.\n\nNow add all the numbers together:\n\n73 + 72 + 73 + 69 + 72 + 85 = 444\n\nNow divide the sum by the number of numbers:\n\n444 ÷ 6 = 74\n\nThe mean is 74.", "answer": "74", "table": "**Bowling scores**\n\n| Name | Score |\n| --- | --- |\n| Gavin | 73 |\n| Hector | 72 |\n| Javier | 73 |\n| Percy | 69 |\n| Mariana | 72 |\n| Oscar | 85 |" } ] }, { "id": "24138", "image": "24138.png", "conversations": [ { "from": "human", "question": "A taxi cab driver tracked how many miles she drove each month. How many miles did the taxi cab driver drive in total in May and July?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nMay: 1,938\nJuly: 5,058\n\nNow add: 1,938 + 5,058 = 6,996.\n\nThe taxi cab driver drove 6,996 miles in May and July.", "answer": "6,996", "table": "**Miles driven**\n\n| Month | Miles |\n| --- | --- |\n| May | 1,938 |\n| June | 3,463 |\n| July | 5,058 |\n| August | 3,548 |\n| September | 1,246 |" } ] }, { "id": "24145", "image": "24145.png", "conversations": [ { "from": "human", "question": "A technical support line tracked how many calls it received each day. How many more calls did the support line receive on Thursday than on Wednesday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nThursday: 374\nWednesday: 132\n\nNow subtract: 374 - 132 = 242.\n\nThe support line received 242 more calls on Thursday.", "answer": "242", "table": "**Phone calls received**\n\n| Day | Number of calls |\n| --- | --- |\n| Wednesday | 132 |\n| Thursday | 374 |\n| Friday | 684 |" } ] }, { "id": "24156", "image": "24156.png", "conversations": [ { "from": "human", "question": "Each field has 10 goats. How many goats are in 3 fields?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 30 goats in 3 fields.", "answer": "30", "table": "| Number of fields | Number of goats |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | ? |" } ] }, { "id": "24162", "image": "24162.png", "conversations": [ { "from": "human", "question": "Each shelf has 2 jackets. How many jackets are on 3 shelves?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 6 jackets on 3 shelves.", "answer": "6", "table": "| Number of shelves | Number of jackets |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | ? |" } ] }, { "id": "24168", "image": "24168.png", "conversations": [ { "from": "human", "question": "The Princeton Tourism Office researched how often people played miniature golf last summer. How many people are there in all?\n" }, { "from": "gpt", "solution": "Add the frequencies for each row.\n\nAdd:\n\n18 + 5 + 14 + 16 + 13 + 3 + 0 = 69\n\nThere are 69 people in all.", "answer": "69", "table": "**Playing miniature golf last summer**\n\n| Times played | Frequency |\n| --- | --- |\n| 0 | 18 |\n| 1 | 5 |\n| 2 | 14 |\n| 3 | 16 |\n| 4 | 13 |\n| 5 | 3 |\n| 6 | 0 |" } ] }, { "id": "24170", "image": "24170.png", "conversations": [ { "from": "human", "question": "What is the total cost for 3 pounds of strawberries and 3 pounds of boysenberries?\n" }, { "from": "gpt", "solution": "Find the cost of the strawberries. Multiply:\n\n$2.21 × 3 = $6.63\n\nFind the cost of the boysenberries. Multiply:\n\n$2.50 × 3 = $7.50\n\nNow find the total cost by adding:\n\n$6.63 + $7.50 = $14.13\n\nThe total cost is $14.13.", "answer": "14.13", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| blackberries | $2.34 per pound |\n| strawberries | $2.21 per pound |\n| blueberries | $5.55 per pound |\n| boysenberries | $2.50 per pound |" } ] }, { "id": "24180", "image": "24180.png", "conversations": [ { "from": "human", "question": "Mrs. Moran hosts an annual art contest for kids, and she keeps a record of the number of entries each year. According to the table, what was the rate of change between 2009 and 2010?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{10 entries - 10 entries}{2010 - 2009}\n = \\frac{10 entries - 10 entries}{1 year}\n = \\frac{0 entries}{1 year}\n = 0 entries per year\nThe rate of change between 2009 and 2010 was 0 entries per year.", "answer": "0", "table": "**Art contest entries**\n\n| Year | Number of entries |\n| --- | --- |\n| 2006 | 14 |\n| 2007 | 13 |\n| 2008 | 15 |\n| 2009 | 10 |\n| 2010 | 10 |" } ] }, { "id": "24186", "image": "24186.png", "conversations": [ { "from": "human", "question": "Each cage has 10 gerbils. How many gerbils are in 3 cages?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 30 gerbils in 3 cages.", "answer": "30", "table": "| Number of cages | Number of gerbils |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | ? |" } ] }, { "id": "24199", "image": "24199.png", "conversations": [ { "from": "human", "question": "Rosa looked at her e-mail outbox to see how many e-mails she sent each day. On which day did Rosa send the most e-mails?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 39.\n\nNow find the corresponding day. Monday corresponds to 39.", "answer": "Monday", "table": "**E-mails sent**\n\n| Day | Number of e-mails |\n| --- | --- |\n| Sunday | 31 |\n| Monday | 39 |\n| Tuesday | 38 |\n| Wednesday | 37 |" } ] }, { "id": "24211", "image": "24211.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Keith got on the train at Ashland at 11.00 A.M. What time will he get to Kensington?\n" }, { "from": "gpt", "solution": "Find 11:00 A. M. in the row for Ashland. That column shows the schedule for the train that Keith is on.\n\nLook down the column until you find the row for Kensington.\n\nKeith will get to Kensington at 2:30 P. M.", "answer": "2:30 P.M.", "table": "**Train schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 |\n| --- | --- | --- | --- |\n| Ashland | 9:00 A.M. | 11:00 A.M. | 10:45 P.M. |\n| Lowell | 10:45 A.M. | 12:45 P.M. | 12:30 A.M. |\n| Kensington | 12:30 P.M. | 2:30 P.M. | 2:15 A.M. |\n| Greenwood | 2:15 P.M. | 4:15 P.M. | 4:00 A.M. |" } ] }, { "id": "24218", "image": "24218.png", "conversations": [ { "from": "human", "question": "The town council reported on how many stop signs there are on each street. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n3, 4, 2, 6, 3, 4, 2\n\nFirst, arrange the numbers from least to greatest:\n\n2, 2, 3, 3, 4, 4, 6\n\nNow find the number in the middle.\n\n2, 2, 3, 3, 4, 4, 6\n\nThe number in the middle is 3.\n\nThe median is 3.", "answer": "3", "table": "**Stop signs**\n\n| Street | Number of stop signs |\n| --- | --- |\n| Watson Street | 3 |\n| Smith Street | 4 |\n| Peabody Street | 2 |\n| Marshall Street | 6 |\n| Mason Street | 3 |\n| Spring Street | 4 |\n| Jackson Street | 2 |" } ] }, { "id": "24224", "image": "24224.png", "conversations": [ { "from": "human", "question": "For a science fair project, Omar tracked the temperature each day. What is the lowest temperature?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 1.\n\nNow find the lowest leaf in the first row. The lowest leaf is 1.\n\nThe lowest temperature has a stem of 1 and a leaf of 1. Write the stem first, then the leaf: 11.\n\nThe lowest temperature is 11°C.", "answer": "11", "table": "**Daily temperatures (°C)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1, 2, 2, 4, 5, 6, 8, 9 |\n| 2 | 0, 1, 4, 5, 8 |\n| 3 | 1, 2, 2, 5, 7, 7, 9 |\n| 4 | 0, 2, 2, 2 |" } ] }, { "id": "24231", "image": "24231.png", "conversations": [ { "from": "human", "question": "A video store clerk looked up the number of movies checked out each day. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n56, 58, 58, 60, 60, 56, 60\n\nFirst, arrange the numbers from least to greatest:\n\n56, 56, 58, 58, 60, 60, 60\n\nNow count how many times each number appears.\n\n56 appears 2 times.\n58 appears 2 times.\n60 appears 3 times.\n\nThe number that appears most often is 60.\n\nThe mode is 60.", "answer": "60", "table": "**Movies checked out**\n\n| Day | Number of movies |\n| --- | --- |\n| Sunday | 56 |\n| Monday | 58 |\n| Tuesday | 58 |\n| Wednesday | 60 |\n| Thursday | 60 |\n| Friday | 56 |\n| Saturday | 60 |" } ] }, { "id": "24238", "image": "24238.png", "conversations": [ { "from": "human", "question": "For an economics project, Josie determined the cost of ferry rides for bicycles and cars. Which charges less for a car, the Seattle-Bremerton ferry or the Fauntleroy-Vashon ferry?\n" }, { "from": "gpt", "solution": "Find the Car column. Compare the numbers in this column for Seattle-Bremerton and Fauntleroy-Vashon.\n\n$12.00 is less than $15.00. The Seattle-Bremerton ferry charges less for a car.", "answer": "Seattle-Bremerton", "table": "**Ferry fares**\n\n| Ferry | Bicycle | Car |\n| --- | --- | --- |\n| Southport-Fort Fisher | $2 | $5 |\n| Seattle-Bremerton | $8 | $12 |\n| Ocracoke | $3 | $15 |\n| Fauntleroy-Vashon | $5 | $15 |" } ] }, { "id": "24240", "image": "24240.png", "conversations": [ { "from": "human", "question": "Colleen counted the number of pieces of pepperoni on each pizza she made. How many pizzas had exactly 48 pieces of pepperoni?\n" }, { "from": "gpt", "solution": "For the number 48, the stem is 4, and the leaf is 8. Find the row where the stem is 4. In that row, count all the leaves equal to 8.\n\nYou counted 0 leaves. 0 pizzas had exactly 48 pieces of pepperoni.", "answer": "0", "table": "**Pieces of pepperoni per pizza**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 9, 9 |\n| 2 | 1, 2, 5, 6, 8 |\n| 3 | 3, 3, 6, 7, 7, 8, 8 |\n| 4 | 1, 1, 2, 4 |" } ] }, { "id": "24251", "image": "24251.png", "conversations": [ { "from": "human", "question": "Devin wrote down how many cups of lemonade he sold in the past 7 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n10, 6, 8, 8, 8, 9, 8\n\nFirst, arrange the numbers from least to greatest:\n\n6, 8, 8, 8, 8, 9, 10\n\nNow find the number in the middle.\n\n6, 8, 8, 8, 8, 9, 10\n\nThe number in the middle is 8.\n\nThe median is 8.", "answer": "8", "table": "**Cups of lemonade sold**\n\n| Day | Number of cups |\n| --- | --- |\n| Friday | 10 |\n| Saturday | 6 |\n| Sunday | 8 |\n| Monday | 8 |\n| Tuesday | 8 |\n| Wednesday | 9 |\n| Thursday | 8 |" } ] }, { "id": "24252", "image": "24252.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Lily just missed the 2.30 P.M. train at Morristown. How long does she have to wait until the next train?\n" }, { "from": "gpt", "solution": "Find 2:30 P. M. in the row for Morristown.\n\nLook for the next train in that row.\n\nThe next train is at 3:15 P. M.\n\nFind the elapsed time. The elapsed time is 45 minutes.", "answer": "45 minutes", "table": "**Train schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 | Column 5 |\n| --- | --- | --- | --- | --- |\n| Hillsdale | 6:15 A.M. | 7:45 A.M. | 8:30 A.M. | 8:45 A.M. |\n| Newton | 8:00 A.M. | 9:30 A.M. | 10:15 A.M. | 10:30 A.M. |\n| Dayton | 8:45 A.M. | 10:15 A.M. | 11:00 A.M. | 11:15 A.M. |\n| Bloomington | 10:45 A.M. | 12:15 P.M. | 1:00 P.M. | 1:15 P.M. |\n| Clarksville | 12:00 P.M. | 1:30 P.M. | 2:15 P.M. | 2:30 P.M. |\n| Morristown | 1:00 P.M. | 2:30 P.M. | 3:15 P.M. | 3:30 P.M. |\n| Burlington | 1:30 P.M. | 3:00 P.M. | 3:45 P.M. | 4:00 P.M. |\n| Lexington | 2:15 P.M. | 3:45 P.M. | 4:30 P.M. | 4:45 P.M. |\n| Silvergrove | 2:45 P.M. | 4:15 P.M. | 5:00 P.M. | 5:15 P.M. |" } ] }, { "id": "24267", "image": "24267.png", "conversations": [ { "from": "human", "question": "Gina has outgrown the bike she rode when she was small. So, for her twelfth birthday, her parents surprise her with a five-speed Blaze Rider 2000! Gina has never had a bike with multiple speeds before, and she is eager to learn how it works. She starts by testing the middle speed. There is a proportional relationship between the number of times Gina pedals, x, and the number of times the wheels rotate, y. What is the constant of proportionality? Write your answer as a whole number or decimal.\n" }, { "from": "gpt", "solution": "To find the constant of proportionality, calculate the ratio of y to x.\n8 / 4 = 2\n14 / 7 = 2\n18 / 9 = 2\n20 / 10 = 2\nThe ratio for each pair of x- and y-values is 2. So, the variables have a proportional relationship.\nSo, the constant of proportionality is 2 wheel rotations per time Gina pedals.", "answer": "2", "table": "**x (times Gina pedals) y (times the wheels rotate)**\n\n| Column 1 | Column 2 |\n| --- | --- |\n| 4 | 8 |\n| 7 | 14 |\n| 9 | 18 |\n| 10 | 20 |" } ] }, { "id": "24270", "image": "24270.png", "conversations": [ { "from": "human", "question": "How much more does a piano key chain cost than a horse key chain?\n" }, { "from": "gpt", "solution": "Subtract the price of a horse key chain from the price of a piano key chain.\n\n$0.96 - $0.84 = $0.12\n\nA piano key chain costs $0.12 more than a horse key chain.", "answer": "0.12", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| baseball bat key chain | $0.52 |\n| alligator key chain | $0.50 |\n| piano key chain | $0.96 |\n| horse key chain | $0.84 |\n| frog key chain | $0.94 |" } ] }, { "id": "24277", "image": "24277.png", "conversations": [ { "from": "human", "question": "Some students compared how many pets they have. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 6, 7, 6, 8, 8\n\nFirst, arrange the numbers from least to greatest:\n\n6, 6, 6, 7, 8, 8\n\nNow count how many times each number appears.\n\n6 appears 3 times.\n7 appears 1 time.\n8 appears 2 times.\n\nThe number that appears most often is 6.\n\nThe mode is 6.", "answer": "6", "table": "**Pets**\n\n| Name | Number of pets |\n| --- | --- |\n| Scott | 6 |\n| Zeke | 6 |\n| Reggie | 7 |\n| Colton | 6 |\n| Maggie | 8 |\n| James | 8 |" } ] }, { "id": "24280", "image": "24280.png", "conversations": [ { "from": "human", "question": "Some teachers compared how many years they have been teaching. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 1, 1, 9, 1\n\nFirst, arrange the numbers from least to greatest:\n\n1, 1, 1, 9, 9\n\nNow count how many times each number appears.\n\n1 appears 3 times.\n9 appears 2 times.\n\nThe number that appears most often is 1.\n\nThe mode is 1.", "answer": "1", "table": "**Years of teaching**\n\n| Teacher | Number of years |\n| --- | --- |\n| Miss Lim | 9 |\n| Mr. Perez | 1 |\n| Ms. Chan | 1 |\n| Miss Watson | 9 |\n| Mr. Park | 1 |" } ] }, { "id": "24281", "image": "24281.png", "conversations": [ { "from": "human", "question": "Use the data to answer the question below. Is the following statement about our solar system true or false? 50% of the planets are made mainly of gas.\n" }, { "from": "gpt", "solution": "The table tells you that two out of the eight planets are made mainly of gas. So, one-fourth, or 25%, of the planets are made mainly of gas.", "answer": "false", "table": "**Planet Volume (billions of km3) Primary composition**\n\n| Column 1 | Column 2 |\n| --- | --- |\n| Mercury | 60 rock |\n| Venus | 930 rock |\n| Earth | 1,090 rock |\n| Mars | 160 rock |\n| Jupiter | 1,431,280 gas |\n| Saturn | 827,130 gas |\n| Uranus | 68,330 ice |\n| Neptune | 62,530 ice |" } ] }, { "id": "24284", "image": "24284.png", "conversations": [ { "from": "human", "question": "How much money does Sanjay need to buy 4 polished silver top shells and 3 shiny gold shells?\n" }, { "from": "gpt", "solution": "Find the cost of 4 polished silver top shells.\n\n$0.93 × 4 = $3.72\n\nFind the cost of 3 shiny gold shells.\n\n$0.40 × 3 = $1.20\n\nNow find the total cost.\n\n$3.72 + $1.20 = $4.92\n\nSanjay needs $4.92.", "answer": "4.92", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| dark gray shell | $0.85 |\n| beautiful yellow shell | $0.77 |\n| shiny gold shell | $0.40 |\n| purple clam shell | $0.88 |\n| polished silver top shell | $0.93 |" } ] }, { "id": "24292", "image": "24292.png", "conversations": [ { "from": "human", "question": "An employee at the craft store counted the number of red buttons in each bag of mixed buttons. How many bags had at least 50 red buttons but fewer than 70 red buttons?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 5 and 6.\n\nYou counted 9 leaves, which are blue in the stem-and-leaf plot above. 9 bags had at least 50 red buttons but fewer than 70 red buttons.", "answer": "9", "table": "**Red buttons per bag**\n\n| Stem | Leaf |\n| --- | --- |\n| 5 | 0, 9, 9 |\n| 6 | 1, 1, 4, 4, 9, 9 |\n| 7 | 0, 1, 2, 4, 9 |\n| 8 | 0, 2, 5, 6, 6, 6 |" } ] }, { "id": "24294", "image": "24294.png", "conversations": [ { "from": "human", "question": "Jamal bought 3 kilograms of blueberry applesauce. How much did he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the blueberry applesauce. Multiply the price per kilogram by the number of kilograms.\n\n$2.69 × 3 = $8.07\n\nHe spent $8.07.", "answer": "8.07", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| plain applesauce | $1.50 per kg |\n| raspberry applesauce | $1.48 per kg |\n| strawberry applesauce | $2.34 per kg |\n| unsweetened applesauce | $1.89 per kg |\n| blueberry applesauce | $2.69 per kg |" } ] }, { "id": "24295", "image": "24295.png", "conversations": [ { "from": "human", "question": "Some students compared how many clubs they belong to. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 3, 4, 4, 5, 2, 4\n\nFirst, count how many numbers are in the group.\n\nThere are 7 numbers.\n\nNow add all the numbers together:\n\n6 + 3 + 4 + 4 + 5 + 2 + 4 = 28\n\nNow divide the sum by the number of numbers:\n\n28 ÷ 7 = 4\n\nThe mean is 4.", "answer": "4", "table": "**Clubs**\n\n| Name | Number of clubs |\n| --- | --- |\n| Jenna | 6 |\n| Amy | 3 |\n| Latrell | 4 |\n| Christina | 4 |\n| Wesley | 5 |\n| Brad | 2 |\n| Dale | 4 |" } ] }, { "id": "24299", "image": "24299.png", "conversations": [ { "from": "human", "question": "Oscar bought 1.2 pounds of chocolate-covered raisins. How much did he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the chocolate-covered raisins. Multiply the price per pound by the number of pounds.\n$4 × 1.2 = $4.80\nHe spent $4.80.", "answer": "4.80", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| licorice | $4/lb |\n| yogurt-covered peanuts | $3/lb |\n| lemon sours | $4/lb |\n| chocolate-covered raisins | $4/lb |" } ] }, { "id": "24303", "image": "24303.png", "conversations": [ { "from": "human", "question": "Look at this table. Is this relation a function?\n" }, { "from": "gpt", "solution": "Look at the x-values in the table.\n\nEach of the x-values is paired with only one y-value, so the relation is a function.", "answer": "yes", "table": "| x | y |\n| --- | --- |\n| 15 | 17 |\n| 17 | 15 |\n| 20 | 16 |\n| 9 | 13 |" } ] }, { "id": "24304", "image": "24304.png", "conversations": [ { "from": "human", "question": "A doctor's records revealed how many patients he saw each month. How many more patients did the doctor see in August than in September?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nAugust: 744\nSeptember: 602\n\nNow subtract: 744 - 602 = 142.\n\nThe doctor saw 142 more patients in August.", "answer": "142", "table": "**Patients seen**\n\n| Month | Number of patients |\n| --- | --- |\n| July | 402 |\n| August | 744 |\n| September | 602 |" } ] }, { "id": "24307", "image": "24307.png", "conversations": [ { "from": "human", "question": "A fashion magazine poll asks how many winter hats each reader owns. How many readers have at least 2 hats?\n" }, { "from": "gpt", "solution": "Find the rows for 2 and 3 hats. Add the frequencies for these rows.\n\nAdd:\n\n9 + 15 = 24\n\n24 readers have at least 2 hats.", "answer": "24", "table": "**Winter hats**\n\n| Number of winter hats | Frequency |\n| --- | --- |\n| 0 | 5 |\n| 1 | 13 |\n| 2 | 9 |\n| 3 | 15 |" } ] }, { "id": "24308", "image": "24308.png", "conversations": [ { "from": "human", "question": "Angie looked at her e-mail outbox to see how many e-mails she sent each day. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 6, 2, 3, 3\n\nFirst, find the greatest number. The greatest number is 7.\n\nNext, find the least number. The least number is 2.\n\nSubtract the least number from the greatest number:\n\n7 − 2 = 5\n\nThe range is 5.", "answer": "5", "table": "**E-mails sent**\n\n| Day | Number of e-mails |\n| --- | --- |\n| Wednesday | 7 |\n| Thursday | 6 |\n| Friday | 2 |\n| Saturday | 3 |\n| Sunday | 3 |" } ] }, { "id": "24314", "image": "24314.png", "conversations": [ { "from": "human", "question": "How much more does a parachuting adventure package cost than a scuba-diving adventure package?\n" }, { "from": "gpt", "solution": "Subtract the price of a scuba-diving adventure package from the price of a parachuting adventure package.\n\n$856 - $575 = $281\n\nA parachuting adventure package costs $281 more than a scuba-diving adventure package.", "answer": "281", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| mountain-biking adventure package | $593 |\n| parachuting adventure package | $856 |\n| surfing adventure package | $809 |\n| scuba-diving adventure package | $575 |" } ] }, { "id": "24316", "image": "24316.png", "conversations": [ { "from": "human", "question": "Some friends played a trivia game and recorded their scores. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n55, 55, 53, 55, 53, 51, 53, 55\n\nFirst, arrange the numbers from least to greatest:\n\n51, 53, 53, 53, 55, 55, 55, 55\n\nNow count how many times each number appears.\n\n51 appears 1 time.\n53 appears 3 times.\n55 appears 4 times.\n\nThe number that appears most often is 55.\n\nThe mode is 55.", "answer": "55", "table": "**Trivia game scores**\n\n| Name | Score |\n| --- | --- |\n| Aiden | 55 |\n| Tori | 55 |\n| Shane | 53 |\n| Javier | 55 |\n| Keenan | 53 |\n| Rebecca | 51 |\n| Bridget | 53 |\n| Melissa | 55 |" } ] }, { "id": "24334", "image": "24334.png", "conversations": [ { "from": "human", "question": "Clara has $13.50. Does she have enough to buy a white polo shirt and a long-sleeved shirt?\n" }, { "from": "gpt", "solution": "Add the price of a white polo shirt and the price of a long-sleeved shirt:\n\n$7.24 + $6.45 = $13.69\n\n$13.69 is more than $13.50. Clara does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| long-sleeved shirt | $6.45 |\n| white polo shirt | $7.24 |\n| denim skirt | $6.99 |\n| pair of sweat pants | $7.43 |" } ] }, { "id": "24338", "image": "24338.png", "conversations": [ { "from": "human", "question": "A Girl Scout troop recorded how many boxes of cookies they sold each day for a week. According to the table, what was the rate of change between Friday and Saturday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{31 boxes - 33 boxes}{1 day}\n = \\frac{-2 boxes}{1 day}\n = -2 boxes per day\nThe rate of change between Friday and Saturday was - 2 boxes per day.", "answer": "-2", "table": "**Boxes of Girl Scout cookies sold**\n\n| Day | Boxes of cookies |\n| --- | --- |\n| Tuesday | 31 |\n| Wednesday | 41 |\n| Thursday | 38 |\n| Friday | 33 |\n| Saturday | 31 |" } ] }, { "id": "24344", "image": "24344.png", "conversations": [ { "from": "human", "question": "A veterinarian weighed all the dogs that visited her office last month. What is the weight of the heaviest dog?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 9.\n\nNow find the highest leaf in the last row. The highest leaf is 0.\n\nThe weight of the heaviest dog has a stem of 9 and a leaf of 0. Write the stem first, then the leaf: 90.\n\nThe weight of the heaviest dog is 90 pounds.", "answer": "90", "table": "**Dogs' weights (lbs)**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 1, 6 |\n| 3 | |\n| 4 | 5 |\n| 5 | |\n| 6 | 2, 2 |\n| 7 | 4, 7 |\n| 8 | |\n| 9 | 0 |" } ] }, { "id": "24346", "image": "24346.png", "conversations": [ { "from": "human", "question": "Dr. Schmidt, a zoo director, researched ticket prices at other zoos around the country. Of the zoos shown, which charges the least for a senior ticket?\n" }, { "from": "gpt", "solution": "Look at the numbers in the Senior column. Find the least number in this column.\n\nThe least number is $6.00, which is in the Houston row. The Houston Zoo charges the least for a senior.", "answer": "Houston", "table": "**Zoo ticket prices**\n\n| Zoo | Child | Senior |\n| --- | --- | --- |\n| Cleveland | $7 | $10 |\n| Houston | $6 | $6 |\n| Minnesota | $10 | $10 |\n| Brookfield | $8 | $8 |" } ] }, { "id": "24352", "image": "24352.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{10 - 1}{6 - 5}\n = \\frac{9}{1}\n = 9\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{20 - 10}{7 - 6}\n = \\frac{10}{1}\n = 10\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 5 | 1 |\n| 6 | 10 |\n| 7 | 20 |" } ] }, { "id": "24354", "image": "24354.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{13 - 20}{1 - 0}\n = \\frac{-7}{1}\n = -7\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{3 - 20}{2 - 0}\n = \\frac{-17}{2}\n = -8\\frac{1}{2}\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 0 | 20 |\n| 1 | 13 |\n| 2 | 3 |" } ] }, { "id": "24364", "image": "24364.png", "conversations": [ { "from": "human", "question": "How much money does Doug need to buy a spiral snail shell and a pink conch shell?\n" }, { "from": "gpt", "solution": "Add the price of a spiral snail shell and the price of a pink conch shell:\n\n$0.06 + $0.05 = $0.11\n\nDoug needs $0.11.", "answer": "0.11", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pink conch shell | $0.05 |\n| polished silver top shell | $0.01 |\n| spiral snail shell | $0.06 |\n| shiny gold shell | $0.03 |\n| orange cone shell | $0.01 |" } ] }, { "id": "24369", "image": "24369.png", "conversations": [ { "from": "human", "question": "Mr. Carson, a track coach, recorded the sizes of all the nearby track teams. How many teams have at least 51 members?\n" }, { "from": "gpt", "solution": "Find the row with stem 5. Count all the leaves greater than or equal to 1.\n\nCount all the leaves in the rows with stems 6, 7, and 8.\n\nYou counted 5 leaves, which are blue in the stem-and-leaf plots above. 5 teams have at least 51 members.", "answer": "5", "table": "**Track team sizes (number of members)**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 3, 8 |\n| 4 | |\n| 5 | 0, 5 |\n| 6 | |\n| 7 | 0 |\n| 8 | 3, 6, 8 |" } ] }, { "id": "24371", "image": "24371.png", "conversations": [ { "from": "human", "question": "Felix looked at his calendar to figure out how much time he spent babysitting each month. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n47, 49, 41, 48, 48, 44, 50\n\nFirst, arrange the numbers from least to greatest:\n\n41, 44, 47, 48, 48, 49, 50\n\nNow find the number in the middle.\n\n41, 44, 47, 48, 48, 49, 50\n\nThe number in the middle is 48.\n\nThe median is 48.", "answer": "48", "table": "**Hours of babysitting**\n\n| Month | Hours |\n| --- | --- |\n| July | 47 |\n| August | 49 |\n| September | 41 |\n| October | 48 |\n| November | 48 |\n| December | 44 |\n| January | 50 |" } ] }, { "id": "24372", "image": "24372.png", "conversations": [ { "from": "human", "question": "The town council reported on how many stop signs there are on each street. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n14, 20, 12, 17, 19\n\nFirst, find the greatest number. The greatest number is 20.\n\nNext, find the least number. The least number is 12.\n\nSubtract the least number from the greatest number:\n\n20 − 12 = 8\n\nThe range is 8.", "answer": "8", "table": "**Stop signs**\n\n| Street | Number of stop signs |\n| --- | --- |\n| Irving Street | 14 |\n| Spring Street | 20 |\n| Peabody Street | 12 |\n| Walker Street | 17 |\n| Marshall Street | 19 |" } ] }, { "id": "24375", "image": "24375.png", "conversations": [ { "from": "human", "question": "How much money does Hayley need to buy a watering can, a lawn sprinkler, and a shovel?\n" }, { "from": "gpt", "solution": "Find the total cost of a watering can, a lawn sprinkler, and a shovel.\n\n$7.13 + $9.19 + $8.63 = $24.95\n\nHayley needs $24.95.", "answer": "24.95", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| bucket | $6.41 |\n| watering can | $7.13 |\n| rake | $7.23 |\n| lawn sprinkler | $9.19 |\n| shovel | $8.63 |" } ] }, { "id": "24380", "image": "24380.png", "conversations": [ { "from": "human", "question": "For a social studies project, Savannah counted the number of classrooms in each school in the city. How many schools have at least 20 classrooms but fewer than 65 classrooms?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 2, 3, 4, and 5.\n\nIn the row with stem 6, count all the leaves less than 5.\n\nYou counted 6 leaves, which are blue in the stem-and-leaf plots above. 6 schools have at least 20 classrooms but fewer than 65 classrooms.", "answer": "6", "table": "**Classrooms per school**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 3, 5, 9 |\n| 2 | |\n| 3 | 3, 7 |\n| 4 | 9 |\n| 5 | 0, 7 |\n| 6 | 1 |\n| 7 | 9, 9 |\n| 8 | 0, 3 |" } ] }, { "id": "24388", "image": "24388.png", "conversations": [ { "from": "human", "question": "Some students compared how many pets they have. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n10, 5, 2, 2, 4, 7\n\nFirst, count how many numbers are in the group.\n\nThere are 6 numbers.\n\nNow add all the numbers together:\n\n10 + 5 + 2 + 2 + 4 + 7 = 30\n\nNow divide the sum by the number of numbers:\n\n30 ÷ 6 = 5\n\nThe mean is 5.", "answer": "5", "table": "**Pets**\n\n| Name | Number of pets |\n| --- | --- |\n| Ernest | 10 |\n| Brennan | 5 |\n| Josiah | 2 |\n| Sadie | 2 |\n| Malia | 4 |\n| Albert | 7 |" } ] }, { "id": "24390", "image": "24390.png", "conversations": [ { "from": "human", "question": "How much money does Aaron need to buy 8 yellow bath towels and 3 beach blankets?\n" }, { "from": "gpt", "solution": "Find the cost of 8 yellow bath towels.\n\n$18 × 8 = $144\n\nFind the cost of 3 beach blankets.\n\n$13 × 3 = $39\n\nNow find the total cost.\n\n$144 + $39 = $183\n\nAaron needs $183.", "answer": "183", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| yellow bath towel | $18 |\n| navy blue bath mat | $11 |\n| fleece blanket | $10 |\n| beach blanket | $13 |" } ] }, { "id": "24394", "image": "24394.png", "conversations": [ { "from": "human", "question": "Each gym locker has 2 pairs of shorts. How many pairs of shorts are in 5 gym lockers?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 10 pairs of shorts in 5 gym lockers.", "answer": "10", "table": "| Number of gym lockers | Number of pairs of shorts |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | 6 |\n| 4 | 8 |\n| 5 | ? |" } ] }, { "id": "24396", "image": "24396.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does the bus arrive at the college campus?\n" }, { "from": "gpt", "solution": "Find the college campus on the schedule. Find the arrival time for the college campus.\n\ncollege campus: 11:45 A. M.", "answer": "11:45 A.M.", "table": "**Hotel shuttle bus schedule**\n\n| Location | Arrive | Depart |\n| --- | --- | --- |\n| pizza place | 9:15 A.M. | 9:25 A.M. |\n| amusement park | 9:40 A.M. | 9:50 A.M. |\n| park | 10:25 A.M. | 10:30 A.M. |\n| train station | 10:50 A.M. | 11:05 A.M. |\n| downtown | 11:25 A.M. | 11:30 A.M. |\n| college campus | 11:45 A.M. | 11:50 A.M. |\n| shopping mall | 12:30 P.M. | 12:35 P.M. |\n| softball field | 12:40 P.M. | 12:55 P.M. |\n| football stadium | 1:00 P.M. | 1:15 P.M. |" } ] }, { "id": "24398", "image": "24398.png", "conversations": [ { "from": "human", "question": "Worried about going over his storage limit, Tommy monitored the number of undeleted voicemail messages stored on his phone each day. According to the table, what was the rate of change between Tuesday and Wednesday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{10 voicemail messages - 5 voicemail messages}{1 day}\n = \\frac{5 voicemail messages}{1 day}\n = 5 voicemail messages per day\nThe rate of change between Tuesday and Wednesday was 5 voicemail messages per day.", "answer": "5", "table": "**Voicemail messages on Tommy's phone**\n\n| Day | Voicemail messages |\n| --- | --- |\n| Tuesday | 5 |\n| Wednesday | 10 |\n| Thursday | 9 |\n| Friday | 11 |\n| Saturday | 15 |" } ] }, { "id": "24405", "image": "24405.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which class ends at 10.40 A.M.?\n" }, { "from": "gpt", "solution": "Find 10:40 A. M. on the schedule. Advanced Programming class ends at 10:40 A. M.", "answer": "Advanced Programming class", "table": "**Computer lab schedule**\n\n| Class | Begin | End |\n| --- | --- | --- |\n| Computer Graphics | 8:15 A.M. | 8:55 A.M. |\n| Computer Finance | 9:10 A.M. | 9:55 A.M. |\n| Advanced Programming | 10:10 A.M. | 10:40 A.M. |\n| Math with Computers | 10:50 A.M. | 11:55 A.M. |\n| Computer Science | 12:05 P.M. | 1:10 P.M. |\n| Spreadsheets | 1:20 P.M. | 2:40 P.M. |\n| Web Page Design | 2:50 P.M. | 3:40 P.M. |" } ] }, { "id": "24420", "image": "24420.png", "conversations": [ { "from": "human", "question": "An airline pilot recorded how many miles he flew each month. How many more miles did the pilot fly in October than in September?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nOctober: 4,189\nSeptember: 2,690\n\nNow subtract: 4,189 - 2,690 = 1,499.\n\nThe pilot flew 1,499 more miles in October.", "answer": "1,499", "table": "**Miles flown**\n\n| Month | Miles |\n| --- | --- |\n| July | 3,580 |\n| August | 7,228 |\n| September | 2,690 |\n| October | 4,189 |" } ] }, { "id": "24422", "image": "24422.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{10 - 19}{1 - 0}\n = \\frac{-9}{1}\n = -9\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{1 - 19}{2 - 0}\n = \\frac{-18}{2}\n = -9\nThe two rates of change are the same.\n9.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 0 | 19 |\n| 1 | 10 |\n| 2 | 1 |" } ] }, { "id": "24428", "image": "24428.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Josie got on the train at Middletown at 2.15 A.M. What time will she get to Westminster?\n" }, { "from": "gpt", "solution": "Find 2:15 A. M. in the row for Middletown. That column shows the schedule for the train that Josie is on.\n\nLook down the column until you find the row for Westminster.\n\nJosie will get to Westminster at 5:30 A. M.", "answer": "5:30 A.M.", "table": "**Train schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 | Column 5 | Column 6 |\n| --- | --- | --- | --- | --- | --- |\n| Bluepoint | 3:45 A.M. | 5:30 A.M. | 2:15 P.M. | 9:30 P.M. | 11:15 P.M. |\n| Castroville | 4:45 A.M. | 6:30 A.M. | 3:15 P.M. | 10:30 P.M. | 12:15 A.M. |\n| Greenpoint | 5:15 A.M. | 7:00 A.M. | 3:45 P.M. | 11:00 P.M. | 12:45 A.M. |\n| Middletown | 6:45 A.M. | 8:30 A.M. | 5:15 P.M. | 12:30 A.M. | 2:15 A.M. |\n| Springfield | 7:30 A.M. | 9:15 A.M. | 6:00 P.M. | 1:15 A.M. | 3:00 A.M. |\n| Georgetown | 9:15 A.M. | 11:00 A.M. | 7:45 P.M. | 3:00 A.M. | 4:45 A.M. |\n| Westminster | 10:00 A.M. | 11:45 A.M. | 8:30 P.M. | 3:45 A.M. | 5:30 A.M. |" } ] }, { "id": "24429", "image": "24429.png", "conversations": [ { "from": "human", "question": "How much money does Ed need to buy a hedgehog and a finch?\n" }, { "from": "gpt", "solution": "Add the price of a hedgehog and the price of a finch:\n\n$97 + $48 = $145\n\nEd needs $145.", "answer": "145", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| iguana | $52 |\n| scorpion | $19 |\n| hedgehog | $97 |\n| finch | $48 |\n| pot-bellied pig | $61 |" } ] }, { "id": "24430", "image": "24430.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which group ends at 4.30 P.M.?\n" }, { "from": "gpt", "solution": "Find 4:30 P. M. on the schedule. The hound group competition ends at 4:30 P. M.", "answer": "hound group competition", "table": "**Dog show schedule**\n\n| Group | Begin | End |\n| --- | --- | --- |\n| terrier group | 9:40 A.M. | 11:25 A.M. |\n| non-sporting group | 11:35 A.M. | 12:25 P.M. |\n| toy group | 12:40 P.M. | 2:10 P.M. |\n| hound group | 2:40 P.M. | 4:30 P.M. |\n| working group | 5:15 P.M. | 7:05 P.M. |" } ] }, { "id": "24438", "image": "24438.png", "conversations": [ { "from": "human", "question": "How much money does Brad need to buy a tiny gold bead and a shiny red bead?\n" }, { "from": "gpt", "solution": "Add the price of a tiny gold bead and the price of a shiny red bead:\n\n$0.04 + $0.03 = $0.07\n\nBrad needs $0.07.", "answer": "0.07", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| bead with green and blue swirls | $0.09 |\n| shiny red bead | $0.03 |\n| white bead with black spots | $0.09 |\n| pink striped glass bead | $0.07 |\n| tiny gold bead | $0.04 |\n| round silver bead | $0.08 |" } ] }, { "id": "24439", "image": "24439.png", "conversations": [ { "from": "human", "question": "Each aquarium has 10 yellow fish. How many yellow fish are in 4 aquariums?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 40 yellow fish in 4 aquariums.", "answer": "40", "table": "| Number of aquariums | Number of yellow fish |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | ? |" } ] }, { "id": "24440", "image": "24440.png", "conversations": [ { "from": "human", "question": "While doing a project for P. E. class, Nora researched the number of athletes competing in an international sporting event. What is the smallest number of athletes?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 2.\n\nNow find the lowest leaf in the first row. The lowest leaf is 5.\n\nThe smallest number of athletes has a stem of 2 and a leaf of 5. Write the stem first, then the leaf: 25.\n\nThe smallest number of athletes is 25 athletes.", "answer": "25", "table": "**Athletes per country**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 5, 5, 8 |\n| 3 | 3, 4, 9 |\n| 4 | 0, 2, 3, 4, 7 |\n| 5 | |\n| 6 | 2, 2, 5 |\n| 7 | |\n| 8 | 0, 1, 6, 8 |" } ] }, { "id": "24442", "image": "24442.png", "conversations": [ { "from": "human", "question": "While compiling photos for an album, Lily noted the number of photographs taken by each of her friends and family. How many people took fewer than 3 photographs?\n" }, { "from": "gpt", "solution": "Find the rows for 0, 1, and 2 photographs. Add the frequencies for these rows.\n\nAdd:\n\n13 + 6 + 3 = 22\n\n22 people took fewer than 3 photographs.", "answer": "22", "table": "**Taking photographs**\n\n| Photographs taken | Frequency |\n| --- | --- |\n| 0 | 13 |\n| 1 | 6 |\n| 2 | 3 |\n| 3 | 17 |\n| 4 | 20 |" } ] }, { "id": "24444", "image": "24444.png", "conversations": [ { "from": "human", "question": "A farm equipment company kept a record of the number of tractors made each month. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n25, 31, 21, 18, 21, 13, 18\n\nFirst, count how many numbers are in the group.\n\nThere are 7 numbers.\n\nNow add all the numbers together:\n\n25 + 31 + 21 + 18 + 21 + 13 + 18 = 147\n\nNow divide the sum by the number of numbers:\n\n147 ÷ 7 = 21\n\nThe mean is 21.", "answer": "21", "table": "**Tractors made**\n\n| Month | Number of tractors |\n| --- | --- |\n| July | 25 |\n| August | 31 |\n| September | 21 |\n| October | 18 |\n| November | 21 |\n| December | 13 |\n| January | 18 |" } ] }, { "id": "24446", "image": "24446.png", "conversations": [ { "from": "human", "question": "Emilio buys 3/5 of a pound of African rice. How much does he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the African rice. Multiply the price per pound by the number of pounds.\n$3 × \\frac{3}{5} = $3 × 0.6 = $1.80\nHe spends $1.80.", "answer": "1.80", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| African rice | $3 per lb |\n| brown rice | $4 per lb |\n| basmati rice | $6 per lb |\n| Bhutanese red rice | $7 per lb |" } ] }, { "id": "24452", "image": "24452.png", "conversations": [ { "from": "human", "question": "What is the total cost for 2 kilograms of oatmeal raisin cookie dough?\n" }, { "from": "gpt", "solution": "Find the cost of the oatmeal raisin cookie dough. Multiply the price per kilogram by the number of kilograms.\n\n$2.71 × 2 = $5.42\n\nThe total cost is $5.42.", "answer": "5.42", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| oatmeal raisin cookie dough | $2.71/kilogram |\n| gingersnap cookie dough | $3.00/kilogram |\n| peanut butter cookie dough | $1.36/kilogram |\n| chocolate chip cookie dough | $3.31/kilogram |" } ] }, { "id": "24453", "image": "24453.png", "conversations": [ { "from": "human", "question": "After a scavenger hunt, a team counted the number of pine cones found by each of its members. How many people are there in all?\n" }, { "from": "gpt", "solution": "Add the frequencies for each row.\n\nAdd:\n\n3 + 13 + 12 + 20 + 17 = 65\n\nThere are 65 people in all.", "answer": "65", "table": "**Finding pine cones**\n\n| Pine cones found | Frequency |\n| --- | --- |\n| 1 | 3 |\n| 2 | 13 |\n| 3 | 12 |\n| 4 | 20 |\n| 5 | 17 |" } ] }, { "id": "24456", "image": "24456.png", "conversations": [ { "from": "human", "question": "The staff of a game show tracked the performance of all the contestants during the past season. How many people scored exactly 43 points?\n" }, { "from": "gpt", "solution": "For the number 43, the stem is 4, and the leaf is 3. Find the row where the stem is 4. In that row, count all the leaves equal to 3.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 people scored exactly 43 points.", "answer": "3", "table": "**Game show scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 2, 3, 3, 3, 4, 5, 6 |\n| 5 | 1, 3, 5 |\n| 6 | 6, 9, 9 |\n| 7 | 0, 5, 6 |\n| 8 | 1, 1, 2, 3, 4, 4, 9 |" } ] }, { "id": "24457", "image": "24457.png", "conversations": [ { "from": "human", "question": "How much money does Ben need to buy 8 tennis tickets?\n" }, { "from": "gpt", "solution": "Find the total cost of 8 tennis tickets by multiplying 8 times the price of a tennis ticket.\n\n$42.00 × 8 = $336.00\n\nBen needs $336.00.", "answer": "336", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| basketball ticket | $71.00 |\n| tennis ticket | $42.00 |\n| golf ticket | $95.00 |\n| baseball ticket | $75.00 |" } ] }, { "id": "24460", "image": "24460.png", "conversations": [ { "from": "human", "question": "Danny kept track of how many boxes of cookies he sold over the past 4 days. On which day did Danny sell the most boxes?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 99.\n\nNow find the corresponding day. Sunday corresponds to 99.", "answer": "Sunday", "table": "**Boxes of cookies sold**\n\n| Day | Number of boxes |\n| --- | --- |\n| Friday | 91 |\n| Saturday | 92 |\n| Sunday | 99 |\n| Monday | 94 |" } ] }, { "id": "24466", "image": "24466.png", "conversations": [ { "from": "human", "question": "In trying to calculate how much money could be saved by packing lunch, Caleb recorded the amount he spent on lunch each day. According to the table, what was the rate of change between Sunday and Monday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{$8 - $3}{1 day}\n = \\frac{$5}{1 day}\n = $5 perday\nThe rate of change between Sunday and Monday was $5 perday.", "answer": "5", "table": "**Amount Caleb spent on lunch**\n\n| Day | Amount spent |\n| --- | --- |\n| Sunday | $3 |\n| Monday | $8 |\n| Tuesday | $9 |\n| Wednesday | $1 |\n| Thursday | $3 |" } ] }, { "id": "24491", "image": "24491.png", "conversations": [ { "from": "human", "question": "How much money does Zachary need to buy a pair of brown pants and a green sweatshirt?\n" }, { "from": "gpt", "solution": "Add the price of a pair of brown pants and the price of a green sweatshirt:\n\n$29.00 + $12.00 = $41.00\n\nZachary needs $41.00.", "answer": "41", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| green sweatshirt | $12.00 |\n| pair of shoes | $12.00 |\n| pair of brown pants | $29.00 |\n| red sweater | $15.00 |" } ] }, { "id": "24511", "image": "24511.png", "conversations": [ { "from": "human", "question": "Carson kept a driving log to see how many miles he drove each day. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n8, 9, 3, 7, 10\n\nFirst, find the greatest number. The greatest number is 10.\n\nNext, find the least number. The least number is 3.\n\nSubtract the least number from the greatest number:\n\n10 − 3 = 7\n\nThe range is 7.", "answer": "7", "table": "**Miles driven**\n\n| Day | Number of miles |\n| --- | --- |\n| Friday | 8 |\n| Saturday | 9 |\n| Sunday | 3 |\n| Monday | 7 |\n| Tuesday | 10 |" } ] }, { "id": "24514", "image": "24514.png", "conversations": [ { "from": "human", "question": "Mr. Khan, the band director, counted the number of instruments played by each member of the band. Which instrument do the fewest boys play?\n" }, { "from": "gpt", "solution": "Look at the numbers in the Boys column. Find the least number in this column.\n\nThe least number is 6, which is in the Clarinet row. The fewest boys play the clarinet.", "answer": "clarinet", "table": "**Band instruments**\n\n| Instrument | Girls | Boys |\n| --- | --- | --- |\n| Saxophone | 18 | 17 |\n| Clarinet | 15 | 6 |\n| Drums | 6 | 20 |\n| Flute | 19 | 18 |\n| Trumpet | 19 | 9 |" } ] }, { "id": "24521", "image": "24521.png", "conversations": [ { "from": "human", "question": "Paul is shopping for a new bicycle. He is most interested in color and type of tires. What is the probability that a randomly selected bike has road bike tires and is red? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the bike has road bike tires\" and B be the event \"the bike is red\".\nTo find the probability that a bike has road bike tires and is red, first identify the sample space and the event.\nThe outcomes in the sample space are the different bikes. Each bike is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the bike has road bike tires and is red\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the bike has road bike tires and is red\", so look at the table to see how many bikes have road bike tires and are a red.\nThe number of bikes that have road bike tires and are a red is 3.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of bikes.\n3 + 1 + 2 + 4 = 10\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{3}{10}\nThe probability that a bike has road bike tires and is red is \\frac{3}{10}.", "answer": "3/10", "table": "| | Red | Green |\n| --- | --- | --- |\n| Road bike tires | 3 | 2 |\n| Mountain bike tires | 1 | 4 |" } ] }, { "id": "24525", "image": "24525.png", "conversations": [ { "from": "human", "question": "A science teacher presented a balloon to her class, and posed the question, \"If I keep this balloon in the freezer overnight, what will occur?\" She followed up with, \"How certain are you of your answer?\" The teacher recorded her students' responses. What is the probability that a randomly selected student was uncertain and believes the balloon will shrink? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the student was uncertain\" and B be the event \"the student believes the balloon will shrink\".\nTo find the probability that a student was uncertain and believes the balloon will shrink, first identify the sample space and the event.\nThe outcomes in the sample space are the different students. Each student is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the student was uncertain and believes the balloon will shrink\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the student was uncertain and believes the balloon will shrink\", so look at the table to see how many students were uncertain and believe the balloon will shrink.\nThe number of students who were uncertain and believe the balloon will shrink is 1.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of students.\n3 + 1 + 3 + 3 = 10\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{1}{10}\nThe probability that a student was uncertain and believes the balloon will shrink is \\frac{1}{10}.", "answer": "1/10", "table": "| | Shrink | Stay the same |\n| --- | --- | --- |\n| Certain | 3 | 3 |\n| Uncertain | 1 | 3 |" } ] }, { "id": "24539", "image": "24539.png", "conversations": [ { "from": "human", "question": "A front desk clerk looked up how many guests the hotel had each day. On which day did the hotel have the most guests?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 79.\n\nNow find the corresponding day. Thursday corresponds to 79.", "answer": "Thursday", "table": "**Hotel guests**\n\n| Day | Number of guests |\n| --- | --- |\n| Thursday | 79 |\n| Friday | 71 |\n| Saturday | 75 |\n| Sunday | 76 |" } ] }, { "id": "24546", "image": "24546.png", "conversations": [ { "from": "human", "question": "How much money does Anna need to buy a wrench and 8 hammers?\n" }, { "from": "gpt", "solution": "Find the cost of 8 hammers.\n\n$18.47 × 8 = $147.76\n\nNow find the total cost.\n\n$11.14 + $147.76 = $158.90\n\nAnna needs $158.90.", "answer": "158.90", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| garden hose | $12.17 |\n| lawn mower | $93.65 |\n| hammer | $18.47 |\n| wrench | $11.14 |\n| wheelbarrow | $64.96 |" } ] }, { "id": "24549", "image": "24549.png", "conversations": [ { "from": "human", "question": "Each tray has 5 blueberry scones. How many blueberry scones are on 6 trays?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 30 blueberry scones on 6 trays.", "answer": "30", "table": "| Number of trays | Number of blueberry scones |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | 20 |\n| 5 | 25 |\n| 6 | ? |" } ] }, { "id": "24570", "image": "24570.png", "conversations": [ { "from": "human", "question": "A baseball player paid attention to how many baseballs he hit in practice each day. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n5, 3, 5, 4, 4\n\nFirst, arrange the numbers from least to greatest:\n\n3, 4, 4, 5, 5\n\nNow find the number in the middle.\n\n3, 4, 4, 5, 5\n\nThe number in the middle is 4.\n\nThe median is 4.", "answer": "4", "table": "**Baseballs hit**\n\n| Day | Number of baseballs |\n| --- | --- |\n| Tuesday | 5 |\n| Wednesday | 3 |\n| Thursday | 5 |\n| Friday | 4 |\n| Saturday | 4 |" } ] }, { "id": "24575", "image": "24575.png", "conversations": [ { "from": "human", "question": "How much more does an oil painting cost than a rug?\n" }, { "from": "gpt", "solution": "Subtract the price of a rug from the price of an oil painting.\n\n$58.00 - $39.00 = $19.00\n\nAn oil painting costs $19.00 more than a rug.", "answer": "19", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| silver coat rack | $97.00 |\n| rug | $39.00 |\n| oil painting | $58.00 |\n| chandelier | $70.00 |\n| lamp | $82.00 |\n| crystal vase | $37.00 |" } ] }, { "id": "24577", "image": "24577.png", "conversations": [ { "from": "human", "question": "A baseball player paid attention to how many baseballs he hit in practice each day. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n4, 7, 9, 8, 5, 8, 4\n\nFirst, arrange the numbers from least to greatest:\n\n4, 4, 5, 7, 8, 8, 9\n\nNow find the number in the middle.\n\n4, 4, 5, 7, 8, 8, 9\n\nThe number in the middle is 7.\n\nThe median is 7.", "answer": "7", "table": "**Baseballs hit**\n\n| Day | Number of baseballs |\n| --- | --- |\n| Tuesday | 4 |\n| Wednesday | 7 |\n| Thursday | 9 |\n| Friday | 8 |\n| Saturday | 5 |\n| Sunday | 8 |\n| Monday | 4 |" } ] }, { "id": "24579", "image": "24579.png", "conversations": [ { "from": "human", "question": "How much money does Sally need to buy a book about soccer and a book about South America?\n" }, { "from": "gpt", "solution": "Add the price of a book about soccer and the price of a book about South America:\n\n$9.00 + $5.00 = $14.00\n\nSally needs $14.00.", "answer": "14", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| book about art | $4.00 |\n| book about snakes | $7.00 |\n| book about soccer | $9.00 |\n| book about cars | $1.00 |\n| book about South America | $5.00 |" } ] }, { "id": "24583", "image": "24583.png", "conversations": [ { "from": "human", "question": "How much would it cost to buy 0.6 pounds of cement?\n" }, { "from": "gpt", "solution": "Find the cost of the cement. Multiply the price per pound by the number of pounds.\n$3 × 0.6 = $1.80\nIt would cost $1.80.", "answer": "1.80", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| bark | $4/pound |\n| dirt | $3/pound |\n| sawdust | $2/pound |\n| cement | $3/pound |\n| mulch | $5/pound |\n| sand | $3/pound |" } ] }, { "id": "24590", "image": "24590.png", "conversations": [ { "from": "human", "question": "How much money does Kelly need to buy 5 chandeliers and 3 oil paintings?\n" }, { "from": "gpt", "solution": "Find the cost of 5 chandeliers.\n\n$143 × 5 = $715\n\nFind the cost of 3 oil paintings.\n\n$681 × 3 = $2,043\n\nNow find the total cost.\n\n$715 + $2,043 = $2,758\n\nKelly needs $2,758.", "answer": "2,758", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| rug | $276 |\n| chandelier | $143 |\n| silver coat rack | $791 |\n| oil painting | $681 |" } ] }, { "id": "24592", "image": "24592.png", "conversations": [ { "from": "human", "question": "Darnel looked at his calendar to figure out how much time he spent babysitting each month. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n93, 84, 87, 86, 89, 83, 96\n\nFirst, arrange the numbers from least to greatest:\n\n83, 84, 86, 87, 89, 93, 96\n\nNow find the number in the middle.\n\n83, 84, 86, 87, 89, 93, 96\n\nThe number in the middle is 87.\n\nThe median is 87.", "answer": "87", "table": "**Hours of babysitting**\n\n| Month | Hours |\n| --- | --- |\n| August | 93 |\n| September | 84 |\n| October | 87 |\n| November | 86 |\n| December | 89 |\n| January | 83 |\n| February | 96 |" } ] }, { "id": "24597", "image": "24597.png", "conversations": [ { "from": "human", "question": "To get a rough estimate of her melon farm's profits for the year, Haley decided to look at some data about melon prices in the past. In 1996, how much more did a container of cantaloupes cost than a container of watermelons?\n" }, { "from": "gpt", "solution": "Find the 1996 column. Find the numbers in this column for cantaloupes and watermelons.\n\ncantaloupes: $8.00\nwatermelons: $3.00\n\nNow subtract:\n\n$8.00 − $3.00 = $5.00\n\nIn 1996, a container of cantaloupes cost $5 more than a container of watermelons.", "answer": "5", "table": "**Melon price per container**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Kind of melon | 1995 | 1996 |\n| Honeydews | $10 | $7 |\n| Cantaloupes | $7 | $8 |\n| Watermelons | $5 | $3 |" } ] }, { "id": "24602", "image": "24602.png", "conversations": [ { "from": "human", "question": "In science class, Martha is learning about places with extreme temperatures. She learns that the highest temperature ever recorded was in Death Valley, California. She also learns that the lowest temperature ever recorded was in Vostok Station, Antarctica. The record-setting temperatures of the two locations are shown in the table. Which location's temperature was further from zero?\n" }, { "from": "gpt", "solution": "A positive number means the temperature was above zero. A negative number means the temperature was below zero.\nTo find which temperature was further from zero, use absolute value. Absolute value tells you how far a temperature is from zero.\nDeath Valley: |134| = 134\nVostok Station: |-128| = 128\nThe temperature of Death Valley was further from zero. It was 134 degrees above zero.", "answer": "Death Valley", "table": "| Location | Temperature (°F) |\n| --- | --- |\n| Death Valley | 134 |\n| Vostok Station | -128 |" } ] }, { "id": "24604", "image": "24604.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{7 - 8}{8 - 7}\n = \\frac{-1}{1}\n = -1\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{3 - 8}{9 - 7}\n = \\frac{-5}{2}\n = -2\\frac{1}{2}\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 7 | 8 |\n| 8 | 7 |\n| 9 | 3 |" } ] }, { "id": "24614", "image": "24614.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does the Tigers versus Wolves game end?\n" }, { "from": "gpt", "solution": "Find the Tigers versus Wolves game on the schedule. Find the end time for the Tigers versus Wolves game.\n\nTigers versus Wolves: 2:40 P. M.", "answer": "2:40 P.M.", "table": "**Soccer tournament schedule**\n\n| Game | Begin | End |\n| --- | --- | --- |\n| Fire versus Blizzard | 10:10 A.M. | 11:40 A.M. |\n| Lightning versus Coyotes | 10:50 A.M. | 12:20 P.M. |\n| Hawks versus Jaguars | 12:05 P.M. | 1:35 P.M. |\n| Cardinals versus Cobras | 12:55 P.M. | 2:25 P.M. |\n| Tigers versus Wolves | 1:10 P.M. | 2:40 P.M. |" } ] }, { "id": "24618", "image": "24618.png", "conversations": [ { "from": "human", "question": "How much more does a cockatiel cost than a parrot?\n" }, { "from": "gpt", "solution": "Subtract the price of a parrot from the price of a cockatiel.\n\n$815.00 - $425.00 = $390.00\n\nA cockatiel costs $390.00 more than a parrot.", "answer": "390", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| parrot | $425.00 |\n| cockatiel | $815.00 |\n| tortoise | $563.00 |\n| python | $913.00 |\n| boa constrictor | $896.00 |" } ] }, { "id": "24620", "image": "24620.png", "conversations": [ { "from": "human", "question": "A city monitored how many cars went through a certain intersection in the past 3 days. How many more cars went through the intersection on Sunday than on Monday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nSunday: 4,763\nMonday: 2,713\n\nNow subtract: 4,763 - 2,713 = 2,050.\n\n2,050 more cars went through the intersection on Sunday.", "answer": "2,050", "table": "**Cars at an intersection**\n\n| Day | Number of cars |\n| --- | --- |\n| Saturday | 7,483 |\n| Sunday | 4,763 |\n| Monday | 2,713 |" } ] }, { "id": "24628", "image": "24628.png", "conversations": [ { "from": "human", "question": "Each tool box has 10 nails. How many nails are in 3 tool boxes?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 30 nails in 3 tool boxes.", "answer": "30", "table": "| Number of tool boxes | Number of nails |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | ? |" } ] }, { "id": "24632", "image": "24632.png", "conversations": [ { "from": "human", "question": "The board of commerce gave a survey to determine how many employees work at each company. How many employees work at Wakefield and Watson and Township Real Estate combined?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nWakefield and Watson: 467\nTownship Real Estate: 167\n\nNow add: 467 + 167 = 634.\n\n634 employees work at Wakefield and Watson and Township Real Estate combined.", "answer": "634", "table": "**Company sizes**\n\n| Company | Number of employees |\n| --- | --- |\n| Smith Electronics | 394 |\n| Wakefield and Watson | 467 |\n| Township Real Estate | 167 |" } ] }, { "id": "24633", "image": "24633.png", "conversations": [ { "from": "human", "question": "An administrator at the Department of Motor Vehicles (DMV) tracked the average wait time from month to month. According to the table, what was the rate of change between August and September?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{9 minutes - 20 minutes}{1 month}\n = \\frac{-11 minutes}{1 month}\n = -11 minutes per month\nThe rate of change between August and September was - 11 minutes per month.", "answer": "-11", "table": "**Average waiting time at the DMV**\n\n| Month | Waiting time (minutes) |\n| --- | --- |\n| June | 22 |\n| July | 6 |\n| August | 20 |\n| September | 9 |\n| October | 9 |" } ] }, { "id": "24635", "image": "24635.png", "conversations": [ { "from": "human", "question": "Zane has $0.11. Does he have enough to buy a wooden block and a green bouncy ball?\n" }, { "from": "gpt", "solution": "Add the price of a wooden block and the price of a green bouncy ball:\n\n$0.06 + $0.06 = $0.12\n\n$0.12 is more than $0.11. Zane does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| wooden block | $0.06 |\n| green marble | $0.04 |\n| red kazoo | $0.06 |\n| shapes stencil | $0.05 |\n| green bouncy ball | $0.06 |" } ] }, { "id": "24636", "image": "24636.png", "conversations": [ { "from": "human", "question": "Brian wants to buy 1.2 pounds of Yukon Gold potatoes. How much will he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the Yukon Gold potatoes. Multiply the price per pound by the number of pounds.\n$2 × 1.2 = $2.40\nHe will spend $2.40.", "answer": "2.40", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| King Edward potatoes | $4 per pound |\n| Russet Burbank potatoes | $2 per pound |\n| Yukon Gold potatoes | $2 per pound |\n| Rooster potatoes | $1 per pound |\n| Red Pontiac potatoes | $1 per pound |" } ] }, { "id": "24642", "image": "24642.png", "conversations": [ { "from": "human", "question": "The owner of a plant nursery wrote down the number of roses on each bush. How many bushes have fewer than 92 roses?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 3, 4, 5, 6, 7, and 8.\n\nIn the row with stem 9, count all the leaves less than 2.\n\nYou counted 14 leaves, which are blue in the stem-and-leaf plots above. 14 bushes have fewer than 92 roses.", "answer": "14", "table": "**Roses per bush**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 1, 2, 4, 6 |\n| 4 | 7 |\n| 5 | 3, 4 |\n| 6 | 4, 7 |\n| 7 | 1, 6 |\n| 8 | 1, 9 |\n| 9 | 0 |" } ] }, { "id": "24645", "image": "24645.png", "conversations": [ { "from": "human", "question": "Kayla measured the length of each scarf in the clothing store where she works. What is the length of the largest scarf?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 9.\n\nNow find the highest leaf in the last row. The highest leaf is 0.\n\nThe length of the largest scarf has a stem of 9 and a leaf of 0. Write the stem first, then the leaf: 90.\n\nThe length of the largest scarf is 90 centimeters.", "answer": "90", "table": "**Scarf lengths (centimeters)**\n\n| Stem | Leaf |\n| --- | --- |\n| 6 | 9 |\n| 7 | 1, 1, 2, 3, 4, 5, 8 |\n| 8 | 0, 0, 2, 4, 5, 6, 6, 7, 7, 7, 8, 9 |\n| 9 | 0, 0 |" } ] }, { "id": "24648", "image": "24648.png", "conversations": [ { "from": "human", "question": "Mrs. Serrano hosts an annual art contest for kids, and she keeps a record of the number of entries each year. According to the table, what was the rate of change between 2015 and 2016?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{23 entries - 37 entries}{2016 - 2015}\n = \\frac{23 entries - 37 entries}{1 year}\n = \\frac{-14 entries}{1 year}\n = -14 entries per year\nThe rate of change between 2015 and 2016 was - 14 entries per year.", "answer": "-14", "table": "**Art contest entries**\n\n| Year | Number of entries |\n| --- | --- |\n| 2012 | 27 |\n| 2013 | 25 |\n| 2014 | 22 |\n| 2015 | 37 |\n| 2016 | 23 |" } ] }, { "id": "24653", "image": "24653.png", "conversations": [ { "from": "human", "question": "Brenda went to the store and bought 1 pound of Spanish olives. How much did she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the Spanish olives. Multiply the price per pound by the number of pounds.\n\n$4 × 1 = $4\n\nShe spent $4.", "answer": "4", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| Kalamata olives | $7/pound |\n| Spanish olives | $4/pound |\n| Greek olives | $3/pound |\n| pimento olives | $6/pound |\n| green olives | $5/pound |" } ] }, { "id": "24659", "image": "24659.png", "conversations": [ { "from": "human", "question": "During Fitness Day at school, Gordon and his classmates took part in a pull-up competition, keeping track of the results. How many people did fewer than 80 pull-ups?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 3, 4, 5, 6, and 7.\n\nYou counted 17 leaves, which are blue in the stem-and-leaf plot above. 17 people did fewer than 80 pull-ups.", "answer": "17", "table": "**Pull-up competition (number of pull-ups)**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 0, 4, 4 |\n| 4 | 3, 4, 7, 8 |\n| 5 | 0, 1, 1, 5, 6 |\n| 6 | |\n| 7 | 0, 1, 4, 5, 5 |\n| 8 | 0, 0, 1, 6, 6, 7 |\n| 9 | 0 |" } ] }, { "id": "24663", "image": "24663.png", "conversations": [ { "from": "human", "question": "A newspaper researched how many grocery stores there are in each town. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 7, 10, 9, 10, 10\n\nFirst, arrange the numbers from least to greatest:\n\n7, 7, 9, 10, 10, 10\n\nNow count how many times each number appears.\n\n7 appears 2 times.\n9 appears 1 time.\n10 appears 3 times.\n\nThe number that appears most often is 10.\n\nThe mode is 10.", "answer": "10", "table": "**Grocery stores in each town**\n\n| Town | Number of stores |\n| --- | --- |\n| Riverside | 7 |\n| Greenwood | 7 |\n| Columbia | 10 |\n| Watertown | 9 |\n| Marion | 10 |\n| Salem | 10 |" } ] }, { "id": "24678", "image": "24678.png", "conversations": [ { "from": "human", "question": "A recycling center kept a log of how many glass bottles were recycled in the past 3 days. How many more glass bottles did the center recycle on Saturday than on Sunday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nSaturday: 4,687\nSunday: 2,154\n\nNow subtract: 4,687 - 2,154 = 2,533.\n\nThe center recycled 2,533 more glass bottles on Saturday.", "answer": "2,533", "table": "**Bottles recycled**\n\n| Day | Number of bottles |\n| --- | --- |\n| Friday | 6,276 |\n| Saturday | 4,687 |\n| Sunday | 2,154 |" } ] }, { "id": "24680", "image": "24680.png", "conversations": [ { "from": "human", "question": "While looking through an almanac at the library, Roy noticed some data showing the population density of various states. In 1990, how many more people per square mile lived in Idaho than in Wyoming?\n" }, { "from": "gpt", "solution": "Find the 1990 column. Find the numbers in this column for Idaho and Wyoming.\n\nIdaho: 12\nWyoming: 4\n\nNow subtract:\n\n12 − 4 = 8\n\nIn 1990, 8 more people per square mile lived in Idaho than in Wyoming.", "answer": "8", "table": "**Population per square mile**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| State | 1990 | 2000 |\n| Wyoming | 4 | 5 |\n| New Mexico | 12 | 15 |\n| South Dakota | 9 | 10 |\n| Nevada | 10 | 18 |\n| Idaho | 12 | 15 |" } ] }, { "id": "24688", "image": "24688.png", "conversations": [ { "from": "human", "question": "A stock broker followed the stock prices of a certain set of companies. On Thursday, how much more did Computer Data Company's stock cost than Watson and Partners's stock?\n" }, { "from": "gpt", "solution": "Find the Thursday column. Find the numbers in this column for Computer Data Company and Watson and Partners.\n\nComputer Data Company: $11.00\nWatson and Partners: $8.00\n\nNow subtract:\n\n$11.00 − $8.00 = $3.00\n\nOn Thursday Computer Data Company's stock cost $3 more than Watson and Partners's stock.", "answer": "3", "table": "**Stock prices**\n\n| Company | Wednesday | Thursday |\n| --- | --- | --- |\n| Watson and Partners | $14 | $8 |\n| Computer Data Company | $14 | $11 |\n| White and Company | $13 | $15 |" } ] }, { "id": "24695", "image": "24695.png", "conversations": [ { "from": "human", "question": "A county agency recorded the money donated to several charitable causes over time. In June, which cause raised the most money?\n" }, { "from": "gpt", "solution": "Look at the numbers in the June column. Find the greatest number in this column.\n\nThe greatest number is $13.00, which is in the Animals row. In June, the most money was raised for animals.", "answer": "animals", "table": "**Donations received**\n\n| Cause | May | June |\n| --- | --- | --- |\n| Animals | $10 | $13 |\n| Hunger | $4 | $7 |\n| Medical research | $20 | $7 |" } ] }, { "id": "24698", "image": "24698.png", "conversations": [ { "from": "human", "question": "The movie critic liked to count the number of actors in each movie he saw. How many movies had exactly 31 actors?\n" }, { "from": "gpt", "solution": "For the number 31, the stem is 3, and the leaf is 1. Find the row where the stem is 3. In that row, count all the leaves equal to 1.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 movies had exactly 31 actors.", "answer": "4", "table": "**Actors per movie**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 7, 8 |\n| 2 | 4 |\n| 3 | 1, 1, 1, 1 |\n| 4 | 3 |\n| 5 | 7 |\n| 6 | 3 |\n| 7 | 0, 2, 5 |\n| 8 | 5 |\n| 9 | 0 |" } ] }, { "id": "24701", "image": "24701.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. At which stop does the bus arrive at 12.10 P.M.?\n" }, { "from": "gpt", "solution": "Find 12:10 P. M. on the schedule. The bus arrives at the playground at 12:10 P. M.", "answer": "playground", "table": "**Bus schedule**\n\n| Location | Time |\n| --- | --- |\n| the library | 10:15 A.M. |\n| the mall | 11:00 A.M. |\n| the movie theater | 11:40 A.M. |\n| the playground | 12:10 P.M. |\n| the doctor's office | 12:50 P.M. |\n| the grocery store | 1:40 P.M. |" } ] }, { "id": "24712", "image": "24712.png", "conversations": [ { "from": "human", "question": "How much money does Candice need to buy 3 white washcloths?\n" }, { "from": "gpt", "solution": "Find the total cost of 3 white washcloths by multiplying 3 times the price of a white washcloth.\n\n$2.63 × 3 = $7.89\n\nCandice needs $7.89.", "answer": "7.89", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| yellow bath towel | $9.51 |\n| beach blanket | $7.61 |\n| white washcloth | $2.63 |\n| pillow | $7.14 |\n| beach towel | $5.37 |" } ] }, { "id": "24714", "image": "24714.png", "conversations": [ { "from": "human", "question": "A real estate agent tracked the number of homes recently sold in each of the nearby cities she served. In 2005, which city had the fewest home sales?\n" }, { "from": "gpt", "solution": "Look at the numbers in the 2005 column. Find the least number in this column.\n\nThe least number is 10, which is in the Charles Falls row. In 2005, Charles Falls had the fewest home sales.", "answer": "Charles Falls", "table": "**Homes sold**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| City | 2005 | 2006 |\n| Melville | 20 | 20 |\n| Pleasant Town | 12 | 13 |\n| Charles Falls | 10 | 16 |\n| Fremont | 15 | 17 |\n| Center City | 14 | 20 |" } ] }, { "id": "24715", "image": "24715.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which activity begins at 10.30 A.M.?\n" }, { "from": "gpt", "solution": "Find 10:30 A. M. on the schedule. Archery class begins at 10:30 A. M.", "answer": "archery class", "table": "**Camp schedule**\n\n| Activity | Begin | End |\n| --- | --- | --- |\n| quiet time | 6:25 A.M. | 7:15 A.M. |\n| tennis | 7:20 A.M. | 9:00 A.M. |\n| singing | 9:05 A.M. | 10:25 A.M. |\n| archery | 10:30 A.M. | 11:35 A.M. |\n| canoeing | 11:45 A.M. | 12:40 P.M. |\n| kickball | 12:50 P.M. | 2:30 P.M. |\n| snack time | 2:35 P.M. | 3:40 P.M. |" } ] }, { "id": "24717", "image": "24717.png", "conversations": [ { "from": "human", "question": "Some students compared how many clubs they belong to. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 3, 9, 10, 1, 2, 8\n\nFirst, count how many numbers are in the group.\n\nThere are 7 numbers.\n\nNow add all the numbers together:\n\n9 + 3 + 9 + 10 + 1 + 2 + 8 = 42\n\nNow divide the sum by the number of numbers:\n\n42 ÷ 7 = 6\n\nThe mean is 6.", "answer": "6", "table": "**Clubs**\n\n| Name | Number of clubs |\n| --- | --- |\n| Maria | 9 |\n| Vince | 3 |\n| Brody | 9 |\n| Omar | 10 |\n| Edmond | 1 |\n| Wesley | 2 |\n| Kayla | 8 |" } ] }, { "id": "24718", "image": "24718.png", "conversations": [ { "from": "human", "question": "A transportation analyst compared various bridges' tolls. How much is the toll for a car on the Hatem bridge?\n" }, { "from": "gpt", "solution": "First, find the row for Hatem. Then find the number in the Car column.\n\nThis number is $5.00. On the Hatem bridge, the toll for a car is $5.", "answer": "5", "table": "**Bridge tolls**\n\n| Bridge | Truck | Car |\n| --- | --- | --- |\n| Hatem | $10 | $5 |\n| Golden Gate | $7 | $6 |\n| San Mateo | $6 | $4 |\n| Fort Madison | $4 | $1 |" } ] }, { "id": "24720", "image": "24720.png", "conversations": [ { "from": "human", "question": "Vijay has $105.00. Does he have enough to buy a computer keyboard and a television?\n" }, { "from": "gpt", "solution": "Add the price of a computer keyboard and the price of a television:\n\n$35.00 + $76.00 = $111.00\n\n$111.00 is more than $105.00. Vijay does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| toaster | $35.00 |\n| television | $76.00 |\n| camera | $90.00 |\n| computer keyboard | $35.00 |\n| telephone | $49.00 |\n| radio | $27.00 |" } ] }, { "id": "24727", "image": "24727.png", "conversations": [ { "from": "human", "question": "In science class, Amanda is learning about places with extreme temperatures. She learns that the highest temperature ever recorded was in Death Valley, California. She also learns that the lowest temperature ever recorded was in Vostok Station, Antarctica. The record-setting temperatures of the two locations are shown in the table. Which location's temperature was further from zero?\n" }, { "from": "gpt", "solution": "A positive number means the temperature was above zero. A negative number means the temperature was below zero.\nTo find which temperature was further from zero, use absolute value. Absolute value tells you how far a temperature is from zero.\nDeath Valley: |134| = 134\nVostok Station: |-128| = 128\nThe temperature of Death Valley was further from zero. It was 134 degrees above zero.", "answer": "Death Valley", "table": "| Location | Temperature (°F) |\n| --- | --- |\n| Death Valley | 134 |\n| Vostok Station | -128 |" } ] }, { "id": "24729", "image": "24729.png", "conversations": [ { "from": "human", "question": "An architecture student measured the heights of all the buildings downtown. What is the height of the shortest building?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 1.\n\nNow find the lowest leaf in the first row. The lowest leaf is 7.\n\nThe height of the shortest building has a stem of 1 and a leaf of 7. Write the stem first, then the leaf: 17.\n\nThe height of the shortest building is 17 meters tall.", "answer": "17", "table": "**Building heights (meters)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 7 |\n| 2 | 0, 0, 7, 8 |\n| 3 | 1, 3 |\n| 4 | 1, 9 |\n| 5 | 5 |\n| 6 | 0, 2 |\n| 7 | |\n| 8 | 2, 6, 8, 8, 9, 9, 9 |" } ] }, { "id": "24731", "image": "24731.png", "conversations": [ { "from": "human", "question": "How much would it cost to buy 1.6 pounds of puffed rice?\n" }, { "from": "gpt", "solution": "Find the cost of the puffed rice. Multiply the price per pound by the number of pounds.\n$6 × 1.6 = $9.60\nIt would cost $9.60.", "answer": "9.60", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| shredded wheat | $2 per pound |\n| granola | $5 per pound |\n| puffed rice | $6 per pound |\n| bran flakes | $4 per pound |" } ] }, { "id": "24732", "image": "24732.png", "conversations": [ { "from": "human", "question": "Jon graphed the daily high temperature for 4 days. Which day had the highest temperature?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 18.\n\nNow find the corresponding day. Sunday corresponds to 18.", "answer": "Sunday", "table": "**Daily high temperature**\n\n| Day | Temperature (°C) |\n| --- | --- |\n| Sunday | 18 |\n| Monday | 16 |\n| Tuesday | 17 |\n| Wednesday | 10 |" } ] }, { "id": "24756", "image": "24756.png", "conversations": [ { "from": "human", "question": "Some teachers compared how many years they have been teaching. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n5, 6, 6, 8, 2, 3\n\nFirst, count how many numbers are in the group.\n\nThere are 6 numbers.\n\nNow add all the numbers together:\n\n5 + 6 + 6 + 8 + 2 + 3 = 30\n\nNow divide the sum by the number of numbers:\n\n30 ÷ 6 = 5\n\nThe mean is 5.", "answer": "5", "table": "**Years of teaching**\n\n| Teacher | Number of years |\n| --- | --- |\n| Miss Watson | 5 |\n| Miss Torres | 6 |\n| Mr. Boone | 6 |\n| Mr. Park | 8 |\n| Mr. Gutierrez | 2 |\n| Mrs. Ramirez | 3 |" } ] }, { "id": "24757", "image": "24757.png", "conversations": [ { "from": "human", "question": "How much money does Trent need to buy a shell necklace and a pink flamingo pen?\n" }, { "from": "gpt", "solution": "Add the price of a shell necklace and the price of a pink flamingo pen:\n\n$0.87 + $0.38 = $1.25\n\nTrent needs $1.25.", "answer": "1.25", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| picture of a shark | $0.25 |\n| shell necklace | $0.87 |\n| pink flamingo pen | $0.38 |\n| souvenir spoon | $0.97 |\n| souvenir cup | $0.56 |" } ] }, { "id": "24769", "image": "24769.png", "conversations": [ { "from": "human", "question": "Jessica tracked the attendance at the school play. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n47, 64, 57, 74, 71, 61, 63\n\nFirst, arrange the numbers from least to greatest:\n\n47, 57, 61, 63, 64, 71, 74\n\nNow find the number in the middle.\n\n47, 57, 61, 63, 64, 71, 74\n\nThe number in the middle is 63.\n\nThe median is 63.", "answer": "63", "table": "**Tickets sold**\n\n| Day | Number of tickets |\n| --- | --- |\n| Friday | 47 |\n| Saturday | 64 |\n| Sunday | 57 |\n| Monday | 74 |\n| Tuesday | 71 |\n| Wednesday | 61 |\n| Thursday | 63 |" } ] }, { "id": "24772", "image": "24772.png", "conversations": [ { "from": "human", "question": "A food magazine published a listing of local restaurant ratings. How many restaurants were rated at least 18 points but fewer than 42 points?\n" }, { "from": "gpt", "solution": "Find the row with stem 1. Count all the leaves greater than or equal to 8.\n\nCount all the leaves in the rows with stems 2 and 3.\n\nIn the row with stem 4, count all the leaves less than 2.\n\nYou counted 9 leaves, which are blue in the stem-and-leaf plots above. 9 restaurants were rated at least 18 points but fewer than 42 points.", "answer": "9", "table": "**Restaurant ratings**\n\n| Stem | Leaf |\n| --- | --- |\n| 0 | 3, 3, 9, 9 |\n| 1 | 3 |\n| 2 | 3, 3, 5, 7, 9 |\n| 3 | 0, 1, 7, 8 |\n| 4 | 2, 2, 4 |\n| 5 | 0 |" } ] }, { "id": "24776", "image": "24776.png", "conversations": [ { "from": "human", "question": "Leroy kept track of how long it took to finish his homework each day. According to the table, what was the rate of change between Thursday and Friday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{45 minutes - 47 minutes}{1 day}\n = \\frac{-2 minutes}{1 day}\n = -2 minutes per day\nThe rate of change between Thursday and Friday was - 2 minutes per day.", "answer": "-2", "table": "**Time Leroy spent on homework**\n\n| Day | Minutes |\n| --- | --- |\n| Tuesday | 45 |\n| Wednesday | 43 |\n| Thursday | 47 |\n| Friday | 45 |\n| Saturday | 38 |" } ] }, { "id": "24781", "image": "24781.png", "conversations": [ { "from": "human", "question": "In order to complete their model of a futuristic highway, students in Ms. Laura's design class find out how many toy cars each student can bring to class. How many students in the class have exactly 2 toy cars?\n" }, { "from": "gpt", "solution": "Find the row for 2 toy cars and read the frequency. The frequency is 9.\n\n9 students have exactly2 toy cars.", "answer": "9", "table": "**Toy cars**\n\n| Number of toy cars | Frequency |\n| --- | --- |\n| 0 | 0 |\n| 1 | 7 |\n| 2 | 9 |\n| 3 | 16 |\n| 4 | 2 |" } ] }, { "id": "24782", "image": "24782.png", "conversations": [ { "from": "human", "question": "How much money does Adam need to buy 4 star-shaped silver beads?\n" }, { "from": "gpt", "solution": "Find the total cost of 4 star-shaped silver beads by multiplying 4 times the price of a star-shaped silver bead.\n\n$0.20 × 4 = $0.80\n\nAdam needs $0.80.", "answer": "0.80", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| orange and yellow striped bead | $0.95 |\n| large wooden bead | $0.70 |\n| star-shaped silver bead | $0.20 |\n| green emerald bead | $0.98 |\n| purple and red clay bead | $0.96 |" } ] }, { "id": "24786", "image": "24786.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which activity ends at 3.50 P.M.?\n" }, { "from": "gpt", "solution": "Find 3:50 P. M. on the schedule. Lap swim ends at 3:50 P. M.", "answer": "lap swim", "table": "**Swimming pool schedule**\n\n| Activity | Begin | End |\n| --- | --- | --- |\n| diving club practice | 8:50 A.M. | 9:20 A.M. |\n| water polo practice | 9:30 A.M. | 11:05 A.M. |\n| water aerobics | 11:20 A.M. | 12:50 P.M. |\n| intermediate swimming class | 1:00 P.M. | 2:20 P.M. |\n| lap swim | 2:25 P.M. | 3:50 P.M. |" } ] }, { "id": "24793", "image": "24793.png", "conversations": [ { "from": "human", "question": "Joseph looked at his calendar to see how many hours he had worked in the past 6 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n0, 2, 0, 6, 0, 5\n\nFirst, find the greatest number. The greatest number is 6.\n\nNext, find the least number. The least number is 0.\n\nSubtract the least number from the greatest number:\n\n6 − 0 = 6\n\nThe range is 6.", "answer": "6", "table": "**Hours worked**\n\n| Day | Hours |\n| --- | --- |\n| Monday | 0 |\n| Tuesday | 2 |\n| Wednesday | 0 |\n| Thursday | 6 |\n| Friday | 0 |\n| Saturday | 5 |" } ] }, { "id": "24809", "image": "24809.png", "conversations": [ { "from": "human", "question": "How much would it cost to buy 1 pound of pistachios?\n" }, { "from": "gpt", "solution": "Find the cost of the pistachios. Multiply the price per pound by the number of pounds.\n\n$7.93 × 1 = $7.93\n\nIt would cost $7.93.", "answer": "7.93", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pistachios | $7.93 per pound |\n| peanuts | $9.59 per pound |\n| macadamia nuts | $6.68 per pound |\n| chestnuts | $4.11 per pound |" } ] }, { "id": "24812", "image": "24812.png", "conversations": [ { "from": "human", "question": "A dentist was making note of her upcoming appointments with different aged patients and the reasons for their visits. What is the probability that a randomly selected appointment is with patients 19-60 years old and is for a regular cleaning? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the appointment is with patients 19-60 years old\" and B be the event \"the appointment is for a regular cleaning\".\nTo find the probability that a appointment is with patients 19-60 years old and is for a regular cleaning, first identify the sample space and the event.\nThe outcomes in the sample space are the different appointments. Each appointment is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the appointment is with patients 19-60 years old and is for a regular cleaning\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the appointment is with patients 19-60 years old and is for a regular cleaning\", so look at the table to see how many appointments are with patients 19-60 years old and are for a regular cleaning.\nThe number of appointments that are with patients 19-60 years old and are for a regular cleaning is 3.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of appointments.\n3 + 3 + 6 + 6 = 18\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{3}{18}\n = \\frac{1}{6}\nThe probability that a appointment is with patients 19-60 years old and is for a regular cleaning is \\frac{1}{6}.", "answer": "1/6", "table": "| | Regular cleaning | Broken tooth |\n| --- | --- | --- |\n| Patients under 18 years old | 3 | 6 |\n| Patients 19-60 years old | 3 | 6 |" } ] }, { "id": "24820", "image": "24820.png", "conversations": [ { "from": "human", "question": "Nina has $1.00. Does she have enough to buy a beach postcard and a souvenir cup?\n" }, { "from": "gpt", "solution": "Add the price of a beach postcard and the price of a souvenir cup:\n\n$0.55 + $0.37 = $0.92\n\n$0.92 is less than $1.00. Nina does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| palm tree magnet | $0.43 |\n| pink flamingo pen | $0.56 |\n| pin with a picture of the beach | $0.97 |\n| beach postcard | $0.55 |\n| souvenir cup | $0.37 |\n| picture of a shark | $0.27 |" } ] }, { "id": "24826", "image": "24826.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{10 - 7}{11 - 10}\n = \\frac{3}{1}\n = 3\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{13 - 7}{12 - 10}\n = \\frac{6}{2}\n = 3\nThe two rates of change are the same.\nIf you checked the rate of change between rows 2 and 3, you would find that it is also 3.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 10 | 7 |\n| 11 | 10 |\n| 12 | 13 |" } ] }, { "id": "24827", "image": "24827.png", "conversations": [ { "from": "human", "question": "Each bouquet has 2 sunflowers. How many sunflowers are in 4 bouquets?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 8 sunflowers in 4 bouquets.", "answer": "8", "table": "| Number of bouquets | Number of sunflowers |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | 6 |\n| 4 | ? |" } ] }, { "id": "24829", "image": "24829.png", "conversations": [ { "from": "human", "question": "How much more does a DVD player cost than a camera?\n" }, { "from": "gpt", "solution": "Subtract the price of a camera from the price of a DVD player.\n\n$61.27 - $34.34 = $26.93\n\nA DVD player costs $26.93 more than a camera.", "answer": "26.93", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| DVD player | $61.27 |\n| computer mouse | $16.41 |\n| toaster | $33.15 |\n| camera | $34.34 |" } ] }, { "id": "24830", "image": "24830.png", "conversations": [ { "from": "human", "question": "Anna kept a driving log to see how many miles she drove each day. On which day did Anna drive the fewest miles?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 62.\n\nNow find the corresponding day. Tuesday corresponds to 62.", "answer": "Tuesday", "table": "**Miles driven**\n\n| Day | Number of miles |\n| --- | --- |\n| Tuesday | 62 |\n| Wednesday | 69 |\n| Thursday | 64 |\n| Friday | 67 |" } ] }, { "id": "24833", "image": "24833.png", "conversations": [ { "from": "human", "question": "A veterinarian weighed all the dogs that visited his office last month. How many dogs weighed less than 89 pounds?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 3, 4, 5, 6, and 7.\n\nIn the row with stem 8, count all the leaves less than 9.\n\nYou counted 16 leaves, which are blue in the stem-and-leaf plots above. 16 dogs weighed less than 89 pounds.", "answer": "16", "table": "**Dogs' weights (lbs)**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 0, 0, 0, 2, 3, 8, 9 |\n| 4 | |\n| 5 | 1 |\n| 6 | 9 |\n| 7 | 0, 0, 0, 9 |\n| 8 | 0, 1, 5 |" } ] }, { "id": "24836", "image": "24836.png", "conversations": [ { "from": "human", "question": "A math textbook explains probability by showing a set of cards numbered 4 through 9 and showing the number of people who might draw each card. How many people drew a number less than 8?\n" }, { "from": "gpt", "solution": "Find the rows for 4, 5, 6, and 7. Add the frequencies for these rows.\n\nAdd:\n\n1 + 9 + 2 + 14 = 26\n\n26 people drew a number less than 8.", "answer": "26", "table": "**Drawing a card between 4 and 9**\n\n| Number drawn | Frequency |\n| --- | --- |\n| 4 | 1 |\n| 5 | 9 |\n| 6 | 2 |\n| 7 | 14 |\n| 8 | 19 |\n| 9 | 8 |" } ] }, { "id": "24837", "image": "24837.png", "conversations": [ { "from": "human", "question": "Bella has $1.71. How much money will Bella have left if she buys a colorful pinwheel and a wooden block?\n" }, { "from": "gpt", "solution": "Find the total cost of a colorful pinwheel and a wooden block.\n\n$0.25 + $0.89 = $1.14\n\nNow subtract the total cost from the starting amount.\n\n$1.71 - $1.14 = $0.57\n\nBella will have $0.57 left.", "answer": "0.57", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| wooden block | $0.89 |\n| small teddy bear | $0.29 |\n| rubber duck | $0.30 |\n| colorful pinwheel | $0.25 |" } ] }, { "id": "24856", "image": "24856.png", "conversations": [ { "from": "human", "question": "Sidney has $0.16. Does she have enough to buy a pale purple note card and an orange envelope?\n" }, { "from": "gpt", "solution": "Add the price of a pale purple note card and the price of an orange envelope:\n\n$0.09 + $0.08 = $0.17\n\n$0.17 is more than $0.16. Sidney does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pale purple note card | $0.09 |\n| piece of polka-dotted paper | $0.07 |\n| orange envelope | $0.08 |\n| piece of striped paper | $0.02 |" } ] }, { "id": "24859", "image": "24859.png", "conversations": [ { "from": "human", "question": "To get credit for meeting his school's community service requirement, Ronald kept a volunteering log. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n10, 2, 5, 10, 7, 10, 4\n\nFirst, arrange the numbers from least to greatest:\n\n2, 4, 5, 7, 10, 10, 10\n\nNow find the number in the middle.\n\n2, 4, 5, 7, 10, 10, 10\n\nThe number in the middle is 7.\n\nThe median is 7.", "answer": "7", "table": "**Hours spent volunteering**\n\n| Day | Hours |\n| --- | --- |\n| Thursday | 10 |\n| Friday | 2 |\n| Saturday | 5 |\n| Sunday | 10 |\n| Monday | 7 |\n| Tuesday | 10 |\n| Wednesday | 4 |" } ] }, { "id": "24863", "image": "24863.png", "conversations": [ { "from": "human", "question": "For a few weeks, a music producer kept track of newly released songs on a music streaming website. He recorded the music genre and number of times the song was played on its release date. What is the probability that a randomly selected song had 0-500 plays and was rock? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the song had 0-500 plays\" and B be the event \"the song was rock\".\nTo find the probability that a song had 0-500 plays and was rock, first identify the sample space and the event.\nThe outcomes in the sample space are the different songs. Each song is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the song had 0-500 plays and was rock\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the song had 0-500 plays and was rock\", so look at the table to see how many songs had 0-500 plays and were rock.\nThe number of songs that had 0-500 plays and were rock is 3.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of songs.\n6 + 5 + 3 + 5 = 19\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{3}{19}\nThe probability that a song had 0-500 plays and was rock is \\frac{3}{19}.", "answer": "3/19", "table": "| | Country | Rock |\n| --- | --- | --- |\n| 0-500 plays | 6 | 3 |\n| 501-1,000 plays | 5 | 5 |" } ] }, { "id": "24870", "image": "24870.png", "conversations": [ { "from": "human", "question": "Each shelf has 2 hats. How many hats are on 3 shelves?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 6 hats on 3 shelves.", "answer": "6", "table": "| Number of shelves | Number of hats |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | ? |" } ] }, { "id": "24871", "image": "24871.png", "conversations": [ { "from": "human", "question": "Erica, a doctor's office receptionist, tracked the average waiting time at the office each month. According to the table, what was the rate of change between May and June?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{16 minutes - 32 minutes}{1 month}\n = \\frac{-16 minutes}{1 month}\n = -16 minutes per month\nThe rate of change between May and June was - 16 minutes per month.", "answer": "-16", "table": "**Average waiting time at a doctor's office**\n\n| Month | Waiting time (minutes) |\n| --- | --- |\n| May | 32 |\n| June | 16 |\n| July | 37 |\n| August | 45 |\n| September | 31 |" } ] }, { "id": "24872", "image": "24872.png", "conversations": [ { "from": "human", "question": "The parks department compared how many basketball hoops there are at each park. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 4, 6, 1, 3, 3, 1\n\nFirst, arrange the numbers from least to greatest:\n\n1, 1, 3, 3, 4, 6, 6\n\nNow find the number in the middle.\n\n1, 1, 3, 3, 4, 6, 6\n\nThe number in the middle is 3.\n\nThe median is 3.", "answer": "3", "table": "**Basketball hoops**\n\n| Park | Number of basketball hoops |\n| --- | --- |\n| Linden Park | 6 |\n| Westfield Park | 4 |\n| Heron Park | 6 |\n| Otter Park | 1 |\n| Mooreland Park | 3 |\n| Palm Park | 3 |\n| Riverfront Park | 1 |" } ] }, { "id": "24873", "image": "24873.png", "conversations": [ { "from": "human", "question": "Ken kept track of the number of games his soccer team won each year. According to the table, what was the rate of change between 2009 and 2010?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{16 games - 15 games}{2010 - 2009}\n = \\frac{16 games - 15 games}{1 year}\n = \\frac{1 game}{1 year}\n = 1 game per year\nThe rate of change between 2009 and 2010 was 1 game per year.", "answer": "1", "table": "**Games won by Ken's soccer team**\n\n| Year | Games won |\n| --- | --- |\n| 2008 | 8 |\n| 2009 | 15 |\n| 2010 | 16 |\n| 2011 | 12 |\n| 2012 | 17 |" } ] }, { "id": "24880", "image": "24880.png", "conversations": [ { "from": "human", "question": "How much more does a model railroad set cost than a boomerang?\n" }, { "from": "gpt", "solution": "Subtract the price of a boomerang from the price of a model railroad set.\n\n$58.25 - $10.51 = $47.74\n\nA model railroad set costs $47.74 more than a boomerang.", "answer": "47.74", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| model railroad set | $58.25 |\n| boomerang | $10.51 |\n| stuffed animal | $18.00 |\n| chess board | $12.55 |" } ] }, { "id": "24881", "image": "24881.png", "conversations": [ { "from": "human", "question": "The members of the local garden club tallied the number of plants in each person's garden. What is the smallest number of plants?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 3.\n\nNow find the lowest leaf in the first row. The lowest leaf is 0.\n\nThe smallest number of plants has a stem of 3 and a leaf of 0. Write the stem first, then the leaf: 30.\n\nThe smallest number of plants is 30 plants.", "answer": "30", "table": "**Plants per garden**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 0 |\n| 4 | 0, 3 |\n| 5 | 2, 6 |\n| 6 | 1 |" } ] }, { "id": "24888", "image": "24888.png", "conversations": [ { "from": "human", "question": "At their family reunion, the Monroe family recorded everyone's age. How many people are at least 20 years old but less than 30 years old?\n" }, { "from": "gpt", "solution": "Count all the leaves in the row with stem 2.\n\nYou counted 6 leaves, which are blue in the stem-and-leaf plot above. 6 people are at least 20 years old but less than 30 years old.", "answer": "6", "table": "**Ages**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 0, 1, 3, 5, 7, 9 |\n| 3 | 1, 2, 4, 5, 6, 9 |\n| 4 | 2, 3, 4, 4, 4, 5, 6, 6, 7 |\n| 5 | 0, 1, 4 |" } ] }, { "id": "24891", "image": "24891.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does the Tigers versus Wolves game begin?\n" }, { "from": "gpt", "solution": "Find the Tigers versus Wolves game on the schedule. Find the beginning time for the Tigers versus Wolves game.\n\nTigers versus Wolves: 11:40 A. M.", "answer": "11:40 A.M.", "table": "**Soccer tournament schedule**\n\n| Game | Begin | End |\n| --- | --- | --- |\n| Cardinals versus Cobras | 8:35 A.M. | 10:05 A.M. |\n| Sharks versus Storm | 9:10 A.M. | 10:40 A.M. |\n| Waves versus Alligators | 9:40 A.M. | 11:10 A.M. |\n| Fire versus Blizzard | 10:00 A.M. | 11:30 A.M. |\n| Dolphins versus Bears | 10:30 A.M. | 12:00 P.M. |\n| Thunder versus Eagles | 11:10 A.M. | 12:40 P.M. |\n| Tigers versus Wolves | 11:40 A.M. | 1:10 P.M. |\n| Hawks versus Jaguars | 11:50 A.M. | 1:20 P.M. |\n| Lions versus Blue Jays | 12:15 P.M. | 1:45 P.M. |\n| Lightning versus Coyotes | 1:30 P.M. | 3:00 P.M. |" } ] }, { "id": "24892", "image": "24892.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which event begins at 1.25 P.M.?\n" }, { "from": "gpt", "solution": "Find 1:25 P. M. on the schedule. The reptile show begins at 1:25 P. M.", "answer": "reptile show", "table": "**Zoo schedule**\n\n| Event | Begin | End |\n| --- | --- | --- |\n| insect show | 8:20 A.M. | 9:25 A.M. |\n| zebra feeding | 9:40 A.M. | 10:55 A.M. |\n| tiger lecture | 11:50 A.M. | 12:50 P.M. |\n| reptile show | 1:25 P.M. | 2:35 P.M. |\n| bear lecture | 2:55 P.M. | 3:55 P.M. |\n| panda lecture | 4:15 P.M. | 5:00 P.M. |\n| bird show | 6:15 P.M. | 6:55 P.M. |" } ] }, { "id": "24893", "image": "24893.png", "conversations": [ { "from": "human", "question": "Each year, the campers at Eric's summer camp try to set that summer's record for finishing the obstacle course as quickly as possible. According to the table, what was the rate of change between 2011 and 2012?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{30 minutes - 25 minutes}{2012 - 2011}\n = \\frac{30 minutes - 25 minutes}{1 year}\n = \\frac{5 minutes}{1 year}\n = 5 minutes per year\nThe rate of change between 2011 and 2012 was 5 minutes per year.", "answer": "5", "table": "**Record obstacle course completion times**\n\n| Year | Record time (minutes) |\n| --- | --- |\n| 2009 | 30 |\n| 2010 | 23 |\n| 2011 | 25 |\n| 2012 | 30 |\n| 2013 | 24 |" } ] }, { "id": "24894", "image": "24894.png", "conversations": [ { "from": "human", "question": "For a class project, students in Mr. Chan's biology course counted the number of red and gray squirrels at each of the local parks. Which park has the most squirrels?\n" }, { "from": "gpt", "solution": "Add the numbers in each row.\n\nAcorn Park: 20 + 17 = 37\nPinecone Park: 15 + 1 = 16\nOak Park: 9 + 11 = 20\n\nThe greatest sum is 37, which is the total for the Acorn Park row. Acorn Park has the most squirrels.", "answer": "Acorn Park", "table": "**Squirrels in town parks**\n\n| Park | Red squirrels | Gray squirrels |\n| --- | --- | --- |\n| Acorn Park | 20 | 17 |\n| Pinecone Park | 15 | 1 |\n| Oak Park | 9 | 11 |" } ] }, { "id": "24896", "image": "24896.png", "conversations": [ { "from": "human", "question": "What is the total cost for 1+1/4 pounds of tortillas?\n" }, { "from": "gpt", "solution": "Find the cost of the tortillas. Multiply the price per pound by the number of pounds.\n$10 × 1\\frac{1}{4} = $10 × 1.25 = $12.50\nThe total cost is $12.50.", "answer": "12.50", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| French rolls | $10/pound |\n| wheat rolls | $14/pound |\n| hot dog buns | $20/pound |\n| rye rolls | $9/pound |\n| hamburger buns | $10/pound |\n| tortillas | $10/pound |\n| English muffins | $16/pound |" } ] }, { "id": "24900", "image": "24900.png", "conversations": [ { "from": "human", "question": "Katie went to the store and bought 3 pounds of salted peanuts, 1 pound of unshelled peanuts, and 5 pounds of unsalted peanuts. How much did she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the salted peanuts. Multiply:\n\n$1 × 3 = $3\n\nFind the cost of the unshelled peanuts. Multiply:\n\n$4 × 1 = $4\n\nFind the cost of the unsalted peanuts. Multiply:\n\n$2 × 5 = $10\n\nNow find the total cost by adding:\n\n$3 + $4 + $10 = $17\n\nShe spent $17.", "answer": "17", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| unsalted peanuts | $2 per pound |\n| unshelled peanuts | $4 per pound |\n| salted peanuts | $1 per pound |\n| honey roasted peanuts | $4 per pound |" } ] }, { "id": "24903", "image": "24903.png", "conversations": [ { "from": "human", "question": "Jenna went to the store and bought 1/2 of a kilogram of granulated sugar. How much did she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the granulated sugar. Multiply the price per kilogram by the number of kilograms.\n$1 × \\frac{1}{2} = $1 × 0.5 = $0.50\nShe spent $0.50.", "answer": "0.50", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| agave syrup | $3/kilogram |\n| dark brown sugar | $3/kilogram |\n| granulated sugar | $1/kilogram |\n| maple syrup | $3/kilogram |\n| light brown sugar | $1/kilogram |" } ] }, { "id": "24906", "image": "24906.png", "conversations": [ { "from": "human", "question": "Madelyn went to the store and bought 3 pounds of red paper scrap and 2 pounds of silver paper scrap. How much did she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the red paper scrap. Multiply:\n\n$11.44 × 3 = $34.32\n\nFind the cost of the silver paper scrap. Multiply:\n\n$10.64 × 2 = $21.28\n\nNow find the total cost by adding:\n\n$34.32 + $21.28 = $55.60\n\nShe spent $55.60.", "answer": "55.60", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| blue paper scrap | $10.87/pound |\n| red paper scrap | $11.44/pound |\n| silver paper scrap | $10.64/pound |\n| rainbow paper scrap | $11.51/pound |" } ] }, { "id": "24915", "image": "24915.png", "conversations": [ { "from": "human", "question": "Sidney bought 1/10 of a pound of olive oil. How much did she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the olive oil. Multiply the price per pound by the number of pounds.\n$8 × \\frac{1}{10} = $8 × 0.1 = $0.80\nShe spent $0.80.", "answer": "0.80", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| vegetable oil | $8 per pound |\n| sunflower seed oil | $3 per pound |\n| soybean oil | $7 per pound |\n| olive oil | $8 per pound |\n| cottonseed oil | $5 per pound |\n| peanut oil | $3 per pound |\n| canola oil | $8 per pound |" } ] }, { "id": "24917", "image": "24917.png", "conversations": [ { "from": "human", "question": "A marketing research firm asked people how many times they visited the mall last month. How many people went to the mall 3 times last month?\n" }, { "from": "gpt", "solution": "Find the row for 3 times and read the frequency. The frequency is 18.\n\n18 people went to the mall exactly 3 times last month.", "answer": "18", "table": "**Trips to the mall last month**\n\n| Number of trips | Frequency |\n| --- | --- |\n| 0 | 14 |\n| 1 | 1 |\n| 2 | 0 |\n| 3 | 18 |\n| 4 | 10 |" } ] }, { "id": "24920", "image": "24920.png", "conversations": [ { "from": "human", "question": "Johnny paid attention to how many flowers he planted in the garden during the past 6 days. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n2, 2, 15, 7, 15, 2\n\nFirst, arrange the numbers from least to greatest:\n\n2, 2, 2, 7, 15, 15\n\nNow count how many times each number appears.\n\n2 appears 3 times.\n7 appears 1 time.\n15 appears 2 times.\n\nThe number that appears most often is 2.\n\nThe mode is 2.", "answer": "2", "table": "**Flowers plants**\n\n| Day | Number of flowers |\n| --- | --- |\n| Saturday | 2 |\n| Sunday | 2 |\n| Monday | 15 |\n| Tuesday | 7 |\n| Wednesday | 15 |\n| Thursday | 2 |" } ] }, { "id": "24924", "image": "24924.png", "conversations": [ { "from": "human", "question": "Shannon graphed the daily low temperature for 5 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n19, 20, 18, 20, 16\n\nFirst, find the greatest number. The greatest number is 20.\n\nNext, find the least number. The least number is 16.\n\nSubtract the least number from the greatest number:\n\n20 − 16 = 4\n\nThe range is 4.", "answer": "4", "table": "**Daily low temperature**\n\n| Day | Temperature (°C) |\n| --- | --- |\n| Wednesday | 19 |\n| Thursday | 20 |\n| Friday | 18 |\n| Saturday | 20 |\n| Sunday | 16 |" } ] }, { "id": "24926", "image": "24926.png", "conversations": [ { "from": "human", "question": "The art club examined how many cookies each student baked for the bake sale. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n42, 46, 46, 42, 46\n\nFirst, arrange the numbers from least to greatest:\n\n42, 42, 46, 46, 46\n\nNow count how many times each number appears.\n\n42 appears 2 times.\n46 appears 3 times.\n\nThe number that appears most often is 46.\n\nThe mode is 46.", "answer": "46", "table": "**Cookies baked**\n\n| Name | Number of cookies |\n| --- | --- |\n| Kurt | 42 |\n| Suzie | 46 |\n| Todd | 46 |\n| Alice | 42 |\n| Zack | 46 |" } ] }, { "id": "24930", "image": "24930.png", "conversations": [ { "from": "human", "question": "Tessa went to the store and bought 4+3/4 kilograms of square washers. How much did she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the square washers. Multiply the price per kilogram by the number of kilograms.\n$3 × 4\\frac{3}{4} = $3 × 4.75 = $14.25\nShe spent $14.25.", "answer": "14.25", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| square washers | $3 per kg |\n| dock washers | $3 per kg |\n| lock washers | $3 per kg |\n| flat washers | $3 per kg |" } ] }, { "id": "24938", "image": "24938.png", "conversations": [ { "from": "human", "question": "A skating rink attendant monitored the number of injuries at the rink over the past year. He tracked the ages of those injured and the kinds of skates worn during injury. What is the probability that a randomly selected injured skater was wearing in-line skates and was age 8? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the injured skater was wearing in-line skates\" and B be the event \"the injured skater was age 8\".\nTo find the probability that a injured skater was wearing in-line skates and was age 8, first identify the sample space and the event.\nThe outcomes in the sample space are the different injured skaters. Each injured skater is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the injured skater was wearing in-line skates and was age 8\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the injured skater was wearing in-line skates and was age 8\", so look at the table to see how many injured skaters were wearing in-line skates and were age 8.\nThe number of injured skaters who were wearing in-line skates and were age 8 is 4.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of injured skaters.\n4 + 3 + 3 + 2 = 12\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{4}{12}\n = \\frac{1}{3}\nThe probability that a injured skater was wearing in-line skates and was age 8 is \\frac{1}{3}.", "answer": "1/3", "table": "| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| | Age 8 | Age 10 |\n| In-line skates | 4 | 3 |\n| Roller skates | 3 | 2 |" } ] }, { "id": "24942", "image": "24942.png", "conversations": [ { "from": "human", "question": "How much more does a book about fish cost than a book about art?\n" }, { "from": "gpt", "solution": "Subtract the price of a book about art from the price of a book about fish.\n\n$7.00 - $4.00 = $3.00\n\nA book about fish costs $3.00 more than a book about art.", "answer": "3", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| book about Europe | $7.00 |\n| book about dinosaurs | $8.00 |\n| book about art | $4.00 |\n| book about fish | $7.00 |\n| book about cars | $3.00 |\n| book about Australia | $6.00 |" } ] }, { "id": "24946", "image": "24946.png", "conversations": [ { "from": "human", "question": "The town council reported on how many stop signs there are on each street. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n4, 2, 4, 10, 2, 4\n\nFirst, arrange the numbers from least to greatest:\n\n2, 2, 4, 4, 4, 10\n\nNow count how many times each number appears.\n\n2 appears 2 times.\n4 appears 3 times.\n10 appears 1 time.\n\nThe number that appears most often is 4.\n\nThe mode is 4.", "answer": "4", "table": "**Stop signs**\n\n| Street | Number of stop signs |\n| --- | --- |\n| Peabody Street | 4 |\n| Irving Street | 2 |\n| Jackson Street | 4 |\n| Marshall Street | 10 |\n| Spring Street | 2 |\n| Walker Street | 4 |" } ] }, { "id": "24947", "image": "24947.png", "conversations": [ { "from": "human", "question": "An Idaho farmer has been monitoring crop prices over time. In 2003, how much more did lentils cost per cwt than onions?\n" }, { "from": "gpt", "solution": "Find the 2003 column. Find the numbers in this column for lentils and onions.\n\nlentils: $18.00\nonions: $11.00\n\nNow subtract:\n\n$18.00 − $11.00 = $7.00\n\nIn 2003, lentils cost $7 more per cwt than onions.", "answer": "7", "table": "**Idaho crop prices per cwt**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Crop | 2003 | 2004 |\n| Apples | $20 | $12 |\n| Onions | $11 | $7 |\n| Lentils | $18 | $14 |\n| Potatoes | $4 | $4 |\n| Canola | $10 | $11 |" } ] }, { "id": "24951", "image": "24951.png", "conversations": [ { "from": "human", "question": "At a candy factory, butterscotch candies were packaged into bags of different sizes. How many bags had exactly 54 butterscotch candies?\n" }, { "from": "gpt", "solution": "For the number 54, the stem is 5, and the leaf is 4. Find the row where the stem is 5. In that row, count all the leaves equal to 4.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 bags had exactly 54 butterscotch candies.", "answer": "3", "table": "**Butterscotch candies per bag**\n\n| Stem | Leaf |\n| --- | --- |\n| 5 | 0, 1, 4, 4, 4, 6, 6 |\n| 6 | 0, 3, 9 |\n| 7 | 8, 8, 8, 9 |\n| 8 | 3, 8 |" } ] }, { "id": "24961", "image": "24961.png", "conversations": [ { "from": "human", "question": "Clarksville Elementary School polled its students about their favorite vegetables in order to decide which ones to plant in the new school garden. How many more students voted for celery than cauliflower?\n" }, { "from": "gpt", "solution": "Add the numbers in the Celery row. Then, add the numbers in the Cauliflower row.\n\ncelery: 5 + 20 = 25\ncauliflower: 16 + 2 = 18\n\nNow subtract:\n\n25 − 18 = 7\n\n7 more students voted for celery than cauliflower.", "answer": "7", "table": "**Favorite vegetables**\n\n| Vegetable | Upper elementary students | Lower elementary students |\n| --- | --- | --- |\n| Asparagus | 16 | 5 |\n| Cauliflower | 16 | 2 |\n| Carrots | 14 | 17 |\n| Beets | 4 | 13 |\n| Celery | 5 | 20 |" } ] }, { "id": "24972", "image": "24972.png", "conversations": [ { "from": "human", "question": "A transportation analyst compared various bridges' tolls. Of the bridges shown, which charges the least for a car?\n" }, { "from": "gpt", "solution": "Look at the numbers in the Car column. Find the least number in this column.\n\nThe least number is $4.00, which is in the Oakland Bay row. The Oakland Bay bridge charges the least for a car.", "answer": "Oakland Bay", "table": "**Bridge tolls**\n\n| Bridge | Truck | Car |\n| --- | --- | --- |\n| Golden Gate | $7 | $6 |\n| Hatem | $10 | $5 |\n| Oakland Bay | $6 | $4 |" } ] }, { "id": "24977", "image": "24977.png", "conversations": [ { "from": "human", "question": "Wayne wants to buy 3.8 pounds of navel oranges. How much will he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the navel oranges. Multiply the price per pound by the number of pounds.\n$2 × 3.8 = $7.60\nHe will spend $7.60.", "answer": "7.60", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| Valencia oranges | $2 per pound |\n| blood oranges | $2 per pound |\n| pomelos | $2 per pound |\n| navel oranges | $2 per pound |\n| tangerines | $2 per pound |" } ] }, { "id": "24978", "image": "24978.png", "conversations": [ { "from": "human", "question": "An administrator at the Department of Motor Vehicles (DMV) tracked the average wait time from month to month. According to the table, what was the rate of change between August and September?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{14 minutes - 17 minutes}{1 month}\n = \\frac{-3 minutes}{1 month}\n = -3 minutes per month\nThe rate of change between August and September was - 3 minutes per month.", "answer": "-3", "table": "**Average waiting time at the DMV**\n\n| Month | Waiting time (minutes) |\n| --- | --- |\n| August | 17 |\n| September | 14 |\n| October | 26 |\n| November | 17 |\n| December | 25 |" } ] }, { "id": "24979", "image": "24979.png", "conversations": [ { "from": "human", "question": "Carmen counted all the beads in each necklace at the jewelry store where she works. How many necklaces had exactly 75 beads?\n" }, { "from": "gpt", "solution": "For the number 75, the stem is 7, and the leaf is 5. Find the row where the stem is 7. In that row, count all the leaves equal to 5.\n\nYou counted 1 leaf, which is blue in the stem-and-leaf plot above. 1 necklace had exactly 75 beads.", "answer": "1", "table": "**Beads per necklace**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 5, 9 |\n| 2 | 1, 4, 5, 5 |\n| 3 | 2, 6, 6 |\n| 4 | 1, 3 |\n| 5 | 0, 1, 3, 3 |\n| 6 | 8 |\n| 7 | 1, 2, 5 |\n| 8 | 3, 5, 9 |\n| 9 | 0 |" } ] }, { "id": "24982", "image": "24982.png", "conversations": [ { "from": "human", "question": "Miss Blackburn ran a sit-up competition among her P.E. students and monitored how many sit-ups each students could do. What is the smallest number of sit-ups done?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 1.\n\nNow find the lowest leaf in the first row. The lowest leaf is 1.\n\nThe smallest number of sit-ups done has a stem of 1 and a leaf of 1. Write the stem first, then the leaf: 11.\n\nThe smallest number of sit-ups done is 11 sit-ups.", "answer": "11", "table": "**Sit-up competition (number of sit-ups)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1, 9 |\n| 2 | 0, 2 |\n| 3 | 0, 1, 4, 5, 7, 8 |\n| 4 | 4 |\n| 5 | 5 |\n| 6 | 1, 7 |\n| 7 | 2, 9 |\n| 8 | 3, 3, 4, 8 |\n| 9 | 0 |" } ] }, { "id": "24985", "image": "24985.png", "conversations": [ { "from": "human", "question": "The bird watcher counted the number of birds in each flock that passed overhead. How many flocks had fewer than 40 birds?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1, 2, and 3.\n\nYou counted 10 leaves, which are blue in the stem-and-leaf plot above. 10 flocks had fewer than 40 birds.", "answer": "10", "table": "**Birds per flock**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1, 6, 7, 8, 9, 9 |\n| 2 | 1, 1, 2, 2 |\n| 3 | |\n| 4 | 1, 3, 6, 9 |\n| 5 | 0, 6, 7, 7, 9 |\n| 6 | 2, 5 |\n| 7 | 0, 0, 3, 5 |" } ] }, { "id": "24991", "image": "24991.png", "conversations": [ { "from": "human", "question": "How much money does Braden need to buy 3 small boxes of paper clips?\n" }, { "from": "gpt", "solution": "Find the total cost of 3 small boxes of paper clips by multiplying 3 times the price of a small box of paper clips.\n\n$0.79 × 3 = $2.37\n\nBraden needs $2.37.", "answer": "2.37", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| package of pencil lead | $0.54 |\n| silver pen | $0.92 |\n| black pen | $0.49 |\n| small box of paper clips | $0.79 |\n| glue stick | $0.93 |" } ] }, { "id": "24994", "image": "24994.png", "conversations": [ { "from": "human", "question": "Over a weekend, Ariana counted the number of single scoop ice creams ordered at her store. She tracked the flavors and the day on which it was ordered. What is the probability that a randomly selected ice cream was chocolate and was ordered on a Saturday? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the ice cream was chocolate\" and B be the event \"the ice cream was ordered on a Saturday\".\nTo find the probability that a ice cream was chocolate and was ordered on a Saturday, first identify the sample space and the event.\nThe outcomes in the sample space are the different ice creams. Each ice cream is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the ice cream was chocolate and was ordered on a Saturday\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the ice cream was chocolate and was ordered on a Saturday\", so look at the table to see how many ice creams were chocolate and were ordered on a Saturday.\nThe number of ice creams that were chocolate and were ordered on a Saturday is 2.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of ice creams.\n2 + 6 + 7 + 5 = 20\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{2}{20}\n = \\frac{1}{10}\nThe probability that a ice cream was chocolate and was ordered on a Saturday is \\frac{1}{10}.", "answer": "1/10", "table": "| | Saturday | Sunday |\n| --- | --- | --- |\n| Chocolate | 2 | 7 |\n| Vanilla | 6 | 5 |" } ] }, { "id": "24996", "image": "24996.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which stop does the train depart from at 10.25 A.M.?\n" }, { "from": "gpt", "solution": "Find 10:25 A. M. on the schedule. The train departs from the baseball stadium at 10:25 A. M.", "answer": "baseball stadium", "table": "**Subway train schedule**\n\n| Location | Time |\n| --- | --- |\n| baseball stadium | 10:25 A.M. |\n| football stadium | 10:30 A.M. |\n| university | 10:45 A.M. |\n| history museum | 11:10 A.M. |\n| theater district | 11:35 A.M. |\n| art gallery district | 12:05 P.M. |\n| city park | 12:45 P.M. |\n| waterfront | 1:20 P.M. |" } ] }, { "id": "25002", "image": "25002.png", "conversations": [ { "from": "human", "question": "Emmy jotted down how many minutes she spent practicing basketball in the past 6 days. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n26, 28, 25, 28, 25, 24\n\nFirst, count how many numbers are in the group.\n\nThere are 6 numbers.\n\nNow add all the numbers together:\n\n26 + 28 + 25 + 28 + 25 + 24 = 156\n\nNow divide the sum by the number of numbers:\n\n156 ÷ 6 = 26\n\nThe mean is 26.", "answer": "26", "table": "**Minutes spent practicing**\n\n| Day | Minutes |\n| --- | --- |\n| Monday | 26 |\n| Tuesday | 28 |\n| Wednesday | 25 |\n| Thursday | 28 |\n| Friday | 25 |\n| Saturday | 24 |" } ] }, { "id": "25007", "image": "25007.png", "conversations": [ { "from": "human", "question": "Each aquarium has 2 goldfish. How many goldfish are in 3 aquariums?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 6 goldfish in 3 aquariums.", "answer": "6", "table": "| Number of aquariums | Number of goldfish |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | ? |" } ] }, { "id": "25008", "image": "25008.png", "conversations": [ { "from": "human", "question": "Shivani likes watching the show Engineering Marvels. In last night's episode, the engineering team visited a tall skyscraper and a deep mine. A banner at the bottom of the screen showed the elevation of each location the team visited. Which location is closer to sea level?\n" }, { "from": "gpt", "solution": "The top of the skyscraper has a positive elevation, so it is above sea level. The bottom of the mine has a negative elevation, so it is below sea level.\nTo find the location closer to sea level, use absolute value. Absolute value tells you how far each location is from sea level.\nTop of the skyscraper: |275| = 275\nBottom of the mine: |-260| = 260\nThe top of the skyscraper is 275 meters above sea level, but the bottom of the mine is only260 meters below sea level. The bottom of the mine is closer to sea level.", "answer": "bottom of the mine", "table": "| Location | Elevation (m) |\n| --- | --- |\n| Top of the skyscraper | 275 |\n| Bottom of the mine | -260 |" } ] }, { "id": "25013", "image": "25013.png", "conversations": [ { "from": "human", "question": "Dan has $1,279.00. Does he have enough to buy a trumpet and an oboe?\n" }, { "from": "gpt", "solution": "Add the price of a trumpet and the price of an oboe:\n\n$410.00 + $812.00 = $1,222.00\n\n$1,222.00 is less than $1,279.00. Dan does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| violin | $135.00 |\n| saxophone | $978.00 |\n| oboe | $812.00 |\n| trumpet | $410.00 |\n| keyboard | $297.00 |" } ] }, { "id": "25014", "image": "25014.png", "conversations": [ { "from": "human", "question": "Each desk has 10 red markers. How many red markers are on 3 desks?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 30 red markers on 3 desks.", "answer": "30", "table": "| Number of desks | Number of red markers |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | ? |" } ] }, { "id": "25021", "image": "25021.png", "conversations": [ { "from": "human", "question": "What is the total cost for 9/10 of a pound of sage?\n" }, { "from": "gpt", "solution": "Find the cost of the sage. Multiply the price per pound by the number of pounds.\n$6 × \\frac{9}{10} = $6 × 0.9 = $5.40\nThe total cost is $5.40.", "answer": "5.40", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| cilantro | $9/lb |\n| sage | $6/lb |\n| thyme | $4/lb |\n| parsley | $6/lb |\n| mint | $9/lb |\n| rosemary | $5/lb |" } ] }, { "id": "25022", "image": "25022.png", "conversations": [ { "from": "human", "question": "Kayla has $17.00. How much money will Kayla have left if she buys a ham and cheese omelette and a breakfast burrito?\n" }, { "from": "gpt", "solution": "Find the total cost of a ham and cheese omelette and a breakfast burrito.\n\n$7.00 + $6.00 = $13.00\n\nNow subtract the total cost from the starting amount.\n\n$17.00 - $13.00 = $4.00\n\nKayla will have $4.00 left.", "answer": "4", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| ham and cheese omelette | $7.00 |\n| fried eggs | $1.00 |\n| spinach omelette | $8.00 |\n| poached eggs | $6.00 |\n| breakfast burrito | $6.00 |" } ] }, { "id": "25024", "image": "25024.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $485, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $485, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $465 | 18,600 | 12,500 |\n| $485 | 15,200 | 12,800 |\n| $505 | 11,800 | 13,100 |\n| $525 | 8,400 | 13,400 |\n| $545 | 5,000 | 13,700 |" } ] }, { "id": "25030", "image": "25030.png", "conversations": [ { "from": "human", "question": "Brett's family went on a road trip and counted the number of cars they saw each day. On which day did they see the fewest cars?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 60.\n\nNow find the corresponding day. Wednesday corresponds to 60.", "answer": "Wednesday", "table": "**Number of cars**\n\n| Day | Number of cars |\n| --- | --- |\n| Wednesday | 60 |\n| Thursday | 64 |\n| Friday | 67 |\n| Saturday | 69 |" } ] }, { "id": "25032", "image": "25032.png", "conversations": [ { "from": "human", "question": "The city library monitored the number of books checked out each day. How many books in total were checked out on Friday and Sunday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nFriday: 853\nSunday: 105\n\nNow add: 853 + 105 = 958.\n\n958 books were checked out on Friday and Sunday.", "answer": "958", "table": "**Books checked out**\n\n| Day | Number of books |\n| --- | --- |\n| Friday | 853 |\n| Saturday | 810 |\n| Sunday | 105 |" } ] }, { "id": "25051", "image": "25051.png", "conversations": [ { "from": "human", "question": "How much money does Elizabeth need to buy a miniature padlock and a piece of plastic pipe?\n" }, { "from": "gpt", "solution": "Add the price of a miniature padlock and the price of a piece of plastic pipe:\n\n$0.17 + $0.80 = $0.97\n\nElizabeth needs $0.97.", "answer": "0.97", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| short steel screw | $0.16 |\n| small paintbrush | $0.53 |\n| piece of plastic pipe | $0.80 |\n| miniature padlock | $0.17 |" } ] }, { "id": "25058", "image": "25058.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{10 - 19}{12 - 11}\n = \\frac{-9}{1}\n = -9\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{0 - 19}{13 - 11}\n = \\frac{-19}{2}\n = -9\\frac{1}{2}\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 11 | 19 |\n| 12 | 10 |\n| 13 | 0 |" } ] }, { "id": "25060", "image": "25060.png", "conversations": [ { "from": "human", "question": "Dominic went on a vacation to an amusement park and counted how many rides he went on each day. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 10, 6, 7, 7, 10\n\nFirst, find the greatest number. The greatest number is 10.\n\nNext, find the least number. The least number is 6.\n\nSubtract the least number from the greatest number:\n\n10 − 6 = 4\n\nThe range is 4.", "answer": "4", "table": "**Amusement park rides**\n\n| Day | Number of rides |\n| --- | --- |\n| Monday | 6 |\n| Tuesday | 10 |\n| Wednesday | 6 |\n| Thursday | 7 |\n| Friday | 7 |\n| Saturday | 10 |" } ] }, { "id": "25069", "image": "25069.png", "conversations": [ { "from": "human", "question": "How much more does an oyster shell cost than a scallop shell?\n" }, { "from": "gpt", "solution": "Subtract the price of a scallop shell from the price of an oyster shell.\n\n$0.06 - $0.03 = $0.03\n\nAn oyster shell costs $0.03 more than a scallop shell.", "answer": "0.03", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| spiral snail shell | $0.01 |\n| scallop shell | $0.03 |\n| polished silver top shell | $0.02 |\n| oyster shell | $0.06 |\n| pink and white striped shell | $0.04 |" } ] }, { "id": "25071", "image": "25071.png", "conversations": [ { "from": "human", "question": "Each basket has 10 flowers. How many flowers are in 4 baskets?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 40 flowers in 4 baskets.", "answer": "40", "table": "| Number of baskets | Number of flowers |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | ? |" } ] }, { "id": "25072", "image": "25072.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $685, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $685, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $365 | 20,300 | 5,900 |\n| $445 | 17,300 | 9,000 |\n| $525 | 14,300 | 12,100 |\n| $605 | 11,300 | 15,200 |\n| $685 | 8,300 | 18,300 |" } ] }, { "id": "25073", "image": "25073.png", "conversations": [ { "from": "human", "question": "In a recent election at Pruitt University, four people ran for student body president. What fraction of votes were for Anne? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many votes were for Anne.\n\n230\n\nFind how many votes there were in total.\n\n380 + 560 + 230 + 170 = 1,340\n\nDivide 230 by1,340.\n\n\\frac{230}{1,340}\n\nReduce the fraction.\n\n\\frac{230}{1,340} → \\frac{23}{134}\n\n\\frac{23}{134} of votes were for Anne.", "answer": "23/134", "table": "**Election results**\n\n| Candidate | Votes |\n| --- | --- |\n| Celine | 380 |\n| Kendra | 560 |\n| Anne | 230 |\n| Alec | 170 |" } ] }, { "id": "25077", "image": "25077.png", "conversations": [ { "from": "human", "question": "A veterinarian in Oakland treats a number of different kinds of animals every year. What fraction of pets treated were rabbits? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many rabbits were treated.\n\n910\n\nFind how many pets were treated in total.\n\n670 + 340 + 910 + 810 + 450 = 3,180\n\nDivide 910 by 3,180.\n\n\\frac{910}{3,180}\n\nReduce the fraction.\n\n\\frac{910}{3,180} → \\frac{91}{318}\n\n\\frac{91}{318} of rabbits were treated.", "answer": "91/318", "table": "**Pets treated by the vet**\n\n| Pet | Number of cases |\n| --- | --- |\n| Rodents | 670 |\n| Cats | 340 |\n| Rabbits | 910 |\n| Reptiles | 810 |\n| Other | 450 |" } ] }, { "id": "25080", "image": "25080.png", "conversations": [ { "from": "human", "question": "Some friends compared the sizes of their stuffed animal collections. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n5, 6, 7, 7, 6, 6\n\nFirst, arrange the numbers from least to greatest:\n\n5, 6, 6, 6, 7, 7\n\nNow count how many times each number appears.\n\n5 appears 1 time.\n6 appears 3 times.\n7 appears 2 times.\n\nThe number that appears most often is 6.\n\nThe mode is 6.", "answer": "6", "table": "**Stuffed animal collections**\n\n| Name | Number of stuffed animals |\n| --- | --- |\n| Tyrone | 5 |\n| Ronald | 6 |\n| Santiago | 7 |\n| Mateo | 7 |\n| Harper | 6 |\n| Edward | 6 |" } ] }, { "id": "25083", "image": "25083.png", "conversations": [ { "from": "human", "question": "Several people compared how many Web pages they had visited. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 6, 4, 2, 2, 6, 9, 4\n\nFirst, arrange the numbers from least to greatest:\n\n2, 2, 4, 4, 6, 6, 6, 9\n\nNow count how many times each number appears.\n\n2 appears 2 times.\n4 appears 2 times.\n6 appears 3 times.\n9 appears 1 time.\n\nThe number that appears most often is 6.\n\nThe mode is 6.", "answer": "6", "table": "**Web pages visited**\n\n| Person | Number of Web pages |\n| --- | --- |\n| Maya | 6 |\n| Lucy | 6 |\n| Eliana | 4 |\n| Bobby | 2 |\n| Carter | 2 |\n| Dustin | 6 |\n| Alice | 9 |\n| Wyatt | 4 |" } ] }, { "id": "25095", "image": "25095.png", "conversations": [ { "from": "human", "question": "Julie has $0.28. Does she have enough to buy a piece of gum and a caramel?\n" }, { "from": "gpt", "solution": "Add the price of a piece of gum and the price of a caramel:\n\n$0.17 + $0.14 = $0.31\n\n$0.31 is more than $0.28. Julie does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| gum drop | $0.11 |\n| peanut butter cup | $0.21 |\n| piece of gum | $0.17 |\n| chocolate-covered cherry | $0.21 |\n| caramel | $0.14 |" } ] }, { "id": "25100", "image": "25100.png", "conversations": [ { "from": "human", "question": "How much money does Cassie need to buy 3 beach towels?\n" }, { "from": "gpt", "solution": "Find the total cost of 3 beach towels by multiplying 3 times the price of a beach towel.\n\n$11.07 × 3 = $33.21\n\nCassie needs $33.21.", "answer": "33.21", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| navy blue bath mat | $13.66 |\n| beach towel | $11.07 |\n| yellow bath towel | $15.65 |\n| fleece blanket | $14.05 |\n| beach blanket | $11.93 |\n| quilt | $42.08 |" } ] }, { "id": "25102", "image": "25102.png", "conversations": [ { "from": "human", "question": "The owner of a plant nursery wrote down the number of roses on each bush. What is the smallest number of roses?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 1.\n\nNow find the lowest leaf in the first row. The lowest leaf is 3.\n\nThe smallest number of roses has a stem of 1 and a leaf of 3. Write the stem first, then the leaf: 13.\n\nThe smallest number of roses is 13 roses.", "answer": "13", "table": "**Roses per bush**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 3 |\n| 2 | 1, 2 |\n| 3 | 2, 4, 4, 8 |\n| 4 | 3, 4, 4, 5, 8, 9 |\n| 5 | |\n| 6 | 2, 5 |\n| 7 | 9 |\n| 8 | 8 |" } ] }, { "id": "25104", "image": "25104.png", "conversations": [ { "from": "human", "question": "A reporter looked through his notebook to remember how many people he had interviewed in the past 5 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n13, 13, 14, 13, 15\n\nFirst, find the greatest number. The greatest number is 15.\n\nNext, find the least number. The least number is 13.\n\nSubtract the least number from the greatest number:\n\n15 − 13 = 2\n\nThe range is 2.", "answer": "2", "table": "**People interviewed**\n\n| Day | Number of people |\n| --- | --- |\n| Saturday | 13 |\n| Sunday | 13 |\n| Monday | 14 |\n| Tuesday | 13 |\n| Wednesday | 15 |" } ] }, { "id": "25105", "image": "25105.png", "conversations": [ { "from": "human", "question": "To figure out how many vacation days she had left to use, Katy looked over her old calendars to figure out how many days of vacation she had taken each year. According to the table, what was the rate of change between 2017 and 2018?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{16 vacation days - 25 vacation days}{2018 - 2017}\n = \\frac{16 vacation days - 25 vacation days}{1 year}\n = \\frac{-9 vacation days}{1 year}\n = -9 vacation days per year\nThe rate of change between 2017 and 2018 was - 9 vacation days per year.", "answer": "-9", "table": "**Vacation days taken by Katy**\n\n| Year | Vacation days |\n| --- | --- |\n| 2015 | 27 |\n| 2016 | 30 |\n| 2017 | 25 |\n| 2018 | 16 |\n| 2019 | 25 |" } ] }, { "id": "25107", "image": "25107.png", "conversations": [ { "from": "human", "question": "How much money does Jonathan need to buy a boxcar, a sailboat, and a hovercraft?\n" }, { "from": "gpt", "solution": "Find the total cost of a boxcar, a sailboat, and a hovercraft.\n\n$5,116 + $6,161 + $3,334 = $14,611\n\nJonathan needs $14,611.", "answer": "14,611", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| sailboat | $6,161 |\n| speedboat | $8,023 |\n| boxcar | $5,116 |\n| hovercraft | $3,334 |" } ] }, { "id": "25108", "image": "25108.png", "conversations": [ { "from": "human", "question": "For a math assignment, students noted the number of times a wheel landed on the numbers 0 through 5. How many students spun a number greater than 1?\n" }, { "from": "gpt", "solution": "Find the rows for 2, 3, 4, and 5. Add the frequencies for these rows.\n\nAdd:\n\n9 + 0 + 13 + 16 = 38\n\n38 students spun a number greater than 1.", "answer": "38", "table": "**Spinning a wheel numbered 0 through 5**\n\n| Number spun | Frequency |\n| --- | --- |\n| 0 | 7 |\n| 1 | 6 |\n| 2 | 9 |\n| 3 | 0 |\n| 4 | 13 |\n| 5 | 16 |" } ] }, { "id": "25118", "image": "25118.png", "conversations": [ { "from": "human", "question": "A pizza delivery driver paid attention to how many pizzas she delivered over the past 6 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n4, 5, 9, 5, 4, 3\n\nFirst, find the greatest number. The greatest number is 9.\n\nNext, find the least number. The least number is 3.\n\nSubtract the least number from the greatest number:\n\n9 − 3 = 6\n\nThe range is 6.", "answer": "6", "table": "**Pizzas delivered**\n\n| Day | Number of pizzas |\n| --- | --- |\n| Tuesday | 4 |\n| Wednesday | 5 |\n| Thursday | 9 |\n| Friday | 5 |\n| Saturday | 4 |\n| Sunday | 3 |" } ] }, { "id": "25121", "image": "25121.png", "conversations": [ { "from": "human", "question": "How much money does Tommy need to buy 2 basketball tickets?\n" }, { "from": "gpt", "solution": "Find the total cost of 2 basketball tickets by multiplying 2 times the price of a basketball ticket.\n\n$35.71 × 2 = $71.42\n\nTommy needs $71.42.", "answer": "71.42", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| football ticket | $74.63 |\n| basketball ticket | $35.71 |\n| figure skating ticket | $36.13 |\n| ballet ticket | $18.10 |" } ] }, { "id": "25127", "image": "25127.png", "conversations": [ { "from": "human", "question": "How much money does Amy need to buy a bag of frozen vegetables, a box of gingersnaps, and a carton of yogurt?\n" }, { "from": "gpt", "solution": "Find the total cost of a bag of frozen vegetables, a box of gingersnaps, and a carton of yogurt.\n\n$1.14 + $3.06 + $1.96 = $6.16\n\nAmy needs $6.16.", "answer": "6.16", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| carton of yogurt | $1.96 |\n| box of gingersnaps | $3.06 |\n| bag of flour | $1.80 |\n| bag of walnuts | $1.36 |\n| bag of frozen vegetables | $1.14 |\n| bag of marshmallows | $1.12 |" } ] }, { "id": "25130", "image": "25130.png", "conversations": [ { "from": "human", "question": "Some friends discussed the sizes of their coin collections. If you combine their collections, how many coins do Heather and Nate have?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nHeather: 5,407\nNate: 1,224\n\nNow add: 5,407 + 1,224 = 6,631.\n\nHeather and Nate have 6,631 coins.", "answer": "6,631", "table": "**Coin collections**\n\n| Name | Number of coins |\n| --- | --- |\n| Heather | 5,407 |\n| Alec | 2,873 |\n| Wesley | 2,219 |\n| Nate | 1,224 |\n| Bruce | 1,792 |" } ] }, { "id": "25142", "image": "25142.png", "conversations": [ { "from": "human", "question": "How much more does a purple and red clay bead cost than a bead with green and blue swirls?\n" }, { "from": "gpt", "solution": "Subtract the price of a bead with green and blue swirls from the price of a purple and red clay bead.\n\n$0.49 - $0.10 = $0.39\n\nA purple and red clay bead costs $0.39 more than a bead with green and blue swirls.", "answer": "0.39", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| tiny gold bead | $0.22 |\n| orange glass bead | $0.91 |\n| orange and yellow striped bead | $0.25 |\n| brown cat's eye bead | $0.42 |\n| bead with green and blue swirls | $0.10 |\n| purple and red clay bead | $0.49 |" } ] }, { "id": "25146", "image": "25146.png", "conversations": [ { "from": "human", "question": "A grocery store recorded how many customers visited the store each day. On which day did the grocery store have the fewest customers?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 41.\n\nNow find the corresponding day. Tuesday corresponds to 41.", "answer": "Tuesday", "table": "**Grocery store customers**\n\n| Day | Number of customers |\n| --- | --- |\n| Saturday | 45 |\n| Sunday | 49 |\n| Monday | 42 |\n| Tuesday | 41 |" } ] }, { "id": "25150", "image": "25150.png", "conversations": [ { "from": "human", "question": "Erik has $1.00. Does he have enough to buy a red ballpoint pen and a package of crayons?\n" }, { "from": "gpt", "solution": "Add the price of a red ballpoint pen and the price of a package of crayons:\n\n$0.85 + $0.26 = $1.11\n\n$1.11 is more than $1.00. Erik does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| package of crayons | $0.26 |\n| thin green highlighter | $0.28 |\n| package of pencil lead | $0.57 |\n| bright yellow highlighter | $0.25 |\n| small box of paper clips | $0.75 |\n| red ballpoint pen | $0.85 |" } ] }, { "id": "25152", "image": "25152.png", "conversations": [ { "from": "human", "question": "An agricultural agency is researching how much cheese people have been eating in different parts of the world. How much cheese was consumed per capita in Argentina in 2006?\n" }, { "from": "gpt", "solution": "First, find the row for Argentina. Then find the number in the 2006 column.\n\nThis number is 11. In 2006, people in Argentina consumed 11 kilograms of cheese per capita.", "answer": "11", "table": "**Cheese consumption per capita (kg)**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 1996 | 2006 |\n| Germany | 12 | 20 |\n| Australia | 10 | 10 |\n| Canada | 10 | 11 |\n| Great Britain | 9 | 10 |\n| Argentina | 11 | 11 |" } ] }, { "id": "25153", "image": "25153.png", "conversations": [ { "from": "human", "question": "Some friends played a trivia game and recorded their scores. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n10, 4, 1, 4, 1\n\nFirst, count how many numbers are in the group.\n\nThere are 5 numbers.\n\nNow add all the numbers together:\n\n10 + 4 + 1 + 4 + 1 = 20\n\nNow divide the sum by the number of numbers:\n\n20 ÷ 5 = 4\n\nThe mean is 4.", "answer": "4", "table": "**Trivia game scores**\n\n| Name | Score |\n| --- | --- |\n| Jamal | 10 |\n| Terrence | 4 |\n| Eve | 1 |\n| Kiara | 4 |\n| Zeke | 1 |" } ] }, { "id": "25156", "image": "25156.png", "conversations": [ { "from": "human", "question": "Danielle has $1.00. Does she have enough to buy a sand castle magnet and a whale keychain?\n" }, { "from": "gpt", "solution": "Add the price of a sand castle magnet and the price of a whale keychain:\n\n$0.69 + $0.30 = $0.99\n\n$0.99 is less than $1.00. Danielle does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| sand castle magnet | $0.69 |\n| plastic crab | $0.64 |\n| souvenir cup | $0.75 |\n| souvenir thimble | $0.81 |\n| whale keychain | $0.30 |" } ] }, { "id": "25157", "image": "25157.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{11 - 1}{13 - 12}\n = \\frac{10}{1}\n = 10\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{20 - 1}{14 - 12}\n = \\frac{19}{2}\n = 9\\frac{1}{2}\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 12 | 1 |\n| 13 | 11 |\n| 14 | 20 |" } ] }, { "id": "25167", "image": "25167.png", "conversations": [ { "from": "human", "question": "A concession stand worker at the movie theater looked up how many bags of popcorn were sold in the past 6 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n4, 2, 4, 1, 4, 12\n\nFirst, find the greatest number. The greatest number is 12.\n\nNext, find the least number. The least number is 1.\n\nSubtract the least number from the greatest number:\n\n12 − 1 = 11\n\nThe range is 11.", "answer": "11", "table": "**Bags of popcorn sold**\n\n| Day | Number of bags of popcorn |\n| --- | --- |\n| Thursday | 4 |\n| Friday | 2 |\n| Saturday | 4 |\n| Sunday | 1 |\n| Monday | 4 |\n| Tuesday | 12 |" } ] }, { "id": "25173", "image": "25173.png", "conversations": [ { "from": "human", "question": "Each tool box has 10 hammers. How many hammers are in 5 tool boxes?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 50 hammers in 5 tool boxes.", "answer": "50", "table": "| Number of tool boxes | Number of hammers |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | 40 |\n| 5 | ? |" } ] }, { "id": "25174", "image": "25174.png", "conversations": [ { "from": "human", "question": "How much money does Ian need to buy a book about South America, a book about soccer, and a book about fish?\n" }, { "from": "gpt", "solution": "Find the total cost of a book about South America, a book about soccer, and a book about fish.\n\n$7.67 + $6.16 + $7.87 = $21.70\n\nIan needs $21.70.", "answer": "21.70", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| book about soccer | $6.16 |\n| book about fish | $7.87 |\n| book about South America | $7.67 |\n| book about helicopters | $8.58 |" } ] }, { "id": "25181", "image": "25181.png", "conversations": [ { "from": "human", "question": "A vendor who sold bread at farmers' markets counted the number of leftover loaves at the end of each day. According to the table, what was the rate of change between Monday and Tuesday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{7 loaves - 8 loaves}{1 day}\n = \\frac{-1 loaves}{1 day}\n = -1 loaves per day\nThe rate of change between Monday and Tuesday was - 1 loaves per day.", "answer": "-1", "table": "**Loaves of leftover bread**\n\n| Day | Leftover loaves |\n| --- | --- |\n| Monday | 8 |\n| Tuesday | 7 |\n| Wednesday | 8 |\n| Thursday | 9 |\n| Friday | 10 |" } ] }, { "id": "25184", "image": "25184.png", "conversations": [ { "from": "human", "question": "Look at Nathaniel's pay stub. Nathaniel lives in a state that has state income tax. How much payroll tax did Nathaniel pay in total?\n" }, { "from": "gpt", "solution": "To find the total payroll tax, add the federal income tax, state income tax, and other taxes.\nThe federal income tax is $78.53. The state income tax is $50.21. The other taxes are $52.40. Add.\n$78.53 + $50.21 + $52.40 = $181.14\nNathaniel paid a total of $181.14 in payroll tax.", "answer": "181.14", "table": "| Employee | Pay period | |\n| --- | --- | --- |\n| Nathaniel Stone | September 11-17 | |\n| Total earnings | | $685.00 |\n| Federal income tax | $78.53 | |\n| State income tax | $50.21 | |\n| Other taxes | $52.40 | |\n| Total taxes | | ? |\n| Pay after taxes | | ? |" } ] }, { "id": "25185", "image": "25185.png", "conversations": [ { "from": "human", "question": "At Bluepoint Consulting, the head of human resources examined how the number of employees with health care benefits varied in response to policy changes. According to the table, what was the rate of change between 2017 and 2018?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{47 employees - 41 employees}{2018 - 2017}\n = \\frac{47 employees - 41 employees}{1 year}\n = \\frac{6 employees}{1 year}\n = 6 employees per year\nThe rate of change between 2017 and 2018 was 6 employees per year.", "answer": "6", "table": "**Employees with health care benefits**\n\n| Year | Employees |\n| --- | --- |\n| 2017 | 41 |\n| 2018 | 47 |\n| 2019 | 47 |\n| 2020 | 39 |\n| 2021 | 35 |" } ] }, { "id": "25188", "image": "25188.png", "conversations": [ { "from": "human", "question": "Each shelf has 5 turtleneck sweaters. How many turtleneck sweaters are on 4 shelves?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 20 turtleneck sweaters on 4 shelves.", "answer": "20", "table": "| Number of shelves | Number of turtleneck sweaters |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | ? |" } ] }, { "id": "25202", "image": "25202.png", "conversations": [ { "from": "human", "question": "How much more does a book about South America cost than a book about art?\n" }, { "from": "gpt", "solution": "Subtract the price of a book about art from the price of a book about South America.\n\n$19.47 - $12.23 = $7.24\n\nA book about South America costs $7.24 more than a book about art.", "answer": "7.24", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| book about cars | $14.36 |\n| book about South America | $19.47 |\n| book about art | $12.23 |\n| book about snakes | $22.55 |" } ] }, { "id": "25206", "image": "25206.png", "conversations": [ { "from": "human", "question": "How much more does a llama cost than a tortoise?\n" }, { "from": "gpt", "solution": "Subtract the price of a tortoise from the price of a llama.\n\n$959 - $561 = $398\n\nA llama costs $398 more than a tortoise.", "answer": "398", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| tortoise | $561 |\n| llama | $959 |\n| boa constrictor | $168 |\n| gecko | $352 |\n| parrot | $259 |\n| macaw | $873 |" } ] }, { "id": "25213", "image": "25213.png", "conversations": [ { "from": "human", "question": "Each bracelet has 2 charms. How many charms are on 6 bracelets?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 12 charms on 6 bracelets.", "answer": "12", "table": "| Number of bracelets | Number of charms |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | 6 |\n| 4 | 8 |\n| 5 | 10 |\n| 6 | ? |" } ] }, { "id": "25221", "image": "25221.png", "conversations": [ { "from": "human", "question": "Kingwood will decide whether to extend its public pool's hours by looking at the number of times its residents visited the pool last month. How many people went swimming exactly twice last month?\n" }, { "from": "gpt", "solution": "Find the row for 2 times and read the frequency. The frequency is 0.\n\n0 people went swimming exactly twice last month.", "answer": "0", "table": "**Going swimming last month**\n\n| Number of times | Frequency |\n| --- | --- |\n| 1 | 2 |\n| 2 | 0 |\n| 3 | 18 |\n| 4 | 9 |" } ] }, { "id": "25222", "image": "25222.png", "conversations": [ { "from": "human", "question": "A movie theater manager counted the number of tickets sold each month. How many more tickets did the theater sell in April than in June?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nApril: 8,878\nJune: 4,016\n\nNow subtract: 8,878 - 4,016 = 4,862.\n\nThe theater sold 4,862 more tickets in April.", "answer": "4,862", "table": "**Tickets sold**\n\n| Month | Number of tickets |\n| --- | --- |\n| April | 8,878 |\n| May | 2,298 |\n| June | 4,016 |\n| July | 5,620 |" } ] }, { "id": "25224", "image": "25224.png", "conversations": [ { "from": "human", "question": "A grocery store chain tracked the number of trips people made to its stores last week. How many people went to the grocery store more than 3 times?\n" }, { "from": "gpt", "solution": "Find the rows for 4 and 5 times. Add the frequencies for these rows.\n\nAdd:\n\n10 + 2 = 12\n\n12 people went to the grocery store more than 3 times.", "answer": "12", "table": "**Trips to the grocery store last week**\n\n| Number of trips | Frequency |\n| --- | --- |\n| 1 | 5 |\n| 2 | 11 |\n| 3 | 7 |\n| 4 | 10 |\n| 5 | 2 |" } ] }, { "id": "25226", "image": "25226.png", "conversations": [ { "from": "human", "question": "Professor Russell informed his students of their scores on the midterm exam. How many students scored at least 10 points but fewer than 90 points?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1, 2, 3, 4, 5, 6, 7, and 8.\n\nYou counted 17 leaves, which are blue in the stem-and-leaf plot above. 17 students scored at least 10 points but fewer than 90 points.", "answer": "17", "table": "**Midterm exam scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 7, 8 |\n| 2 | 1, 3, 4 |\n| 3 | 2, 4, 5, 5, 7, 8, 8 |\n| 4 | |\n| 5 | |\n| 6 | |\n| 7 | 1, 2, 4, 8 |\n| 8 | 2 |" } ] }, { "id": "25227", "image": "25227.png", "conversations": [ { "from": "human", "question": "A volunteer for the local running club counted the number of participants at each race. What is the largest number of participants?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 8.\n\nNow find the highest leaf in the last row. The highest leaf is 4.\n\nThe largest number of participants has a stem of 8 and a leaf of 4. Write the stem first, then the leaf: 84.\n\nThe largest number of participants is 84 participants.", "answer": "84", "table": "**Participants per race**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 0, 2, 8 |\n| 4 | 1, 2, 4, 6 |\n| 5 | 4 |\n| 6 | 3, 7, 9, 9 |\n| 7 | 3 |\n| 8 | 4 |" } ] }, { "id": "25243", "image": "25243.png", "conversations": [ { "from": "human", "question": "Each desk has 5 notepads. How many notepads are in 6 desks?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 30 notepads in 6 desks.", "answer": "30", "table": "| Number of desks | Number of notepads |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | 20 |\n| 5 | 25 |\n| 6 | ? |" } ] }, { "id": "25245", "image": "25245.png", "conversations": [ { "from": "human", "question": "A hot dog stand kept track of the number of hot dogs sold each day. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n80, 81, 88, 87, 79\n\nFirst, count how many numbers are in the group.\n\nThere are 5 numbers.\n\nNow add all the numbers together:\n\n80 + 81 + 88 + 87 + 79 = 415\n\nNow divide the sum by the number of numbers:\n\n415 ÷ 5 = 83\n\nThe mean is 83.", "answer": "83", "table": "**Hot dogs sold**\n\n| Day | Number of hot dogs |\n| --- | --- |\n| Thursday | 80 |\n| Friday | 81 |\n| Saturday | 88 |\n| Sunday | 87 |\n| Monday | 79 |" } ] }, { "id": "25249", "image": "25249.png", "conversations": [ { "from": "human", "question": "What is the total cost for 9/10 of a kilogram of hamburger buns?\n" }, { "from": "gpt", "solution": "Find the cost of the hamburger buns. Multiply the price per kilogram by the number of kilograms.\n$4 × \\frac{9}{10} = $4 × 0.9 = $3.60\nThe total cost is $3.60.", "answer": "3.60", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| tortillas | $9/kilogram |\n| rye rolls | $8/kilogram |\n| French rolls | $9/kilogram |\n| spelt rolls | $5/kilogram |\n| hamburger buns | $4/kilogram |\n| hot dog buns | $6/kilogram |" } ] }, { "id": "25251", "image": "25251.png", "conversations": [ { "from": "human", "question": "Some farmers compared how many tractors they own. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n2, 5, 5, 2, 7, 7, 5, 9\n\nFirst, arrange the numbers from least to greatest:\n\n2, 2, 5, 5, 5, 7, 7, 9\n\nNow count how many times each number appears.\n\n2 appears 2 times.\n5 appears 3 times.\n7 appears 2 times.\n9 appears 1 time.\n\nThe number that appears most often is 5.\n\nThe mode is 5.", "answer": "5", "table": "**Tractors**\n\n| Farmer | Number of tractors |\n| --- | --- |\n| Farmer Judy | 2 |\n| Farmer Alex | 5 |\n| Farmer Rob | 5 |\n| Farmer Joe | 2 |\n| Farmer Andy | 7 |\n| Farmer Allison | 7 |\n| Farmer Susie | 5 |\n| Farmer Walt | 9 |" } ] }, { "id": "25252", "image": "25252.png", "conversations": [ { "from": "human", "question": "A farm equipment company kept a record of the number of tractors made each month. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n25, 31, 25, 31, 31, 23, 27, 23\n\nFirst, arrange the numbers from least to greatest:\n\n23, 23, 25, 25, 27, 31, 31, 31\n\nNow count how many times each number appears.\n\n23 appears 2 times.\n25 appears 2 times.\n27 appears 1 time.\n31 appears 3 times.\n\nThe number that appears most often is 31.\n\nThe mode is 31.", "answer": "31", "table": "**Tractors made**\n\n| Month | Number of tractors |\n| --- | --- |\n| April | 25 |\n| May | 31 |\n| June | 25 |\n| July | 31 |\n| August | 31 |\n| September | 23 |\n| October | 27 |\n| November | 23 |" } ] }, { "id": "25256", "image": "25256.png", "conversations": [ { "from": "human", "question": "Some students compared how many pets they have. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n2, 2, 4, 3, 3, 8, 6\n\nFirst, count how many numbers are in the group.\n\nThere are 7 numbers.\n\nNow add all the numbers together:\n\n2 + 2 + 4 + 3 + 3 + 8 + 6 = 28\n\nNow divide the sum by the number of numbers:\n\n28 ÷ 7 = 4\n\nThe mean is 4.", "answer": "4", "table": "**Pets**\n\n| Name | Number of pets |\n| --- | --- |\n| Kristen | 2 |\n| Sophie | 2 |\n| Jerry | 4 |\n| Hakim | 3 |\n| Andy | 3 |\n| Wanda | 8 |\n| Matthew | 6 |" } ] }, { "id": "25257", "image": "25257.png", "conversations": [ { "from": "human", "question": "This is Oliver's complete financial record for September. How much money did Oliver have after he purchased the basketball?\n" }, { "from": "gpt", "solution": "Look at the basketball row. The available funds were $151.60. So, Oliver had $151.60 after he purchased the basketball.\n", "answer": "151.60", "table": "| Date | Description | Received | Expenses | Available Funds |\n| --- | --- | --- | --- | --- |\n| | Balance: end of August | | | $154.90 |\n| 9/1 | notebook | | $6.95 | $147.95 |\n| 9/15 | walking dogs | $15.00 | | $162.95 |\n| 9/21 | basketball | | $11.35 | $151.60 |" } ] }, { "id": "25272", "image": "25272.png", "conversations": [ { "from": "human", "question": "Several people compared how many Web pages they had visited. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n8, 7, 9, 5, 9, 4, 7, 7\n\nFirst, count how many numbers are in the group.\n\nThere are 8 numbers.\n\nNow add all the numbers together:\n\n8 + 7 + 9 + 5 + 9 + 4 + 7 + 7 = 56\n\nNow divide the sum by the number of numbers:\n\n56 ÷ 8 = 7\n\nThe mean is 7.", "answer": "7", "table": "**Web pages visited**\n\n| Person | Number of Web pages |\n| --- | --- |\n| Barry | 8 |\n| Adele | 7 |\n| David | 9 |\n| Emmy | 5 |\n| Carlos | 9 |\n| Vince | 4 |\n| Kari | 7 |\n| Ted | 7 |" } ] }, { "id": "25277", "image": "25277.png", "conversations": [ { "from": "human", "question": "Each laundry hamper has 5 blouses. How many blouses are in 4 laundry hampers?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 20 blouses in 4 laundry hampers.", "answer": "20", "table": "| Number of laundry hampers | Number of blouses |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | ? |" } ] }, { "id": "25284", "image": "25284.png", "conversations": [ { "from": "human", "question": "How much more does a laptop computer cost than a big screen TV?\n" }, { "from": "gpt", "solution": "Subtract the price of a big screen TV from the price of a laptop computer.\n\n$704.00 - $419.00 = $285.00\n\nA laptop computer costs $285.00 more than a big screen TV.", "answer": "285", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| big screen TV | $419.00 |\n| portable DVD player | $317.00 |\n| video game system | $259.00 |\n| laptop computer | $704.00 |\n| stereo speaker | $353.00 |" } ] }, { "id": "25288", "image": "25288.png", "conversations": [ { "from": "human", "question": "Doug's class tracked how many newspapers each student collected for their recycling project. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n85, 86, 87, 86, 85, 85, 86, 86\n\nFirst, arrange the numbers from least to greatest:\n\n85, 85, 85, 86, 86, 86, 86, 87\n\nNow count how many times each number appears.\n\n85 appears 3 times.\n86 appears 4 times.\n87 appears 1 time.\n\nThe number that appears most often is 86.\n\nThe mode is 86.", "answer": "86", "table": "**Newspapers collected**\n\n| Name | Number of newspapers |\n| --- | --- |\n| Doug | 85 |\n| Xavier | 86 |\n| Carly | 87 |\n| Valentina | 86 |\n| Eric | 85 |\n| Ben | 85 |\n| Sam | 86 |\n| Mason | 86 |" } ] }, { "id": "25289", "image": "25289.png", "conversations": [ { "from": "human", "question": "Several people compared how many Web pages they had visited. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 7, 9, 9, 10\n\nFirst, arrange the numbers from least to greatest:\n\n7, 7, 9, 9, 10\n\nNow find the number in the middle.\n\n7, 7, 9, 9, 10\n\nThe number in the middle is 9.\n\nThe median is 9.", "answer": "9", "table": "**Web pages visited**\n\n| Person | Number of Web pages |\n| --- | --- |\n| Alexis | 7 |\n| Wanda | 7 |\n| Roy | 9 |\n| Charlie | 9 |\n| Betty | 10 |" } ] }, { "id": "25296", "image": "25296.png", "conversations": [ { "from": "human", "question": "A jeweler in Milford examined which metals her customers selected for wedding bands last year. What fraction of the rings sold had a silver band? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many rings with a silver band were sold.\n\n130\n\nFind how many rings were sold in total.\n\n130 + 180 + 760 = 1,070\n\nDivide 130 by1,070.\n\n\\frac{130}{1,070}\n\nReduce the fraction.\n\n\\frac{130}{1,070} → \\frac{13}{107}\n\n\\frac{13}{107} of rings with a silver band were sold.", "answer": "13/107", "table": "**Wedding ring preference**\n\n| Metal | Rings bought |\n| --- | --- |\n| Silver | 130 |\n| Gold | 180 |\n| Platinum | 760 |" } ] }, { "id": "25297", "image": "25297.png", "conversations": [ { "from": "human", "question": "This is Duncan's complete financial record for July. On July 5, how much money did Duncan make?\n" }, { "from": "gpt", "solution": "Look at the 7/5 row. The amount received was $15.00. So, Duncan made $15.00 on July 5.\n", "answer": "15", "table": "| Date | Description | Received | Expenses | Available Funds |\n| --- | --- | --- | --- | --- |\n| | Balance: end of June | | | $450.70 |\n| 7/5 | cleaning the Boyers' pool | $15.00 | | $465.70 |\n| 7/17 | bottle of water | | $1.50 | $464.20 |\n| 7/29 | swim trunks | | $16.80 | $447.40 |" } ] }, { "id": "25300", "image": "25300.png", "conversations": [ { "from": "human", "question": "How much more does a crossword puzzle book cost than a science book?\n" }, { "from": "gpt", "solution": "Subtract the price of a science book from the price of a crossword puzzle book.\n\n$15.95 - $15.21 = $0.74\n\nA crossword puzzle book costs $0.74 more than a science book.", "answer": "0.74", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| math book | $11.55 |\n| science book | $15.21 |\n| mystery novel | $16.76 |\n| crossword puzzle book | $15.95 |" } ] }, { "id": "25307", "image": "25307.png", "conversations": [ { "from": "human", "question": "A baseball player paid attention to how many baseballs he hit in practice each day. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n4, 3, 2, 3, 4\n\nFirst, arrange the numbers from least to greatest:\n\n2, 3, 3, 4, 4\n\nNow find the number in the middle.\n\n2, 3, 3, 4, 4\n\nThe number in the middle is 3.\n\nThe median is 3.", "answer": "3", "table": "**Baseballs hit**\n\n| Day | Number of baseballs |\n| --- | --- |\n| Monday | 4 |\n| Tuesday | 3 |\n| Wednesday | 2 |\n| Thursday | 3 |\n| Friday | 4 |" } ] }, { "id": "25308", "image": "25308.png", "conversations": [ { "from": "human", "question": "Zach counted the number of desks in each classroom at his school. How many classrooms have exactly 36 desks?\n" }, { "from": "gpt", "solution": "For the number 36, the stem is 3, and the leaf is 6. Find the row where the stem is 3. In that row, count all the leaves equal to 6.\n\nYou counted 0 leaves. 0 classrooms have exactly 36 desks.", "answer": "0", "table": "**Desks per classroom**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 2, 4, 4, 7, 8, 8, 9 |\n| 2 | 1, 4, 6, 7 |\n| 3 | 3, 4, 4, 7 |\n| 4 | 1, 2, 4, 8, 8 |" } ] }, { "id": "25311", "image": "25311.png", "conversations": [ { "from": "human", "question": "A cheese merchant in Greenpoint sells cheeses from a variety of regions, and he noted how much from each region was sold last year. What fraction of the cheese sold was from Australia? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how much cheese from Australia was sold.\n\n860\n\nFind how much cheese was sold in total.\n\n510 + 860 + 780 = 2,150\n\nDivide 860 by2,150.\n\n\\frac{860}{2,150}\n\nReduce the fraction.\n\n\\frac{860}{2,150} → \\frac{2}{5}\n\n\\frac{2}{5} of Find how much cheese from Australia was sold.", "answer": "2/5", "table": "**Cheese sales**\n\n| Origin | Number of kilograms |\n| --- | --- |\n| France | 510 |\n| Australia | 860 |\n| Other | 780 |" } ] }, { "id": "25316", "image": "25316.png", "conversations": [ { "from": "human", "question": "Jackson found out the sizes of all the clubs at his school. How many clubs have at least 20 members but fewer than 47 members?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 2 and 3.\n\nIn the row with stem 4, count all the leaves less than 7.\n\nYou counted 5 leaves, which are blue in the stem-and-leaf plots above. 5 clubs have at least 20 members but fewer than 47 members.", "answer": "5", "table": "**Club sizes (number of members)**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 2, 3, 7 |\n| 3 | 1 |\n| 4 | 3 |\n| 5 | 0 |\n| 6 | |\n| 7 | 1 |\n| 8 | 4, 5 |" } ] }, { "id": "25320", "image": "25320.png", "conversations": [ { "from": "human", "question": "How much money does Justine need to buy a cornet and an oboe?\n" }, { "from": "gpt", "solution": "Add the price of a cornet and the price of an oboe:\n\n$483.00 + $958.00 = $1,441.00\n\nJustine needs $1,441.00.", "answer": "1,441", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| clarinet | $494.00 |\n| oboe | $958.00 |\n| cornet | $483.00 |\n| flute | $522.00 |" } ] }, { "id": "25323", "image": "25323.png", "conversations": [ { "from": "human", "question": "Some friends compared the sizes of their sticker collections. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 8, 5, 8, 7\n\nFirst, find the greatest number. The greatest number is 8.\n\nNext, find the least number. The least number is 5.\n\nSubtract the least number from the greatest number:\n\n8 − 5 = 3\n\nThe range is 3.", "answer": "3", "table": "**Sticker collections**\n\n| Name | Number of stickers |\n| --- | --- |\n| Devon | 7 |\n| Austin | 8 |\n| Felix | 5 |\n| Malik | 8 |\n| Nolan | 7 |" } ] }, { "id": "25324", "image": "25324.png", "conversations": [ { "from": "human", "question": "If Nancy buys 3/4 of a pound of pistachio pudding, how much will she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the pistachio pudding. Multiply the price per pound by the number of pounds.\n$7 × \\frac{3}{4} = $7 × 0.75 = $5.25\nShe will spend $5.25.", "answer": "5.25", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| vanilla pudding | $6/lb |\n| pistachio pudding | $7/lb |\n| rice pudding | $4/lb |\n| butterscotch pudding | $6/lb |\n| tapioca pudding | $7/lb |\n| chocolate pudding | $6/lb |" } ] }, { "id": "25329", "image": "25329.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which event ends at 12.15 P.M.?\n" }, { "from": "gpt", "solution": "Find 12:15 P. M. on the schedule. The parachute ball toss ends at 12:15 P. M.", "answer": "parachute ball toss", "table": "**Field day schedule**\n\n| Event | Begin | End |\n| --- | --- | --- |\n| parachute ball toss | 11:45 A.M. | 12:15 P.M. |\n| potato sack race | 12:30 P.M. | 12:55 P.M. |\n| three-legged race | 1:00 P.M. | 2:00 P.M. |\n| obstacle course | 2:15 P.M. | 2:35 P.M. |\n| hurdles | 2:45 P.M. | 3:10 P.M. |\n| jump rope race | 3:15 P.M. | 3:30 P.M. |\n| relay race | 3:45 P.M. | 4:00 P.M. |\n| egg relay | 4:05 P.M. | 4:35 P.M. |" } ] }, { "id": "25337", "image": "25337.png", "conversations": [ { "from": "human", "question": "Gary went to the store and bought 5 kilograms of soybean oil, 4 kilograms of sunflower seed oil, and 3 kilograms of vegetable oil. How much did he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the soybean oil. Multiply:\n\n$3 × 5 = $15\n\nFind the cost of the sunflower seed oil. Multiply:\n\n$3 × 4 = $12\n\nFind the cost of the vegetable oil. Multiply:\n\n$2 × 3 = $6\n\nNow find the total cost by adding:\n\n$15 + $12 + $6 = $33\n\nHe spent $33.", "answer": "33", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| peanut oil | $3 per kg |\n| canola oil | $2 per kg |\n| vegetable oil | $2 per kg |\n| soybean oil | $3 per kg |\n| olive oil | $3 per kg |\n| sunflower seed oil | $3 per kg |" } ] }, { "id": "25350", "image": "25350.png", "conversations": [ { "from": "human", "question": "In trying to calculate how much money could be saved by packing lunch, Manny recorded the amount he spent on lunch each day. According to the table, what was the rate of change between Wednesday and Thursday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{$7 - $2}{1 day}\n = \\frac{$5}{1 day}\n = $5 perday\nThe rate of change between Wednesday and Thursday was $5 perday.", "answer": "5", "table": "**Amount Manny spent on lunch**\n\n| Day | Amount spent |\n| --- | --- |\n| Tuesday | $10 |\n| Wednesday | $2 |\n| Thursday | $7 |\n| Friday | $9 |\n| Saturday | $8 |" } ] }, { "id": "25359", "image": "25359.png", "conversations": [ { "from": "human", "question": "A juice shop tracked how many smoothies it sold in the past 4 days. On which day did the shop sell the fewest smoothies?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 228.\n\nNow find the corresponding day. Sunday corresponds to 228.", "answer": "Sunday", "table": "**Smoothies sold**\n\n| Day | Number of smoothies |\n| --- | --- |\n| Saturday | 262 |\n| Sunday | 228 |\n| Monday | 264 |\n| Tuesday | 249 |" } ] }, { "id": "25360", "image": "25360.png", "conversations": [ { "from": "human", "question": "A sports fan decided to examine the pattern of medals won by certain countries at several Olympic games. How many more medals did Brazil win in 2008 than in 2004?\n" }, { "from": "gpt", "solution": "Find the Brazil row. Find the numbers in this row for 2008 and 2004.\n\n2008: 15\n2004: 10\n\nNow subtract:\n\n15 − 10 = 5\n\nBrazil won 5 more medals in 2008 than in 2004.", "answer": "5", "table": "**Olympic medals**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 2004 | 2008 |\n| Finland | 2 | 4 |\n| Brazil | 10 | 15 |\n| Sweden | 7 | 5 |" } ] }, { "id": "25362", "image": "25362.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $1,130, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $1,130, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $770 | 8,100 | 8,900 |\n| $860 | 7,800 | 10,000 |\n| $950 | 7,500 | 11,100 |\n| $1,040 | 7,200 | 12,200 |\n| $1,130 | 6,900 | 13,300 |" } ] }, { "id": "25369", "image": "25369.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $750, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $750, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $750 | 10,000 | 2,600 |\n| $840 | 9,000 | 6,800 |\n| $930 | 8,000 | 11,000 |\n| $1,020 | 7,000 | 15,200 |\n| $1,110 | 6,000 | 19,400 |" } ] }, { "id": "25370", "image": "25370.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $635, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $635, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $295 | 13,600 | 17,000 |\n| $465 | 11,000 | 17,200 |\n| $635 | 8,400 | 17,400 |\n| $805 | 5,800 | 17,600 |\n| $975 | 3,200 | 17,800 |" } ] }, { "id": "25375", "image": "25375.png", "conversations": [ { "from": "human", "question": "Trisha buys 2+1/2 pounds of purple bell peppers. How much does she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the purple bell peppers. Multiply the price per pound by the number of pounds.\n$2 × 2\\frac{1}{2} = $2 × 2.5 = $5\nShe spends $5.", "answer": "5", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| Anaheim peppers | $1 per lb |\n| habanero peppers | $2 per lb |\n| chili peppers | $2 per lb |\n| red bell peppers | $3 per lb |\n| purple bell peppers | $2 per lb |" } ] }, { "id": "25376", "image": "25376.png", "conversations": [ { "from": "human", "question": "Susan has $1.00. Does she have enough to buy a quartz crystal and a piece of fool's gold?\n" }, { "from": "gpt", "solution": "Add the price of a quartz crystal and the price of a piece of fool's gold:\n\n$0.84 + $0.36 = $1.20\n\n$1.20 is more than $1.00. Susan does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| piece of fool's gold | $0.36 |\n| piece of black obsidian | $0.49 |\n| quartz crystal | $0.84 |\n| smooth piece of marble | $0.35 |" } ] }, { "id": "25379", "image": "25379.png", "conversations": [ { "from": "human", "question": "Fans of the Castroville baseball team compared the number of games won by their team each year. According to the table, what was the rate of change between 2016 and 2017?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{45 games - 18 games}{2017 - 2016}\n = \\frac{45 games - 18 games}{1 year}\n = \\frac{27 games}{1 year}\n = 27 games per year\nThe rate of change between 2016 and 2017 was 27 games per year.", "answer": "27", "table": "**Games won by the Castroville baseball team**\n\n| Year | Games won |\n| --- | --- |\n| 2015 | 8 |\n| 2016 | 18 |\n| 2017 | 45 |\n| 2018 | 40 |\n| 2019 | 47 |" } ] }, { "id": "25386", "image": "25386.png", "conversations": [ { "from": "human", "question": "Each shelf has 10 T-shirts. How many T-shirts are on 4 shelves?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 40 T-shirts on 4 shelves.", "answer": "40", "table": "| Number of shelves | Number of T-shirts |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | ? |" } ] }, { "id": "25389", "image": "25389.png", "conversations": [ { "from": "human", "question": "Zach has $50.00. Does he have enough to buy a video game and a red wagon?\n" }, { "from": "gpt", "solution": "Add the price of a video game and the price of a red wagon:\n\n$34.00 + $15.00 = $49.00\n\n$49.00 is less than $50.00. Zach does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| stuffed animal | $12.00 |\n| red wagon | $15.00 |\n| teddy bear | $16.00 |\n| video game | $34.00 |" } ] }, { "id": "25390", "image": "25390.png", "conversations": [ { "from": "human", "question": "Mrs. Lee told students how many rounds to expect in the spelling bee based on previous years. According to the table, what was the rate of change between 2013 and 2014?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{12 rounds - 13 rounds}{2014 - 2013}\n = \\frac{12 rounds - 13 rounds}{1 year}\n = \\frac{-1 rounds}{1 year}\n = -1 rounds per year\nThe rate of change between 2013 and 2014 was - 1 rounds per year.", "answer": "-1", "table": "**Rounds in the spelling bee**\n\n| Year | Rounds |\n| --- | --- |\n| 2011 | 13 |\n| 2012 | 13 |\n| 2013 | 13 |\n| 2014 | 12 |\n| 2015 | 15 |" } ] }, { "id": "25399", "image": "25399.png", "conversations": [ { "from": "human", "question": "Bruce has $0.42. Does he have enough to buy a piece of striped paper and a pale purple note card?\n" }, { "from": "gpt", "solution": "Add the price of a piece of striped paper and the price of a pale purple note card:\n\n$0.32 + $0.11 = $0.43\n\n$0.43 is more than $0.42. Bruce does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| piece of striped paper | $0.32 |\n| sheet of blue and yellow paper | $0.15 |\n| orange envelope | $0.11 |\n| sheet of green paper | $0.25 |\n| pale purple note card | $0.11 |\n| piece of red and purple stationery | $0.42 |" } ] }, { "id": "25402", "image": "25402.png", "conversations": [ { "from": "human", "question": "This table shows Darren's November budget. What could Darren do to balance his budget?\n" }, { "from": "gpt", "solution": "Step 1: Find how much money Darren needs to balance his budget.\nFirst, add Darren's sources of income to find his total income.\n$25 + $45 + $15 = $85\nNext, add Darren's expenses to find his total expenses.\n$40 + $20 + $35 = $95\nDarren's expenses are more than his income. Subtract to find the difference.\n$95 - $85 = $10\nThe difference is $10, so Darren needs an extra $10 to balance his budget.\nStep 2: Find the answer choice that gives Darren an extra $10.\nIncreasing his income by $10 will give Darren the extra money he needs.\nSo, Darren can balance his budget by tutoring to earn $10.", "answer": "tutor to earn an extra $10", "table": "**Darren's November budget**\n\n| Income | Expenses |\n| --- | --- |\n| Pet sitting: $25 | Rocky Ledge ski resort: $40 |\n| Yard work: $45 | Lunch with friends: $20 |\n| Money left over from October: $15 | Camping gear: $35 |" } ] }, { "id": "25411", "image": "25411.png", "conversations": [ { "from": "human", "question": "Jada, a journalism student, counted the number of pages in several major magazines. How many magazines had exactly 39 pages?\n" }, { "from": "gpt", "solution": "For the number 39, the stem is 3, and the leaf is 9. Find the row where the stem is 3. In that row, count all the leaves equal to 9.\n\nYou counted 0 leaves. 0 magazines had exactly 39 pages.", "answer": "0", "table": "**Pages per magazine**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 7 |\n| 4 | 1, 3, 5, 5, 6, 9 |\n| 5 | 4 |\n| 6 | 1, 3 |\n| 7 | 3, 3, 5, 7 |" } ] }, { "id": "25413", "image": "25413.png", "conversations": [ { "from": "human", "question": "The principal of Stafford Elementary School released statistics about how many boys and girls were in each fourth grade class at her school. How many more boys are in Mr. Lopez's class than Miss Smith's class?\n" }, { "from": "gpt", "solution": "Find the Boys column. Find the numbers in this column for Mr. Lopez and Miss Smith.\n\nMr. Lopez: 19\nMiss Smith: 10\n\nNow subtract:\n\n19 − 10 = 9\n\n9 more boys are in Mr. Lopez's class than Miss Smith's class.", "answer": "9", "table": "**Fourth grade classes**\n\n| Teacher | Boys | Girls |\n| --- | --- | --- |\n| Miss Smith | 10 | 17 |\n| Mr. Lopez | 19 | 17 |\n| Miss Fisher | 15 | 11 |\n| Mrs. Carpenter | 16 | 18 |" } ] }, { "id": "25415", "image": "25415.png", "conversations": [ { "from": "human", "question": "Samantha counted the number of words per page in her new book. How many pages have fewer than 90 words?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 3, 4, 5, 6, 7, and 8.\n\nYou counted 20 leaves, which are blue in the stem-and-leaf plot above. 20 pages have fewer than 90 words.", "answer": "20", "table": "**Words per page**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 3, 4, 7 |\n| 4 | 3, 8, 9 |\n| 5 | 0, 6 |\n| 6 | 1, 4, 5, 6, 6, 8 |\n| 7 | 2, 7 |\n| 8 | 0, 7, 7, 7 |" } ] }, { "id": "25424", "image": "25424.png", "conversations": [ { "from": "human", "question": "Jared has $74.00. Does he have enough to buy a picnic table and a red clay pot?\n" }, { "from": "gpt", "solution": "Add the price of a picnic table and the price of a red clay pot:\n\n$53.63 + $18.15 = $71.78\n\n$71.78 is less than $74.00. Jared does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| picnic table | $53.63 |\n| wooden bench | $74.65 |\n| rosebush | $20.44 |\n| lawn chair | $12.90 |\n| lawn mower | $69.22 |\n| red clay pot | $18.15 |" } ] }, { "id": "25427", "image": "25427.png", "conversations": [ { "from": "human", "question": "A furniture store kept a record of how many couches it sold each day. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 2, 2, 3, 3, 7\n\nFirst, find the greatest number. The greatest number is 7.\n\nNext, find the least number. The least number is 2.\n\nSubtract the least number from the greatest number:\n\n7 − 2 = 5\n\nThe range is 5.", "answer": "5", "table": "**Couches sold**\n\n| Day | Number of couches |\n| --- | --- |\n| Tuesday | 7 |\n| Wednesday | 2 |\n| Thursday | 2 |\n| Friday | 3 |\n| Saturday | 3 |\n| Sunday | 7 |" } ] }, { "id": "25444", "image": "25444.png", "conversations": [ { "from": "human", "question": "Mr. Griffith recorded the scores of his students on the most recent math quiz. Which score did the fewest people receive?\n" }, { "from": "gpt", "solution": "Look at the frequency column. Find the least frequency. The least frequency is 0, which is in the row for 7. The fewest people scored 7.", "answer": "7", "table": "**Scores on the math quiz**\n\n| Score | Frequency |\n| --- | --- |\n| 5 | 12 |\n| 6 | 2 |\n| 7 | 0 |\n| 8 | 4 |\n| 9 | 6 |\n| 10 | 13 |" } ] }, { "id": "25446", "image": "25446.png", "conversations": [ { "from": "human", "question": "Lakewood will decide whether to extend its public pool's hours by looking at the number of times its residents visited the pool last month. How many people are there in all?\n" }, { "from": "gpt", "solution": "Add the frequencies for each row.\n\nAdd:\n\n5 + 9 + 3 + 18 + 20 = 55\n\nThere are 55 people in all.", "answer": "55", "table": "**Going swimming last month**\n\n| Number of times | Frequency |\n| --- | --- |\n| 1 | 5 |\n| 2 | 9 |\n| 3 | 3 |\n| 4 | 18 |\n| 5 | 20 |" } ] }, { "id": "25447", "image": "25447.png", "conversations": [ { "from": "human", "question": "An ice cream shop kept track of how many ice cream cones it sold in the past 4 days. On which day did the shop sell the most ice cream cones?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 69.\n\nNow find the corresponding day. Tuesday corresponds to 69.", "answer": "Tuesday", "table": "**Ice cream cones sold**\n\n| Day | Number of ice cream cones |\n| --- | --- |\n| Saturday | 61 |\n| Sunday | 65 |\n| Monday | 62 |\n| Tuesday | 69 |" } ] }, { "id": "25449", "image": "25449.png", "conversations": [ { "from": "human", "question": "An author kept a log of how many pages he wrote in the past 4 days. On which day did the author write the most?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 88.\n\nNow find the corresponding day. Thursday corresponds to 88.", "answer": "Thursday", "table": "**Pages written**\n\n| Day | Number of pages |\n| --- | --- |\n| Wednesday | 87 |\n| Thursday | 88 |\n| Friday | 83 |\n| Saturday | 85 |" } ] }, { "id": "25453", "image": "25453.png", "conversations": [ { "from": "human", "question": "In a study on public parking, the director of transportation counted the number of cars in each of the city's parking lots. What is the smallest number of cars?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 1.\n\nNow find the lowest leaf in the first row. The lowest leaf is 2.\n\nThe smallest number of cars has a stem of 1 and a leaf of 2. Write the stem first, then the leaf: 12.\n\nThe smallest number of cars is 12 cars.", "answer": "12", "table": "**Cars per parking lot**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 2, 2, 9 |\n| 2 | 4, 7, 8 |\n| 3 | 2, 5, 9 |\n| 4 | 0, 0, 1, 3 |" } ] }, { "id": "25454", "image": "25454.png", "conversations": [ { "from": "human", "question": "Charlie wants to buy 1 kilogram of peanut butter. How much will he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the peanut butter. Multiply the price per kilogram by the number of kilograms.\n$2 × 1 = $2\nHe will spend $2.", "answer": "2", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| sunflower seed butter | $2 per kg |\n| peanut butter | $2 per kg |\n| macadamia nut butter | $2 per kg |\n| cashew butter | $2 per kg |\n| almond butter | $3 per kg |\n| walnut butter | $2 per kg |" } ] }, { "id": "25455", "image": "25455.png", "conversations": [ { "from": "human", "question": "The city recorded how many fire hydrants there are on each street. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 6, 9, 5, 1, 4, 4, 2\n\nFirst, count how many numbers are in the group.\n\nThere are 8 numbers.\n\nNow add all the numbers together:\n\n9 + 6 + 9 + 5 + 1 + 4 + 4 + 2 = 40\n\nNow divide the sum by the number of numbers:\n\n40 ÷ 8 = 5\n\nThe mean is 5.", "answer": "5", "table": "**Fire hydrants**\n\n| Street | Number of hydrants |\n| --- | --- |\n| Rose Street | 9 |\n| Aspen Street | 6 |\n| Oak Street | 9 |\n| Maple Street | 5 |\n| Pine Street | 1 |\n| Fir Street | 4 |\n| Cherry Street | 4 |\n| Elm Street | 2 |" } ] }, { "id": "25457", "image": "25457.png", "conversations": [ { "from": "human", "question": "Annie's coach wrote down how many kilometers she had run over the past 6 days. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 8, 10, 1, 1, 1\n\nFirst, count how many numbers are in the group.\n\nThere are 6 numbers.\n\nNow add all the numbers together:\n\n9 + 8 + 10 + 1 + 1 + 1 = 30\n\nNow divide the sum by the number of numbers:\n\n30 ÷ 6 = 5\n\nThe mean is 5.", "answer": "5", "table": "**Kilometers run**\n\n| Day | Kilometers |\n| --- | --- |\n| Friday | 9 |\n| Saturday | 8 |\n| Sunday | 10 |\n| Monday | 1 |\n| Tuesday | 1 |\n| Wednesday | 1 |" } ] }, { "id": "25461", "image": "25461.png", "conversations": [ { "from": "human", "question": "Diego went to the store. He bought 1/10 of a kilogram of marinara sauce. How much did he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the marinara sauce. Multiply the price per kilogram by the number of kilograms.\n$3 × \\frac{1}{10} = $3 × 0.1 = $0.30\nHe spent $0.30.", "answer": "0.30", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| marinara sauce | $3/kilogram |\n| tomato sauce | $3/kilogram |\n| alfredo sauce | $3/kilogram |\n| chicken sauce | $3/kilogram |\n| pesto sauce | $2/kilogram |\n| beef sauce | $3/kilogram |" } ] }, { "id": "25469", "image": "25469.png", "conversations": [ { "from": "human", "question": "How much money does Tanner need to buy a finch and a cockatoo?\n" }, { "from": "gpt", "solution": "Add the price of a finch and the price of a cockatoo:\n\n$85.62 + $48.00 = $133.62\n\nTanner needs $133.62.", "answer": "133.62", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| finch | $85.62 |\n| bearded dragon | $13.04 |\n| rabbit | $50.01 |\n| cockatoo | $48.00 |\n| scorpion | $29.10 |" } ] }, { "id": "25470", "image": "25470.png", "conversations": [ { "from": "human", "question": "Aaliyah has $1.50. Does she have enough to buy a cup of coffee and a brownie?\n" }, { "from": "gpt", "solution": "Add the price of a cup of coffee and the price of a brownie:\n\n$0.84 + $0.80 = $1.64\n\n$1.64 is more than $1.50. Aaliyah does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pickle | $0.63 |\n| brownie | $0.80 |\n| cup of coffee | $0.84 |\n| bottle of water | $0.96 |\n| glass of lemonade | $0.81 |\n| cup of orange juice | $0.85 |" } ] }, { "id": "25472", "image": "25472.png", "conversations": [ { "from": "human", "question": "How much money does Naomi need to buy a hair tie, a box of breath mints, and a comb?\n" }, { "from": "gpt", "solution": "Find the total cost of a hair tie, a box of breath mints, and a comb.\n\n$0.57 + $0.94 + $0.96 = $2.47\n\nNaomi needs $2.47.", "answer": "2.47", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| hair tie | $0.57 |\n| box of breath mints | $0.94 |\n| tube of toothpaste | $0.97 |\n| comb | $0.96 |" } ] }, { "id": "25480", "image": "25480.png", "conversations": [ { "from": "human", "question": "Ms. Landry reported her students' scores on the most recent quiz. How many students scored fewer than 55 points?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1, 2, 3, and 4.\n\nIn the row with stem 5, count all the leaves less than 5.\n\nYou counted 11 leaves, which are blue in the stem-and-leaf plots above. 11 students scored fewer than 55 points.", "answer": "11", "table": "**Quiz scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1, 2, 5 |\n| 2 | 1, 1, 2, 4 |\n| 3 | |\n| 4 | 4, 6, 9 |\n| 5 | 2, 7 |\n| 6 | 4, 6 |\n| 7 | |\n| 8 | 5, 7 |\n| 9 | 0 |" } ] }, { "id": "25483", "image": "25483.png", "conversations": [ { "from": "human", "question": "Jack kept track of how many laps he swam during the past 6 days. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 8, 10, 8, 8, 10\n\nFirst, arrange the numbers from least to greatest:\n\n6, 8, 8, 8, 10, 10\n\nNow count how many times each number appears.\n\n6 appears 1 time.\n8 appears 3 times.\n10 appears 2 times.\n\nThe number that appears most often is 8.\n\nThe mode is 8.", "answer": "8", "table": "**Laps swum**\n\n| Day | Number of laps |\n| --- | --- |\n| Thursday | 6 |\n| Friday | 8 |\n| Saturday | 10 |\n| Sunday | 8 |\n| Monday | 8 |\n| Tuesday | 10 |" } ] }, { "id": "25485", "image": "25485.png", "conversations": [ { "from": "human", "question": "How much money does Brennan need to buy a shapes stencil and a green bouncy ball?\n" }, { "from": "gpt", "solution": "Add the price of a shapes stencil and the price of a green bouncy ball:\n\n$0.02 + $0.04 = $0.06\n\nBrennan needs $0.06.", "answer": "0.06", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| wooden block | $0.08 |\n| shapes stencil | $0.02 |\n| red kazoo | $0.06 |\n| green bouncy ball | $0.04 |\n| green marble | $0.04 |\n| blue plastic block | $0.09 |" } ] }, { "id": "25490", "image": "25490.png", "conversations": [ { "from": "human", "question": "Each shopping bag has 2 CDs. How many CDs are in 4 shopping bags?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 8 CDs in 4 shopping bags.", "answer": "8", "table": "| Number of shopping bags | Number of CDs |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | 6 |\n| 4 | ? |" } ] }, { "id": "25495", "image": "25495.png", "conversations": [ { "from": "human", "question": "A consultant working with a candy factory requested information on the amount of taffy made each day. How many pieces of taffy did the factory make total on Friday and Saturday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nFriday: 4,535\nSaturday: 7,891\n\nNow add: 4,535 + 7,891 = 12,426.\n\nThe factory made 12,426 pieces of taffy on Friday and Saturday.", "answer": "12,426", "table": "**Taffy made**\n\n| Day | Number of pieces of taffy |\n| --- | --- |\n| Thursday | 7,946 |\n| Friday | 4,535 |\n| Saturday | 7,891 |" } ] }, { "id": "25496", "image": "25496.png", "conversations": [ { "from": "human", "question": "A county agency recorded the money donated to several charitable causes over time. Which cause raised less money in June, hunger or parks?\n" }, { "from": "gpt", "solution": "Find the June column. Compare the numbers in this column for hunger and parks.\n\n$15.00 is less than $18.00. In June, less money was raised for hunger.", "answer": "hunger", "table": "**Donations received**\n\n| Cause | May | June |\n| --- | --- | --- |\n| Education | $10 | $19 |\n| Animals | $9 | $14 |\n| Parks | $11 | $18 |\n| Hunger | $2 | $15 |" } ] }, { "id": "25501", "image": "25501.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $765, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $765, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $675 | 17,400 | 2,200 |\n| $765 | 15,100 | 6,700 |\n| $855 | 12,800 | 11,200 |\n| $945 | 10,500 | 15,700 |\n| $1,035 | 8,200 | 20,200 |" } ] }, { "id": "25517", "image": "25517.png", "conversations": [ { "from": "human", "question": "Brooke bought 5 kilograms of raspberry vinaigrette and 5 kilograms of blue cheese dressing. How much did she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the raspberry vinaigrette. Multiply:\n\n$2.47 × 5 = $12.35\n\nFind the cost of the blue cheese dressing. Multiply:\n\n$1.76 × 5 = $8.80\n\nNow find the total cost by adding:\n\n$12.35 + $8.80 = $21.15\n\nShe spent $21.15.", "answer": "21.15", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| Thousand Island dressing | $3.10 per kilogram |\n| blue cheese dressing | $1.76 per kilogram |\n| raspberry vinaigrette | $2.47 per kilogram |\n| Italian dressing | $2.40 per kilogram |\n| ranch dressing | $1.65 per kilogram |" } ] }, { "id": "25530", "image": "25530.png", "conversations": [ { "from": "human", "question": "Some friends played golf and compared their scores. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n79, 84, 85, 81, 83, 82, 85, 85\n\nFirst, count how many numbers are in the group.\n\nThere are 8 numbers.\n\nNow add all the numbers together:\n\n79 + 84 + 85 + 81 + 83 + 82 + 85 + 85 = 664\n\nNow divide the sum by the number of numbers:\n\n664 ÷ 8 = 83\n\nThe mean is 83.", "answer": "83", "table": "**Golf scores**\n\n| Name | Score |\n| --- | --- |\n| Andrew | 79 |\n| Ron | 84 |\n| Krysta | 85 |\n| Latrell | 81 |\n| Naomi | 83 |\n| Sadie | 82 |\n| Carter | 85 |\n| Miranda | 85 |" } ] }, { "id": "25533", "image": "25533.png", "conversations": [ { "from": "human", "question": "A technical support line tracked how many calls it received each day. How many calls total did the support line receive on Friday and Saturday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nFriday: 1,356\nSaturday: 8,148\n\nNow add: 1,356 + 8,148 = 9,504.\n\nThe support line received 9,504 calls on Friday and Saturday.", "answer": "9,504", "table": "**Phone calls received**\n\n| Day | Number of calls |\n| --- | --- |\n| Wednesday | 8,383 |\n| Thursday | 2,270 |\n| Friday | 1,356 |\n| Saturday | 8,148 |" } ] }, { "id": "25539", "image": "25539.png", "conversations": [ { "from": "human", "question": "The Newberg Chamber of Commerce compared the local dealerships' vehicle sales. What fraction of the vehicles were sold by RV City? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many vehicles were sold by RV City.\n\n990\n\nFind how many vehicles were sold in total.\n\n500 + 990 + 590 = 2,080\n\nDivide 990 by2,080.\n\n\\frac{990}{2,080}\n\nReduce the fraction.\n\n\\frac{990}{2,080} → \\frac{99}{208}\n\n\\frac{99}{208} of vehicles were sold by RV City.", "answer": "99/208", "table": "**Vehicle sales**\n\n| Dealership | Number of vehicles |\n| --- | --- |\n| Tri-City Cars | 500 |\n| RV City | 990 |\n| Other | 590 |" } ] }, { "id": "25549", "image": "25549.png", "conversations": [ { "from": "human", "question": "Harry counted the number of words per page in his new book. What is the smallest number of words?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 2.\n\nNow find the lowest leaf in the first row. The lowest leaf is 0.\n\nThe smallest number of words has a stem of 2 and a leaf of 0. Write the stem first, then the leaf: 20.\n\nThe smallest number of words is 20 words.", "answer": "20", "table": "**Words per page**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 0, 1, 8, 8 |\n| 3 | 1, 3, 3, 9 |\n| 4 | 2, 3, 7 |\n| 5 | 9 |\n| 6 | 5, 8 |\n| 7 | 6, 6, 7, 8 |\n| 8 | 1, 2, 4, 9 |" } ] }, { "id": "25550", "image": "25550.png", "conversations": [ { "from": "human", "question": "Reagan wrote down how many glasses of water she drank during the past 7 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n5, 5, 5, 10, 7, 9, 8\n\nFirst, find the greatest number. The greatest number is 10.\n\nNext, find the least number. The least number is 5.\n\nSubtract the least number from the greatest number:\n\n10 − 5 = 5\n\nThe range is 5.", "answer": "5", "table": "**Glasses of water**\n\n| Day | Number of glasses |\n| --- | --- |\n| Thursday | 5 |\n| Friday | 5 |\n| Saturday | 5 |\n| Sunday | 10 |\n| Monday | 7 |\n| Tuesday | 9 |\n| Wednesday | 8 |" } ] }, { "id": "25556", "image": "25556.png", "conversations": [ { "from": "human", "question": "Each train car has 10 people. How many people are in 4 train cars?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 40 people in 4 train cars.", "answer": "40", "table": "| Number of train cars | Number of people |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | ? |" } ] }, { "id": "25561", "image": "25561.png", "conversations": [ { "from": "human", "question": "Rosanne buys 0.4 pounds of strawberry ice cream. What is the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the strawberry ice cream. Multiply the price per pound by the number of pounds.\n$2 × 0.4 = $0.80\nThe total cost is $0.80.", "answer": "0.80", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| strawberry ice cream | $2 per lb |\n| cookie dough ice cream | $4 per lb |\n| cherry ice cream | $2 per lb |\n| double chocolate ice cream | $4 per lb |" } ] }, { "id": "25579", "image": "25579.png", "conversations": [ { "from": "human", "question": "Marcy's Candies has been studying how much chocolate people have been eating in different countries. In 2005, how much more chocolate did Germany consume per capita than Poland?\n" }, { "from": "gpt", "solution": "Find the 2005 column. Find the numbers in this column for Germany and Poland.\n\nGermany: 11\nPoland: 4\n\nNow subtract:\n\n11 − 4 = 7\n\nIn 2005, Germany consumed 7 kilograms more chocolate per capita than Poland.", "answer": "7", "table": "**Chocolate consumption per capita (kg)**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 2002 | 2005 |\n| Germany | 10 | 11 |\n| Poland | 3 | 4 |\n| Australia | 4 | 5 |" } ] }, { "id": "25589", "image": "25589.png", "conversations": [ { "from": "human", "question": "A grocery store tracked how many bananas it sold each day. How many bananas in total did the store sell on Thursday and Friday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nThursday: 790\nFriday: 293\n\nNow add: 790 + 293 = 1,083.\n\nThe store sold 1,083 bananas on Thursday and Friday.", "answer": "1,083", "table": "**Bananas sold**\n\n| Day | Number of bananas |\n| --- | --- |\n| Thursday | 790 |\n| Friday | 293 |\n| Saturday | 150 |\n| Sunday | 102 |" } ] }, { "id": "25594", "image": "25594.png", "conversations": [ { "from": "human", "question": "A museum curator counted the number of paintings in each exhibit at the art museum. What is the largest number of paintings?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 6.\n\nNow find the highest leaf in the last row. The highest leaf is 8.\n\nThe largest number of paintings has a stem of 6 and a leaf of 8. Write the stem first, then the leaf: 68.\n\nThe largest number of paintings is 68 paintings.", "answer": "68", "table": "**Paintings per exhibit**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 2, 2, 4, 7 |\n| 2 | 1, 5 |\n| 3 | 7, 9 |\n| 4 | 2, 4, 4 |\n| 5 | 4, 6, 9 |\n| 6 | 2, 8 |" } ] }, { "id": "25596", "image": "25596.png", "conversations": [ { "from": "human", "question": "The parks department compared how many soccer fields there are at each park. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n8, 1, 3, 8, 3, 4, 4, 1\n\nFirst, count how many numbers are in the group.\n\nThere are 8 numbers.\n\nNow add all the numbers together:\n\n8 + 1 + 3 + 8 + 3 + 4 + 4 + 1 = 32\n\nNow divide the sum by the number of numbers:\n\n32 ÷ 8 = 4\n\nThe mean is 4.", "answer": "4", "table": "**Soccer fields**\n\n| Park | Number of soccer fields |\n| --- | --- |\n| Lighthouse Park | 8 |\n| Crane Park | 1 |\n| Canyon Park | 3 |\n| Middle Park | 8 |\n| Moon Park | 3 |\n| Windy Hill Park | 4 |\n| Madison Park | 4 |\n| Juniper Park | 1 |" } ] }, { "id": "25600", "image": "25600.png", "conversations": [ { "from": "human", "question": "The teachers at an elementary school counted how many desks they had in their classrooms. Which teacher has the most desks?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 39.\n\nNow find the corresponding teacher. Mr. Mehta corresponds to 39.", "answer": "Mr. Mehta", "table": "**Desks in classrooms**\n\n| Teacher | Number of desks |\n| --- | --- |\n| Miss Petit | 35 |\n| Miss Yang | 32 |\n| Mrs. Jensen | 38 |\n| Mr. Mehta | 39 |" } ] }, { "id": "25611", "image": "25611.png", "conversations": [ { "from": "human", "question": "Kyle kept track of how long it took to finish his homework each day. According to the table, what was the rate of change between Wednesday and Thursday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{35 minutes - 34 minutes}{1 day}\n = \\frac{1 minute}{1 day}\n = 1 minute per day\nThe rate of change between Wednesday and Thursday was 1 minute per day.", "answer": "1", "table": "**Time Kyle spent on homework**\n\n| Day | Minutes |\n| --- | --- |\n| Sunday | 27 |\n| Monday | 34 |\n| Tuesday | 34 |\n| Wednesday | 34 |\n| Thursday | 35 |" } ] }, { "id": "25613", "image": "25613.png", "conversations": [ { "from": "human", "question": "Alan measured the length of each scarf in the clothing store where he works. How many scarves are less than 97 centimeters?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 6, 7, and 8.\n\nIn the row with stem 9, count all the leaves less than 7.\n\nYou counted 8 leaves, which are blue in the stem-and-leaf plots above. 8 scarves are less than 97 centimeters.", "answer": "8", "table": "**Scarf lengths (centimeters)**\n\n| Stem | Leaf |\n| --- | --- |\n| 6 | 9 |\n| 7 | 3, 8 |\n| 8 | 0, 1, 3, 3 |\n| 9 | 0 |" } ] }, { "id": "25620", "image": "25620.png", "conversations": [ { "from": "human", "question": "The gym teacher wrote down how many tennis balls his students hit in half an hour. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n76, 65, 67, 62, 63, 57\n\nFirst, find the greatest number. The greatest number is 76.\n\nNext, find the least number. The least number is 57.\n\nSubtract the least number from the greatest number:\n\n76 − 57 = 19\n\nThe range is 19.", "answer": "19", "table": "**Hitting tennis balls**\n\n| Name | Number of tennis balls |\n| --- | --- |\n| Fred | 76 |\n| Roger | 65 |\n| Adele | 67 |\n| Miranda | 62 |\n| Joy | 63 |\n| Tom | 57 |" } ] }, { "id": "25626", "image": "25626.png", "conversations": [ { "from": "human", "question": "The town council reported on how many stop signs there are on each street. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n2, 5, 1, 2, 3\n\nFirst, find the greatest number. The greatest number is 5.\n\nNext, find the least number. The least number is 1.\n\nSubtract the least number from the greatest number:\n\n5 − 1 = 4\n\nThe range is 4.", "answer": "4", "table": "**Stop signs**\n\n| Street | Number of stop signs |\n| --- | --- |\n| Peabody Street | 2 |\n| Marshall Street | 5 |\n| Smith Street | 1 |\n| Jackson Street | 2 |\n| Watson Street | 3 |" } ] }, { "id": "25631", "image": "25631.png", "conversations": [ { "from": "human", "question": "Manny wants to buy 5 kilograms of kidney beans, 2 kilograms of lentils, and 1 kilogram of garbanzo beans. How much will he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the kidney beans. Multiply:\n\n$1.02 × 5 = $5.10\n\nFind the cost of the lentils. Multiply:\n\n$0.93 × 2 = $1.86\n\nFind the cost of the garbanzo beans. Multiply:\n\n$1.27 × 1 = $1.27\n\nNow find the total cost by adding:\n\n$5.10 + $1.86 + $1.27 = $8.23\n\nHe will spend $8.23.", "answer": "8.23", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| kidney beans | $1.02/kg |\n| lentils | $0.93/kg |\n| garbanzo beans | $1.27/kg |\n| lima beans | $0.45/kg |" } ] }, { "id": "25633", "image": "25633.png", "conversations": [ { "from": "human", "question": "Colin found a list of the number of roller coasters at each amusement park in the state. How many amusement parks have at least 20 roller coasters?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 2, 3, and 4.\n\nYou counted 15 leaves, which are blue in the stem-and-leaf plot above. 15 amusement parks have at least 20 roller coasters.", "answer": "15", "table": "**Roller coasters per amusement park**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 7, 8 |\n| 2 | 0, 1, 4, 7, 9 |\n| 3 | 5, 6, 7, 9 |\n| 4 | 3, 4, 6, 6, 7, 9 |" } ] }, { "id": "25634", "image": "25634.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which event begins at 2.25 P.M.?\n" }, { "from": "gpt", "solution": "Find 2:25 P. M. on the schedule. The reptile show begins at 2:25 P. M.", "answer": "reptile show", "table": "**Zoo schedule**\n\n| Event | Begin | End |\n| --- | --- | --- |\n| giraffe feeding | 8:40 A.M. | 9:40 A.M. |\n| panda lecture | 10:35 A.M. | 11:40 A.M. |\n| penguin feeding | 12:25 P.M. | 1:25 P.M. |\n| reptile show | 2:25 P.M. | 3:35 P.M. |\n| bird show | 4:45 P.M. | 5:35 P.M. |" } ] }, { "id": "25647", "image": "25647.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $35, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $35, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $15 | 10,000 | 14,800 |\n| $35 | 8,700 | 15,800 |\n| $55 | 7,400 | 16,800 |\n| $75 | 6,100 | 17,800 |\n| $95 | 4,800 | 18,800 |" } ] }, { "id": "25670", "image": "25670.png", "conversations": [ { "from": "human", "question": "A machine dispensed red gumdrops into bags of various sizes. How many bags had at least 53 red gumdrops but less than 74 red gumdrops?\n" }, { "from": "gpt", "solution": "Find the row with stem 5. Count all the leaves greater than or equal to 3.\n\nCount all the leaves in the row with stem 6.\n\nIn the row with stem 7, count all the leaves less than 4.\n\nYou counted 6 leaves, which are blue in the stem-and-leaf plots above. 6 bags had at least 53 red gumdrops but less than 74 red gumdrops.", "answer": "6", "table": "**Red gumdrops per bag**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 4, 6, 8, 9 |\n| 3 | 1, 2 |\n| 4 | 3 |\n| 5 | 2, 9, 9 |\n| 6 | 0, 1, 4, 6 |\n| 7 | 5, 5, 7 |\n| 8 | |\n| 9 | 0 |" } ] }, { "id": "25673", "image": "25673.png", "conversations": [ { "from": "human", "question": "The financial aid office at Jordan University produced an internal report on the number of students receiving scholarships. According to the table, what was the rate of change between 2012 and 2013?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{25 students - 28 students}{2013 - 2012}\n = \\frac{25 students - 28 students}{1 year}\n = \\frac{-3 students}{1 year}\n = -3 students per year\nThe rate of change between 2012 and 2013 was - 3 students per year.", "answer": "-3", "table": "**Students receiving scholarships**\n\n| Year | Students |\n| --- | --- |\n| 2010 | 21 |\n| 2011 | 23 |\n| 2012 | 28 |\n| 2013 | 25 |\n| 2014 | 29 |" } ] }, { "id": "25678", "image": "25678.png", "conversations": [ { "from": "human", "question": "A farmer examined each building on his farm to determine how many lights needed repair. Are there more lights in the garage or the barn?\n" }, { "from": "gpt", "solution": "Add the numbers in the Garage row. Then, add the numbers in the Barn row.\n\ngarage: 10 + 5 = 15\nbarn: 6 + 3 = 9\n\n15 is more than 9. There are more lights in the garage.", "answer": "garage", "table": "**Lights on the farm**\n\n| Building | Broken lights | Working lights |\n| --- | --- | --- |\n| Stable | 2 | 2 |\n| Barn | 6 | 3 |\n| Garage | 10 | 5 |\n| Mill | 8 | 5 |" } ] }, { "id": "25686", "image": "25686.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which event ends at 12.00 P.M.?\n" }, { "from": "gpt", "solution": "Find 12:00 P. M. on the schedule. The jump rope race ends at 12:00 P. M.", "answer": "jump rope race", "table": "**Field day schedule**\n\n| Event | Begin | End |\n| --- | --- | --- |\n| balloon stomp | 10:35 A.M. | 11:30 A.M. |\n| jump rope race | 11:40 A.M. | 12:00 P.M. |\n| three-legged race | 12:05 P.M. | 12:45 P.M. |\n| potato sack race | 12:50 P.M. | 1:50 P.M. |\n| relay race | 2:00 P.M. | 2:35 P.M. |\n| parachute ball toss | 2:45 P.M. | 3:45 P.M. |\n| hurdles | 3:50 P.M. | 4:45 P.M. |\n| bean bag toss | 4:50 P.M. | 5:30 P.M. |" } ] }, { "id": "25687", "image": "25687.png", "conversations": [ { "from": "human", "question": "A machine at the candy factory dispensed different numbers of lemon-flavored candies into various bags. What is the smallest number of lemon-flavored candies?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 5.\n\nNow find the lowest leaf in the first row. The lowest leaf is 3.\n\nThe smallest number of lemon-flavored candies has a stem of 5 and a leaf of 3. Write the stem first, then the leaf: 53.\n\nThe smallest number of lemon-flavored candies is 53 lemon-flavored candies.", "answer": "53", "table": "**Lemon-flavored candies per bag**\n\n| Stem | Leaf |\n| --- | --- |\n| 5 | 3, 6 |\n| 6 | 0, 0, 0, 3, 4, 5, 9 |\n| 7 | 0, 3, 4, 5, 8 |\n| 8 | 2, 2, 5, 7, 9 |" } ] }, { "id": "25692", "image": "25692.png", "conversations": [ { "from": "human", "question": "An economist tracked the amount of per-capita aid sent from the U.S. to various countries during the 1900s. Per capita, how much more aid did Algeria receive in 1975 than in 1985?\n" }, { "from": "gpt", "solution": "Find the Algeria row. Find the numbers in this row for 1975 and 1985.\n\n1975: $11.00\n1985: $8.00\n\nNow subtract:\n\n$11.00 − $8.00 = $3.00\n\nPer capita, Algeria received $3 more in aid in 1975 than in 1985.", "answer": "3", "table": "**Aid received per capita from the U.S.**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 1975 | 1985 |\n| Afghanistan | $5 | $1 |\n| Pakistan | $9 | $8 |\n| Nepal | $3 | $14 |\n| Algeria | $11 | $8 |" } ] }, { "id": "25693", "image": "25693.png", "conversations": [ { "from": "human", "question": "An administrator at the Department of Motor Vehicles (DMV) tracked the average wait time from month to month. According to the table, what was the rate of change between May and June?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{28 minutes - 24 minutes}{1 month}\n = \\frac{4 minutes}{1 month}\n = 4 minutes per month\nThe rate of change between May and June was 4 minutes per month.", "answer": "4", "table": "**Average waiting time at the DMV**\n\n| Month | Waiting time (minutes) |\n| --- | --- |\n| May | 24 |\n| June | 28 |\n| July | 35 |\n| August | 36 |\n| September | 17 |" } ] }, { "id": "25695", "image": "25695.png", "conversations": [ { "from": "human", "question": "Sue's family went on a road trip and counted the number of cars they saw each day. On which day did they see the fewest cars?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 323.\n\nNow find the corresponding day. Friday corresponds to 323.", "answer": "Friday", "table": "**Number of cars**\n\n| Day | Number of cars |\n| --- | --- |\n| Thursday | 324 |\n| Friday | 323 |\n| Saturday | 342 |\n| Sunday | 334 |" } ] }, { "id": "25702", "image": "25702.png", "conversations": [ { "from": "human", "question": "Paul just downloaded the new game Gem Excavator on his phone. In the first level, Paul gains points for each green gem he finds. However, he loses points for each red gem he finds. The table shows how the gems affect Paul's points. Which color gem affects Paul's points less?\n" }, { "from": "gpt", "solution": "To find the gem that affects Paul's points less, use absolute value. Absolute value tells you how much Paul's points change for each color gem.\nGreen: |25| = 25\nRed: |-40| = 40\nPaul gains 25 points for each green gem he finds, and he loses 40 points for each red gem he finds. So, the green gems affect Paul's points less.", "answer": "green", "table": "| Gem color | Change in points |\n| --- | --- |\n| Green | 25 |\n| Red | -40 |" } ] }, { "id": "25704", "image": "25704.png", "conversations": [ { "from": "human", "question": "A magazine editor looked at her sales figures for the past 3 months. How many more copies were sold in May than in April?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nMay: 5,123\nApril: 3,287\n\nNow subtract: 5,123 - 3,287 = 1,836.\n\n1,836 more copies were sold in May.", "answer": "1,836", "table": "**Magazines sold**\n\n| Month | Number of magazines |\n| --- | --- |\n| March | 6,337 |\n| April | 3,287 |\n| May | 5,123 |" } ] }, { "id": "25719", "image": "25719.png", "conversations": [ { "from": "human", "question": "A grocery store monitored how many paper bags were used in the past 3 days. How many more paper bags did the grocery store use on Sunday than on Saturday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nSunday: 579\nSaturday: 104\n\nNow subtract: 579 - 104 = 475.\n\nThe grocery store used 475 more paper bags on Sunday.", "answer": "475", "table": "**Paper bags used**\n\n| Day | Number of paper bags |\n| --- | --- |\n| Saturday | 104 |\n| Sunday | 579 |\n| Monday | 782 |" } ] }, { "id": "25721", "image": "25721.png", "conversations": [ { "from": "human", "question": "Look at Raphael's pay stub. Raphael lives in a state that has state income tax. How much did Raphael make after taxes?\n" }, { "from": "gpt", "solution": "Find how much Raphael made after taxes. Find the total payroll tax, then subtract it from the total earnings.\nTo find the total payroll tax, add the federal income tax, state income tax, and other taxes.\nThe total earnings are $2,400.00. The total payroll tax is $592.20. Subtract to find the difference.\n$2,400.00 - $592.20 = $1,807.80\nRaphael made $1,807.80 after taxes.", "answer": "1,807.80", "table": "| Employee | Pay period | |\n| --- | --- | --- |\n| Raphael Cruz | November | |\n| Total earnings | | $2,400.00 |\n| Federal income tax | $266.60 | |\n| State income tax | $142.00 | |\n| Other taxes | $183.60 | |\n| Total taxes | | ? |\n| Pay after taxes | | ? |" } ] }, { "id": "25728", "image": "25728.png", "conversations": [ { "from": "human", "question": "The bird-watching club recorded how many birds its members saw each month. In which month did the club see the most birds?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 881.\n\nNow find the corresponding month. October corresponds to 881.", "answer": "October", "table": "**Number of birds seen**\n\n| Month | Number of birds |\n| --- | --- |\n| October | 881 |\n| November | 841 |\n| December | 818 |\n| January | 848 |" } ] }, { "id": "25729", "image": "25729.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does the Cardinals versus Cobras game begin?\n" }, { "from": "gpt", "solution": "Find the Cardinals versus Cobras game on the schedule. Find the beginning time for the Cardinals versus Cobras game.\n\nCardinals versus Cobras: 5:45 P. M.", "answer": "5:45 P.M.", "table": "**Soccer tournament schedule**\n\n| Game | Begin | End |\n| --- | --- | --- |\n| Thunder versus Eagles | 10:55 A.M. | 12:25 P.M. |\n| Lions versus Blue Jays | 12:05 P.M. | 1:35 P.M. |\n| Hawks versus Jaguars | 1:25 P.M. | 2:55 P.M. |\n| Dolphins versus Bears | 2:40 P.M. | 4:10 P.M. |\n| Sharks versus Storm | 3:45 P.M. | 5:15 P.M. |\n| Fire versus Blizzard | 4:10 P.M. | 5:40 P.M. |\n| Lightning versus Coyotes | 5:10 P.M. | 6:40 P.M. |\n| Cardinals versus Cobras | 5:45 P.M. | 7:15 P.M. |\n| Tigers versus Wolves | 6:25 P.M. | 7:55 P.M. |\n| Waves versus Alligators | 7:15 P.M. | 8:45 P.M. |" } ] }, { "id": "25732", "image": "25732.png", "conversations": [ { "from": "human", "question": "How much money does Dalton need to buy a finch and a king snake?\n" }, { "from": "gpt", "solution": "Add the price of a finch and the price of a king snake:\n\n$101 + $256 = $357\n\nDalton needs $357.", "answer": "357", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| cockatoo | $207 |\n| finch | $101 |\n| chameleon | $184 |\n| king snake | $256 |" } ] }, { "id": "25733", "image": "25733.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{6 - 12}{6 - 5}\n = \\frac{-6}{1}\n = -6\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{0 - 6}{7 - 6}\n = \\frac{-6}{1}\n = -6\nThe two rates of change are the same.\n6.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 5 | 12 |\n| 6 | 6 |\n| 7 | 0 |" } ] }, { "id": "25742", "image": "25742.png", "conversations": [ { "from": "human", "question": "Lily's Candies has been studying how much chocolate people have been eating in different countries. Which country consumed less chocolate per capita in 2005, Belgium or Sweden?\n" }, { "from": "gpt", "solution": "Find the 2005 column. Compare the numbers in this column for Belgium and Sweden.\n\n7 is less than 11. Sweden consumed less chocolate per capita in 2005.", "answer": "Sweden", "table": "**Chocolate consumption per capita (kg)**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 2002 | 2005 |\n| Denmark | 9 | 8 |\n| Belgium | 8 | 11 |\n| Sweden | 8 | 7 |\n| Poland | 3 | 4 |\n| Switzerland | 11 | 10 |" } ] }, { "id": "25744", "image": "25744.png", "conversations": [ { "from": "human", "question": "Farid jotted down how many baskets he made during basketball practice each day. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n15, 27, 15, 23, 22, 17, 28\n\nFirst, count how many numbers are in the group.\n\nThere are 7 numbers.\n\nNow add all the numbers together:\n\n15 + 27 + 15 + 23 + 22 + 17 + 28 = 147\n\nNow divide the sum by the number of numbers:\n\n147 ÷ 7 = 21\n\nThe mean is 21.", "answer": "21", "table": "**Baskets made**\n\n| Day | Number of baskets |\n| --- | --- |\n| Saturday | 15 |\n| Sunday | 27 |\n| Monday | 15 |\n| Tuesday | 23 |\n| Wednesday | 22 |\n| Thursday | 17 |\n| Friday | 28 |" } ] }, { "id": "25747", "image": "25747.png", "conversations": [ { "from": "human", "question": "The parks department compared how many soccer fields there are at each park. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n1, 8, 5, 10, 8, 10, 8\n\nFirst, arrange the numbers from least to greatest:\n\n1, 5, 8, 8, 8, 10, 10\n\nNow find the number in the middle.\n\n1, 5, 8, 8, 8, 10, 10\n\nThe number in the middle is 8.\n\nThe median is 8.", "answer": "8", "table": "**Soccer fields**\n\n| Park | Number of soccer fields |\n| --- | --- |\n| Canyon Park | 1 |\n| Moon Park | 8 |\n| Lighthouse Park | 5 |\n| Madison Park | 10 |\n| Windy Hill Park | 8 |\n| Juniper Park | 10 |\n| Elmhurst Park | 8 |" } ] }, { "id": "25749", "image": "25749.png", "conversations": [ { "from": "human", "question": "What is the total cost for 2.4 kilograms of spherical beads?\n" }, { "from": "gpt", "solution": "Find the cost of the spherical beads. Multiply the price per kilogram by the number of kilograms.\n$3 × 2.4 = $7.20\nThe total cost is $7.20.", "answer": "7.20", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| star-shaped beads | $2 per kilogram |\n| spherical beads | $3 per kilogram |\n| square beads | $3 per kilogram |\n| oval beads | $3 per kilogram |\n| flower-shaped beads | $2 per kilogram |" } ] }, { "id": "25759", "image": "25759.png", "conversations": [ { "from": "human", "question": "Riley has $70.50. Does she have enough to buy a hockey ticket and a soccer ticket?\n" }, { "from": "gpt", "solution": "Add the price of a hockey ticket and the price of a soccer ticket:\n\n$26.71 + $45.00 = $71.71\n\n$71.71 is more than $70.50. Riley does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| tennis ticket | $78.40 |\n| soccer ticket | $45.00 |\n| hockey ticket | $26.71 |\n| golf ticket | $84.10 |" } ] }, { "id": "25760", "image": "25760.png", "conversations": [ { "from": "human", "question": "A pair of Howard High School hockey fans counted the number of games won by the school each year. According to the table, what was the rate of change between 2017 and 2018?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{15 games - 20 games}{2018 - 2017}\n = \\frac{15 games - 20 games}{1 year}\n = \\frac{-5 games}{1 year}\n = -5 games per year\nThe rate of change between 2017 and 2018 was - 5 games per year.", "answer": "-5", "table": "**Hockey games won by Howard High**\n\n| Year | Games won |\n| --- | --- |\n| 2015 | 11 |\n| 2016 | 15 |\n| 2017 | 20 |\n| 2018 | 15 |\n| 2019 | 4 |" } ] }, { "id": "25764", "image": "25764.png", "conversations": [ { "from": "human", "question": "Each tree has 10 sparrows. How many sparrows are in 3 trees?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 30 sparrows in 3 trees.", "answer": "30", "table": "| Number of trees | Number of sparrows |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | ? |" } ] }, { "id": "25776", "image": "25776.png", "conversations": [ { "from": "human", "question": "Sandeep counted the number of pairs of shoes for sale at each of the shoe stores in the mall. How many stores have at least 40 pairs of shoes?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 4, 5, 6, and 7.\n\nYou counted 5 leaves, which are blue in the stem-and-leaf plot above. 5 stores have at least 40 pairs of shoes.", "answer": "5", "table": "**Pairs of shoes per store**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 4 |\n| 3 | 2 |\n| 4 | 4 |\n| 5 | 9 |\n| 6 | 4, 6 |\n| 7 | 0 |" } ] }, { "id": "25783", "image": "25783.png", "conversations": [ { "from": "human", "question": "Some teachers compared how many years they have been teaching. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n5, 10, 10, 5, 6, 10, 10, 6\n\nFirst, arrange the numbers from least to greatest:\n\n5, 5, 6, 6, 10, 10, 10, 10\n\nNow count how many times each number appears.\n\n5 appears 2 times.\n6 appears 2 times.\n10 appears 4 times.\n\nThe number that appears most often is 10.\n\nThe mode is 10.", "answer": "10", "table": "**Years of teaching**\n\n| Teacher | Number of years |\n| --- | --- |\n| Mr. Nakamura | 5 |\n| Mrs. Ramirez | 10 |\n| Mr. Perez | 10 |\n| Mr. Gutierrez | 5 |\n| Mr. Park | 6 |\n| Miss Torres | 10 |\n| Miss Lim | 10 |\n| Miss Watson | 6 |" } ] }, { "id": "25789", "image": "25789.png", "conversations": [ { "from": "human", "question": "At a swim meet, Tyler noted the size of various swim teams. How many teams have at least 23 swimmers?\n" }, { "from": "gpt", "solution": "Find the row with stem 2. Count all the leaves greater than or equal to 3.\n\nCount all the leaves in the rows with stems 3, 4, 5, and 6.\n\nYou counted 15 leaves, which are blue in the stem-and-leaf plots above. 15 teams have at least 23 swimmers.", "answer": "15", "table": "**Swimming team sizes (number of swimmers)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 1, 3, 5 |\n| 2 | 4, 5, 6, 6, 7 |\n| 3 | 1, 3 |\n| 4 | 6, 9 |\n| 5 | 1, 2, 3, 9 |\n| 6 | 0, 2 |" } ] }, { "id": "25798", "image": "25798.png", "conversations": [ { "from": "human", "question": "A reporter looked through his notebook to remember how many people he had interviewed in the past 6 days. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n2, 3, 7, 5, 3, 4\n\nFirst, count how many numbers are in the group.\n\nThere are 6 numbers.\n\nNow add all the numbers together:\n\n2 + 3 + 7 + 5 + 3 + 4 = 24\n\nNow divide the sum by the number of numbers:\n\n24 ÷ 6 = 4\n\nThe mean is 4.", "answer": "4", "table": "**People interviewed**\n\n| Day | Number of people |\n| --- | --- |\n| Thursday | 2 |\n| Friday | 3 |\n| Saturday | 7 |\n| Sunday | 5 |\n| Monday | 3 |\n| Tuesday | 4 |" } ] }, { "id": "25811", "image": "25811.png", "conversations": [ { "from": "human", "question": "For an assignment, Russell looked at which countries got the most Nobel Prizes in various decades. How many more Nobel Prize winners did Canada have in the 1990s than in the 1980s?\n" }, { "from": "gpt", "solution": "Find the Canada row. Find the numbers in this row for 1990 s and 1980 s.\n\n1990s: 8\n1980s: 3\n\nNow subtract:\n\n8 − 3 = 5\n\nCanada had 5 more Nobel Prize winners in the 1990 s than in the 1980 s.", "answer": "5", "table": "**Nobel Prize winners**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 1980s | 1990s |\n| Germany | 11 | 7 |\n| Italy | 3 | 1 |\n| Canada | 3 | 8 |" } ] }, { "id": "25813", "image": "25813.png", "conversations": [ { "from": "human", "question": "Every year Salem has a citywide relay and reports the winning times. According to the table, what was the rate of change between 2011 and 2012?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{27 minutes - 24 minutes}{2012 - 2011}\n = \\frac{27 minutes - 24 minutes}{1 year}\n = \\frac{3 minutes}{1 year}\n = 3 minutes per year\nThe rate of change between 2011 and 2012 was 3 minutes per year.", "answer": "3", "table": "**Winning relay times**\n\n| Year | Winning time (minutes) |\n| --- | --- |\n| 2009 | 26 |\n| 2010 | 37 |\n| 2011 | 24 |\n| 2012 | 27 |\n| 2013 | 21 |" } ] }, { "id": "25815", "image": "25815.png", "conversations": [ { "from": "human", "question": "Some dealerships compared their vehicle sales. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n19, 19, 13, 17, 27, 13\n\nFirst, find the greatest number. The greatest number is 27.\n\nNext, find the least number. The least number is 13.\n\nSubtract the least number from the greatest number:\n\n27 − 13 = 14\n\nThe range is 14.", "answer": "14", "table": "**Vehicle sales**\n\n| Dealership | Number of vehicles |\n| --- | --- |\n| Affordable Cars | 19 |\n| RV City | 19 |\n| Truck City | 13 |\n| Ledbetter Auto Mall | 17 |\n| Ben's Used Cars | 27 |\n| Cars of Pryor Falls | 13 |" } ] }, { "id": "25817", "image": "25817.png", "conversations": [ { "from": "human", "question": "Use the data to answer the question below. Is the following statement about our solar system true or false? Three-quarters of the planets are larger than Venus.\n" }, { "from": "gpt", "solution": "The table tells you that there are five planets larger than Venus: Earth, Jupiter, Saturn, Uranus, and Neptune. There are eight planets total. Five-eighths is less than three-quarters. So, five-eighths of the planets are larger than Venus.", "answer": "false", "table": "**Planet Volume (billions of km3) Primary composition**\n\n| Column 1 | Column 2 |\n| --- | --- |\n| Mercury | 60 rock |\n| Venus | 930 rock |\n| Earth | 1,090 rock |\n| Mars | 160 rock |\n| Jupiter | 1,431,280 gas |\n| Saturn | 827,130 gas |\n| Uranus | 68,330 ice |\n| Neptune | 62,530 ice |" } ] }, { "id": "25818", "image": "25818.png", "conversations": [ { "from": "human", "question": "A philanthropic organization compared the amounts of money that its members donated to certain causes. How much did Jayce donate to hunger prevention?\n" }, { "from": "gpt", "solution": "First, find the row for Jayce. Then find the number in the Hunger prevention column.\n\nThis number is $3.00. Jayce donated $3 to hunger prevention.", "answer": "3", "table": "**Donations**\n\n| Person | Job training | Hunger prevention |\n| --- | --- | --- |\n| Darrell | $6 | $11 |\n| Sofia | $17 | $6 |\n| Jayce | $6 | $3 |" } ] }, { "id": "25819", "image": "25819.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{14 - 13}{11 - 10}\n = \\frac{1}{1}\n = 1\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{16 - 14}{12 - 11}\n = \\frac{2}{1}\n = 2\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 10 | 13 |\n| 11 | 14 |\n| 12 | 16 |" } ] }, { "id": "25833", "image": "25833.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Haley got on the train at Dover at 1.45 P.M. What time will she get to Middletown?\n" }, { "from": "gpt", "solution": "Find 1:45 P. M. in the row for Dover. That column shows the schedule for the train that Haley is on.\n\nLook down the column until you find the row for Middletown.\n\nHaley will get to Middletown at 4:30 P. M.", "answer": "4:30 P.M.", "table": "**Train schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 |\n| --- | --- | --- | --- |\n| Clarksville | 7:00 A.M. | 7:45 A.M. | 8:30 A.M. |\n| Arcadia | 8:45 A.M. | 9:30 A.M. | 10:15 A.M. |\n| Fairview | 9:30 A.M. | 10:15 A.M. | 11:00 A.M. |\n| Somerville | 11:30 A.M. | 12:15 P.M. | 1:00 P.M. |\n| Dover | 12:15 P.M. | 1:00 P.M. | 1:45 P.M. |\n| Newton | 2:00 P.M. | 2:45 P.M. | 3:30 P.M. |\n| Middletown | 3:00 P.M. | 3:45 P.M. | 4:30 P.M. |\n| Silvergrove | 4:30 P.M. | 5:15 P.M. | 6:00 P.M. |\n| Morristown | 5:15 P.M. | 6:00 P.M. | 6:45 P.M. |" } ] }, { "id": "25836", "image": "25836.png", "conversations": [ { "from": "human", "question": "Each shelf has 10 boxes of cereal. How many boxes of cereal are on 5 shelves?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 50 boxes of cereal on 5 shelves.", "answer": "50", "table": "| Number of shelves | Number of boxes of cereal |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | 40 |\n| 5 | ? |" } ] }, { "id": "25848", "image": "25848.png", "conversations": [ { "from": "human", "question": "The owner of a bed and breakfast inn recalled how many guests the inn had hosted each day. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 2, 6, 7, 5, 2, 3\n\nFirst, arrange the numbers from least to greatest:\n\n2, 2, 3, 5, 6, 7, 9\n\nNow find the number in the middle.\n\n2, 2, 3, 5, 6, 7, 9\n\nThe number in the middle is 5.\n\nThe median is 5.", "answer": "5", "table": "**Inn guests**\n\n| Day | Number of guests |\n| --- | --- |\n| Friday | 9 |\n| Saturday | 2 |\n| Sunday | 6 |\n| Monday | 7 |\n| Tuesday | 5 |\n| Wednesday | 2 |\n| Thursday | 3 |" } ] }, { "id": "25851", "image": "25851.png", "conversations": [ { "from": "human", "question": "Kathleen jotted down how many minutes she spent practicing piano in the past 3 days. How many minutes did Kathleen practice in total on Monday and Tuesday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nMonday: 146\nTuesday: 103\n\nNow add: 146 + 103 = 249.\n\nKathleen practiced 249 minutes on Monday and Tuesday.", "answer": "249", "table": "**Minutes spent practicing**\n\n| Day | Minutes |\n| --- | --- |\n| Monday | 146 |\n| Tuesday | 103 |\n| Wednesday | 100 |" } ] }, { "id": "25852", "image": "25852.png", "conversations": [ { "from": "human", "question": "Naomi has $0.50. Does she have enough to buy an elastic band and a spool of gold wire?\n" }, { "from": "gpt", "solution": "Add the price of an elastic band and the price of a spool of gold wire:\n\n$0.17 + $0.40 = $0.57\n\n$0.57 is more than $0.50. Naomi does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| roll of electrical tape | $0.39 |\n| brass clip | $0.17 |\n| spool of gold wire | $0.40 |\n| short steel screw | $0.17 |\n| elastic band | $0.17 |\n| gold tack | $0.18 |" } ] }, { "id": "25854", "image": "25854.png", "conversations": [ { "from": "human", "question": "A soccer coach asked the members of his team how many times they played soccer last week. How many people played soccer at least 2 times?\n" }, { "from": "gpt", "solution": "Find the rows for 2 and 3 times. Add the frequencies for these rows.\n\nAdd:\n\n13 + 20 = 33\n\n33 people played soccer at least 2 times.", "answer": "33", "table": "**Playing soccer last week**\n\n| Times played | Frequency |\n| --- | --- |\n| 0 | 3 |\n| 1 | 14 |\n| 2 | 13 |\n| 3 | 20 |" } ] }, { "id": "25858", "image": "25858.png", "conversations": [ { "from": "human", "question": "How much money does Jennifer need to buy a computer printer and a microwave?\n" }, { "from": "gpt", "solution": "Add the price of a computer printer and the price of a microwave:\n\n$79.55 + $95.72 = $175.27\n\nJennifer needs $175.27.", "answer": "175.27", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| calculator | $96.73 |\n| microwave | $95.72 |\n| computer printer | $79.55 |\n| radio | $29.15 |" } ] }, { "id": "25864", "image": "25864.png", "conversations": [ { "from": "human", "question": "Some friends discussed the sizes of their coin collections. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n63, 61, 60, 64, 67, 63\n\nFirst, find the greatest number. The greatest number is 67.\n\nNext, find the least number. The least number is 60.\n\nSubtract the least number from the greatest number:\n\n67 − 60 = 7\n\nThe range is 7.", "answer": "7", "table": "**Coin collections**\n\n| Name | Number of coins |\n| --- | --- |\n| Quincy | 63 |\n| Carson | 61 |\n| Farid | 60 |\n| Travis | 64 |\n| Miles | 67 |\n| Rose | 63 |" } ] }, { "id": "25876", "image": "25876.png", "conversations": [ { "from": "human", "question": "How much money does Leon need to buy 3 hammers?\n" }, { "from": "gpt", "solution": "Find the total cost of 3 hammers by multiplying 3 times the price of a hammer.\n\n$10.74 × 3 = $32.22\n\nLeon needs $32.22.", "answer": "32.22", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| ladder | $42.15 |\n| hammer | $10.74 |\n| wrench | $14.71 |\n| shovel | $19.79 |\n| broom | $16.29 |\n| can of paint | $12.44 |" } ] }, { "id": "25877", "image": "25877.png", "conversations": [ { "from": "human", "question": "After a field trip to the park, students in Mrs. Montoya's art class counted the number of leaf rubbings they had made. How many students are there in all?\n" }, { "from": "gpt", "solution": "Add the frequencies for each row.\n\nAdd:\n\n18 + 12 + 6 + 0 + 16 + 9 = 61\n\nThere are 61 students in all.", "answer": "61", "table": "**Making leaf rubbings**\n\n| Leaf rubbings made | Frequency |\n| --- | --- |\n| 0 | 18 |\n| 1 | 12 |\n| 2 | 6 |\n| 3 | 0 |\n| 4 | 16 |\n| 5 | 9 |" } ] }, { "id": "25881", "image": "25881.png", "conversations": [ { "from": "human", "question": "For an economics project, Jada determined the cost of ferry rides for bicycles and cars. On the Fauntleroy-Vashon ferry, how much higher is the fare for a car than for a bicycle?\n" }, { "from": "gpt", "solution": "Find the Fauntleroy-Vashon row. Find the numbers in this row for car and bicycle.\n\ncar: $15.00\nbicycle: $5.00\n\nNow subtract:\n\n$15.00 − $5.00 = $10.00\n\nOn the Fauntleroy-Vashon ferry, the fare for a car is $10 higher than the fare for a bicycle.", "answer": "10", "table": "**Ferry fares**\n\n| Ferry | Bicycle | Car |\n| --- | --- | --- |\n| Fauntleroy-Vashon | $5 | $15 |\n| Mukilteu-Clinton | $5 | $7 |\n| Seattle-Bremerton | $8 | $12 |\n| Southport-Fort Fisher | $2 | $5 |\n| Ocracoke | $3 | $15 |" } ] }, { "id": "25883", "image": "25883.png", "conversations": [ { "from": "human", "question": "Darell recalled how many goals he had made in soccer practice each day. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 6, 1, 7, 3, 4, 4\n\nFirst, arrange the numbers from least to greatest:\n\n1, 3, 4, 4, 6, 7, 7\n\nNow find the number in the middle.\n\n1, 3, 4, 4, 6, 7, 7\n\nThe number in the middle is 4.\n\nThe median is 4.", "answer": "4", "table": "**Goals made**\n\n| Day | Number of goals |\n| --- | --- |\n| Saturday | 7 |\n| Sunday | 6 |\n| Monday | 1 |\n| Tuesday | 7 |\n| Wednesday | 3 |\n| Thursday | 4 |\n| Friday | 4 |" } ] }, { "id": "25885", "image": "25885.png", "conversations": [ { "from": "human", "question": "Mona graphed the amount of snow that fell in the last 7 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 6, 9, 3, 7, 10, 9\n\nFirst, arrange the numbers from least to greatest:\n\n3, 6, 6, 7, 9, 9, 10\n\nNow find the number in the middle.\n\n3, 6, 6, 7, 9, 9, 10\n\nThe number in the middle is 7.\n\nThe median is 7.", "answer": "7", "table": "**Daily snowfall**\n\n| Day | Snowfall (inches) |\n| --- | --- |\n| Wednesday | 6 |\n| Thursday | 6 |\n| Friday | 9 |\n| Saturday | 3 |\n| Sunday | 7 |\n| Monday | 10 |\n| Tuesday | 9 |" } ] }, { "id": "25887", "image": "25887.png", "conversations": [ { "from": "human", "question": "How much money does Aaron need to buy a digital camera and an MP3 player?\n" }, { "from": "gpt", "solution": "Add the price of a digital camera and the price of an MP 3 player:\n\n$919.00 + $455.00 = $1,374.00\n\nAaron needs $1,374.00.", "answer": "1,374", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| digital camera | $919.00 |\n| laptop computer | $526.00 |\n| big screen TV | $449.00 |\n| MP3 player | $455.00 |" } ] }, { "id": "25896", "image": "25896.png", "conversations": [ { "from": "human", "question": "How much money does Dean need to buy a bottle of olive oil and a jar of strawberry jam?\n" }, { "from": "gpt", "solution": "Add the price of a bottle of olive oil and the price of a jar of strawberry jam:\n\n$5.39 + $2.28 = $7.67\n\nDean needs $7.67.", "answer": "7.67", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| jar of salsa | $3.08 |\n| jar of honey | $5.41 |\n| bottle of hot sauce | $3.08 |\n| bottle of olive oil | $5.39 |\n| jar of tomato sauce | $1.92 |\n| jar of strawberry jam | $2.28 |" } ] }, { "id": "25898", "image": "25898.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $1,420, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $1,420, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $910 | 21,000 | 16,000 |\n| $1,080 | 17,100 | 16,800 |\n| $1,250 | 13,200 | 17,600 |\n| $1,420 | 9,300 | 18,400 |\n| $1,590 | 5,400 | 19,200 |" } ] }, { "id": "25900", "image": "25900.png", "conversations": [ { "from": "human", "question": "Every year Newport has a citywide relay and reports the winning times. According to the table, what was the rate of change between 2007 and 2008?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{22 minutes - 25 minutes}{2008 - 2007}\n = \\frac{22 minutes - 25 minutes}{1 year}\n = \\frac{-3 minutes}{1 year}\n = -3 minutes per year\nThe rate of change between 2007 and 2008 was - 3 minutes per year.", "answer": "-3", "table": "**Winning relay times**\n\n| Year | Winning time (minutes) |\n| --- | --- |\n| 2007 | 25 |\n| 2008 | 22 |\n| 2009 | 31 |\n| 2010 | 27 |\n| 2011 | 22 |" } ] }, { "id": "25902", "image": "25902.png", "conversations": [ { "from": "human", "question": "For an assignment, Darnell looked at which countries got the most Nobel Prizes in various decades. In the 1970s, how many more Nobel Prize winners did Russia have than Canada?\n" }, { "from": "gpt", "solution": "Find the 1970 s column. Find the numbers in this column for Russia and Canada.\n\nRussia: 5\nCanada: 2\n\nNow subtract:\n\n5 − 2 = 3\n\nRussia had 3 more Nobel Prize winners in the 1970 s than Canada.", "answer": "3", "table": "**Nobel Prize winners**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 1970s | 1980s |\n| Russia | 5 | 1 |\n| Italy | 2 | 3 |\n| Holland | 2 | 2 |\n| Canada | 2 | 3 |\n| Germany | 9 | 11 |" } ] }, { "id": "25903", "image": "25903.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which event ends at 1.55 P.M.?\n" }, { "from": "gpt", "solution": "Find 1:55 P. M. on the schedule. The steeplechase ends at 1:55 P. M.", "answer": "steeplechase", "table": "**Track meet schedule**\n\n| Event | Begin | End |\n| --- | --- | --- |\n| men's relay | 11:05 A.M. | 11:55 A.M. |\n| high jump | 12:05 P.M. | 1:00 P.M. |\n| steeplechase | 1:15 P.M. | 1:55 P.M. |\n| pole vault | 2:00 P.M. | 2:55 P.M. |\n| discus throw | 3:10 P.M. | 3:45 P.M. |" } ] }, { "id": "25908", "image": "25908.png", "conversations": [ { "from": "human", "question": "In a study on public parking, the director of transportation counted the number of cars in each of the city's parking lots. How many parking lots had at least 30 cars?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 3, 4, 5, 6, 7, and 8.\n\nYou counted 24 leaves, which are blue in the stem-and-leaf plot above. 24 parking lots had at least 30 cars.", "answer": "24", "table": "**Cars per parking lot**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 6 |\n| 4 | 3, 4, 6, 8 |\n| 5 | 1, 3, 5, 7, 8, 9 |\n| 6 | 0, 1, 2, 7 |\n| 7 | 1, 3, 5, 5, 7 |\n| 8 | 2, 4, 5, 8 |" } ] }, { "id": "25911", "image": "25911.png", "conversations": [ { "from": "human", "question": "Jonathan just downloaded the new game Gem Excavator on his phone. In the first level, Jonathan gains points for each green gem he finds. However, he loses points for each red gem he finds. The table shows how the gems affect Jonathan's points. Which color gem affects Jonathan's points less?\n" }, { "from": "gpt", "solution": "To find the gem that affects Jonathan's points less, use absolute value. Absolute value tells you how much Jonathan's points change for each color gem.\nGreen: |25| = 25\nRed: |-40| = 40\nJonathan gains 25 points for each green gem he finds, and he loses 40 points for each red gem he finds. So, the green gems affect Jonathan's points less.", "answer": "green", "table": "| Gem color | Change in points |\n| --- | --- |\n| Green | 25 |\n| Red | -40 |" } ] }, { "id": "25913", "image": "25913.png", "conversations": [ { "from": "human", "question": "Mary went on a bird watching trip and jotted down the number of birds she saw each day. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n58, 58, 63, 58, 63\n\nFirst, arrange the numbers from least to greatest:\n\n58, 58, 58, 63, 63\n\nNow count how many times each number appears.\n\n58 appears 3 times.\n63 appears 2 times.\n\nThe number that appears most often is 58.\n\nThe mode is 58.", "answer": "58", "table": "**Number of birds**\n\n| Day | Number of birds |\n| --- | --- |\n| Friday | 58 |\n| Saturday | 58 |\n| Sunday | 63 |\n| Monday | 58 |\n| Tuesday | 63 |" } ] }, { "id": "25914", "image": "25914.png", "conversations": [ { "from": "human", "question": "An agricultural agency is researching how much cheese people have been eating in different parts of the world. In 1996, how much more cheese did Germany consume per capita than Australia?\n" }, { "from": "gpt", "solution": "Find the 1996 column. Find the numbers in this column for Germany and Australia.\n\nGermany: 12\nAustralia: 10\n\nNow subtract:\n\n12 − 10 = 2\n\nIn 1996, Germany consumed 2 kilograms more cheese per capita than Australia.", "answer": "2", "table": "**Cheese consumption per capita (kg)**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 1996 | 2006 |\n| Australia | 10 | 10 |\n| Austria | 10 | 17 |\n| Argentina | 11 | 11 |\n| Germany | 12 | 20 |\n| Great Britain | 9 | 10 |" } ] }, { "id": "25924", "image": "25924.png", "conversations": [ { "from": "human", "question": "A jeweler in Arlington examined which metals her customers selected for wedding bands last year. What fraction of the rings sold had a silver band? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many rings with a silver band were sold.\n\n360\n\nFind how many rings were sold in total.\n\n360 + 260 + 130 = 750\n\nDivide 360 by 750.\n\n\\frac{360}{750}\n\nReduce the fraction.\n\n\\frac{360}{750} → \\frac{12}{25}\n\n\\frac{12}{25} of rings with a silver band were sold.", "answer": "12/25", "table": "**Wedding ring preference**\n\n| Metal | Rings bought |\n| --- | --- |\n| Silver | 360 |\n| Platinum | 260 |\n| Gold | 130 |" } ] }, { "id": "25931", "image": "25931.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{6 - 16}{2 - 1}\n = \\frac{-10}{1}\n = -10\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{5 - 6}{3 - 2}\n = \\frac{-1}{1}\n = -1\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 1 | 16 |\n| 2 | 6 |\n| 3 | 5 |" } ] }, { "id": "25936", "image": "25936.png", "conversations": [ { "from": "human", "question": "The school district compared how many swings each elementary school has. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n2, 4, 4, 4, 13\n\nFirst, arrange the numbers from least to greatest:\n\n2, 4, 4, 4, 13\n\nNow find the number in the middle.\n\n2, 4, 4, 4, 13\n\nThe number in the middle is 4.\n\nThe median is 4.", "answer": "4", "table": "**Swings**\n\n| School | Number of swings |\n| --- | --- |\n| Jefferson Elementary | 2 |\n| Sierra Elementary | 4 |\n| Hillside Elementary | 4 |\n| Roseville Elementary | 4 |\n| Lincoln Elementary | 13 |" } ] }, { "id": "25942", "image": "25942.png", "conversations": [ { "from": "human", "question": "Some friends compared the sizes of their stuffed animal collections. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 9, 8, 6, 10\n\nFirst, arrange the numbers from least to greatest:\n\n6, 8, 9, 9, 10\n\nNow find the number in the middle.\n\n6, 8, 9, 9, 10\n\nThe number in the middle is 9.\n\nThe median is 9.", "answer": "9", "table": "**Stuffed animal collections**\n\n| Name | Number of stuffed animals |\n| --- | --- |\n| Tiana | 9 |\n| Mitch | 9 |\n| Riley | 8 |\n| Lucy | 6 |\n| Seth | 10 |" } ] }, { "id": "25948", "image": "25948.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $1,430, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $1,430, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $980 | 9,900 | 11,900 |\n| $1,130 | 8,500 | 14,200 |\n| $1,280 | 7,100 | 16,500 |\n| $1,430 | 5,700 | 18,800 |\n| $1,580 | 4,300 | 21,100 |" } ] }, { "id": "25949", "image": "25949.png", "conversations": [ { "from": "human", "question": "Each coat rack has 2 umbrellas. How many umbrellas are on 4 coat racks?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 8 umbrellas on 4 coat racks.", "answer": "8", "table": "| Number of coat racks | Number of umbrellas |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | 6 |\n| 4 | ? |" } ] }, { "id": "25950", "image": "25950.png", "conversations": [ { "from": "human", "question": "The state board of education compared how many students are in each school district. How many students are there in the Lakeview District and the Union District combined?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nLakeview District: 6,934\nUnion District: 8,041\n\nNow add: 6,934 + 8,041 = 14,975.\n\nThere are 14,975 students in the Lakeview District and the Union District combined.", "answer": "14,975", "table": "**Students in each school district**\n\n| District | Number of students |\n| --- | --- |\n| Township District | 8,056 |\n| Lakeview District | 6,934 |\n| Union District | 8,041 |\n| Springfield District | 2,759 |\n| Rivercrest District | 2,728 |" } ] }, { "id": "25951", "image": "25951.png", "conversations": [ { "from": "human", "question": "The Fairfax Chamber of Commerce researched the number of employees working at local companies. How many companies have exactly 69 employees?\n" }, { "from": "gpt", "solution": "For the number 69, the stem is 6, and the leaf is 9. Find the row where the stem is 6. In that row, count all the leaves equal to 9.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 companies have exactly 69 employees.", "answer": "4", "table": "**Company sizes (number of employees)**\n\n| Stem | Leaf |\n| --- | --- |\n| 5 | 0, 7, 9 |\n| 6 | 5, 9, 9, 9, 9 |\n| 7 | 3, 6, 6 |\n| 8 | 1, 1, 1, 9 |" } ] }, { "id": "25957", "image": "25957.png", "conversations": [ { "from": "human", "question": "Each restaurant has 10 cooks. How many cooks are in 5 restaurants?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 50 cooks in 5 restaurants.", "answer": "50", "table": "| Number of restaurants | Number of cooks |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | 40 |\n| 5 | ? |" } ] }, { "id": "25963", "image": "25963.png", "conversations": [ { "from": "human", "question": "For a social studies project, Danny counted the number of classrooms in each school in the city. What is the smallest number of classrooms?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 5.\n\nNow find the lowest leaf in the first row. The lowest leaf is 8.\n\nThe smallest number of classrooms has a stem of 5 and a leaf of 8. Write the stem first, then the leaf: 58.\n\nThe smallest number of classrooms is 58 classrooms.", "answer": "58", "table": "**Classrooms per school**\n\n| Stem | Leaf |\n| --- | --- |\n| 5 | 8 |\n| 6 | 7 |\n| 7 | |\n| 8 | 5, 6, 8 |\n| 9 | 0 |" } ] }, { "id": "25964", "image": "25964.png", "conversations": [ { "from": "human", "question": "A pumpkin patch monitored the number of pumpkins sold each day. How many more pumpkins did the pumpkin patch sell on Monday than on Saturday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nMonday: 6,600\nSaturday: 4,577\n\nNow subtract: 6,600 - 4,577 = 2,023.\n\nThe pumpkin patch sold 2,023 more pumpkins on Monday.", "answer": "2,023", "table": "**Pumpkins sold**\n\n| Day | Number of pumpkins |\n| --- | --- |\n| Friday | 2,355 |\n| Saturday | 4,577 |\n| Sunday | 8,371 |\n| Monday | 6,600 |\n| Tuesday | 3,558 |" } ] }, { "id": "25965", "image": "25965.png", "conversations": [ { "from": "human", "question": "The owner of an orchard kept records about how many apples were picked in the past 3 days. How many more apples were picked on Friday than on Wednesday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nFriday: 784\nWednesday: 154\n\nNow subtract: 784 - 154 = 630.\n\n630 more apples were picked on Friday.", "answer": "630", "table": "**Apples picked**\n\n| Day | Number of apples |\n| --- | --- |\n| Wednesday | 154 |\n| Thursday | 394 |\n| Friday | 784 |" } ] }, { "id": "25971", "image": "25971.png", "conversations": [ { "from": "human", "question": "Julie purchased 2 kilograms of butternut squash. What was the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the butternut squash. Multiply the price per kilogram by the number of kilograms.\n\n$1.14 × 2 = $2.28\n\nThe total cost was $2.28.", "answer": "2.28", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| crookneck squash | $0.88/kg |\n| spaghetti squash | $0.70/kg |\n| pumpkin | $0.69/kg |\n| globe squash | $0.60/kg |\n| zucchini | $0.78/kg |\n| butternut squash | $1.14/kg |" } ] }, { "id": "25972", "image": "25972.png", "conversations": [ { "from": "human", "question": "Some pizza restaurants compared their pizza sales. In all, how many pizza slices did Deep Dish by Dan and Pizzeria Italiano sell?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nDeep Dish by Dan: 344\nPizzeria Italiano: 155\n\nNow add: 344 + 155 = 499.\n\nDeep Dish by Dan and Pizzeria Italiano sold 499 pizza slices in all.", "answer": "499", "table": "**Pizza slices sold**\n\n| Restaurant | Number of slices sold |\n| --- | --- |\n| The Big Cheese | 810 |\n| New York Slice | 523 |\n| Deep Dish by Dan | 344 |\n| Pizzeria Italiano | 155 |" } ] }, { "id": "25974", "image": "25974.png", "conversations": [ { "from": "human", "question": "Tyler looked at the dates of the digital photos on his computer to find out how many he had taken in the past 7 days. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n1, 8, 8, 8, 1, 7, 7\n\nFirst, arrange the numbers from least to greatest:\n\n1, 1, 7, 7, 8, 8, 8\n\nNow count how many times each number appears.\n\n1 appears 2 times.\n7 appears 2 times.\n8 appears 3 times.\n\nThe number that appears most often is 8.\n\nThe mode is 8.", "answer": "8", "table": "**Photographs taken**\n\n| Day | Number of photographs |\n| --- | --- |\n| Thursday | 1 |\n| Friday | 8 |\n| Saturday | 8 |\n| Sunday | 8 |\n| Monday | 1 |\n| Tuesday | 7 |\n| Wednesday | 7 |" } ] }, { "id": "25979", "image": "25979.png", "conversations": [ { "from": "human", "question": "Each necklace has 5 pearls. How many pearls are on 4 necklaces?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 20 pearls on 4 necklaces.", "answer": "20", "table": "| Number of necklaces | Number of pearls |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | ? |" } ] }, { "id": "25987", "image": "25987.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $805, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $805, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $805 | 16,500 | 1,700 |\n| $845 | 13,000 | 3,100 |\n| $885 | 9,500 | 4,500 |\n| $925 | 6,000 | 5,900 |\n| $965 | 2,500 | 7,300 |" } ] }, { "id": "25988", "image": "25988.png", "conversations": [ { "from": "human", "question": "For a statistics project, Ernesto observed the number of hits and misses scored by some baseball players during batting practice. Did the shortstop or the center fielder have fewer hits?\n" }, { "from": "gpt", "solution": "Find the Hits column. Compare the numbers in this column for shortstop and center fielder.\n\n15 is less than 20. The center fielder had fewer hits.", "answer": "center fielder", "table": "**Baseball batting practice**\n\n| Player | Hits | Misses |\n| --- | --- | --- |\n| Shortstop | 20 | 3 |\n| Center fielder | 15 | 1 |\n| Left fielder | 9 | 17 |" } ] }, { "id": "25996", "image": "25996.png", "conversations": [ { "from": "human", "question": "The parks department compared how many soccer fields there are at each park. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n5, 1, 10, 6, 5, 9\n\nFirst, count how many numbers are in the group.\n\nThere are 6 numbers.\n\nNow add all the numbers together:\n\n5 + 1 + 10 + 6 + 5 + 9 = 36\n\nNow divide the sum by the number of numbers:\n\n36 ÷ 6 = 6\n\nThe mean is 6.", "answer": "6", "table": "**Soccer fields**\n\n| Park | Number of soccer fields |\n| --- | --- |\n| Lighthouse Park | 5 |\n| Juniper Park | 1 |\n| Windy Hill Park | 10 |\n| Canyon Park | 6 |\n| Elmhurst Park | 5 |\n| Moon Park | 9 |" } ] }, { "id": "25998", "image": "25998.png", "conversations": [ { "from": "human", "question": "Danielle has $0.50. Does she have enough to buy a rubber duck and a plastic horse?\n" }, { "from": "gpt", "solution": "Add the price of a rubber duck and the price of a plastic horse:\n\n$0.39 + $0.23 = $0.62\n\n$0.62 is more than $0.50. Danielle does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| small teddy bear | $0.32 |\n| yellow toy car | $0.83 |\n| rubber duck | $0.39 |\n| tiny doll | $0.37 |\n| plastic horse | $0.23 |" } ] }, { "id": "26000", "image": "26000.png", "conversations": [ { "from": "human", "question": "A food industry researcher compiled the revenues of several pizzerias. Which restaurant made less from pizzas, Pizzeria Italiano or New York Slice?\n" }, { "from": "gpt", "solution": "Add the numbers in the Pizzeria Italiano row. Then, add the numbers in the New York Slice row.\n\nPizzeria Italiano: $13.00 + $10.00 = $23.00\nNew York Slice: $11.00 + $18.00 = $29.00\n\n$23.00 is less than $29.00. Pizzeria Italiano made less from pizzas.", "answer": "Pizzeria Italiano", "table": "**Pizza sales**\n\n| Restaurant | Vegetarian pizzas | Cheese pizzas |\n| --- | --- | --- |\n| Dan's Deep Dish | $12 | $10 |\n| New York Slice | $11 | $18 |\n| Pizzeria Italiano | $13 | $10 |\n| Arnold's Pizzeria | $15 | $17 |" } ] }, { "id": "26009", "image": "26009.png", "conversations": [ { "from": "human", "question": "Pam buys 1+3/5 pounds of pepper. How much does she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the pepper. Multiply the price per pound by the number of pounds.\n$4 × 1\\frac{3}{5} = $4 × 1.6 = $6.40\nShe spends $6.40.", "answer": "6.40", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pepper | $4 per pound |\n| cinnamon | $5 per pound |\n| paprika | $6 per pound |\n| turmeric | $8 per pound |\n| coriander | $6 per pound |" } ] }, { "id": "26011", "image": "26011.png", "conversations": [ { "from": "human", "question": "For a math assignment, Eva researched the scores of the people competing on her favorite quiz show. How many people scored exactly 41 points?\n" }, { "from": "gpt", "solution": "For the number 41, the stem is 4, and the leaf is 1. Find the row where the stem is 4. In that row, count all the leaves equal to 1.\n\nYou counted 0 leaves. 0 people scored exactly 41 points.", "answer": "0", "table": "**Quiz show scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 4, 4, 6, 6, 9 |\n| 5 | 0 |\n| 6 | 4, 9 |\n| 7 | 0, 1, 2, 2, 3, 7, 7 |\n| 8 | 1, 9 |\n| 9 | 0, 0, 0 |" } ] }, { "id": "26013", "image": "26013.png", "conversations": [ { "from": "human", "question": "A cable company analyst paid attention to how many new customers it had each day. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 9, 10, 10, 8, 9, 6\n\nFirst, find the greatest number. The greatest number is 10.\n\nNext, find the least number. The least number is 6.\n\nSubtract the least number from the greatest number:\n\n10 − 6 = 4\n\nThe range is 4.", "answer": "4", "table": "**New cable customers**\n\n| Day | Number of new customers |\n| --- | --- |\n| Wednesday | 9 |\n| Thursday | 9 |\n| Friday | 10 |\n| Saturday | 10 |\n| Sunday | 8 |\n| Monday | 9 |\n| Tuesday | 6 |" } ] }, { "id": "26018", "image": "26018.png", "conversations": [ { "from": "human", "question": "A vendor who sold bread at farmers' markets counted the number of leftover loaves at the end of each day. According to the table, what was the rate of change between Monday and Tuesday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{2 loaves - 30 loaves}{1 day}\n = \\frac{-28 loaves}{1 day}\n = -28 loaves per day\nThe rate of change between Monday and Tuesday was - 28 loaves per day.", "answer": "-28", "table": "**Loaves of leftover bread**\n\n| Day | Leftover loaves |\n| --- | --- |\n| Monday | 30 |\n| Tuesday | 2 |\n| Wednesday | 37 |\n| Thursday | 39 |\n| Friday | 30 |" } ] }, { "id": "26033", "image": "26033.png", "conversations": [ { "from": "human", "question": "The owner of a bed and breakfast inn recalled how many guests the inn had hosted each day. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n4, 4, 5, 7, 5\n\nFirst, arrange the numbers from least to greatest:\n\n4, 4, 5, 5, 7\n\nNow find the number in the middle.\n\n4, 4, 5, 5, 7\n\nThe number in the middle is 5.\n\nThe median is 5.", "answer": "5", "table": "**Inn guests**\n\n| Day | Number of guests |\n| --- | --- |\n| Wednesday | 4 |\n| Thursday | 4 |\n| Friday | 5 |\n| Saturday | 7 |\n| Sunday | 5 |" } ] }, { "id": "26034", "image": "26034.png", "conversations": [ { "from": "human", "question": "Some pizza restaurants compared their pizza sales. In all, how many pizza slices did Pizzas Only and Mario's Pizzeria sell?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nPizzas Only: 1,470\nMario's Pizzeria: 1,207\n\nNow add: 1,470 + 1,207 = 2,677.\n\nPizzas Only and Mario's Pizzeria sold 2,677 pizza slices in all.", "answer": "2,677", "table": "**Pizza slices sold**\n\n| Restaurant | Number of slices sold |\n| --- | --- |\n| Antonio's Pizzeria | 2,364 |\n| Pizzas Only | 1,470 |\n| Mario's Pizzeria | 1,207 |\n| The Big Cheese | 1,667 |" } ] }, { "id": "26041", "image": "26041.png", "conversations": [ { "from": "human", "question": "A bakery recorded how many cupcakes it sold in the past 5 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n24, 16, 11, 18, 18\n\nFirst, arrange the numbers from least to greatest:\n\n11, 16, 18, 18, 24\n\nNow find the number in the middle.\n\n11, 16, 18, 18, 24\n\nThe number in the middle is 18.\n\nThe median is 18.", "answer": "18", "table": "**Cupcakes sold**\n\n| Day | Number of cupcakes |\n| --- | --- |\n| Friday | 24 |\n| Saturday | 16 |\n| Sunday | 11 |\n| Monday | 18 |\n| Tuesday | 18 |" } ] }, { "id": "26054", "image": "26054.png", "conversations": [ { "from": "human", "question": "Alec's Candies has been studying how much chocolate people have been eating in different countries. In 2002, how much more chocolate did Germany consume per capita than Belgium?\n" }, { "from": "gpt", "solution": "Find the 2002 column. Find the numbers in this column for Germany and Belgium.\n\nGermany: 10\nBelgium: 8\n\nNow subtract:\n\n10 − 8 = 2\n\nIn 2002, Germany consumed 2 kilograms more chocolate per capita than Belgium.", "answer": "2", "table": "**Chocolate consumption per capita (kg)**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 2002 | 2005 |\n| Belgium | 8 | 11 |\n| Australia | 4 | 5 |\n| Poland | 3 | 4 |\n| Germany | 10 | 11 |" } ] }, { "id": "26062", "image": "26062.png", "conversations": [ { "from": "human", "question": "Mrs. Campbell, the biology teacher, asked her students how many times they went to the science museum last year. How many students went to the science museum at least 2 times?\n" }, { "from": "gpt", "solution": "Find the rows for 2, 3, 4, 5, and 6 times. Add the frequencies for these rows.\n\nAdd:\n\n6 + 14 + 12 + 13 + 8 = 53\n\n53 students went to the science museum at least 2 times.", "answer": "53", "table": "**Trips to the science museum last year**\n\n| Number of trips | Frequency |\n| --- | --- |\n| 0 | 16 |\n| 1 | 4 |\n| 2 | 6 |\n| 3 | 14 |\n| 4 | 12 |\n| 5 | 13 |\n| 6 | 8 |" } ] }, { "id": "26070", "image": "26070.png", "conversations": [ { "from": "human", "question": "Each stack has 5 magazines. How many magazines are in 6 stacks?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 30 magazines in 6 stacks.", "answer": "30", "table": "| Number of stacks | Number of magazines |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | 20 |\n| 5 | 25 |\n| 6 | ? |" } ] }, { "id": "26072", "image": "26072.png", "conversations": [ { "from": "human", "question": "How much money does Wendy need to buy a cockatoo and 8 pot-bellied pigs?\n" }, { "from": "gpt", "solution": "Find the cost of 8 pot-bellied pigs.\n\n$60.44 × 8 = $483.52\n\nNow find the total cost.\n\n$70.39 + $483.52 = $553.91\n\nWendy needs $553.91.", "answer": "553.91", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pot-bellied pig | $60.44 |\n| tarantula | $29.12 |\n| cockatoo | $70.39 |\n| chameleon | $72.45 |\n| tree frog | $32.13 |" } ] }, { "id": "26075", "image": "26075.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{8 - 6}{1 - 0}\n = \\frac{2}{1}\n = 2\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{12 - 6}{2 - 0}\n = \\frac{6}{2}\n = 3\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 0 | 6 |\n| 1 | 8 |\n| 2 | 12 |" } ] }, { "id": "26082", "image": "26082.png", "conversations": [ { "from": "human", "question": "Xavier went to the store. He bought 3/5 of a pound of cream cheese. How much did he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the cream cheese. Multiply the price per pound by the number of pounds.\n$4 × \\frac{3}{5} = $4 × 0.6 = $2.40\nHe spent $2.40.", "answer": "2.40", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| cream cheese | $4/lb |\n| sour cream | $2/lb |\n| butter | $4/lb |\n| Greek yogurt | $4/lb |" } ] }, { "id": "26087", "image": "26087.png", "conversations": [ { "from": "human", "question": "Chloe went on a bird watching trip and jotted down the number of birds she saw each day. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n8, 4, 4, 5, 8, 4, 9\n\nFirst, arrange the numbers from least to greatest:\n\n4, 4, 4, 5, 8, 8, 9\n\nNow find the number in the middle.\n\n4, 4, 4, 5, 8, 8, 9\n\nThe number in the middle is 5.\n\nThe median is 5.", "answer": "5", "table": "**Number of birds**\n\n| Day | Number of birds |\n| --- | --- |\n| Monday | 8 |\n| Tuesday | 4 |\n| Wednesday | 4 |\n| Thursday | 5 |\n| Friday | 8 |\n| Saturday | 4 |\n| Sunday | 9 |" } ] }, { "id": "26101", "image": "26101.png", "conversations": [ { "from": "human", "question": "A newspaper researched how many grocery stores there are in each town. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n4, 9, 10, 2, 3, 7, 7\n\nFirst, arrange the numbers from least to greatest:\n\n2, 3, 4, 7, 7, 9, 10\n\nNow find the number in the middle.\n\n2, 3, 4, 7, 7, 9, 10\n\nThe number in the middle is 7.\n\nThe median is 7.", "answer": "7", "table": "**Grocery stores in each town**\n\n| Town | Number of stores |\n| --- | --- |\n| Richmond | 4 |\n| Mayfield | 9 |\n| Salem | 10 |\n| Greenwood | 2 |\n| Ashland | 3 |\n| Chesterton | 7 |\n| Watertown | 7 |" } ] }, { "id": "26104", "image": "26104.png", "conversations": [ { "from": "human", "question": "Anna likes watching the show Engineering Marvels. In last night's episode, the engineering team visited a tall skyscraper and a deep mine. A banner at the bottom of the screen showed the elevation of each location the team visited. Which location is closer to sea level?\n" }, { "from": "gpt", "solution": "The top of the skyscraper has a positive elevation, so it is above sea level. The bottom of the mine has a negative elevation, so it is below sea level.\nTo find the location closer to sea level, use absolute value. Absolute value tells you how far each location is from sea level.\nTop of the skyscraper: |275| = 275\nBottom of the mine: |-260| = 260\nThe top of the skyscraper is 275 meters above sea level, but the bottom of the mine is only260 meters below sea level. The bottom of the mine is closer to sea level.", "answer": "bottom of the mine", "table": "| Location | Elevation (m) |\n| --- | --- |\n| Top of the skyscraper | 275 |\n| Bottom of the mine | -260 |" } ] }, { "id": "26107", "image": "26107.png", "conversations": [ { "from": "human", "question": "The owner of an orchard kept records about how many apples were picked in the past 5 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n78, 81, 83, 95, 69\n\nFirst, arrange the numbers from least to greatest:\n\n69, 78, 81, 83, 95\n\nNow find the number in the middle.\n\n69, 78, 81, 83, 95\n\nThe number in the middle is 81.\n\nThe median is 81.", "answer": "81", "table": "**Apples picked**\n\n| Day | Number of apples |\n| --- | --- |\n| Thursday | 78 |\n| Friday | 81 |\n| Saturday | 83 |\n| Sunday | 95 |\n| Monday | 69 |" } ] }, { "id": "26119", "image": "26119.png", "conversations": [ { "from": "human", "question": "The owner of a plant nursery wrote down the number of roses on each bush. How many bushes have at least 20 roses?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 2, 3, 4, and 5.\n\nYou counted 11 leaves, which are blue in the stem-and-leaf plot above. 11 bushes have at least 20 roses.", "answer": "11", "table": "**Roses per bush**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 5 |\n| 3 | 0, 3, 6, 9 |\n| 4 | 1, 1, 6, 8 |\n| 5 | 0, 8 |" } ] }, { "id": "26122", "image": "26122.png", "conversations": [ { "from": "human", "question": "Marcy went to the store. She bought 1+4/5 kilograms of dark chocolate chips. How much did she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the dark chocolate chips. Multiply the price per kilogram by the number of kilograms.\n$1 × 1\\frac{4}{5} = $1 × 1.8 = $1.80\nShe spent $1.80.", "answer": "1.80", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| white chocolate chips | $3 per kilogram |\n| peanut butter chips | $3 per kilogram |\n| milk chocolate chips | $3 per kilogram |\n| butterscotch chips | $1 per kilogram |\n| dark chocolate chips | $1 per kilogram |\n| semisweet chocolate chips | $3 per kilogram |" } ] }, { "id": "26123", "image": "26123.png", "conversations": [ { "from": "human", "question": "Keller's Flooring sponsored a survey about home flooring preferences. What fraction of respondents preferred carpet flooring? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many respondents preferred carpet flooring.\n\n320\n\nFind how many respondents there were in total.\n\n320 + 440 + 430 = 1,190\n\nDivide 320 by1,190.\n\n\\frac{320}{1,190}\n\nReduce the fraction.\n\n\\frac{320}{1,190} → \\frac{32}{119}\n\n\\frac{32}{119} of respondents preferred carpet flooring.", "answer": "32/119", "table": "**Flooring preference**\n\n| Flooring | Number of respondents |\n| --- | --- |\n| Carpet | 320 |\n| Stone | 440 |\n| Other | 430 |" } ] }, { "id": "26125", "image": "26125.png", "conversations": [ { "from": "human", "question": "Laura, who rents properties for a living, measures all the offices in a building she is renting. How many offices are at least 40 square meters?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 4, 5, and 6.\n\nYou counted 12 leaves, which are blue in the stem-and-leaf plot above. 12 offices are at least 40 square meters.", "answer": "12", "table": "**Office sizes (square meters)**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 0, 2, 3, 5, 5 |\n| 4 | |\n| 5 | 1, 1, 2, 4, 9 |\n| 6 | 0, 1, 1, 4, 4, 9, 9 |" } ] }, { "id": "26127", "image": "26127.png", "conversations": [ { "from": "human", "question": "A farmer counted the number of apples on each tree in her orchard. How many trees have fewer than 50 apples?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 3 and 4.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 trees have fewer than 50 apples.", "answer": "4", "table": "**Apples per tree**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 5 |\n| 4 | 0, 3, 7 |\n| 5 | 2, 2, 2, 3, 4, 8, 9 |\n| 6 | 2, 6, 8 |\n| 7 | 6, 7, 9 |\n| 8 | 8, 9, 9 |\n| 9 | 0 |" } ] }, { "id": "26134", "image": "26134.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does the zebra feeding end?\n" }, { "from": "gpt", "solution": "Find the zebra feeding on the schedule. Find the end time for the zebra feeding.\n\nzebra feeding: 6:55 P. M.", "answer": "6:55 P.M.", "table": "**Zoo schedule**\n\n| Event | Begin | End |\n| --- | --- | --- |\n| reptile show | 9:10 A.M. | 9:50 A.M. |\n| penguin feeding | 9:55 A.M. | 11:15 A.M. |\n| tiger lecture | 11:05 A.M. | 12:10 P.M. |\n| panda lecture | 12:50 P.M. | 1:20 P.M. |\n| koala feeding | 1:50 P.M. | 3:10 P.M. |\n| bear lecture | 3:15 P.M. | 4:20 P.M. |\n| bird show | 4:15 P.M. | 4:55 P.M. |\n| giraffe feeding | 5:00 P.M. | 6:20 P.M. |\n| zebra feeding | 6:15 P.M. | 6:55 P.M. |" } ] }, { "id": "26135", "image": "26135.png", "conversations": [ { "from": "human", "question": "The staff of a newspaper examined the number of copies sold over the past 3 days. How many more copies were sold on Monday than on Saturday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nMonday: 840\nSaturday: 299\n\nNow subtract: 840 - 299 = 541.\n\n541 more copies were sold on Monday.", "answer": "541", "table": "**Newspapers sold**\n\n| Day | Number of newspapers |\n| --- | --- |\n| Saturday | 299 |\n| Sunday | 410 |\n| Monday | 840 |" } ] }, { "id": "26139", "image": "26139.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{6 - 10}{2 - 1}\n = \\frac{-4}{1}\n = -4\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{2 - 6}{3 - 2}\n = \\frac{-4}{1}\n = -4\nThe two rates of change are the same.\n4.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 1 | 10 |\n| 2 | 6 |\n| 3 | 2 |" } ] }, { "id": "26144", "image": "26144.png", "conversations": [ { "from": "human", "question": "A volunteer for the local running club counted the number of participants at each race. What is the smallest number of participants?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 1.\n\nNow find the lowest leaf in the first row. The lowest leaf is 0.\n\nThe smallest number of participants has a stem of 1 and a leaf of 0. Write the stem first, then the leaf: 10.\n\nThe smallest number of participants is 10 participants.", "answer": "10", "table": "**Participants per race**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 3, 8, 8 |\n| 2 | 4 |\n| 3 | 0, 9, 9 |\n| 4 | 3, 9 |\n| 5 | 0, 8 |\n| 6 | 3 |\n| 7 | 1 |\n| 8 | 6, 9 |" } ] }, { "id": "26147", "image": "26147.png", "conversations": [ { "from": "human", "question": "Shawna buys 2.9 pounds of chicken sauce. How much does she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the chicken sauce. Multiply the price per pound by the number of pounds.\n$5 × 2.9 = $14.50\nShe spends $14.50.", "answer": "14.50", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| beef sauce | $3 per pound |\n| chicken sauce | $5 per pound |\n| marinara sauce | $7 per pound |\n| tomato sauce | $7 per pound |\n| pesto sauce | $7 per pound |" } ] }, { "id": "26154", "image": "26154.png", "conversations": [ { "from": "human", "question": "A newspaper researched how many grocery stores there are in each town. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 8, 4, 8, 2\n\nFirst, arrange the numbers from least to greatest:\n\n2, 4, 7, 8, 8\n\nNow find the number in the middle.\n\n2, 4, 7, 8, 8\n\nThe number in the middle is 7.\n\nThe median is 7.", "answer": "7", "table": "**Grocery stores in each town**\n\n| Town | Number of stores |\n| --- | --- |\n| Watertown | 7 |\n| Greenwood | 8 |\n| Richmond | 4 |\n| Springfield | 8 |\n| Marion | 2 |" } ] }, { "id": "26156", "image": "26156.png", "conversations": [ { "from": "human", "question": "A pumpkin patch monitored the number of pumpkins sold each day. How many more pumpkins did the pumpkin patch sell on Wednesday than on Thursday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nWednesday: 769\nThursday: 283\n\nNow subtract: 769 - 283 = 486.\n\nThe pumpkin patch sold 486 more pumpkins on Wednesday.", "answer": "486", "table": "**Pumpkins sold**\n\n| Day | Number of pumpkins |\n| --- | --- |\n| Monday | 164 |\n| Tuesday | 401 |\n| Wednesday | 769 |\n| Thursday | 283 |\n| Friday | 544 |" } ] }, { "id": "26160", "image": "26160.png", "conversations": [ { "from": "human", "question": "A waitress kept track of how many hours she worked each day. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n3, 9, 8, 8, 6\n\nFirst, arrange the numbers from least to greatest:\n\n3, 6, 8, 8, 9\n\nNow find the number in the middle.\n\n3, 6, 8, 8, 9\n\nThe number in the middle is 8.\n\nThe median is 8.", "answer": "8", "table": "**Hours worked**\n\n| Day | Hours |\n| --- | --- |\n| Wednesday | 3 |\n| Thursday | 9 |\n| Friday | 8 |\n| Saturday | 8 |\n| Sunday | 6 |" } ] }, { "id": "26163", "image": "26163.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does Advanced Typing class begin?\n" }, { "from": "gpt", "solution": "Find Advanced Typing class on the schedule. Find the beginning time for Advanced Typing class.\n\nAdvanced Typing: 1:05 P. M.", "answer": "1:05 P.M.", "table": "**Computer lab schedule**\n\n| Class | Begin | End |\n| --- | --- | --- |\n| Word Processing | 7:15 A.M. | 8:30 A.M. |\n| Computer Finance | 8:35 A.M. | 9:05 A.M. |\n| Advanced Programming | 9:20 A.M. | 10:40 A.M. |\n| Spreadsheets | 10:55 A.M. | 11:30 A.M. |\n| Computer Science | 11:45 A.M. | 12:55 P.M. |\n| Advanced Typing | 1:05 P.M. | 2:30 P.M. |" } ] }, { "id": "26167", "image": "26167.png", "conversations": [ { "from": "human", "question": "A concession stand worker at the movie theater looked up how many bags of popcorn were sold in the past 5 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 10, 0, 3, 4\n\nFirst, arrange the numbers from least to greatest:\n\n0, 3, 4, 6, 10\n\nNow find the number in the middle.\n\n0, 3, 4, 6, 10\n\nThe number in the middle is 4.\n\nThe median is 4.", "answer": "4", "table": "**Bags of popcorn sold**\n\n| Day | Number of bags of popcorn |\n| --- | --- |\n| Friday | 6 |\n| Saturday | 10 |\n| Sunday | 0 |\n| Monday | 3 |\n| Tuesday | 4 |" } ] }, { "id": "26178", "image": "26178.png", "conversations": [ { "from": "human", "question": "Some scooter companies compared how many scooters they sold. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n79, 65, 78, 77, 71, 63, 73, 70\n\nFirst, count how many numbers are in the group.\n\nThere are 8 numbers.\n\nNow add all the numbers together:\n\n79 + 65 + 78 + 77 + 71 + 63 + 73 + 70 = 576\n\nNow divide the sum by the number of numbers:\n\n576 ÷ 8 = 72\n\nThe mean is 72.", "answer": "72", "table": "**Scooters sold**\n\n| Company | Number of scooters sold |\n| --- | --- |\n| Scooter City | 79 |\n| Go-Go Scooters | 65 |\n| Scooters and More | 78 |\n| Let's Jet Scooters | 77 |\n| Rocket Scooters | 71 |\n| Scooters Only | 63 |\n| Zippy Scooters | 73 |\n| Sweeney Scooters | 70 |" } ] }, { "id": "26183", "image": "26183.png", "conversations": [ { "from": "human", "question": "Some friends played golf and compared their scores. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n87, 84, 81, 90, 89, 96, 95\n\nFirst, find the greatest number. The greatest number is 96.\n\nNext, find the least number. The least number is 81.\n\nSubtract the least number from the greatest number:\n\n96 − 81 = 15\n\nThe range is 15.", "answer": "15", "table": "**Golf scores**\n\n| Name | Score |\n| --- | --- |\n| Krysta | 87 |\n| Tim | 84 |\n| Luther | 81 |\n| Charlotte | 90 |\n| Jonathan | 89 |\n| Dan | 96 |\n| Isabella | 95 |" } ] }, { "id": "26184", "image": "26184.png", "conversations": [ { "from": "human", "question": "How much would it cost to buy 3 pounds of mustard, 3 pounds of ketchup, and 4 pounds of mayonnaise?\n" }, { "from": "gpt", "solution": "Find the cost of the mustard. Multiply:\n\n$4.63 × 3 = $13.89\n\nFind the cost of the ketchup. Multiply:\n\n$4.62 × 3 = $13.86\n\nFind the cost of the mayonnaise. Multiply:\n\n$2.35 × 4 = $9.40\n\nNow find the total cost by adding:\n\n$13.89 + $13.86 + $9.40 = $37.15\n\nIt would cost $37.15.", "answer": "37.15", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| hot sauce | $3.25/pound |\n| Dijon mustard | $3.59/pound |\n| ketchup | $4.62/pound |\n| mayonnaise | $2.35/pound |\n| soy sauce | $2.23/pound |\n| mustard | $4.63/pound |" } ] }, { "id": "26186", "image": "26186.png", "conversations": [ { "from": "human", "question": "Nina bought 3/5 of a pound of raspberry applesauce. How much did she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the raspberry applesauce. Multiply the price per pound by the number of pounds.\n$6 × \\frac{3}{5} = $6 × 0.6 = $3.60\nShe spent $3.60.", "answer": "3.60", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| blueberry applesauce | $4/pound |\n| unsweetened applesauce | $2/pound |\n| raspberry applesauce | $6/pound |\n| strawberry applesauce | $6/pound |" } ] }, { "id": "26191", "image": "26191.png", "conversations": [ { "from": "human", "question": "Each shelf has 2 blocks of cheese. How many blocks of cheese are on 4 shelves?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 8 blocks of cheese on 4 shelves.", "answer": "8", "table": "| Number of shelves | Number of blocks of cheese |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | 6 |\n| 4 | ? |" } ] }, { "id": "26200", "image": "26200.png", "conversations": [ { "from": "human", "question": "A reporter looked through his notebook to remember how many people he had interviewed in the past 6 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n50, 42, 43, 46, 43, 46\n\nFirst, find the greatest number. The greatest number is 50.\n\nNext, find the least number. The least number is 42.\n\nSubtract the least number from the greatest number:\n\n50 − 42 = 8\n\nThe range is 8.", "answer": "8", "table": "**People interviewed**\n\n| Day | Number of people |\n| --- | --- |\n| Saturday | 50 |\n| Sunday | 42 |\n| Monday | 43 |\n| Tuesday | 46 |\n| Wednesday | 43 |\n| Thursday | 46 |" } ] }, { "id": "26203", "image": "26203.png", "conversations": [ { "from": "human", "question": "The week of her birthday, Dana paid attention to how many pieces of mail she received each day. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 6, 3, 3, 6\n\nFirst, count how many numbers are in the group.\n\nThere are 5 numbers.\n\nNow add all the numbers together:\n\n7 + 6 + 3 + 3 + 6 = 25\n\nNow divide the sum by the number of numbers:\n\n25 ÷ 5 = 5\n\nThe mean is 5.", "answer": "5", "table": "**Pieces of mail received**\n\n| Day | Number of pieces of mail |\n| --- | --- |\n| Saturday | 7 |\n| Monday | 6 |\n| Tuesday | 3 |\n| Wednesday | 3 |\n| Thursday | 6 |" } ] }, { "id": "26205", "image": "26205.png", "conversations": [ { "from": "human", "question": "Each drawer has 10 light bulbs. How many light bulbs are in 6 drawers?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 60 light bulbs in 6 drawers.", "answer": "60", "table": "| Number of drawers | Number of light bulbs |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | 40 |\n| 5 | 50 |\n| 6 | ? |" } ] }, { "id": "26213", "image": "26213.png", "conversations": [ { "from": "human", "question": "Jason has $0.15. Does he have enough to buy a bead with green and blue swirls and a white bead with black spots?\n" }, { "from": "gpt", "solution": "Add the price of a bead with green and blue swirls and the price of a white bead with black spots:\n\n$0.08 + $0.06 = $0.14\n\n$0.14 is less than $0.15. Jason does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| blue glass bead | $0.08 |\n| bead with green and blue swirls | $0.08 |\n| purple and red clay bead | $0.02 |\n| white bead with black spots | $0.06 |" } ] }, { "id": "26221", "image": "26221.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{16 - 13}{11 - 10}\n = \\frac{3}{1}\n = 3\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{19 - 13}{12 - 10}\n = \\frac{6}{2}\n = 3\nThe two rates of change are the same.\nIf you checked the rate of change between rows 2 and 3, you would find that it is also 3.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 10 | 13 |\n| 11 | 16 |\n| 12 | 19 |" } ] }, { "id": "26222", "image": "26222.png", "conversations": [ { "from": "human", "question": "Each bowl has 2 cherries. How many cherries are in 5 bowls?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 10 cherries in 5 bowls.", "answer": "10", "table": "| Number of bowls | Number of cherries |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | 6 |\n| 4 | 8 |\n| 5 | ? |" } ] }, { "id": "26225", "image": "26225.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $810, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $810, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $130 | 17,000 | 2,500 |\n| $300 | 14,800 | 5,300 |\n| $470 | 12,600 | 8,100 |\n| $640 | 10,400 | 10,900 |\n| $810 | 8,200 | 13,700 |" } ] }, { "id": "26235", "image": "26235.png", "conversations": [ { "from": "human", "question": "Several people compared how many Web pages they had visited. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 5, 6, 10, 5, 6\n\nFirst, arrange the numbers from least to greatest:\n\n5, 5, 6, 6, 6, 10\n\nNow count how many times each number appears.\n\n5 appears 2 times.\n6 appears 3 times.\n10 appears 1 time.\n\nThe number that appears most often is 6.\n\nThe mode is 6.", "answer": "6", "table": "**Web pages visited**\n\n| Person | Number of Web pages |\n| --- | --- |\n| Tim | 6 |\n| Ernesto | 5 |\n| Pamela | 6 |\n| Celine | 10 |\n| Kamal | 5 |\n| Maggie | 6 |" } ] }, { "id": "26236", "image": "26236.png", "conversations": [ { "from": "human", "question": "Malia has $0.50. Does she have enough to buy a birthday balloon and a red balloon?\n" }, { "from": "gpt", "solution": "Add the price of a birthday balloon and the price of a red balloon:\n\n$0.33 + $0.35 = $0.68\n\n$0.68 is more than $0.50. Malia does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| red balloon | $0.35 |\n| birthday balloon | $0.33 |\n| gift bag | $0.98 |\n| fancy ribbon | $0.26 |" } ] }, { "id": "26244", "image": "26244.png", "conversations": [ { "from": "human", "question": "Lily has $12. Does she have enough to buy a yellow skirt and a long-sleeved shirt?\n" }, { "from": "gpt", "solution": "Add the price of a yellow skirt and the price of a long-sleeved shirt:\n\n$7 + $4 = $11\n\n$11 is less than $12. Lily does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| yellow skirt | $7 |\n| long-sleeved shirt | $4 |\n| black skirt | $5 |\n| blue tank top | $2 |\n| pair of shorts | $7 |" } ] }, { "id": "26246", "image": "26246.png", "conversations": [ { "from": "human", "question": "An economist tracked the amount of per-capita aid sent from the U.S. to various countries during the 1900s. Per capita, how much more aid did Nepal receive in 1985 than in 1975?\n" }, { "from": "gpt", "solution": "Find the Nepal row. Find the numbers in this row for 1985 and 1975.\n\n1985: $14.00\n1975: $3.00\n\nNow subtract:\n\n$14.00 − $3.00 = $11.00\n\nPer capita, Nepal received $11 more in aid in 1985 than in 1975.", "answer": "11", "table": "**Aid received per capita from the U.S.**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 1975 | 1985 |\n| Nepal | $3 | $14 |\n| Libya | $2 | $1 |\n| Afghanistan | $5 | $1 |\n| Algeria | $11 | $8 |" } ] }, { "id": "26252", "image": "26252.png", "conversations": [ { "from": "human", "question": "Belle kept a tally of the number of emails she received each day for a week. According to the table, what was the rate of change between Tuesday and Wednesday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{5 emails - 10 emails}{1 day}\n = \\frac{-5 emails}{1 day}\n = -5 emails per day\nThe rate of change between Tuesday and Wednesday was - 5 emails per day.", "answer": "-5", "table": "**Emails Belle received**\n\n| Day | Emails |\n| --- | --- |\n| Sunday | 8 |\n| Monday | 10 |\n| Tuesday | 10 |\n| Wednesday | 5 |\n| Thursday | 8 |" } ] }, { "id": "26253", "image": "26253.png", "conversations": [ { "from": "human", "question": "The Patterson Senior Care Center monitored how often its residents got to visit with relatives last year. How many residents are there in all?\n" }, { "from": "gpt", "solution": "Add the frequencies for each row.\n\nAdd:\n\n10 + 3 + 7 + 8 + 0 + 14 + 17 = 59\n\nThere are 59 residents in all.", "answer": "59", "table": "**Visiting with relatives last year**\n\n| Number of visits | Frequency |\n| --- | --- |\n| 0 | 10 |\n| 1 | 3 |\n| 2 | 7 |\n| 3 | 8 |\n| 4 | 0 |\n| 5 | 14 |\n| 6 | 17 |" } ] }, { "id": "26255", "image": "26255.png", "conversations": [ { "from": "human", "question": "Miguel wrote down how many cups of lemonade he sold in the past 6 days. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n81, 82, 88, 88, 88, 82\n\nFirst, arrange the numbers from least to greatest:\n\n81, 82, 82, 88, 88, 88\n\nNow count how many times each number appears.\n\n81 appears 1 time.\n82 appears 2 times.\n88 appears 3 times.\n\nThe number that appears most often is 88.\n\nThe mode is 88.", "answer": "88", "table": "**Cups of lemonade sold**\n\n| Day | Number of cups |\n| --- | --- |\n| Saturday | 81 |\n| Sunday | 82 |\n| Monday | 88 |\n| Tuesday | 88 |\n| Wednesday | 88 |\n| Thursday | 82 |" } ] }, { "id": "26256", "image": "26256.png", "conversations": [ { "from": "human", "question": "The employee at the department store counted the number of ties on each tie rack. What is the smallest number of ties?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 1.\n\nNow find the lowest leaf in the first row. The lowest leaf is 2.\n\nThe smallest number of ties has a stem of 1 and a leaf of 2. Write the stem first, then the leaf: 12.\n\nThe smallest number of ties is 12 ties.", "answer": "12", "table": "**Ties per rack**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 2 |\n| 2 | |\n| 3 | 5 |\n| 4 | |\n| 5 | 3, 7 |\n| 6 | 1, 3 |" } ] }, { "id": "26257", "image": "26257.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{11 - 3}{14 - 13}\n = \\frac{8}{1}\n = 8\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{17 - 11}{15 - 14}\n = \\frac{6}{1}\n = 6\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 13 | 3 |\n| 14 | 11 |\n| 15 | 17 |" } ] }, { "id": "26275", "image": "26275.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $635, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $635, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $475 | 14,400 | 1,000 |\n| $555 | 11,400 | 5,800 |\n| $635 | 8,400 | 10,600 |\n| $715 | 5,400 | 15,400 |\n| $795 | 2,400 | 20,200 |" } ] }, { "id": "26279", "image": "26279.png", "conversations": [ { "from": "human", "question": "Each platter has 2 chocolate-chip cookies. How many chocolate-chip cookies are on 3 platters?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 6 chocolate-chip cookies on 3 platters.", "answer": "6", "table": "| Number of platters | Number of chocolate-chip cookies |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | ? |" } ] }, { "id": "26288", "image": "26288.png", "conversations": [ { "from": "human", "question": "Nora kept a driving log to see how many miles she drove each day. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n5, 10, 1, 5, 2\n\nFirst, arrange the numbers from least to greatest:\n\n1, 2, 5, 5, 10\n\nNow find the number in the middle.\n\n1, 2, 5, 5, 10\n\nThe number in the middle is 5.\n\nThe median is 5.", "answer": "5", "table": "**Miles driven**\n\n| Day | Number of miles |\n| --- | --- |\n| Sunday | 5 |\n| Monday | 10 |\n| Tuesday | 1 |\n| Wednesday | 5 |\n| Thursday | 2 |" } ] }, { "id": "26301", "image": "26301.png", "conversations": [ { "from": "human", "question": "Shane buys 4 kilograms of canary melon, 1 kilogram of Algerian melon, and 2 kilograms of cantaloupe. What is the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the canary melon. Multiply:\n\n$0.86 × 4 = $3.44\n\nFind the cost of the Algerian melon. Multiply:\n\n$0.77 × 1 = $0.77\n\nFind the cost of the cantaloupe. Multiply:\n\n$0.80 × 2 = $1.60\n\nNow find the total cost by adding:\n\n$3.44 + $0.77 + $1.60 = $5.81\n\nThe total cost is $5.81.", "answer": "5.81", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| cantaloupe | $0.80/kg |\n| canary melon | $0.86/kg |\n| watermelon | $0.77/kg |\n| Algerian melon | $0.77/kg |" } ] }, { "id": "26307", "image": "26307.png", "conversations": [ { "from": "human", "question": "A hardware store monitored how many hammers it sold in the past 7 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n8, 7, 8, 1, 3, 1, 7\n\nFirst, find the greatest number. The greatest number is 8.\n\nNext, find the least number. The least number is 1.\n\nSubtract the least number from the greatest number:\n\n8 − 1 = 7\n\nThe range is 7.", "answer": "7", "table": "**Hammers sold**\n\n| Day | Number of hammers |\n| --- | --- |\n| Tuesday | 8 |\n| Wednesday | 7 |\n| Thursday | 8 |\n| Friday | 1 |\n| Saturday | 3 |\n| Sunday | 1 |\n| Monday | 7 |" } ] }, { "id": "26313", "image": "26313.png", "conversations": [ { "from": "human", "question": "Evelyn decided to record the temperature every morning when she woke up. How many temperature readings were less than 40°C?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 0, 1, 2, and 3.\n\nYou counted 16 leaves, which are blue in the stem-and-leaf plot above. 16 temperature readings were less than 40°C.", "answer": "16", "table": "**Daily temperatures (°C)**\n\n| Stem | Leaf |\n| --- | --- |\n| 0 | 0, 1, 1, 4, 8 |\n| 1 | 2, 5 |\n| 2 | 2, 2, 3, 5, 5 |\n| 3 | 2, 3, 4, 8 |" } ] }, { "id": "26314", "image": "26314.png", "conversations": [ { "from": "human", "question": "Kevin has $13,757. How much money will Kevin have left if he buys a precision balance and a laboratory freezer?\n" }, { "from": "gpt", "solution": "Find the total cost of a precision balance and a laboratory freezer.\n\n$4,472 + $3,548 = $8,020\n\nNow subtract the total cost from the starting amount.\n\n$13,757 - $8,020 = $5,737\n\nKevin will have $5,737 left.", "answer": "5,737", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| telescope | $8,429 |\n| precision balance | $4,472 |\n| laboratory freezer | $3,548 |\n| microscope | $2,110 |" } ] }, { "id": "26320", "image": "26320.png", "conversations": [ { "from": "human", "question": "Professor Brady compiled the scores from the last quiz. How many students scored less than 7?\n" }, { "from": "gpt", "solution": "Find the rows for 5 and 6. Add the frequencies for these rows.\n\nAdd:\n\n16 + 10 = 26\n\n26 students scored less than 7.", "answer": "26", "table": "**Scores on the last quiz**\n\n| Score | Frequency |\n| --- | --- |\n| 5 | 16 |\n| 6 | 10 |\n| 7 | 9 |\n| 8 | 7 |\n| 9 | 8 |\n| 10 | 20 |" } ] }, { "id": "26326", "image": "26326.png", "conversations": [ { "from": "human", "question": "The members of the local garden club tallied the number of plants in each person's garden. How many gardens have at least 34 plants?\n" }, { "from": "gpt", "solution": "Find the row with stem 3. Count all the leaves greater than or equal to 4.\n\nCount all the leaves in the rows with stems 4, 5, 6, 7, and 8.\n\nYou counted 12 leaves, which are blue in the stem-and-leaf plots above. 12 gardens have at least 34 plants.", "answer": "12", "table": "**Plants per garden**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 1, 2, 3, 4, 5, 9 |\n| 3 | 1, 2, 2, 3, 5, 6, 7, 9 |\n| 4 | 7, 7 |\n| 5 | 8 |\n| 6 | 4, 6 |\n| 7 | 4, 4 |\n| 8 | 8 |" } ] }, { "id": "26330", "image": "26330.png", "conversations": [ { "from": "human", "question": "A plant nursery in Newberry keeps records of how many of its plants are annuals, biennials, and perennials. What fraction of the plants are biennials? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many plants are biennials.\n\n42\n\nFind how many plants the nursery has in total.\n\n92 + 66 + 42 = 200\n\nDivide 42 by200.\n\n\\frac{42}{200}\n\nReduce the fraction.\n\n\\frac{42}{200} → \\frac{21}{100}\n\n\\frac{21}{100} of plants are biennials.", "answer": "21/100", "table": "**Distribution of plant types**\n\n| Type | Number of plants |\n| --- | --- |\n| Perennials | 92 |\n| Annuals | 66 |\n| Biennials | 42 |" } ] }, { "id": "26334", "image": "26334.png", "conversations": [ { "from": "human", "question": "The local high school found out how many members each club had. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n5, 8, 5, 6, 10\n\nFirst, arrange the numbers from least to greatest:\n\n5, 5, 6, 8, 10\n\nNow find the number in the middle.\n\n5, 5, 6, 8, 10\n\nThe number in the middle is 6.\n\nThe median is 6.", "answer": "6", "table": "**Club membership**\n\n| Club | Number of members |\n| --- | --- |\n| French club | 5 |\n| drama club | 8 |\n| Japanese club | 5 |\n| film club | 6 |\n| speech club | 10 |" } ] }, { "id": "26340", "image": "26340.png", "conversations": [ { "from": "human", "question": "Mr. Singleton, the marine biology teacher, asked his students how many times they went to the beach last summer. How many students went to the beach fewer than 2 times?\n" }, { "from": "gpt", "solution": "Find the rows for 0 and 1 time. Add the frequencies for these rows.\n\nAdd:\n\n5 + 6 = 11\n\n11 students went to the beach fewer than 2 times.", "answer": "11", "table": "**Trips to the beach last summer**\n\n| Number of trips | Frequency |\n| --- | --- |\n| 0 | 5 |\n| 1 | 6 |\n| 2 | 17 |\n| 3 | 3 |" } ] }, { "id": "26342", "image": "26342.png", "conversations": [ { "from": "human", "question": "How much money does Reid need to buy a smooth piece of sea glass and a piece of black mica?\n" }, { "from": "gpt", "solution": "Add the price of a smooth piece of sea glass and the price of a piece of black mica:\n\n$0.08 + $0.08 = $0.16\n\nReid needs $0.16.", "answer": "0.16", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| smooth piece of sea glass | $0.08 |\n| piece of black obsidian | $0.03 |\n| piece of smoky quartz | $0.01 |\n| piece of black mica | $0.08 |" } ] }, { "id": "26349", "image": "26349.png", "conversations": [ { "from": "human", "question": "Madelyn kept a driving log to see how many miles she drove each day. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n10, 3, 4, 9, 6\n\nFirst, find the greatest number. The greatest number is 10.\n\nNext, find the least number. The least number is 3.\n\nSubtract the least number from the greatest number:\n\n10 − 3 = 7\n\nThe range is 7.", "answer": "7", "table": "**Miles driven**\n\n| Day | Number of miles |\n| --- | --- |\n| Monday | 10 |\n| Tuesday | 3 |\n| Wednesday | 4 |\n| Thursday | 9 |\n| Friday | 6 |" } ] }, { "id": "26352", "image": "26352.png", "conversations": [ { "from": "human", "question": "Sandeep, a huge fan, tracked the scores on his favorite radio quiz show. How many people scored at least 3?\n" }, { "from": "gpt", "solution": "Find the rows for 3, 4, and 5. Add the frequencies for these rows.\n\nAdd:\n\n16 + 20 + 15 = 51\n\n51 people scored at least 3.", "answer": "51", "table": "**Scores on a radio quiz show**\n\n| Score | Frequency |\n| --- | --- |\n| 0 | 4 |\n| 1 | 12 |\n| 2 | 6 |\n| 3 | 16 |\n| 4 | 20 |\n| 5 | 15 |" } ] }, { "id": "26358", "image": "26358.png", "conversations": [ { "from": "human", "question": "A gymnast jotted down the number of cartwheels she did each day. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n8, 10, 2, 5, 5\n\nFirst, count how many numbers are in the group.\n\nThere are 5 numbers.\n\nNow add all the numbers together:\n\n8 + 10 + 2 + 5 + 5 = 30\n\nNow divide the sum by the number of numbers:\n\n30 ÷ 5 = 6\n\nThe mean is 6.", "answer": "6", "table": "**Doing cartwheels**\n\n| Day | Number of cartwheels |\n| --- | --- |\n| Monday | 8 |\n| Tuesday | 10 |\n| Wednesday | 2 |\n| Thursday | 5 |\n| Friday | 5 |" } ] }, { "id": "26360", "image": "26360.png", "conversations": [ { "from": "human", "question": "The county released data about how many schools there are in each town. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n2, 8, 2, 7, 8, 6, 3\n\nFirst, find the greatest number. The greatest number is 8.\n\nNext, find the least number. The least number is 2.\n\nSubtract the least number from the greatest number:\n\n8 − 2 = 6\n\nThe range is 6.", "answer": "6", "table": "**Schools in each town**\n\n| Town | Number of schools |\n| --- | --- |\n| Chesterton | 2 |\n| Springfield | 8 |\n| Watertown | 2 |\n| Ashland | 7 |\n| Greenwood | 8 |\n| Marion | 6 |\n| Riverside | 3 |" } ] }, { "id": "26364", "image": "26364.png", "conversations": [ { "from": "human", "question": "How much money does Alvin need to buy a yellow convertible and a red sports car?\n" }, { "from": "gpt", "solution": "Add the price of a yellow convertible and the price of a red sports car:\n\n$8,803.00 + $7,715.00 = $16,518.00\n\nAlvin needs $16,518.00.", "answer": "16,518", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| big blue van | $7,196.00 |\n| red sports car | $7,715.00 |\n| yellow sports car | $9,552.00 |\n| yellow convertible | $8,803.00 |" } ] }, { "id": "26368", "image": "26368.png", "conversations": [ { "from": "human", "question": "A survey asked office workers what they like to do when taking a break from work. What fraction of the respondents preferred stretching? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many respondents preferred stretching.\n\n370\n\nFind how many people responded in total.\n\n370 + 190 + 570 + 490 + 130 = 1,750\n\nDivide 370 by1,750.\n\n\\frac{370}{1,750}\n\nReduce the fraction.\n\n\\frac{370}{1,750} → \\frac{37}{175}\n\n\\frac{37}{175} of respondents preferred stretching.", "answer": "37/175", "table": "**Preferred break activities**\n\n| Activity | Number of respondents |\n| --- | --- |\n| Stretching | 370 |\n| Surfing the internet | 190 |\n| Chatting with coworkers | 570 |\n| Having a snack | 490 |\n| Checking personal e-mail | 130 |" } ] }, { "id": "26370", "image": "26370.png", "conversations": [ { "from": "human", "question": "How much money does Lorenzo need to buy a long white envelope and 8 duck stamps?\n" }, { "from": "gpt", "solution": "Find the cost of 8 duck stamps.\n\n$0.14 × 8 = $1.12\n\nNow find the total cost.\n\n$0.14 + $1.12 = $1.26\n\nLorenzo needs $1.26.", "answer": "1.26", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| large cardboard box | $0.78 |\n| long white envelope | $0.14 |\n| roll of packaging tape | $0.93 |\n| duck stamp | $0.14 |" } ] }, { "id": "26374", "image": "26374.png", "conversations": [ { "from": "human", "question": "Scott has $0.03. Does he have enough to buy a four-inch nail and a short steel screw?\n" }, { "from": "gpt", "solution": "Add the price of a four-inch nail and the price of a short steel screw:\n\n$0.02 + $0.03 = $0.05\n\n$0.05 is more than $0.03. Scott does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| gold tack | $0.08 |\n| red thumbtack | $0.02 |\n| flat-head bolt | $0.08 |\n| elastic band | $0.07 |\n| short steel screw | $0.03 |\n| four-inch nail | $0.02 |" } ] }, { "id": "26394", "image": "26394.png", "conversations": [ { "from": "human", "question": "Darren tracked how many laps he ran in the past 6 days. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n14, 16, 9, 14, 14, 16\n\nFirst, arrange the numbers from least to greatest:\n\n9, 14, 14, 14, 16, 16\n\nNow count how many times each number appears.\n\n9 appears 1 time.\n14 appears 3 times.\n16 appears 2 times.\n\nThe number that appears most often is 14.\n\nThe mode is 14.", "answer": "14", "table": "**Laps ran**\n\n| Day | Number of laps |\n| --- | --- |\n| Tuesday | 14 |\n| Wednesday | 16 |\n| Thursday | 9 |\n| Friday | 14 |\n| Saturday | 14 |\n| Sunday | 16 |" } ] }, { "id": "26408", "image": "26408.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does Soccer class end?\n" }, { "from": "gpt", "solution": "Find Soccer class on the schedule. Find the end time for Soccer class.\n\nSoccer: 10:45 A. M.", "answer": "10:45 A.M.", "table": "**Gym teacher's schedule**\n\n| Class | Begin | End |\n| --- | --- | --- |\n| Floor Hockey | 8:20 A.M. | 9:05 A.M. |\n| Soccer | 9:20 A.M. | 10:45 A.M. |\n| Aerobics | 10:50 A.M. | 12:25 P.M. |\n| Weightlifting | 12:35 P.M. | 1:35 P.M. |\n| Running | 1:40 P.M. | 2:50 P.M. |\n| Softball | 3:05 P.M. | 4:40 P.M. |" } ] }, { "id": "26411", "image": "26411.png", "conversations": [ { "from": "human", "question": "The school district compared how many math teachers each high school has. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n3, 7, 6, 5, 3, 6, 9, 4\n\nFirst, find the greatest number. The greatest number is 9.\n\nNext, find the least number. The least number is 3.\n\nSubtract the least number from the greatest number:\n\n9 − 3 = 6\n\nThe range is 6.", "answer": "6", "table": "**Math teachers**\n\n| High school | Number of math teachers |\n| --- | --- |\n| Northside High | 3 |\n| Lincoln High | 7 |\n| River High | 6 |\n| Cedar High | 5 |\n| Green High | 3 |\n| Moore High | 6 |\n| Thompson High | 9 |\n| Washington High | 4 |" } ] }, { "id": "26423", "image": "26423.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does the family skate begin?\n" }, { "from": "gpt", "solution": "Find the family skate on the schedule. Find the beginning time for the family skate.\n\nfamily skate: 3:20 P. M.", "answer": "3:20 P.M.", "table": "**Skating rink schedule**\n\n| Activity | Begin | End |\n| --- | --- | --- |\n| private class | 7:15 A.M. | 8:15 A.M. |\n| children's class | 8:20 A.M. | 9:05 A.M. |\n| backward skate | 9:10 A.M. | 11:05 A.M. |\n| hockey practice | 11:15 A.M. | 12:15 P.M. |\n| adult class | 12:30 P.M. | 2:10 P.M. |\n| hockey game | 2:15 P.M. | 3:05 P.M. |\n| family skate | 3:20 P.M. | 3:55 P.M. |\n| figure skating practice | 4:00 P.M. | 5:55 P.M. |\n| speed skate | 6:05 P.M. | 8:05 P.M. |" } ] }, { "id": "26425", "image": "26425.png", "conversations": [ { "from": "human", "question": "A farmer recalled how many watermelons were harvested in the past 4 days. On which day were the fewest watermelons harvested?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 51.\n\nNow find the corresponding day. Thursday corresponds to 51.", "answer": "Thursday", "table": "**Watermelons harvested**\n\n| Day | Number of watermelons |\n| --- | --- |\n| Wednesday | 59 |\n| Thursday | 51 |\n| Friday | 56 |\n| Saturday | 52 |" } ] }, { "id": "26430", "image": "26430.png", "conversations": [ { "from": "human", "question": "Addison graphed the temperature at noon for 6 days. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n4, 4, 6, 6, 4, 7\n\nFirst, arrange the numbers from least to greatest:\n\n4, 4, 4, 6, 6, 7\n\nNow count how many times each number appears.\n\n4 appears 3 times.\n6 appears 2 times.\n7 appears 1 time.\n\nThe number that appears most often is 4.\n\nThe mode is 4.", "answer": "4", "table": "**Temperature at noon**\n\n| Day | Temperature (°C) |\n| --- | --- |\n| Tuesday | 4 |\n| Wednesday | 4 |\n| Thursday | 6 |\n| Friday | 6 |\n| Saturday | 4 |\n| Sunday | 7 |" } ] }, { "id": "26433", "image": "26433.png", "conversations": [ { "from": "human", "question": "A hardware store monitored how many hammers it sold in the past 6 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n84, 78, 80, 82, 82, 81\n\nFirst, find the greatest number. The greatest number is 84.\n\nNext, find the least number. The least number is 78.\n\nSubtract the least number from the greatest number:\n\n84 − 78 = 6\n\nThe range is 6.", "answer": "6", "table": "**Hammers sold**\n\n| Day | Number of hammers |\n| --- | --- |\n| Monday | 84 |\n| Tuesday | 78 |\n| Wednesday | 80 |\n| Thursday | 82 |\n| Friday | 82 |\n| Saturday | 81 |" } ] }, { "id": "26434", "image": "26434.png", "conversations": [ { "from": "human", "question": "How much money does Deion need to buy 4 rides on the Big Drop?\n" }, { "from": "gpt", "solution": "Find the total cost of 4 rides on the Big Drop by multiplying 4 times the price of a ride on the Big Drop.\n\n$3.63 × 4 = $14.52\n\nDeion needs $14.52.", "answer": "14.52", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| ride on the Swinging Ship | $2.63 |\n| ride on the Animal Carousel | $4.41 |\n| trip through the Crazy Fun House | $4.99 |\n| ride on the Big Drop | $3.63 |\n| ride on Wild Raft River | $2.24 |" } ] }, { "id": "26437", "image": "26437.png", "conversations": [ { "from": "human", "question": "Terrence has $1,199. Does he have enough to buy a hot plate and a box of thermometers?\n" }, { "from": "gpt", "solution": "Add the price of a hot plate and the price of a box of thermometers:\n\n$452 + $786 = $1,238\n\n$1,238 is more than $1,199. Terrence does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| laboratory freezer | $956 |\n| microscope | $862 |\n| box of thermometers | $786 |\n| hot plate | $452 |\n| incubator | $535 |" } ] }, { "id": "26441", "image": "26441.png", "conversations": [ { "from": "human", "question": "A researcher working for a cereal company surveyed people about their cereal consumption habits. How many people ate cereal exactly once last week?\n" }, { "from": "gpt", "solution": "Find the row for 1 time and read the frequency. The frequency is 12.\n\n12 people ate cereal exactly once last week.", "answer": "12", "table": "**Eating cereal last week**\n\n| Times eaten | Frequency |\n| --- | --- |\n| 0 | 15 |\n| 1 | 12 |\n| 2 | 14 |\n| 3 | 7 |\n| 4 | 11 |\n| 5 | 2 |" } ] }, { "id": "26442", "image": "26442.png", "conversations": [ { "from": "human", "question": "How much money does Ethan need to buy 9 hedgehogs?\n" }, { "from": "gpt", "solution": "Find the total cost of 9 hedgehogs by multiplying 9 times the price of a hedgehog.\n\n$78.46 × 9 = $706.14\n\nEthan needs $706.14.", "answer": "706.14", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| cockatoo | $16.19 |\n| king snake | $63.95 |\n| pot-bellied pig | $68.56 |\n| hedgehog | $78.46 |\n| chameleon | $56.91 |" } ] }, { "id": "26446", "image": "26446.png", "conversations": [ { "from": "human", "question": "Each room has 2 windows. How many windows are in 4 rooms?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 8 windows in 4 rooms.", "answer": "8", "table": "| Number of rooms | Number of windows |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | 6 |\n| 4 | ? |" } ] }, { "id": "26455", "image": "26455.png", "conversations": [ { "from": "human", "question": "Kelly has $40.63. How much money will Kelly have left if she buys a cutting board and a set of spoons?\n" }, { "from": "gpt", "solution": "Find the total cost of a cutting board and a set of spoons.\n\n$24.50 + $14.47 = $38.97\n\nNow subtract the total cost from the starting amount.\n\n$40.63 - $38.97 = $1.66\n\nKelly will have $1.66 left.", "answer": "1.66", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| cutting board | $24.50 |\n| cookie jar | $13.65 |\n| set of spoons | $14.47 |\n| soup pot | $34.91 |" } ] }, { "id": "26456", "image": "26456.png", "conversations": [ { "from": "human", "question": "Kelly's class recorded how many states each student has visited. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n10, 7, 1, 7, 6, 1, 10, 7\n\nFirst, arrange the numbers from least to greatest:\n\n1, 1, 6, 7, 7, 7, 10, 10\n\nNow count how many times each number appears.\n\n1 appears 2 times.\n6 appears 1 time.\n7 appears 3 times.\n10 appears 2 times.\n\nThe number that appears most often is 7.\n\nThe mode is 7.", "answer": "7", "table": "**States visited**\n\n| Name | Number of states |\n| --- | --- |\n| Kelly | 10 |\n| Emmet | 7 |\n| Megan | 1 |\n| Ian | 7 |\n| Baldwin | 6 |\n| Clayton | 1 |\n| Lila | 10 |\n| Gavin | 7 |" } ] }, { "id": "26461", "image": "26461.png", "conversations": [ { "from": "human", "question": "For a psychology assignment, Zoe kept a sleep log for 5 days. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 7, 6, 6, 6\n\nFirst, arrange the numbers from least to greatest:\n\n6, 6, 6, 7, 7\n\nNow count how many times each number appears.\n\n6 appears 3 times.\n7 appears 2 times.\n\nThe number that appears most often is 6.\n\nThe mode is 6.", "answer": "6", "table": "**Hours slept**\n\n| Day | Hours |\n| --- | --- |\n| Saturday | 7 |\n| Sunday | 7 |\n| Monday | 6 |\n| Tuesday | 6 |\n| Wednesday | 6 |" } ] }, { "id": "26465", "image": "26465.png", "conversations": [ { "from": "human", "question": "Each laundry hamper has 5 pairs of shorts. How many pairs of shorts are in 6 laundry hampers?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 30 pairs of shorts in 6 laundry hampers.", "answer": "30", "table": "| Number of laundry hampers | Number of pairs of shorts |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | 20 |\n| 5 | 25 |\n| 6 | ? |" } ] }, { "id": "26466", "image": "26466.png", "conversations": [ { "from": "human", "question": "Candice likes watching the show Engineering Marvels. In last night's episode, the engineering team visited a tall skyscraper and a deep mine. A banner at the bottom of the screen showed the elevation of each location the team visited. Which location is closer to sea level?\n" }, { "from": "gpt", "solution": "The top of the skyscraper has a positive elevation, so it is above sea level. The bottom of the mine has a negative elevation, so it is below sea level.\nTo find the location closer to sea level, use absolute value. Absolute value tells you how far each location is from sea level.\nTop of the skyscraper: |275| = 275\nBottom of the mine: |-260| = 260\nThe top of the skyscraper is 275 meters above sea level, but the bottom of the mine is only260 meters below sea level. The bottom of the mine is closer to sea level.", "answer": "bottom of the mine", "table": "| Location | Elevation (m) |\n| --- | --- |\n| Top of the skyscraper | 275 |\n| Bottom of the mine | -260 |" } ] }, { "id": "26469", "image": "26469.png", "conversations": [ { "from": "human", "question": "Each basket has 10 lilies. How many lilies are in 4 baskets?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 40 lilies in 4 baskets.", "answer": "40", "table": "| Number of baskets | Number of lilies |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | ? |" } ] }, { "id": "26473", "image": "26473.png", "conversations": [ { "from": "human", "question": "Harry has $0.50. Does he have enough to buy a flat-head bolt and an elastic band?\n" }, { "from": "gpt", "solution": "Add the price of a flat-head bolt and the price of an elastic band:\n\n$0.13 + $0.22 = $0.35\n\n$0.35 is less than $0.50. Harry does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| short steel screw | $0.35 |\n| flat-head bolt | $0.13 |\n| miniature padlock | $0.59 |\n| ball of twine | $0.85 |\n| elastic band | $0.22 |" } ] }, { "id": "26475", "image": "26475.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $230, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $230, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $230 | 19,000 | 6,200 |\n| $410 | 14,500 | 8,200 |\n| $590 | 10,000 | 10,200 |\n| $770 | 5,500 | 12,200 |\n| $950 | 1,000 | 14,200 |" } ] }, { "id": "26478", "image": "26478.png", "conversations": [ { "from": "human", "question": "How much money does Leslie need to buy 6 denim skirts and 7 red sweaters?\n" }, { "from": "gpt", "solution": "Find the cost of 6 denim skirts.\n\n$20.00 × 6 = $120.00\n\nFind the cost of 7 red sweaters.\n\n$19.00 × 7 = $133.00\n\nNow find the total cost.\n\n$120.00 + $133.00 = $253.00\n\nLeslie needs $253.00.", "answer": "253", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| red sweater | $19.00 |\n| pair of shoes | $10.00 |\n| denim skirt | $20.00 |\n| winter jacket | $50.00 |" } ] }, { "id": "26482", "image": "26482.png", "conversations": [ { "from": "human", "question": "A baseball player paid attention to how many baseballs he hit in practice each day. On which day did he hit the most baseballs?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 27.\n\nNow find the corresponding day. Sunday corresponds to 27.", "answer": "Sunday", "table": "**Baseballs hit**\n\n| Day | Number of baseballs |\n| --- | --- |\n| Thursday | 20 |\n| Friday | 21 |\n| Saturday | 26 |\n| Sunday | 27 |" } ] }, { "id": "26487", "image": "26487.png", "conversations": [ { "from": "human", "question": "Dr. Alexander, a zoo director, researched ticket prices at other zoos around the country. Which charges less for a senior ticket, the Los Angeles Zoo or the Bronx Zoo?\n" }, { "from": "gpt", "solution": "Find the Senior column. Compare the numbers in this column for Los Angeles and Bronx.\n\n$10.00 is less than $13.00. The Los Angeles Zoo charges less for a senior.", "answer": "Los Angeles", "table": "**Zoo ticket prices**\n\n| Zoo | Child | Senior |\n| --- | --- | --- |\n| Central Florida | $7 | $9 |\n| Oakland | $7 | $7 |\n| Los Angeles | $8 | $10 |\n| Bronx | $11 | $13 |\n| Atlanta | $14 | $15 |" } ] }, { "id": "26491", "image": "26491.png", "conversations": [ { "from": "human", "question": "How much money does Henry need to buy a cupcake and a chocolate-chip cookie?\n" }, { "from": "gpt", "solution": "Add the price of a cupcake and the price of a chocolate-chip cookie:\n\n$0.69 + $0.82 = $1.51\n\nHenry needs $1.51.", "answer": "1.51", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| muffin | $0.74 |\n| brownie | $0.92 |\n| cupcake | $0.69 |\n| chocolate-chip cookie | $0.82 |\n| blueberry muffin | $0.66 |" } ] }, { "id": "26493", "image": "26493.png", "conversations": [ { "from": "human", "question": "The shop teacher, Mr. Sherman, wrote down how many picture frames the students made last week. How many students made at least 1 picture frame?\n" }, { "from": "gpt", "solution": "Find the rows for 1, 2, 3, 4, and 5 picture frames. Add the frequencies for these rows.\n\nAdd:\n\n2 + 8 + 4 + 13 + 10 = 37\n\n37 students made at least 1 picture frame.", "answer": "37", "table": "**Making picture frames**\n\n| Picture frames made | Frequency |\n| --- | --- |\n| 0 | 6 |\n| 1 | 2 |\n| 2 | 8 |\n| 3 | 4 |\n| 4 | 13 |\n| 5 | 10 |" } ] }, { "id": "26494", "image": "26494.png", "conversations": [ { "from": "human", "question": "Look at Mario's pay stub. Mario lives in a state without state income tax. How much payroll tax did Mario pay in total?\n" }, { "from": "gpt", "solution": "To find the total payroll tax, add the federal income tax and the other taxes.\nThe federal income tax is $109.30. The other taxes are $65.71. Add.\n$109.30 + $65.71 = $175.01\nMario paid a total of $175.01 in payroll tax.", "answer": "175.01", "table": "| Employee | Pay period | |\n| --- | --- | --- |\n| Mario Russo | May 1-7 | |\n| Total earnings | | $859.00 |\n| Federal income tax | $109.30 | |\n| Other taxes | $65.71 | |\n| Total taxes | | ? |\n| Pay after taxes | | ? |" } ] }, { "id": "26501", "image": "26501.png", "conversations": [ { "from": "human", "question": "Some scooter companies compared how many scooters they sold. Which company sold the fewest scooters?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 935.\n\nNow find the corresponding company. Zippy Scooters corresponds to 935.", "answer": "Zippy Scooters", "table": "**Scooters sold**\n\n| Company | Number of scooters sold |\n| --- | --- |\n| Zippy Scooters | 935 |\n| Sweeney Scooters | 959 |\n| Let's Jet Scooters | 953 |\n| Rocket Scooters | 992 |" } ] }, { "id": "26510", "image": "26510.png", "conversations": [ { "from": "human", "question": "Chef Goodwin baked his famous casseroles for a company holiday party. The casseroles had different shapes and different delicious fillings. What is the probability that a randomly selected casserole is filled with spinach and is shaped like a rectangle? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the casserole is filled with spinach\" and B be the event \"the casserole is shaped like a rectangle\".\nTo find the probability that a casserole is filled with spinach and is shaped like a rectangle, first identify the sample space and the event.\nThe outcomes in the sample space are the different casseroles. Each casserole is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the casserole is filled with spinach and is shaped like a rectangle\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the casserole is filled with spinach and is shaped like a rectangle\", so look at the table to see how many casseroles are filled with spinach and are shaped like a rectangle.\nThe number of casseroles that are filled with spinach and are shaped like a rectangle is 2.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of casseroles.\n2 + 6 + 5 + 2 = 15\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{2}{15}\nThe probability that a casserole is filled with spinach and is shaped like a rectangle is \\frac{2}{15}.", "answer": "2/15", "table": "| | Rectangle | Circle |\n| --- | --- | --- |\n| Spinach | 2 | 5 |\n| Cheese | 6 | 2 |" } ] }, { "id": "26514", "image": "26514.png", "conversations": [ { "from": "human", "question": "Billy has two dogs, Sprinkles and Champ. He is concerned because Sprinkles keeps eating Champ's food. Billy asks their vet how much each dog's weight has changed since their last visit. Which dog's weight has changed the most?\n" }, { "from": "gpt", "solution": "To find which dog's weight changed the most, use absolute value. Absolute value tells you how much each dog's weight has changed.\nSprinkles: |5| = 5\nChamp: |-6| = 6\nChamp's weight has changed the most. He has lost 6 ounces.", "answer": "Champ", "table": "| Dog | Weight change (oz.) |\n| --- | --- |\n| Sprinkles | 5 |\n| Champ | -6 |" } ] }, { "id": "26523", "image": "26523.png", "conversations": [ { "from": "human", "question": "Sofia, a candy store employee, placed peppermint candies into jars of various sizes. How many jars had at least 10 peppermint candies?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1, 2, 3, 4, and 5.\n\nYou counted 17 leaves, which are blue in the stem-and-leaf plot above. 17 jars had at least 10 peppermint candies.", "answer": "17", "table": "**Peppermint candies per jar**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1, 1, 1, 4 |\n| 2 | 1, 2, 3, 5, 6 |\n| 3 | 3, 4, 6 |\n| 4 | 3, 6, 7 |\n| 5 | 4, 8 |" } ] }, { "id": "26524", "image": "26524.png", "conversations": [ { "from": "human", "question": "A front desk clerk looked up how many guests the hotel had each day. On which day did the hotel have the fewest guests?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 40.\n\nNow find the corresponding day. Sunday corresponds to 40.", "answer": "Sunday", "table": "**Hotel guests**\n\n| Day | Number of guests |\n| --- | --- |\n| Saturday | 49 |\n| Sunday | 40 |\n| Monday | 48 |\n| Tuesday | 43 |" } ] }, { "id": "26527", "image": "26527.png", "conversations": [ { "from": "human", "question": "A city recorded how many people rode the subway each day. How many more people rode the subway on Thursday than on Wednesday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nThursday: 3,156\nWednesday: 1,742\n\nNow subtract: 3,156 - 1,742 = 1,414.\n\n1,414 more people rode the subway on Thursday.", "answer": "1,414", "table": "**Subway riders**\n\n| Day | Number of riders |\n| --- | --- |\n| Sunday | 7,741 |\n| Monday | 4,488 |\n| Tuesday | 6,224 |\n| Wednesday | 1,742 |\n| Thursday | 3,156 |" } ] }, { "id": "26529", "image": "26529.png", "conversations": [ { "from": "human", "question": "Tori went to the store. She bought 1.4 pounds of couscous. How much did she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the couscous. Multiply the price per pound by the number of pounds.\n$1 × 1.4 = $1.40\nShe spent $1.40.", "answer": "1.40", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| rice | $3 per pound |\n| barley | $2 per pound |\n| couscous | $1 per pound |\n| rye | $1 per pound |" } ] }, { "id": "26539", "image": "26539.png", "conversations": [ { "from": "human", "question": "A hot dog stand kept track of the number of hot dogs sold each day. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n17, 12, 20, 10, 16\n\nFirst, arrange the numbers from least to greatest:\n\n10, 12, 16, 17, 20\n\nNow find the number in the middle.\n\n10, 12, 16, 17, 20\n\nThe number in the middle is 16.\n\nThe median is 16.", "answer": "16", "table": "**Hot dogs sold**\n\n| Day | Number of hot dogs |\n| --- | --- |\n| Saturday | 17 |\n| Sunday | 12 |\n| Monday | 20 |\n| Tuesday | 10 |\n| Wednesday | 16 |" } ] }, { "id": "26546", "image": "26546.png", "conversations": [ { "from": "human", "question": "A real estate agent looked into how many houses were sold in different cities. In all, how many houses were sold in Briggs Corner and Melville?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nBriggs Corner: 105\nMelville: 100\n\nNow add: 105 + 100 = 205.\n\nIn all, 205 houses were sold in Briggs Corner and Melville.", "answer": "205", "table": "**House sales**\n\n| City | Number of houses sold |\n| --- | --- |\n| Pennytown | 446 |\n| Briggs Corner | 105 |\n| Melville | 100 |" } ] }, { "id": "26547", "image": "26547.png", "conversations": [ { "from": "human", "question": "The manager of a party supply store researched how many balloons it sold in the past 5 days. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n3, 6, 9, 5, 7\n\nFirst, count how many numbers are in the group.\n\nThere are 5 numbers.\n\nNow add all the numbers together:\n\n3 + 6 + 9 + 5 + 7 = 30\n\nNow divide the sum by the number of numbers:\n\n30 ÷ 5 = 6\n\nThe mean is 6.", "answer": "6", "table": "**Balloons sold**\n\n| Day | Number of balloons |\n| --- | --- |\n| Sunday | 3 |\n| Monday | 6 |\n| Tuesday | 9 |\n| Wednesday | 5 |\n| Thursday | 7 |" } ] }, { "id": "26549", "image": "26549.png", "conversations": [ { "from": "human", "question": "Carson wrote down how many glasses of water he drank during the past 5 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 2, 9, 4, 7\n\nFirst, arrange the numbers from least to greatest:\n\n2, 4, 7, 9, 9\n\nNow find the number in the middle.\n\n2, 4, 7, 9, 9\n\nThe number in the middle is 7.\n\nThe median is 7.", "answer": "7", "table": "**Glasses of water**\n\n| Day | Number of glasses |\n| --- | --- |\n| Saturday | 9 |\n| Sunday | 2 |\n| Monday | 9 |\n| Tuesday | 4 |\n| Wednesday | 7 |" } ] }, { "id": "26552", "image": "26552.png", "conversations": [ { "from": "human", "question": "Mrs. Kirk kept track of her students' scores on last year's final exam. How many students scored exactly 80 points?\n" }, { "from": "gpt", "solution": "For the number 80, the stem is 8, and the leaf is 0. Find the row where the stem is 8. In that row, count all the leaves equal to 0.\n\nYou counted 0 leaves. 0 students scored exactly 80 points.", "answer": "0", "table": "**Final exam scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1, 4, 7 |\n| 2 | 7, 9 |\n| 3 | |\n| 4 | 0, 3, 6, 8 |\n| 5 | 0, 1, 1, 2 |\n| 6 | 3, 4, 7, 7 |\n| 7 | 2, 6, 6, 8, 9, 9 |\n| 8 | 6 |" } ] }, { "id": "26578", "image": "26578.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $905, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $905, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $575 | 20,200 | 16,900 |\n| $685 | 15,600 | 18,300 |\n| $795 | 11,000 | 19,700 |\n| $905 | 6,400 | 21,100 |\n| $1,015 | 1,800 | 22,500 |" } ] }, { "id": "26590", "image": "26590.png", "conversations": [ { "from": "human", "question": "While looking through an almanac at the library, Betty noticed some data showing the population density of various states. In 1990, which of the states shown had the most people per square mile?\n" }, { "from": "gpt", "solution": "Look at the numbers in the 1990 column. Find the greatest number in this column.\n\nThe greatest number is 10, which is in the Nevada row. In 1990, Nevada had the most people per square mile.", "answer": "Nevada", "table": "**Population per square mile**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| State | 1990 | 2000 |\n| North Dakota | 9 | 9 |\n| Montana | 5 | 6 |\n| Nevada | 10 | 18 |\n| South Dakota | 9 | 10 |" } ] }, { "id": "26592", "image": "26592.png", "conversations": [ { "from": "human", "question": "Several students participated in a race. Which runner took the longest?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 17.\n\nNow find the corresponding runner. Kimberly corresponds to 17.", "answer": "Kimberly", "table": "**Race results**\n\n| Runner | Time (minutes) |\n| --- | --- |\n| Florence | 11 |\n| Tori | 13 |\n| Bridget | 15 |\n| Kimberly | 17 |" } ] }, { "id": "26599", "image": "26599.png", "conversations": [ { "from": "human", "question": "At a swim meet, Eve noted the size of various swim teams. How many teams have fewer than 80 swimmers?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 4, 5, 6, and 7.\n\nYou counted 16 leaves, which are blue in the stem-and-leaf plot above. 16 teams have fewer than 80 swimmers.", "answer": "16", "table": "**Swimming team sizes (number of swimmers)**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 4, 9 |\n| 5 | 0, 0, 1, 4, 7, 7 |\n| 6 | 0, 2, 4, 6 |\n| 7 | 0, 0, 5, 9 |\n| 8 | 2, 3, 4, 4, 4, 4, 7, 8 |\n| 9 | 0 |" } ] }, { "id": "26600", "image": "26600.png", "conversations": [ { "from": "human", "question": "An architecture student measured the heights of all the buildings downtown. How many buildings are exactly 77 meters tall?\n" }, { "from": "gpt", "solution": "For the number 77, the stem is 7, and the leaf is 7. Find the row where the stem is 7. In that row, count all the leaves equal to 7.\n\nYou counted 1 leaf, which is blue in the stem-and-leaf plot above. 1 building is exactly 77 meters tall.", "answer": "1", "table": "**Building heights (meters)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 1 |\n| 2 | |\n| 3 | 6 |\n| 4 | 2 |\n| 5 | |\n| 6 | 0, 3, 3, 5, 6 |\n| 7 | 4, 7 |\n| 8 | 5, 6 |" } ] }, { "id": "26612", "image": "26612.png", "conversations": [ { "from": "human", "question": "Miss Livingston ran a sit-up competition among her P.E. students and monitored how many sit-ups each students could do. How many people did at least 24 sit-ups?\n" }, { "from": "gpt", "solution": "Find the row with stem 2. Count all the leaves greater than or equal to 4.\n\nCount all the leaves in the rows with stems 3, 4, 5, 6, and 7.\n\nYou counted 19 leaves, which are blue in the stem-and-leaf plots above. 19 people did at least 24 sit-ups.", "answer": "19", "table": "**Sit-up competition (number of sit-ups)**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 4 |\n| 3 | 0, 0, 6, 8 |\n| 4 | 1, 6, 8 |\n| 5 | 8, 9 |\n| 6 | 0, 1, 1, 6, 8 |\n| 7 | 0, 3, 5, 6 |" } ] }, { "id": "26614", "image": "26614.png", "conversations": [ { "from": "human", "question": "Abigail wants to buy 2+1/2 kilograms of sticky rice. How much will she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the sticky rice. Multiply the price per kilogram by the number of kilograms.\n$2 × 2\\frac{1}{2} = $2 × 2.5 = $5\nShe will spend $5.", "answer": "5", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| Bhutanese red rice | $3 per kilogram |\n| sticky rice | $2 per kilogram |\n| African rice | $2 per kilogram |\n| white rice | $3 per kilogram |" } ] }, { "id": "26615", "image": "26615.png", "conversations": [ { "from": "human", "question": "How much money does Maya need to buy a grapefruit and a cucumber?\n" }, { "from": "gpt", "solution": "Add the price of a grapefruit and the price of a cucumber:\n\n$0.90 + $0.84 = $1.74\n\nMaya needs $1.74.", "answer": "1.74", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| grapefruit | $0.90 |\n| cucumber | $0.84 |\n| red pepper | $0.62 |\n| tomato | $0.28 |" } ] }, { "id": "26616", "image": "26616.png", "conversations": [ { "from": "human", "question": "How much more does a short steel screw cost than a gold tack?\n" }, { "from": "gpt", "solution": "Subtract the price of a gold tack from the price of a short steel screw.\n\n$0.24 - $0.11 = $0.13\n\nA short steel screw costs $0.13 more than a gold tack.", "answer": "0.13", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| ball of twine | $0.66 |\n| short steel screw | $0.24 |\n| piece of plastic pipe | $0.18 |\n| gold tack | $0.11 |" } ] }, { "id": "26621", "image": "26621.png", "conversations": [ { "from": "human", "question": "A technical support line tracked how many calls it received each day. On which day did the support line receive the most calls?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 193.\n\nNow find the corresponding day. Saturday corresponds to 193.", "answer": "Saturday", "table": "**Phone calls received**\n\n| Day | Number of calls |\n| --- | --- |\n| Friday | 139 |\n| Saturday | 193 |\n| Sunday | 192 |\n| Monday | 113 |" } ] }, { "id": "26622", "image": "26622.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does aerobics begin?\n" }, { "from": "gpt", "solution": "Find aerobics on the schedule. Find the beginning time for aerobics.\n\naerobics: 1:10 P. M.", "answer": "1:10 P.M.", "table": "**Gym schedule**\n\n| Activity | Begin | End |\n| --- | --- | --- |\n| line dancing | 7:55 A.M. | 9:35 A.M. |\n| fitness class | 9:50 A.M. | 11:15 A.M. |\n| gymnastics | 11:25 A.M. | 12:10 P.M. |\n| yoga | 12:25 P.M. | 12:55 P.M. |\n| aerobics | 1:10 P.M. | 1:50 P.M. |\n| badminton | 2:05 P.M. | 2:35 P.M. |\n| dodgeball | 2:40 P.M. | 3:25 P.M. |\n| volleyball | 3:35 P.M. | 5:00 P.M. |\n| floor hockey | 5:15 P.M. | 5:50 P.M. |\n| indoor soccer | 6:00 P.M. | 6:30 P.M. |" } ] }, { "id": "26626", "image": "26626.png", "conversations": [ { "from": "human", "question": "Tracy has $0.14. Does she have enough to buy a brown cat's eye bead and a shiny red bead?\n" }, { "from": "gpt", "solution": "Add the price of a brown cat's eye bead and the price of a shiny red bead:\n\n$0.08 + $0.05 = $0.13\n\n$0.13 is less than $0.14. Tracy does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| shiny red bead | $0.05 |\n| orange glass bead | $0.06 |\n| square yellow bead | $0.06 |\n| brown cat's eye bead | $0.08 |\n| shiny metal bead | $0.07 |" } ] }, { "id": "26627", "image": "26627.png", "conversations": [ { "from": "human", "question": "Ivan measured the length of each scarf in the clothing store where he works. How many scarves are at least 60 centimeters but less than 90 centimeters?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 6, 7, and 8.\n\nYou counted 15 leaves, which are blue in the stem-and-leaf plot above. 15 scarves are at least 60 centimeters but less than 90 centimeters.", "answer": "15", "table": "**Scarf lengths (centimeters)**\n\n| Stem | Leaf |\n| --- | --- |\n| 6 | 9 |\n| 7 | 1, 1, 3, 4, 4, 6, 7, 7 |\n| 8 | 0, 4, 5, 7, 9, 9 |\n| 9 | 0, 0 |" } ] }, { "id": "26636", "image": "26636.png", "conversations": [ { "from": "human", "question": "The parks department compared how many soccer fields there are at each park. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n2, 2, 3, 1, 2\n\nFirst, count how many numbers are in the group.\n\nThere are 5 numbers.\n\nNow add all the numbers together:\n\n2 + 2 + 3 + 1 + 2 = 10\n\nNow divide the sum by the number of numbers:\n\n10 ÷ 5 = 2\n\nThe mean is 2.", "answer": "2", "table": "**Soccer fields**\n\n| Park | Number of soccer fields |\n| --- | --- |\n| Middle Park | 2 |\n| Windy Hill Park | 2 |\n| Juniper Park | 3 |\n| Canyon Park | 1 |\n| Lighthouse Park | 2 |" } ] }, { "id": "26637", "image": "26637.png", "conversations": [ { "from": "human", "question": "A magazine editor looked at his sales figures for the past 4 months. How many more copies were sold in November than in January?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nNovember: 849\nJanuary: 261\n\nNow subtract: 849 - 261 = 588.\n\n588 more copies were sold in November.", "answer": "588", "table": "**Magazines sold**\n\n| Month | Number of magazines |\n| --- | --- |\n| October | 677 |\n| November | 849 |\n| December | 111 |\n| January | 261 |" } ] }, { "id": "26639", "image": "26639.png", "conversations": [ { "from": "human", "question": "An agricultural agency is researching how much cheese people have been eating in different parts of the world. In 2006, how much more cheese did Germany consume per capita than Great Britain?\n" }, { "from": "gpt", "solution": "Find the 2006 column. Find the numbers in this column for Germany and Great Britain.\n\nGermany: 20\nGreat Britain: 10\n\nNow subtract:\n\n20 − 10 = 10\n\nIn 2006, Germany consumed 10 kilograms more cheese per capita than Great Britain.", "answer": "10", "table": "**Cheese consumption per capita (kg)**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 1996 | 2006 |\n| Australia | 10 | 10 |\n| Great Britain | 9 | 10 |\n| Austria | 10 | 17 |\n| Germany | 12 | 20 |" } ] }, { "id": "26646", "image": "26646.png", "conversations": [ { "from": "human", "question": "Mrs. Wong kept track of her students' scores on last year's final exam. What is the lowest score?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 0.\n\nNow find the lowest leaf in the first row. The lowest leaf is 5.\n\nThe lowest score has a stem of 0 and a leaf of 5. Write the stem first, then the leaf: 05.\n\nThe lowest score is 5 points.", "answer": "5", "table": "**Final exam scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 0 | 5 |\n| 1 | 3, 7 |\n| 2 | |\n| 3 | |\n| 4 | 5 |\n| 5 | |\n| 6 | 3, 8 |\n| 7 | 0 |" } ] }, { "id": "26647", "image": "26647.png", "conversations": [ { "from": "human", "question": "How much money does Karen need to buy a bag of shredded cheese and a box of cereal?\n" }, { "from": "gpt", "solution": "Add the price of a bag of shredded cheese and the price of a box of cereal:\n\n$3.55 + $2.98 = $6.53\n\nKaren needs $6.53.", "answer": "6.53", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| bag of shredded cheese | $3.55 |\n| loaf of bread | $2.20 |\n| box of cereal | $2.98 |\n| bag of walnuts | $1.31 |\n| bag of chocolate chips | $5.45 |" } ] }, { "id": "26650", "image": "26650.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $645, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $645, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $165 | 20,200 | 8,300 |\n| $325 | 15,400 | 11,400 |\n| $485 | 10,600 | 14,500 |\n| $645 | 5,800 | 17,600 |\n| $805 | 1,000 | 20,700 |" } ] }, { "id": "26659", "image": "26659.png", "conversations": [ { "from": "human", "question": "A girl compared the ages of her cousins. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 9, 9, 9, 2, 2, 2, 10\n\nFirst, arrange the numbers from least to greatest:\n\n2, 2, 2, 9, 9, 9, 9, 10\n\nNow count how many times each number appears.\n\n2 appears 3 times.\n9 appears 4 times.\n10 appears 1 time.\n\nThe number that appears most often is 9.\n\nThe mode is 9.", "answer": "9", "table": "**Ages of cousins**\n\n| Name | Age (years) |\n| --- | --- |\n| Devin | 9 |\n| Emmy | 9 |\n| Bridgette | 9 |\n| Tyler | 9 |\n| Kylie | 2 |\n| Zachary | 2 |\n| Nicholas | 2 |\n| Jennifer | 10 |" } ] }, { "id": "26670", "image": "26670.png", "conversations": [ { "from": "human", "question": "Rachel went to the store. She bought 1 kilogram of honey-roasted almonds. How much did she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the honey-roasted almonds. Multiply the price per kilogram by the number of kilograms.\n\n$2.12 × 1 = $2.12\n\nShe spent $2.12.", "answer": "2.12", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| chocolate-covered almonds | $2.50 per kg |\n| unsalted almonds | $1.53 per kg |\n| yogurt-covered almonds | $1.27 per kg |\n| honey-roasted almonds | $2.12 per kg |\n| salted almonds | $1.08 per kg |\n| Jordan almonds | $1.36 per kg |" } ] }, { "id": "26678", "image": "26678.png", "conversations": [ { "from": "human", "question": "A bus driver paid attention to how many passengers her bus had each day. On which day did the bus have the most passengers?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 67.\n\nNow find the corresponding day. Monday corresponds to 67.", "answer": "Monday", "table": "**People on the bus**\n\n| Day | Number of people |\n| --- | --- |\n| Friday | 61 |\n| Saturday | 62 |\n| Sunday | 60 |\n| Monday | 67 |" } ] }, { "id": "26681", "image": "26681.png", "conversations": [ { "from": "human", "question": "During a lab exercise, students in Professor Brady's class rolled a 6-sided die and recorded the results. How many students are there in all?\n" }, { "from": "gpt", "solution": "Add the frequencies for each row.\n\nAdd:\n\n4 + 5 + 20 + 16 + 6 + 9 = 60\n\nThere are 60 students in all.", "answer": "60", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| Rolls of a | 6-sided die |\n| Numbers rolled | Frequency |\n| 1 | 4 |\n| 2 | 5 |\n| 3 | 20 |\n| 4 | 16 |\n| 5 | 6 |\n| 6 | 9 |" } ] }, { "id": "26709", "image": "26709.png", "conversations": [ { "from": "human", "question": "Camilla and her friends recorded their scores while playing a board game. How many people scored at least 8?\n" }, { "from": "gpt", "solution": "Find the rows for 8, 9, and 10. Add the frequencies for these rows.\n\nAdd:\n\n11 + 1 + 18 = 30\n\n30 people scored at least 8.", "answer": "30", "table": "**Scores on a board game**\n\n| Score | Frequency |\n| --- | --- |\n| 6 | 20 |\n| 7 | 17 |\n| 8 | 11 |\n| 9 | 1 |\n| 10 | 18 |" } ] }, { "id": "26711", "image": "26711.png", "conversations": [ { "from": "human", "question": "A reporter looked through his notebook to remember how many people he had interviewed in the past 7 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n8, 3, 4, 7, 5, 9, 5\n\nFirst, arrange the numbers from least to greatest:\n\n3, 4, 5, 5, 7, 8, 9\n\nNow find the number in the middle.\n\n3, 4, 5, 5, 7, 8, 9\n\nThe number in the middle is 5.\n\nThe median is 5.", "answer": "5", "table": "**People interviewed**\n\n| Day | Number of people |\n| --- | --- |\n| Tuesday | 8 |\n| Wednesday | 3 |\n| Thursday | 4 |\n| Friday | 7 |\n| Saturday | 5 |\n| Sunday | 9 |\n| Monday | 5 |" } ] }, { "id": "26713", "image": "26713.png", "conversations": [ { "from": "human", "question": "A magazine editor looked at her sales figures for the past 4 months. In which month were the most copies sold?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 882.\n\nNow find the corresponding month. July corresponds to 882.", "answer": "July", "table": "**Magazines sold**\n\n| Month | Number of magazines |\n| --- | --- |\n| April | 858 |\n| May | 825 |\n| June | 852 |\n| July | 882 |" } ] }, { "id": "26718", "image": "26718.png", "conversations": [ { "from": "human", "question": "Leo has $0.06. Does he have enough to buy a red thumbtack and a short steel screw?\n" }, { "from": "gpt", "solution": "Add the price of a red thumbtack and the price of a short steel screw:\n\n$0.04 + $0.03 = $0.07\n\n$0.07 is more than $0.06. Leo does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| four-inch nail | $0.02 |\n| small metal hook | $0.05 |\n| red thumbtack | $0.04 |\n| gold tack | $0.05 |\n| short steel screw | $0.03 |" } ] }, { "id": "26720", "image": "26720.png", "conversations": [ { "from": "human", "question": "Josiah's Treats counted how many times its most frequent customers ate ice cream last month. How many customers ate ice cream fewer than 2 times?\n" }, { "from": "gpt", "solution": "Find the rows for 0 and 1 time. Add the frequencies for these rows.\n\nAdd:\n\n10 + 19 = 29\n\n29 customers ate ice cream fewer than 2 times.", "answer": "29", "table": "**Eating ice cream last month**\n\n| Times eaten | Frequency |\n| --- | --- |\n| 0 | 10 |\n| 1 | 19 |\n| 2 | 15 |\n| 3 | 20 |\n| 4 | 7 |\n| 5 | 2 |\n| 6 | 4 |" } ] }, { "id": "26721", "image": "26721.png", "conversations": [ { "from": "human", "question": "A candy dispenser put various numbers of orange candies into bags. How many bags had exactly 36 orange candies?\n" }, { "from": "gpt", "solution": "For the number 36, the stem is 3, and the leaf is 6. Find the row where the stem is 3. In that row, count all the leaves equal to 6.\n\nYou counted 0 leaves. 0 bags had exactly 36 orange candies.", "answer": "0", "table": "**Orange candies per bag**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 4, 7 |\n| 3 | 2, 4 |\n| 4 | 0 |\n| 5 | 6, 7 |\n| 6 | 0, 7, 8 |\n| 7 | 0, 2, 6 |" } ] }, { "id": "26722", "image": "26722.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. At which stop does the train arrive at 1.25 P.M.?\n" }, { "from": "gpt", "solution": "Find 1:25 P. M. on the schedule. The train arrives at the basketball stadium at 1:25 P. M.", "answer": "basketball stadium", "table": "**Light rail train schedule**\n\n| Location | Time |\n| --- | --- |\n| zoo | 11:00 A.M. |\n| soccer field | 11:20 A.M. |\n| baseball stadium | 11:45 A.M. |\n| park | 12:10 P.M. |\n| art museum | 12:15 P.M. |\n| elementary school | 12:25 P.M. |\n| university | 12:30 P.M. |\n| grocery store | 12:40 P.M. |\n| post office | 12:55 P.M. |\n| basketball stadium | 1:25 P.M. |" } ] }, { "id": "26737", "image": "26737.png", "conversations": [ { "from": "human", "question": "Eliana looked over her calendar to see how many times she had soccer practice each month. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 23, 4, 20, 11\n\nFirst, find the greatest number. The greatest number is 23.\n\nNext, find the least number. The least number is 4.\n\nSubtract the least number from the greatest number:\n\n23 − 4 = 19\n\nThe range is 19.", "answer": "19", "table": "**Soccer practice**\n\n| Month | Number of practices |\n| --- | --- |\n| September | 7 |\n| October | 23 |\n| November | 4 |\n| March | 20 |\n| April | 11 |" } ] }, { "id": "26740", "image": "26740.png", "conversations": [ { "from": "human", "question": "During Fitness Day at school, Maria and her classmates took part in a pull-up competition, keeping track of the results. How many people did fewer than 90 pull-ups?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 2, 3, 4, 5, 6, 7, and 8.\n\nYou counted 11 leaves, which are blue in the stem-and-leaf plot above. 11 people did fewer than 90 pull-ups.", "answer": "11", "table": "**Pull-up competition (number of pull-ups)**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 3, 3, 6 |\n| 3 | |\n| 4 | 3, 4 |\n| 5 | 6 |\n| 6 | 7, 9 |\n| 7 | 1 |\n| 8 | 3, 5 |\n| 9 | 0 |" } ] }, { "id": "26742", "image": "26742.png", "conversations": [ { "from": "human", "question": "Pablo records the number of pairs of sandals owned by each of his classmates. How many students in the class own exactly 4 pairs of sandals?\n" }, { "from": "gpt", "solution": "Find the row for 4 pairs of sandals and read the frequency. The frequency is 3.\n\n3 students own exactly 4 pairs of sandals.", "answer": "3", "table": "**Pairs of sandals**\n\n| Number of pairs of sandals | Frequency |\n| --- | --- |\n| 0 | 11 |\n| 1 | 12 |\n| 2 | 13 |\n| 3 | 7 |\n| 4 | 3 |" } ] }, { "id": "26745", "image": "26745.png", "conversations": [ { "from": "human", "question": "Mrs. Hardin kept track of her students' scores on last year's final exam. How many students scored at least 20 points but fewer than 30 points?\n" }, { "from": "gpt", "solution": "Count all the leaves in the row with stem 2.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 students scored at least 20 points but fewer than 30 points.", "answer": "3", "table": "**Final exam scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0 |\n| 2 | 0, 3, 9 |\n| 3 | 8, 8 |\n| 4 | 9 |" } ] }, { "id": "26751", "image": "26751.png", "conversations": [ { "from": "human", "question": "A survey was conducted to learn people's chocolate preferences. What fraction of the respondents preferred white chocolate? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many respondents preferred white chocolate.\n\n860\n\nFind how many people responded in total.\n\n390 + 320 + 860 = 1,570\n\nDivide 860 by1,570.\n\n\\frac{860}{1,570}\n\nReduce the fraction.\n\n\\frac{860}{1,570} → \\frac{86}{157}\n\n\\frac{86}{157} of respondents preferred white chocolate.", "answer": "86/157", "table": "**Chocolate preferences**\n\n| Type | Number of respondents |\n| --- | --- |\n| Milk chocolate | 390 |\n| Dark chocolate | 320 |\n| White chocolate | 860 |" } ] }, { "id": "26752", "image": "26752.png", "conversations": [ { "from": "human", "question": "A shipping company keeps track of the number of boxes in each shipment they send out. How many shipments had fewer than 88 boxes?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 5, 6, and 7.\n\nIn the row with stem 8, count all the leaves less than 8.\n\nYou counted 15 leaves, which are blue in the stem-and-leaf plots above. 15 shipments had fewer than 88 boxes.", "answer": "15", "table": "**Boxes per shipment**\n\n| Stem | Leaf |\n| --- | --- |\n| 5 | 0, 1, 3, 4, 7, 9 |\n| 6 | 0, 1, 1, 7 |\n| 7 | 2, 4, 6, 8 |\n| 8 | 3, 8, 9, 9 |" } ] }, { "id": "26753", "image": "26753.png", "conversations": [ { "from": "human", "question": "Look at this table. Is this relation a function?\n" }, { "from": "gpt", "solution": "Look at the x-values in the table.\n\nThe x-value 6 is paired with multiple y-values, so the relation is not a function.", "answer": "no", "table": "| x | y |\n| --- | --- |\n| 6 | 10 |\n| 6 | 0 |\n| 3 | 19 |" } ] }, { "id": "26758", "image": "26758.png", "conversations": [ { "from": "human", "question": "Each desk has 10 envelopes. How many envelopes are in 4 desks?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 40 envelopes in 4 desks.", "answer": "40", "table": "| Number of desks | Number of envelopes |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | ? |" } ] }, { "id": "26764", "image": "26764.png", "conversations": [ { "from": "human", "question": "The owner of a bed and breakfast inn recalled how many guests the inn had hosted each day. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 9, 10, 9, 8\n\nFirst, count how many numbers are in the group.\n\nThere are 5 numbers.\n\nNow add all the numbers together:\n\n9 + 9 + 10 + 9 + 8 = 45\n\nNow divide the sum by the number of numbers:\n\n45 ÷ 5 = 9\n\nThe mean is 9.", "answer": "9", "table": "**Inn guests**\n\n| Day | Number of guests |\n| --- | --- |\n| Monday | 9 |\n| Tuesday | 9 |\n| Wednesday | 10 |\n| Thursday | 9 |\n| Friday | 8 |" } ] }, { "id": "26770", "image": "26770.png", "conversations": [ { "from": "human", "question": "This is Kenneth's complete financial record for April. On April 26, how much money did Kenneth earn?\n" }, { "from": "gpt", "solution": "Look at the 4/26 row. The amount received was $25.00. So, Kenneth earned $25.00 on April 26.\n", "answer": "25", "table": "| Date | Description | Received | Expenses | Available Funds |\n| --- | --- | --- | --- | --- |\n| | Balance: end of March | | | $341.90 |\n| 4/14 | phone case | | $13.40 | $328.50 |\n| 4/21 | app download | | $3.85 | $324.65 |\n| 4/26 | computer lesson | $25.00 | | $349.65 |" } ] }, { "id": "26787", "image": "26787.png", "conversations": [ { "from": "human", "question": "The Seaside Chamber of Commerce researched the number of employees working at local companies. How many companies have exactly 3 employees?\n" }, { "from": "gpt", "solution": "For the number 3, the stem is 0, and the leaf is 3. Find the row where the stem is 0. In that row, count all the leaves equal to 3.\n\nYou counted 1 leaf, which is blue in the stem-and-leaf plot above. 1 company has exactly 3 employees.", "answer": "1", "table": "**Company sizes (number of employees)**\n\n| Stem | Leaf |\n| --- | --- |\n| 0 | 1, 2, 3 |\n| 1 | |\n| 2 | |\n| 3 | 0 |\n| 4 | |\n| 5 | 4, 5, 8, 9, 9 |\n| 6 | 5 |\n| 7 | 0 |\n| 8 | |\n| 9 | 0 |" } ] }, { "id": "26789", "image": "26789.png", "conversations": [ { "from": "human", "question": "Quincy counted the number of articles in several different magazines. How many magazines had at least 10 articles but less than 40 articles?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1, 2, and 3.\n\nYou counted 14 leaves, which are blue in the stem-and-leaf plot above. 14 magazines had at least 10 articles but less than 40 articles.", "answer": "14", "table": "**Articles per magazine**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 5, 6, 7, 8 |\n| 2 | 2, 3, 6 |\n| 3 | 3, 3, 4, 5, 7, 9, 9 |\n| 4 | 0, 1, 2, 4, 6, 8 |" } ] }, { "id": "26794", "image": "26794.png", "conversations": [ { "from": "human", "question": "Irma wants to buy 3 pounds of chicken and 3 pounds of turkey. How much will she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the chicken. Multiply:\n\n$7.85 × 3 = $23.55\n\nFind the cost of the turkey. Multiply:\n\n$9.35 × 3 = $28.05\n\nNow find the total cost by adding:\n\n$23.55 + $28.05 = $51.60\n\nShe will spend $51.60.", "answer": "51.60", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| turkey | $9.35 per lb |\n| beef | $3.00 per lb |\n| duck | $7.76 per lb |\n| pork | $9.17 per lb |\n| ham | $9.57 per lb |\n| chicken | $7.85 per lb |" } ] }, { "id": "26795", "image": "26795.png", "conversations": [ { "from": "human", "question": "The players on a quiz show received the following scores. Who had the highest score?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 791.\n\nNow find the corresponding name. Arianna corresponds to 791.", "answer": "Arianna", "table": "**Quiz show scores**\n\n| Name | Score |\n| --- | --- |\n| Raymond | 717 |\n| Arianna | 791 |\n| Marvin | 778 |\n| Turner | 719 |" } ] }, { "id": "26796", "image": "26796.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $1,635, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $1,635, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $875 | 11,100 | 18,800 |\n| $1,065 | 9,200 | 19,600 |\n| $1,255 | 7,300 | 20,400 |\n| $1,445 | 5,400 | 21,200 |\n| $1,635 | 3,500 | 22,000 |" } ] }, { "id": "26797", "image": "26797.png", "conversations": [ { "from": "human", "question": "A bookstore employee looked up how many books were sold each month. In which month did the bookstore sell the most books?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 576.\n\nNow find the corresponding month. April corresponds to 576.", "answer": "April", "table": "**Number of books sold**\n\n| Month | Number of books |\n| --- | --- |\n| March | 575 |\n| April | 576 |\n| May | 567 |\n| June | 556 |" } ] }, { "id": "26799", "image": "26799.png", "conversations": [ { "from": "human", "question": "Principal Montoya reported the state test scores from some students at his school. How many students scored at least 40 points?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 4, 5, 6, 7, 8, and 9.\n\nYou counted 21 leaves, which are blue in the stem-and-leaf plot above. 21 students scored at least 40 points.", "answer": "21", "table": "**Test scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 1, 2 |\n| 5 | 1, 4, 7, 7, 7 |\n| 6 | 5, 5, 6, 8 |\n| 7 | 2, 4, 7, 8 |\n| 8 | 4, 6, 7, 9, 9 |\n| 9 | 0 |" } ] }, { "id": "26804", "image": "26804.png", "conversations": [ { "from": "human", "question": "Rodrigo's class recorded how many states each student has visited. Who has visited the fewest states?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 12.\n\nNow find the corresponding name. Dana corresponds to 12.", "answer": "Dana", "table": "**States visited**\n\n| Name | Number of states |\n| --- | --- |\n| Rodrigo | 15 |\n| Dana | 12 |\n| Percy | 16 |\n| Lila | 18 |" } ] }, { "id": "26807", "image": "26807.png", "conversations": [ { "from": "human", "question": "A researcher recorded the number of cows on each farm in the county. How many farms have exactly 64 cows?\n" }, { "from": "gpt", "solution": "For the number 64, the stem is 6, and the leaf is 4. Find the row where the stem is 6. In that row, count all the leaves equal to 4.\n\nYou counted 1 leaf, which is blue in the stem-and-leaf plot above. 1 farm has exactly 64 cows.", "answer": "1", "table": "**Cows per farm**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 3 |\n| 3 | 1, 1, 4, 4, 5, 7, 8, 8 |\n| 4 | 4, 4, 5, 8 |\n| 5 | 5, 7, 8, 9 |\n| 6 | 0, 4, 6 |\n| 7 | 0, 4 |\n| 8 | 3 |" } ] }, { "id": "26809", "image": "26809.png", "conversations": [ { "from": "human", "question": "Each office has 5 stools. How many stools are in 3 offices?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 15 stools in 3 offices.", "answer": "15", "table": "| Number of offices | Number of stools |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | ? |" } ] }, { "id": "26813", "image": "26813.png", "conversations": [ { "from": "human", "question": "At a school carnival, a curious student volunteer counted the number of times visitors to her booth spun the numbers 1 through 6. How many people spun a number less than 5?\n" }, { "from": "gpt", "solution": "Find the rows for 1, 2, 3, and 4. Add the frequencies for these rows.\n\nAdd:\n\n16 + 9 + 14 + 1 = 40\n\n40 people spun a number less than 5.", "answer": "40", "table": "**Spinning a wheel numbered 1 through 6**\n\n| Number spun | Frequency |\n| --- | --- |\n| 1 | 16 |\n| 2 | 9 |\n| 3 | 14 |\n| 4 | 1 |\n| 5 | 15 |\n| 6 | 12 |" } ] }, { "id": "26815", "image": "26815.png", "conversations": [ { "from": "human", "question": "An art instructor kept track of how many total pictures were painted by each of the people enrolled in her class. How many people are there in all?\n" }, { "from": "gpt", "solution": "Add the frequencies for each row.\n\nAdd:\n\n0 + 15 + 12 + 6 + 1 + 10 = 44\n\nThere are 44 people in all.", "answer": "44", "table": "**Painting pictures**\n\n| Pictures painted | Frequency |\n| --- | --- |\n| 0 | 0 |\n| 1 | 15 |\n| 2 | 12 |\n| 3 | 6 |\n| 4 | 1 |\n| 5 | 10 |" } ] }, { "id": "26817", "image": "26817.png", "conversations": [ { "from": "human", "question": "Bert just downloaded the new game Gem Excavator on his phone. In the first level, Bert gains points for each green gem he finds. However, he loses points for each red gem he finds. The table shows how the gems affect Bert's points. Which color gem affects Bert's points less?\n" }, { "from": "gpt", "solution": "To find the gem that affects Bert's points less, use absolute value. Absolute value tells you how much Bert's points change for each color gem.\nGreen: |25| = 25\nRed: |-40| = 40\nBert gains 25 points for each green gem he finds, and he loses 40 points for each red gem he finds. So, the green gems affect Bert's points less.", "answer": "green", "table": "| Gem color | Change in points |\n| --- | --- |\n| Green | 25 |\n| Red | -40 |" } ] }, { "id": "26821", "image": "26821.png", "conversations": [ { "from": "human", "question": "How much money does Darnel need to buy 2 books of piano music?\n" }, { "from": "gpt", "solution": "Find the total cost of 2 books of piano music by multiplying 2 times the price of a book of piano music.\n\n$9.42 × 2 = $18.84\n\nDarnel needs $18.84.", "answer": "18.84", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| map of Africa | $6.31 |\n| map of the world | $4.81 |\n| book of piano music | $9.42 |\n| book of crossword puzzles | $3.80 |\n| photo album | $5.87 |\n| cat calendar | $6.55 |" } ] }, { "id": "26836", "image": "26836.png", "conversations": [ { "from": "human", "question": "A restaurant's average food preparation time was tracked from day to day as part of an efficiency improvement program. According to the table, what was the rate of change between Monday and Tuesday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{32 minutes - 29 minutes}{1 day}\n = \\frac{3 minutes}{1 day}\n = 3 minutes per day\nThe rate of change between Monday and Tuesday was 3 minutes per day.", "answer": "3", "table": "**Average food preparation time**\n\n| Day | Food preparation time (minutes) |\n| --- | --- |\n| Sunday | 29 |\n| Monday | 29 |\n| Tuesday | 32 |\n| Wednesday | 28 |\n| Thursday | 32 |" } ] }, { "id": "26837", "image": "26837.png", "conversations": [ { "from": "human", "question": "A front desk clerk looked up how many guests the hotel had each day. On which day did the hotel have the most guests?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 696.\n\nNow find the corresponding day. Wednesday corresponds to 696.", "answer": "Wednesday", "table": "**Hotel guests**\n\n| Day | Number of guests |\n| --- | --- |\n| Monday | 661 |\n| Tuesday | 619 |\n| Wednesday | 696 |\n| Thursday | 691 |" } ] }, { "id": "26838", "image": "26838.png", "conversations": [ { "from": "human", "question": "How much money does Lena need to buy a peppermint candy and a gummy bear?\n" }, { "from": "gpt", "solution": "Add the price of a peppermint candy and the price of a gummy bear:\n\n$0.06 + $0.08 = $0.14\n\nLena needs $0.14.", "answer": "0.14", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| sour apple candy | $0.04 |\n| gummy bear | $0.08 |\n| piece of licorice | $0.08 |\n| cinnamon candy | $0.01 |\n| gum drop | $0.01 |\n| peppermint candy | $0.06 |" } ] }, { "id": "26841", "image": "26841.png", "conversations": [ { "from": "human", "question": "A technical support line tracked how many calls it received each day. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n54, 51, 54, 58, 68\n\nFirst, find the greatest number. The greatest number is 68.\n\nNext, find the least number. The least number is 51.\n\nSubtract the least number from the greatest number:\n\n68 − 51 = 17\n\nThe range is 17.", "answer": "17", "table": "**Phone calls received**\n\n| Day | Number of calls |\n| --- | --- |\n| Saturday | 54 |\n| Sunday | 51 |\n| Monday | 54 |\n| Tuesday | 58 |\n| Wednesday | 68 |" } ] }, { "id": "26848", "image": "26848.png", "conversations": [ { "from": "human", "question": "How much money does Hassan need to buy 7 frying pans and a set of dishes?\n" }, { "from": "gpt", "solution": "Find the cost of 7 frying pans.\n\n$39.61 × 7 = $277.27\n\nNow find the total cost.\n\n$277.27 + $95.48 = $372.75\n\nHassan needs $372.75.", "answer": "372.75", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| set of dishes | $95.48 |\n| frying pan | $39.61 |\n| soup pot | $72.81 |\n| cookie jar | $13.91 |\n| set of spoons | $14.19 |" } ] }, { "id": "26851", "image": "26851.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does the bird show end?\n" }, { "from": "gpt", "solution": "Find the bird show on the schedule. Find the end time for the bird show.\n\nbird show: 3:45 P. M.", "answer": "3:45 P.M.", "table": "**Zoo schedule**\n\n| Event | Begin | End |\n| --- | --- | --- |\n| tiger lecture | 9:35 A.M. | 10:35 A.M. |\n| bear lecture | 11:00 A.M. | 11:40 A.M. |\n| koala feeding | 11:30 A.M. | 12:25 P.M. |\n| zebra feeding | 1:15 P.M. | 2:05 P.M. |\n| bird show | 2:30 P.M. | 3:45 P.M. |\n| penguin feeding | 4:25 P.M. | 5:20 P.M. |" } ] }, { "id": "26857", "image": "26857.png", "conversations": [ { "from": "human", "question": "Alvin kept track of how many laps he swam during the past 5 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n5, 10, 6, 8, 10\n\nFirst, arrange the numbers from least to greatest:\n\n5, 6, 8, 10, 10\n\nNow find the number in the middle.\n\n5, 6, 8, 10, 10\n\nThe number in the middle is 8.\n\nThe median is 8.", "answer": "8", "table": "**Laps swum**\n\n| Day | Number of laps |\n| --- | --- |\n| Thursday | 5 |\n| Friday | 10 |\n| Saturday | 6 |\n| Sunday | 8 |\n| Monday | 10 |" } ] }, { "id": "26859", "image": "26859.png", "conversations": [ { "from": "human", "question": "For Earth Day, Lowell High's environmental club tracked the number of seeds planted by its members. How many members planted exactly 3 seeds?\n" }, { "from": "gpt", "solution": "Find the row for 3 seeds and read the frequency. The frequency is 5.\n\n5 members planted exactly 3 seeds.", "answer": "5", "table": "**Planting seeds in the garden**\n\n| Seeds planted | Frequency |\n| --- | --- |\n| 0 | 6 |\n| 1 | 16 |\n| 2 | 10 |\n| 3 | 5 |\n| 4 | 12 |" } ] }, { "id": "26860", "image": "26860.png", "conversations": [ { "from": "human", "question": "Dr. Molina, a pediatrician, weighed all the children who recently visited her office. How many children weighed at least 20 pounds but less than 30 pounds?\n" }, { "from": "gpt", "solution": "Count all the leaves in the row with stem 2.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 children weighed at least 20 pounds but less than 30 pounds.", "answer": "4", "table": "**Children's weights (lbs)**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 1, 2, 3, 9 |\n| 3 | 1, 3, 4, 4, 4, 5, 6, 9 |\n| 4 | 6, 7 |\n| 5 | 8 |\n| 6 | 5, 7 |\n| 7 | 0, 2, 5, 5, 6, 8 |" } ] }, { "id": "26864", "image": "26864.png", "conversations": [ { "from": "human", "question": "David kept a log of how many pages he read each month. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n57, 57, 54, 50, 59, 50, 59, 59\n\nFirst, arrange the numbers from least to greatest:\n\n50, 50, 54, 57, 57, 59, 59, 59\n\nNow count how many times each number appears.\n\n50 appears 2 times.\n54 appears 1 time.\n57 appears 2 times.\n59 appears 3 times.\n\nThe number that appears most often is 59.\n\nThe mode is 59.", "answer": "59", "table": "**Pages read**\n\n| Month | Number of pages |\n| --- | --- |\n| November | 57 |\n| December | 57 |\n| January | 54 |\n| February | 50 |\n| March | 59 |\n| April | 50 |\n| May | 59 |\n| June | 59 |" } ] }, { "id": "26866", "image": "26866.png", "conversations": [ { "from": "human", "question": "The members of the local garden club tallied the number of plants in each person's garden. What is the smallest number of plants?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 1.\n\nNow find the lowest leaf in the first row. The lowest leaf is 3.\n\nThe smallest number of plants has a stem of 1 and a leaf of 3. Write the stem first, then the leaf: 13.\n\nThe smallest number of plants is 13 plants.", "answer": "13", "table": "**Plants per garden**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 3, 9 |\n| 2 | 0, 8 |\n| 3 | 0, 1, 3, 4, 4, 5, 5, 6, 6, 8 |\n| 4 | 0, 9 |\n| 5 | 0, 4, 5, 9 |" } ] }, { "id": "26868", "image": "26868.png", "conversations": [ { "from": "human", "question": "A birthday party caterer counted the number of juice cups on the table. The cups contained different flavored juices and different shaped straws. What is the probability that a randomly selected cup contains grape juice and contains a heart-shaped straw? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the cup contains grape juice\" and B be the event \"the cup contains a heart-shaped straw\".\nTo find the probability that a cup contains grape juice and contains a heart-shaped straw, first identify the sample space and the event.\nThe outcomes in the sample space are the different cups. Each cup is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the cup contains grape juice and contains a heart-shaped straw\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the cup contains grape juice and contains a heart-shaped straw\", so look at the table to see how many cups contain grape juice and contain a heart-shaped straw.\nThe number of cups that contain grape juice and contain a heart-shaped straw is 3.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of cups.\n2 + 3 + 3 + 5 = 13\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{3}{13}\nThe probability that a cup contains grape juice and contains a heart-shaped straw is \\frac{3}{13}.", "answer": "3/13", "table": "| | Heart-shaped straw | Star-shaped straw |\n| --- | --- | --- |\n| Orange juice | 2 | 3 |\n| Grape juice | 3 | 5 |" } ] }, { "id": "26871", "image": "26871.png", "conversations": [ { "from": "human", "question": "How much money does Molly need to buy a photograph signed by a famous movie star and a photograph signed by a famous singer?\n" }, { "from": "gpt", "solution": "Add the price of a photograph signed by a famous movie star and the price of a photograph signed by a famous singer:\n\n$65.00 + $47.00 = $112.00\n\nMolly needs $112.00.", "answer": "112", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| photograph signed by a famous singer | $47.00 |\n| CD signed by a famous band | $64.00 |\n| photograph signed by a famous movie star | $65.00 |\n| bat signed by a famous baseball player | $88.00 |" } ] }, { "id": "26873", "image": "26873.png", "conversations": [ { "from": "human", "question": "Destiny wrote down how many spelling words she practiced each day. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n5, 9, 6, 5, 9, 5, 6\n\nFirst, arrange the numbers from least to greatest:\n\n5, 5, 5, 6, 6, 9, 9\n\nNow count how many times each number appears.\n\n5 appears 3 times.\n6 appears 2 times.\n9 appears 2 times.\n\nThe number that appears most often is 5.\n\nThe mode is 5.", "answer": "5", "table": "**Spelling words practiced**\n\n| Day | Number of spelling words |\n| --- | --- |\n| Friday | 5 |\n| Saturday | 9 |\n| Sunday | 6 |\n| Monday | 5 |\n| Tuesday | 9 |\n| Wednesday | 5 |\n| Thursday | 6 |" } ] }, { "id": "26883", "image": "26883.png", "conversations": [ { "from": "human", "question": "The members of the track team compared how many miles they ran last week. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n2, 8, 6, 9, 4, 10\n\nFirst, find the greatest number. The greatest number is 10.\n\nNext, find the least number. The least number is 2.\n\nSubtract the least number from the greatest number:\n\n10 − 2 = 8\n\nThe range is 8.", "answer": "8", "table": "**Running miles**\n\n| Name | Miles |\n| --- | --- |\n| Henry | 2 |\n| Eric | 8 |\n| Duncan | 6 |\n| Sandeep | 9 |\n| Turner | 4 |\n| Xavier | 10 |" } ] }, { "id": "26885", "image": "26885.png", "conversations": [ { "from": "human", "question": "The shop teacher, Mr. McCarthy, wrote down how many picture frames the students made last week. How many students made exactly 3 picture frames?\n" }, { "from": "gpt", "solution": "Find the row for 3 picture frames and read the frequency. The frequency is 10.\n\n10 students made exactly 3 picture frames.", "answer": "10", "table": "**Making picture frames**\n\n| Picture frames made | Frequency |\n| --- | --- |\n| 0 | 9 |\n| 1 | 17 |\n| 2 | 13 |\n| 3 | 10 |\n| 4 | 15 |" } ] }, { "id": "26886", "image": "26886.png", "conversations": [ { "from": "human", "question": "A bus driver paid attention to how many passengers his bus had each day. On which day did the bus have the fewest passengers?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 557.\n\nNow find the corresponding day. Friday corresponds to 557.", "answer": "Friday", "table": "**People on the bus**\n\n| Day | Number of people |\n| --- | --- |\n| Wednesday | 597 |\n| Thursday | 595 |\n| Friday | 557 |\n| Saturday | 579 |" } ] }, { "id": "26889", "image": "26889.png", "conversations": [ { "from": "human", "question": "Lila sold boxes of cookies to raise money for her scout troop. She used a frequency chart to track her sales. Lila sold 1/3 as many boxes of lemon cookies as peanut butter cookies. How many boxes of lemon cookies did she sell?\n" }, { "from": "gpt", "solution": "The frequencies tell you how many boxes of each cookie type Lila sold. Start by finding how many boxes of peanut butter cookies she sold.\nas many boxes of lemon cookies. So, divide 9 by 3.\n9 ÷ 3 = 3\nLila sold 3 boxes of lemon cookies.", "answer": "3", "table": "**Boxes of cookies sold**\n\n| Type | Frequency |\n| --- | --- |\n| coconut caramel | 5 |\n| lemon | ? |\n| mint chocolate | 11 |\n| marshmallow | 2 |\n| peanut butter | 9 |" } ] }, { "id": "26899", "image": "26899.png", "conversations": [ { "from": "human", "question": "Charlotte, a candy store employee, placed peppermint candies into jars of various sizes. How many jars had exactly 64 peppermint candies?\n" }, { "from": "gpt", "solution": "For the number 64, the stem is 6, and the leaf is 4. Find the row where the stem is 6. In that row, count all the leaves equal to 4.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 jars had exactly 64 peppermint candies.", "answer": "3", "table": "**Peppermint candies per jar**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 0, 1 |\n| 3 | 8, 9, 9 |\n| 4 | 0, 1 |\n| 5 | 2 |\n| 6 | 4, 4, 4, 5, 6, 6 |\n| 7 | 0, 9 |\n| 8 | 1 |\n| 9 | 0 |" } ] }, { "id": "26900", "image": "26900.png", "conversations": [ { "from": "human", "question": "How much money does Eduardo need to buy 3 quilts and 8 navy blue bath mats?\n" }, { "from": "gpt", "solution": "Find the cost of 3 quilts.\n\n$12.70 × 3 = $38.10\n\nFind the cost of 8 navy blue bath mats.\n\n$18.20 × 8 = $145.60\n\nNow find the total cost.\n\n$38.10 + $145.60 = $183.70\n\nEduardo needs $183.70.", "answer": "183.70", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| fleece blanket | $10.42 |\n| quilt | $12.70 |\n| yellow bath towel | $12.49 |\n| flannel sheet | $17.13 |\n| navy blue bath mat | $18.20 |" } ] }, { "id": "26903", "image": "26903.png", "conversations": [ { "from": "human", "question": "Each field has 2 goats. How many goats are in 5 fields?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 10 goats in 5 fields.", "answer": "10", "table": "| Number of fields | Number of goats |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | 6 |\n| 4 | 8 |\n| 5 | ? |" } ] }, { "id": "26904", "image": "26904.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{15 - 18}{1 - 0}\n = \\frac{-3}{1}\n = -3\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{8 - 15}{2 - 1}\n = \\frac{-7}{1}\n = -7\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 0 | 18 |\n| 1 | 15 |\n| 2 | 8 |" } ] }, { "id": "26909", "image": "26909.png", "conversations": [ { "from": "human", "question": "Each truck has 5 wheelbarrows. How many wheelbarrows are in 6 trucks?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 30 wheelbarrows in 6 trucks.", "answer": "30", "table": "| Number of trucks | Number of wheelbarrows |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | 20 |\n| 5 | 25 |\n| 6 | ? |" } ] }, { "id": "26917", "image": "26917.png", "conversations": [ { "from": "human", "question": "Stanley is keeping track of the animals on his farm. The frequency chart shows the animals currently on his farm. Stanley will sell one-third of his pigs and all of his horses. How many animals will Stanley sell?\n" }, { "from": "gpt", "solution": "Step 1: Find how many pigs Stanley will sell.\nStanley has a total of 21 pigs. He will sell one-third of them. Divide 21 by 3.\n21÷3 = 7\nStanley will sell 7 pigs.\nStep 2: Find how many animals Stanley will sell in all.\nStanley has 4 horses and will sell all of them. So, add 7 pigs and 4 horses.\n7 + 4 = 11\nStanley will sell 11 animals.", "answer": "11", "table": "**Animals on Stanley's farm**\n\n| Type | Frequency |\n| --- | --- |\n| cow | 38 |\n| pig | 21 |\n| horse | 4 |\n| chicken | 12 |" } ] }, { "id": "26919", "image": "26919.png", "conversations": [ { "from": "human", "question": "A concession stand worker at the movie theater looked up how many bags of popcorn were sold in the past 4 days. On which day did the movie theater sell the fewest bags of popcorn?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 441.\n\nNow find the corresponding day. Saturday corresponds to 441.", "answer": "Saturday", "table": "**Bags of popcorn sold**\n\n| Day | Number of bags of popcorn |\n| --- | --- |\n| Wednesday | 498 |\n| Thursday | 489 |\n| Friday | 484 |\n| Saturday | 441 |" } ] }, { "id": "26923", "image": "26923.png", "conversations": [ { "from": "human", "question": "The Dover Middle School fundraising committee found out how many sweatshirts students already had, in order to decide whether to sell sweatshirts for a fundraiser. How many students have fewer than 3 sweatshirts?\n" }, { "from": "gpt", "solution": "Find the rows for 0, 1, and 2 sweatshirts. Add the frequencies for these rows.\n\nAdd:\n\n11 + 14 + 10 = 35\n\n35 students have fewer than 3 sweatshirts.", "answer": "35", "table": "**Sweatshirts**\n\n| Number of sweatshirts | Frequency |\n| --- | --- |\n| 0 | 11 |\n| 1 | 14 |\n| 2 | 10 |\n| 3 | 2 |\n| 4 | 9 |\n| 5 | 4 |\n| 6 | 20 |" } ] }, { "id": "26927", "image": "26927.png", "conversations": [ { "from": "human", "question": "Stefan kept track of how many boxes of cookies he sold over the past 7 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n3, 2, 3, 2, 3, 6, 4\n\nFirst, arrange the numbers from least to greatest:\n\n2, 2, 3, 3, 3, 4, 6\n\nNow find the number in the middle.\n\n2, 2, 3, 3, 3, 4, 6\n\nThe number in the middle is 3.\n\nThe median is 3.", "answer": "3", "table": "**Boxes of cookies sold**\n\n| Day | Number of boxes |\n| --- | --- |\n| Monday | 3 |\n| Tuesday | 2 |\n| Wednesday | 3 |\n| Thursday | 2 |\n| Friday | 3 |\n| Saturday | 6 |\n| Sunday | 4 |" } ] }, { "id": "26929", "image": "26929.png", "conversations": [ { "from": "human", "question": "Derek buys 1/2 of a pound of size 2 screws. How much does he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the size 2 screws. Multiply the price per pound by the number of pounds.\n$9 × \\frac{1}{2} = $9 × 0.5 = $4.50\nHe spends $4.50.", "answer": "4.50", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| size 2 screws | $9 per pound |\n| size 5 screws | $7 per pound |\n| size 4 screws | $6 per pound |\n| size 1 screws | $7 per pound |\n| size 3 screws | $9 per pound |" } ] }, { "id": "26944", "image": "26944.png", "conversations": [ { "from": "human", "question": "Tom has $24. Does he have enough to buy a beach towel and a pillow?\n" }, { "from": "gpt", "solution": "Add the price of a beach towel and the price of a pillow:\n\n$11 + $12 = $23\n\n$23 is less than $24. Tom does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| beach towel | $11 |\n| pillow | $12 |\n| fleece blanket | $16 |\n| yellow bath towel | $13 |" } ] }, { "id": "26948", "image": "26948.png", "conversations": [ { "from": "human", "question": "Look at this table. Is this relation a function?\n" }, { "from": "gpt", "solution": "Look at the x-values in the table.\n\nEach of the x-values is paired with only one y-value, so the relation is a function.", "answer": "yes", "table": "| x | y |\n| --- | --- |\n| 18 | 18 |\n| 6 | 20 |\n| 20 | 7 |" } ] }, { "id": "26960", "image": "26960.png", "conversations": [ { "from": "human", "question": "How much money does Noah need to buy 9 pecan pies?\n" }, { "from": "gpt", "solution": "Find the total cost of 9 pecan pies by multiplying 9 times the price of a pecan pie.\n\n$11.00 × 9 = $99.00\n\nNoah needs $99.00.", "answer": "99", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pecan pie | $11.00 |\n| apple pie | $14.00 |\n| chocolate cake | $22.00 |\n| chocolate cheesecake | $19.00 |\n| banana cream pie | $11.00 |\n| apple tart | $14.00 |" } ] }, { "id": "26971", "image": "26971.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{8 - 16}{11 - 10}\n = \\frac{-8}{1}\n = -8\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{0 - 8}{12 - 11}\n = \\frac{-8}{1}\n = -8\nThe two rates of change are the same.\n8.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 10 | 16 |\n| 11 | 8 |\n| 12 | 0 |" } ] }, { "id": "26978", "image": "26978.png", "conversations": [ { "from": "human", "question": "The students in Mr. Rivera's class recorded the number of siblings that each has. How many students have more than 2 siblings?\n" }, { "from": "gpt", "solution": "Find the rows for 3 and 4 siblings. Add the frequencies for these rows.\n\nAdd:\n\n18 + 20 = 38\n\n38 students have more than 2 siblings.", "answer": "38", "table": "**Siblings**\n\n| Number of siblings | Frequency |\n| --- | --- |\n| 0 | 5 |\n| 1 | 13 |\n| 2 | 2 |\n| 3 | 18 |\n| 4 | 20 |" } ] }, { "id": "26987", "image": "26987.png", "conversations": [ { "from": "human", "question": "How much money does Danielle need to buy 8 river rafts and 2 sets of golf clubs?\n" }, { "from": "gpt", "solution": "Find the cost of 8 river rafts.\n\n$766 × 8 = $6,128\n\nFind the cost of 2 sets of golf clubs.\n\n$789 × 2 = $1,578\n\nNow find the total cost.\n\n$6,128 + $1,578 = $7,706\n\nDanielle needs $7,706.", "answer": "7,706", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| river raft | $766 |\n| wetsuit | $422 |\n| set of golf clubs | $789 |\n| snowboard | $774 |\n| surfboard | $292 |" } ] }, { "id": "26990", "image": "26990.png", "conversations": [ { "from": "human", "question": "Ed graphed the amount of snow that fell in the last 6 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 1, 4, 9, 6, 4\n\nFirst, find the greatest number. The greatest number is 9.\n\nNext, find the least number. The least number is 1.\n\nSubtract the least number from the greatest number:\n\n9 − 1 = 8\n\nThe range is 8.", "answer": "8", "table": "**Daily snowfall**\n\n| Day | Snowfall (inches) |\n| --- | --- |\n| Tuesday | 7 |\n| Wednesday | 1 |\n| Thursday | 4 |\n| Friday | 9 |\n| Saturday | 6 |\n| Sunday | 4 |" } ] }, { "id": "26995", "image": "26995.png", "conversations": [ { "from": "human", "question": "An editor of the school yearbook asked some fourth and fifth graders what their favorite subjects were. How many students voted for science?\n" }, { "from": "gpt", "solution": "Find the row for science. Add the numbers in the Science row.\n\nAdd:\n\n2 + 16 = 18\n\n18 students voted for science.", "answer": "18", "table": "**Favorite subjects**\n\n| Subject | Fourth graders | Fifth graders |\n| --- | --- | --- |\n| Writing | 9 | 3 |\n| Music | 14 | 8 |\n| Reading | 8 | 17 |\n| Geography | 20 | 19 |\n| Science | 2 | 16 |" } ] }, { "id": "26998", "image": "26998.png", "conversations": [ { "from": "human", "question": "How much money does Heather need to buy 2 soccer tickets and 7 hockey tickets?\n" }, { "from": "gpt", "solution": "Find the cost of 2 soccer tickets.\n\n$38.00 × 2 = $76.00\n\nFind the cost of 7 hockey tickets.\n\n$19.00 × 7 = $133.00\n\nNow find the total cost.\n\n$76.00 + $133.00 = $209.00\n\nHeather needs $209.00.", "answer": "209", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| baseball ticket | $15.00 |\n| football ticket | $32.00 |\n| hockey ticket | $19.00 |\n| play ticket | $24.00 |\n| soccer ticket | $38.00 |" } ] }, { "id": "27005", "image": "27005.png", "conversations": [ { "from": "human", "question": "Melissa kept a tally of the number of emails she received each day for a week. According to the table, what was the rate of change between Thursday and Friday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{2 emails - 9 emails}{1 day}\n = \\frac{-7 emails}{1 day}\n = -7 emails per day\nThe rate of change between Thursday and Friday was - 7 emails per day.", "answer": "-7", "table": "**Emails Melissa received**\n\n| Day | Emails |\n| --- | --- |\n| Monday | 4 |\n| Tuesday | 2 |\n| Wednesday | 3 |\n| Thursday | 9 |\n| Friday | 2 |" } ] }, { "id": "27006", "image": "27006.png", "conversations": [ { "from": "human", "question": "Each coat rack has 5 scarves. How many scarves are on 4 coat racks?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 20 scarves on 4 coat racks.", "answer": "20", "table": "| Number of coat racks | Number of scarves |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | ? |" } ] }, { "id": "27010", "image": "27010.png", "conversations": [ { "from": "human", "question": "How much money does Gordon need to buy 3 glass bowls?\n" }, { "from": "gpt", "solution": "Find the total cost of 3 glass bowls by multiplying 3 times the price of a glass bowl.\n\n$12.00 × 3 = $36.00\n\nGordon needs $36.00.", "answer": "36", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| casserole dish | $16.00 |\n| glass bowl | $12.00 |\n| rolling pin | $14.00 |\n| cookbook | $19.00 |" } ] }, { "id": "27013", "image": "27013.png", "conversations": [ { "from": "human", "question": "Michelle counted the number of ducks at each pond in the city. What is the largest number of ducks?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 9.\n\nNow find the highest leaf in the last row. The highest leaf is 0.\n\nThe largest number of ducks has a stem of 9 and a leaf of 0. Write the stem first, then the leaf: 90.\n\nThe largest number of ducks is 90 ducks.", "answer": "90", "table": "**Ducks per pond**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 6 |\n| 2 | 8 |\n| 3 | 6 |\n| 4 | |\n| 5 | 1, 3 |\n| 6 | |\n| 7 | |\n| 8 | 8 |\n| 9 | 0 |" } ] }, { "id": "27014", "image": "27014.png", "conversations": [ { "from": "human", "question": "How much money does Ashley need to buy a popcorn cart and a hot dog stand?\n" }, { "from": "gpt", "solution": "Add the price of a popcorn cart and the price of a hot dog stand:\n\n$9,084 + $8,419 = $17,503\n\nAshley needs $17,503.", "answer": "17,503", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| funnel cake stand | $5,782 |\n| hot dog stand | $8,419 |\n| shaved ice cart | $6,407 |\n| popsicle stand | $5,755 |\n| popcorn cart | $9,084 |" } ] }, { "id": "27024", "image": "27024.png", "conversations": [ { "from": "human", "question": "How much money does Sasha need to buy a sheet of bright yellow paper and a piece of elegant stationery?\n" }, { "from": "gpt", "solution": "Add the price of a sheet of bright yellow paper and the price of a piece of elegant stationery:\n\n$0.74 + $0.33 = $1.07\n\nSasha needs $1.07.", "answer": "1.07", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| piece of floral stationery | $0.29 |\n| piece of striped paper | $0.44 |\n| white note card | $0.10 |\n| orange envelope | $0.92 |\n| sheet of bright yellow paper | $0.74 |\n| piece of elegant stationery | $0.33 |" } ] }, { "id": "27028", "image": "27028.png", "conversations": [ { "from": "human", "question": "Isabella went to the store. She bought 1 pound of split washers. How much did she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the split washers. Multiply the price per pound by the number of pounds.\n\n$2 × 1 = $2\n\nShe spent $2.", "answer": "2", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| screws | $5 per pound |\n| nuts | $1 per pound |\n| bolts | $1 per pound |\n| split washers | $2 per pound |" } ] }, { "id": "27040", "image": "27040.png", "conversations": [ { "from": "human", "question": "The city recorded how many fire hydrants there are on each street. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 9, 10, 6, 7, 7, 7\n\nFirst, find the greatest number. The greatest number is 10.\n\nNext, find the least number. The least number is 6.\n\nSubtract the least number from the greatest number:\n\n10 − 6 = 4\n\nThe range is 4.", "answer": "4", "table": "**Fire hydrants**\n\n| Street | Number of hydrants |\n| --- | --- |\n| Fir Street | 9 |\n| Aspen Street | 9 |\n| Maple Street | 10 |\n| Oak Street | 6 |\n| Cherry Street | 7 |\n| Lemon Street | 7 |\n| Rose Street | 7 |" } ] }, { "id": "27046", "image": "27046.png", "conversations": [ { "from": "human", "question": "How much money does Jen need to buy a soccer ticket and a football ticket?\n" }, { "from": "gpt", "solution": "Add the price of a soccer ticket and the price of a football ticket:\n\n$45.03 + $86.19 = $131.22\n\nJen needs $131.22.", "answer": "131.22", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| football ticket | $86.19 |\n| hockey ticket | $91.66 |\n| tennis ticket | $34.70 |\n| soccer ticket | $45.03 |" } ] }, { "id": "27047", "image": "27047.png", "conversations": [ { "from": "human", "question": "Ron found out the sizes of all the clubs at his school. What is the size of the smallest club?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 2.\n\nNow find the lowest leaf in the first row. The lowest leaf is 2.\n\nThe size of the smallest club has a stem of 2 and a leaf of 2. Write the stem first, then the leaf: 22.\n\nThe size of the smallest club is 22 members.", "answer": "22", "table": "**Club sizes (number of members)**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 2, 4 |\n| 3 | 9 |\n| 4 | 0, 2, 3, 4, 4, 5 |\n| 5 | 0, 4, 7, 7 |\n| 6 | 0 |\n| 7 | 0, 7 |\n| 8 | 1, 4 |\n| 9 | 0 |" } ] }, { "id": "27059", "image": "27059.png", "conversations": [ { "from": "human", "question": "Helen went to the store. She bought 2 kilograms of sawdust, 1 kilogram of dirt, and 3 kilograms of bark. How much did she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the sawdust. Multiply:\n\n$1.37 × 2 = $2.74\n\nFind the cost of the dirt. Multiply:\n\n$2.21 × 1 = $2.21\n\nFind the cost of the bark. Multiply:\n\n$1.37 × 3 = $4.11\n\nNow find the total cost by adding:\n\n$2.74 + $2.21 + $4.11 = $9.06\n\nShe spent $9.06.", "answer": "9.06", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| mulch | $1.10 per kilogram |\n| sawdust | $1.37 per kilogram |\n| dirt | $2.21 per kilogram |\n| sand | $2.30 per kilogram |\n| bark | $1.37 per kilogram |" } ] }, { "id": "27062", "image": "27062.png", "conversations": [ { "from": "human", "question": "While looking through an almanac at the library, Tucker noticed some data showing the population density of various states. How many people per square mile lived in South Dakota in 2000?\n" }, { "from": "gpt", "solution": "First, find the row for South Dakota. Then find the number in the 2000 column.\n\nThis number is 10. In 2000, South Dakota had 10 people per square mile.", "answer": "10", "table": "**Population per square mile**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| State | 1990 | 2000 |\n| South Dakota | 9 | 10 |\n| North Dakota | 9 | 9 |\n| Nevada | 10 | 18 |\n| Wyoming | 4 | 5 |\n| Montana | 5 | 6 |" } ] }, { "id": "27066", "image": "27066.png", "conversations": [ { "from": "human", "question": "The owner of an orchard kept records about how many apples were picked in the past 3 days. How many apples in total were picked on Friday and Saturday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nFriday: 2,474\nSaturday: 2,525\n\nNow add: 2,474 + 2,525 = 4,999.\n\n4,999 apples were picked on Friday and Saturday.", "answer": "4,999", "table": "**Apples picked**\n\n| Day | Number of apples |\n| --- | --- |\n| Thursday | 6,340 |\n| Friday | 2,474 |\n| Saturday | 2,525 |" } ] }, { "id": "27067", "image": "27067.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which activity ends at 7.15 A.M.?\n" }, { "from": "gpt", "solution": "Find 7:15 A. M. on the schedule. Horseback riding class ends at 7:15 A. M.", "answer": "horseback riding class", "table": "**Camp schedule**\n\n| Activity | Begin | End |\n| --- | --- | --- |\n| horseback riding class | 6:00 A.M. | 7:15 A.M. |\n| swimming class | 7:25 A.M. | 9:05 A.M. |\n| music class | 9:10 A.M. | 10:40 A.M. |\n| quiet time | 10:45 A.M. | 12:10 P.M. |\n| scavenger hunt | 12:15 P.M. | 1:10 P.M. |\n| hiking trip | 1:15 P.M. | 2:35 P.M. |\n| rowing class | 2:45 P.M. | 3:40 P.M. |\n| talent show | 3:50 P.M. | 5:10 P.M. |" } ] }, { "id": "27068", "image": "27068.png", "conversations": [ { "from": "human", "question": "Anna buys 0.6 pounds of puffed rice. How much does she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the puffed rice. Multiply the price per pound by the number of pounds.\n$2 × 0.6 = $1.20\nShe spends $1.20.", "answer": "1.20", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| muesli | $3 per pound |\n| puffed rice | $2 per pound |\n| shredded wheat | $6 per pound |\n| granola | $5 per pound |\n| puffed wheat | $2 per pound |\n| bran flakes | $2 per pound |" } ] }, { "id": "27071", "image": "27071.png", "conversations": [ { "from": "human", "question": "Harper just got back from a trip to the aquarium. While she was there, she used a frequency chart to keep track of the animals she saw. Harper saw 3 times as many stingrays as sharks. How many stingrays did Harper see?\n" }, { "from": "gpt", "solution": "The frequencies tell you how many of each animal Harper saw. Start by finding how many sharks she saw.\nHarper saw 5 sharks, and she saw 3 times as many stingrays. Multiply 5 by 3.\n5 × 3 = 15\nHarper saw 15 stingrays.", "answer": "15", "table": "**Aquarium animals**\n\n| Animal | Frequency |\n| --- | --- |\n| octopus | 4 |\n| penguin | 12 |\n| seal | 9 |\n| shark | 5 |\n| stingray | ? |\n| whale | 1 |" } ] }, { "id": "27073", "image": "27073.png", "conversations": [ { "from": "human", "question": "Zack's class recorded how many states each student has visited. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n3, 5, 9, 5, 9, 3, 9\n\nFirst, arrange the numbers from least to greatest:\n\n3, 3, 5, 5, 9, 9, 9\n\nNow count how many times each number appears.\n\n3 appears 2 times.\n5 appears 2 times.\n9 appears 3 times.\n\nThe number that appears most often is 9.\n\nThe mode is 9.", "answer": "9", "table": "**States visited**\n\n| Name | Number of states |\n| --- | --- |\n| Zack | 3 |\n| Naomi | 5 |\n| Wyatt | 9 |\n| Kendra | 5 |\n| Alvin | 9 |\n| Rudy | 3 |\n| Ellie | 9 |" } ] }, { "id": "27078", "image": "27078.png", "conversations": [ { "from": "human", "question": "Kensington Flooring tracked the number of broken tiles in each shipment it received last year. How many shipments had exactly 41 broken tiles?\n" }, { "from": "gpt", "solution": "For the number 41, the stem is 4, and the leaf is 1. Find the row where the stem is 4. In that row, count all the leaves equal to 1.\n\nYou counted 1 leaf, which is blue in the stem-and-leaf plot above. 1 shipment had exactly 41 broken tiles.", "answer": "1", "table": "**Broken tiles per shipment**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 0, 2, 6, 6, 6 |\n| 3 | 1, 4, 5, 7, 8, 9 |\n| 4 | 1, 6, 9 |\n| 5 | 0, 1, 2, 2, 6, 8 |" } ] }, { "id": "27079", "image": "27079.png", "conversations": [ { "from": "human", "question": "A crayon factory monitored the number of broken crayons per box during the past day. How many boxes had at least 30 broken crayons?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 3, 4, 5, 6, 7, 8, and 9.\n\nYou counted 17 leaves, which are blue in the stem-and-leaf plot above. 17 boxes had at least 30 broken crayons.", "answer": "17", "table": "**Broken crayons per box**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 3, 4, 5, 5, 8 |\n| 3 | 1, 5, 5, 6 |\n| 4 | 1, 5, 6 |\n| 5 | 6 |\n| 6 | 0, 1, 3, 8 |\n| 7 | 5, 6, 7 |\n| 8 | 8 |\n| 9 | 0 |" } ] }, { "id": "27080", "image": "27080.png", "conversations": [ { "from": "human", "question": "How much money does Trent need to buy a blue plastic block and a shapes stencil?\n" }, { "from": "gpt", "solution": "Add the price of a blue plastic block and the price of a shapes stencil:\n\n$0.02 + $0.07 = $0.09\n\nTrent needs $0.09.", "answer": "0.09", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| green marble | $0.06 |\n| wooden block | $0.02 |\n| red kazoo | $0.01 |\n| colorful pinwheel | $0.03 |\n| shapes stencil | $0.07 |\n| blue plastic block | $0.02 |" } ] }, { "id": "27081", "image": "27081.png", "conversations": [ { "from": "human", "question": "Each shelf has 2 cups. How many cups are on 4 shelves?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 8 cups on 4 shelves.", "answer": "8", "table": "| Number of shelves | Number of cups |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | 6 |\n| 4 | ? |" } ] }, { "id": "27084", "image": "27084.png", "conversations": [ { "from": "human", "question": "Each table has 5 chairs. How many chairs are at 5 tables?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 25 chairs at 5 tables.", "answer": "25", "table": "| Number of tables | Number of chairs |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | 20 |\n| 5 | ? |" } ] }, { "id": "27087", "image": "27087.png", "conversations": [ { "from": "human", "question": "Lexi, a candy store employee, placed peppermint candies into jars of various sizes. How many jars had exactly 58 peppermint candies?\n" }, { "from": "gpt", "solution": "For the number 58, the stem is 5, and the leaf is 8. Find the row where the stem is 5. In that row, count all the leaves equal to 8.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 jars had exactly 58 peppermint candies.", "answer": "3", "table": "**Peppermint candies per jar**\n\n| Stem | Leaf |\n| --- | --- |\n| 5 | 2, 3, 3, 3, 4, 7, 8, 8, 8 |\n| 6 | 1, 7, 8 |\n| 7 | 1, 2, 3, 5, 5, 6, 9, 9 |\n| 8 | 0, 3, 4, 8, 8 |" } ] }, { "id": "27096", "image": "27096.png", "conversations": [ { "from": "human", "question": "For an economics project, Mitch determined the cost of ferry rides for bicycles and cars. How much does it cost to take a bicycle on the Southport-Fort Fisher ferry?\n" }, { "from": "gpt", "solution": "First, find the row for Southport-Fort Fisher. Then find the number in the Bicycle column.\n\nThis number is $2.00. It costs $2 to take a bicycle on the Southport-Fort Fisher ferry.", "answer": "2", "table": "**Ferry fares**\n\n| Ferry | Car | Bicycle |\n| --- | --- | --- |\n| Fauntleroy-Vashon | $15 | $5 |\n| Seattle-Bremerton | $12 | $8 |\n| Mukilteu-Clinton | $7 | $5 |\n| Southport-Fort Fisher | $5 | $2 |\n| Ocracoke | $15 | $3 |" } ] }, { "id": "27110", "image": "27110.png", "conversations": [ { "from": "human", "question": "Each shelf has 2 pairs of shorts. How many pairs of shorts are on 5 shelves?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 10 pairs of shorts on 5 shelves.", "answer": "10", "table": "| Number of shelves | Number of pairs of shorts |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | 6 |\n| 4 | 8 |\n| 5 | ? |" } ] }, { "id": "27112", "image": "27112.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does the banquet end?\n" }, { "from": "gpt", "solution": "Find the banquet on the schedule. Find the end time for the banquet.\n\nbanquet: 12:35 P. M.", "answer": "12:35 P.M.", "table": "**Festival schedule**\n\n| Event | Begin | End |\n| --- | --- | --- |\n| banquet | 10:55 A.M. | 12:35 P.M. |\n| band concert | 12:40 P.M. | 2:00 P.M. |\n| choir concert | 1:45 P.M. | 3:55 P.M. |\n| award ceremony | 3:20 P.M. | 4:30 P.M. |\n| dance performance | 4:20 P.M. | 5:25 P.M. |\n| drumming performance | 5:35 P.M. | 7:55 P.M. |" } ] }, { "id": "27117", "image": "27117.png", "conversations": [ { "from": "human", "question": "Polly has $23. Does she have enough to buy a cat calendar and a cookbook?\n" }, { "from": "gpt", "solution": "Add the price of a cat calendar and the price of a cookbook:\n\n$12 + $10 = $22\n\n$22 is less than $23. Polly does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| cat calendar | $12 |\n| photo album | $16 |\n| cookbook | $10 |\n| atlas | $39 |" } ] }, { "id": "27124", "image": "27124.png", "conversations": [ { "from": "human", "question": "How much more does a sheet of mountain stamps cost than a large cardboard box?\n" }, { "from": "gpt", "solution": "Subtract the price of a large cardboard box from the price of a sheet of mountain stamps.\n\n$0.85 - $0.73 = $0.12\n\nA sheet of mountain stamps costs $0.12 more than a large cardboard box.", "answer": "0.12", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| robot stamp | $0.36 |\n| mountain postcard | $0.58 |\n| large cardboard box | $0.73 |\n| sheet of mountain stamps | $0.85 |\n| small red box | $0.69 |" } ] }, { "id": "27141", "image": "27141.png", "conversations": [ { "from": "human", "question": "How much money does Ariana need to buy 3 emerald rings and 7 sapphire pendants?\n" }, { "from": "gpt", "solution": "Find the cost of 3 emerald rings.\n\n$5,419.00 × 3 = $16,257.00\n\nFind the cost of 7 sapphire pendants.\n\n$7,084.00 × 7 = $49,588.00\n\nNow find the total cost.\n\n$16,257.00 + $49,588.00 = $65,845.00\n\nAriana needs $65,845.00.", "answer": "65,845", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| ruby bracelet | $4,256.00 |\n| pearl necklace | $1,622.00 |\n| diamond pendant | $9,221.00 |\n| opal pendant | $3,234.00 |\n| sapphire pendant | $7,084.00 |\n| emerald ring | $5,419.00 |" } ] }, { "id": "27149", "image": "27149.png", "conversations": [ { "from": "human", "question": "Ms. Lester reported her students' scores on the most recent quiz. What is the lowest score?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 1.\n\nNow find the lowest leaf in the first row. The lowest leaf is 3.\n\nThe lowest score has a stem of 1 and a leaf of 3. Write the stem first, then the leaf: 13.\n\nThe lowest score is 13 points.", "answer": "13", "table": "**Quiz scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 3, 9 |\n| 2 | 4, 6, 9 |\n| 3 | 2, 3, 6, 6, 7 |\n| 4 | 9 |\n| 5 | 1, 1, 4, 6, 6, 7, 8 |\n| 6 | 0, 1, 7, 7 |\n| 7 | 2, 6 |" } ] }, { "id": "27169", "image": "27169.png", "conversations": [ { "from": "human", "question": "A farmer recalled how many watermelons were harvested in the past 5 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n74, 79, 74, 76, 76\n\nFirst, arrange the numbers from least to greatest:\n\n74, 74, 76, 76, 79\n\nNow find the number in the middle.\n\n74, 74, 76, 76, 79\n\nThe number in the middle is 76.\n\nThe median is 76.", "answer": "76", "table": "**Watermelons harvested**\n\n| Day | Number of watermelons |\n| --- | --- |\n| Monday | 74 |\n| Tuesday | 79 |\n| Wednesday | 74 |\n| Thursday | 76 |\n| Friday | 76 |" } ] }, { "id": "27178", "image": "27178.png", "conversations": [ { "from": "human", "question": "The local high school found out how many members each club had. Which club has the most members?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 194.\n\nNow find the corresponding club. French club corresponds to 194.", "answer": "French club", "table": "**Club membership**\n\n| Club | Number of members |\n| --- | --- |\n| physics club | 114 |\n| French club | 194 |\n| Japanese club | 191 |\n| drama club | 149 |" } ] }, { "id": "27183", "image": "27183.png", "conversations": [ { "from": "human", "question": "A juice shop tracked how many smoothies it sold in the past 4 days. On which day did the shop sell the most smoothies?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 359.\n\nNow find the corresponding day. Monday corresponds to 359.", "answer": "Monday", "table": "**Smoothies sold**\n\n| Day | Number of smoothies |\n| --- | --- |\n| Sunday | 335 |\n| Monday | 359 |\n| Tuesday | 325 |\n| Wednesday | 323 |" } ] }, { "id": "27191", "image": "27191.png", "conversations": [ { "from": "human", "question": "Denise's class recorded how many states each student has visited. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n1, 1, 2, 4, 1, 1, 2, 2\n\nFirst, arrange the numbers from least to greatest:\n\n1, 1, 1, 1, 2, 2, 2, 4\n\nNow count how many times each number appears.\n\n1 appears 4 times.\n2 appears 3 times.\n4 appears 1 time.\n\nThe number that appears most often is 1.\n\nThe mode is 1.", "answer": "1", "table": "**States visited**\n\n| Name | Number of states |\n| --- | --- |\n| Denise | 1 |\n| Lee | 1 |\n| Alan | 2 |\n| Zane | 4 |\n| Quincy | 1 |\n| Camille | 1 |\n| Paul | 2 |\n| Bonnie | 2 |" } ] }, { "id": "27201", "image": "27201.png", "conversations": [ { "from": "human", "question": "Fans of the Washington baseball team compared the number of games won by their team each year. According to the table, what was the rate of change between 2015 and 2016?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{22 games - 24 games}{2016 - 2015}\n = \\frac{22 games - 24 games}{1 year}\n = \\frac{-2 games}{1 year}\n = -2 games per year\nThe rate of change between 2015 and 2016 was - 2 games per year.", "answer": "-2", "table": "**Games won by the Washington baseball team**\n\n| Year | Games won |\n| --- | --- |\n| 2014 | 34 |\n| 2015 | 24 |\n| 2016 | 22 |\n| 2017 | 16 |\n| 2018 | 26 |" } ] }, { "id": "27223", "image": "27223.png", "conversations": [ { "from": "human", "question": "How much more does a surfing adventure package cost than a mountain-biking adventure package?\n" }, { "from": "gpt", "solution": "Subtract the price of a mountain-biking adventure package from the price of a surfing adventure package.\n\n$979.00 - $733.00 = $246.00\n\nA surfing adventure package costs $246.00 more than a mountain-biking adventure package.", "answer": "246", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| mountain-biking adventure package | $733.00 |\n| deep-sea fishing package | $348.00 |\n| surfing adventure package | $979.00 |\n| whale-watching adventure package | $530.00 |" } ] }, { "id": "27234", "image": "27234.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which activity ends at 7.10 P.M.?\n" }, { "from": "gpt", "solution": "Find 7:10 P. M. on the schedule. Line dancing ends at 7:10 P. M.", "answer": "line dancing", "table": "**Gym schedule**\n\n| Activity | Begin | End |\n| --- | --- | --- |\n| indoor soccer | 7:50 A.M. | 9:30 A.M. |\n| aerobics | 9:45 A.M. | 11:05 A.M. |\n| floor hockey | 11:10 A.M. | 12:35 P.M. |\n| dodgeball | 12:45 P.M. | 2:10 P.M. |\n| volleyball | 2:15 P.M. | 2:45 P.M. |\n| gymnastics | 2:55 P.M. | 4:30 P.M. |\n| badminton | 4:35 P.M. | 5:10 P.M. |\n| yoga | 5:25 P.M. | 6:35 P.M. |\n| line dancing | 6:40 P.M. | 7:10 P.M. |" } ] }, { "id": "27235", "image": "27235.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $1,025, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $1,025, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $345 | 9,400 | 17,100 |\n| $515 | 9,100 | 18,300 |\n| $685 | 8,800 | 19,500 |\n| $855 | 8,500 | 20,700 |\n| $1,025 | 8,200 | 21,900 |" } ] }, { "id": "27236", "image": "27236.png", "conversations": [ { "from": "human", "question": "Look at this table. Is this relation a function?\n" }, { "from": "gpt", "solution": "Look at the x-values in the table.\n\nEach of the x-values is paired with only one y-value, so the relation is a function.", "answer": "yes", "table": "| x | y |\n| --- | --- |\n| 4 | 18 |\n| 7 | 17 |\n| 8 | 4 |" } ] }, { "id": "27237", "image": "27237.png", "conversations": [ { "from": "human", "question": "Ms. Landry wants to know more about her students. She asked each student about his or her favorite school activity and recorded their answers in a frequency chart. How many students said art or music is their favorite school activity?\n" }, { "from": "gpt", "solution": "The frequencies tell you how many students said each activity is their favorite. Start by finding how many students said art or music is their favorite.\nAdd those numbers together.\n7 + 8 = 15\nSo, 15 students said art or music is their favorite school activity.", "answer": "15", "table": "**Favorite school activity**\n\n| Activity | Frequency |\n| --- | --- |\n| art | 7 |\n| gym | 5 |\n| library | 2 |\n| music | 8 |\n| computer lab | 2 |\n| recess | 5 |" } ] }, { "id": "27238", "image": "27238.png", "conversations": [ { "from": "human", "question": "Emmett, who rents properties for a living, measures all the offices in a building he is renting. How many offices are exactly 57 square meters?\n" }, { "from": "gpt", "solution": "For the number 57, the stem is 5, and the leaf is 7. Find the row where the stem is 5. In that row, count all the leaves equal to 7.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 offices are exactly 57 square meters.", "answer": "2", "table": "**Office sizes (square meters)**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 1, 8 |\n| 4 | 7 |\n| 5 | 4, 7, 7 |\n| 6 | |\n| 7 | 1, 6, 6 |\n| 8 | 0, 3 |\n| 9 | 0 |" } ] }, { "id": "27241", "image": "27241.png", "conversations": [ { "from": "human", "question": "Alana has $105.70. How much money will Alana have left if she buys a denim skirt and a yellow dress?\n" }, { "from": "gpt", "solution": "Find the total cost of a denim skirt and a yellow dress.\n\n$10.38 + $37.16 = $47.54\n\nNow subtract the total cost from the starting amount.\n\n$105.70 - $47.54 = $58.16\n\nAlana will have $58.16 left.", "answer": "58.16", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| green dress | $15.16 |\n| yellow dress | $37.16 |\n| pair of sweat pants | $18.92 |\n| denim skirt | $10.38 |" } ] }, { "id": "27243", "image": "27243.png", "conversations": [ { "from": "human", "question": "Juan has $174.00. Does he have enough to buy a bearded dragon and a cockatoo?\n" }, { "from": "gpt", "solution": "Add the price of a bearded dragon and the price of a cockatoo:\n\n$94.48 + $76.90 = $171.38\n\n$171.38 is less than $174.00. Juan does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| bearded dragon | $94.48 |\n| chinchilla | $40.92 |\n| tarantula | $26.94 |\n| chameleon | $55.18 |\n| cockatoo | $76.90 |" } ] }, { "id": "27255", "image": "27255.png", "conversations": [ { "from": "human", "question": "An actor was informed how many fan letters he received each day. On which day were the fewest fan letters received?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 21.\n\nNow find the corresponding day. Thursday corresponds to 21.", "answer": "Thursday", "table": "**Fan letters received**\n\n| Day | Number of fan letters |\n| --- | --- |\n| Tuesday | 24 |\n| Wednesday | 23 |\n| Thursday | 21 |\n| Friday | 25 |" } ] }, { "id": "27261", "image": "27261.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{11 - 7}{1 - 0}\n = \\frac{4}{1}\n = 4\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{15 - 11}{2 - 1}\n = \\frac{4}{1}\n = 4\nThe two rates of change are the same.\nIf you checked the rate of change between rows 1 and 3, you would find that it is also 4.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 0 | 7 |\n| 1 | 11 |\n| 2 | 15 |" } ] }, { "id": "27268", "image": "27268.png", "conversations": [ { "from": "human", "question": "How much money does Myra need to buy a DVD player and a DVD?\n" }, { "from": "gpt", "solution": "Add the price of a DVD player and the price of a DVD:\n\n$76.00 + $12.00 = $88.00\n\nMyra needs $88.00.", "answer": "88", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| DVD player | $76.00 |\n| DVD | $12.00 |\n| blender | $20.00 |\n| calculator | $73.00 |\n| cell phone | $81.00 |\n| camera | $81.00 |" } ] }, { "id": "27269", "image": "27269.png", "conversations": [ { "from": "human", "question": "A food manufacturer surveyed consumers about their macaroni and cheese consumption. How many people ate macaroni and cheese at least 3 times?\n" }, { "from": "gpt", "solution": "Find the rows for 3, 4, 5, and 6 times. Add the frequencies for these rows.\n\nAdd:\n\n10 + 6 + 1 + 5 = 22\n\n22 people ate macaroni and cheese at least 3 times.", "answer": "22", "table": "**Eating macaroni and cheese last month**\n\n| Times eaten | Frequency |\n| --- | --- |\n| 0 | 13 |\n| 1 | 0 |\n| 2 | 9 |\n| 3 | 10 |\n| 4 | 6 |\n| 5 | 1 |\n| 6 | 5 |" } ] }, { "id": "27273", "image": "27273.png", "conversations": [ { "from": "human", "question": "After a field trip to the park, students in Mrs. Carter's art class counted the number of leaf rubbings they had made. How many students made at least 2 leaf rubbings?\n" }, { "from": "gpt", "solution": "Find the rows for 2, 3, 4, and 5 leaf rubbings. Add the frequencies for these rows.\n\nAdd:\n\n10 + 20 + 19 + 1 = 50\n\n50 students made at least 2 leaf rubbings.", "answer": "50", "table": "**Making leaf rubbings**\n\n| Leaf rubbings made | Frequency |\n| --- | --- |\n| 0 | 8 |\n| 1 | 7 |\n| 2 | 10 |\n| 3 | 20 |\n| 4 | 19 |\n| 5 | 1 |" } ] }, { "id": "27277", "image": "27277.png", "conversations": [ { "from": "human", "question": "How much more does a leaf blower cost than a fountain?\n" }, { "from": "gpt", "solution": "Subtract the price of a fountain from the price of a leaf blower.\n\n$80 - $76 = $4\n\nA leaf blower costs $4 more than a fountain.", "answer": "4", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| hammock | $99 |\n| fountain | $76 |\n| leaf blower | $80 |\n| rosebush | $32 |" } ] }, { "id": "27279", "image": "27279.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does the women's uneven bars event begin?\n" }, { "from": "gpt", "solution": "Find the women's uneven bars event on the schedule. Find the beginning time for the women's uneven bars event.\n\nwomen's uneven bars: 11:10 A. M.", "answer": "11:10 A.M.", "table": "**Gymnastics meet schedule**\n\n| Event | Begin | End |\n| --- | --- | --- |\n| women's balance beam | 10:35 A.M. | 11:00 A.M. |\n| women's uneven bars | 11:10 A.M. | 11:40 A.M. |\n| men's pommel horse | 11:40 A.M. | 12:15 P.M. |\n| men's high bar | 12:00 P.M. | 12:45 P.M. |\n| women's floor exercise | 12:45 P.M. | 1:15 P.M. |\n| men's floor exercise | 1:05 P.M. | 1:35 P.M. |" } ] }, { "id": "27287", "image": "27287.png", "conversations": [ { "from": "human", "question": "A county agency recorded the money donated to several charitable causes over time. In May, how much more money was raised for animals than for medical research?\n" }, { "from": "gpt", "solution": "Find the May column. Find the numbers in this column for animals and medical research.\n\nanimals: $18.00\nmedical research: $8.00\n\nNow subtract:\n\n$18.00 − $8.00 = $10.00\n\nIn May, $10 more was raised for animals.", "answer": "10", "table": "**Donations received**\n\n| Cause | May | June |\n| --- | --- | --- |\n| Parks | $2 | $12 |\n| Medical research | $8 | $20 |\n| Hunger | $7 | $2 |\n| Animals | $18 | $4 |\n| Education | $17 | $1 |" } ] }, { "id": "27295", "image": "27295.png", "conversations": [ { "from": "human", "question": "While working as a summer camp counselor, Keith monitored how many candy necklaces each child made. How many children made fewer than 5 candy necklaces?\n" }, { "from": "gpt", "solution": "Find the rows for 0, 1, 2, 3, and 4 candy necklaces. Add the frequencies for these rows.\n\nAdd:\n\n9 + 4 + 7 + 11 + 6 = 37\n\n37 children made fewer than 5 candy necklaces.", "answer": "37", "table": "**Making candy necklaces**\n\n| Candy necklaces made | Frequency |\n| --- | --- |\n| 0 | 9 |\n| 1 | 4 |\n| 2 | 7 |\n| 3 | 11 |\n| 4 | 6 |\n| 5 | 10 |\n| 6 | 3 |" } ] }, { "id": "27308", "image": "27308.png", "conversations": [ { "from": "human", "question": "How much money does Bridget need to buy a ceramic vase and an oil painting?\n" }, { "from": "gpt", "solution": "Add the price of a ceramic vase and the price of an oil painting:\n\n$53 + $91 = $144\n\nBridget needs $144.", "answer": "144", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| crystal sculpture | $51 |\n| oil painting | $91 |\n| crystal vase | $42 |\n| ceramic vase | $53 |" } ] }, { "id": "27309", "image": "27309.png", "conversations": [ { "from": "human", "question": "How much money does Simon need to buy an antique cast-iron bench and an antique pine chest of drawers?\n" }, { "from": "gpt", "solution": "Add the price of an antique cast-iron bench and the price of an antique pine chest of drawers:\n\n$2,825 + $3,199 = $6,024\n\nSimon needs $6,024.", "answer": "6,024", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| antique cast-iron bench | $2,825 |\n| antique marbletop vanity | $5,706 |\n| antique cherry bookcase | $6,210 |\n| antique pine chest of drawers | $3,199 |" } ] }, { "id": "27310", "image": "27310.png", "conversations": [ { "from": "human", "question": "Several people compared how many Web pages they had visited. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n8, 10, 4, 10, 2, 8, 5, 4\n\nFirst, find the greatest number. The greatest number is 10.\n\nNext, find the least number. The least number is 2.\n\nSubtract the least number from the greatest number:\n\n10 − 2 = 8\n\nThe range is 8.", "answer": "8", "table": "**Web pages visited**\n\n| Person | Number of Web pages |\n| --- | --- |\n| Percy | 8 |\n| Kari | 10 |\n| Madelyn | 4 |\n| Billy | 10 |\n| Jada | 2 |\n| Caleb | 8 |\n| Gabby | 5 |\n| Layla | 4 |" } ] }, { "id": "27332", "image": "27332.png", "conversations": [ { "from": "human", "question": "This morning, Mr. Kline released the scores from last week's spelling test. How many students scored at least 55 points?\n" }, { "from": "gpt", "solution": "Find the row with stem 5. Count all the leaves greater than or equal to 5.\n\nCount all the leaves in the rows with stems 6, 7, 8, and 9.\n\nYou counted 12 leaves, which are blue in the stem-and-leaf plots above. 12 students scored at least 55 points.", "answer": "12", "table": "**Spelling test scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 1, 6, 7 |\n| 4 | 4, 7, 8 |\n| 5 | 0, 2 |\n| 6 | 3, 4, 4, 7, 8, 9 |\n| 7 | 2 |\n| 8 | 1, 2, 6, 8 |\n| 9 | 0 |" } ] }, { "id": "27341", "image": "27341.png", "conversations": [ { "from": "human", "question": "Principal Hampton reported the state test scores from some students at her school. How many students scored exactly 47 points?\n" }, { "from": "gpt", "solution": "For the number 47, the stem is 4, and the leaf is 7. Find the row where the stem is 4. In that row, count all the leaves equal to 7.\n\nYou counted 1 leaf, which is blue in the stem-and-leaf plot above. 1 student scored exactly 47 points.", "answer": "1", "table": "**Test scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 1, 8 |\n| 3 | 1, 2 |\n| 4 | 1, 1, 7 |\n| 5 | 2, 4 |" } ] }, { "id": "27348", "image": "27348.png", "conversations": [ { "from": "human", "question": "Several families compared how many vegetables they ate in a year. Which family ate the fewest vegetables?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 669.\n\nNow find the corresponding family. Yamazaki family corresponds to 669.", "answer": "Yamazaki family", "table": "**Vegetables eaten in a year**\n\n| Family | Number of vegetables eaten |\n| --- | --- |\n| Yamazaki family | 669 |\n| McCullough family | 689 |\n| Fernandez family | 698 |\n| Grisham family | 686 |" } ] }, { "id": "27352", "image": "27352.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{12 - 3}{18 - 17}\n = \\frac{9}{1}\n = 9\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{17 - 3}{19 - 17}\n = \\frac{14}{2}\n = 7\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 17 | 3 |\n| 18 | 12 |\n| 19 | 17 |" } ] }, { "id": "27355", "image": "27355.png", "conversations": [ { "from": "human", "question": "Each bowl has 5 walnuts. How many walnuts are in 3 bowls?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 15 walnuts in 3 bowls.", "answer": "15", "table": "| Number of bowls | Number of walnuts |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | ? |" } ] }, { "id": "27365", "image": "27365.png", "conversations": [ { "from": "human", "question": "This table shows information about two occupations. In which occupation would you receive special training on local and state laws?\n" }, { "from": "gpt", "solution": "Look at the description for each occupation.\nActors give convincing performances of characters in a movie, television show, or play. They are not likely to receive special training in local and state laws.\nPolice officers enforce laws to stop crime and keep communities safe. So, police officers would receive special training on local and state laws.", "answer": "police officer", "table": "| | Police officer | Actor |\n| --- | --- | --- |\n| Description | Police officers enforce laws to stop crime and keep communities safe. | Actors give convincing performances of characters in a movie, television show, or play. |\n| Typical education required | High school diploma, and often graduation from a training academy | No specific education requirements, but many take acting classes |\n| Median income | $65,000 per year | $35,000 per year |" } ] }, { "id": "27368", "image": "27368.png", "conversations": [ { "from": "human", "question": "Some friends played golf and compared their scores. Who had the highest score?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 63.\n\nNow find the corresponding name. Isaac corresponds to 63.", "answer": "Isaac", "table": "**Golf scores**\n\n| Name | Score |\n| --- | --- |\n| Jasper | 60 |\n| Eduardo | 61 |\n| Isaac | 63 |\n| Pablo | 62 |" } ] }, { "id": "27377", "image": "27377.png", "conversations": [ { "from": "human", "question": "Every year Vindale has a citywide relay and reports the winning times. According to the table, what was the rate of change between 2006 and 2007?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{40 minutes - 43 minutes}{2007 - 2006}\n = \\frac{40 minutes - 43 minutes}{1 year}\n = \\frac{-3 minutes}{1 year}\n = -3 minutes per year\nThe rate of change between 2006 and 2007 was - 3 minutes per year.", "answer": "-3", "table": "**Winning relay times**\n\n| Year | Winning time (minutes) |\n| --- | --- |\n| 2006 | 43 |\n| 2007 | 40 |\n| 2008 | 38 |\n| 2009 | 37 |\n| 2010 | 44 |" } ] }, { "id": "27379", "image": "27379.png", "conversations": [ { "from": "human", "question": "How much would it cost to buy 2+7/10 pounds of alfredo sauce?\n" }, { "from": "gpt", "solution": "Find the cost of the alfredo sauce. Multiply the price per pound by the number of pounds.\n$7 × 2\\frac{7}{10} = $7 × 2.7 = $18.90\nIt would cost $18.90.", "answer": "18.90", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| beef sauce | $5/lb |\n| marinara sauce | $6/lb |\n| alfredo sauce | $7/lb |\n| pesto sauce | $6/lb |\n| tomato sauce | $5/lb |" } ] }, { "id": "27380", "image": "27380.png", "conversations": [ { "from": "human", "question": "How much money does Toby need to buy a boa constrictor, a llama, and an alpaca?\n" }, { "from": "gpt", "solution": "Find the total cost of a boa constrictor, a llama, and an alpaca.\n\n$1,359.00 + $1,113.00 + $1,345.00 = $3,817.00\n\nToby needs $3,817.00.", "answer": "3,817", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| llama | $1,113.00 |\n| boa constrictor | $1,359.00 |\n| alpaca | $1,345.00 |\n| cockatiel | $1,016.00 |" } ] }, { "id": "27389", "image": "27389.png", "conversations": [ { "from": "human", "question": "Bobby buys 4.9 pounds of banana chips. How much does he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the banana chips. Multiply the price per pound by the number of pounds.\n$3 × 4.9 = $14.70\nHe spends $14.70.", "answer": "14.70", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| dried pear | $2/pound |\n| dried mango | $4/pound |\n| raisins | $2/pound |\n| banana chips | $3/pound |\n| dried apple | $3/pound |\n| dried pineapple | $3/pound |" } ] }, { "id": "27392", "image": "27392.png", "conversations": [ { "from": "human", "question": "Some pizza restaurants compared their pizza sales. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n97, 99, 92, 97, 87, 92, 98, 90\n\nFirst, find the greatest number. The greatest number is 99.\n\nNext, find the least number. The least number is 87.\n\nSubtract the least number from the greatest number:\n\n99 − 87 = 12\n\nThe range is 12.", "answer": "12", "table": "**Pizza slices sold**\n\n| Restaurant | Number of slices sold |\n| --- | --- |\n| Pizza Italia | 97 |\n| Pizzas Only | 99 |\n| Taste of New York | 92 |\n| Mario's Pizzeria | 97 |\n| Pizzeria Italiano | 87 |\n| New York Slice | 92 |\n| The Real Chicago | 98 |\n| Antonio's Pizzeria | 90 |" } ] }, { "id": "27399", "image": "27399.png", "conversations": [ { "from": "human", "question": "A garden supply store kept track of how many lawn mowers it sold in the past 7 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n8, 7, 5, 7, 9, 8, 8\n\nFirst, arrange the numbers from least to greatest:\n\n5, 7, 7, 8, 8, 8, 9\n\nNow find the number in the middle.\n\n5, 7, 7, 8, 8, 8, 9\n\nThe number in the middle is 8.\n\nThe median is 8.", "answer": "8", "table": "**Lawn mowers sold**\n\n| Day | Number of lawn mowers |\n| --- | --- |\n| Tuesday | 8 |\n| Wednesday | 7 |\n| Thursday | 5 |\n| Friday | 7 |\n| Saturday | 9 |\n| Sunday | 8 |\n| Monday | 8 |" } ] }, { "id": "27402", "image": "27402.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which class begins at 12.20 P.M.?\n" }, { "from": "gpt", "solution": "Find 12:20 P. M. on the schedule. The swing dance class begins at 12:20 P. M.", "answer": "swing dance class", "table": "**Dance studio schedule**\n\n| Class | Begin | End |\n| --- | --- | --- |\n| ballroom dance | 9:45 A.M. | 10:40 A.M. |\n| western dance | 10:45 A.M. | 11:30 A.M. |\n| tap dance | 11:40 A.M. | 12:15 P.M. |\n| swing dance | 12:20 P.M. | 1:55 P.M. |\n| modern dance | 2:05 P.M. | 2:40 P.M. |\n| intermediate ballet | 2:45 P.M. | 4:15 P.M. |" } ] }, { "id": "27407", "image": "27407.png", "conversations": [ { "from": "human", "question": "Every year Salem has a citywide relay and reports the winning times. According to the table, what was the rate of change between 2016 and 2017?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{35 minutes - 31 minutes}{2017 - 2016}\n = \\frac{35 minutes - 31 minutes}{1 year}\n = \\frac{4 minutes}{1 year}\n = 4 minutes per year\nThe rate of change between 2016 and 2017 was 4 minutes per year.", "answer": "4", "table": "**Winning relay times**\n\n| Year | Winning time (minutes) |\n| --- | --- |\n| 2016 | 31 |\n| 2017 | 35 |\n| 2018 | 37 |\n| 2019 | 28 |\n| 2020 | 34 |" } ] }, { "id": "27410", "image": "27410.png", "conversations": [ { "from": "human", "question": "How much money does Haley need to buy a fancy ribbon and a red balloon?\n" }, { "from": "gpt", "solution": "Add the price of a fancy ribbon and the price of a red balloon:\n\n$0.31 + $0.19 = $0.50\n\nHaley needs $0.50.", "answer": "0.50", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| whistle | $0.97 |\n| red balloon | $0.19 |\n| noisemaker | $0.61 |\n| fancy ribbon | $0.31 |\n| party hat | $0.64 |" } ] }, { "id": "27412", "image": "27412.png", "conversations": [ { "from": "human", "question": "Jacob bought 3 pounds of pineapples. How much did he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the pineapples. Multiply the price per pound by the number of pounds.\n\n$6 × 3 = $18\n\nHe spent $18.", "answer": "18", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| oranges | $2 per pound |\n| pineapples | $6 per pound |\n| tangerines | $1 per pound |\n| lemons | $2 per pound |\n| grapefruits | $2 per pound |" } ] }, { "id": "27414", "image": "27414.png", "conversations": [ { "from": "human", "question": "Doug's campground is close to two hiking trails with scenic destinations. One trail ends at an underground lake in the bottom of a small cave. The other trail ends at a mountain peak. The elevation of each destination is shown on the campground map. Which trail's destination is farther from sea level?\n" }, { "from": "gpt", "solution": "The underground lake's elevation is negative, so it is below sea level. The mountain peak's elevation is positive, so it is above sea level.\nTo find the destination farther from sea level, use absolute value. Absolute value tells you how far each destination is from sea level.\nUnderground lake: |-350| = 350\nMountain peak: |325| = 325\nThe underground lake is 350 feet below sea level, and the mountain peak is only 325 feet above sea level. The underground lake is farther from sea level.", "answer": "underground lake", "table": "| Destination | Elevation (ft.) |\n| --- | --- |\n| Underground lake | -350 |\n| Mountain peak | 325 |" } ] }, { "id": "27417", "image": "27417.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. At which stop does the train arrive at 11.50 A.M.?\n" }, { "from": "gpt", "solution": "Find 11:50 A. M. on the schedule. The train arrives at the town square at 11:50 A. M.", "answer": "town square", "table": "**Light rail train schedule**\n\n| Location | Time |\n| --- | --- |\n| university | 10:35 A.M. |\n| science museum | 11:00 A.M. |\n| elementary school | 11:10 A.M. |\n| park | 11:40 A.M. |\n| town square | 11:50 A.M. |\n| library | 12:15 P.M. |\n| swimming pool | 12:40 P.M. |\n| baseball stadium | 1:10 P.M. |" } ] }, { "id": "27420", "image": "27420.png", "conversations": [ { "from": "human", "question": "At their family reunion, the Lopez family recorded everyone's age. How many people are at least 10 years old but less than 60 years old?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1, 2, 3, 4, and 5.\n\nYou counted 12 leaves, which are blue in the stem-and-leaf plot above. 12 people are at least 10 years old but less than 60 years old.", "answer": "12", "table": "**Ages**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 3, 4 |\n| 2 | 6, 9 |\n| 3 | 0, 1, 4, 6, 9 |\n| 4 | 0, 1, 7 |\n| 5 | |\n| 6 | 6 |" } ] }, { "id": "27437", "image": "27437.png", "conversations": [ { "from": "human", "question": "The teachers at a middle school counted how many computers they had in their classrooms. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n11, 18, 18, 16, 13, 16, 13\n\nFirst, count how many numbers are in the group.\n\nThere are 7 numbers.\n\nNow add all the numbers together:\n\n11 + 18 + 18 + 16 + 13 + 16 + 13 = 105\n\nNow divide the sum by the number of numbers:\n\n105 ÷ 7 = 15\n\nThe mean is 15.", "answer": "15", "table": "**Computers in classrooms**\n\n| Teacher | Number of computers |\n| --- | --- |\n| Mrs. Tan | 11 |\n| Mr. Morales | 18 |\n| Mr. Watson | 18 |\n| Mrs. Jansen | 16 |\n| Mr. Schmidt | 13 |\n| Ms. Rojas | 16 |\n| Mrs. Rossi | 13 |" } ] }, { "id": "27441", "image": "27441.png", "conversations": [ { "from": "human", "question": "Nick bought 2 pounds of raspberry vinaigrette. How much did he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the raspberry vinaigrette. Multiply the price per pound by the number of pounds.\n\n$3 × 2 = $6\n\nHe spent $6.", "answer": "6", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| raspberry vinaigrette | $3/pound |\n| Italian dressing | $4/pound |\n| blue cheese dressing | $4/pound |\n| balsamic vinaigrette | $6/pound |\n| Thousand Island dressing | $4/pound |\n| ranch dressing | $4/pound |" } ] }, { "id": "27450", "image": "27450.png", "conversations": [ { "from": "human", "question": "In hopes of raising more funds for arts education, some parents in the Clarksville School District publicized the current per-student arts education budget. According to the table, what was the rate of change between 2019 and 2020?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{$25 - $19}{2020 - 2019}\n = \\frac{$25 - $19}{1 year}\n = \\frac{$6}{1 year}\n = $6 per year\nThe rate of change between 2019 and 2020 was $6 per year.", "answer": "6", "table": "**Clarksville arts education budget**\n\n| Year | Per-student budget |\n| --- | --- |\n| 2016 | $28 |\n| 2017 | $23 |\n| 2018 | $22 |\n| 2019 | $19 |\n| 2020 | $25 |" } ] }, { "id": "27454", "image": "27454.png", "conversations": [ { "from": "human", "question": "How much money does Aisha need to buy 8 tickets for a Caribbean cruise?\n" }, { "from": "gpt", "solution": "Find the total cost of 8 tickets for a Caribbean cruise by multiplying 8 times the price of a ticket for a Caribbean cruise.\n\n$4,761 × 8 = $38,088\n\nAisha needs $38,088.", "answer": "38,088", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| ticket for an Australian cruise | $3,530 |\n| ticket for a Mediterranean cruise | $3,996 |\n| ticket for a Hawaiian cruise | $9,448 |\n| ticket for an Alaskan cruise | $4,136 |\n| ticket for a Caribbean cruise | $4,761 |" } ] }, { "id": "27457", "image": "27457.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Tom just missed the 1.45 P.M. bus at the mall. How long does he have to wait until the next bus?\n" }, { "from": "gpt", "solution": "Find 1:45 P. M. in the row for the mall.\n\nLook for the next bus in that row.\n\nThe next bus is at 2:30 P. M.\n\nFind the elapsed time. The elapsed time is 45 minutes.", "answer": "45 minutes", "table": "**Bus schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 |\n| --- | --- | --- | --- |\n| the library | 9:00 A.M. | 10:15 A.M. | 11:00 A.M. |\n| the science museum | 10:00 A.M. | 11:15 A.M. | 12:00 P.M. |\n| the playground | 11:00 A.M. | 12:15 P.M. | 1:00 P.M. |\n| the kickball field | 12:00 P.M. | 1:15 P.M. | 2:00 P.M. |\n| the mall | 12:30 P.M. | 1:45 P.M. | 2:30 P.M. |\n| the post office | 1:00 P.M. | 2:15 P.M. | 3:00 P.M. |" } ] }, { "id": "27462", "image": "27462.png", "conversations": [ { "from": "human", "question": "How much money does Destiny need to buy 9 history books and 2 cat calendars?\n" }, { "from": "gpt", "solution": "Find the cost of 9 history books.\n\n$17.73 × 9 = $159.57\n\nFind the cost of 2 cat calendars.\n\n$11.80 × 2 = $23.60\n\nNow find the total cost.\n\n$159.57 + $23.60 = $183.17\n\nDestiny needs $183.17.", "answer": "183.17", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| encyclopedia | $36.18 |\n| cat calendar | $11.80 |\n| mystery novel | $12.56 |\n| history book | $17.73 |" } ] }, { "id": "27465", "image": "27465.png", "conversations": [ { "from": "human", "question": "At their family reunion, the Atkinson family recorded everyone's age. How many people are less than 61 years old?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1, 2, 3, 4, and 5.\n\nIn the row with stem 6, count all the leaves less than 1.\n\nYou counted 6 leaves, which are blue in the stem-and-leaf plots above. 6 people are less than 61 years old.", "answer": "6", "table": "**Ages**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 6 |\n| 2 | |\n| 3 | 3, 7, 8 |\n| 4 | 5 |\n| 5 | 4 |\n| 6 | |\n| 7 | 3, 4 |\n| 8 | 9 |\n| 9 | 0 |" } ] }, { "id": "27468", "image": "27468.png", "conversations": [ { "from": "human", "question": "Each bracelet has 10 charms. How many charms are on 5 bracelets?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 50 charms on 5 bracelets.", "answer": "50", "table": "| Number of bracelets | Number of charms |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | 40 |\n| 5 | ? |" } ] }, { "id": "27470", "image": "27470.png", "conversations": [ { "from": "human", "question": "A grocery store chain tracked the number of trips people made to its stores last week. How many people went to the grocery store at least 2 times?\n" }, { "from": "gpt", "solution": "Find the rows for 2, 3, and 4 times. Add the frequencies for these rows.\n\nAdd:\n\n18 + 16 + 4 = 38\n\n38 people went to the grocery store at least 2 times.", "answer": "38", "table": "**Trips to the grocery store last week**\n\n| Number of trips | Frequency |\n| --- | --- |\n| 1 | 14 |\n| 2 | 18 |\n| 3 | 16 |\n| 4 | 4 |" } ] }, { "id": "27472", "image": "27472.png", "conversations": [ { "from": "human", "question": "How much money does Gordon need to buy a broom and a shovel?\n" }, { "from": "gpt", "solution": "Add the price of a broom and the price of a shovel:\n\n$7.40 + $9.25 = $16.65\n\nGordon needs $16.65.", "answer": "16.65", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| broom | $7.40 |\n| watering can | $6.29 |\n| lawn sprinkler | $7.63 |\n| shovel | $9.25 |" } ] }, { "id": "27476", "image": "27476.png", "conversations": [ { "from": "human", "question": "How much more does a bag of peanuts cost than an ice cream cone?\n" }, { "from": "gpt", "solution": "Subtract the price of an ice cream cone from the price of a bag of peanuts.\n\n$0.98 - $0.93 = $0.05\n\nA bag of peanuts costs $0.05 more than an ice cream cone.", "answer": "0.05", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| bottle of water | $0.76 |\n| ice cream cone | $0.93 |\n| glass of lemonade | $0.31 |\n| brownie | $0.81 |\n| bag of peanuts | $0.98 |" } ] }, { "id": "27478", "image": "27478.png", "conversations": [ { "from": "human", "question": "A theme park developer recorded the number of people who visited the local water park last summer. How many people went to the water park fewer than 3 times?\n" }, { "from": "gpt", "solution": "Find the rows for 1 and 2 times. Add the frequencies for these rows.\n\nAdd:\n\n6 + 16 = 22\n\n22 people went to the water park fewer than 3 times.", "answer": "22", "table": "**Going to the water park last summer**\n\n| Number of trips | Frequency |\n| --- | --- |\n| 1 | 6 |\n| 2 | 16 |\n| 3 | 17 |\n| 4 | 12 |" } ] }, { "id": "27483", "image": "27483.png", "conversations": [ { "from": "human", "question": "Every year Millersburg has a citywide relay and reports the winning times. According to the table, what was the rate of change between 2013 and 2014?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{37 minutes - 42 minutes}{2014 - 2013}\n = \\frac{37 minutes - 42 minutes}{1 year}\n = \\frac{-5 minutes}{1 year}\n = -5 minutes per year\nThe rate of change between 2013 and 2014 was - 5 minutes per year.", "answer": "-5", "table": "**Winning relay times**\n\n| Year | Winning time (minutes) |\n| --- | --- |\n| 2010 | 43 |\n| 2011 | 45 |\n| 2012 | 46 |\n| 2013 | 42 |\n| 2014 | 37 |" } ] }, { "id": "27484", "image": "27484.png", "conversations": [ { "from": "human", "question": "Chase is a pediatrics nurse who conducts the first neonatal exam on newborn patients. He makes note of the newborns' height, weight, eye color, and heart rate, among other things. What is the probability that a randomly selected baby has blue eyes and has a slow heart rate (<100 bpm)? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the baby has blue eyes\" and B be the event \"the baby has a slow heart rate (<100 bpm)\".\nTo find the probability that a baby has blue eyes and has a slow heart rate (<100 bpm), first identify the sample space and the event.\nThe outcomes in the sample space are the different babies. Each baby is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the baby has blue eyes and has a slow heart rate (<100 bpm)\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the baby has blue eyes and has a slow heart rate (<100 bpm)\", so look at the table to see how many babies have blue eyes and have a slow heart rate (<100 bpm).\nThe number of babies who have blue eyes and have a slow heart rate (<100 bpm) is 3.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of babies.\n3 + 3 + 2 + 3 = 11\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{3}{11}\nThe probability that a baby has blue eyes and has a slow heart rate (<100 bpm) is \\frac{3}{11}.", "answer": "3/11", "table": "| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| | Slow heart rate (<100 bpm) | Fast heart rate (>100 bpm) |\n| Brown eyes | 3 | 2 |\n| Blue eyes | 3 | 3 |" } ] }, { "id": "27485", "image": "27485.png", "conversations": [ { "from": "human", "question": "Each plate has 5 cherries. How many cherries are on 5 plates?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 25 cherries on 5 plates.", "answer": "25", "table": "| Number of plates | Number of cherries |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | 20 |\n| 5 | ? |" } ] }, { "id": "27503", "image": "27503.png", "conversations": [ { "from": "human", "question": "How much money does Harper need to buy a flag stamp, a piece of bubble wrap, and a robot stamp?\n" }, { "from": "gpt", "solution": "Find the total cost of a flag stamp, a piece of bubble wrap, and a robot stamp.\n\n$0.07 + $0.07 + $0.08 = $0.22\n\nHarper needs $0.22.", "answer": "0.22", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| piece of bubble wrap | $0.07 |\n| robot stamp | $0.08 |\n| flag stamp | $0.07 |\n| coyote stamp | $0.04 |\n| tulip stamp | $0.04 |" } ] }, { "id": "27504", "image": "27504.png", "conversations": [ { "from": "human", "question": "Grayson counted the number of pieces of pepperoni on each pizza he made. What is the smallest number of pieces of pepperoni?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 1.\n\nNow find the lowest leaf in the first row. The lowest leaf is 0.\n\nThe smallest number of pieces of pepperoni has a stem of 1 and a leaf of 0. Write the stem first, then the leaf: 10.\n\nThe smallest number of pieces of pepperoni is 10 pieces of pepperoni.", "answer": "10", "table": "**Pieces of pepperoni per pizza**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 0, 1, 3, 8, 8 |\n| 2 | 0, 1, 1, 2, 9, 9 |\n| 3 | 1, 3, 3, 6, 6, 6 |\n| 4 | 1, 2, 9 |" } ] }, { "id": "27508", "image": "27508.png", "conversations": [ { "from": "human", "question": "At a science museum, visitors can compete to see who has a faster reaction time. Competitors watch a red screen, and the moment they see it turn from red to green, they push a button. The machine records their reaction times and also asks competitors to report their gender. What is the probability that a randomly selected competitor was female and reacted in 0.3 to 0.7 seconds? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the competitor was female\" and B be the event \"the competitor reacted in 0.3 to 0.7 seconds\".\nTo find the probability that a competitor was female and reacted in 0.3 to 0.7 seconds, first identify the sample space and the event.\nThe outcomes in the sample space are the different competitors. Each competitor is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the competitor was female and reacted in 0.3 to 0.7 seconds\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the competitor was female and reacted in 0.3 to 0.7 seconds\", so look at the table to see how many competitors were female and reacted in 0.3 to 0.7 seconds.\nThe number of competitors who were female and reacted in 0.3 to 0.7 seconds is 6.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of competitors.\n3 + 3 + 4 + 6 = 16\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{6}{16}\n = \\frac{3}{8}\nThe probability that a competitor was female and reacted in 0.3 to 0.7 seconds is \\frac{3}{8}.", "answer": "3/8", "table": "| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| | Less than 0.3 seconds | 0.3 to 0.7 seconds |\n| Male | 3 | 4 |\n| Female | 3 | 6 |" } ] }, { "id": "27509", "image": "27509.png", "conversations": [ { "from": "human", "question": "Sue has $0.11. How much money will Sue have left if she buys a red thumbtack and a small metal hook?\n" }, { "from": "gpt", "solution": "Find the total cost of a red thumbtack and a small metal hook.\n\n$0.06 + $0.03 = $0.09\n\nNow subtract the total cost from the starting amount.\n\n$0.11 - $0.09 = $0.02\n\nSue will have $0.02 left.", "answer": "0.02", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| small metal hook | $0.03 |\n| gold tack | $0.02 |\n| brass clip | $0.04 |\n| flat-head bolt | $0.03 |\n| red thumbtack | $0.06 |" } ] }, { "id": "27511", "image": "27511.png", "conversations": [ { "from": "human", "question": "Gary went on a bird watching trip and jotted down the number of birds he saw each day. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 4, 10, 6, 9\n\nFirst, arrange the numbers from least to greatest:\n\n4, 6, 9, 9, 10\n\nNow find the number in the middle.\n\n4, 6, 9, 9, 10\n\nThe number in the middle is 9.\n\nThe median is 9.", "answer": "9", "table": "**Number of birds**\n\n| Day | Number of birds |\n| --- | --- |\n| Wednesday | 9 |\n| Thursday | 4 |\n| Friday | 10 |\n| Saturday | 6 |\n| Sunday | 9 |" } ] }, { "id": "27512", "image": "27512.png", "conversations": [ { "from": "human", "question": "Each horse pasture has 10 sprinklers. How many sprinklers are in 5 horse pastures?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 50 sprinklers in 5 horse pastures.", "answer": "50", "table": "| Number of horse pastures | Number of sprinklers |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | 40 |\n| 5 | ? |" } ] }, { "id": "27514", "image": "27514.png", "conversations": [ { "from": "human", "question": "Ben went on a camping trip and logged the number of miles he hiked each day. On which day did Ben hike the most miles?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 19.\n\nNow find the corresponding day. Saturday corresponds to 19.", "answer": "Saturday", "table": "**Miles hiked**\n\n| Day | Number of miles |\n| --- | --- |\n| Thursday | 12 |\n| Friday | 13 |\n| Saturday | 19 |\n| Sunday | 16 |" } ] }, { "id": "27515", "image": "27515.png", "conversations": [ { "from": "human", "question": "Russell's campground is close to two hiking trails with scenic destinations. One trail ends at an underground lake in the bottom of a small cave. The other trail ends at a mountain peak. The elevation of each destination is shown on the campground map. Which trail's destination is farther from sea level?\n" }, { "from": "gpt", "solution": "The underground lake's elevation is negative, so it is below sea level. The mountain peak's elevation is positive, so it is above sea level.\nTo find the destination farther from sea level, use absolute value. Absolute value tells you how far each destination is from sea level.\nUnderground lake: |-350| = 350\nMountain peak: |325| = 325\nThe underground lake is 350 feet below sea level, and the mountain peak is only 325 feet above sea level. The underground lake is farther from sea level.", "answer": "underground lake", "table": "| Destination | Elevation (ft.) |\n| --- | --- |\n| Underground lake | -350 |\n| Mountain peak | 325 |" } ] }, { "id": "27521", "image": "27521.png", "conversations": [ { "from": "human", "question": "What is the total cost for 1.6 pounds of cashews?\n" }, { "from": "gpt", "solution": "Find the cost of the cashews. Multiply the price per pound by the number of pounds.\n$8 × 1.6 = $12.80\nThe total cost is $12.80.", "answer": "12.80", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| walnuts | $8/pound |\n| cashews | $8/pound |\n| hazelnuts | $4/pound |\n| pecans | $6/pound |\n| almonds | $4/pound |\n| peanuts | $2/pound |" } ] }, { "id": "27554", "image": "27554.png", "conversations": [ { "from": "human", "question": "The Somerville Chamber of Commerce researched the number of employees working at local companies. What is the size of the largest company?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 9.\n\nNow find the highest leaf in the last row. The highest leaf is 0.\n\nThe size of the largest company has a stem of 9 and a leaf of 0. Write the stem first, then the leaf: 90.\n\nThe size of the largest company is 90 employees.", "answer": "90", "table": "**Company sizes (number of employees)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0 |\n| 2 | 8 |\n| 3 | |\n| 4 | 3, 7 |\n| 5 | 6, 7 |\n| 6 | |\n| 7 | 7 |\n| 8 | |\n| 9 | 0 |" } ] }, { "id": "27567", "image": "27567.png", "conversations": [ { "from": "human", "question": "Ellie kept a tally of the number of emails she received each day for a week. According to the table, what was the rate of change between Wednesday and Thursday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{0 emails - 7 emails}{1 day}\n = \\frac{-7 emails}{1 day}\n = -7 emails per day\nThe rate of change between Wednesday and Thursday was - 7 emails per day.", "answer": "-7", "table": "**Emails Ellie received**\n\n| Day | Emails |\n| --- | --- |\n| Monday | 1 |\n| Tuesday | 10 |\n| Wednesday | 7 |\n| Thursday | 0 |\n| Friday | 5 |" } ] }, { "id": "27568", "image": "27568.png", "conversations": [ { "from": "human", "question": "Each plate has 5 pumpkin bars. How many pumpkin bars are on 5 plates?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 25 pumpkin bars on 5 plates.", "answer": "25", "table": "| Number of plates | Number of pumpkin bars |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | 20 |\n| 5 | ? |" } ] }, { "id": "27569", "image": "27569.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Gabby is at Comfy Pillows Resort. If she wants to arrive at Magician Village at 11.30 P.M., what time should she get on the train?\n" }, { "from": "gpt", "solution": "Look at the row for Magician Village. Find the train that arrives at Magician Village at 11:30 P. M.\n\nLook up the column until you find the row for Comfy Pillows Resort.\n\nGabby should get on the train at 9:00 P. M.", "answer": "9:00 P.M.", "table": "**Train schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 |\n| --- | --- | --- | --- |\n| Comfy Pillows Resort | 2:30 A.M. | 11:15 A.M. | 9:00 P.M. |\n| Pleasant River Campground | 3:30 A.M. | 12:15 P.M. | 10:00 P.M. |\n| Floral Gardens | 4:15 A.M. | 1:00 P.M. | 10:45 P.M. |\n| Magician Village | 5:00 A.M. | 1:45 P.M. | 11:30 P.M. |\n| Skyscraper City | 5:45 A.M. | 2:30 P.M. | 12:15 A.M. |\n| Gecko Paradise | 6:30 A.M. | 3:15 P.M. | 1:00 A.M. |\n| Rocky Ravine Town | 7:30 A.M. | 4:15 P.M. | 2:00 A.M. |" } ] }, { "id": "27572", "image": "27572.png", "conversations": [ { "from": "human", "question": "How much more does a mountain-biking adventure package cost than a scuba-diving adventure package?\n" }, { "from": "gpt", "solution": "Subtract the price of a scuba-diving adventure package from the price of a mountain-biking adventure package.\n\n$860.00 - $545.00 = $315.00\n\nA mountain-biking adventure package costs $315.00 more than a scuba-diving adventure package.", "answer": "315", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| ski trip package | $363.00 |\n| mountain-biking adventure package | $860.00 |\n| sailing trip package | $241.00 |\n| scuba-diving adventure package | $545.00 |\n| parachuting adventure package | $104.00 |" } ] }, { "id": "27573", "image": "27573.png", "conversations": [ { "from": "human", "question": "Tori purchased 5 kilograms of canola oil. What was the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the canola oil. Multiply the price per kilogram by the number of kilograms.\n\n$1.50 × 5 = $7.50\n\nThe total cost was $7.50.", "answer": "7.50", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| peanut oil | $1.63 per kg |\n| olive oil | $1.89 per kg |\n| cottonseed oil | $2.19 per kg |\n| canola oil | $1.50 per kg |" } ] }, { "id": "27579", "image": "27579.png", "conversations": [ { "from": "human", "question": "Erik has $13. Does he have enough to buy a serving platter and a glass measuring cup?\n" }, { "from": "gpt", "solution": "Add the price of a serving platter and the price of a glass measuring cup:\n\n$6 + $7 = $13\n\nSince Erik has $13, he has just enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| glass measuring cup | $7 |\n| serving platter | $6 |\n| cookbook | $4 |\n| ice cream scoop | $6 |" } ] }, { "id": "27581", "image": "27581.png", "conversations": [ { "from": "human", "question": "A crayon factory monitored the number of broken crayons per box during the past day. How many boxes had exactly 79 broken crayons?\n" }, { "from": "gpt", "solution": "For the number 79, the stem is 7, and the leaf is 9. Find the row where the stem is 7. In that row, count all the leaves equal to 9.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 boxes had exactly 79 broken crayons.", "answer": "4", "table": "**Broken crayons per box**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 9, 9 |\n| 3 | |\n| 4 | |\n| 5 | 8 |\n| 6 | |\n| 7 | 0, 6, 9, 9, 9, 9 |" } ] }, { "id": "27592", "image": "27592.png", "conversations": [ { "from": "human", "question": "Fans of the Springfield baseball team compared the number of games won by their team each year. According to the table, what was the rate of change between 2008 and 2009?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{36 games - 37 games}{2009 - 2008}\n = \\frac{36 games - 37 games}{1 year}\n = \\frac{-1 games}{1 year}\n = -1 games per year\nThe rate of change between 2008 and 2009 was - 1 games per year.", "answer": "-1", "table": "**Games won by the Springfield baseball team**\n\n| Year | Games won |\n| --- | --- |\n| 2008 | 37 |\n| 2009 | 36 |\n| 2010 | 47 |\n| 2011 | 44 |\n| 2012 | 39 |" } ] }, { "id": "27593", "image": "27593.png", "conversations": [ { "from": "human", "question": "Look at Josue's pay stub. Josue lives in a state without state income tax. How much did Josue make after taxes?\n" }, { "from": "gpt", "solution": "Find how much Josue made after taxes. Find the total payroll tax, then subtract it from the total earnings.\nTo find the total payroll tax, add the federal income tax and the other taxes.\nThe total earnings are $3,128.00. The total payroll tax is $598.45. Subtract to find the difference.\n$3,128.00 - $598.45 = $2,529.55\nJosue made $2,529.55 after taxes.", "answer": "2,529.55", "table": "| Employee | Pay period | |\n| --- | --- | --- |\n| Josue Cohen | June | |\n| Total earnings | | $3,128.00 |\n| Federal income tax | $359.25 | |\n| Other taxes | $239.20 | |\n| Total taxes | | ? |\n| Pay after taxes | | ? |" } ] }, { "id": "27598", "image": "27598.png", "conversations": [ { "from": "human", "question": "How much more does a book about Europe cost than a book about dinosaurs?\n" }, { "from": "gpt", "solution": "Subtract the price of a book about dinosaurs from the price of a book about Europe.\n\n$18.00 - $12.00 = $6.00\n\nA book about Europe costs $6.00 more than a book about dinosaurs.", "answer": "6", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| book about dinosaurs | $12.00 |\n| book about ballet | $10.00 |\n| book about Europe | $18.00 |\n| book about trains | $23.00 |\n| book about fish | $10.00 |" } ] }, { "id": "27603", "image": "27603.png", "conversations": [ { "from": "human", "question": "A reporter looked through his notebook to remember how many people he had interviewed in the past 6 days. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n5, 10, 3, 8, 4, 6\n\nFirst, count how many numbers are in the group.\n\nThere are 6 numbers.\n\nNow add all the numbers together:\n\n5 + 10 + 3 + 8 + 4 + 6 = 36\n\nNow divide the sum by the number of numbers:\n\n36 ÷ 6 = 6\n\nThe mean is 6.", "answer": "6", "table": "**People interviewed**\n\n| Day | Number of people |\n| --- | --- |\n| Monday | 5 |\n| Tuesday | 10 |\n| Wednesday | 3 |\n| Thursday | 8 |\n| Friday | 4 |\n| Saturday | 6 |" } ] }, { "id": "27607", "image": "27607.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $1,405, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $1,405, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $645 | 10,900 | 12,700 |\n| $835 | 10,700 | 14,400 |\n| $1,025 | 10,500 | 16,100 |\n| $1,215 | 10,300 | 17,800 |\n| $1,405 | 10,100 | 19,500 |" } ] }, { "id": "27610", "image": "27610.png", "conversations": [ { "from": "human", "question": "A farmer wrote down how many kilograms of cherries were sold in the past 6 days. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n51, 44, 43, 42, 43, 47\n\nFirst, count how many numbers are in the group.\n\nThere are 6 numbers.\n\nNow add all the numbers together:\n\n51 + 44 + 43 + 42 + 43 + 47 = 270\n\nNow divide the sum by the number of numbers:\n\n270 ÷ 6 = 45\n\nThe mean is 45.", "answer": "45", "table": "**Cherries sold**\n\n| Day | Kilograms |\n| --- | --- |\n| Sunday | 51 |\n| Monday | 44 |\n| Tuesday | 43 |\n| Wednesday | 42 |\n| Thursday | 43 |\n| Friday | 47 |" } ] }, { "id": "27611", "image": "27611.png", "conversations": [ { "from": "human", "question": "Brendan purchased 3 pounds of red bell peppers. What was the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the red bell peppers. Multiply the price per pound by the number of pounds.\n\n$1.49 × 3 = $4.47\n\nThe total cost was $4.47.", "answer": "4.47", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| Anaheim peppers | $1.01/pound |\n| green bell peppers | $1.75/pound |\n| chili peppers | $1.89/pound |\n| red bell peppers | $1.49/pound |" } ] }, { "id": "27612", "image": "27612.png", "conversations": [ { "from": "human", "question": "A real estate agent drove around the neighborhood and counted the number of houses on each block. How many blocks have exactly 37 houses?\n" }, { "from": "gpt", "solution": "For the number 37, the stem is 3, and the leaf is 7. Find the row where the stem is 3. In that row, count all the leaves equal to 7.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 blocks have exactly 37 houses.", "answer": "3", "table": "**Houses per block**\n\n| Stem | Leaf |\n| --- | --- |\n| 0 | 8 |\n| 1 | 0, 0, 5, 7, 9 |\n| 2 | 0, 1, 2, 2, 3, 5, 8, 9 |\n| 3 | 3, 4, 5, 7, 7, 7, 9 |" } ] }, { "id": "27626", "image": "27626.png", "conversations": [ { "from": "human", "question": "Joel kept a written log of how many miles he biked during the past 7 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n11, 18, 14, 7, 10, 24, 23\n\nFirst, arrange the numbers from least to greatest:\n\n7, 10, 11, 14, 18, 23, 24\n\nNow find the number in the middle.\n\n7, 10, 11, 14, 18, 23, 24\n\nThe number in the middle is 14.\n\nThe median is 14.", "answer": "14", "table": "**Miles biked**\n\n| Day | Number of miles |\n| --- | --- |\n| Saturday | 11 |\n| Sunday | 18 |\n| Monday | 14 |\n| Tuesday | 7 |\n| Wednesday | 10 |\n| Thursday | 24 |\n| Friday | 23 |" } ] }, { "id": "27629", "image": "27629.png", "conversations": [ { "from": "human", "question": "A Girl Scout troop recorded how many boxes of cookies they sold each day for a week. According to the table, what was the rate of change between Wednesday and Thursday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{30 boxes - 34 boxes}{1 day}\n = \\frac{-4 boxes}{1 day}\n = -4 boxes per day\nThe rate of change between Wednesday and Thursday was - 4 boxes per day.", "answer": "-4", "table": "**Boxes of Girl Scout cookies sold**\n\n| Day | Boxes of cookies |\n| --- | --- |\n| Tuesday | 39 |\n| Wednesday | 34 |\n| Thursday | 30 |\n| Friday | 23 |\n| Saturday | 37 |" } ] }, { "id": "27635", "image": "27635.png", "conversations": [ { "from": "human", "question": "How much more does a jade bracelet cost than a sapphire ring?\n" }, { "from": "gpt", "solution": "Subtract the price of a sapphire ring from the price of a jade bracelet.\n\n$970 - $827 = $143\n\nA jade bracelet costs $143 more than a sapphire ring.", "answer": "143", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| jade bracelet | $970 |\n| sapphire ring | $827 |\n| gold necklace | $378 |\n| emerald ring | $558 |\n| diamond pendant | $751 |\n| silver necklace | $384 |" } ] }, { "id": "27637", "image": "27637.png", "conversations": [ { "from": "human", "question": "The architecture student counted the number of bricks in each building in her neighborhood. How many buildings have fewer than 94 bricks?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1, 2, 3, 4, 5, 6, 7, and 8.\n\nIn the row with stem 9, count all the leaves less than 4.\n\nYou counted 18 leaves, which are blue in the stem-and-leaf plots above. 18 buildings have fewer than 94 bricks.", "answer": "18", "table": "**Bricks per building**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 6 |\n| 2 | 0, 1, 1, 3, 6 |\n| 3 | 1, 3, 4, 9 |\n| 4 | 0, 7, 8 |\n| 5 | 3, 5 |\n| 6 | |\n| 7 | 6 |\n| 8 | 6 |\n| 9 | 0 |" } ] }, { "id": "27649", "image": "27649.png", "conversations": [ { "from": "human", "question": "Chloe recalled how many goals she had made in soccer practice each day. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 9, 8, 8, 9\n\nFirst, arrange the numbers from least to greatest:\n\n8, 8, 9, 9, 9\n\nNow count how many times each number appears.\n\n8 appears 2 times.\n9 appears 3 times.\n\nThe number that appears most often is 9.\n\nThe mode is 9.", "answer": "9", "table": "**Goals made**\n\n| Day | Number of goals |\n| --- | --- |\n| Tuesday | 9 |\n| Wednesday | 9 |\n| Thursday | 8 |\n| Friday | 8 |\n| Saturday | 9 |" } ] }, { "id": "27654", "image": "27654.png", "conversations": [ { "from": "human", "question": "An actor was informed how many fan letters he received each day. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n94, 98, 94, 96, 97, 97\n\nFirst, count how many numbers are in the group.\n\nThere are 6 numbers.\n\nNow add all the numbers together:\n\n94 + 98 + 94 + 96 + 97 + 97 = 576\n\nNow divide the sum by the number of numbers:\n\n576 ÷ 6 = 96\n\nThe mean is 96.", "answer": "96", "table": "**Fan letters received**\n\n| Day | Number of fan letters |\n| --- | --- |\n| Monday | 94 |\n| Tuesday | 98 |\n| Wednesday | 94 |\n| Thursday | 96 |\n| Friday | 97 |\n| Saturday | 97 |" } ] }, { "id": "27658", "image": "27658.png", "conversations": [ { "from": "human", "question": "At a science museum, visitors can compete to see who has a faster reaction time. Competitors watch a red screen, and the moment they see it turn from red to green, they push a button. The machine records their reaction times and also asks competitors to report their gender. What is the probability that a randomly selected competitor reacted in 0.3 to 0.7 seconds and was female? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the competitor reacted in 0.3 to 0.7 seconds\" and B be the event \"the competitor was female\".\nTo find the probability that a competitor reacted in 0.3 to 0.7 seconds and was female, first identify the sample space and the event.\nThe outcomes in the sample space are the different competitors. Each competitor is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the competitor reacted in 0.3 to 0.7 seconds and was female\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the competitor reacted in 0.3 to 0.7 seconds and was female\", so look at the table to see how many competitors reacted in 0.3 to 0.7 seconds and were female.\nThe number of competitors who reacted in 0.3 to 0.7 seconds and were female is 5.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of competitors.\n3 + 5 + 4 + 5 = 17\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{5}{17}\nThe probability that a competitor reacted in 0.3 to 0.7 seconds and was female is \\frac{5}{17}.", "answer": "5/17", "table": "| | Male | Female |\n| --- | --- | --- |\n| Less than 0.3 seconds | 3 | 4 |\n| 0.3 to 0.7 seconds | 5 | 5 |" } ] }, { "id": "27661", "image": "27661.png", "conversations": [ { "from": "human", "question": "A race car driver kept track of how many laps he drove in the past 4 days. On which day did the driver do the most laps?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 59.\n\nNow find the corresponding day. Saturday corresponds to 59.", "answer": "Saturday", "table": "**Laps driven**\n\n| Day | Number of laps |\n| --- | --- |\n| Thursday | 57 |\n| Friday | 52 |\n| Saturday | 59 |\n| Sunday | 56 |" } ] }, { "id": "27670", "image": "27670.png", "conversations": [ { "from": "human", "question": "How much more does a book about Antarctica cost than a book about baseball?\n" }, { "from": "gpt", "solution": "Subtract the price of a book about baseball from the price of a book about Antarctica.\n\n$23.00 - $14.00 = $9.00\n\nA book about Antarctica costs $9.00 more than a book about baseball.", "answer": "9", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| book about cats | $21.00 |\n| book about soccer | $22.00 |\n| book about Antarctica | $23.00 |\n| book about baseball | $14.00 |\n| book about Australia | $21.00 |" } ] }, { "id": "27672", "image": "27672.png", "conversations": [ { "from": "human", "question": "Caleb's P.E. class participated in a push-up competition, and Caleb wrote down how many push-ups each person could do. What is the smallest number of push-ups done?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 1.\n\nNow find the lowest leaf in the first row. The lowest leaf is 7.\n\nThe smallest number of push-ups done has a stem of 1 and a leaf of 7. Write the stem first, then the leaf: 17.\n\nThe smallest number of push-ups done is 17 push-ups.", "answer": "17", "table": "**Push-up competition (number of push-ups)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 7 |\n| 2 | 4 |\n| 3 | |\n| 4 | |\n| 5 | 7 |\n| 6 | 1, 7 |\n| 7 | 7 |\n| 8 | 0, 5, 5, 9 |" } ] }, { "id": "27679", "image": "27679.png", "conversations": [ { "from": "human", "question": "Maura's class recorded how many cans of food each student collected for their canned food drive. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n52, 56, 55, 56, 54, 55, 55\n\nFirst, arrange the numbers from least to greatest:\n\n52, 54, 55, 55, 55, 56, 56\n\nNow find the number in the middle.\n\n52, 54, 55, 55, 55, 56, 56\n\nThe number in the middle is 55.\n\nThe median is 55.", "answer": "55", "table": "**Cans of food collected**\n\n| Name | Number of cans of food |\n| --- | --- |\n| Maura | 52 |\n| Clarence | 56 |\n| Lena | 55 |\n| Rosa | 56 |\n| Deb | 54 |\n| Bryant | 55 |\n| Paul | 55 |" } ] }, { "id": "27681", "image": "27681.png", "conversations": [ { "from": "human", "question": "The students in Mr. Dickerson's class recorded the number of siblings that each has. How many students in the class do not have any siblings?\n" }, { "from": "gpt", "solution": "Find the row for 0 siblings and read the frequency. The frequency is 12.\n\n12 students in the class do not have any siblings.", "answer": "12", "table": "**Siblings**\n\n| Number of siblings | Frequency |\n| --- | --- |\n| 0 | 12 |\n| 1 | 18 |\n| 2 | 7 |\n| 3 | 9 |\n| 4 | 10 |" } ] }, { "id": "27689", "image": "27689.png", "conversations": [ { "from": "human", "question": "The teachers at an elementary school counted how many desks they had in their classrooms. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n10, 10, 12, 14, 14, 12, 10, 10\n\nFirst, arrange the numbers from least to greatest:\n\n10, 10, 10, 10, 12, 12, 14, 14\n\nNow count how many times each number appears.\n\n10 appears 4 times.\n12 appears 2 times.\n14 appears 2 times.\n\nThe number that appears most often is 10.\n\nThe mode is 10.", "answer": "10", "table": "**Desks in classrooms**\n\n| Teacher | Number of desks |\n| --- | --- |\n| Mrs. Jensen | 10 |\n| Mrs. Wong | 10 |\n| Mr. Mehta | 12 |\n| Miss Petit | 14 |\n| Mr. Gruber | 14 |\n| Miss Jimenez | 12 |\n| Miss Gupta | 10 |\n| Ms. Peters | 10 |" } ] }, { "id": "27691", "image": "27691.png", "conversations": [ { "from": "human", "question": "At their family reunion, the Lee family recorded everyone's age. What is the age of the youngest person?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 4.\n\nNow find the lowest leaf in the first row. The lowest leaf is 7.\n\nThe age of the youngest person has a stem of 4 and a leaf of 7. Write the stem first, then the leaf: 47.\n\nThe age of the youngest person is 47 years old.", "answer": "47", "table": "**Ages**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 7, 8 |\n| 5 | 0, 2, 3, 7 |\n| 6 | 3, 6, 7, 8 |\n| 7 | |\n| 8 | |\n| 9 | 0 |" } ] }, { "id": "27692", "image": "27692.png", "conversations": [ { "from": "human", "question": "A crayon factory monitored the number of broken crayons per box during the past day. How many boxes had at least 60 broken crayons but fewer than 100 broken crayons?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 6, 7, 8, and 9.\n\nYou counted 12 leaves, which are blue in the stem-and-leaf plot above. 12 boxes had at least 60 broken crayons but fewer than 100 broken crayons.", "answer": "12", "table": "**Broken crayons per box**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 2, 3, 7, 8 |\n| 3 | 0 |\n| 4 | 0, 4 |\n| 5 | 1, 2, 2, 5, 9, 9 |\n| 6 | 1, 2, 6 |\n| 7 | 0, 2, 4, 7 |\n| 8 | 0, 1, 3, 9 |\n| 9 | 0 |" } ] }, { "id": "27697", "image": "27697.png", "conversations": [ { "from": "human", "question": "Scott has $31.00. Does he have enough to buy a pair of khaki pants and a pair of jeans?\n" }, { "from": "gpt", "solution": "Add the price of a pair of khaki pants and the price of a pair of jeans:\n\n$13.00 + $19.00 = $32.00\n\n$32.00 is more than $31.00. Scott does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pair of shorts | $18.00 |\n| pair of khaki pants | $13.00 |\n| winter jacket | $29.00 |\n| pair of jeans | $19.00 |" } ] }, { "id": "27698", "image": "27698.png", "conversations": [ { "from": "human", "question": "A marketing research firm asked people how many times they visited the mall last month. How many people are there in all?\n" }, { "from": "gpt", "solution": "Add the frequencies for each row.\n\nAdd:\n\n7 + 2 + 10 + 18 + 1 = 38\n\nThere are 38 people in all.", "answer": "38", "table": "**Trips to the mall last month**\n\n| Number of trips | Frequency |\n| --- | --- |\n| 0 | 7 |\n| 1 | 2 |\n| 2 | 10 |\n| 3 | 18 |\n| 4 | 1 |" } ] }, { "id": "27699", "image": "27699.png", "conversations": [ { "from": "human", "question": "How much money does Johnny need to buy a fleece blanket, a navy blue bath mat, and a quilt?\n" }, { "from": "gpt", "solution": "Find the total cost of a fleece blanket, a navy blue bath mat, and a quilt.\n\n$12.62 + $16.61 + $10.38 = $39.61\n\nJohnny needs $39.61.", "answer": "39.61", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| beach towel | $12.61 |\n| navy blue bath mat | $16.61 |\n| quilt | $10.38 |\n| fleece blanket | $12.62 |" } ] }, { "id": "27704", "image": "27704.png", "conversations": [ { "from": "human", "question": "Some students compared how many pets they have. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 2, 6, 1, 2, 1, 4, 10\n\nFirst, count how many numbers are in the group.\n\nThere are 8 numbers.\n\nNow add all the numbers together:\n\n6 + 2 + 6 + 1 + 2 + 1 + 4 + 10 = 32\n\nNow divide the sum by the number of numbers:\n\n32 ÷ 8 = 4\n\nThe mean is 4.", "answer": "4", "table": "**Pets**\n\n| Name | Number of pets |\n| --- | --- |\n| Savannah | 6 |\n| Cameron | 2 |\n| Jayce | 6 |\n| Warren | 1 |\n| Owen | 2 |\n| Kiera | 1 |\n| Tisha | 4 |\n| Edgar | 10 |" } ] }, { "id": "27706", "image": "27706.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which event begins at 12.50 P.M.?\n" }, { "from": "gpt", "solution": "Find 12:50 P. M. on the schedule. The relay race begins at 12:50 P. M.", "answer": "relay race", "table": "**Field day schedule**\n\n| Event | Begin | End |\n| --- | --- | --- |\n| three-legged race | 9:15 A.M. | 9:25 A.M. |\n| balloon stomp | 9:35 A.M. | 10:30 A.M. |\n| jump rope race | 10:35 A.M. | 11:15 A.M. |\n| water balloon toss | 11:25 A.M. | 12:00 P.M. |\n| obstacle course | 12:15 P.M. | 12:40 P.M. |\n| relay race | 12:50 P.M. | 1:05 P.M. |\n| bean bag toss | 1:10 P.M. | 1:25 P.M. |\n| hula hoop contest | 1:30 P.M. | 2:10 P.M. |\n| hurdles | 2:15 P.M. | 2:25 P.M. |\n| tug-of-war | 2:30 P.M. | 3:20 P.M. |" } ] }, { "id": "27709", "image": "27709.png", "conversations": [ { "from": "human", "question": "The librarian at the public library counted the number of books on each shelf. How many shelves have fewer than 80 books?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 6 and 7.\n\nYou counted 9 leaves, which are blue in the stem-and-leaf plot above. 9 shelves have fewer than 80 books.", "answer": "9", "table": "**Books per shelf**\n\n| Stem | Leaf |\n| --- | --- |\n| 6 | 3, 6, 7, 8, 8 |\n| 7 | 2, 2, 6, 8 |\n| 8 | 2, 2, 3, 5, 9 |\n| 9 | 0 |" } ] }, { "id": "27712", "image": "27712.png", "conversations": [ { "from": "human", "question": "Every year Princeton has a citywide relay and reports the winning times. According to the table, what was the rate of change between 2010 and 2011?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{34 minutes - 40 minutes}{2011 - 2010}\n = \\frac{34 minutes - 40 minutes}{1 year}\n = \\frac{-6 minutes}{1 year}\n = -6 minutes per year\nThe rate of change between 2010 and 2011 was - 6 minutes per year.", "answer": "-6", "table": "**Winning relay times**\n\n| Year | Winning time (minutes) |\n| --- | --- |\n| 2009 | 32 |\n| 2010 | 40 |\n| 2011 | 34 |\n| 2012 | 23 |\n| 2013 | 25 |" } ] }, { "id": "27721", "image": "27721.png", "conversations": [ { "from": "human", "question": "Brenda has $73. Does she have enough to buy a soup pot and a cookbook?\n" }, { "from": "gpt", "solution": "Add the price of a soup pot and the price of a cookbook:\n\n$59 + $16 = $75\n\n$75 is more than $73. Brenda does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| cookie jar | $13 |\n| cookbook | $16 |\n| rolling pin | $11 |\n| soup pot | $59 |" } ] }, { "id": "27722", "image": "27722.png", "conversations": [ { "from": "human", "question": "For the annual class picnic, each student voted for his or her favorite meal. How many fifth graders chose hot dogs?\n" }, { "from": "gpt", "solution": "First, find the row for hot dogs. Then find the number in the Fifth graders column.\n\nThis number is 13. 13 fifth graders chose hot dogs.", "answer": "13", "table": "**Lunch choices**\n\n| Lunch | Fourth graders | Fifth graders |\n| --- | --- | --- |\n| Hot dogs | 15 | 13 |\n| Meatloaf | 5 | 3 |\n| Hamburgers | 17 | 16 |\n| Egg salad | 19 | 4 |\n| Spaghetti | 10 | 18 |" } ] }, { "id": "27732", "image": "27732.png", "conversations": [ { "from": "human", "question": "Some teachers compared how many years they have been teaching. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n16, 19, 20, 16, 20, 19, 19\n\nFirst, arrange the numbers from least to greatest:\n\n16, 16, 19, 19, 19, 20, 20\n\nNow count how many times each number appears.\n\n16 appears 2 times.\n19 appears 3 times.\n20 appears 2 times.\n\nThe number that appears most often is 19.\n\nThe mode is 19.", "answer": "19", "table": "**Years of teaching**\n\n| Teacher | Number of years |\n| --- | --- |\n| Miss Torres | 16 |\n| Ms. Yamamoto | 19 |\n| Mr. Nakamura | 20 |\n| Mr. Park | 16 |\n| Miss Watson | 20 |\n| Ms. Chan | 19 |\n| Mr. Gutierrez | 19 |" } ] }, { "id": "27734", "image": "27734.png", "conversations": [ { "from": "human", "question": "The board of commerce gave a survey to determine how many employees work at each company. How many employees work at Township Real Estate and Wakefield and Watson combined?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nTownship Real Estate: 665\nWakefield and Watson: 214\n\nNow add: 665 + 214 = 879.\n\n879 employees work at Township Real Estate and Wakefield and Watson combined.", "answer": "879", "table": "**Company sizes**\n\n| Company | Number of employees |\n| --- | --- |\n| Township Real Estate | 665 |\n| Wakefield and Watson | 214 |\n| Country Bakery | 168 |\n| Smith Electronics | 185 |" } ] }, { "id": "27736", "image": "27736.png", "conversations": [ { "from": "human", "question": "For a social studies project, Nina counted the number of classrooms in each school in the city. How many schools have exactly 97 classrooms?\n" }, { "from": "gpt", "solution": "For the number 97, the stem is 9, and the leaf is 7. Find the row where the stem is 9. In that row, count all the leaves equal to 7.\n\nYou counted 0 leaves. 0 schools have exactly 97 classrooms.", "answer": "0", "table": "**Classrooms per school**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 1, 6, 8 |\n| 5 | 1, 3 |\n| 6 | 3, 6 |\n| 7 | 0, 1 |\n| 8 | 1, 7 |\n| 9 | 0 |" } ] }, { "id": "27741", "image": "27741.png", "conversations": [ { "from": "human", "question": "Mandy counted the total number of shells collected by her friends during a walk on the beach. How many people are there in all?\n" }, { "from": "gpt", "solution": "Add the frequencies for each row.\n\nAdd:\n\n5 + 16 + 7 + 15 + 6 = 49\n\nThere are 49 people in all.", "answer": "49", "table": "**Finding seashells**\n\n| Seashells found | Frequency |\n| --- | --- |\n| 0 | 5 |\n| 1 | 16 |\n| 2 | 7 |\n| 3 | 15 |\n| 4 | 6 |" } ] }, { "id": "27749", "image": "27749.png", "conversations": [ { "from": "human", "question": "How much money does Suzie need to buy 9 globe key chains and 3 puppy key chains?\n" }, { "from": "gpt", "solution": "Find the cost of 9 globe key chains.\n\n$0.78 × 9 = $7.02\n\nFind the cost of 3 puppy key chains.\n\n$0.97 × 3 = $2.91\n\nNow find the total cost.\n\n$7.02 + $2.91 = $9.93\n\nSuzie needs $9.93.", "answer": "9.93", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| globe key chain | $0.78 |\n| football helmet key chain | $0.76 |\n| basketball key chain | $0.77 |\n| puppy key chain | $0.97 |\n| alligator key chain | $0.78 |\n| duck key chain | $0.54 |" } ] }, { "id": "27758", "image": "27758.png", "conversations": [ { "from": "human", "question": "If Maureen buys 2 kilograms of unsweetened applesauce and 3 kilograms of raspberry applesauce, how much will she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the unsweetened applesauce. Multiply:\n\n$2.42 × 2 = $4.84\n\nFind the cost of the raspberry applesauce. Multiply:\n\n$1.61 × 3 = $4.83\n\nNow find the total cost by adding:\n\n$4.84 + $4.83 = $9.67\n\nShe will spend $9.67.", "answer": "9.67", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| blueberry applesauce | $2.54/kg |\n| raspberry applesauce | $1.61/kg |\n| unsweetened applesauce | $2.42/kg |\n| cranberry applesauce | $2.43/kg |\n| strawberry applesauce | $1.07/kg |" } ] }, { "id": "27761", "image": "27761.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $790, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $790, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $620 | 14,000 | 2,600 |\n| $790 | 11,100 | 5,000 |\n| $960 | 8,200 | 7,400 |\n| $1,130 | 5,300 | 9,800 |\n| $1,300 | 2,400 | 12,200 |" } ] }, { "id": "27763", "image": "27763.png", "conversations": [ { "from": "human", "question": "A cable company analyst paid attention to how many new customers it had each day. On which day did the cable company have the fewest new customers?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 71.\n\nNow find the corresponding day. Friday corresponds to 71.", "answer": "Friday", "table": "**New cable customers**\n\n| Day | Number of new customers |\n| --- | --- |\n| Wednesday | 79 |\n| Thursday | 72 |\n| Friday | 71 |\n| Saturday | 75 |" } ] }, { "id": "27767", "image": "27767.png", "conversations": [ { "from": "human", "question": "Audrey's classmates revealed how many science articles they read. Who read the fewest science articles?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 90.\n\nNow find the corresponding name. Patrick corresponds to 90.", "answer": "Patrick", "table": "**Science articles read**\n\n| Name | Number of science articles |\n| --- | --- |\n| Audrey | 96 |\n| Sarah | 98 |\n| Patrick | 90 |\n| Maya | 92 |" } ] }, { "id": "27768", "image": "27768.png", "conversations": [ { "from": "human", "question": "How much money does Hunter need to buy 6 dog calendars?\n" }, { "from": "gpt", "solution": "Find the total cost of 6 dog calendars by multiplying 6 times the price of a dog calendar.\n\n$6.86 × 6 = $41.16\n\nHunter needs $41.16.", "answer": "41.16", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| dog calendar | $6.86 |\n| book of brainteasers | $2.79 |\n| cookbook | $8.75 |\n| map of Africa | $5.38 |" } ] }, { "id": "27776", "image": "27776.png", "conversations": [ { "from": "human", "question": "How much more does a bottle of sunscreen cost than a box of bandages?\n" }, { "from": "gpt", "solution": "Subtract the price of a box of bandages from the price of a bottle of sunscreen.\n\n$3.96 - $2.01 = $1.95\n\nA bottle of sunscreen costs $1.95 more than a box of bandages.", "answer": "1.95", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| box of bandages | $2.01 |\n| bottle of hand lotion | $5.83 |\n| toothbrush | $1.55 |\n| hairbrush | $4.05 |\n| bottle of sunscreen | $3.96 |" } ] }, { "id": "27777", "image": "27777.png", "conversations": [ { "from": "human", "question": "Darnel's P.E. class participated in a push-up competition, and Darnel wrote down how many push-ups each person could do. How many people did fewer than 90 push-ups?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1, 2, 3, 4, 5, 6, 7, and 8.\n\nYou counted 23 leaves, which are blue in the stem-and-leaf plot above. 23 people did fewer than 90 push-ups.", "answer": "23", "table": "**Push-up competition (number of push-ups)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 5, 9 |\n| 2 | 6, 7, 7, 9 |\n| 3 | 0, 1, 2, 6, 8 |\n| 4 | 1, 9 |\n| 5 | 0, 7 |\n| 6 | 0, 6, 7, 9, 9 |\n| 7 | |\n| 8 | 4, 8 |" } ] }, { "id": "27782", "image": "27782.png", "conversations": [ { "from": "human", "question": "This is Duncan's complete financial record for July. On July 5, how much money did Duncan make?\n" }, { "from": "gpt", "solution": "Look at the 7/5 row. The amount received was $15.00. So, Duncan made $15.00 on July 5.\n", "answer": "15", "table": "| Date | Description | Received | Expenses | Available Funds |\n| --- | --- | --- | --- | --- |\n| | Balance: end of June | | | $450.70 |\n| 7/5 | cleaning the Goodmans' pool | $15.00 | | $465.70 |\n| 7/17 | bottle of water | | $1.50 | $464.20 |\n| 7/29 | swim trunks | | $16.80 | $447.40 |" } ] }, { "id": "27787", "image": "27787.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Myra is at Snowy Mountain. If she wants to arrive at Chickenville at 12.15 P.M., what time should she get on the train?\n" }, { "from": "gpt", "solution": "Look at the row for Chickenville. Find the train that arrives at Chickenville at 12:15 P. M.\n\nLook up the column until you find the row for Snowy Mountain.\n\nMyra should get on the train at 10:45 A. M.", "answer": "10:45 A.M.", "table": "**Train schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 | Column 5 |\n| --- | --- | --- | --- | --- |\n| Skyscraper City | 7:15 A.M. | 10:15 A.M. | 11:45 A.M. | 5:30 P.M. |\n| Snowy Mountain | 7:45 A.M. | 10:45 A.M. | 12:15 P.M. | 6:00 P.M. |\n| Comfy Pillows Resort | 8:15 A.M. | 11:15 A.M. | 12:45 P.M. | 6:30 P.M. |\n| Chickenville | 9:15 A.M. | 12:15 P.M. | 1:45 P.M. | 7:30 P.M. |\n| City of Green Trees | 9:45 A.M. | 12:45 P.M. | 2:15 P.M. | 8:00 P.M. |\n| Rollercoaster Land | 10:15 A.M. | 1:15 P.M. | 2:45 P.M. | 8:30 P.M. |\n| Pleasant River Campground | 11:15 A.M. | 2:15 P.M. | 3:45 P.M. | 9:30 P.M. |\n| Magician Village | 12:15 P.M. | 3:15 P.M. | 4:45 P.M. | 10:30 P.M. |\n| Gecko Paradise | 1:15 P.M. | 4:15 P.M. | 5:45 P.M. | 11:30 P.M. |" } ] }, { "id": "27791", "image": "27791.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{4 - 8}{8 - 7}\n = \\frac{-4}{1}\n = -4\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{0 - 4}{9 - 8}\n = \\frac{-4}{1}\n = -4\nThe two rates of change are the same.\n4.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 7 | 8 |\n| 8 | 4 |\n| 9 | 0 |" } ] }, { "id": "27797", "image": "27797.png", "conversations": [ { "from": "human", "question": "Francesca owns a used car dealership. The frequency chart shows the cars she has in stock. How many cars does Francesca have in stock?\n" }, { "from": "gpt", "solution": "The frequencies tell you how many cars of each color Francesca has in stock. To find how many cars she has in stock, add up all the frequencies.\n13 + 14 + 5 + 23 = 55\nFrancesca has 55 cars in stock.", "answer": "55", "table": "**Cars in stock**\n\n| Color | Frequency |\n| --- | --- |\n| white | 13 |\n| black | 14 |\n| red | 5 |\n| silver | 23 |" } ] }, { "id": "27800", "image": "27800.png", "conversations": [ { "from": "human", "question": "Becky has $0.06. Does she have enough to buy a flat-head bolt and an elastic band?\n" }, { "from": "gpt", "solution": "Add the price of a flat-head bolt and the price of an elastic band:\n\n$0.03 + $0.03 = $0.06\n\nSince Becky has $0.06, she has just enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| gold tack | $0.04 |\n| small metal hook | $0.05 |\n| elastic band | $0.03 |\n| four-inch nail | $0.06 |\n| red thumbtack | $0.02 |\n| flat-head bolt | $0.03 |" } ] }, { "id": "27806", "image": "27806.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Brandon got on the boat at Starfish Point at 8.15 A.M. What time will he get to Surfing Beach?\n" }, { "from": "gpt", "solution": "Find 8:15 A. M. in the row for Starfish Point. That column shows the schedule for the boat that Brandon is on.\n\nLook down the column until you find the row for Surfing Beach.\n\nBrandon will get to Surfing Beach at 2:45 P. M.", "answer": "2:45 P.M.", "table": "**Tour boat schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 | Column 5 |\n| --- | --- | --- | --- | --- |\n| Starfish Point | 7:45 A.M. | 8:15 A.M. | 9:00 A.M. | 9:15 A.M. |\n| Oyster Lighthouse | 8:00 A.M. | 8:30 A.M. | 9:15 A.M. | 9:30 A.M. |\n| Lobster Pier | 9:30 A.M. | 10:00 A.M. | 10:45 A.M. | 11:00 A.M. |\n| Sea Lion Docks | 9:45 A.M. | 10:15 A.M. | 11:00 A.M. | 11:15 A.M. |\n| Rocky Cliffs | 10:00 A.M. | 10:30 A.M. | 11:15 A.M. | 11:30 A.M. |\n| Palm Tree Island | 11:30 A.M. | 12:00 P.M. | 12:45 P.M. | 1:00 P.M. |\n| The Boardwalk | 12:00 P.M. | 12:30 P.M. | 1:15 P.M. | 1:30 P.M. |\n| Kite Coast | 1:15 P.M. | 1:45 P.M. | 2:30 P.M. | 2:45 P.M. |\n| Surfing Beach | 2:15 P.M. | 2:45 P.M. | 3:30 P.M. | 3:45 P.M. |" } ] }, { "id": "27811", "image": "27811.png", "conversations": [ { "from": "human", "question": "The Oakdale Art Museum recorded how many finger puppets the children made at last Sunday's art workshop. How many children made at least 2 finger puppets?\n" }, { "from": "gpt", "solution": "Find the rows for 2 and 3 finger puppets. Add the frequencies for these rows.\n\nAdd:\n\n20 + 10 = 30\n\n30 children made at least 2 finger puppets.", "answer": "30", "table": "**Making finger puppets**\n\n| Finger puppets made | Frequency |\n| --- | --- |\n| 0 | 16 |\n| 1 | 12 |\n| 2 | 20 |\n| 3 | 10 |" } ] }, { "id": "27816", "image": "27816.png", "conversations": [ { "from": "human", "question": "Some friends compared the sizes of their stuffed animal collections. Who has the most stuffed animals?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 364.\n\nNow find the corresponding name. Florence corresponds to 364.", "answer": "Florence", "table": "**Stuffed animal collections**\n\n| Name | Number of stuffed animals |\n| --- | --- |\n| Ernest | 363 |\n| Colette | 334 |\n| Dave | 346 |\n| Florence | 364 |" } ] }, { "id": "27817", "image": "27817.png", "conversations": [ { "from": "human", "question": "The manager of a party supply store researched how many balloons it sold in the past 6 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 10, 8, 10, 9, 10\n\nFirst, find the greatest number. The greatest number is 10.\n\nNext, find the least number. The least number is 8.\n\nSubtract the least number from the greatest number:\n\n10 − 8 = 2\n\nThe range is 2.", "answer": "2", "table": "**Balloons sold**\n\n| Day | Number of balloons |\n| --- | --- |\n| Saturday | 9 |\n| Sunday | 10 |\n| Monday | 8 |\n| Tuesday | 10 |\n| Wednesday | 9 |\n| Thursday | 10 |" } ] }, { "id": "27822", "image": "27822.png", "conversations": [ { "from": "human", "question": "What is the total cost for 5 pounds of peanut butter and 3 pounds of sunflower seed butter?\n" }, { "from": "gpt", "solution": "Find the cost of the peanut butter. Multiply:\n\n$5 × 5 = $25\n\nFind the cost of the sunflower seed butter. Multiply:\n\n$4 × 3 = $12\n\nNow find the total cost by adding:\n\n$25 + $12 = $37\n\nThe total cost is $37.", "answer": "37", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| macadamia nut butter | $5 per pound |\n| peanut butter | $5 per pound |\n| sunflower seed butter | $4 per pound |\n| almond butter | $6 per pound |\n| cashew butter | $5 per pound |" } ] }, { "id": "27830", "image": "27830.png", "conversations": [ { "from": "human", "question": "How much money does Zoe need to buy a yellow dress and a pair of boots?\n" }, { "from": "gpt", "solution": "Add the price of a yellow dress and the price of a pair of boots:\n\n$13.68 + $13.13 = $26.81\n\nZoe needs $26.81.", "answer": "26.81", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pair of boots | $13.13 |\n| black skirt | $18.95 |\n| pair of sweat pants | $10.66 |\n| yellow dress | $13.68 |" } ] }, { "id": "27848", "image": "27848.png", "conversations": [ { "from": "human", "question": "How much money does Connor need to buy a piece of rose quartz, a piece of green slate, and a piece of red sandstone?\n" }, { "from": "gpt", "solution": "Find the total cost of a piece of rose quartz, a piece of green slate, and a piece of red sandstone.\n\n$0.61 + $0.59 + $0.19 = $1.39\n\nConnor needs $1.39.", "answer": "1.39", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| yellow tiger's eye | $0.85 |\n| piece of green slate | $0.59 |\n| piece of red sandstone | $0.19 |\n| piece of rose quartz | $0.61 |\n| smooth piece of marble | $0.45 |" } ] }, { "id": "27850", "image": "27850.png", "conversations": [ { "from": "human", "question": "How much more does a hedgehog cost than a finch?\n" }, { "from": "gpt", "solution": "Subtract the price of a finch from the price of a hedgehog.\n\n$82.06 - $32.28 = $49.78\n\nA hedgehog costs $49.78 more than a finch.", "answer": "49.78", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| chameleon | $95.45 |\n| chinchilla | $16.65 |\n| finch | $32.28 |\n| hedgehog | $82.06 |\n| king snake | $81.56 |" } ] }, { "id": "27854", "image": "27854.png", "conversations": [ { "from": "human", "question": "Tucker kept a driving log to see how many miles he drove each day. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n59, 50, 49, 60, 47\n\nFirst, arrange the numbers from least to greatest:\n\n47, 49, 50, 59, 60\n\nNow find the number in the middle.\n\n47, 49, 50, 59, 60\n\nThe number in the middle is 50.\n\nThe median is 50.", "answer": "50", "table": "**Miles driven**\n\n| Day | Number of miles |\n| --- | --- |\n| Friday | 59 |\n| Saturday | 50 |\n| Sunday | 49 |\n| Monday | 60 |\n| Tuesday | 47 |" } ] }, { "id": "27859", "image": "27859.png", "conversations": [ { "from": "human", "question": "Omar, who has four different fruit trees growing in his yard, kept track of how many pieces of fruit he picked this year. What fraction of the pieces of fruit picked were oranges? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many oranges were picked.\n\n15\n\nFind how many pieces of fruit were picked in total.\n\n15 + 27 + 63 + 87 = 192\n\nDivide 15 by192.\n\n\\frac{15}{192}\n\nReduce the fraction.\n\n\\frac{15}{192} → \\frac{5}{64}\n\n\\frac{5}{64} of oranges were picked.", "answer": "5/64", "table": "**Pieces of fruit picked**\n\n| Fruits | Pieces of fruit |\n| --- | --- |\n| Oranges | 15 |\n| Persimmons | 27 |\n| Nectarines | 63 |\n| Apricots | 87 |" } ] }, { "id": "27861", "image": "27861.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Abigail is at Palm Tree Island at 9.45 A.M. How soon can she get to Starfish Point?\n" }, { "from": "gpt", "solution": "Look at the row for Palm Tree Island. Find the next boat departing from Palm Tree Island after 9:45 A. M. This boat departs from Palm Tree Island at 10:00 A. M.\n\nLook down the column until you find the row for Starfish Point.\n\nAbigail will get to Starfish Point at 1:15 P. M.", "answer": "1:15 P.M.", "table": "**Tour boat schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 | Column 5 |\n| --- | --- | --- | --- | --- |\n| The Boardwalk | 8:30 A.M. | 9:00 A.M. | 9:30 A.M. | 9:45 A.M. |\n| Palm Tree Island | 9:00 A.M. | 9:30 A.M. | 10:00 A.M. | 10:15 A.M. |\n| Lobster Pier | 10:00 A.M. | 10:30 A.M. | 11:00 A.M. | 11:15 A.M. |\n| Sea Lion Docks | 11:00 A.M. | 11:30 A.M. | 12:00 P.M. | 12:15 P.M. |\n| Starfish Point | 12:15 P.M. | 12:45 P.M. | 1:15 P.M. | 1:30 P.M. |" } ] }, { "id": "27862", "image": "27862.png", "conversations": [ { "from": "human", "question": "Owen counted the number of words per page in his new book. How many pages have exactly 47 words?\n" }, { "from": "gpt", "solution": "For the number 47, the stem is 4, and the leaf is 7. Find the row where the stem is 4. In that row, count all the leaves equal to 7.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 pages have exactly 47 words.", "answer": "3", "table": "**Words per page**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 8 |\n| 4 | 7, 7, 7, 9 |\n| 5 | 1, 8 |\n| 6 | 0, 7 |" } ] }, { "id": "27865", "image": "27865.png", "conversations": [ { "from": "human", "question": "Jennifer has $1.50. Does she have enough to buy a box of staples and a bottle of glue?\n" }, { "from": "gpt", "solution": "Add the price of a box of staples and the price of a bottle of glue:\n\n$0.95 + $0.78 = $1.73\n\n$1.73 is more than $1.50. Jennifer does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| purple pen | $0.87 |\n| package of note cards | $0.72 |\n| pencil | $0.79 |\n| box of staples | $0.95 |\n| box of colored pencils | $0.77 |\n| bottle of glue | $0.78 |" } ] }, { "id": "27886", "image": "27886.png", "conversations": [ { "from": "human", "question": "A wilderness retail store asked a consulting company to do an analysis of their hiking shoe customers. The consulting company gathered data from each customer that purchased hiking shoes, and recorded the shoe brand and the customer's level of happiness. What is the probability that a randomly selected customer purchased a Toes Knows shoe and is displeased? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the customer purchased a Toes Knows shoe\" and B be the event \"the customer is displeased\".\nTo find the probability that a customer purchased a Toes Knows shoe and is displeased, first identify the sample space and the event.\nThe outcomes in the sample space are the different customers. Each customer is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the customer purchased a Toes Knows shoe and is displeased\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the customer purchased a Toes Knows shoe and is displeased\", so look at the table to see how many customers purchased a Toes Knows shoe and are displeased.\nThe number of customers who purchased a Toes Knows shoe and are displeased is 5.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of customers.\n5 + 5 + 2 + 3 = 15\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{5}{15}\n = \\frac{1}{3}\nThe probability that a customer purchased a Toes Knows shoe and is displeased is \\frac{1}{3}.", "answer": "1/3", "table": "| | Displeased | Pleased |\n| --- | --- | --- |\n| A Footlong shoe | 5 | 2 |\n| A Toes Knows shoe | 5 | 3 |" } ] }, { "id": "27888", "image": "27888.png", "conversations": [ { "from": "human", "question": "Devin kept track of the number of games his soccer team won each year. According to the table, what was the rate of change between 2006 and 2007?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{19 games - 24 games}{2007 - 2006}\n = \\frac{19 games - 24 games}{1 year}\n = \\frac{-5 games}{1 year}\n = -5 games per year\nThe rate of change between 2006 and 2007 was - 5 games per year.", "answer": "-5", "table": "**Games won by Devin's soccer team**\n\n| Year | Games won |\n| --- | --- |\n| 2006 | 24 |\n| 2007 | 19 |\n| 2008 | 26 |\n| 2009 | 18 |\n| 2010 | 26 |" } ] }, { "id": "27889", "image": "27889.png", "conversations": [ { "from": "human", "question": "The owner of a plant nursery wrote down the number of roses on each bush. How many bushes have exactly 45 roses?\n" }, { "from": "gpt", "solution": "For the number 45, the stem is 4, and the leaf is 5. Find the row where the stem is 4. In that row, count all the leaves equal to 5.\n\nYou counted 1 leaf, which is blue in the stem-and-leaf plot above. 1 bush has exactly 45 roses.", "answer": "1", "table": "**Roses per bush**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 8 |\n| 4 | 1, 5 |\n| 5 | 1, 9 |\n| 6 | 4, 8, 9 |\n| 7 | 1, 2, 2, 4, 9 |\n| 8 | 1, 1, 5 |" } ] }, { "id": "27892", "image": "27892.png", "conversations": [ { "from": "human", "question": "In a study on public parking, the director of transportation counted the number of cars in each of the city's parking lots. What is the largest number of cars?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 7.\n\nNow find the highest leaf in the last row. The highest leaf is 9.\n\nThe largest number of cars has a stem of 7 and a leaf of 9. Write the stem first, then the leaf: 79.\n\nThe largest number of cars is 79 cars.", "answer": "79", "table": "**Cars per parking lot**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 0, 3 |\n| 3 | 7 |\n| 4 | 1, 6, 9 |\n| 5 | 4, 4, 5 |\n| 6 | 2, 4 |\n| 7 | 2, 5, 5, 9 |" } ] }, { "id": "27905", "image": "27905.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{11 - 16}{2 - 1}\n = \\frac{-5}{1}\n = -5\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{6 - 11}{3 - 2}\n = \\frac{-5}{1}\n = -5\nThe two rates of change are the same.\n5.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 1 | 16 |\n| 2 | 11 |\n| 3 | 6 |" } ] }, { "id": "27906", "image": "27906.png", "conversations": [ { "from": "human", "question": "Beth has $1.50. Does she have enough to buy a can of pears and a can of green beans?\n" }, { "from": "gpt", "solution": "Add the price of a can of pears and the price of a can of green beans:\n\n$0.63 + $0.86 = $1.49\n\n$1.49 is less than $1.50. Beth does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| can of peaches | $0.61 |\n| can of green beans | $0.86 |\n| can of tuna fish | $0.52 |\n| can of soup | $0.92 |\n| can of pears | $0.63 |\n| can of fruit cocktail | $0.65 |" } ] }, { "id": "27910", "image": "27910.png", "conversations": [ { "from": "human", "question": "How much more does a small teddy bear cost than a wooden block?\n" }, { "from": "gpt", "solution": "Subtract the price of a wooden block from the price of a small teddy bear.\n\n$0.90 - $0.50 = $0.40\n\nA small teddy bear costs $0.40 more than a wooden block.", "answer": "0.40", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| wooden block | $0.50 |\n| small teddy bear | $0.90 |\n| yellow toy car | $0.46 |\n| plastic horse | $0.48 |\n| green bouncy ball | $0.40 |" } ] }, { "id": "27911", "image": "27911.png", "conversations": [ { "from": "human", "question": "Riley has $1,478.00. Does she have enough to buy a pair of designer boots and a designer skirt?\n" }, { "from": "gpt", "solution": "Add the price of a pair of designer boots and the price of a designer skirt:\n\n$938.00 + $585.00 = $1,523.00\n\n$1,523.00 is more than $1,478.00. Riley does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| designer scarf | $723.00 |\n| pair of designer boots | $938.00 |\n| pair of designer shoes | $603.00 |\n| designer skirt | $585.00 |\n| designer handbag | $674.00 |" } ] }, { "id": "27913", "image": "27913.png", "conversations": [ { "from": "human", "question": "The art club examined how many cookies each student baked for the bake sale. Who baked the most cookies?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 182.\n\nNow find the corresponding name. Jill corresponds to 182.", "answer": "Jill", "table": "**Cookies baked**\n\n| Name | Number of cookies |\n| --- | --- |\n| Roy | 138 |\n| Jill | 182 |\n| Shawn | 118 |\n| Gwen | 131 |" } ] }, { "id": "27917", "image": "27917.png", "conversations": [ { "from": "human", "question": "A concession stand worker at the movie theater looked up how many bags of popcorn were sold in the past 7 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 6, 0, 8, 4, 2, 3\n\nFirst, arrange the numbers from least to greatest:\n\n0, 2, 3, 4, 6, 6, 8\n\nNow find the number in the middle.\n\n0, 2, 3, 4, 6, 6, 8\n\nThe number in the middle is 4.\n\nThe median is 4.", "answer": "4", "table": "**Bags of popcorn sold**\n\n| Day | Number of bags of popcorn |\n| --- | --- |\n| Saturday | 6 |\n| Sunday | 6 |\n| Monday | 0 |\n| Tuesday | 8 |\n| Wednesday | 4 |\n| Thursday | 2 |\n| Friday | 3 |" } ] }, { "id": "27929", "image": "27929.png", "conversations": [ { "from": "human", "question": "Martha found out the sizes of all the clubs at her school. What is the size of the largest club?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 5.\n\nNow find the highest leaf in the last row. The highest leaf is 7.\n\nThe size of the largest club has a stem of 5 and a leaf of 7. Write the stem first, then the leaf: 57.\n\nThe size of the largest club is 57 members.", "answer": "57", "table": "**Club sizes (number of members)**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 3, 3, 5, 6, 8 |\n| 3 | 5, 6, 7 |\n| 4 | 0, 1, 4, 4, 7 |\n| 5 | 4, 5, 6, 7 |" } ] }, { "id": "27930", "image": "27930.png", "conversations": [ { "from": "human", "question": "A doctor's records revealed how many patients she saw each month. In which month did the doctor see the most patients?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 283.\n\nNow find the corresponding month. December corresponds to 283.", "answer": "December", "table": "**Patients seen**\n\n| Month | Number of patients |\n| --- | --- |\n| December | 283 |\n| January | 232 |\n| February | 228 |\n| March | 238 |" } ] }, { "id": "27932", "image": "27932.png", "conversations": [ { "from": "human", "question": "A pottery factory kept track of the number of broken plates per shipment last week. What is the largest number of broken plates?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 4.\n\nNow find the highest leaf in the last row. The highest leaf is 2.\n\nThe largest number of broken plates has a stem of 4 and a leaf of 2. Write the stem first, then the leaf: 42.\n\nThe largest number of broken plates is 42 broken plates.", "answer": "42", "table": "**Broken plates per shipment**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 1, 4, 5 |\n| 2 | 5 |\n| 3 | 0, 0, 2, 3, 4, 7 |\n| 4 | 2, 2 |" } ] }, { "id": "27935", "image": "27935.png", "conversations": [ { "from": "human", "question": "How much money does Kelly need to buy a train ticket to Boise and a train ticket to Seattle?\n" }, { "from": "gpt", "solution": "Add the price of a train ticket to Boise and the price of a train ticket to Seattle:\n\n$792.00 + $478.00 = $1,270.00\n\nKelly needs $1,270.00.", "answer": "1,270", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| train ticket to Baltimore | $380.00 |\n| train ticket to Seattle | $478.00 |\n| train ticket to Boise | $792.00 |\n| train ticket to San Francisco | $526.00 |\n| train ticket to Miami | $138.00 |" } ] }, { "id": "27936", "image": "27936.png", "conversations": [ { "from": "human", "question": "Isaac buys 1 pound of rye. What is the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the rye. Multiply the price per pound by the number of pounds.\n\n$2.84 × 1 = $2.84\n\nThe total cost is $2.84.", "answer": "2.84", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| oats | $1.39/lb |\n| couscous | $1.22/lb |\n| barley | $2.34/lb |\n| rye | $2.84/lb |\n| rice | $1.49/lb |" } ] }, { "id": "27944", "image": "27944.png", "conversations": [ { "from": "human", "question": "This morning, Mr. Davidson released the scores from last week's spelling test. How many students scored fewer than 80 points?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1, 2, 3, 4, 5, 6, and 7.\n\nYou counted 23 leaves, which are blue in the stem-and-leaf plot above. 23 students scored fewer than 80 points.", "answer": "23", "table": "**Spelling test scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 8 |\n| 2 | 6, 7, 7 |\n| 3 | 3, 3, 4, 4, 5, 6 |\n| 4 | 0, 3, 4 |\n| 5 | 1, 3, 3, 3, 8 |\n| 6 | 7, 7, 9 |\n| 7 | 4 |" } ] }, { "id": "27946", "image": "27946.png", "conversations": [ { "from": "human", "question": "How much money does Sidney need to buy a keyboard, a cello, and a piccolo?\n" }, { "from": "gpt", "solution": "Find the total cost of a keyboard, a cello, and a piccolo.\n\n$854 + $829 + $511 = $2,194\n\nSidney needs $2,194.", "answer": "2,194", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| piccolo | $511 |\n| cello | $829 |\n| keyboard | $854 |\n| cornet | $946 |\n| clarinet | $907 |" } ] }, { "id": "27947", "image": "27947.png", "conversations": [ { "from": "human", "question": "Each drawer has 10 pens. How many pens are in 4 drawers?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 40 pens in 4 drawers.", "answer": "40", "table": "| Number of drawers | Number of pens |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | ? |" } ] }, { "id": "27949", "image": "27949.png", "conversations": [ { "from": "human", "question": "Spencer is a pediatrics nurse who conducts the first neonatal exam on newborn patients. He makes note of the newborns' height, weight, eye color, and heart rate, among other things. What is the probability that a randomly selected baby has brown eyes and has a fast heart rate (>100 bpm)? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the baby has brown eyes\" and B be the event \"the baby has a fast heart rate (>100 bpm)\".\nTo find the probability that a baby has brown eyes and has a fast heart rate (>100 bpm), first identify the sample space and the event.\nThe outcomes in the sample space are the different babies. Each baby is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the baby has brown eyes and has a fast heart rate (>100 bpm)\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the baby has brown eyes and has a fast heart rate (>100 bpm)\", so look at the table to see how many babies have brown eyes and have a fast heart rate (>100 bpm).\nThe number of babies who have brown eyes and have a fast heart rate (>100 bpm) is 2.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of babies.\n6 + 3 + 2 + 4 = 15\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{2}{15}\nThe probability that a baby has brown eyes and has a fast heart rate (>100 bpm) is \\frac{2}{15}.", "answer": "2/15", "table": "| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| | Slow heart rate (<100 bpm) | Fast heart rate (>100 bpm) |\n| Brown eyes | 6 | 2 |\n| Blue eyes | 3 | 4 |" } ] }, { "id": "27959", "image": "27959.png", "conversations": [ { "from": "human", "question": "Several people compared how many Web pages they had visited. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n60, 65, 62, 63, 62\n\nFirst, find the greatest number. The greatest number is 65.\n\nNext, find the least number. The least number is 60.\n\nSubtract the least number from the greatest number:\n\n65 − 60 = 5\n\nThe range is 5.", "answer": "5", "table": "**Web pages visited**\n\n| Person | Number of Web pages |\n| --- | --- |\n| Jake | 60 |\n| Tessa | 65 |\n| Bill | 62 |\n| Megan | 63 |\n| Perry | 62 |" } ] }, { "id": "27966", "image": "27966.png", "conversations": [ { "from": "human", "question": "Emmy likes watching the show Engineering Marvels. In last night's episode, the engineering team visited a tall skyscraper and a deep mine. A banner at the bottom of the screen showed the elevation of each location the team visited. Which location is closer to sea level?\n" }, { "from": "gpt", "solution": "The top of the skyscraper has a positive elevation, so it is above sea level. The bottom of the mine has a negative elevation, so it is below sea level.\nTo find the location closer to sea level, use absolute value. Absolute value tells you how far each location is from sea level.\nTop of the skyscraper: |275| = 275\nBottom of the mine: |-260| = 260\nThe top of the skyscraper is 275 meters above sea level, but the bottom of the mine is only260 meters below sea level. The bottom of the mine is closer to sea level.", "answer": "bottom of the mine", "table": "| Location | Elevation (m) |\n| --- | --- |\n| Top of the skyscraper | 275 |\n| Bottom of the mine | -260 |" } ] }, { "id": "27967", "image": "27967.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does the shot put end?\n" }, { "from": "gpt", "solution": "Find the shot put on the schedule. Find the end time for the shot put.\n\nshot put: 12:05 P. M.", "answer": "12:05 P.M.", "table": "**Track meet schedule**\n\n| Event | Begin | End |\n| --- | --- | --- |\n| shot put | 11:05 A.M. | 12:05 P.M. |\n| women's relay | 12:15 P.M. | 1:15 P.M. |\n| pole vault | 1:25 P.M. | 1:55 P.M. |\n| 100-meter dash | 2:10 P.M. | 2:55 P.M. |\n| triple jump | 3:05 P.M. | 3:30 P.M. |\n| men's relay | 3:35 P.M. | 4:05 P.M. |" } ] }, { "id": "27970", "image": "27970.png", "conversations": [ { "from": "human", "question": "The employee at the department store counted the number of ties on each tie rack. How many racks have exactly 44 ties?\n" }, { "from": "gpt", "solution": "For the number 44, the stem is 4, and the leaf is 4. Find the row where the stem is 4. In that row, count all the leaves equal to 4.\n\nYou counted 0 leaves. 0 racks have exactly 44 ties.", "answer": "0", "table": "**Ties per rack**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 0, 1, 5, 7 |\n| 2 | 6 |\n| 3 | 2, 4, 8 |\n| 4 | 0, 1, 5, 6 |\n| 5 | 1, 3, 6, 8, 8, 9 |\n| 6 | 3 |" } ] }, { "id": "27972", "image": "27972.png", "conversations": [ { "from": "human", "question": "Tom has $21. Does he have enough to buy a pecan pie and an apple tart?\n" }, { "from": "gpt", "solution": "Add the price of a pecan pie and the price of an apple tart:\n\n$14 + $10 = $24\n\n$24 is more than $21. Tom does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pecan pie | $14 |\n| pumpkin pie | $12 |\n| apple tart | $10 |\n| key lime pie | $14 |" } ] }, { "id": "27974", "image": "27974.png", "conversations": [ { "from": "human", "question": "Some farmers compared how many sheep were in their flocks. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n8, 9, 6, 8, 5\n\nFirst, arrange the numbers from least to greatest:\n\n5, 6, 8, 8, 9\n\nNow find the number in the middle.\n\n5, 6, 8, 8, 9\n\nThe number in the middle is 8.\n\nThe median is 8.", "answer": "8", "table": "**Sheep owned**\n\n| Farmer | Number of sheep |\n| --- | --- |\n| Farmer Anne | 8 |\n| Farmer Mike | 9 |\n| Farmer Wendy | 6 |\n| Farmer Betty | 8 |\n| Farmer Sally | 5 |" } ] }, { "id": "27976", "image": "27976.png", "conversations": [ { "from": "human", "question": "Martha tracked the attendance at the school play. How many more people attended the play on Wednesday than on Thursday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nWednesday: 4,268\nThursday: 1,051\n\nNow subtract: 4,268 - 1,051 = 3,217.\n\n3,217 more people attended the play on Wednesday.", "answer": "3,217", "table": "**Tickets sold**\n\n| Day | Number of tickets |\n| --- | --- |\n| Wednesday | 4,268 |\n| Thursday | 1,051 |\n| Friday | 2,987 |\n| Saturday | 5,795 |" } ] }, { "id": "27977", "image": "27977.png", "conversations": [ { "from": "human", "question": "An agricultural agency is researching how much cheese people have been eating in different parts of the world. Which country consumed more cheese per capita in 1996, Canada or Argentina?\n" }, { "from": "gpt", "solution": "Find the 1996 column. Compare the numbers in this column for Canada and Argentina.\n\n11 is more than 10. Argentina consumed more cheese per capita in 1996.", "answer": "Argentina", "table": "**Cheese consumption per capita (kg)**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 1996 | 2006 |\n| Canada | 10 | 11 |\n| Germany | 12 | 20 |\n| Great Britain | 9 | 10 |\n| Argentina | 11 | 11 |\n| Australia | 10 | 10 |" } ] }, { "id": "27981", "image": "27981.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $915, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $915, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $555 | 14,200 | 1,800 |\n| $675 | 13,200 | 3,100 |\n| $795 | 12,200 | 4,400 |\n| $915 | 11,200 | 5,700 |\n| $1,035 | 10,200 | 7,000 |" } ] }, { "id": "27989", "image": "27989.png", "conversations": [ { "from": "human", "question": "A museum curator counted the number of paintings in each exhibit at the art museum. What is the smallest number of paintings?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 1.\n\nNow find the lowest leaf in the first row. The lowest leaf is 1.\n\nThe smallest number of paintings has a stem of 1 and a leaf of 1. Write the stem first, then the leaf: 11.\n\nThe smallest number of paintings is 11 paintings.", "answer": "11", "table": "**Paintings per exhibit**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1, 2, 3 |\n| 2 | 0, 2 |\n| 3 | |\n| 4 | 0, 1, 2, 6, 7 |\n| 5 | 1, 3 |\n| 6 | 2, 4 |\n| 7 | 0, 2, 9, 9 |\n| 8 | |\n| 9 | 0 |" } ] }, { "id": "27993", "image": "27993.png", "conversations": [ { "from": "human", "question": "How much money does Ivan need to buy a waffle maker and an alarm clock?\n" }, { "from": "gpt", "solution": "Add the price of a waffle maker and the price of an alarm clock:\n\n$48.00 + $15.00 = $63.00\n\nIvan needs $63.00.", "answer": "63", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| camera | $98.00 |\n| radio | $29.00 |\n| waffle maker | $48.00 |\n| alarm clock | $15.00 |\n| computer keyboard | $13.00 |\n| DVD | $16.00 |" } ] }, { "id": "27998", "image": "27998.png", "conversations": [ { "from": "human", "question": "Linda has $40. Does she have enough to buy an alarm clock and a radio?\n" }, { "from": "gpt", "solution": "Add the price of an alarm clock and the price of a radio:\n\n$23 + $21 = $44\n\n$44 is more than $40. Linda does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| calculator | $47 |\n| waffle maker | $36 |\n| radio | $21 |\n| cell phone | $78 |\n| alarm clock | $23 |" } ] }, { "id": "27999", "image": "27999.png", "conversations": [ { "from": "human", "question": "A county agency recorded the money donated to several charitable causes over time. How much money was raised for parks in March?\n" }, { "from": "gpt", "solution": "First, find the row for parks. Then find the number in the March column.\n\nThis number is $7.00. $7 was raised for parks in March.", "answer": "7", "table": "**Donations received**\n\n| Cause | March | April |\n| --- | --- | --- |\n| Education | $17 | $3 |\n| Animals | $5 | $17 |\n| Parks | $7 | $16 |" } ] }, { "id": "28012", "image": "28012.png", "conversations": [ { "from": "human", "question": "Franco recalled how many minutes he had spent at orchestra rehearsal in the past 5 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n76, 67, 81, 73, 75\n\nFirst, arrange the numbers from least to greatest:\n\n67, 73, 75, 76, 81\n\nNow find the number in the middle.\n\n67, 73, 75, 76, 81\n\nThe number in the middle is 75.\n\nThe median is 75.", "answer": "75", "table": "**Minutes spent rehearsing**\n\n| Day | Minutes |\n| --- | --- |\n| Tuesday | 76 |\n| Wednesday | 67 |\n| Thursday | 81 |\n| Friday | 73 |\n| Saturday | 75 |" } ] }, { "id": "28016", "image": "28016.png", "conversations": [ { "from": "human", "question": "How much money does Kenneth need to buy a ball signed by a famous football player and a shirt signed by a famous soccer player?\n" }, { "from": "gpt", "solution": "Add the price of a ball signed by a famous football player and the price of a shirt signed by a famous soccer player:\n\n$3,774 + $2,090 = $5,864\n\nKenneth needs $5,864.", "answer": "5,864", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| painting signed by a famous artist | $8,504 |\n| jersey signed by a famous hockey player | $1,182 |\n| shirt signed by a famous soccer player | $2,090 |\n| ball signed by a famous football player | $3,774 |\n| photograph signed by a famous television star | $2,631 |" } ] }, { "id": "28018", "image": "28018.png", "conversations": [ { "from": "human", "question": "An economist tracked the amount of per-capita aid sent from the U.S. to various countries during the 1900s. How much aid did Nepal receive per capita in 1965?\n" }, { "from": "gpt", "solution": "First, find the row for Nepal. Then find the number in the 1965 column.\n\nThis number is $2.00. In 1965, Nepal received $2 in aid per capita.", "answer": "2", "table": "**Aid received per capita from the U.S.**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 1965 | 1975 |\n| Algeria | $12 | $11 |\n| Nepal | $2 | $3 |\n| Libya | $4 | $2 |\n| Sri Lanka | $1 | $11 |" } ] }, { "id": "28019", "image": "28019.png", "conversations": [ { "from": "human", "question": "While looking through an almanac at the library, Luther noticed some data showing the population density of various states. In 1990, how many more people per square mile lived in New Mexico than in North Dakota?\n" }, { "from": "gpt", "solution": "Find the 1990 column. Find the numbers in this column for New Mexico and North Dakota.\n\nNew Mexico: 12\nNorth Dakota: 9\n\nNow subtract:\n\n12 − 9 = 3\n\nIn 1990, 3 more people per square mile lived in New Mexico than in North Dakota.", "answer": "3", "table": "**Population per square mile**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| State | 1990 | 2000 |\n| Idaho | 12 | 15 |\n| North Dakota | 9 | 9 |\n| South Dakota | 9 | 10 |\n| New Mexico | 12 | 15 |" } ] }, { "id": "28021", "image": "28021.png", "conversations": [ { "from": "human", "question": "Tucker has $1.00. Does he have enough to buy a large cardboard box and an airplane stamp?\n" }, { "from": "gpt", "solution": "Add the price of a large cardboard box and the price of an airplane stamp:\n\n$0.66 + $0.36 = $1.02\n\n$1.02 is more than $1.00. Tucker does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| mountain postcard | $0.47 |\n| airplane stamp | $0.36 |\n| large cardboard box | $0.66 |\n| sheet of animal stamps | $0.43 |\n| rose stamp | $0.45 |" } ] }, { "id": "28029", "image": "28029.png", "conversations": [ { "from": "human", "question": "In science class, Wendy is learning about places with extreme temperatures. She learns that the highest temperature ever recorded was in Death Valley, California. She also learns that the lowest temperature ever recorded was in Vostok Station, Antarctica. The record-setting temperatures of the two locations are shown in the table. Which location's temperature was further from zero?\n" }, { "from": "gpt", "solution": "A positive number means the temperature was above zero. A negative number means the temperature was below zero.\nTo find which temperature was further from zero, use absolute value. Absolute value tells you how far a temperature is from zero.\nDeath Valley: |134| = 134\nVostok Station: |-128| = 128\nThe temperature of Death Valley was further from zero. It was 134 degrees above zero.", "answer": "Death Valley", "table": "| Location | Temperature (°F) |\n| --- | --- |\n| Death Valley | 134 |\n| Vostok Station | -128 |" } ] }, { "id": "28032", "image": "28032.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $360, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $360, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $330 | 22,300 | 15,500 |\n| $340 | 20,000 | 17,400 |\n| $350 | 17,700 | 19,300 |\n| $360 | 15,400 | 21,200 |\n| $370 | 13,100 | 23,100 |" } ] }, { "id": "28034", "image": "28034.png", "conversations": [ { "from": "human", "question": "As part of a statistics project, a math class weighed all the children who were willing to participate. How many children weighed exactly 31 pounds?\n" }, { "from": "gpt", "solution": "For the number 31, the stem is 3, and the leaf is 1. Find the row where the stem is 3. In that row, count all the leaves equal to 1.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 children weighed exactly 31 pounds.", "answer": "2", "table": "**Children's weights (lbs)**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 3, 6, 8 |\n| 3 | 1, 1, 2, 3, 9 |\n| 4 | 3, 4, 5 |\n| 5 | 1, 8 |" } ] }, { "id": "28047", "image": "28047.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $1,050, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $1,050, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $960 | 16,400 | 1,000 |\n| $990 | 13,800 | 5,800 |\n| $1,020 | 11,200 | 10,600 |\n| $1,050 | 8,600 | 15,400 |\n| $1,080 | 6,000 | 20,200 |" } ] }, { "id": "28048", "image": "28048.png", "conversations": [ { "from": "human", "question": "A statistics lab required students to draw cards numbered between 1 and 6 and track the results. Which number was drawn the most times?\n" }, { "from": "gpt", "solution": "Look at the frequency column. Find the greatest frequency. The greatest frequency is 16, which is in the row for 1. 1 was drawn the most times.", "answer": "1", "table": "**Drawing a number between 1 and 6**\n\n| Number drawn | Frequency |\n| --- | --- |\n| 1 | 16 |\n| 2 | 15 |\n| 3 | 6 |\n| 4 | 7 |\n| 5 | 14 |\n| 6 | 0 |" } ] }, { "id": "28050", "image": "28050.png", "conversations": [ { "from": "human", "question": "A pair of Washington High School hockey fans counted the number of games won by the school each year. According to the table, what was the rate of change between 2017 and 2018?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{8 games - 1 game}{2018 - 2017}\n = \\frac{8 games - 1 game}{1 year}\n = \\frac{7 games}{1 year}\n = 7 games per year\nThe rate of change between 2017 and 2018 was 7 games per year.", "answer": "7", "table": "**Hockey games won by Washington High**\n\n| Year | Games won |\n| --- | --- |\n| 2017 | 1 |\n| 2018 | 8 |\n| 2019 | 17 |\n| 2020 | 20 |\n| 2021 | 19 |" } ] }, { "id": "28053", "image": "28053.png", "conversations": [ { "from": "human", "question": "Anne has $0.14. Does she have enough to buy a silver pen and a thin blue marker?\n" }, { "from": "gpt", "solution": "Add the price of a silver pen and the price of a thin blue marker:\n\n$0.07 + $0.07 = $0.14\n\nSince Anne has $0.14, she has just enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| thin blue marker | $0.07 |\n| silver pen | $0.07 |\n| red ballpoint pen | $0.09 |\n| package of pencil lead | $0.07 |\n| green colored pencil | $0.02 |\n| purple colored pencil | $0.09 |" } ] }, { "id": "28057", "image": "28057.png", "conversations": [ { "from": "human", "question": "Simon's Candies has been studying how much chocolate people have been eating in different countries. Which country consumed the least chocolate per capita in 2002?\n" }, { "from": "gpt", "solution": "Look at the numbers in the 2002 column. Find the least number in this column.\n\nThe least number is 4, which is in the Australia row. Australia consumed the least chocolate per capita in 2002.", "answer": "Australia", "table": "**Chocolate consumption per capita (kg)**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 2002 | 2005 |\n| Switzerland | 11 | 10 |\n| Norway | 8 | 9 |\n| Sweden | 8 | 7 |\n| Denmark | 9 | 8 |\n| Australia | 4 | 5 |" } ] }, { "id": "28067", "image": "28067.png", "conversations": [ { "from": "human", "question": "Some friends compared the sizes of their stuffed animal collections. Who has the most stuffed animals?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 57.\n\nNow find the corresponding name. Riley corresponds to 57.", "answer": "Riley", "table": "**Stuffed animal collections**\n\n| Name | Number of stuffed animals |\n| --- | --- |\n| Charlie | 52 |\n| Dale | 53 |\n| Warren | 50 |\n| Riley | 57 |" } ] }, { "id": "28076", "image": "28076.png", "conversations": [ { "from": "human", "question": "Doug kept track of how many kilometers he walked during the past 6 days. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n0, 5, 9, 4, 5, 7\n\nFirst, count how many numbers are in the group.\n\nThere are 6 numbers.\n\nNow add all the numbers together:\n\n0 + 5 + 9 + 4 + 5 + 7 = 30\n\nNow divide the sum by the number of numbers:\n\n30 ÷ 6 = 5\n\nThe mean is 5.", "answer": "5", "table": "**Kilometers walked**\n\n| Day | Kilometers |\n| --- | --- |\n| Tuesday | 0 |\n| Wednesday | 5 |\n| Thursday | 9 |\n| Friday | 4 |\n| Saturday | 5 |\n| Sunday | 7 |" } ] }, { "id": "28100", "image": "28100.png", "conversations": [ { "from": "human", "question": "The architecture student counted the number of bricks in each building in her neighborhood. What is the largest number of bricks?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 9.\n\nNow find the highest leaf in the last row. The highest leaf is 0.\n\nThe largest number of bricks has a stem of 9 and a leaf of 0. Write the stem first, then the leaf: 90.\n\nThe largest number of bricks is 90 bricks.", "answer": "90", "table": "**Bricks per building**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 2 |\n| 3 | 4, 8, 9 |\n| 4 | |\n| 5 | 5, 6, 8 |\n| 6 | 9 |\n| 7 | 1, 4, 7 |\n| 8 | 4 |\n| 9 | 0 |" } ] }, { "id": "28109", "image": "28109.png", "conversations": [ { "from": "human", "question": "How much money does Rebecca need to buy a dog bowl, a bag of birdseed, and a box of dog biscuits?\n" }, { "from": "gpt", "solution": "Find the total cost of a dog bowl, a bag of birdseed, and a box of dog biscuits.\n\n$8.00 + $5.00 + $1.00 = $14.00\n\nRebecca needs $14.00.", "answer": "14", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| box of dog biscuits | $1.00 |\n| dog leash | $4.00 |\n| fish bowl | $4.00 |\n| bag of birdseed | $5.00 |\n| dog bowl | $8.00 |" } ] }, { "id": "28111", "image": "28111.png", "conversations": [ { "from": "human", "question": "How much would it cost to buy 3+1/2 pounds of parsley?\n" }, { "from": "gpt", "solution": "Find the cost of the parsley. Multiply the price per pound by the number of pounds.\n$5 × 3\\frac{1}{2} = $5 × 3.5 = $17.50\nIt would cost $17.50.", "answer": "17.50", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| cilantro | $7/lb |\n| sage | $4/lb |\n| thyme | $9/lb |\n| parsley | $5/lb |\n| mint | $8/lb |" } ] }, { "id": "28115", "image": "28115.png", "conversations": [ { "from": "human", "question": "Each bunch has 2 bananas. How many bananas are in 3 bunches?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 6 bananas in 3 bunches.", "answer": "6", "table": "| Number of bunches | Number of bananas |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | ? |" } ] }, { "id": "28120", "image": "28120.png", "conversations": [ { "from": "human", "question": "The town council reported on how many stop signs there are on each street. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n12, 8, 12, 8, 12\n\nFirst, arrange the numbers from least to greatest:\n\n8, 8, 12, 12, 12\n\nNow count how many times each number appears.\n\n8 appears 2 times.\n12 appears 3 times.\n\nThe number that appears most often is 12.\n\nThe mode is 12.", "answer": "12", "table": "**Stop signs**\n\n| Street | Number of stop signs |\n| --- | --- |\n| Smith Street | 12 |\n| Walker Street | 8 |\n| Jackson Street | 12 |\n| Peabody Street | 8 |\n| Mason Street | 12 |" } ] }, { "id": "28130", "image": "28130.png", "conversations": [ { "from": "human", "question": "Monica entered her sister into their town's Smelly Shoe Competition. Monica observed contestants of all ages proudly strutting around wearing different kinds of smelly shoes. What is the probability that a randomly selected contestant is wearing high heels and is under age 12? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the contestant is wearing high heels\" and B be the event \"the contestant is under age 12\".\nTo find the probability that a contestant is wearing high heels and is under age 12, first identify the sample space and the event.\nThe outcomes in the sample space are the different contestants. Each contestant is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the contestant is wearing high heels and is under age 12\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the contestant is wearing high heels and is under age 12\", so look at the table to see how many contestants are wearing high heels and are under age 12.\nThe number of contestants who are wearing high heels and are under age 12 is 1.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of contestants.\n6 + 1 + 3 + 5 = 15\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{1}{15}\nThe probability that a contestant is wearing high heels and is under age 12 is \\frac{1}{15}.", "answer": "1/15", "table": "| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| | Under age 12 | 13 to 30 years old |\n| Tennis shoes | 6 | 3 |\n| High heels | 1 | 5 |" } ] }, { "id": "28137", "image": "28137.png", "conversations": [ { "from": "human", "question": "An Idaho farmer has been monitoring crop prices over time. Per cwt, how much did lentils cost in 2005?\n" }, { "from": "gpt", "solution": "First, find the row for lentils. Then find the number in the 2005 column.\n\nThis number is $12.00. In 2005, lentils cost $12 per cwt.", "answer": "12", "table": "**Idaho crop prices per cwt**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Crop | 2004 | 2005 |\n| Lentils | $14 | $12 |\n| Apples | $12 | $18 |\n| Peas | $7 | $6 |" } ] }, { "id": "28138", "image": "28138.png", "conversations": [ { "from": "human", "question": "Grayson has $1.00. Does he have enough to buy a rubber duck and a colorful pinwheel?\n" }, { "from": "gpt", "solution": "Add the price of a rubber duck and the price of a colorful pinwheel:\n\n$0.70 + $0.36 = $1.06\n\n$1.06 is more than $1.00. Grayson does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| blue plastic block | $0.35 |\n| red kazoo | $0.84 |\n| green marble | $0.42 |\n| rubber duck | $0.70 |\n| colorful pinwheel | $0.36 |" } ] }, { "id": "28142", "image": "28142.png", "conversations": [ { "from": "human", "question": "Lena likes watching the show Engineering Marvels. In last night's episode, the engineering team visited a tall skyscraper and a deep mine. A banner at the bottom of the screen showed the elevation of each location the team visited. Which location is closer to sea level?\n" }, { "from": "gpt", "solution": "The top of the skyscraper has a positive elevation, so it is above sea level. The bottom of the mine has a negative elevation, so it is below sea level.\nTo find the location closer to sea level, use absolute value. Absolute value tells you how far each location is from sea level.\nTop of the skyscraper: |275| = 275\nBottom of the mine: |-260| = 260\nThe top of the skyscraper is 275 meters above sea level, but the bottom of the mine is only260 meters below sea level. The bottom of the mine is closer to sea level.", "answer": "bottom of the mine", "table": "| Location | Elevation (m) |\n| --- | --- |\n| Top of the skyscraper | 275 |\n| Bottom of the mine | -260 |" } ] }, { "id": "28143", "image": "28143.png", "conversations": [ { "from": "human", "question": "The board of commerce gave a survey to determine how many employees work at each company. Which company has the fewest employees?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 719.\n\nNow find the corresponding company. Tasty Coffee corresponds to 719.", "answer": "Tasty Coffee", "table": "**Company sizes**\n\n| Company | Number of employees |\n| --- | --- |\n| Tasty Coffee | 719 |\n| Smith Electronics | 791 |\n| Country Bakery | 797 |\n| Wakefield and Watson | 771 |" } ] }, { "id": "28149", "image": "28149.png", "conversations": [ { "from": "human", "question": "A school administrator who was concerned about grade inflation looked over the number of straight-A students from year to year. According to the table, what was the rate of change between 2010 and 2011?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{28 students - 42 students}{2011 - 2010}\n = \\frac{28 students - 42 students}{1 year}\n = \\frac{-14 students}{1 year}\n = -14 students per year\nThe rate of change between 2010 and 2011 was - 14 students per year.", "answer": "-14", "table": "**Straight-A students**\n\n| Year | Students |\n| --- | --- |\n| 2007 | 41 |\n| 2008 | 34 |\n| 2009 | 29 |\n| 2010 | 42 |\n| 2011 | 28 |" } ] }, { "id": "28151", "image": "28151.png", "conversations": [ { "from": "human", "question": "How much more does a motorcycle cost than a canoe?\n" }, { "from": "gpt", "solution": "Subtract the price of a canoe from the price of a motorcycle.\n\n$968.00 - $694.00 = $274.00\n\nA motorcycle costs $274.00 more than a canoe.", "answer": "274", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| canoe | $694.00 |\n| motorcycle | $968.00 |\n| sailboat | $534.00 |\n| kayak | $584.00 |" } ] }, { "id": "28155", "image": "28155.png", "conversations": [ { "from": "human", "question": "How much money does Sasha need to buy a red kazoo and a shapes stencil?\n" }, { "from": "gpt", "solution": "Add the price of a red kazoo and the price of a shapes stencil:\n\n$0.07 + $0.04 = $0.11\n\nSasha needs $0.11.", "answer": "0.11", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| red kazoo | $0.07 |\n| shapes stencil | $0.04 |\n| green bouncy ball | $0.02 |\n| colorful pinwheel | $0.05 |\n| wooden block | $0.04 |" } ] }, { "id": "28161", "image": "28161.png", "conversations": [ { "from": "human", "question": "Professor Flynn compiled the scores from the last quiz. How many students scored less than 9?\n" }, { "from": "gpt", "solution": "Find the rows for 5, 6, 7, and 8. Add the frequencies for these rows.\n\nAdd:\n\n13 + 17 + 8 + 14 = 52\n\n52 students scored less than 9.", "answer": "52", "table": "**Scores on the last quiz**\n\n| Score | Frequency |\n| --- | --- |\n| 5 | 13 |\n| 6 | 17 |\n| 7 | 8 |\n| 8 | 14 |\n| 9 | 10 |\n| 10 | 4 |" } ] }, { "id": "28173", "image": "28173.png", "conversations": [ { "from": "human", "question": "Belle wrote down how many cups of lemonade she sold in the past 5 days. How many cups in total did the lemonade stand sell on Monday and Wednesday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nMonday: 314\nWednesday: 531\n\nNow add: 314 + 531 = 845.\n\nThe lemonade stand sold 845 cups on Monday and Wednesday.", "answer": "845", "table": "**Cups of lemonade sold**\n\n| Day | Number of cups |\n| --- | --- |\n| Monday | 314 |\n| Tuesday | 119 |\n| Wednesday | 531 |\n| Thursday | 106 |\n| Friday | 129 |" } ] }, { "id": "28175", "image": "28175.png", "conversations": [ { "from": "human", "question": "A stock broker followed the stock prices of a certain set of companies. How much did Houston Sporting Goods's stock cost on Tuesday?\n" }, { "from": "gpt", "solution": "First, find the row for Houston Sporting Goods. Then find the number in the Tuesday column.\n\nThis number is $12.00. Houston Sporting Goods's stock cost $12 on Tuesday.", "answer": "12", "table": "**Stock prices**\n\n| Company | Monday | Tuesday |\n| --- | --- | --- |\n| Houston Sporting Goods | $1 | $12 |\n| Computer Data Company | $6 | $19 |\n| Thompson Corporation | $6 | $8 |" } ] }, { "id": "28179", "image": "28179.png", "conversations": [ { "from": "human", "question": "A fashion magazine poll asks how many winter hats each reader owns. How many readers have at least 4 hats?\n" }, { "from": "gpt", "solution": "Find the rows for 4 and 5 hats. Add the frequencies for these rows.\n\nAdd:\n\n1 + 14 = 15\n\n15 readers have at least 4 hats.", "answer": "15", "table": "**Winter hats**\n\n| Number of winter hats | Frequency |\n| --- | --- |\n| 0 | 8 |\n| 1 | 3 |\n| 2 | 0 |\n| 3 | 16 |\n| 4 | 1 |\n| 5 | 14 |" } ] }, { "id": "28182", "image": "28182.png", "conversations": [ { "from": "human", "question": "Danville Property Management reviewed the number of vacant apartments at each its apartment complexes over time. In September, which complex had the fewest vacant apartments?\n" }, { "from": "gpt", "solution": "Look at the numbers in the September column. Find the least number in this column.\n\nThe least number is 11, which is in the University Apartments row. In September, University Apartments had the fewest vacant apartments.", "answer": "University Apartments", "table": "**Vacant apartments**\n\n| Apartment complex | August | September |\n| --- | --- | --- |\n| Shadyside Apartments | 11 | 20 |\n| Alameda Apartments | 3 | 16 |\n| University Apartments | 5 | 11 |" } ] }, { "id": "28195", "image": "28195.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does the train depart from Hickory Street?\n" }, { "from": "gpt", "solution": "Find Hickory Street on the schedule. Find the departure time for Hickory Street.\n\nHickory Street: 11:45 A. M.", "answer": "11:45 A.M.", "table": "**Subway train schedule**\n\n| Location | Time |\n| --- | --- |\n| Broadway Avenue | 10:40 A.M. |\n| Jefferson Boulevard | 10:55 A.M. |\n| Oak Road | 11:00 A.M. |\n| Hickory Street | 11:45 A.M. |\n| Park Avenue | 12:10 P.M. |\n| Spring Avenue | 12:15 P.M. |\n| Sycamore Road | 1:05 P.M. |" } ] }, { "id": "28200", "image": "28200.png", "conversations": [ { "from": "human", "question": "A newspaper researched how many grocery stores there are in each town. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n8, 4, 5, 6, 8, 9, 3, 8\n\nFirst, find the greatest number. The greatest number is 9.\n\nNext, find the least number. The least number is 3.\n\nSubtract the least number from the greatest number:\n\n9 − 3 = 6\n\nThe range is 6.", "answer": "6", "table": "**Grocery stores in each town**\n\n| Town | Number of stores |\n| --- | --- |\n| Columbia | 8 |\n| Riverside | 4 |\n| Mayfield | 5 |\n| Salem | 6 |\n| Ashland | 8 |\n| Watertown | 9 |\n| Greenwood | 3 |\n| Richmond | 8 |" } ] }, { "id": "28201", "image": "28201.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does the scavenger hunt end?\n" }, { "from": "gpt", "solution": "Find the scavenger hunt on the schedule. Find the end time for the scavenger hunt.\n\nscavenger hunt: 2:45 P. M.", "answer": "2:45 P.M.", "table": "**Camp schedule**\n\n| Activity | Begin | End |\n| --- | --- | --- |\n| quiet time | 7:05 A.M. | 8:05 A.M. |\n| canoeing class | 8:15 A.M. | 9:20 A.M. |\n| music class | 9:25 A.M. | 10:50 A.M. |\n| snack time | 10:55 A.M. | 12:00 P.M. |\n| hiking trip | 12:10 P.M. | 1:05 P.M. |\n| scavenger hunt | 1:10 P.M. | 2:45 P.M. |\n| swimming class | 2:50 P.M. | 4:25 P.M. |" } ] }, { "id": "28203", "image": "28203.png", "conversations": [ { "from": "human", "question": "A philanthropic organization compared the amounts of money that its members donated to certain causes. How much did Dirk donate to cancer research?\n" }, { "from": "gpt", "solution": "First, find the row for Dirk. Then find the number in the Cancer research column.\n\nThis number is $11.00. Dirk donated $11 to cancer research.", "answer": "11", "table": "**Donations**\n\n| Person | Cancer research | Animal rights |\n| --- | --- | --- |\n| Dirk | $11 | $14 |\n| Kayla | $13 | $19 |\n| Brianna | $1 | $18 |" } ] }, { "id": "28212", "image": "28212.png", "conversations": [ { "from": "human", "question": "The city recorded how many fire hydrants there are on each street. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n2, 5, 2, 4, 3, 1, 4, 3\n\nFirst, count how many numbers are in the group.\n\nThere are 8 numbers.\n\nNow add all the numbers together:\n\n2 + 5 + 2 + 4 + 3 + 1 + 4 + 3 = 24\n\nNow divide the sum by the number of numbers:\n\n24 ÷ 8 = 3\n\nThe mean is 3.", "answer": "3", "table": "**Fire hydrants**\n\n| Street | Number of hydrants |\n| --- | --- |\n| Oak Street | 2 |\n| Aspen Street | 5 |\n| Maple Street | 2 |\n| Lemon Street | 4 |\n| Cherry Street | 3 |\n| Rose Street | 1 |\n| Fir Street | 4 |\n| Elm Street | 3 |" } ] }, { "id": "28213", "image": "28213.png", "conversations": [ { "from": "human", "question": "A gymnast jotted down the number of cartwheels she did each day. On which day did the gymnast do the fewest cartwheels?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 80.\n\nNow find the corresponding day. Friday corresponds to 80.", "answer": "Friday", "table": "**Doing cartwheels**\n\n| Day | Number of cartwheels |\n| --- | --- |\n| Friday | 80 |\n| Saturday | 84 |\n| Sunday | 83 |\n| Monday | 85 |" } ] }, { "id": "28217", "image": "28217.png", "conversations": [ { "from": "human", "question": "How much more does a blueberry cheesecake cost than a cherry pie?\n" }, { "from": "gpt", "solution": "Subtract the price of a cherry pie from the price of a blueberry cheesecake.\n\n$13.70 - $10.18 = $3.52\n\nA blueberry cheesecake costs $3.52 more than a cherry pie.", "answer": "3.52", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| blueberry cheesecake | $13.70 |\n| chocolate cake | $12.19 |\n| cherry pie | $10.18 |\n| banana cream pie | $12.27 |\n| carrot cake | $17.56 |\n| pineapple upside-down cake | $19.12 |" } ] }, { "id": "28220", "image": "28220.png", "conversations": [ { "from": "human", "question": "In a study on public parking, the director of transportation counted the number of cars in each of the city's parking lots. How many parking lots had exactly 63 cars?\n" }, { "from": "gpt", "solution": "For the number 63, the stem is 6, and the leaf is 3. Find the row where the stem is 6. In that row, count all the leaves equal to 3.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 parking lots had exactly 63 cars.", "answer": "3", "table": "**Cars per parking lot**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 2, 2, 2, 9, 9 |\n| 2 | 1, 2, 9 |\n| 3 | 9 |\n| 4 | 3, 4, 5 |\n| 5 | 4 |\n| 6 | 3, 3, 3, 5, 8 |\n| 7 | 3, 7 |\n| 8 | 2 |\n| 9 | 0, 0 |" } ] }, { "id": "28223", "image": "28223.png", "conversations": [ { "from": "human", "question": "How much money does Zeke need to buy a pillow and a beach blanket?\n" }, { "from": "gpt", "solution": "Add the price of a pillow and the price of a beach blanket:\n\n$7.31 + $5.72 = $13.03\n\nZeke needs $13.03.", "answer": "13.03", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| fleece blanket | $7.60 |\n| pillow | $7.31 |\n| beach blanket | $5.72 |\n| red pillowcase | $3.70 |\n| flannel sheet | $8.25 |" } ] }, { "id": "28226", "image": "28226.png", "conversations": [ { "from": "human", "question": "Rose has $1.38. Does she have enough to buy an apple and a banana?\n" }, { "from": "gpt", "solution": "Add the price of an apple and the price of a banana:\n\n$0.92 + $0.49 = $1.41\n\n$1.41 is more than $1.38. Rose does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| cucumber | $0.58 |\n| apple | $0.92 |\n| banana | $0.49 |\n| tomato | $0.72 |" } ] }, { "id": "28229", "image": "28229.png", "conversations": [ { "from": "human", "question": "How much money does Jake need to buy a cockatoo and a bearded dragon?\n" }, { "from": "gpt", "solution": "Add the price of a cockatoo and the price of a bearded dragon:\n\n$143.00 + $243.00 = $386.00\n\nJake needs $386.00.", "answer": "386", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| bearded dragon | $243.00 |\n| chinchilla | $138.00 |\n| hedgehog | $172.00 |\n| cockatoo | $143.00 |" } ] }, { "id": "28233", "image": "28233.png", "conversations": [ { "from": "human", "question": "Dr. Scott, a pediatrician, weighed all the children who recently visited her office. How many children weighed less than 76 pounds?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 4, 5, and 6.\n\nIn the row with stem 7, count all the leaves less than 6.\n\nYou counted 7 leaves, which are blue in the stem-and-leaf plots above. 7 children weighed less than 76 pounds.", "answer": "7", "table": "**Children's weights (lbs)**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 5, 8 |\n| 5 | 0, 9 |\n| 6 | 3 |\n| 7 | 0, 1, 6 |\n| 8 | 1, 5, 7 |" } ] }, { "id": "28235", "image": "28235.png", "conversations": [ { "from": "human", "question": "Riley has $49.00. Does she have enough to buy a radio and a computer keyboard?\n" }, { "from": "gpt", "solution": "Add the price of a radio and the price of a computer keyboard:\n\n$21.00 + $32.00 = $53.00\n\n$53.00 is more than $49.00. Riley does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| radio | $21.00 |\n| CD | $19.00 |\n| telephone | $34.00 |\n| blender | $10.00 |\n| computer keyboard | $32.00 |" } ] }, { "id": "28237", "image": "28237.png", "conversations": [ { "from": "human", "question": "Samuel has $27.00. Does he have enough to buy a microphone and a computer keyboard?\n" }, { "from": "gpt", "solution": "Add the price of a microphone and the price of a computer keyboard:\n\n$10.50 + $17.74 = $28.24\n\n$28.24 is more than $27.00. Samuel does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| microwave | $94.39 |\n| waffle maker | $46.04 |\n| computer keyboard | $17.74 |\n| blender | $23.18 |\n| microphone | $10.50 |\n| calculator | $89.69 |" } ] }, { "id": "28239", "image": "28239.png", "conversations": [ { "from": "human", "question": "Toby has $33.00. Does he have enough to buy a fleece blanket and a beach blanket?\n" }, { "from": "gpt", "solution": "Add the price of a fleece blanket and the price of a beach blanket:\n\n$19.04 + $14.28 = $33.32\n\n$33.32 is more than $33.00. Toby does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| fleece blanket | $19.04 |\n| navy blue bath mat | $19.42 |\n| beach blanket | $14.28 |\n| quilt | $33.15 |\n| yellow bath towel | $11.35 |" } ] }, { "id": "28241", "image": "28241.png", "conversations": [ { "from": "human", "question": "While compiling photos for an album, Andrew noted the number of photographs taken by each of his friends and family. How many people are there in all?\n" }, { "from": "gpt", "solution": "Add the frequencies for each row.\n\nAdd:\n\n15 + 16 + 12 + 8 + 7 + 2 + 14 = 74\n\nThere are 74 people in all.", "answer": "74", "table": "**Taking photographs**\n\n| Photographs taken | Frequency |\n| --- | --- |\n| 0 | 15 |\n| 1 | 16 |\n| 2 | 12 |\n| 3 | 8 |\n| 4 | 7 |\n| 5 | 2 |\n| 6 | 14 |" } ] }, { "id": "28247", "image": "28247.png", "conversations": [ { "from": "human", "question": "Jerry went to the store. He bought 4 kilograms of King Edward potatoes. How much did he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the King Edward potatoes. Multiply the price per kilogram by the number of kilograms.\n\n$1.69 × 4 = $6.76\n\nHe spent $6.76.", "answer": "6.76", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| Russet Burbank potatoes | $1.75/kg |\n| King Edward potatoes | $1.69/kg |\n| Red Pontiac potatoes | $0.63/kg |\n| Golden Wonder potatoes | $1.78/kg |\n| Yukon Gold potatoes | $0.40/kg |" } ] }, { "id": "28251", "image": "28251.png", "conversations": [ { "from": "human", "question": "How much money does Cassie need to buy a canoe, a kayak, and a dirt bike?\n" }, { "from": "gpt", "solution": "Find the total cost of a canoe, a kayak, and a dirt bike.\n\n$682 + $847 + $989 = $2,518\n\nCassie needs $2,518.", "answer": "2,518", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| dirt bike | $989 |\n| kayak | $847 |\n| canoe | $682 |\n| motorcycle | $567 |" } ] }, { "id": "28253", "image": "28253.png", "conversations": [ { "from": "human", "question": "Ted graphed the amount of snow that fell in the last 5 days. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 2, 8, 0, 1\n\nFirst, count how many numbers are in the group.\n\nThere are 5 numbers.\n\nNow add all the numbers together:\n\n9 + 2 + 8 + 0 + 1 = 20\n\nNow divide the sum by the number of numbers:\n\n20 ÷ 5 = 4\n\nThe mean is 4.", "answer": "4", "table": "**Daily snowfall**\n\n| Day | Snowfall (inches) |\n| --- | --- |\n| Thursday | 9 |\n| Friday | 2 |\n| Saturday | 8 |\n| Sunday | 0 |\n| Monday | 1 |" } ] }, { "id": "28258", "image": "28258.png", "conversations": [ { "from": "human", "question": "The parks department compared how many basketball hoops there are at each park. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 9, 10, 12, 13, 13\n\nFirst, count how many numbers are in the group.\n\nThere are 6 numbers.\n\nNow add all the numbers together:\n\n9 + 9 + 10 + 12 + 13 + 13 = 66\n\nNow divide the sum by the number of numbers:\n\n66 ÷ 6 = 11\n\nThe mean is 11.", "answer": "11", "table": "**Basketball hoops**\n\n| Park | Number of basketball hoops |\n| --- | --- |\n| Canal Park | 9 |\n| Linden Park | 9 |\n| Heron Park | 10 |\n| Palm Park | 12 |\n| Kelly Park | 13 |\n| Mooreland Park | 13 |" } ] }, { "id": "28259", "image": "28259.png", "conversations": [ { "from": "human", "question": "How much more does a hot plate cost than a case of test tubes?\n" }, { "from": "gpt", "solution": "Subtract the price of a case of test tubes from the price of a hot plate.\n\n$243 - $179 = $64\n\nA hot plate costs $64 more than a case of test tubes.", "answer": "64", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| microscope | $209 |\n| case of test tubes | $179 |\n| telescope | $309 |\n| laboratory freezer | $595 |\n| hot plate | $243 |" } ] }, { "id": "28261", "image": "28261.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{9 - 11}{13 - 12}\n = \\frac{-2}{1}\n = -2\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{8 - 9}{14 - 13}\n = \\frac{-1}{1}\n = -1\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 12 | 11 |\n| 13 | 9 |\n| 14 | 8 |" } ] }, { "id": "28267", "image": "28267.png", "conversations": [ { "from": "human", "question": "To figure out how many vacation days he had left to use, Braden looked over his old calendars to figure out how many days of vacation he had taken each year. According to the table, what was the rate of change between 2012 and 2013?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{31 vacation days - 36 vacation days}{2013 - 2012}\n = \\frac{31 vacation days - 36 vacation days}{1 year}\n = \\frac{-5 vacation days}{1 year}\n = -5 vacation days per year\nThe rate of change between 2012 and 2013 was - 5 vacation days per year.", "answer": "-5", "table": "**Vacation days taken by Braden**\n\n| Year | Vacation days |\n| --- | --- |\n| 2010 | 33 |\n| 2011 | 33 |\n| 2012 | 36 |\n| 2013 | 31 |\n| 2014 | 31 |" } ] }, { "id": "28270", "image": "28270.png", "conversations": [ { "from": "human", "question": "An author recorded how many words she wrote in the past 4 days. On which day did the author write the most words?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 343.\n\nNow find the corresponding day. Tuesday corresponds to 343.", "answer": "Tuesday", "table": "**Words written**\n\n| Day | Number of words |\n| --- | --- |\n| Tuesday | 343 |\n| Wednesday | 341 |\n| Thursday | 311 |\n| Friday | 332 |" } ] }, { "id": "28282", "image": "28282.png", "conversations": [ { "from": "human", "question": "Bridget likes watching the show Engineering Marvels. In last night's episode, the engineering team visited a tall skyscraper and a deep mine. A banner at the bottom of the screen showed the elevation of each location the team visited. Which location is closer to sea level?\n" }, { "from": "gpt", "solution": "The top of the skyscraper has a positive elevation, so it is above sea level. The bottom of the mine has a negative elevation, so it is below sea level.\nTo find the location closer to sea level, use absolute value. Absolute value tells you how far each location is from sea level.\nTop of the skyscraper: |275| = 275\nBottom of the mine: |-260| = 260\nThe top of the skyscraper is 275 meters above sea level, but the bottom of the mine is only260 meters below sea level. The bottom of the mine is closer to sea level.", "answer": "bottom of the mine", "table": "| Location | Elevation (m) |\n| --- | --- |\n| Top of the skyscraper | 275 |\n| Bottom of the mine | -260 |" } ] }, { "id": "28295", "image": "28295.png", "conversations": [ { "from": "human", "question": "The Fairview Art Museum recorded how many finger puppets the children made at last Sunday's art workshop. How many children are there in all?\n" }, { "from": "gpt", "solution": "Add the frequencies for each row.\n\nAdd:\n\n0 + 8 + 13 + 4 + 9 + 16 + 14 = 64\n\nThere are 64 children in all.", "answer": "64", "table": "**Making finger puppets**\n\n| Finger puppets made | Frequency |\n| --- | --- |\n| 0 | 0 |\n| 1 | 8 |\n| 2 | 13 |\n| 3 | 4 |\n| 4 | 9 |\n| 5 | 16 |\n| 6 | 14 |" } ] }, { "id": "28297", "image": "28297.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{13 - 16}{1 - 0}\n = \\frac{-3}{1}\n = -3\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{10 - 13}{2 - 1}\n = \\frac{-3}{1}\n = -3\nThe two rates of change are the same.\n3.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 0 | 16 |\n| 1 | 13 |\n| 2 | 10 |" } ] }, { "id": "28300", "image": "28300.png", "conversations": [ { "from": "human", "question": "The aquarium's records showed how many tickets were sold in the past 4 days. On which day did the aquarium sell the most tickets?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 75.\n\nNow find the corresponding day. Friday corresponds to 75.", "answer": "Friday", "table": "**Tickets sold**\n\n| Day | Number of tickets |\n| --- | --- |\n| Tuesday | 70 |\n| Wednesday | 71 |\n| Thursday | 72 |\n| Friday | 75 |" } ] }, { "id": "28304", "image": "28304.png", "conversations": [ { "from": "human", "question": "A newspaper researched how many grocery stores there are in each town. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n2, 9, 2, 5, 6, 5, 5, 6\n\nFirst, arrange the numbers from least to greatest:\n\n2, 2, 5, 5, 5, 6, 6, 9\n\nNow count how many times each number appears.\n\n2 appears 2 times.\n5 appears 3 times.\n6 appears 2 times.\n9 appears 1 time.\n\nThe number that appears most often is 5.\n\nThe mode is 5.", "answer": "5", "table": "**Grocery stores in each town**\n\n| Town | Number of stores |\n| --- | --- |\n| Riverside | 2 |\n| Ashland | 9 |\n| Salem | 2 |\n| Chesterton | 5 |\n| Marion | 6 |\n| Springfield | 5 |\n| Columbia | 5 |\n| Mayfield | 6 |" } ] }, { "id": "28313", "image": "28313.png", "conversations": [ { "from": "human", "question": "Stamford will decide whether to extend its public pool's hours by looking at the number of times its residents visited the pool last month. How many people went swimming exactly 6 times last month?\n" }, { "from": "gpt", "solution": "Find the row for 6 times and read the frequency. The frequency is 6.\n\n6 people went swimming exactly 6 times last month.", "answer": "6", "table": "**Going swimming last month**\n\n| Number of times | Frequency |\n| --- | --- |\n| 1 | 8 |\n| 2 | 14 |\n| 3 | 0 |\n| 4 | 9 |\n| 5 | 7 |\n| 6 | 6 |" } ] }, { "id": "28318", "image": "28318.png", "conversations": [ { "from": "human", "question": "Look at this table. Is this relation a function?\n" }, { "from": "gpt", "solution": "Look at the x-values in the table.\n\nEach of the x-values is paired with only one y-value, so the relation is a function.", "answer": "yes", "table": "| x | y |\n| --- | --- |\n| 8 | 11 |\n| 4 | 0 |\n| 19 | 12 |" } ] }, { "id": "28324", "image": "28324.png", "conversations": [ { "from": "human", "question": "How much would it cost to buy 1 pound of pistachio ice cream?\n" }, { "from": "gpt", "solution": "Find the cost of the pistachio ice cream. Multiply the price per pound by the number of pounds.\n\n$2.16 × 1 = $2.16\n\nIt would cost $2.16.", "answer": "2.16", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| vanilla ice cream | $2.62 per lb |\n| rocky road ice cream | $2.19 per lb |\n| pistachio ice cream | $2.16 per lb |\n| butter pecan ice cream | $2.08 per lb |\n| chocolate ice cream | $5.79 per lb |" } ] }, { "id": "28338", "image": "28338.png", "conversations": [ { "from": "human", "question": "Each tool box has 5 screwdrivers. How many screwdrivers are in 5 tool boxes?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 25 screwdrivers in 5 tool boxes.", "answer": "25", "table": "| Number of tool boxes | Number of screwdrivers |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | 20 |\n| 5 | ? |" } ] }, { "id": "28339", "image": "28339.png", "conversations": [ { "from": "human", "question": "Each bin has 5 green blocks. How many green blocks are in 4 bins?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 20 green blocks in 4 bins.", "answer": "20", "table": "| Number of bins | Number of green blocks |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | ? |" } ] }, { "id": "28341", "image": "28341.png", "conversations": [ { "from": "human", "question": "How much money does Ian need to buy a rolling pin and a cookbook?\n" }, { "from": "gpt", "solution": "Add the price of a rolling pin and the price of a cookbook:\n\n$8 + $9 = $17\n\nIan needs $17.", "answer": "17", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| cookie sheet | $2 |\n| cookbook | $9 |\n| rolling pin | $8 |\n| ice cream scoop | $7 |\n| large plate | $5 |\n| serving platter | $7 |" } ] }, { "id": "28362", "image": "28362.png", "conversations": [ { "from": "human", "question": "An author kept a log of how many pages he wrote in the past 7 days. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n1, 3, 2, 1, 2, 2, 3\n\nFirst, arrange the numbers from least to greatest:\n\n1, 1, 2, 2, 2, 3, 3\n\nNow count how many times each number appears.\n\n1 appears 2 times.\n2 appears 3 times.\n3 appears 2 times.\n\nThe number that appears most often is 2.\n\nThe mode is 2.", "answer": "2", "table": "**Pages written**\n\n| Day | Number of pages |\n| --- | --- |\n| Saturday | 1 |\n| Sunday | 3 |\n| Monday | 2 |\n| Tuesday | 1 |\n| Wednesday | 2 |\n| Thursday | 2 |\n| Friday | 3 |" } ] }, { "id": "28364", "image": "28364.png", "conversations": [ { "from": "human", "question": "The week of her birthday, Martha paid attention to how many pieces of mail she received each day. On which day did Martha receive the most mail?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 18.\n\nNow find the corresponding day. Monday corresponds to 18.", "answer": "Monday", "table": "**Pieces of mail received**\n\n| Day | Number of pieces of mail |\n| --- | --- |\n| Saturday | 14 |\n| Monday | 18 |\n| Tuesday | 15 |\n| Wednesday | 17 |" } ] }, { "id": "28365", "image": "28365.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $485, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $485, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $305 | 18,000 | 17,300 |\n| $365 | 14,400 | 18,300 |\n| $425 | 10,800 | 19,300 |\n| $485 | 7,200 | 20,300 |\n| $545 | 3,600 | 21,300 |" } ] }, { "id": "28374", "image": "28374.png", "conversations": [ { "from": "human", "question": "At Newport Consulting, the head of human resources examined how the number of employees with health care benefits varied in response to policy changes. According to the table, what was the rate of change between 2013 and 2014?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{10 employees - 10 employees}{2014 - 2013}\n = \\frac{10 employees - 10 employees}{1 year}\n = \\frac{0 employees}{1 year}\n = 0 employees per year\nThe rate of change between 2013 and 2014 was 0 employees per year.", "answer": "0", "table": "**Employees with health care benefits**\n\n| Year | Employees |\n| --- | --- |\n| 2011 | 4 |\n| 2012 | 14 |\n| 2013 | 10 |\n| 2014 | 10 |\n| 2015 | 5 |" } ] }, { "id": "28378", "image": "28378.png", "conversations": [ { "from": "human", "question": "A concession stand worker at the movie theater looked up how many bags of popcorn were sold in the past 5 days. How many more bags of popcorn did the movie theater sell on Thursday than on Sunday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nThursday: 651\nSunday: 154\n\nNow subtract: 651 - 154 = 497.\n\nThe movie theater sold 497 more bags of popcorn on Thursday.", "answer": "497", "table": "**Bags of popcorn sold**\n\n| Day | Number of bags of popcorn |\n| --- | --- |\n| Thursday | 651 |\n| Friday | 527 |\n| Saturday | 831 |\n| Sunday | 154 |\n| Monday | 409 |" } ] }, { "id": "28388", "image": "28388.png", "conversations": [ { "from": "human", "question": "In science class, Aaliyah is learning about places with extreme temperatures. She learns that the highest temperature ever recorded was in Death Valley, California. She also learns that the lowest temperature ever recorded was in Vostok Station, Antarctica. The record-setting temperatures of the two locations are shown in the table. Which location's temperature was further from zero?\n" }, { "from": "gpt", "solution": "A positive number means the temperature was above zero. A negative number means the temperature was below zero.\nTo find which temperature was further from zero, use absolute value. Absolute value tells you how far a temperature is from zero.\nDeath Valley: |134| = 134\nVostok Station: |-128| = 128\nThe temperature of Death Valley was further from zero. It was 134 degrees above zero.", "answer": "Death Valley", "table": "| Location | Temperature (°F) |\n| --- | --- |\n| Death Valley | 134 |\n| Vostok Station | -128 |" } ] }, { "id": "28390", "image": "28390.png", "conversations": [ { "from": "human", "question": "Eduardo purchased 4 pounds of cheese puffs and 2 pounds of unsalted popcorn. What was the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the cheese puffs. Multiply:\n\n$2.82 × 4 = $11.28\n\nFind the cost of the unsalted popcorn. Multiply:\n\n$4.78 × 2 = $9.56\n\nNow find the total cost by adding:\n\n$11.28 + $9.56 = $20.84\n\nThe total cost was $20.84.", "answer": "20.84", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| rice cakes | $3.87/pound |\n| cheese puffs | $2.82/pound |\n| unsalted popcorn | $4.78/pound |\n| flour tortilla chips | $5.32/pound |" } ] }, { "id": "28396", "image": "28396.png", "conversations": [ { "from": "human", "question": "Mr. Pittman recorded the scores of his students on the most recent math quiz. How many students scored more than 8?\n" }, { "from": "gpt", "solution": "Find the rows for 9 and 10. Add the frequencies for these rows.\n\nAdd:\n\n6 + 15 = 21\n\n21 students scored more than 8.", "answer": "21", "table": "**Scores on the math quiz**\n\n| Score | Frequency |\n| --- | --- |\n| 5 | 8 |\n| 6 | 0 |\n| 7 | 10 |\n| 8 | 14 |\n| 9 | 6 |\n| 10 | 15 |" } ] }, { "id": "28412", "image": "28412.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $1,110, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $1,110, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $670 | 18,600 | 9,400 |\n| $780 | 14,400 | 11,800 |\n| $890 | 10,200 | 14,200 |\n| $1,000 | 6,000 | 16,600 |\n| $1,110 | 1,800 | 19,000 |" } ] }, { "id": "28420", "image": "28420.png", "conversations": [ { "from": "human", "question": "Professor Estrada released the results of yesterday's pop quiz. What is the lowest score?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 4.\n\nNow find the lowest leaf in the first row. The lowest leaf is 0.\n\nThe lowest score has a stem of 4 and a leaf of 0. Write the stem first, then the leaf: 40.\n\nThe lowest score is 40 points.", "answer": "40", "table": "**Pop quiz scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 0, 0, 7, 7 |\n| 5 | 0, 1, 2, 6, 7, 8, 8, 9 |\n| 6 | 0, 3, 6, 6, 7, 8, 8, 9 |\n| 7 | 0, 3, 5, 6, 7 |" } ] }, { "id": "28423", "image": "28423.png", "conversations": [ { "from": "human", "question": "The Stafford Ski Resort asked its guests how many times they went sledding last winter. How many guests went sledding fewer than 2 times?\n" }, { "from": "gpt", "solution": "Find the rows for 0 and 1 time. Add the frequencies for these rows.\n\nAdd:\n\n7 + 1 = 8\n\n8 guests went sledding fewer than 2 times.", "answer": "8", "table": "**Sledding last winter**\n\n| Number of times | Frequency |\n| --- | --- |\n| 0 | 7 |\n| 1 | 1 |\n| 2 | 11 |\n| 3 | 2 |\n| 4 | 20 |" } ] }, { "id": "28429", "image": "28429.png", "conversations": [ { "from": "human", "question": "Miranda has $0.16. How much money will Miranda have left if she buys a peppermint candy and a gum drop?\n" }, { "from": "gpt", "solution": "Find the total cost of a peppermint candy and a gum drop.\n\n$0.08 + $0.07 = $0.15\n\nNow subtract the total cost from the starting amount.\n\n$0.16 - $0.15 = $0.01\n\nMiranda will have $0.01 left.", "answer": "0.01", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| piece of licorice | $0.09 |\n| peppermint candy | $0.08 |\n| butterscotch candy | $0.08 |\n| cinnamon candy | $0.09 |\n| gum drop | $0.07 |\n| gummy bear | $0.09 |" } ] }, { "id": "28431", "image": "28431.png", "conversations": [ { "from": "human", "question": "How much more does a pecan pie cost than a pineapple upside-down cake?\n" }, { "from": "gpt", "solution": "Subtract the price of a pineapple upside-down cake from the price of a pecan pie.\n\n$9.45 - $9.22 = $0.23\n\nA pecan pie costs $0.23 more than a pineapple upside-down cake.", "answer": "0.23", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pecan pie | $9.45 |\n| pineapple upside-down cake | $9.22 |\n| apple pie | $9.69 |\n| cherry pie | $9.41 |" } ] }, { "id": "28434", "image": "28434.png", "conversations": [ { "from": "human", "question": "Each desk drawer has 5 pencils. How many pencils are in 4 desk drawers?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 20 pencils in 4 desk drawers.", "answer": "20", "table": "| Number of desk drawers | Number of pencils |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | ? |" } ] }, { "id": "28435", "image": "28435.png", "conversations": [ { "from": "human", "question": "Each table has 5 chairs. How many chairs are at 6 tables?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 30 chairs at 6 tables.", "answer": "30", "table": "| Number of tables | Number of chairs |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | 20 |\n| 5 | 25 |\n| 6 | ? |" } ] }, { "id": "28436", "image": "28436.png", "conversations": [ { "from": "human", "question": "Miles is buying a new wristwatch for his mom. He researches three watches online. This frequency chart shows how many 5-star reviews each watch has received. Which wristwatch has the fewest 5-star reviews?\n" }, { "from": "gpt", "solution": "The smallest number in the frequency chart is 14.\nSo, the Timeless Lady wristwatch has the fewest 5-star reviews.", "answer": "Timeless Lady", "table": "**5-star watch reviews**\n\n| Watch | Frequency |\n| --- | --- |\n| Beautiful All the Time | 35 |\n| Timeless Lady | 14 |\n| Never Late | 18 |" } ] }, { "id": "28453", "image": "28453.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does the town hall meeting begin?\n" }, { "from": "gpt", "solution": "Find the town hall meeting on the schedule. Find the beginning time for the town hall meeting.\n\ntown hall meeting: 2:40 P. M.", "answer": "2:40 P.M.", "table": "**City government schedule**\n\n| Meeting | Begin | End |\n| --- | --- | --- |\n| budget meeting | 10:55 A.M. | 11:40 A.M. |\n| construction permit meeting | 12:05 P.M. | 12:35 P.M. |\n| police meeting | 12:40 P.M. | 1:35 P.M. |\n| fire department meeting | 1:50 P.M. | 2:50 P.M. |\n| town hall meeting | 2:40 P.M. | 4:20 P.M. |" } ] }, { "id": "28455", "image": "28455.png", "conversations": [ { "from": "human", "question": "A law firm in Greenwood kept track of how many hours were billed by each partner last year. What fraction of the hours were billed by Pablo? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many hours were billed by Pablo.\n\n760\n\nFind how many hours were billed in total.\n\n650 + 760 + 680 + 730 + 720 + 800 = 4,340\n\nDivide 760 by 4,340.\n\n\\frac{760}{4,340}\n\nReduce the fraction.\n\n\\frac{760}{4,340} → \\frac{38}{217}\n\n\\frac{38}{217} of hours were billed by Pablo.", "answer": "38/217", "table": "**Law firm hours billed**\n\n| Partner | Hours billed |\n| --- | --- |\n| Dustin | 650 |\n| Pablo | 760 |\n| Laura | 680 |\n| Cora | 730 |\n| Jon | 720 |\n| Robert | 800 |" } ] }, { "id": "28467", "image": "28467.png", "conversations": [ { "from": "human", "question": "This is Gordon's complete financial record for July. How much money did Gordon spend on July 15?\n" }, { "from": "gpt", "solution": "Look at the 7/15 row. The expenses were $11.90. So, Gordon spent $11.90 on July15.\n", "answer": "11.90", "table": "| Date | Description | Received | Expenses | Available Funds |\n| --- | --- | --- | --- | --- |\n| | Balance: end of June | | | $362.95 |\n| 7/4 | sparklers | | $7.55 | $355.40 |\n| 7/15 | beach towel | | $11.90 | $343.50 |\n| 7/16 | found money | $10.00 | | $353.50 |" } ] }, { "id": "28471", "image": "28471.png", "conversations": [ { "from": "human", "question": "Each table has 2 mustard bottles. How many mustard bottles are on 6 tables?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 12 mustard bottles on 6 tables.", "answer": "12", "table": "| Number of tables | Number of mustard bottles |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | 6 |\n| 4 | 8 |\n| 5 | 10 |\n| 6 | ? |" } ] }, { "id": "28472", "image": "28472.png", "conversations": [ { "from": "human", "question": "Some students compared how many blocks they live from school. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n1, 2, 3, 4, 6, 2, 2, 4\n\nFirst, count how many numbers are in the group.\n\nThere are 8 numbers.\n\nNow add all the numbers together:\n\n1 + 2 + 3 + 4 + 6 + 2 + 2 + 4 = 24\n\nNow divide the sum by the number of numbers:\n\n24 ÷ 8 = 3\n\nThe mean is 3.", "answer": "3", "table": "**Blocks from school**\n\n| Name | Number of blocks |\n| --- | --- |\n| Steven | 1 |\n| Quincy | 2 |\n| Julie | 3 |\n| Ellen | 4 |\n| Lena | 6 |\n| Hazel | 2 |\n| Akira | 2 |\n| Baldwin | 4 |" } ] }, { "id": "28475", "image": "28475.png", "conversations": [ { "from": "human", "question": "The receptionist at a doctor's office kept track of each patient's wait time. How many people waited for less than 50 minutes?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 3 and 4.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 people waited for less than 50 minutes.", "answer": "4", "table": "**Doctor's office wait times (minutes)**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 3, 7, 9 |\n| 4 | 1 |\n| 5 | |\n| 6 | 2, 5 |\n| 7 | 7 |\n| 8 | 1, 8 |\n| 9 | 0 |" } ] }, { "id": "28477", "image": "28477.png", "conversations": [ { "from": "human", "question": "Karen kept track of how many boxes of cookies she sold over the past 7 days. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n8, 2, 2, 10, 4, 1, 1\n\nFirst, count how many numbers are in the group.\n\nThere are 7 numbers.\n\nNow add all the numbers together:\n\n8 + 2 + 2 + 10 + 4 + 1 + 1 = 28\n\nNow divide the sum by the number of numbers:\n\n28 ÷ 7 = 4\n\nThe mean is 4.", "answer": "4", "table": "**Boxes of cookies sold**\n\n| Day | Number of boxes |\n| --- | --- |\n| Saturday | 8 |\n| Sunday | 2 |\n| Monday | 2 |\n| Tuesday | 10 |\n| Wednesday | 4 |\n| Thursday | 1 |\n| Friday | 1 |" } ] }, { "id": "28478", "image": "28478.png", "conversations": [ { "from": "human", "question": "The town council reported on how many stop signs there are on each street. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n4, 4, 10, 10, 7, 4, 1\n\nFirst, arrange the numbers from least to greatest:\n\n1, 4, 4, 4, 7, 10, 10\n\nNow find the number in the middle.\n\n1, 4, 4, 4, 7, 10, 10\n\nThe number in the middle is 4.\n\nThe median is 4.", "answer": "4", "table": "**Stop signs**\n\n| Street | Number of stop signs |\n| --- | --- |\n| Irving Street | 4 |\n| Spring Street | 4 |\n| Walker Street | 10 |\n| Jackson Street | 10 |\n| Smith Street | 7 |\n| Watson Street | 4 |\n| Marshall Street | 1 |" } ] }, { "id": "28501", "image": "28501.png", "conversations": [ { "from": "human", "question": "What is the total cost for 7/10 of a pound of denim scraps?\n" }, { "from": "gpt", "solution": "Find the cost of the denim scraps. Multiply the price per pound by the number of pounds.\n$13 × \\frac{7}{10} = $13 × 0.7 = $9.10\nThe total cost is $9.10.", "answer": "9.10", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| lace scraps | $10 per pound |\n| denim scraps | $13 per pound |\n| silk scraps | $9 per pound |\n| felt scraps | $13 per pound |\n| canvas scraps | $7 per pound |\n| faux fur scraps | $6 per pound |" } ] }, { "id": "28514", "image": "28514.png", "conversations": [ { "from": "human", "question": "An Idaho farmer has been monitoring crop prices over time. In 2006, how much more did canola cost per cwt than peas?\n" }, { "from": "gpt", "solution": "Find the 2006 column. Find the numbers in this column for canola and peas.\n\ncanola: $12.00\npeas: $8.00\n\nNow subtract:\n\n$12.00 − $8.00 = $4.00\n\nIn 2006, canola cost $4 more per cwt than peas.", "answer": "4", "table": "**Idaho crop prices per cwt**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Crop | 2005 | 2006 |\n| Peas | $6 | $8 |\n| Canola | $10 | $12 |\n| Potatoes | $6 | $6 |\n| Timothy seed | $7 | $11 |\n| Lentils | $12 | $16 |" } ] }, { "id": "28522", "image": "28522.png", "conversations": [ { "from": "human", "question": "A volunteer for the local running club counted the number of participants at each race. How many races had fewer than 74 participants?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 3, 4, 5, and 6.\n\nIn the row with stem 7, count all the leaves less than 4.\n\nYou counted 8 leaves, which are blue in the stem-and-leaf plots above. 8 races had fewer than 74 participants.", "answer": "8", "table": "**Participants per race**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 6, 8 |\n| 4 | 2 |\n| 5 | 3 |\n| 6 | 0, 0, 2, 2 |\n| 7 | 5, 9 |\n| 8 | 2, 2, 2, 8 |" } ] }, { "id": "28526", "image": "28526.png", "conversations": [ { "from": "human", "question": "A researcher recorded the number of cows on each farm in the county. What is the largest number of cows?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 8.\n\nNow find the highest leaf in the last row. The highest leaf is 7.\n\nThe largest number of cows has a stem of 8 and a leaf of 7. Write the stem first, then the leaf: 87.\n\nThe largest number of cows is 87 cows.", "answer": "87", "table": "**Cows per farm**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 6 |\n| 2 | 2 |\n| 3 | 1, 5, 8, 8 |\n| 4 | 0, 1, 5, 7, 8 |\n| 5 | 2, 7, 9, 9 |\n| 6 | 3, 5 |\n| 7 | |\n| 8 | 7 |" } ] }, { "id": "28527", "image": "28527.png", "conversations": [ { "from": "human", "question": "Akira has $271. Does she have enough to buy a cockatoo and an iguana?\n" }, { "from": "gpt", "solution": "Add the price of a cockatoo and the price of an iguana:\n\n$124 + $138 = $262\n\n$262 is less than $271. Akira does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| rabbit | $105 |\n| chameleon | $136 |\n| pot-bellied pig | $230 |\n| cockatoo | $124 |\n| iguana | $138 |" } ] }, { "id": "28533", "image": "28533.png", "conversations": [ { "from": "human", "question": "At their family reunion, the Fowler family recorded everyone's age. How many people are exactly 10 years old?\n" }, { "from": "gpt", "solution": "For the number 10, the stem is 1, and the leaf is 0. Find the row where the stem is 1. In that row, count all the leaves equal to 0.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 people are exactly10 years old.", "answer": "2", "table": "**Ages**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 0, 2, 3, 7, 8, 9 |\n| 2 | 0, 5, 6 |\n| 3 | 0, 7 |\n| 4 | 5, 7, 8, 9 |\n| 5 | 2, 4, 6, 7, 7 |" } ] }, { "id": "28536", "image": "28536.png", "conversations": [ { "from": "human", "question": "The aquarium's records showed how many tickets were sold in the past 4 days. On which day did the aquarium sell the most tickets?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 142.\n\nNow find the corresponding day. Friday corresponds to 142.", "answer": "Friday", "table": "**Tickets sold**\n\n| Day | Number of tickets |\n| --- | --- |\n| Tuesday | 121 |\n| Wednesday | 114 |\n| Thursday | 124 |\n| Friday | 142 |" } ] }, { "id": "28552", "image": "28552.png", "conversations": [ { "from": "human", "question": "How much money does Lillian need to buy a Golden Retriever and a Cavalier King Charles Spaniel?\n" }, { "from": "gpt", "solution": "Add the price of a Golden Retriever and the price of a Cavalier King Charles Spaniel:\n\n$1,699 + $2,505 = $4,204\n\nLillian needs $4,204.", "answer": "4,204", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| Pomeranian | $1,141 |\n| Australian Shepherd | $1,957 |\n| English Bulldog | $4,215 |\n| Golden Retriever | $1,699 |\n| Cavalier King Charles Spaniel | $2,505 |" } ] }, { "id": "28559", "image": "28559.png", "conversations": [ { "from": "human", "question": "Edgar attended a music store's banjo sale. He counted the types of banjos and made note of their discounts. What is the probability that a randomly selected banjo is 25% off and has 5 strings? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the banjo is 25% off\" and B be the event \"the banjo has 5 strings\".\nTo find the probability that a banjo is 25% off and has 5 strings, first identify the sample space and the event.\nThe outcomes in the sample space are the different banjos. Each banjo is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the banjo is 25% off and has 5 strings\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the banjo is 25% off and has 5 strings\", so look at the table to see how many banjos are 25% off and have 5 strings.\nThe number of banjos that are 25% off and have 5 strings is 4.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of banjos.\n5 + 4 + 4 + 7 = 20\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{4}{20}\n = \\frac{1}{5}\nThe probability that a banjo is 25% off and has 5 strings is \\frac{1}{5}.", "answer": "1/5", "table": "| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| | 4 strings | 5 strings |\n| 25% off | 5 | 4 |\n| 50% off | 4 | 7 |" } ] }, { "id": "28560", "image": "28560.png", "conversations": [ { "from": "human", "question": "A drawing class was assigned a final project where students had to choose one art medium and one subject. The teacher kept track of the types of projects submitted. What is the probability that a randomly selected student chose to draw a plant and used acrylic paint? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the student chose to draw a plant\" and B be the event \"the student used acrylic paint\".\nTo find the probability that a student chose to draw a plant and used acrylic paint, first identify the sample space and the event.\nThe outcomes in the sample space are the different students. Each student is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the student chose to draw a plant and used acrylic paint\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the student chose to draw a plant and used acrylic paint\", so look at the table to see how many students chose to draw a plant and used acrylic paint.\nThe number of students who chose to draw a plant and used acrylic paint is 4.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of students.\n4 + 4 + 4 + 4 = 16\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{4}{16}\n = \\frac{1}{4}\nThe probability that a student chose to draw a plant and used acrylic paint is \\frac{1}{4}.", "answer": "1/4", "table": "| | Acrylic paint | Chalk |\n| --- | --- | --- |\n| A plant | 4 | 4 |\n| An insect | 4 | 4 |" } ] }, { "id": "28568", "image": "28568.png", "conversations": [ { "from": "human", "question": "Grace's coach wrote down how many kilometers she had run over the past 7 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 1, 6, 9, 7, 6, 6\n\nFirst, arrange the numbers from least to greatest:\n\n1, 6, 6, 6, 6, 7, 9\n\nNow find the number in the middle.\n\n1, 6, 6, 6, 6, 7, 9\n\nThe number in the middle is 6.\n\nThe median is 6.", "answer": "6", "table": "**Kilometers run**\n\n| Day | Kilometers |\n| --- | --- |\n| Sunday | 6 |\n| Monday | 1 |\n| Tuesday | 6 |\n| Wednesday | 9 |\n| Thursday | 7 |\n| Friday | 6 |\n| Saturday | 6 |" } ] }, { "id": "28573", "image": "28573.png", "conversations": [ { "from": "human", "question": "The coach of the Academic Bowl recorded the scores in a trivia game to determine who would represent the school at the regional competition. Which score did the fewest people receive?\n" }, { "from": "gpt", "solution": "Look at the frequency column. Find the least frequency. The least frequency is 3, which is in the row for 9. The fewest people scored 9.", "answer": "9", "table": "**Scores in a trivia game**\n\n| Score | Frequency |\n| --- | --- |\n| 5 | 7 |\n| 6 | 18 |\n| 7 | 13 |\n| 8 | 15 |\n| 9 | 3 |\n| 10 | 14 |" } ] }, { "id": "28589", "image": "28589.png", "conversations": [ { "from": "human", "question": "Sally counted the pages in each book on her English class's required reading list. What is the smallest number of pages?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 5.\n\nNow find the lowest leaf in the first row. The lowest leaf is 1.\n\nThe smallest number of pages has a stem of 5 and a leaf of 1. Write the stem first, then the leaf: 51.\n\nThe smallest number of pages is 51 pages.", "answer": "51", "table": "**Pages per book**\n\n| Stem | Leaf |\n| --- | --- |\n| 5 | 1, 8, 8 |\n| 6 | 0, 3, 7, 9, 9 |\n| 7 | 0, 0, 4 |\n| 8 | 4 |\n| 9 | 0 |" } ] }, { "id": "28590", "image": "28590.png", "conversations": [ { "from": "human", "question": "At Norwood Consulting, the head of human resources examined how the number of employees with health care benefits varied in response to policy changes. According to the table, what was the rate of change between 2007 and 2008?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{7 employees - 7 employees}{2008 - 2007}\n = \\frac{7 employees - 7 employees}{1 year}\n = \\frac{0 employees}{1 year}\n = 0 employees per year\nThe rate of change between 2007 and 2008 was 0 employees per year.", "answer": "0", "table": "**Employees with health care benefits**\n\n| Year | Employees |\n| --- | --- |\n| 2006 | 10 |\n| 2007 | 7 |\n| 2008 | 7 |\n| 2009 | 6 |\n| 2010 | 5 |" } ] }, { "id": "28592", "image": "28592.png", "conversations": [ { "from": "human", "question": "Mateo has $8.00. Does he have enough to buy a mop and a watering can?\n" }, { "from": "gpt", "solution": "Add the price of a mop and the price of a watering can:\n\n$3.00 + $6.00 = $9.00\n\n$9.00 is more than $8.00. Mateo does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| wrench | $8.00 |\n| mop | $3.00 |\n| bucket | $4.00 |\n| padlock | $5.00 |\n| watering can | $6.00 |" } ] }, { "id": "28594", "image": "28594.png", "conversations": [ { "from": "human", "question": "The staff of a newspaper examined the number of copies sold over the past 5 days. How many copies in total were sold on Saturday and Monday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nSaturday: 4,149\nMonday: 4,428\n\nNow add: 4,149 + 4,428 = 8,577.\n\n8,577 copies were sold on Saturday and Monday.", "answer": "8,577", "table": "**Newspapers sold**\n\n| Day | Number of newspapers |\n| --- | --- |\n| Thursday | 4,142 |\n| Friday | 4,336 |\n| Saturday | 4,149 |\n| Sunday | 3,228 |\n| Monday | 4,428 |" } ] }, { "id": "28600", "image": "28600.png", "conversations": [ { "from": "human", "question": "An economics student recorded the amount of per-capita aid that the U.S. gave to various countries during the 1900s. How much aid did Pakistan receive per capita in 1990?\n" }, { "from": "gpt", "solution": "First, find the row for Pakistan. Then find the number in the 1990 column.\n\nThis number is $10.00. In 1990, Pakistan received $10 in aid per capita.", "answer": "10", "table": "**Aid received per capita from the U.S.**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 1980 | 1990 |\n| Afghanistan | $2 | $7 |\n| Pakistan | $14 | $10 |\n| Libya | $5 | $5 |" } ] }, { "id": "28602", "image": "28602.png", "conversations": [ { "from": "human", "question": "Each year the Lakeside School District publishes its annual budget, which includes information on the sports program's per-student spending. According to the table, what was the rate of change between 2006 and 2007?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{$44 - $38}{2007 - 2006}\n = \\frac{$44 - $38}{1 year}\n = \\frac{$6}{1 year}\n = $6 per year\nThe rate of change between 2006 and 2007 was $6 per year.", "answer": "6", "table": "**Lakeside School District sports budget**\n\n| Year | Per-student budget |\n| --- | --- |\n| 2006 | $38 |\n| 2007 | $44 |\n| 2008 | $41 |\n| 2009 | $41 |\n| 2010 | $41 |" } ] }, { "id": "28604", "image": "28604.png", "conversations": [ { "from": "human", "question": "Tori counted the number of peanuts in each bag of trail mix. How many bags had exactly 12 peanuts?\n" }, { "from": "gpt", "solution": "For the number 12, the stem is 1, and the leaf is 2. Find the row where the stem is 1. In that row, count all the leaves equal to 2.\n\nYou counted 1 leaf, which is blue in the stem-and-leaf plot above. 1 bag had exactly12 peanuts.", "answer": "1", "table": "**Peanuts per bag of trail mix**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 2, 3, 4, 5, 6, 7, 8 |\n| 2 | 3, 4, 6 |\n| 3 | 5, 5 |\n| 4 | 1, 4 |" } ] }, { "id": "28606", "image": "28606.png", "conversations": [ { "from": "human", "question": "Each branch has 2 caterpillars. How many caterpillars are on 6 branches?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 12 caterpillars on 6 branches.", "answer": "12", "table": "| Number of branches | Number of caterpillars |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | 6 |\n| 4 | 8 |\n| 5 | 10 |\n| 6 | ? |" } ] }, { "id": "28608", "image": "28608.png", "conversations": [ { "from": "human", "question": "How much money does Oliver need to buy a spelling workbook and a textbook?\n" }, { "from": "gpt", "solution": "Add the price of a spelling workbook and the price of a textbook:\n\n$20.00 + $18.00 = $38.00\n\nOliver needs $38.00.", "answer": "38", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| textbook | $18.00 |\n| geography book | $25.00 |\n| coloring book | $20.00 |\n| spelling workbook | $20.00 |\n| picture book | $20.00 |" } ] }, { "id": "28616", "image": "28616.png", "conversations": [ { "from": "human", "question": "How much money does Darell need to buy a gray sweatshirt, a pair of khaki pants, and a pair of shoes?\n" }, { "from": "gpt", "solution": "Find the total cost of a gray sweatshirt, a pair of khaki pants, and a pair of shoes.\n\n$16.71 + $22.63 + $16.20 = $55.54\n\nDarell needs $55.54.", "answer": "55.54", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pair of sweat pants | $17.26 |\n| pair of boots | $38.33 |\n| gray sweatshirt | $16.71 |\n| pair of shoes | $16.20 |\n| pair of khaki pants | $22.63 |" } ] }, { "id": "28623", "image": "28623.png", "conversations": [ { "from": "human", "question": "Scott has $167. How much money will Scott have left if he buys a comedy show ticket and a figure skating ticket?\n" }, { "from": "gpt", "solution": "Find the total cost of a comedy show ticket and a figure skating ticket.\n\n$50 + $58 = $108\n\nNow subtract the total cost from the starting amount.\n\n$167 - $108 = $59\n\nScott will have $59 left.", "answer": "59", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| figure skating ticket | $58 |\n| comedy show ticket | $50 |\n| football ticket | $59 |\n| orchestra ticket | $41 |\n| boat show ticket | $17 |" } ] }, { "id": "28625", "image": "28625.png", "conversations": [ { "from": "human", "question": "Over a weekend, Julie counted the number of single scoop ice creams ordered at her store. She tracked the flavors and the day on which it was ordered. What is the probability that a randomly selected ice cream was ordered on a Saturday and was vanilla? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the ice cream was ordered on a Saturday\" and B be the event \"the ice cream was vanilla\".\nTo find the probability that a ice cream was ordered on a Saturday and was vanilla, first identify the sample space and the event.\nThe outcomes in the sample space are the different ice creams. Each ice cream is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the ice cream was ordered on a Saturday and was vanilla\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the ice cream was ordered on a Saturday and was vanilla\", so look at the table to see how many ice creams were ordered on a Saturday and were vanilla.\nThe number of ice creams that were ordered on a Saturday and were vanilla is 6.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of ice creams.\n3 + 5 + 6 + 6 = 20\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{6}{20}\n = \\frac{3}{10}\nThe probability that a ice cream was ordered on a Saturday and was vanilla is \\frac{3}{10}.", "answer": "3/10", "table": "| | Chocolate | Vanilla |\n| --- | --- | --- |\n| Saturday | 3 | 6 |\n| Sunday | 5 | 6 |" } ] }, { "id": "28630", "image": "28630.png", "conversations": [ { "from": "human", "question": "Some students compared how many clubs they belong to. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 6, 10, 8, 10, 6, 2\n\nFirst, count how many numbers are in the group.\n\nThere are 7 numbers.\n\nNow add all the numbers together:\n\n7 + 6 + 10 + 8 + 10 + 6 + 2 = 49\n\nNow divide the sum by the number of numbers:\n\n49 ÷ 7 = 7\n\nThe mean is 7.", "answer": "7", "table": "**Clubs**\n\n| Name | Number of clubs |\n| --- | --- |\n| Tracy | 7 |\n| Pam | 6 |\n| Rose | 10 |\n| Andrew | 8 |\n| Damon | 10 |\n| Martin | 6 |\n| Walter | 2 |" } ] }, { "id": "28641", "image": "28641.png", "conversations": [ { "from": "human", "question": "Braden has $32. Does he have enough to buy a science book and a spelling workbook?\n" }, { "from": "gpt", "solution": "Add the price of a science book and the price of a spelling workbook:\n\n$22 + $10 = $32\n\nSince Braden has $32, he has just enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| textbook | $23 |\n| science book | $22 |\n| spelling workbook | $10 |\n| mystery novel | $12 |" } ] }, { "id": "28655", "image": "28655.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $740, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $740, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $650 | 13,300 | 4,200 |\n| $680 | 10,300 | 8,300 |\n| $710 | 7,300 | 12,400 |\n| $740 | 4,300 | 16,500 |\n| $770 | 1,300 | 20,600 |" } ] }, { "id": "28658", "image": "28658.png", "conversations": [ { "from": "human", "question": "How much money does Sanjay need to buy a navy blue bath mat, a red pillowcase, and a beach towel?\n" }, { "from": "gpt", "solution": "Find the total cost of a navy blue bath mat, a red pillowcase, and a beach towel.\n\n$5.44 + $4.86 + $9.42 = $19.72\n\nSanjay needs $19.72.", "answer": "19.72", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| red pillowcase | $4.86 |\n| navy blue bath mat | $5.44 |\n| beach towel | $9.42 |\n| yellow bath towel | $4.02 |\n| pillow | $8.25 |" } ] }, { "id": "28660", "image": "28660.png", "conversations": [ { "from": "human", "question": "Angie has $95.00. Does she have enough to buy a television and a microphone?\n" }, { "from": "gpt", "solution": "Add the price of a television and the price of a microphone:\n\n$80.00 + $13.00 = $93.00\n\n$93.00 is less than $95.00. Angie does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| calculator | $20.00 |\n| microphone | $13.00 |\n| television | $80.00 |\n| DVD | $17.00 |" } ] }, { "id": "28665", "image": "28665.png", "conversations": [ { "from": "human", "question": "How much would it cost to buy 5 pounds of unshelled peanuts?\n" }, { "from": "gpt", "solution": "Find the cost of the unshelled peanuts. Multiply the price per pound by the number of pounds.\n\n$1.58 × 5 = $7.90\n\nIt would cost $7.90.", "answer": "7.90", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| garlic peanuts | $1.38 per lb |\n| salted peanuts | $2.54 per lb |\n| honey roasted peanuts | $2.27 per lb |\n| unshelled peanuts | $1.58 per lb |" } ] }, { "id": "28670", "image": "28670.png", "conversations": [ { "from": "human", "question": "An Idaho farmer has been monitoring crop prices over time. In 2004, how much more did lentils cost per cwt than canola?\n" }, { "from": "gpt", "solution": "Find the 2004 column. Find the numbers in this column for lentils and canola.\n\nlentils: $14.00\ncanola: $11.00\n\nNow subtract:\n\n$14.00 − $11.00 = $3.00\n\nIn 2004, lentils cost $3 more per cwt than canola.", "answer": "3", "table": "**Idaho crop prices per cwt**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Crop | 2004 | 2005 |\n| Lentils | $14 | $12 |\n| Timothy seed | $7 | $7 |\n| Canola | $11 | $10 |" } ] }, { "id": "28672", "image": "28672.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $990, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $990, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $960 | 18,400 | 13,800 |\n| $970 | 14,100 | 15,600 |\n| $980 | 9,800 | 17,400 |\n| $990 | 5,500 | 19,200 |\n| $1,000 | 1,200 | 21,000 |" } ] }, { "id": "28673", "image": "28673.png", "conversations": [ { "from": "human", "question": "How much more does a waffle maker cost than a DVD?\n" }, { "from": "gpt", "solution": "Subtract the price of a DVD from the price of a waffle maker.\n\n$39 - $16 = $23\n\nA waffle maker costs $23 more than a DVD.", "answer": "23", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| television | $50 |\n| waffle maker | $39 |\n| DVD | $16 |\n| camera | $54 |\n| cell phone | $77 |\n| blender | $16 |" } ] }, { "id": "28687", "image": "28687.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. At which stop does the train arrive at 10.20 A.M.?\n" }, { "from": "gpt", "solution": "Find 10:20 A. M. on the schedule. The train arrives at the restaurant district at 10:20 A. M.", "answer": "restaurant district", "table": "**Subway train schedule**\n\n| Location | Time |\n| --- | --- |\n| art gallery district | 9:15 A.M. |\n| university | 9:35 A.M. |\n| restaurant district | 10:20 A.M. |\n| shopping district | 10:45 A.M. |\n| waterfront | 11:35 A.M. |\n| civic center | 12:15 P.M. |\n| history museum | 1:05 P.M. |" } ] }, { "id": "28694", "image": "28694.png", "conversations": [ { "from": "human", "question": "A transportation analyst compared various bridges' tolls. How much is the toll for a car on the Oakland Bay bridge?\n" }, { "from": "gpt", "solution": "First, find the row for Oakland Bay. Then find the number in the Car column.\n\nThis number is $4.00. On the Oakland Bay bridge, the toll for a car is $4.", "answer": "4", "table": "**Bridge tolls**\n\n| Bridge | Truck | Car |\n| --- | --- | --- |\n| Oakland Bay | $6 | $4 |\n| Tacoma Narrows | $4 | $3 |\n| Fort Madison | $4 | $1 |" } ] }, { "id": "28695", "image": "28695.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which stop does the bus depart from at 10.50 A.M.?\n" }, { "from": "gpt", "solution": "Find 10:50 A. M. on the schedule. The bus departs from the grocery store at 10:50 A. M.", "answer": "grocery store", "table": "**Bus schedule**\n\n| Location | Time |\n| --- | --- |\n| the kickball field | 10:00 A.M. |\n| the library | 10:10 A.M. |\n| the playground | 10:30 A.M. |\n| the grocery store | 10:50 A.M. |\n| the mall | 11:05 A.M. |\n| the school | 11:30 A.M. |\n| the post office | 11:35 A.M. |\n| the science museum | 12:05 P.M. |\n| the zoo | 12:45 P.M. |\n| the doctor's office | 1:30 P.M. |" } ] }, { "id": "28696", "image": "28696.png", "conversations": [ { "from": "human", "question": "Mr. Woodard, a track coach, recorded the sizes of all the nearby track teams. How many teams have at least 20 members but fewer than 50 members?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 2, 3, and 4.\n\nYou counted 5 leaves, which are blue in the stem-and-leaf plot above. 5 teams have at least 20 members but fewer than 50 members.", "answer": "5", "table": "**Track team sizes (number of members)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 5 |\n| 2 | 4 |\n| 3 | 3, 5, 7 |\n| 4 | 0 |\n| 5 | 9 |\n| 6 | |\n| 7 | 2 |\n| 8 | |\n| 9 | 0 |" } ] }, { "id": "28710", "image": "28710.png", "conversations": [ { "from": "human", "question": "If Patty buys 5 kilograms of puffed rice and 4 kilograms of bran flakes, how much will she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the puffed rice. Multiply:\n\n$2.71 × 5 = $13.55\n\nFind the cost of the bran flakes. Multiply:\n\n$1.39 × 4 = $5.56\n\nNow find the total cost by adding:\n\n$13.55 + $5.56 = $19.11\n\nShe will spend $19.11.", "answer": "19.11", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| bran flakes | $1.39 per kilogram |\n| muesli | $2.36 per kilogram |\n| puffed rice | $2.71 per kilogram |\n| puffed wheat | $1.31 per kilogram |" } ] }, { "id": "28711", "image": "28711.png", "conversations": [ { "from": "human", "question": "Mike went on a bird watching trip and jotted down the number of birds he saw each day. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n8, 8, 7, 10, 10\n\nFirst, arrange the numbers from least to greatest:\n\n7, 8, 8, 10, 10\n\nNow find the number in the middle.\n\n7, 8, 8, 10, 10\n\nThe number in the middle is 8.\n\nThe median is 8.", "answer": "8", "table": "**Number of birds**\n\n| Day | Number of birds |\n| --- | --- |\n| Wednesday | 8 |\n| Thursday | 8 |\n| Friday | 7 |\n| Saturday | 10 |\n| Sunday | 10 |" } ] }, { "id": "28724", "image": "28724.png", "conversations": [ { "from": "human", "question": "A farm equipment company kept a record of the number of tractors made each month. How many tractors did the company make in total in December and March?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nDecember: 6,678\nMarch: 2,183\n\nNow add: 6,678 + 2,183 = 8,861.\n\nThe company made 8,861 tractors in December and March.", "answer": "8,861", "table": "**Tractors made**\n\n| Month | Number of tractors |\n| --- | --- |\n| December | 6,678 |\n| January | 1,797 |\n| February | 1,315 |\n| March | 2,183 |" } ] }, { "id": "28734", "image": "28734.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{10 - 19}{8 - 7}\n = \\frac{-9}{1}\n = -9\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{0 - 19}{9 - 7}\n = \\frac{-19}{2}\n = -9\\frac{1}{2}\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 7 | 19 |\n| 8 | 10 |\n| 9 | 0 |" } ] }, { "id": "28739", "image": "28739.png", "conversations": [ { "from": "human", "question": "For a science fair project, Jamal tracked the temperature each day. How many temperature readings were at least 17°C but less than 44°C?\n" }, { "from": "gpt", "solution": "Find the row with stem 1. Count all the leaves greater than or equal to 7.\n\nCount all the leaves in the rows with stems 2 and 3.\n\nIn the row with stem 4, count all the leaves less than 4.\n\nYou counted 17 leaves, which are blue in the stem-and-leaf plots above. 17 temperature readings were at least 17°C but less than 44°C.", "answer": "17", "table": "**Daily temperatures (°C)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1, 1, 4, 7, 7, 8, 8, 9 |\n| 2 | 7, 7, 8 |\n| 3 | 1, 1, 3, 5, 6, 6, 7 |\n| 4 | 1, 3 |" } ] }, { "id": "28748", "image": "28748.png", "conversations": [ { "from": "human", "question": "A pottery factory kept track of the number of broken plates per shipment last week. How many shipments had exactly 76 broken plates?\n" }, { "from": "gpt", "solution": "For the number 76, the stem is 7, and the leaf is 6. Find the row where the stem is 7. In that row, count all the leaves equal to 6.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 shipments had exactly 76 broken plates.", "answer": "3", "table": "**Broken plates per shipment**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 1, 1, 7 |\n| 3 | 1, 7, 9 |\n| 4 | 6 |\n| 5 | 9 |\n| 6 | 4 |\n| 7 | 6, 6, 6 |\n| 8 | 6 |\n| 9 | 0 |" } ] }, { "id": "28753", "image": "28753.png", "conversations": [ { "from": "human", "question": "The school district compared how many swings each elementary school has. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n2, 2, 4, 2, 4\n\nFirst, arrange the numbers from least to greatest:\n\n2, 2, 2, 4, 4\n\nNow count how many times each number appears.\n\n2 appears 3 times.\n4 appears 2 times.\n\nThe number that appears most often is 2.\n\nThe mode is 2.", "answer": "2", "table": "**Swings**\n\n| School | Number of swings |\n| --- | --- |\n| Hillside Elementary | 2 |\n| Canyon Elementary | 2 |\n| Sierra Elementary | 4 |\n| Valley Elementary | 2 |\n| Roseville Elementary | 4 |" } ] }, { "id": "28765", "image": "28765.png", "conversations": [ { "from": "human", "question": "A juice shop tracked how many smoothies it sold in the past 5 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n87, 83, 85, 85, 86\n\nFirst, arrange the numbers from least to greatest:\n\n83, 85, 85, 86, 87\n\nNow find the number in the middle.\n\n83, 85, 85, 86, 87\n\nThe number in the middle is 85.\n\nThe median is 85.", "answer": "85", "table": "**Smoothies sold**\n\n| Day | Number of smoothies |\n| --- | --- |\n| Wednesday | 87 |\n| Thursday | 83 |\n| Friday | 85 |\n| Saturday | 85 |\n| Sunday | 86 |" } ] }, { "id": "28768", "image": "28768.png", "conversations": [ { "from": "human", "question": "At their family reunion, the Henson family recorded everyone's age. How many people are exactly 76 years old?\n" }, { "from": "gpt", "solution": "For the number 76, the stem is 7, and the leaf is 6. Find the row where the stem is 7. In that row, count all the leaves equal to 6.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 people are exactly 76 years old.", "answer": "2", "table": "**Ages**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 5, 9 |\n| 3 | 3, 7, 9 |\n| 4 | 5, 6 |\n| 5 | 4, 5, 7, 8, 9 |\n| 6 | 6, 6, 6 |\n| 7 | 1, 4, 6, 6 |\n| 8 | 1, 5, 6 |" } ] }, { "id": "28771", "image": "28771.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{11 - 19}{19 - 18}\n = \\frac{-8}{1}\n = -8\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{3 - 11}{20 - 19}\n = \\frac{-8}{1}\n = -8\nThe two rates of change are the same.\n8.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 18 | 19 |\n| 19 | 11 |\n| 20 | 3 |" } ] }, { "id": "28772", "image": "28772.png", "conversations": [ { "from": "human", "question": "How much more does a book about Asia cost than a book about snakes?\n" }, { "from": "gpt", "solution": "Subtract the price of a book about snakes from the price of a book about Asia.\n\n$20.00 - $19.00 = $1.00\n\nA book about Asia costs $1.00 more than a book about snakes.", "answer": "1", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| book about snakes | $19.00 |\n| book about Europe | $25.00 |\n| book about art | $21.00 |\n| book about Asia | $20.00 |\n| book about helicopters | $11.00 |\n| book about basketball | $25.00 |" } ] }, { "id": "28779", "image": "28779.png", "conversations": [ { "from": "human", "question": "Each pile has 10 books. How many books are in 6 piles?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 60 books in 6 piles.", "answer": "60", "table": "| Number of piles | Number of books |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | 40 |\n| 5 | 50 |\n| 6 | ? |" } ] }, { "id": "28783", "image": "28783.png", "conversations": [ { "from": "human", "question": "An environmental agency examined how many trees were planted by different organizations. In all, how many trees were planted by Let it Grow and Plant It?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nLet it Grow: 522\nPlant It: 150\n\nNow add: 522 + 150 = 672.\n\nIn all, 672 trees were planted by Let it Grow and Plant It.", "answer": "672", "table": "**Trees planted**\n\n| Organization | Number of trees planted |\n| --- | --- |\n| Let it Grow | 522 |\n| Plant It | 150 |\n| Dreaming Green | 296 |" } ] }, { "id": "28790", "image": "28790.png", "conversations": [ { "from": "human", "question": "How much money does Ezra need to buy an egg sandwich, a bowl of melon, and a spinach omelette?\n" }, { "from": "gpt", "solution": "Find the total cost of an egg sandwich, a bowl of melon, and a spinach omelette.\n\n$7.00 + $3.00 + $3.00 = $13.00\n\nEzra needs $13.00.", "answer": "13", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| spinach omelette | $3.00 |\n| bowl of melon | $3.00 |\n| breakfast burrito | $6.00 |\n| egg sandwich | $7.00 |" } ] }, { "id": "28802", "image": "28802.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which class begins at 2.20 P.M.?\n" }, { "from": "gpt", "solution": "Find 2:20 P. M. on the schedule. Beginning Programming class begins at 2:20 P. M.", "answer": "Beginning Programming class", "table": "**Computer lab schedule**\n\n| Class | Begin | End |\n| --- | --- | --- |\n| Web Page Design | 9:10 A.M. | 10:10 A.M. |\n| Advanced Typing | 10:15 A.M. | 11:40 A.M. |\n| Spreadsheets | 11:55 A.M. | 12:40 P.M. |\n| Introduction to Typing | 12:50 P.M. | 2:10 P.M. |\n| Beginning Programming | 2:20 P.M. | 3:10 P.M. |\n| Math with Computers | 3:25 P.M. | 4:05 P.M. |\n| Computer Graphics | 4:20 P.M. | 4:55 P.M. |" } ] }, { "id": "28805", "image": "28805.png", "conversations": [ { "from": "human", "question": "Mrs. Oliver hosts an annual art contest for kids, and she keeps a record of the number of entries each year. According to the table, what was the rate of change between 2006 and 2007?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{21 entries - 32 entries}{2007 - 2006}\n = \\frac{21 entries - 32 entries}{1 year}\n = \\frac{-11 entries}{1 year}\n = -11 entries per year\nThe rate of change between 2006 and 2007 was - 11 entries per year.", "answer": "-11", "table": "**Art contest entries**\n\n| Year | Number of entries |\n| --- | --- |\n| 2006 | 32 |\n| 2007 | 21 |\n| 2008 | 23 |\n| 2009 | 34 |\n| 2010 | 27 |" } ] }, { "id": "28808", "image": "28808.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does Tennis class begin?\n" }, { "from": "gpt", "solution": "Find Tennis class on the schedule. Find the beginning time for Tennis class.\n\nTennis: 1:20 P. M.", "answer": "1:20 P.M.", "table": "**Gym teacher's schedule**\n\n| Class | Begin | End |\n| --- | --- | --- |\n| Running | 7:55 A.M. | 9:10 A.M. |\n| Badminton | 9:15 A.M. | 10:10 A.M. |\n| Social Dance | 10:15 A.M. | 11:50 A.M. |\n| Ballet | 12:05 P.M. | 1:10 P.M. |\n| Tennis | 1:20 P.M. | 1:50 P.M. |\n| Aerobics | 1:55 P.M. | 2:30 P.M. |\n| Basketball | 2:40 P.M. | 3:40 P.M. |\n| Softball | 3:50 P.M. | 4:45 P.M. |" } ] }, { "id": "28821", "image": "28821.png", "conversations": [ { "from": "human", "question": "In science class, Brittany is learning about places with extreme temperatures. She learns that the highest temperature ever recorded was in Death Valley, California. She also learns that the lowest temperature ever recorded was in Vostok Station, Antarctica. The record-setting temperatures of the two locations are shown in the table. Which location's temperature was further from zero?\n" }, { "from": "gpt", "solution": "A positive number means the temperature was above zero. A negative number means the temperature was below zero.\nTo find which temperature was further from zero, use absolute value. Absolute value tells you how far a temperature is from zero.\nDeath Valley: |134| = 134\nVostok Station: |-128| = 128\nThe temperature of Death Valley was further from zero. It was 134 degrees above zero.", "answer": "Death Valley", "table": "| Location | Temperature (°F) |\n| --- | --- |\n| Death Valley | 134 |\n| Vostok Station | -128 |" } ] }, { "id": "28822", "image": "28822.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{11 - 7}{10 - 9}\n = \\frac{4}{1}\n = 4\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{15 - 7}{11 - 9}\n = \\frac{8}{2}\n = 4\nThe two rates of change are the same.\nIf you checked the rate of change between rows 2 and 3, you would find that it is also 4.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 9 | 7 |\n| 10 | 11 |\n| 11 | 15 |" } ] }, { "id": "28823", "image": "28823.png", "conversations": [ { "from": "human", "question": "An archer recalled how many times he hit the bull's-eye in the past 5 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n4, 9, 8, 7, 2\n\nFirst, arrange the numbers from least to greatest:\n\n2, 4, 7, 8, 9\n\nNow find the number in the middle.\n\n2, 4, 7, 8, 9\n\nThe number in the middle is 7.\n\nThe median is 7.", "answer": "7", "table": "**Bull's-eyes**\n\n| Day | Number of bull's-eyes |\n| --- | --- |\n| Wednesday | 4 |\n| Thursday | 9 |\n| Friday | 8 |\n| Saturday | 7 |\n| Sunday | 2 |" } ] }, { "id": "28844", "image": "28844.png", "conversations": [ { "from": "human", "question": "Maddie has $17.00. Does she have enough to buy a broom and a measuring tape?\n" }, { "from": "gpt", "solution": "Add the price of a broom and the price of a measuring tape:\n\n$8.00 + $9.00 = $17.00\n\nSince Maddie has $17.00, she has just enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| wrench | $8.00 |\n| measuring tape | $9.00 |\n| mop | $7.00 |\n| broom | $8.00 |" } ] }, { "id": "28845", "image": "28845.png", "conversations": [ { "from": "human", "question": "The manager of a party supply store researched how many balloons it sold in the past 7 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n44, 34, 45, 37, 25, 48, 37\n\nFirst, arrange the numbers from least to greatest:\n\n25, 34, 37, 37, 44, 45, 48\n\nNow find the number in the middle.\n\n25, 34, 37, 37, 44, 45, 48\n\nThe number in the middle is 37.\n\nThe median is 37.", "answer": "37", "table": "**Balloons sold**\n\n| Day | Number of balloons |\n| --- | --- |\n| Monday | 44 |\n| Tuesday | 34 |\n| Wednesday | 45 |\n| Thursday | 37 |\n| Friday | 25 |\n| Saturday | 48 |\n| Sunday | 37 |" } ] }, { "id": "28849", "image": "28849.png", "conversations": [ { "from": "human", "question": "Mrs. Dyer hosts an annual art contest for kids, and she keeps a record of the number of entries each year. According to the table, what was the rate of change between 2012 and 2013?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{32 entries - 19 entries}{2013 - 2012}\n = \\frac{32 entries - 19 entries}{1 year}\n = \\frac{13 entries}{1 year}\n = 13 entries per year\nThe rate of change between 2012 and 2013 was 13 entries per year.", "answer": "13", "table": "**Art contest entries**\n\n| Year | Number of entries |\n| --- | --- |\n| 2011 | 36 |\n| 2012 | 19 |\n| 2013 | 32 |\n| 2014 | 35 |\n| 2015 | 35 |" } ] }, { "id": "28855", "image": "28855.png", "conversations": [ { "from": "human", "question": "A city monitored how many cars went through a certain intersection in the past 4 days. How many more cars went through the intersection on Friday than on Wednesday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nFriday: 8,340\nWednesday: 1,868\n\nNow subtract: 8,340 - 1,868 = 6,472.\n\n6,472 more cars went through the intersection on Friday.", "answer": "6,472", "table": "**Cars at an intersection**\n\n| Day | Number of cars |\n| --- | --- |\n| Tuesday | 4,026 |\n| Wednesday | 1,868 |\n| Thursday | 5,137 |\n| Friday | 8,340 |" } ] }, { "id": "28862", "image": "28862.png", "conversations": [ { "from": "human", "question": "Kenny kept track of how long it took to finish his homework each day. According to the table, what was the rate of change between Monday and Tuesday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{39 minutes - 38 minutes}{1 day}\n = \\frac{1 minute}{1 day}\n = 1 minute per day\nThe rate of change between Monday and Tuesday was 1 minute per day.", "answer": "1", "table": "**Time Kenny spent on homework**\n\n| Day | Minutes |\n| --- | --- |\n| Monday | 38 |\n| Tuesday | 39 |\n| Wednesday | 46 |\n| Thursday | 43 |\n| Friday | 44 |" } ] }, { "id": "28867", "image": "28867.png", "conversations": [ { "from": "human", "question": "Each tin has 5 walnut cookies. How many walnut cookies are in 5 tins?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 25 walnut cookies in 5 tins.", "answer": "25", "table": "| Number of tins | Number of walnut cookies |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | 20 |\n| 5 | ? |" } ] }, { "id": "28874", "image": "28874.png", "conversations": [ { "from": "human", "question": "How much money does Miguel need to buy 9 birthday balloons?\n" }, { "from": "gpt", "solution": "Find the total cost of 9 birthday balloons by multiplying 9 times the price of a birthday balloon.\n\n$1.80 × 9 = $16.20\n\nMiguel needs $16.20.", "answer": "16.20", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| greeting card | $3.05 |\n| birthday balloon | $1.80 |\n| kazoo | $1.38 |\n| package of confetti | $1.01 |" } ] }, { "id": "28889", "image": "28889.png", "conversations": [ { "from": "human", "question": "The French club made a table showing the ages of its members. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n8, 7, 7, 10, 8, 12, 8, 7\n\nFirst, find the greatest number. The greatest number is 12.\n\nNext, find the least number. The least number is 7.\n\nSubtract the least number from the greatest number:\n\n12 − 7 = 5\n\nThe range is 5.", "answer": "5", "table": "**Club members' ages**\n\n| Name | Age (years) |\n| --- | --- |\n| Zeke | 8 |\n| David | 7 |\n| Haley | 7 |\n| Andy | 10 |\n| Jasper | 8 |\n| Bridgette | 12 |\n| Cole | 8 |\n| Molly | 7 |" } ] }, { "id": "28890", "image": "28890.png", "conversations": [ { "from": "human", "question": "Patrick has $1.00. Does he have enough to buy a yellow pepper and a plum?\n" }, { "from": "gpt", "solution": "Add the price of a yellow pepper and the price of a plum:\n\n$0.53 + $0.37 = $0.90\n\n$0.90 is less than $1.00. Patrick does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| plum | $0.37 |\n| tangerine | $0.25 |\n| pear | $0.30 |\n| yellow pepper | $0.53 |\n| banana | $0.49 |\n| lemon | $0.40 |" } ] }, { "id": "28896", "image": "28896.png", "conversations": [ { "from": "human", "question": "Jamal, a candy store employee, placed peppermint candies into jars of various sizes. How many jars had at least 40 peppermint candies?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 4 and 5.\n\nYou counted 5 leaves, which are blue in the stem-and-leaf plot above. 5 jars had at least 40 peppermint candies.", "answer": "5", "table": "**Peppermint candies per jar**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 1, 3, 4, 6, 9 |\n| 3 | 4, 7, 7, 8, 8 |\n| 4 | 9 |\n| 5 | 1, 1, 4, 5 |" } ] }, { "id": "28902", "image": "28902.png", "conversations": [ { "from": "human", "question": "Keenan has $0.11. Does he have enough to buy a gummy bear and a gum drop?\n" }, { "from": "gpt", "solution": "Add the price of a gummy bear and the price of a gum drop:\n\n$0.02 + $0.08 = $0.10\n\n$0.10 is less than $0.11. Keenan does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| piece of licorice | $0.02 |\n| gum drop | $0.08 |\n| gummy bear | $0.02 |\n| peppermint candy | $0.01 |" } ] }, { "id": "28910", "image": "28910.png", "conversations": [ { "from": "human", "question": "A game show program recorded the scores of its contestants. How many contestants scored more than 7?\n" }, { "from": "gpt", "solution": "Find the rows for 8, 9, and 10. Add the frequencies for these rows.\n\nAdd:\n\n8 + 9 + 7 = 24\n\n24 contestants scored more than 7.", "answer": "24", "table": "**Scores on a quiz show**\n\n| Score | Frequency |\n| --- | --- |\n| 5 | 13 |\n| 6 | 14 |\n| 7 | 20 |\n| 8 | 8 |\n| 9 | 9 |\n| 10 | 7 |" } ] }, { "id": "28918", "image": "28918.png", "conversations": [ { "from": "human", "question": "How much money does Isaac need to buy a dry erase marker and an eraser?\n" }, { "from": "gpt", "solution": "Add the price of a dry erase marker and the price of an eraser:\n\n$0.65 + $0.41 = $1.06\n\nIsaac needs $1.06.", "answer": "1.06", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| box of paper clips | $0.90 |\n| eraser | $0.41 |\n| pencil sharpener | $0.31 |\n| dry erase marker | $0.65 |" } ] }, { "id": "28936", "image": "28936.png", "conversations": [ { "from": "human", "question": "At family beach day, the Newport Recreation Department offered a range of activities. Are there fewer people collecting shells or making sand castles?\n" }, { "from": "gpt", "solution": "Add the numbers in the Collecting shells row. Then, add the numbers in the Making sand castles row.\n\ncollecting shells: 2 + 7 = 9\nmaking sand castles: 18 + 17 = 35\n\n9 is less than 35. Fewer people are collecting shells.", "answer": "collecting shells", "table": "**Family beach day**\n\n| Activity | Parents | Children |\n| --- | --- | --- |\n| Walking | 9 | 6 |\n| Making sand castles | 18 | 17 |\n| Collecting shells | 2 | 7 |\n| Playing volleyball | 7 | 12 |\n| Swimming | 19 | 20 |" } ] }, { "id": "28938", "image": "28938.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $1,075, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $1,075, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $935 | 15,700 | 1,900 |\n| $1,075 | 13,200 | 6,400 |\n| $1,215 | 10,700 | 10,900 |\n| $1,355 | 8,200 | 15,400 |\n| $1,495 | 5,700 | 19,900 |" } ] }, { "id": "28946", "image": "28946.png", "conversations": [ { "from": "human", "question": "How much money does Lester need to buy a book signed by a famous author and a photograph signed by a famous movie star?\n" }, { "from": "gpt", "solution": "Add the price of a book signed by a famous author and the price of a photograph signed by a famous movie star:\n\n$82 + $39 = $121\n\nLester needs $121.", "answer": "121", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| photograph signed by a famous movie star | $39 |\n| book signed by a famous author | $82 |\n| photograph signed by a famous singer | $68 |\n| CD signed by a famous band | $44 |" } ] }, { "id": "28949", "image": "28949.png", "conversations": [ { "from": "human", "question": "A machine at the candy factory dispensed different numbers of lemon-flavored candies into various bags. How many bags had exactly 50 lemon-flavored candies?\n" }, { "from": "gpt", "solution": "For the number 50, the stem is 5, and the leaf is 0. Find the row where the stem is 5. In that row, count all the leaves equal to 0.\n\nYou counted 1 leaf, which is blue in the stem-and-leaf plot above. 1 bag had exactly 50 lemon-flavored candies.", "answer": "1", "table": "**Lemon-flavored candies per bag**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 0, 3, 3, 9, 9 |\n| 3 | 1, 1, 1, 2, 5, 6, 8 |\n| 4 | 0, 7 |\n| 5 | 0, 3 |\n| 6 | 1, 3, 8, 9 |" } ] }, { "id": "28951", "image": "28951.png", "conversations": [ { "from": "human", "question": "Miles's classmates revealed how many science articles they read. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n25, 42, 30, 28, 30\n\nFirst, count how many numbers are in the group.\n\nThere are 5 numbers.\n\nNow add all the numbers together:\n\n25 + 42 + 30 + 28 + 30 = 155\n\nNow divide the sum by the number of numbers:\n\n155 ÷ 5 = 31\n\nThe mean is 31.", "answer": "31", "table": "**Science articles read**\n\n| Name | Number of science articles |\n| --- | --- |\n| Miles | 25 |\n| Henry | 42 |\n| Jen | 30 |\n| Beth | 28 |\n| Camille | 30 |" } ] }, { "id": "28960", "image": "28960.png", "conversations": [ { "from": "human", "question": "Each table has 10 chairs. How many chairs are at 6 tables?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 60 chairs at 6 tables.", "answer": "60", "table": "| Number of tables | Number of chairs |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | 40 |\n| 5 | 50 |\n| 6 | ? |" } ] }, { "id": "28966", "image": "28966.png", "conversations": [ { "from": "human", "question": "Some friends discussed the sizes of their coin collections. Who has the most coins?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 676.\n\nNow find the corresponding name. Hansen corresponds to 676.", "answer": "Hansen", "table": "**Coin collections**\n\n| Name | Number of coins |\n| --- | --- |\n| Aaliyah | 627 |\n| Steve | 662 |\n| Hansen | 676 |\n| Duncan | 672 |" } ] }, { "id": "28971", "image": "28971.png", "conversations": [ { "from": "human", "question": "Dakota purchased 5 kilograms of dark brown sugar, 5 kilograms of agave syrup, and 1 kilogram of maple syrup. What was the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the dark brown sugar. Multiply:\n\n$3 × 5 = $15\n\nFind the cost of the agave syrup. Multiply:\n\n$2 × 5 = $10\n\nFind the cost of the maple syrup. Multiply:\n\n$2 × 1 = $2\n\nNow find the total cost by adding:\n\n$15 + $10 + $2 = $27\n\nThe total cost was $27.", "answer": "27", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| maple syrup | $2 per kilogram |\n| dark brown sugar | $3 per kilogram |\n| powdered sugar | $3 per kilogram |\n| agave syrup | $2 per kilogram |" } ] }, { "id": "28974", "image": "28974.png", "conversations": [ { "from": "human", "question": "A baseball player paid attention to how many baseballs he hit in practice each day. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 5, 2, 5, 2, 5\n\nFirst, arrange the numbers from least to greatest:\n\n2, 2, 5, 5, 5, 7\n\nNow count how many times each number appears.\n\n2 appears 2 times.\n5 appears 3 times.\n7 appears 1 time.\n\nThe number that appears most often is 5.\n\nThe mode is 5.", "answer": "5", "table": "**Baseballs hit**\n\n| Day | Number of baseballs |\n| --- | --- |\n| Sunday | 7 |\n| Monday | 5 |\n| Tuesday | 2 |\n| Wednesday | 5 |\n| Thursday | 2 |\n| Friday | 5 |" } ] }, { "id": "28977", "image": "28977.png", "conversations": [ { "from": "human", "question": "Pete leads kayaking tours during the summer. He recorded the number of tours he gave last summer in a frequency chart. How many more tours did Pete give in July than in August?\n" }, { "from": "gpt", "solution": "The frequencies tell you how many kayaking tours Pete gave each month. Start by finding the number of tours Pete gave in July and August.\nPete gave 22 tours in July and 17 tours in August. Subtract to find the difference.\n22 − 17 = 5\nPete gave 5 more tours in July than in August.", "answer": "5", "table": "**Kayaking tours**\n\n| Month | Frequency |\n| --- | --- |\n| June | 18 |\n| July | 22 |\n| August | 17 |" } ] }, { "id": "28978", "image": "28978.png", "conversations": [ { "from": "human", "question": "The parks department compared how many basketball hoops there are at each park. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n8, 10, 3, 5, 1, 3, 2, 7\n\nFirst, find the greatest number. The greatest number is 10.\n\nNext, find the least number. The least number is 1.\n\nSubtract the least number from the greatest number:\n\n10 − 1 = 9\n\nThe range is 9.", "answer": "9", "table": "**Basketball hoops**\n\n| Park | Number of basketball hoops |\n| --- | --- |\n| Canal Park | 8 |\n| Westfield Park | 10 |\n| Mooreland Park | 3 |\n| Kelly Park | 5 |\n| Riverfront Park | 1 |\n| Otter Park | 3 |\n| Linden Park | 2 |\n| Pinehurst Park | 7 |" } ] }, { "id": "28979", "image": "28979.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{6 - 0}{17 - 16}\n = \\frac{6}{1}\n = 6\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{16 - 6}{18 - 17}\n = \\frac{10}{1}\n = 10\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 16 | 0 |\n| 17 | 6 |\n| 18 | 16 |" } ] }, { "id": "28981", "image": "28981.png", "conversations": [ { "from": "human", "question": "Helen, a journalism student, counted the number of pages in several major magazines. How many magazines had exactly 86 pages?\n" }, { "from": "gpt", "solution": "For the number 86, the stem is 8, and the leaf is 6. Find the row where the stem is 8. In that row, count all the leaves equal to 6.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 magazines had exactly 86 pages.", "answer": "4", "table": "**Pages per magazine**\n\n| Stem | Leaf |\n| --- | --- |\n| 5 | 7 |\n| 6 | 1 |\n| 7 | 0, 2, 7, 7 |\n| 8 | 0, 1, 5, 6, 6, 6, 6, 7 |\n| 9 | 0 |" } ] }, { "id": "28984", "image": "28984.png", "conversations": [ { "from": "human", "question": "Each restaurant table has 10 mustard bottles. How many mustard bottles are on 5 restaurant tables?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 50 mustard bottles on 5 restaurant tables.", "answer": "50", "table": "| Number of restaurant tables | Number of mustard bottles |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | 40 |\n| 5 | ? |" } ] }, { "id": "28989", "image": "28989.png", "conversations": [ { "from": "human", "question": "Curious about people's recycling behaviors, Anne put on some gloves and sifted through some recycling and trash bins. She kept count of the plastic type of each bottle and which bottles are properly dispensed. What is the probability that a randomly selected bottle is made of plastic #2 and is correctly placed? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the bottle is made of plastic #2\" and B be the event \"the bottle is correctly placed\".\nTo find the probability that a bottle is made of plastic #2 and is correctly placed, first identify the sample space and the event.\nThe outcomes in the sample space are the different bottles. Each bottle is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the bottle is made of plastic #2 and is correctly placed\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the bottle is made of plastic #2 and is correctly placed\", so look at the table to see how many bottles are made of plastic #2 and are correctly placed.\nThe number of bottles that are made of plastic #2 and are correctly placed is 5.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of bottles.\n5 + 2 + 2 + 4 = 13\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{5}{13}\nThe probability that a bottle is made of plastic #2 and is correctly placed is \\frac{5}{13}.", "answer": "5/13", "table": "| | Correctly placed | Incorrectly placed |\n| --- | --- | --- |\n| Plastic #2 | 5 | 2 |\n| Plastic #4 | 2 | 4 |" } ] }, { "id": "28990", "image": "28990.png", "conversations": [ { "from": "human", "question": "Maddie kept a tally of the number of emails she received each day for a week. According to the table, what was the rate of change between Monday and Tuesday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{6 emails - 8 emails}{1 day}\n = \\frac{-2 emails}{1 day}\n = -2 emails per day\nThe rate of change between Monday and Tuesday was - 2 emails per day.", "answer": "-2", "table": "**Emails Maddie received**\n\n| Day | Emails |\n| --- | --- |\n| Monday | 8 |\n| Tuesday | 6 |\n| Wednesday | 8 |\n| Thursday | 10 |\n| Friday | 1 |" } ] }, { "id": "28992", "image": "28992.png", "conversations": [ { "from": "human", "question": "How much money does Preston need to buy 7 cans of tuna fish?\n" }, { "from": "gpt", "solution": "Find the total cost of 7 cans of tuna fish by multiplying 7 times the price of a can of tuna fish.\n\n$1.54 × 7 = $10.78\n\nPreston needs $10.78.", "answer": "10.78", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| can of tuna fish | $1.54 |\n| can of cranberry sauce | $1.96 |\n| can of mushrooms | $1.55 |\n| jar of applesauce | $2.06 |\n| can of soup | $1.96 |" } ] }, { "id": "28995", "image": "28995.png", "conversations": [ { "from": "human", "question": "The teachers at an elementary school counted how many desks they had in their classrooms. Which teacher has the most desks?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 39.\n\nNow find the corresponding teacher. Mrs. Wong corresponds to 39.", "answer": "Mrs. Wong", "table": "**Desks in classrooms**\n\n| Teacher | Number of desks |\n| --- | --- |\n| Mrs. Wong | 39 |\n| Miss Jimenez | 30 |\n| Ms. Peters | 31 |\n| Mrs. Jensen | 35 |" } ] }, { "id": "29001", "image": "29001.png", "conversations": [ { "from": "human", "question": "Some companies compared how many phone calls they made. How many more phone calls did Tad's Coffee Company make than Critical Insight Consulting?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nTad's Coffee Company: 508\nCritical Insight Consulting: 186\n\nNow subtract: 508 - 186 = 322.\n\nTad's Coffee Company made 322 more phone calls than Critical Insight Consulting.", "answer": "322", "table": "**Phone calls**\n\n| Company | Number of phone calls |\n| --- | --- |\n| Brave New Day Corporation | 867 |\n| Critical Insight Consulting | 186 |\n| Northside Cycles | 608 |\n| Reardon Corporation | 347 |\n| Tad's Coffee Company | 508 |" } ] }, { "id": "29003", "image": "29003.png", "conversations": [ { "from": "human", "question": "How much money does Aiden need to buy a dog bowl and a dog leash?\n" }, { "from": "gpt", "solution": "Add the price of a dog bowl and the price of a dog leash:\n\n$8 + $7 = $15\n\nAiden needs $15.", "answer": "15", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| box of dog biscuits | $2 |\n| dog bowl | $8 |\n| fish bowl | $4 |\n| dog leash | $7 |" } ] }, { "id": "29007", "image": "29007.png", "conversations": [ { "from": "human", "question": "Owen found a list of the number of roller coasters at each amusement park in the state. How many amusement parks have at least 31 roller coasters but fewer than 47 roller coasters?\n" }, { "from": "gpt", "solution": "Find the row with stem 3. Count all the leaves greater than or equal to 1.\n\nIn the row with stem 4, count all the leaves less than 7.\n\nYou counted 6 leaves, which are blue in the stem-and-leaf plots above. 6 amusement parks have at least 31 roller coasters but fewer than 47 roller coasters.", "answer": "6", "table": "**Roller coasters per amusement park**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 3, 4, 7, 9 |\n| 2 | 0, 1, 7, 9 |\n| 3 | 6, 8, 8 |\n| 4 | 4, 4, 6, 7, 8, 8 |" } ] }, { "id": "29011", "image": "29011.png", "conversations": [ { "from": "human", "question": "In a recent election at Cline University, four people ran for student body president. What fraction of votes were for Jared? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many votes were for Jared.\n\n380\n\nFind how many votes there were in total.\n\n930 + 450 + 720 + 380 = 2,480\n\nDivide 380 by2,480.\n\n\\frac{380}{2,480}\n\nReduce the fraction.\n\n\\frac{380}{2,480} → \\frac{19}{124}\n\n\\frac{19}{124} of votes were for Jared.", "answer": "19/124", "table": "**Election results**\n\n| Candidate | Votes |\n| --- | --- |\n| Devon | 930 |\n| Martha | 450 |\n| Shelby | 720 |\n| Jared | 380 |" } ] }, { "id": "29015", "image": "29015.png", "conversations": [ { "from": "human", "question": "Keith went to the store. He bought 2 kilograms of Anaheim peppers. How much did he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the Anaheim peppers. Multiply the price per kilogram by the number of kilograms.\n\n$0.75 × 2 = $1.50\n\nHe spent $1.50.", "answer": "1.50", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| chili peppers | $0.88/kg |\n| red bell peppers | $1.34/kg |\n| purple bell peppers | $0.73/kg |\n| Anaheim peppers | $0.75/kg |" } ] }, { "id": "29018", "image": "29018.png", "conversations": [ { "from": "human", "question": "How much money does Darren need to buy a set of bunk beds and a hammock?\n" }, { "from": "gpt", "solution": "Add the price of a set of bunk beds and the price of a hammock:\n\n$67 + $83 = $150\n\nDarren needs $150.", "answer": "150", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| kitchen table | $90 |\n| hammock | $83 |\n| footstool | $21 |\n| set of bunk beds | $67 |" } ] }, { "id": "29021", "image": "29021.png", "conversations": [ { "from": "human", "question": "How much money does Garrett need to buy a map of Canada and a history book?\n" }, { "from": "gpt", "solution": "Add the price of a map of Canada and the price of a history book:\n\n$12 + $18 = $30\n\nGarrett needs $30.", "answer": "30", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| book of poems | $20 |\n| map of Canada | $12 |\n| atlas | $38 |\n| scrapbook | $10 |\n| history book | $18 |" } ] }, { "id": "29024", "image": "29024.png", "conversations": [ { "from": "human", "question": "Layla looked at her calendar to figure out how much time she spent babysitting each month. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n35, 38, 37, 39, 36, 38, 35, 38\n\nFirst, count how many numbers are in the group.\n\nThere are 8 numbers.\n\nNow add all the numbers together:\n\n35 + 38 + 37 + 39 + 36 + 38 + 35 + 38 = 296\n\nNow divide the sum by the number of numbers:\n\n296 ÷ 8 = 37\n\nThe mean is 37.", "answer": "37", "table": "**Hours of babysitting**\n\n| Month | Hours |\n| --- | --- |\n| December | 35 |\n| January | 38 |\n| February | 37 |\n| March | 39 |\n| April | 36 |\n| May | 38 |\n| June | 35 |\n| July | 38 |" } ] }, { "id": "29025", "image": "29025.png", "conversations": [ { "from": "human", "question": "A soccer coach asked the members of his team how many times they played soccer last week. How many people played soccer fewer than 2 times?\n" }, { "from": "gpt", "solution": "Find the rows for 0 and 1 time. Add the frequencies for these rows.\n\nAdd:\n\n16 + 18 = 34\n\n34 people played soccer fewer than 2 times.", "answer": "34", "table": "**Playing soccer last week**\n\n| Times played | Frequency |\n| --- | --- |\n| 0 | 16 |\n| 1 | 18 |\n| 2 | 5 |\n| 3 | 10 |\n| 4 | 9 |\n| 5 | 14 |" } ] }, { "id": "29037", "image": "29037.png", "conversations": [ { "from": "human", "question": "For a math assignment, Josiah researched the scores of the people competing on his favorite quiz show. How many people scored exactly 40 points?\n" }, { "from": "gpt", "solution": "For the number 40, the stem is 4, and the leaf is 0. Find the row where the stem is 4. In that row, count all the leaves equal to 0.\n\nYou counted 1 leaf, which is blue in the stem-and-leaf plot above. 1 person scored exactly 40 points.", "answer": "1", "table": "**Quiz show scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 2 |\n| 2 | 0 |\n| 3 | 1, 1 |\n| 4 | 0, 1, 8, 8 |\n| 5 | 5, 8 |\n| 6 | 2, 4, 5 |\n| 7 | 4, 6, 6 |" } ] }, { "id": "29041", "image": "29041.png", "conversations": [ { "from": "human", "question": "A pumpkin patch monitored the number of pumpkins sold each day. How many more pumpkins did the pumpkin patch sell on Monday than on Tuesday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nMonday: 786\nTuesday: 617\n\nNow subtract: 786 - 617 = 169.\n\nThe pumpkin patch sold 169 more pumpkins on Monday.", "answer": "169", "table": "**Pumpkins sold**\n\n| Day | Number of pumpkins |\n| --- | --- |\n| Monday | 786 |\n| Tuesday | 617 |\n| Wednesday | 301 |\n| Thursday | 436 |\n| Friday | 105 |" } ] }, { "id": "29046", "image": "29046.png", "conversations": [ { "from": "human", "question": "Nathan's class tracked how many newspapers each student collected for their recycling project. Together, how many newspapers did Nathan and Daniel collect?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nNathan: 571\nDaniel: 137\n\nNow add: 571 + 137 = 708.\n\nNathan and Daniel collected 708 newspapers.", "answer": "708", "table": "**Newspapers collected**\n\n| Name | Number of newspapers |\n| --- | --- |\n| Nathan | 571 |\n| Daniel | 137 |\n| Amanda | 127 |" } ] }, { "id": "29054", "image": "29054.png", "conversations": [ { "from": "human", "question": "Lamar wants to buy 4 pounds of heart confetti. How much will he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the heart confetti. Multiply the price per pound by the number of pounds.\n\n$10.38 × 4 = $41.52\n\nHe will spend $41.52.", "answer": "41.52", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| star confetti | $11.27 per lb |\n| graduation confetti | $11.97 per lb |\n| alphabet confetti | $10.24 per lb |\n| heart confetti | $10.38 per lb |" } ] }, { "id": "29057", "image": "29057.png", "conversations": [ { "from": "human", "question": "Principal Kline reported the state test scores from some students at his school. How many students scored fewer than 41 points?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1, 2, and 3.\n\nIn the row with stem 4, count all the leaves less than 1.\n\nYou counted 7 leaves, which are blue in the stem-and-leaf plots above. 7 students scored fewer than 41 points.", "answer": "7", "table": "**Test scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 1, 4, 9 |\n| 2 | 4, 6 |\n| 3 | 5 |\n| 4 | 1, 6, 7 |\n| 5 | 0, 1, 4 |\n| 6 | 6, 6, 7 |\n| 7 | 0, 1, 2, 4, 7 |" } ] }, { "id": "29058", "image": "29058.png", "conversations": [ { "from": "human", "question": "The owner of an orchard kept records about how many apples were picked in the past 4 days. On which day were the most apples picked?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 784.\n\nNow find the corresponding day. Friday corresponds to 784.", "answer": "Friday", "table": "**Apples picked**\n\n| Day | Number of apples |\n| --- | --- |\n| Thursday | 781 |\n| Friday | 784 |\n| Saturday | 748 |\n| Sunday | 774 |" } ] }, { "id": "29060", "image": "29060.png", "conversations": [ { "from": "human", "question": "A gymnast jotted down the number of cartwheels she did each day. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n19, 11, 15, 11, 15, 15\n\nFirst, arrange the numbers from least to greatest:\n\n11, 11, 15, 15, 15, 19\n\nNow count how many times each number appears.\n\n11 appears 2 times.\n15 appears 3 times.\n19 appears 1 time.\n\nThe number that appears most often is 15.\n\nThe mode is 15.", "answer": "15", "table": "**Doing cartwheels**\n\n| Day | Number of cartwheels |\n| --- | --- |\n| Friday | 19 |\n| Saturday | 11 |\n| Sunday | 15 |\n| Monday | 11 |\n| Tuesday | 15 |\n| Wednesday | 15 |" } ] }, { "id": "29062", "image": "29062.png", "conversations": [ { "from": "human", "question": "Leon's campground is close to two hiking trails with scenic destinations. One trail ends at an underground lake in the bottom of a small cave. The other trail ends at a mountain peak. The elevation of each destination is shown on the campground map. Which trail's destination is farther from sea level?\n" }, { "from": "gpt", "solution": "The underground lake's elevation is negative, so it is below sea level. The mountain peak's elevation is positive, so it is above sea level.\nTo find the destination farther from sea level, use absolute value. Absolute value tells you how far each destination is from sea level.\nUnderground lake: |-350| = 350\nMountain peak: |325| = 325\nThe underground lake is 350 feet below sea level, and the mountain peak is only 325 feet above sea level. The underground lake is farther from sea level.", "answer": "underground lake", "table": "| Destination | Elevation (ft.) |\n| --- | --- |\n| Underground lake | -350 |\n| Mountain peak | 325 |" } ] }, { "id": "29063", "image": "29063.png", "conversations": [ { "from": "human", "question": "Mr. Livingston, the English teacher, had his students track the number of books they read last month. How many students are there in all?\n" }, { "from": "gpt", "solution": "Add the frequencies for each row.\n\nAdd:\n\n18 + 14 + 4 + 7 + 13 + 5 + 2 = 63\n\nThere are 63 students in all.", "answer": "63", "table": "**Reading books last month**\n\n| Books read | Frequency |\n| --- | --- |\n| 0 | 18 |\n| 1 | 14 |\n| 2 | 4 |\n| 3 | 7 |\n| 4 | 13 |\n| 5 | 5 |\n| 6 | 2 |" } ] }, { "id": "29071", "image": "29071.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $210, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $210, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $150 | 19,000 | 1,400 |\n| $210 | 14,700 | 4,600 |\n| $270 | 10,400 | 7,800 |\n| $330 | 6,100 | 11,000 |\n| $390 | 1,800 | 14,200 |" } ] }, { "id": "29077", "image": "29077.png", "conversations": [ { "from": "human", "question": "The teachers at a middle school counted how many computers they had in their classrooms. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n10, 8, 8, 7, 1, 1, 2\n\nFirst, find the greatest number. The greatest number is 10.\n\nNext, find the least number. The least number is 1.\n\nSubtract the least number from the greatest number:\n\n10 − 1 = 9\n\nThe range is 9.", "answer": "9", "table": "**Computers in classrooms**\n\n| Teacher | Number of computers |\n| --- | --- |\n| Miss Murphy | 10 |\n| Mr. Lim | 8 |\n| Ms. Rojas | 8 |\n| Mr. Morales | 7 |\n| Mrs. Tan | 1 |\n| Mr. Schmidt | 1 |\n| Mrs. Jansen | 2 |" } ] }, { "id": "29081", "image": "29081.png", "conversations": [ { "from": "human", "question": "Susan and her friends recorded their scores while playing a board game. How many people are there in all?\n" }, { "from": "gpt", "solution": "Add the frequencies for each row.\n\nAdd:\n\n3 + 14 + 11 + 0 + 6 = 34\n\nThere are 34 people in all.", "answer": "34", "table": "**Scores on a board game**\n\n| Score | Frequency |\n| --- | --- |\n| 6 | 3 |\n| 7 | 14 |\n| 8 | 11 |\n| 9 | 0 |\n| 10 | 6 |" } ] }, { "id": "29084", "image": "29084.png", "conversations": [ { "from": "human", "question": "How much money does Wesley need to buy spaghetti and meatballs and pasta with mushrooms?\n" }, { "from": "gpt", "solution": "Add the price of spaghetti and meatballs and the price of pasta with mushrooms:\n\n$5.66 + $8.23 = $13.89\n\nWesley needs $13.89.", "answer": "13.89", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| green salad | $5.28 |\n| eggplant parmesan | $9.81 |\n| pepperoni pizza | $5.26 |\n| pasta with mushrooms | $8.23 |\n| lasagna | $5.24 |\n| spaghetti and meatballs | $5.66 |" } ] }, { "id": "29089", "image": "29089.png", "conversations": [ { "from": "human", "question": "Ruth has $1.32. How much money will Ruth have left if she buys a ball of twine and a small metal hook?\n" }, { "from": "gpt", "solution": "Find the total cost of a ball of twine and a small metal hook.\n\n$0.67 + $0.49 = $1.16\n\nNow subtract the total cost from the starting amount.\n\n$1.32 - $1.16 = $0.16\n\nRuth will have $0.16 left.", "answer": "0.16", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| ball of twine | $0.67 |\n| short steel screw | $0.19 |\n| small metal hook | $0.49 |\n| four-inch nail | $0.20 |\n| gold tack | $0.16 |" } ] }, { "id": "29100", "image": "29100.png", "conversations": [ { "from": "human", "question": "A fashion magazine poll asks how many winter hats each reader owns. How many readers have fewer than 4 hats?\n" }, { "from": "gpt", "solution": "Find the rows for 0, 1, 2, and 3 hats. Add the frequencies for these rows.\n\nAdd:\n\n8 + 3 + 13 + 6 = 30\n\n30 readers have fewer than 4 hats.", "answer": "30", "table": "**Winter hats**\n\n| Number of winter hats | Frequency |\n| --- | --- |\n| 0 | 8 |\n| 1 | 3 |\n| 2 | 13 |\n| 3 | 6 |\n| 4 | 16 |\n| 5 | 14 |\n| 6 | 0 |" } ] }, { "id": "29102", "image": "29102.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{15 - 6}{17 - 16}\n = \\frac{9}{1}\n = 9\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{19 - 6}{18 - 16}\n = \\frac{13}{2}\n = 6\\frac{1}{2}\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 16 | 6 |\n| 17 | 15 |\n| 18 | 19 |" } ] }, { "id": "29103", "image": "29103.png", "conversations": [ { "from": "human", "question": "Mary has $25.00. Does she have enough to buy a beach towel and a flannel sheet?\n" }, { "from": "gpt", "solution": "Add the price of a beach towel and the price of a flannel sheet:\n\n$11.00 + $14.00 = $25.00\n\nSince Mary has $25.00, she has just enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| flannel sheet | $14.00 |\n| pillow | $15.00 |\n| quilt | $12.00 |\n| beach towel | $11.00 |\n| yellow bath towel | $16.00 |" } ] }, { "id": "29108", "image": "29108.png", "conversations": [ { "from": "human", "question": "Manny's coach wrote down how many kilometers he had run over the past 5 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n5, 3, 3, 2, 5\n\nFirst, find the greatest number. The greatest number is 5.\n\nNext, find the least number. The least number is 2.\n\nSubtract the least number from the greatest number:\n\n5 − 2 = 3\n\nThe range is 3.", "answer": "3", "table": "**Kilometers run**\n\n| Day | Kilometers |\n| --- | --- |\n| Saturday | 5 |\n| Sunday | 3 |\n| Monday | 3 |\n| Tuesday | 2 |\n| Wednesday | 5 |" } ] }, { "id": "29115", "image": "29115.png", "conversations": [ { "from": "human", "question": "Darnel buys 2 pounds of soybeans, 4 pounds of garbanzo beans, and 1 pound of kidney beans. What is the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the soybeans. Multiply:\n\n$1.29 × 2 = $2.58\n\nFind the cost of the garbanzo beans. Multiply:\n\n$2.75 × 4 = $11\n\nFind the cost of the kidney beans. Multiply:\n\n$1.78 × 1 = $1.78\n\nNow find the total cost by adding:\n\n$2.58 + $11 + $1.78 = $15.36\n\nThe total cost is $15.36.", "answer": "15.36", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| kidney beans | $1.78/pound |\n| soybeans | $1.29/pound |\n| garbanzo beans | $2.75/pound |\n| lima beans | $2.28/pound |" } ] }, { "id": "29119", "image": "29119.png", "conversations": [ { "from": "human", "question": "A farmer recalled how many watermelons were harvested in the past 3 days. How many watermelons in total were harvested on Wednesday and Friday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nWednesday: 718\nFriday: 162\n\nNow add: 718 + 162 = 880.\n\n880 were harvested on Wednesday and Friday.", "answer": "880", "table": "**Watermelons harvested**\n\n| Day | Number of watermelons |\n| --- | --- |\n| Wednesday | 718 |\n| Thursday | 146 |\n| Friday | 162 |" } ] }, { "id": "29140", "image": "29140.png", "conversations": [ { "from": "human", "question": "How much money does Dalton need to buy steamed broccoli and spaghetti and meatballs?\n" }, { "from": "gpt", "solution": "Add the price of steamed broccoli and the price of spaghetti and meatballs:\n\n$2.49 + $5.91 = $8.40\n\nDalton needs $8.40.", "answer": "8.40", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| ravioli | $8.33 |\n| spaghetti and meatballs | $5.91 |\n| garlic bread | $2.20 |\n| steamed broccoli | $2.49 |" } ] }, { "id": "29142", "image": "29142.png", "conversations": [ { "from": "human", "question": "An Idaho farmer has been monitoring crop prices over time. In 2003, which crop cost the most per cwt?\n" }, { "from": "gpt", "solution": "Look at the numbers in the 2003 column. Find the greatest number in this column.\n\nThe greatest number is $20.00, which is in the Apples row. In 2003, apples cost the most per cwt.", "answer": "apples", "table": "**Idaho crop prices per cwt**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Crop | 2003 | 2004 |\n| Peas | $9 | $7 |\n| Potatoes | $4 | $4 |\n| Apples | $20 | $12 |\n| Canola | $10 | $11 |" } ] }, { "id": "29145", "image": "29145.png", "conversations": [ { "from": "human", "question": "A newspaper researched how many grocery stores there are in each town. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 2, 8, 6, 5\n\nFirst, arrange the numbers from least to greatest:\n\n2, 5, 6, 6, 8\n\nNow find the number in the middle.\n\n2, 5, 6, 6, 8\n\nThe number in the middle is 6.\n\nThe median is 6.", "answer": "6", "table": "**Grocery stores in each town**\n\n| Town | Number of stores |\n| --- | --- |\n| Chesterton | 6 |\n| Riverside | 2 |\n| Greenwood | 8 |\n| Salem | 6 |\n| Marion | 5 |" } ] }, { "id": "29151", "image": "29151.png", "conversations": [ { "from": "human", "question": "For an economics project, Alvin determined the cost of ferry rides for bicycles and cars. How much higher is the fare for a bicycle on the Fauntleroy-Vashon ferry than on the Southport-Fort Fisher ferry?\n" }, { "from": "gpt", "solution": "Find the Bicycle column. Find the numbers in this column for Fauntleroy-Vashon and Southport-Fort Fisher.\n\nFauntleroy-Vashon: $5.00\nSouthport-Fort Fisher: $2.00\n\nNow subtract:\n\n$5.00 − $2.00 = $3.00\n\nThe fare for a bicycle is $3 more on the Fauntleroy-Vashon ferry than on the Southport-Fort Fisher ferry.", "answer": "3", "table": "**Ferry fares**\n\n| Ferry | Car | Bicycle |\n| --- | --- | --- |\n| Seattle-Bremerton | $12 | $8 |\n| Southport-Fort Fisher | $5 | $2 |\n| Mukilteu-Clinton | $7 | $5 |\n| Fauntleroy-Vashon | $15 | $5 |" } ] }, { "id": "29154", "image": "29154.png", "conversations": [ { "from": "human", "question": "A pair of Taylor High School hockey fans counted the number of games won by the school each year. According to the table, what was the rate of change between 2012 and 2013?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{16 games - 10 games}{2013 - 2012}\n = \\frac{16 games - 10 games}{1 year}\n = \\frac{6 games}{1 year}\n = 6 games per year\nThe rate of change between 2012 and 2013 was 6 games per year.", "answer": "6", "table": "**Hockey games won by Taylor High**\n\n| Year | Games won |\n| --- | --- |\n| 2009 | 11 |\n| 2010 | 20 |\n| 2011 | 13 |\n| 2012 | 10 |\n| 2013 | 16 |" } ] }, { "id": "29157", "image": "29157.png", "conversations": [ { "from": "human", "question": "Charlie's campground is close to two hiking trails with scenic destinations. One trail ends at an underground lake in the bottom of a small cave. The other trail ends at a mountain peak. The elevation of each destination is shown on the campground map. Which trail's destination is farther from sea level?\n" }, { "from": "gpt", "solution": "The underground lake's elevation is negative, so it is below sea level. The mountain peak's elevation is positive, so it is above sea level.\nTo find the destination farther from sea level, use absolute value. Absolute value tells you how far each destination is from sea level.\nUnderground lake: |-350| = 350\nMountain peak: |325| = 325\nThe underground lake is 350 feet below sea level, and the mountain peak is only 325 feet above sea level. The underground lake is farther from sea level.", "answer": "underground lake", "table": "| Destination | Elevation (ft.) |\n| --- | --- |\n| Underground lake | -350 |\n| Mountain peak | 325 |" } ] }, { "id": "29161", "image": "29161.png", "conversations": [ { "from": "human", "question": "The art club examined how many cookies each student baked for the bake sale. Who baked the fewest cookies?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 31.\n\nNow find the corresponding name. Jeffrey corresponds to 31.", "answer": "Jeffrey", "table": "**Cookies baked**\n\n| Name | Number of cookies |\n| --- | --- |\n| Clayton | 35 |\n| Jeffrey | 31 |\n| Rita | 34 |\n| Nicole | 38 |" } ] }, { "id": "29163", "image": "29163.png", "conversations": [ { "from": "human", "question": "A dietitian noted the number of apples eaten by his clients last week. How many clients ate fewer than 3 apples last week?\n" }, { "from": "gpt", "solution": "Find the rows for 0, 1, and 2 apples last week. Add the frequencies for these rows.\n\nAdd:\n\n4 + 19 + 12 = 35\n\n35 clients ate fewer than 3 apples last week.", "answer": "35", "table": "**Eating apples last week**\n\n| Apples eaten | Frequency |\n| --- | --- |\n| 0 | 4 |\n| 1 | 19 |\n| 2 | 12 |\n| 3 | 7 |\n| 4 | 1 |\n| 5 | 14 |" } ] }, { "id": "29166", "image": "29166.png", "conversations": [ { "from": "human", "question": "Leslie has $1.13. Does she have enough to buy a can of peaches and a jar of applesauce?\n" }, { "from": "gpt", "solution": "Add the price of a can of peaches and the price of a jar of applesauce:\n\n$0.62 + $0.51 = $1.13\n\nSince Leslie has $1.13, she has just enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| can of peaches | $0.62 |\n| can of mushrooms | $0.91 |\n| jar of olives | $0.61 |\n| can of cranberry sauce | $0.48 |\n| jar of applesauce | $0.51 |" } ] }, { "id": "29169", "image": "29169.png", "conversations": [ { "from": "human", "question": "Look at this table. Is this relation a function?\n" }, { "from": "gpt", "solution": "Look at the x-values in the table.\n\nEach of the x-values is paired with only one y-value, so the relation is a function.", "answer": "yes", "table": "| x | y |\n| --- | --- |\n| 14 | 20 |\n| 7 | 11 |\n| 0 | 8 |\n| 17 | 10 |" } ] }, { "id": "29178", "image": "29178.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{13 - 6}{10 - 9}\n = \\frac{7}{1}\n = 7\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{18 - 6}{11 - 9}\n = \\frac{12}{2}\n = 6\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 9 | 6 |\n| 10 | 13 |\n| 11 | 18 |" } ] }, { "id": "29180", "image": "29180.png", "conversations": [ { "from": "human", "question": "Nicole attended a music store's banjo sale. She counted the types of banjos and made note of their discounts. What is the probability that a randomly selected banjo is 50% off and has 5 strings? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the banjo is 50% off\" and B be the event \"the banjo has 5 strings\".\nTo find the probability that a banjo is 50% off and has 5 strings, first identify the sample space and the event.\nThe outcomes in the sample space are the different banjos. Each banjo is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the banjo is 50% off and has 5 strings\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the banjo is 50% off and has 5 strings\", so look at the table to see how many banjos are 50% off and have 5 strings.\nThe number of banjos that are 50% off and have 5 strings is 6.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of banjos.\n5 + 5 + 1 + 6 = 17\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{6}{17}\nThe probability that a banjo is 50% off and has 5 strings is \\frac{6}{17}.", "answer": "6/17", "table": "| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| | 4 strings | 5 strings |\n| 25% off | 5 | 1 |\n| 50% off | 5 | 6 |" } ] }, { "id": "29194", "image": "29194.png", "conversations": [ { "from": "human", "question": "How much would it cost to buy 3 kilograms of 78-mm washers?\n" }, { "from": "gpt", "solution": "Find the cost of the 78-mm washers. Multiply the price per kilogram by the number of kilograms.\n\n$3 × 3 = $9\n\nIt would cost $9.", "answer": "9", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| 78-mm washers | $3/kilogram |\n| 44-mm washers | $3/kilogram |\n| 39-mm washers | $4/kilogram |\n| 50-mm washers | $4/kilogram |\n| 66-mm washers | $4/kilogram |\n| 24-mm washers | $4/kilogram |" } ] }, { "id": "29195", "image": "29195.png", "conversations": [ { "from": "human", "question": "The town council reported on how many stop signs there are on each street. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 5, 9, 7, 5, 9, 5\n\nFirst, find the greatest number. The greatest number is 9.\n\nNext, find the least number. The least number is 5.\n\nSubtract the least number from the greatest number:\n\n9 − 5 = 4\n\nThe range is 4.", "answer": "4", "table": "**Stop signs**\n\n| Street | Number of stop signs |\n| --- | --- |\n| Mason Street | 9 |\n| Watson Street | 5 |\n| Irving Street | 9 |\n| Marshall Street | 7 |\n| Peabody Street | 5 |\n| Jackson Street | 9 |\n| Spring Street | 5 |" } ] }, { "id": "29202", "image": "29202.png", "conversations": [ { "from": "human", "question": "Reggie has $11.50. Does he have enough to buy a red pillowcase and a navy blue bath mat?\n" }, { "from": "gpt", "solution": "Add the price of a red pillowcase and the price of a navy blue bath mat:\n\n$6.68 + $5.39 = $12.07\n\n$12.07 is more than $11.50. Reggie does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| navy blue bath mat | $5.39 |\n| pillow | $5.19 |\n| white washcloth | $2.82 |\n| yellow bath towel | $9.32 |\n| red pillowcase | $6.68 |\n| green kitchen towel | $2.43 |" } ] }, { "id": "29216", "image": "29216.png", "conversations": [ { "from": "human", "question": "For a math assignment, Cora researched the scores of the people competing on her favorite quiz show. How many people scored at least 10 points but fewer than 30 points?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1 and 2.\n\nYou counted 10 leaves, which are blue in the stem-and-leaf plot above. 10 people scored at least 10 points but fewer than 30 points.", "answer": "10", "table": "**Quiz show scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 3, 5, 5, 8, 9, 9, 9 |\n| 2 | 7, 9 |\n| 3 | 7 |\n| 4 | 8, 9 |\n| 5 | 0, 7, 8, 9 |\n| 6 | 0, 1, 3, 3, 6 |" } ] }, { "id": "29227", "image": "29227.png", "conversations": [ { "from": "human", "question": "How much more does a piece of smoky quartz cost than a piece of fool's gold?\n" }, { "from": "gpt", "solution": "Subtract the price of a piece of fool's gold from the price of a piece of smoky quartz.\n\n$0.78 - $0.54 = $0.24\n\nA piece of smoky quartz costs $0.24 more than a piece of fool's gold.", "answer": "0.24", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| quartz crystal | $0.95 |\n| piece of smoky quartz | $0.78 |\n| smooth piece of sea glass | $0.65 |\n| piece of black mica | $0.31 |\n| piece of fool's gold | $0.54 |" } ] }, { "id": "29231", "image": "29231.png", "conversations": [ { "from": "human", "question": "How much money does Fred need to buy a cookbook and a book of piano music?\n" }, { "from": "gpt", "solution": "Add the price of a cookbook and the price of a book of piano music:\n\n$5.27 + $9.27 = $14.54\n\nFred needs $14.54.", "answer": "14.54", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| comic book | $2.70 |\n| math book | $5.92 |\n| newspaper | $1.34 |\n| cookbook | $5.27 |\n| map of Canada | $6.59 |\n| book of piano music | $9.27 |" } ] }, { "id": "29234", "image": "29234.png", "conversations": [ { "from": "human", "question": "Myra has $4.00. Does she have enough to buy a bag of frozen peas and a jar of cherries?\n" }, { "from": "gpt", "solution": "Add the price of a bag of frozen peas and the price of a jar of cherries:\n\n$1.42 + $2.79 = $4.21\n\n$4.21 is more than $4.00. Myra does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| bag of frozen peas | $1.42 |\n| can of green beans | $1.00 |\n| can of mushrooms | $1.28 |\n| jar of olives | $4.19 |\n| can of soup | $1.46 |\n| jar of cherries | $2.79 |" } ] }, { "id": "29235", "image": "29235.png", "conversations": [ { "from": "human", "question": "The employee at the department store counted the number of ties on each tie rack. How many racks have at least 46 ties?\n" }, { "from": "gpt", "solution": "Find the row with stem 4. Count all the leaves greater than or equal to 6.\n\nCount all the leaves in the rows with stems 5, 6, and 7.\n\nYou counted 14 leaves, which are blue in the stem-and-leaf plots above. 14 racks have at least 46 ties.", "answer": "14", "table": "**Ties per rack**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 3, 3, 7 |\n| 5 | 5, 6, 9, 9 |\n| 6 | 0, 1, 3, 5 |\n| 7 | 1, 2, 7, 8, 8 |" } ] }, { "id": "29236", "image": "29236.png", "conversations": [ { "from": "human", "question": "A pair of Taylor High School hockey fans counted the number of games won by the school each year. According to the table, what was the rate of change between 2020 and 2021?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{17 games - 16 games}{2021 - 2020}\n = \\frac{17 games - 16 games}{1 year}\n = \\frac{1 game}{1 year}\n = 1 game per year\nThe rate of change between 2020 and 2021 was 1 game per year.", "answer": "1", "table": "**Hockey games won by Taylor High**\n\n| Year | Games won |\n| --- | --- |\n| 2017 | 14 |\n| 2018 | 1 |\n| 2019 | 11 |\n| 2020 | 16 |\n| 2021 | 17 |" } ] }, { "id": "29249", "image": "29249.png", "conversations": [ { "from": "human", "question": "For an assignment, Mark looked at which countries got the most Nobel Prizes in various decades. How many Nobel Prize winners did Germany have in the 1960s?\n" }, { "from": "gpt", "solution": "First, find the row for Germany. Then find the number in the 1960 s column.\n\nThis number is 10. Germany had 10 Nobel Prize winners in the 1960 s.", "answer": "10", "table": "**Nobel Prize winners**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 1960s | 1970s |\n| Germany | 10 | 9 |\n| Canada | 1 | 2 |\n| Japan | 2 | 2 |\n| France | 7 | 3 |" } ] }, { "id": "29252", "image": "29252.png", "conversations": [ { "from": "human", "question": "A balloon artist counted the number of balloon animal requests he received at a party. The balloon requests differed in animal type and color. What is the probability that a randomly selected balloon animal is green and is shaped like a giraffe? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the balloon animal is green\" and B be the event \"the balloon animal is shaped like a giraffe\".\nTo find the probability that a balloon animal is green and is shaped like a giraffe, first identify the sample space and the event.\nThe outcomes in the sample space are the different balloon animals. Each balloon animal is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the balloon animal is green and is shaped like a giraffe\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the balloon animal is green and is shaped like a giraffe\", so look at the table to see how many balloon animals are green and are shaped like a giraffe.\nThe number of balloon animals that are green and are shaped like a giraffe is 4.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of balloon animals.\n4 + 4 + 4 + 4 = 16\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{4}{16}\n = \\frac{1}{4}\nThe probability that a balloon animal is green and is shaped like a giraffe is \\frac{1}{4}.", "answer": "1/4", "table": "| | Giraffe | Dog |\n| --- | --- | --- |\n| Purple | 4 | 4 |\n| Green | 4 | 4 |" } ] }, { "id": "29255", "image": "29255.png", "conversations": [ { "from": "human", "question": "Tara's class paid attention to how many bottles each student collected for their recycling project. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n74, 73, 78, 74, 73, 77, 77, 74\n\nFirst, count how many numbers are in the group.\n\nThere are 8 numbers.\n\nNow add all the numbers together:\n\n74 + 73 + 78 + 74 + 73 + 77 + 77 + 74 = 600\n\nNow divide the sum by the number of numbers:\n\n600 ÷ 8 = 75\n\nThe mean is 75.", "answer": "75", "table": "**Bottles collected**\n\n| Name | Number of bottles |\n| --- | --- |\n| Tara | 74 |\n| Leroy | 73 |\n| Carly | 78 |\n| Gwen | 74 |\n| Eddie | 73 |\n| Rob | 77 |\n| Janelle | 77 |\n| Brennan | 74 |" } ] }, { "id": "29260", "image": "29260.png", "conversations": [ { "from": "human", "question": "Brittany has $115.00. Does she have enough to buy a waffle maker and a computer printer?\n" }, { "from": "gpt", "solution": "Add the price of a waffle maker and the price of a computer printer:\n\n$29.00 + $94.00 = $123.00\n\n$123.00 is more than $115.00. Brittany does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| alarm clock | $29.00 |\n| microphone | $10.00 |\n| computer printer | $94.00 |\n| waffle maker | $29.00 |" } ] }, { "id": "29268", "image": "29268.png", "conversations": [ { "from": "human", "question": "Victoria bought 4 kilograms of olive oil, 4 kilograms of peanut oil, and 5 kilograms of sunflower seed oil. How much did she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the olive oil. Multiply:\n\n$2 × 4 = $8\n\nFind the cost of the peanut oil. Multiply:\n\n$2 × 4 = $8\n\nFind the cost of the sunflower seed oil. Multiply:\n\n$2 × 5 = $10\n\nNow find the total cost by adding:\n\n$8 + $8 + $10 = $26\n\nShe spent $26.", "answer": "26", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| cottonseed oil | $2 per kilogram |\n| sunflower seed oil | $2 per kilogram |\n| peanut oil | $2 per kilogram |\n| canola oil | $2 per kilogram |\n| olive oil | $2 per kilogram |" } ] }, { "id": "29278", "image": "29278.png", "conversations": [ { "from": "human", "question": "Kenny counted the number of cookies eaten by each customer at last week's bake sale. How many customers ate more than 4 cookies last week?\n" }, { "from": "gpt", "solution": "Find the rows for 5 and 6 cookies last week. Add the frequencies for these rows.\n\nAdd:\n\n7 + 0 = 7\n\n7 customers ate more than 4 cookies last week.", "answer": "7", "table": "**Eating cookies last week**\n\n| Cookies eaten | Frequency |\n| --- | --- |\n| 1 | 11 |\n| 2 | 18 |\n| 3 | 20 |\n| 4 | 2 |\n| 5 | 7 |\n| 6 | 0 |" } ] }, { "id": "29290", "image": "29290.png", "conversations": [ { "from": "human", "question": "The bird watcher counted the number of birds in each flock that passed overhead. How many flocks had at least 10 birds but fewer than 70 birds?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1, 2, 3, 4, 5, and 6.\n\nYou counted 11 leaves, which are blue in the stem-and-leaf plot above. 11 flocks had at least 10 birds but fewer than 70 birds.", "answer": "11", "table": "**Birds per flock**\n\n| Stem | Leaf |\n| --- | --- |\n| 0 | 5, 5, 9 |\n| 1 | 0, 5, 9, 9 |\n| 2 | 8 |\n| 3 | 0, 4, 5, 5 |\n| 4 | |\n| 5 | 7 |\n| 6 | 7 |" } ] }, { "id": "29305", "image": "29305.png", "conversations": [ { "from": "human", "question": "Each shelf has 10 pairs of scissors. How many pairs of scissors are on 5 shelves?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 50 pairs of scissors on 5 shelves.", "answer": "50", "table": "| Number of shelves | Number of pairs of scissors |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | 40 |\n| 5 | ? |" } ] }, { "id": "29311", "image": "29311.png", "conversations": [ { "from": "human", "question": "A pottery factory kept track of the number of broken plates per shipment last week. How many shipments had at least 31 broken plates but less than 45 broken plates?\n" }, { "from": "gpt", "solution": "Find the row with stem 3. Count all the leaves greater than or equal to 1.\n\nIn the row with stem 4, count all the leaves less than 5.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plots above. 4 shipments had at least 31 broken plates but less than 45 broken plates.", "answer": "4", "table": "**Broken plates per shipment**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 0, 3, 4, 5, 8 |\n| 2 | 5, 8 |\n| 3 | 2, 2, 3 |\n| 4 | 4, 8 |" } ] }, { "id": "29313", "image": "29313.png", "conversations": [ { "from": "human", "question": "Nellie, who rents properties for a living, measures all the offices in a building she is renting. How many offices are exactly 80 square meters?\n" }, { "from": "gpt", "solution": "For the number 80, the stem is 8, and the leaf is 0. Find the row where the stem is 8. In that row, count all the leaves equal to 0.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 offices are exactly 80 square meters.", "answer": "3", "table": "**Office sizes (square meters)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 3, 4 |\n| 2 | 4, 6 |\n| 3 | |\n| 4 | 5 |\n| 5 | 1 |\n| 6 | 1 |\n| 7 | 4 |\n| 8 | 0, 0, 0, 6 |\n| 9 | 0 |" } ] }, { "id": "29323", "image": "29323.png", "conversations": [ { "from": "human", "question": "After a census, 3 nearby towns compared their populations. How many people in total live in Valley Falls and Ridge Crest?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nValley Falls: 2,181\nRidge Crest: 5,462\n\nNow add: 2,181 + 5,462 = 7,643.\n\n7,643 people live in Valley Falls and Ridge Crest.", "answer": "7,643", "table": "**Town populations**\n\n| Town | Population |\n| --- | --- |\n| Hilly Town | 1,326 |\n| Valley Falls | 2,181 |\n| Ridge Crest | 5,462 |" } ] }, { "id": "29324", "image": "29324.png", "conversations": [ { "from": "human", "question": "What is the total cost for 0.8 pounds of chamomile?\n" }, { "from": "gpt", "solution": "Find the cost of the chamomile. Multiply the price per pound by the number of pounds.\n$9 × 0.8 = $7.20\nThe total cost is $7.20.", "answer": "7.20", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| chamomile | $9 per lb |\n| sage | $8 per lb |\n| rosemary | $4 per lb |\n| thyme | $7 per lb |\n| oregano | $5 per lb |" } ] }, { "id": "29328", "image": "29328.png", "conversations": [ { "from": "human", "question": "A museum curator counted the number of paintings in each exhibit at the art museum. How many exhibits have exactly 36 paintings?\n" }, { "from": "gpt", "solution": "For the number 36, the stem is 3, and the leaf is 6. Find the row where the stem is 3. In that row, count all the leaves equal to 6.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 exhibits have exactly 36 paintings.", "answer": "2", "table": "**Paintings per exhibit**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 0, 6, 6, 8 |\n| 4 | 2, 3, 4, 4, 7, 7, 9 |\n| 5 | 5 |\n| 6 | 2, 3, 4, 7 |\n| 7 | 1, 2, 3, 9, 9 |\n| 8 | 4, 5, 9 |\n| 9 | 0 |" } ] }, { "id": "29337", "image": "29337.png", "conversations": [ { "from": "human", "question": "Each cage has 10 rats. How many rats are in 5 cages?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 50 rats in 5 cages.", "answer": "50", "table": "| Number of cages | Number of rats |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | 40 |\n| 5 | ? |" } ] }, { "id": "29343", "image": "29343.png", "conversations": [ { "from": "human", "question": "How much more does a piece of rose quartz cost than a piece of green slate?\n" }, { "from": "gpt", "solution": "Subtract the price of a piece of green slate from the price of a piece of rose quartz.\n\n$0.71 - $0.12 = $0.59\n\nA piece of rose quartz costs $0.59 more than a piece of green slate.", "answer": "0.59", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| orange agate | $0.36 |\n| piece of green slate | $0.12 |\n| piece of rose quartz | $0.71 |\n| piece of fool's gold | $0.80 |" } ] }, { "id": "29356", "image": "29356.png", "conversations": [ { "from": "human", "question": "Ms. Garcia reported her students' scores on the most recent quiz. What is the lowest score?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 6.\n\nNow find the lowest leaf in the first row. The lowest leaf is 2.\n\nThe lowest score has a stem of 6 and a leaf of 2. Write the stem first, then the leaf: 62.\n\nThe lowest score is 62 points.", "answer": "62", "table": "**Quiz scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 6 | 2, 4 |\n| 7 | 3 |\n| 8 | 1, 1 |\n| 9 | 0 |" } ] }, { "id": "29358", "image": "29358.png", "conversations": [ { "from": "human", "question": "Sharon's class paid attention to how many bottles each student collected for their recycling project. Who collected the fewest bottles?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 747.\n\nNow find the corresponding name. Darren corresponds to 747.", "answer": "Darren", "table": "**Bottles collected**\n\n| Name | Number of bottles |\n| --- | --- |\n| Sharon | 798 |\n| Darren | 747 |\n| Jayce | 779 |\n| Richard | 749 |" } ] }, { "id": "29360", "image": "29360.png", "conversations": [ { "from": "human", "question": "How much would it cost to buy 5 kilograms of denim scraps and 5 kilograms of faux fur scraps?\n" }, { "from": "gpt", "solution": "Find the cost of the denim scraps. Multiply:\n\n$4 × 5 = $20\n\nFind the cost of the faux fur scraps. Multiply:\n\n$5 × 5 = $25\n\nNow find the total cost by adding:\n\n$20 + $25 = $45\n\nIt would cost $45.", "answer": "45", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| canvas scraps | $5/kg |\n| faux fur scraps | $5/kg |\n| silk scraps | $5/kg |\n| denim scraps | $4/kg |\n| lace scraps | $5/kg |" } ] }, { "id": "29367", "image": "29367.png", "conversations": [ { "from": "human", "question": "A cheese merchant in Hillsdale sells cheeses from a variety of regions, and he noted how much from each region was sold last year. What fraction of the cheese sold was from Italy? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how much cheese from Italy was sold.\n\n770\n\nFind how much cheese was sold in total.\n\n770 + 840 + 800 = 2,410\n\nDivide 770 by2,410.\n\n\\frac{770}{2,410}\n\nReduce the fraction.\n\n\\frac{770}{2,410} → \\frac{77}{241}\n\n\\frac{77}{241} of Find how much cheese from Italy was sold.", "answer": "77/241", "table": "**Cheese sales**\n\n| Origin | Number of kilograms |\n| --- | --- |\n| Italy | 770 |\n| California | 840 |\n| Other | 800 |" } ] }, { "id": "29370", "image": "29370.png", "conversations": [ { "from": "human", "question": "An ice cream shop kept track of how many ice cream cones it sold in the past 4 days. On which day did the shop sell the most ice cream cones?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 59.\n\nNow find the corresponding day. Friday corresponds to 59.", "answer": "Friday", "table": "**Ice cream cones sold**\n\n| Day | Number of ice cream cones |\n| --- | --- |\n| Thursday | 52 |\n| Friday | 59 |\n| Saturday | 51 |\n| Sunday | 54 |" } ] }, { "id": "29374", "image": "29374.png", "conversations": [ { "from": "human", "question": "Elizabeth purchased 4 pounds of curried chicken. What was the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the curried chicken. Multiply the price per pound by the number of pounds.\n\n$4 × 4 = $16\n\nThe total cost was $16.", "answer": "16", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| curried chicken | $4/pound |\n| fried chicken | $5/pound |\n| baked chicken | $10/pound |\n| roast chicken | $5/pound |" } ] }, { "id": "29387", "image": "29387.png", "conversations": [ { "from": "human", "question": "Edward counted all the beads in each necklace at the jewelry store where he works. How many necklaces had exactly 66 beads?\n" }, { "from": "gpt", "solution": "For the number 66, the stem is 6, and the leaf is 6. Find the row where the stem is 6. In that row, count all the leaves equal to 6.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 necklaces had exactly 66 beads.", "answer": "3", "table": "**Beads per necklace**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 1, 1, 3 |\n| 3 | 0, 5, 5 |\n| 4 | 2, 3, 4 |\n| 5 | 1, 3, 8 |\n| 6 | 3, 6, 6, 6 |\n| 7 | 4, 9 |" } ] }, { "id": "29388", "image": "29388.png", "conversations": [ { "from": "human", "question": "How much money does Kristen need to buy a green salad and steamed broccoli?\n" }, { "from": "gpt", "solution": "Add the price of a green salad and the price of steamed broccoli:\n\n$3 + $8 = $11\n\nKristen needs $11.", "answer": "11", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| grilled eggplant | $7 |\n| steamed broccoli | $8 |\n| cheese pizza | $7 |\n| spaghetti and meatballs | $4 |\n| green salad | $3 |\n| pasta with white sauce | $6 |" } ] }, { "id": "29394", "image": "29394.png", "conversations": [ { "from": "human", "question": "Look at this table. Is this relation a function?\n" }, { "from": "gpt", "solution": "Look at the x-values in the table.\n\nThe x-value 20 is paired with multiple y-values, so the relation is not a function.", "answer": "no", "table": "| x | y |\n| --- | --- |\n| 19 | 14 |\n| 20 | 1 |\n| 20 | 7 |" } ] }, { "id": "29403", "image": "29403.png", "conversations": [ { "from": "human", "question": "What is the total cost for 1 pound of blueberry bars and 3 pounds of puffed rice bars?\n" }, { "from": "gpt", "solution": "Find the cost of the blueberry bars. Multiply:\n\n$2 × 1 = $2\n\nFind the cost of the puffed rice bars. Multiply:\n\n$4 × 3 = $12\n\nNow find the total cost by adding:\n\n$2 + $12 = $14\n\nThe total cost is $14.", "answer": "14", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| popcorn balls | $6 per lb |\n| puffed rice bars | $4 per lb |\n| lemon bars | $8 per lb |\n| blueberry bars | $2 per lb |\n| coffee cake | $8 per lb |" } ] }, { "id": "29409", "image": "29409.png", "conversations": [ { "from": "human", "question": "Natalie buys 4.6 kilograms of turmeric. What is the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the turmeric. Multiply the price per kilogram by the number of kilograms.\n$3 × 4.6 = $13.80\nThe total cost is $13.80.", "answer": "13.80", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pepper | $4 per kg |\n| cumin | $3 per kg |\n| turmeric | $3 per kg |\n| cinnamon | $3 per kg |\n| paprika | $2 per kg |" } ] }, { "id": "29422", "image": "29422.png", "conversations": [ { "from": "human", "question": "Tristan counted the number of problems on each of his tests. How many tests had fewer than 60 problems?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 2, 3, 4, and 5.\n\nYou counted 6 leaves, which are blue in the stem-and-leaf plot above. 6 tests had fewer than 60 problems.", "answer": "6", "table": "**Problems per test**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 3, 6, 9 |\n| 3 | 9 |\n| 4 | |\n| 5 | 2, 5 |" } ] }, { "id": "29423", "image": "29423.png", "conversations": [ { "from": "human", "question": "Some friends played golf and compared their scores. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n91, 87, 83, 88, 88, 79\n\nFirst, count how many numbers are in the group.\n\nThere are 6 numbers.\n\nNow add all the numbers together:\n\n91 + 87 + 83 + 88 + 88 + 79 = 516\n\nNow divide the sum by the number of numbers:\n\n516 ÷ 6 = 86\n\nThe mean is 86.", "answer": "86", "table": "**Golf scores**\n\n| Name | Score |\n| --- | --- |\n| Turner | 91 |\n| Rob | 87 |\n| Isaac | 83 |\n| Lexi | 88 |\n| Quinn | 88 |\n| Meg | 79 |" } ] }, { "id": "29427", "image": "29427.png", "conversations": [ { "from": "human", "question": "How much would it cost to buy 1 pound of metal beads?\n" }, { "from": "gpt", "solution": "Find the cost of the metal beads. Multiply the price per pound by the number of pounds.\n\n$11.93 × 1 = $11.93\n\nIt would cost $11.93.", "answer": "11.93", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| crystal beads | $5.28 per lb |\n| wooden beads | $9.23 per lb |\n| paper beads | $9.54 per lb |\n| plastic beads | $6.53 per lb |\n| metal beads | $11.93 per lb |" } ] }, { "id": "29429", "image": "29429.png", "conversations": [ { "from": "human", "question": "At Arlington Consulting, the head of human resources examined how the number of employees with health care benefits varied in response to policy changes. According to the table, what was the rate of change between 2015 and 2016?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{28 employees - 26 employees}{2016 - 2015}\n = \\frac{28 employees - 26 employees}{1 year}\n = \\frac{2 employees}{1 year}\n = 2 employees per year\nThe rate of change between 2015 and 2016 was 2 employees per year.", "answer": "2", "table": "**Employees with health care benefits**\n\n| Year | Employees |\n| --- | --- |\n| 2014 | 34 |\n| 2015 | 26 |\n| 2016 | 28 |\n| 2017 | 29 |\n| 2018 | 31 |" } ] }, { "id": "29430", "image": "29430.png", "conversations": [ { "from": "human", "question": "Hugo kept track of how long it took to finish his homework each day. According to the table, what was the rate of change between Tuesday and Wednesday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{19 minutes - 25 minutes}{1 day}\n = \\frac{-6 minutes}{1 day}\n = -6 minutes per day\nThe rate of change between Tuesday and Wednesday was - 6 minutes per day.", "answer": "-6", "table": "**Time Hugo spent on homework**\n\n| Day | Minutes |\n| --- | --- |\n| Sunday | 25 |\n| Monday | 22 |\n| Tuesday | 25 |\n| Wednesday | 19 |\n| Thursday | 17 |" } ] }, { "id": "29433", "image": "29433.png", "conversations": [ { "from": "human", "question": "Austin just downloaded the new game Gem Excavator on his phone. In the first level, Austin gains points for each green gem he finds. However, he loses points for each red gem he finds. The table shows how the gems affect Austin's points. Which color gem affects Austin's points less?\n" }, { "from": "gpt", "solution": "To find the gem that affects Austin's points less, use absolute value. Absolute value tells you how much Austin's points change for each color gem.\nGreen: |25| = 25\nRed: |-40| = 40\nAustin gains 25 points for each green gem he finds, and he loses 40 points for each red gem he finds. So, the green gems affect Austin's points less.", "answer": "green", "table": "| Gem color | Change in points |\n| --- | --- |\n| Green | 25 |\n| Red | -40 |" } ] }, { "id": "29437", "image": "29437.png", "conversations": [ { "from": "human", "question": "Some companies compared how many phone calls they made. In all, how many phone calls did Brave New Day Corporation and Henderson Co. make?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nBrave New Day Corporation: 1,817\nHenderson Co.: 7,007\n\nNow add: 1,817 + 7,007 = 8,824.\n\nIn all, Brave New Day Corporation and Henderson Co. made 8,824 phone calls.", "answer": "8,824", "table": "**Phone calls**\n\n| Company | Number of phone calls |\n| --- | --- |\n| Nature Now | 8,467 |\n| Brave New Day Corporation | 1,817 |\n| Henderson Co. | 7,007 |" } ] }, { "id": "29441", "image": "29441.png", "conversations": [ { "from": "human", "question": "The staff of a game show tracked the performance of all the contestants during the past season. How many people scored at least 45 points but fewer than 52 points?\n" }, { "from": "gpt", "solution": "Find the row with stem 4. Count all the leaves greater than or equal to 5.\n\nIn the row with stem 5, count all the leaves less than 2.\n\nYou counted 6 leaves, which are blue in the stem-and-leaf plots above. 6 people scored at least 45 points but fewer than 52 points.", "answer": "6", "table": "**Game show scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 3, 4, 4, 5, 8, 9 |\n| 5 | 0, 0, 0, 6 |\n| 6 | 2, 3, 6, 7, 7, 9 |\n| 7 | 3, 5, 7 |\n| 8 | 0, 0, 1, 3, 7, 8 |" } ] }, { "id": "29446", "image": "29446.png", "conversations": [ { "from": "human", "question": "The architecture student counted the number of bricks in each building in her neighborhood. How many buildings have at least 66 bricks but fewer than 93 bricks?\n" }, { "from": "gpt", "solution": "Find the row with stem 6. Count all the leaves greater than or equal to 6.\n\nCount all the leaves in the rows with stems 7 and 8.\n\nIn the row with stem 9, count all the leaves less than 3.\n\nYou counted 8 leaves, which are blue in the stem-and-leaf plots above. 8 buildings have at least 66 bricks but fewer than 93 bricks.", "answer": "8", "table": "**Bricks per building**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 7, 7, 9 |\n| 3 | |\n| 4 | 4, 7 |\n| 5 | 1, 1, 3, 8 |\n| 6 | |\n| 7 | 0, 3, 4, 8 |\n| 8 | 0, 3, 3 |\n| 9 | 0 |" } ] }, { "id": "29449", "image": "29449.png", "conversations": [ { "from": "human", "question": "The manager of a party supply store researched how many balloons it sold in the past 4 days. On which day did the store sell the fewest balloons?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 834.\n\nNow find the corresponding day. Sunday corresponds to 834.", "answer": "Sunday", "table": "**Balloons sold**\n\n| Day | Number of balloons |\n| --- | --- |\n| Thursday | 888 |\n| Friday | 838 |\n| Saturday | 843 |\n| Sunday | 834 |" } ] }, { "id": "29463", "image": "29463.png", "conversations": [ { "from": "human", "question": "The train conductor made sure to count the number of passengers on each train. How many trains had exactly 57 passengers?\n" }, { "from": "gpt", "solution": "For the number 57, the stem is 5, and the leaf is 7. Find the row where the stem is 5. In that row, count all the leaves equal to 7.\n\nYou counted 1 leaf, which is blue in the stem-and-leaf plot above. 1 train had exactly 57 passengers.", "answer": "1", "table": "**Passengers per train**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1, 4, 7, 8 |\n| 2 | 6 |\n| 3 | 4, 5, 8 |\n| 4 | 7 |\n| 5 | 3, 5, 7 |\n| 6 | 3, 4 |\n| 7 | 8 |\n| 8 | 3 |\n| 9 | 0 |" } ] }, { "id": "29467", "image": "29467.png", "conversations": [ { "from": "human", "question": "Clare, a fitness counselor, counted the number of pull-ups completed by each bootcamp participant. How many participants are there in all?\n" }, { "from": "gpt", "solution": "Add the frequencies for each row.\n\nAdd:\n\n4 + 13 + 12 + 20 + 17 + 7 + 18 = 91\n\nThere are 91 participants in all.", "answer": "91", "table": "**Doing pull-ups**\n\n| Number of pull-ups | Frequency |\n| --- | --- |\n| 0 | 4 |\n| 1 | 13 |\n| 2 | 12 |\n| 3 | 20 |\n| 4 | 17 |\n| 5 | 7 |\n| 6 | 18 |" } ] }, { "id": "29469", "image": "29469.png", "conversations": [ { "from": "human", "question": "Each office has 10 telephones. How many telephones are in 6 offices?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 60 telephones in 6 offices.", "answer": "60", "table": "| Number of offices | Number of telephones |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | 40 |\n| 5 | 50 |\n| 6 | ? |" } ] }, { "id": "29483", "image": "29483.png", "conversations": [ { "from": "human", "question": "Kirk sells electronics at Bright Screens Superstore. He tracked the items he sold last week in this frequency chart. Kirk sold one-fourth of the TVs and all of the tablet computers over the weekend. How many TVs and tablet computers did he sell over the weekend?\n" }, { "from": "gpt", "solution": "Step 1: Find how many TVs Kirk sold over the weekend.\nKirk sold 16 TVs last week. He sold one-fourth of those over the weekend. Divide 16 by 4.\n16÷4 = 4\nKirk sold 4 TVs over the weekend.\nStep 2: Find how many TVs and tablet computers he sold over the weekend.\nKirk sold 4 TVs and all 7 tablet computers over the weekend. Add.\n4 + 7 = 11\nKirk sold 11 TVs and tablet computers over the weekend.", "answer": "11", "table": "**Items sold last week**\n\n| Item | Frequency |\n| --- | --- |\n| TV | 16 |\n| tablet computer | 7 |\n| speaker | 32 |\n| cell phone | 23 |\n| video game console | 19 |" } ] }, { "id": "29489", "image": "29489.png", "conversations": [ { "from": "human", "question": "How much money does Becky need to buy an antique cedar cabinet, an antique fir wood bed, and an antique hand-painted trunk?\n" }, { "from": "gpt", "solution": "Find the total cost of an antique cedar cabinet, an antique fir wood bed, and an antique hand-painted trunk.\n\n$4,993 + $4,785 + $8,505 = $18,283\n\nBecky needs $18,283.", "answer": "18,283", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| antique cherry bookcase | $3,806 |\n| antique cedar cabinet | $4,993 |\n| antique fir wood bed | $4,785 |\n| antique marbletop vanity | $1,532 |\n| antique hand-painted trunk | $8,505 |" } ] }, { "id": "29492", "image": "29492.png", "conversations": [ { "from": "human", "question": "How much more does a crystal sculpture cost than a ceramic vase?\n" }, { "from": "gpt", "solution": "Subtract the price of a ceramic vase from the price of a crystal sculpture.\n\n$54 - $38 = $16\n\nA crystal sculpture costs $16 more than a ceramic vase.", "answer": "16", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| crystal sculpture | $54 |\n| rug | $66 |\n| ceramic vase | $38 |\n| crystal vase | $79 |" } ] }, { "id": "29493", "image": "29493.png", "conversations": [ { "from": "human", "question": "Rose kept track of how many boxes of cookies she sold over the past 4 days. On which day did Rose sell the most boxes?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 99.\n\nNow find the corresponding day. Thursday corresponds to 99.", "answer": "Thursday", "table": "**Boxes of cookies sold**\n\n| Day | Number of boxes |\n| --- | --- |\n| Wednesday | 91 |\n| Thursday | 99 |\n| Friday | 94 |\n| Saturday | 98 |" } ] }, { "id": "29505", "image": "29505.png", "conversations": [ { "from": "human", "question": "In determining which sports to offer this season, the Yardley Community Center asked its members' children to vote for their favorite sports. How many children voted for gymnastics?\n" }, { "from": "gpt", "solution": "Find the row for gymnastics. Add the numbers in the Gymnastics row.\n\nAdd:\n\n4 + 19 = 23\n\n23 children voted for gymnastics.", "answer": "23", "table": "**Favorite sports**\n\n| Sport | Boys | Girls |\n| --- | --- | --- |\n| Swimming | 20 | 18 |\n| Golf | 6 | 10 |\n| Gymnastics | 4 | 19 |\n| Running | 8 | 14 |\n| Soccer | 11 | 6 |" } ] }, { "id": "29508", "image": "29508.png", "conversations": [ { "from": "human", "question": "Eric's P.E. class participated in a push-up competition, and Eric wrote down how many push-ups each person could do. What is the smallest number of push-ups done?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 1.\n\nNow find the lowest leaf in the first row. The lowest leaf is 5.\n\nThe smallest number of push-ups done has a stem of 1 and a leaf of 5. Write the stem first, then the leaf: 15.\n\nThe smallest number of push-ups done is 15 push-ups.", "answer": "15", "table": "**Push-up competition (number of push-ups)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 5, 9 |\n| 2 | |\n| 3 | |\n| 4 | 2, 5 |\n| 5 | |\n| 6 | 2 |\n| 7 | |\n| 8 | 0, 7 |\n| 9 | 0 |" } ] }, { "id": "29513", "image": "29513.png", "conversations": [ { "from": "human", "question": "The Dawson Skating Rink counted the number of times people went ice skating last winter to see what types of discount passes it should offer this season. How many people went ice skating more than 2 times?\n" }, { "from": "gpt", "solution": "Find the rows for 3 and 4 times. Add the frequencies for these rows.\n\nAdd:\n\n18 + 2 = 20\n\n20 people went ice skating more than 2 times.", "answer": "20", "table": "**Ice skating last winter**\n\n| Number of times | Frequency |\n| --- | --- |\n| 1 | 20 |\n| 2 | 12 |\n| 3 | 18 |\n| 4 | 2 |" } ] }, { "id": "29516", "image": "29516.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. How long does it take to get from the historic house to the governor's mansion?\n" }, { "from": "gpt", "solution": "Read the times in the first column for the historic house and the governor's mansion.\n\nFind the elapsed time between 10:15 A. M. and 1:00 P. M. The elapsed time is 2 hours and 45 minutes.\n\nNo matter which column of times you look at, the elapsed time is always 2 hours and 45 minutes.", "answer": "2 hours and 45 minutes", "table": "**Tour bus schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 | Column 5 |\n| --- | --- | --- | --- | --- |\n| historic house | 10:15 A.M. | 10:30 A.M. | 10:45 A.M. | 11:00 A.M. |\n| downtown | 11:00 A.M. | 11:15 A.M. | 11:30 A.M. | 11:45 A.M. |\n| skyscraper | 11:30 A.M. | 11:45 A.M. | 12:00 P.M. | 12:15 P.M. |\n| old building | 12:30 P.M. | 12:45 P.M. | 1:00 P.M. | 1:15 P.M. |\n| governor's mansion | 1:00 P.M. | 1:15 P.M. | 1:30 P.M. | 1:45 P.M. |" } ] }, { "id": "29524", "image": "29524.png", "conversations": [ { "from": "human", "question": "Tina bought 5 kilograms of spelt rolls and 4 kilograms of English muffins. How much did she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the spelt rolls. Multiply:\n\n$6.66 × 5 = $33.30\n\nFind the cost of the English muffins. Multiply:\n\n$8.36 × 4 = $33.44\n\nNow find the total cost by adding:\n\n$33.30 + $33.44 = $66.74\n\nShe spent $66.74.", "answer": "66.74", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| English muffins | $8.36 per kilogram |\n| spelt rolls | $6.66 per kilogram |\n| hamburger buns | $6.73 per kilogram |\n| French rolls | $7.00 per kilogram |\n| hot dog buns | $8.38 per kilogram |\n| tortillas | $4.67 per kilogram |" } ] }, { "id": "29530", "image": "29530.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{9 - 18}{4 - 3}\n = \\frac{-9}{1}\n = -9\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{0 - 18}{5 - 3}\n = \\frac{-18}{2}\n = -9\nThe two rates of change are the same.\n9.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 3 | 18 |\n| 4 | 9 |\n| 5 | 0 |" } ] }, { "id": "29535", "image": "29535.png", "conversations": [ { "from": "human", "question": "Each box has 5 pumpkin scones. How many pumpkin scones are in 5 boxes?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 25 pumpkin scones in 5 boxes.", "answer": "25", "table": "| Number of boxes | Number of pumpkin scones |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | 20 |\n| 5 | ? |" } ] }, { "id": "29538", "image": "29538.png", "conversations": [ { "from": "human", "question": "Monica went to the store and bought 1.9 pounds of rectangular erasers . How much did she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the rectangular erasers. Multiply the price per pound by the number of pounds.\n$3 × 1.9 = $5.70\nShe spent $5.70.", "answer": "5.70", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| flower erasers | $3 per lb |\n| heart erasers | $6 per lb |\n| rectangular erasers | $3 per lb |\n| animal erasers | $3 per lb |\n| alphabet erasers | $5 per lb |" } ] }, { "id": "29549", "image": "29549.png", "conversations": [ { "from": "human", "question": "Jonah bought 5 pounds of butter pecan ice cream. How much did he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the butter pecan ice cream. Multiply the price per pound by the number of pounds.\n\n$4.01 × 5 = $20.05\n\nHe spent $20.05.", "answer": "20.05", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| chocolate ice cream | $2.22 per pound |\n| vanilla ice cream | $5.10 per pound |\n| rocky road ice cream | $3.68 per pound |\n| butter pecan ice cream | $4.01 per pound |\n| pistachio ice cream | $2.17 per pound |\n| Neapolitan ice cream | $4.23 per pound |" } ] }, { "id": "29556", "image": "29556.png", "conversations": [ { "from": "human", "question": "Kristen buys 3 pounds of Pink Lady apples. How much does she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the Pink Lady apples. Multiply the price per pound by the number of pounds.\n\n$1.65 × 3 = $4.95\n\nShe spends $4.95.", "answer": "4.95", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| Washington apples | $1.64/pound |\n| Macintosh apples | $1.83/pound |\n| Gala apples | $1.71/pound |\n| Cameo apples | $0.96/pound |\n| Pink Lady apples | $1.65/pound |\n| Fuji apples | $1.99/pound |" } ] }, { "id": "29558", "image": "29558.png", "conversations": [ { "from": "human", "question": "At a swim meet, Cameron noted the size of various swim teams. How many teams have at least 74 swimmers?\n" }, { "from": "gpt", "solution": "Find the row with stem 7. Count all the leaves greater than or equal to 4.\n\nCount all the leaves in the rows with stems 8 and 9.\n\nYou counted 6 leaves, which are blue in the stem-and-leaf plots above. 6 teams have at least 74 swimmers.", "answer": "6", "table": "**Swimming team sizes (number of swimmers)**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 0 |\n| 4 | 7 |\n| 5 | 0, 5, 8, 8 |\n| 6 | 2 |\n| 7 | 0, 1, 1, 4, 8 |\n| 8 | 1, 5, 9 |\n| 9 | 0 |" } ] }, { "id": "29566", "image": "29566.png", "conversations": [ { "from": "human", "question": "A real estate agent drove around the neighborhood and counted the number of houses on each block. What is the largest number of houses?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 3.\n\nNow find the highest leaf in the last row. The highest leaf is 4.\n\nThe largest number of houses has a stem of 3 and a leaf of 4. Write the stem first, then the leaf: 34.\n\nThe largest number of houses is 34 houses.", "answer": "34", "table": "**Houses per block**\n\n| Stem | Leaf |\n| --- | --- |\n| 0 | 7, 9, 9 |\n| 1 | 1, 1, 5, 5, 6 |\n| 2 | 2, 3, 4, 5, 8 |\n| 3 | 4 |" } ] }, { "id": "29570", "image": "29570.png", "conversations": [ { "from": "human", "question": "Eduardo tracked the maximum daily wind speed for 5 days. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n18, 19, 9, 13, 11\n\nFirst, count how many numbers are in the group.\n\nThere are 5 numbers.\n\nNow add all the numbers together:\n\n18 + 19 + 9 + 13 + 11 = 70\n\nNow divide the sum by the number of numbers:\n\n70 ÷ 5 = 14\n\nThe mean is 14.", "answer": "14", "table": "**Daily wind speed**\n\n| Day | Wind speed (miles per hour) |\n| --- | --- |\n| Tuesday | 18 |\n| Wednesday | 19 |\n| Thursday | 9 |\n| Friday | 13 |\n| Saturday | 11 |" } ] }, { "id": "29571", "image": "29571.png", "conversations": [ { "from": "human", "question": "Look at this table. Is this relation a function?\n" }, { "from": "gpt", "solution": "Look at the x-values in the table.\n\nEach of the x-values is paired with only one y-value, so the relation is a function.", "answer": "yes", "table": "| x | y |\n| --- | --- |\n| 2 | 20 |\n| 4 | 3 |\n| 9 | 2 |\n| 12 | 15 |" } ] }, { "id": "29574", "image": "29574.png", "conversations": [ { "from": "human", "question": "Several people compared how many Web pages they had visited. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n10, 7, 5, 5, 3, 4, 6\n\nFirst, arrange the numbers from least to greatest:\n\n3, 4, 5, 5, 6, 7, 10\n\nNow find the number in the middle.\n\n3, 4, 5, 5, 6, 7, 10\n\nThe number in the middle is 5.\n\nThe median is 5.", "answer": "5", "table": "**Web pages visited**\n\n| Person | Number of Web pages |\n| --- | --- |\n| Gary | 10 |\n| Kiera | 7 |\n| Brandon | 5 |\n| Dale | 5 |\n| Anthony | 3 |\n| Jack | 4 |\n| Rafi | 6 |" } ] }, { "id": "29575", "image": "29575.png", "conversations": [ { "from": "human", "question": "An Italian restaurant monitored the number of times its regular customers ate pizza last month. How many customers ate pizza at least 5 times?\n" }, { "from": "gpt", "solution": "Find the rows for 5 and 6 times. Add the frequencies for these rows.\n\nAdd:\n\n13 + 6 = 19\n\n19 customers ate pizza at least 5 times.", "answer": "19", "table": "**Eating pizza last month**\n\n| Times eaten | Frequency |\n| --- | --- |\n| 0 | 7 |\n| 1 | 9 |\n| 2 | 12 |\n| 3 | 20 |\n| 4 | 10 |\n| 5 | 13 |\n| 6 | 6 |" } ] }, { "id": "29578", "image": "29578.png", "conversations": [ { "from": "human", "question": "A crayon factory monitored the number of broken crayons per box during the past day. How many boxes had exactly 31 broken crayons?\n" }, { "from": "gpt", "solution": "For the number 31, the stem is 3, and the leaf is 1. Find the row where the stem is 3. In that row, count all the leaves equal to 1.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 boxes had exactly 31 broken crayons.", "answer": "3", "table": "**Broken crayons per box**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 1, 1, 1, 5, 7, 8 |\n| 4 | 2, 4, 5 |\n| 5 | 1, 2, 2, 2, 3, 4 |\n| 6 | 0, 0, 5 |\n| 7 | 1, 3, 8, 9, 9 |" } ] }, { "id": "29581", "image": "29581.png", "conversations": [ { "from": "human", "question": "Caleb has $8. Does he have enough to buy pasta with white sauce and grilled eggplant?\n" }, { "from": "gpt", "solution": "Add the price of pasta with white sauce and the price of grilled eggplant:\n\n$4 + $4 = $8\n\nSince Caleb has $8, he has just enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| steamed broccoli | $7 |\n| grilled eggplant | $4 |\n| pasta with tomato sauce | $5 |\n| pasta with white sauce | $4 |" } ] }, { "id": "29585", "image": "29585.png", "conversations": [ { "from": "human", "question": "Colin has $0.09. Does he have enough to buy a scallop shell and a polished silver top shell?\n" }, { "from": "gpt", "solution": "Add the price of a scallop shell and the price of a polished silver top shell:\n\n$0.06 + $0.05 = $0.11\n\n$0.11 is more than $0.09. Colin does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| orange cone shell | $0.07 |\n| scallop shell | $0.06 |\n| white spindle shell | $0.04 |\n| polished silver top shell | $0.05 |" } ] }, { "id": "29591", "image": "29591.png", "conversations": [ { "from": "human", "question": "While hanging Christmas lights for neighbors, Felix counted the number of broken lights on each string. How many strings had exactly 28 broken lights?\n" }, { "from": "gpt", "solution": "For the number 28, the stem is 2, and the leaf is 8. Find the row where the stem is 2. In that row, count all the leaves equal to 8.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 strings had exactly28 broken lights.", "answer": "3", "table": "**Broken lights per string**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 1, 7, 8, 8, 8, 9 |\n| 3 | 0, 5 |\n| 4 | 3, 8, 8 |\n| 5 | 9, 9 |\n| 6 | 0, 7 |\n| 7 | |\n| 8 | 3, 6, 7 |" } ] }, { "id": "29592", "image": "29592.png", "conversations": [ { "from": "human", "question": "Connor's P.E. class participated in a push-up competition, and Connor wrote down how many push-ups each person could do. How many people did at least 43 push-ups but fewer than 63 push-ups?\n" }, { "from": "gpt", "solution": "Find the row with stem 4. Count all the leaves greater than or equal to 3.\n\nCount all the leaves in the row with stem 5.\n\nIn the row with stem 6, count all the leaves less than 3.\n\nYou counted 7 leaves, which are blue in the stem-and-leaf plots above. 7 people did at least 43 push-ups but fewer than 63 push-ups.", "answer": "7", "table": "**Push-up competition (number of push-ups)**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 6, 7, 8 |\n| 5 | 2, 6 |\n| 6 | 1, 2, 6, 8 |\n| 7 | 1, 7, 8 |" } ] }, { "id": "29594", "image": "29594.png", "conversations": [ { "from": "human", "question": "Ariana worked at a smoothie shop last summer. Here are Ariana's finances for the summer. What was Ariana's net income last summer?\n" }, { "from": "gpt", "solution": "Ariana's gross income was $7,128. Her payroll taxes were $783.\nSubtract to find Ariana's net income.\n$7,128 - $783 = $6,345\nAriana's net income last summer was $6,345.", "answer": "6,345", "table": "**Ariana's summer finances**\n\n| Column 1 | Column 2 |\n| --- | --- |\n| Earnings from job at the smoothie shop | $7,128 |\n| Income tax and other payroll taxes | $783 |" } ] }, { "id": "29597", "image": "29597.png", "conversations": [ { "from": "human", "question": "Clarence's class tracked how many newspapers each student collected for their recycling project. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n56, 56, 58, 53, 56, 58, 53, 56\n\nFirst, arrange the numbers from least to greatest:\n\n53, 53, 56, 56, 56, 56, 58, 58\n\nNow count how many times each number appears.\n\n53 appears 2 times.\n56 appears 4 times.\n58 appears 2 times.\n\nThe number that appears most often is 56.\n\nThe mode is 56.", "answer": "56", "table": "**Newspapers collected**\n\n| Name | Number of newspapers |\n| --- | --- |\n| Clarence | 56 |\n| Hakim | 56 |\n| Ed | 58 |\n| Josiah | 53 |\n| Brody | 56 |\n| Stanley | 58 |\n| Kendra | 53 |\n| Rick | 56 |" } ] }, { "id": "29602", "image": "29602.png", "conversations": [ { "from": "human", "question": "An ice cream shop kept track of how many ice cream cones it sold in the past 5 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n55, 65, 77, 66, 77\n\nFirst, arrange the numbers from least to greatest:\n\n55, 65, 66, 77, 77\n\nNow find the number in the middle.\n\n55, 65, 66, 77, 77\n\nThe number in the middle is 66.\n\nThe median is 66.", "answer": "66", "table": "**Ice cream cones sold**\n\n| Day | Number of ice cream cones |\n| --- | --- |\n| Friday | 55 |\n| Saturday | 65 |\n| Sunday | 77 |\n| Monday | 66 |\n| Tuesday | 77 |" } ] }, { "id": "29607", "image": "29607.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $210, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $210, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $210 | 15,900 | 3,900 |\n| $280 | 15,800 | 4,200 |\n| $350 | 15,700 | 4,500 |\n| $420 | 15,600 | 4,800 |\n| $490 | 15,500 | 5,100 |" } ] }, { "id": "29613", "image": "29613.png", "conversations": [ { "from": "human", "question": "Chef Arnold baked his famous casseroles for a company holiday party. The casseroles had different shapes and different delicious fillings. What is the probability that a randomly selected casserole is shaped like a rectangle and is filled with spinach? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the casserole is shaped like a rectangle\" and B be the event \"the casserole is filled with spinach\".\nTo find the probability that a casserole is shaped like a rectangle and is filled with spinach, first identify the sample space and the event.\nThe outcomes in the sample space are the different casseroles. Each casserole is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the casserole is shaped like a rectangle and is filled with spinach\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the casserole is shaped like a rectangle and is filled with spinach\", so look at the table to see how many casseroles are shaped like a rectangle and are filled with spinach.\nThe number of casseroles that are shaped like a rectangle and are filled with spinach is 5.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of casseroles.\n5 + 2 + 1 + 4 = 12\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{5}{12}\nThe probability that a casserole is shaped like a rectangle and is filled with spinach is \\frac{5}{12}.", "answer": "5/12", "table": "| | Spinach | Cheese |\n| --- | --- | --- |\n| Rectangle | 5 | 1 |\n| Circle | 2 | 4 |" } ] }, { "id": "29615", "image": "29615.png", "conversations": [ { "from": "human", "question": "A video store clerk looked up the number of movies checked out each day. On which day were the fewest movies checked out?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 521.\n\nNow find the corresponding day. Friday corresponds to 521.", "answer": "Friday", "table": "**Movies checked out**\n\n| Day | Number of movies |\n| --- | --- |\n| Thursday | 572 |\n| Friday | 521 |\n| Saturday | 575 |\n| Sunday | 552 |" } ] }, { "id": "29619", "image": "29619.png", "conversations": [ { "from": "human", "question": "How much money does Raymond need to buy a white T-shirt, an orange T-shirt, and a blue sweater?\n" }, { "from": "gpt", "solution": "Find the total cost of a white T-shirt, an orange T-shirt, and a blue sweater.\n\n$9.00 + $3.00 + $4.00 = $16.00\n\nRaymond needs $16.00.", "answer": "16", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| blue sweater | $4.00 |\n| orange T-shirt | $3.00 |\n| pair of white socks | $6.00 |\n| white T-shirt | $9.00 |" } ] }, { "id": "29625", "image": "29625.png", "conversations": [ { "from": "human", "question": "How much money does Nolan need to buy a breakfast burrito and buttermilk pancakes?\n" }, { "from": "gpt", "solution": "Add the price of a breakfast burrito and the price of buttermilk pancakes:\n\n$8 + $9 = $17\n\nNolan needs $17.", "answer": "17", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| breakfast burrito | $8 |\n| bowl of berries | $1 |\n| blueberry pancakes | $7 |\n| buttermilk pancakes | $9 |\n| egg sandwich | $3 |" } ] }, { "id": "29627", "image": "29627.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Hannah got on the train at the restaurant district at 9.15 A.M. What time will she get to the art gallery district?\n" }, { "from": "gpt", "solution": "Find 9:15 A. M. in the row for the restaurant district. That column shows the schedule for the train that Hannah is on.\n\nLook down the column until you find the row for the art gallery district.\n\nHannah will get to the art gallery district at 1:15 P. M.", "answer": "1:15 P.M.", "table": "**Subway train schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 |\n| --- | --- | --- | --- |\n| restaurant district | 9:15 A.M. | 9:30 A.M. | 9:45 A.M. |\n| downtown | 10:15 A.M. | 10:30 A.M. | 10:45 A.M. |\n| industrial district | 11:15 A.M. | 11:30 A.M. | 11:45 A.M. |\n| university | 11:45 A.M. | 12:00 P.M. | 12:15 P.M. |\n| history museum | 12:45 P.M. | 1:00 P.M. | 1:15 P.M. |\n| art gallery district | 1:15 P.M. | 1:30 P.M. | 1:45 P.M. |\n| baseball stadium | 1:30 P.M. | 1:45 P.M. | 2:00 P.M. |\n| shopping district | 2:00 P.M. | 2:15 P.M. | 2:30 P.M. |" } ] }, { "id": "29628", "image": "29628.png", "conversations": [ { "from": "human", "question": "How much more does a shiny gold shell cost than an oyster shell?\n" }, { "from": "gpt", "solution": "Subtract the price of an oyster shell from the price of a shiny gold shell.\n\n$0.78 - $0.36 = $0.42\n\nA shiny gold shell costs $0.42 more than an oyster shell.", "answer": "0.42", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| whole sand dollar | $0.39 |\n| polished silver top shell | $0.27 |\n| shiny gold shell | $0.78 |\n| oyster shell | $0.36 |\n| dark gray shell | $0.85 |" } ] }, { "id": "29632", "image": "29632.png", "conversations": [ { "from": "human", "question": "Each sheet has 10 stickers. How many stickers are on 4 sheets?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 40 stickers on 4 sheets.", "answer": "40", "table": "| Number of sheets | Number of stickers |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | ? |" } ] }, { "id": "29634", "image": "29634.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{4 - 2}{19 - 18}\n = \\frac{2}{1}\n = 2\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{6 - 2}{20 - 18}\n = \\frac{4}{2}\n = 2\nThe two rates of change are the same.\nIf you checked the rate of change between rows 2 and 3, you would find that it is also 2.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 18 | 2 |\n| 19 | 4 |\n| 20 | 6 |" } ] }, { "id": "29636", "image": "29636.png", "conversations": [ { "from": "human", "question": "For a math assignment, students noted the number of times a wheel landed on the numbers 0 through 5. Which number was spun the most times?\n" }, { "from": "gpt", "solution": "Look at the frequency column. Find the greatest frequency. The greatest frequency is 17, which is in the row for 5. 5 was spun the most times.", "answer": "5", "table": "**Spinning a wheel numbered 0 through 5**\n\n| Number spun | Frequency |\n| --- | --- |\n| 0 | 6 |\n| 1 | 9 |\n| 2 | 5 |\n| 3 | 8 |\n| 4 | 3 |\n| 5 | 17 |" } ] }, { "id": "29640", "image": "29640.png", "conversations": [ { "from": "human", "question": "Kenji looked at his calendar to see how many hours he had worked in the past 7 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n2, 0, 7, 4, 6, 8, 4\n\nFirst, arrange the numbers from least to greatest:\n\n0, 2, 4, 4, 6, 7, 8\n\nNow find the number in the middle.\n\n0, 2, 4, 4, 6, 7, 8\n\nThe number in the middle is 4.\n\nThe median is 4.", "answer": "4", "table": "**Hours worked**\n\n| Day | Hours |\n| --- | --- |\n| Monday | 2 |\n| Tuesday | 0 |\n| Wednesday | 7 |\n| Thursday | 4 |\n| Friday | 6 |\n| Saturday | 8 |\n| Sunday | 4 |" } ] }, { "id": "29652", "image": "29652.png", "conversations": [ { "from": "human", "question": "Westminster Flooring tracked the number of broken tiles in each shipment it received last year. How many shipments had at least 26 broken tiles?\n" }, { "from": "gpt", "solution": "Find the row with stem 2. Count all the leaves greater than or equal to 6.\n\nCount all the leaves in the rows with stems 3, 4, 5, 6, 7, and 8.\n\nYou counted 8 leaves, which are blue in the stem-and-leaf plots above. 8 shipments had at least 26 broken tiles.", "answer": "8", "table": "**Broken tiles per shipment**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1, 5 |\n| 2 | 9 |\n| 3 | 0 |\n| 4 | 4 |\n| 5 | 3 |\n| 6 | 4, 4 |\n| 7 | 5 |\n| 8 | 7 |" } ] }, { "id": "29656", "image": "29656.png", "conversations": [ { "from": "human", "question": "Each train has 2 cars. How many cars are on 6 trains?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 12 cars on 6 trains.", "answer": "12", "table": "| Number of trains | Number of cars |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | 6 |\n| 4 | 8 |\n| 5 | 10 |\n| 6 | ? |" } ] }, { "id": "29668", "image": "29668.png", "conversations": [ { "from": "human", "question": "A fashion magazine poll asks how many winter hats each reader owns. How many readers have at least 3 hats?\n" }, { "from": "gpt", "solution": "Find the rows for 3 and 4 hats. Add the frequencies for these rows.\n\nAdd:\n\n12 + 1 = 13\n\n13 readers have at least 3 hats.", "answer": "13", "table": "**Winter hats**\n\n| Number of winter hats | Frequency |\n| --- | --- |\n| 0 | 15 |\n| 1 | 20 |\n| 2 | 17 |\n| 3 | 12 |\n| 4 | 1 |" } ] }, { "id": "29681", "image": "29681.png", "conversations": [ { "from": "human", "question": "How much money does Devin need to buy a book about Antarctica and a book about animals?\n" }, { "from": "gpt", "solution": "Add the price of a book about Antarctica and the price of a book about animals:\n\n$2 + $3 = $5\n\nDevin needs $5.", "answer": "5", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| book about Antarctica | $2 |\n| book about basketball | $4 |\n| book about birds | $1 |\n| book about South America | $8 |\n| book about animals | $3 |" } ] }, { "id": "29691", "image": "29691.png", "conversations": [ { "from": "human", "question": "The employees at Jeremiah's Construction monitored the number of cracked window panes in each shipment they received. How many shipments had at least 10 cracked window panes but less than 90 cracked window panes?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1, 2, 3, 4, 5, 6, 7, and 8.\n\nYou counted 8 leaves, which are blue in the stem-and-leaf plot above. 8 shipments had at least 10 cracked window panes but less than 90 cracked window panes.", "answer": "8", "table": "**Cracked window panes per shipment**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 8 |\n| 2 | 5, 6 |\n| 3 | |\n| 4 | 9 |\n| 5 | |\n| 6 | 6 |\n| 7 | 9 |\n| 8 | 1 |" } ] }, { "id": "29693", "image": "29693.png", "conversations": [ { "from": "human", "question": "A girl compared the ages of her cousins. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n3, 4, 8, 9, 6, 4, 6, 8\n\nFirst, find the greatest number. The greatest number is 9.\n\nNext, find the least number. The least number is 3.\n\nSubtract the least number from the greatest number:\n\n9 − 3 = 6\n\nThe range is 6.", "answer": "6", "table": "**Ages of cousins**\n\n| Name | Age (years) |\n| --- | --- |\n| Ross | 3 |\n| Janelle | 4 |\n| Franklin | 8 |\n| Neil | 9 |\n| Marcy | 6 |\n| Kelly | 4 |\n| Cooper | 6 |\n| Victor | 8 |" } ] }, { "id": "29697", "image": "29697.png", "conversations": [ { "from": "human", "question": "A reporter looked through his notebook to remember how many people he had interviewed in the past 7 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n10, 3, 10, 6, 4, 2, 3\n\nFirst, find the greatest number. The greatest number is 10.\n\nNext, find the least number. The least number is 2.\n\nSubtract the least number from the greatest number:\n\n10 − 2 = 8\n\nThe range is 8.", "answer": "8", "table": "**People interviewed**\n\n| Day | Number of people |\n| --- | --- |\n| Monday | 10 |\n| Tuesday | 3 |\n| Wednesday | 10 |\n| Thursday | 6 |\n| Friday | 4 |\n| Saturday | 2 |\n| Sunday | 3 |" } ] }, { "id": "29699", "image": "29699.png", "conversations": [ { "from": "human", "question": "Worried about going over her storage limit, Deb monitored the number of undeleted voicemail messages stored on her phone each day. According to the table, what was the rate of change between Tuesday and Wednesday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{25 voicemail messages - 25 voicemail messages}{1 day}\n = \\frac{0 voicemail messages}{1 day}\n = 0 voicemail messages per day\nThe rate of change between Tuesday and Wednesday was 0 voicemail messages per day.", "answer": "0", "table": "**Voicemail messages on Deb's phone**\n\n| Day | Voicemail messages |\n| --- | --- |\n| Monday | 24 |\n| Tuesday | 25 |\n| Wednesday | 25 |\n| Thursday | 23 |\n| Friday | 18 |" } ] }, { "id": "29728", "image": "29728.png", "conversations": [ { "from": "human", "question": "The employees at Manuel's Construction monitored the number of cracked window panes in each shipment they received. How many shipments had at least 20 cracked window panes?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 2, 3, 4, 5, 6, 7, 8, and 9.\n\nYou counted 24 leaves, which are blue in the stem-and-leaf plot above. 24 shipments had at least 20 cracked window panes.", "answer": "24", "table": "**Cracked window panes per shipment**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1 |\n| 2 | 0, 4 |\n| 3 | 1, 3, 4 |\n| 4 | 1, 5, 9 |\n| 5 | 1, 3, 9 |\n| 6 | 1, 1, 5, 5, 7 |\n| 7 | 1, 2, 6, 8, 9 |\n| 8 | 6, 8 |\n| 9 | 0 |" } ] }, { "id": "29735", "image": "29735.png", "conversations": [ { "from": "human", "question": "Brianna buys 1/10 of a pound of size 4 screws. How much does she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the size 4 screws. Multiply the price per pound by the number of pounds.\n$7 × \\frac{1}{10} = $7 × 0.1 = $0.70\nShe spends $0.70.", "answer": "0.70", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| size 3 screws | $9 per pound |\n| size 6 screws | $8 per pound |\n| size 4 screws | $7 per pound |\n| size 1 screws | $8 per pound |\n| size 5 screws | $10 per pound |" } ] }, { "id": "29736", "image": "29736.png", "conversations": [ { "from": "human", "question": "A printing shop kept a log of how many sheets of paper were used in the past 3 days. How many sheets of paper in total did the printing shop use on Sunday and Monday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nSunday: 2,823\nMonday: 3,416\n\nNow add: 2,823 + 3,416 = 6,239.\n\nThe printing shop used 6,239 sheets of paper on Sunday and Monday.", "answer": "6,239", "table": "**Sheets of paper used**\n\n| Day | Number of sheets of paper |\n| --- | --- |\n| Sunday | 2,823 |\n| Monday | 3,416 |\n| Tuesday | 3,541 |" } ] }, { "id": "29737", "image": "29737.png", "conversations": [ { "from": "human", "question": "The Dayton Soup Company recorded the number of rotten tomatoes in each barrel it received. How many barrels had exactly 87 rotten tomatoes?\n" }, { "from": "gpt", "solution": "For the number 87, the stem is 8, and the leaf is 7. Find the row where the stem is 8. In that row, count all the leaves equal to 7.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 barrels had exactly 87 rotten tomatoes.", "answer": "2", "table": "**Rotten tomatoes per barrel**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 1, 3 |\n| 3 | 7 |\n| 4 | 0 |\n| 5 | 0, 1, 5, 5, 6, 7, 7, 9 |\n| 6 | 2, 8 |\n| 7 | 2, 7, 8, 9 |\n| 8 | 1, 4, 6, 7, 7, 8 |" } ] }, { "id": "29738", "image": "29738.png", "conversations": [ { "from": "human", "question": "How much money does Zane need to buy 5 footstools and a chest of drawers?\n" }, { "from": "gpt", "solution": "Find the cost of 5 footstools.\n\n$20.74 × 5 = $103.70\n\nNow find the total cost.\n\n$103.70 + $56.47 = $160.17\n\nZane needs $160.17.", "answer": "160.17", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| footstool | $20.74 |\n| coffee table | $58.13 |\n| nightstand | $47.47 |\n| chest of drawers | $56.47 |" } ] }, { "id": "29760", "image": "29760.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does the sporting group competition end?\n" }, { "from": "gpt", "solution": "Find the sporting group competition on the schedule. Find the end time for the sporting group competition.\n\nsporting group: 4:25 P. M.", "answer": "4:25 P.M.", "table": "**Dog show schedule**\n\n| Group | Begin | End |\n| --- | --- | --- |\n| herding group | 10:10 A.M. | 11:10 A.M. |\n| terrier group | 11:25 A.M. | 12:25 P.M. |\n| toy group | 12:35 P.M. | 2:30 P.M. |\n| sporting group | 3:00 P.M. | 4:25 P.M. |\n| non-sporting group | 4:30 P.M. | 6:25 P.M. |" } ] }, { "id": "29769", "image": "29769.png", "conversations": [ { "from": "human", "question": "Braden purchased 0.7 kilograms of boysenberry jam. What was the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the boysenberry jam. Multiply the price per kilogram by the number of kilograms.\n$3 × 0.7 = $2.10\nThe total cost was $2.10.", "answer": "2.10", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| boysenberry jam | $3 per kg |\n| raspberry jam | $2 per kg |\n| apple butter | $2 per kg |\n| marmalade | $3 per kg |\n| blueberry jam | $3 per kg |" } ] }, { "id": "29771", "image": "29771.png", "conversations": [ { "from": "human", "question": "A philanthropic organization compared the amounts of money that its members donated to certain causes. Who donated the most money to arts education?\n" }, { "from": "gpt", "solution": "Look at the numbers in the Arts education column. Find the greatest number in this column.\n\nThe greatest number is $13.00, which is in the Miranda row. Miranda donated the most to arts education.", "answer": "Miranda", "table": "**Donations**\n\n| Person | Arts education | Clean water |\n| --- | --- | --- |\n| Katy | $5 | $12 |\n| Miranda | $13 | $6 |\n| Layla | $4 | $19 |\n| Jonah | $7 | $1 |" } ] }, { "id": "29774", "image": "29774.png", "conversations": [ { "from": "human", "question": "The train conductor made sure to count the number of passengers on each train. What is the smallest number of passengers?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 1.\n\nNow find the lowest leaf in the first row. The lowest leaf is 4.\n\nThe smallest number of passengers has a stem of 1 and a leaf of 4. Write the stem first, then the leaf: 14.\n\nThe smallest number of passengers is 14 passengers.", "answer": "14", "table": "**Passengers per train**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 4, 6, 7 |\n| 2 | 0, 2, 3, 3, 5 |\n| 3 | 4, 8 |\n| 4 | 4 |\n| 5 | 2, 3 |\n| 6 | 0, 1, 1, 3 |\n| 7 | 2, 5 |\n| 8 | 2, 4, 6, 7 |" } ] }, { "id": "29780", "image": "29780.png", "conversations": [ { "from": "human", "question": "Camilla, a doctor's office receptionist, tracked the average waiting time at the office each month. According to the table, what was the rate of change between May and June?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{32 minutes - 40 minutes}{1 month}\n = \\frac{-8 minutes}{1 month}\n = -8 minutes per month\nThe rate of change between May and June was - 8 minutes per month.", "answer": "-8", "table": "**Average waiting time at a doctor's office**\n\n| Month | Waiting time (minutes) |\n| --- | --- |\n| March | 19 |\n| April | 11 |\n| May | 40 |\n| June | 32 |\n| July | 5 |" } ] }, { "id": "29783", "image": "29783.png", "conversations": [ { "from": "human", "question": "A vendor who sold bread at farmers' markets counted the number of leftover loaves at the end of each day. According to the table, what was the rate of change between Tuesday and Wednesday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{12 loaves - 7 loaves}{1 day}\n = \\frac{5 loaves}{1 day}\n = 5 loaves per day\nThe rate of change between Tuesday and Wednesday was 5 loaves per day.", "answer": "5", "table": "**Loaves of leftover bread**\n\n| Day | Leftover loaves |\n| --- | --- |\n| Sunday | 13 |\n| Monday | 15 |\n| Tuesday | 7 |\n| Wednesday | 12 |\n| Thursday | 9 |" } ] }, { "id": "29784", "image": "29784.png", "conversations": [ { "from": "human", "question": "The Allenville Soup Company recorded the number of rotten tomatoes in each barrel it received. What is the largest number of rotten tomatoes?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 5.\n\nNow find the highest leaf in the last row. The highest leaf is 9.\n\nThe largest number of rotten tomatoes has a stem of 5 and a leaf of 9. Write the stem first, then the leaf: 59.\n\nThe largest number of rotten tomatoes is 59 rotten tomatoes.", "answer": "59", "table": "**Rotten tomatoes per barrel**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 2, 3, 4, 5, 7, 9, 9 |\n| 3 | 1, 5, 8 |\n| 4 | 1, 1, 3, 6, 7, 7, 8 |\n| 5 | 0, 1, 4, 5, 6, 7, 8, 9 |" } ] }, { "id": "29792", "image": "29792.png", "conversations": [ { "from": "human", "question": "A skating rink attendant monitored the number of injuries at the rink over the past year. He tracked the ages of those injured and the kinds of skates worn during injury. What is the probability that a randomly selected injured skater was wearing in-line skates and was age 10? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the injured skater was wearing in-line skates\" and B be the event \"the injured skater was age 10\".\nTo find the probability that a injured skater was wearing in-line skates and was age 10, first identify the sample space and the event.\nThe outcomes in the sample space are the different injured skaters. Each injured skater is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the injured skater was wearing in-line skates and was age 10\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the injured skater was wearing in-line skates and was age 10\", so look at the table to see how many injured skaters were wearing in-line skates and were age 10.\nThe number of injured skaters who were wearing in-line skates and were age 10 is 3.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of injured skaters.\n3 + 4 + 3 + 1 = 11\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{3}{11}\nThe probability that a injured skater was wearing in-line skates and was age 10 is \\frac{3}{11}.", "answer": "3/11", "table": "| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| | Age 8 | Age 10 |\n| In-line skates | 3 | 3 |\n| Roller skates | 4 | 1 |" } ] }, { "id": "29793", "image": "29793.png", "conversations": [ { "from": "human", "question": "A shipping company keeps track of the number of boxes in each shipment they send out. How many shipments had exactly 56 boxes?\n" }, { "from": "gpt", "solution": "For the number 56, the stem is 5, and the leaf is 6. Find the row where the stem is 5. In that row, count all the leaves equal to 6.\n\nYou counted 0 leaves. 0 shipments had exactly 56 boxes.", "answer": "0", "table": "**Boxes per shipment**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 9 |\n| 2 | 6 |\n| 3 | 4, 9 |\n| 4 | 1, 9 |\n| 5 | 0, 3, 9 |\n| 6 | 4, 8 |" } ] }, { "id": "29796", "image": "29796.png", "conversations": [ { "from": "human", "question": "How much money does Juan need to buy 6 blueberry cheesecakes?\n" }, { "from": "gpt", "solution": "Find the total cost of 6 blueberry cheesecakes by multiplying 6 times the price of a blueberry cheesecake.\n\n$26.00 × 6 = $156.00\n\nJuan needs $156.00.", "answer": "156", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| birthday cake | $29.00 |\n| blueberry cheesecake | $26.00 |\n| cherry pie | $12.00 |\n| chocolate cheesecake | $28.00 |\n| pear tart | $22.00 |\n| banana cream pie | $14.00 |" } ] }, { "id": "29802", "image": "29802.png", "conversations": [ { "from": "human", "question": "An environmental agency examined how many trees were planted by different organizations. In all, how many trees were planted by New Planet and Plant It?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nNew Planet: 233\nPlant It: 158\n\nNow add: 233 + 158 = 391.\n\nIn all, 391 trees were planted by New Planet and Plant It.", "answer": "391", "table": "**Trees planted**\n\n| Organization | Number of trees planted |\n| --- | --- |\n| Trees for All | 584 |\n| New Planet | 233 |\n| Plant It | 158 |" } ] }, { "id": "29807", "image": "29807.png", "conversations": [ { "from": "human", "question": "Rose, an employee at Conway's Convenience Store, looked at the sales of each of its soda products. On Friday, how much more did the convenience store make from Krazy Kola sales than from Pearl's Soda sales?\n" }, { "from": "gpt", "solution": "Find the Friday column. Find the numbers in this column for Krazy Kola and Pearl's Soda.\n\nKrazy Kola: $17.00\nPearl's Soda: $15.00\n\nNow subtract:\n\n$17.00 − $15.00 = $2.00\n\nOn Friday, the convenience store made $2 more from Krazy Kola sales than from Pearl's Soda sales.", "answer": "2", "table": "**Convenience store beverage sales**\n\n| Beverage | Friday | Saturday |\n| --- | --- | --- |\n| Pearl's Soda | $15 | $12 |\n| Krazy Kola | $17 | $6 |\n| Nature's Nectar | $18 | $12 |" } ] }, { "id": "29808", "image": "29808.png", "conversations": [ { "from": "human", "question": "Belleville University offers five applied majors and monitors the number of students in each. What fraction of the students in applied majors are majoring in mechanical engineering? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many students are majoring in mechanical engineering.\n\n290\n\nFind how many total students are in all the applied majors.\n\n410 + 350 + 320 + 160 + 290 = 1,530\n\nDivide 290 by1,530.\n\n\\frac{290}{1,530}\n\nReduce the fraction.\n\n\\frac{290}{1,530} → \\frac{29}{153}\n\n\\frac{29}{153} of students are majoring in mechanical engineering.", "answer": "29/153", "table": "**Students in applied majors**\n\n| School | Intake |\n| --- | --- |\n| Computer science | 410 |\n| Electronics | 350 |\n| Architecture | 320 |\n| Industrial design | 160 |\n| Mechanical engineering | 290 |" } ] }, { "id": "29809", "image": "29809.png", "conversations": [ { "from": "human", "question": "While working as a summer camp counselor, Emmet monitored how many candy necklaces each child made. How many children made fewer than 2 candy necklaces?\n" }, { "from": "gpt", "solution": "Find the rows for 0 and 1 candy necklace. Add the frequencies for these rows.\n\nAdd:\n\n10 + 11 = 21\n\n21 children made fewer than 2 candy necklaces.", "answer": "21", "table": "**Making candy necklaces**\n\n| Candy necklaces made | Frequency |\n| --- | --- |\n| 0 | 10 |\n| 1 | 11 |\n| 2 | 8 |\n| 3 | 5 |" } ] }, { "id": "29814", "image": "29814.png", "conversations": [ { "from": "human", "question": "A food industry researcher compiled the revenues of several pizzerias. How much more did Pizzas Only make from pepperoni pizza sales than from cheese pizza sales?\n" }, { "from": "gpt", "solution": "Find the Pizzas Only row. Find the numbers in this row for pepperoni pizzas and cheese pizzas.\n\npepperoni pizzas: $19.00\ncheese pizzas: $8.00\n\nNow subtract:\n\n$19.00 − $8.00 = $11.00\n\nPizzas Only made $11 more from pepperoni pizza sales than from cheese pizza sales.", "answer": "11", "table": "**Pizza sales**\n\n| Restaurant | Pepperoni pizzas | Cheese pizzas |\n| --- | --- | --- |\n| Pizzas Only | $19 | $8 |\n| Pizzeria Italiano | $8 | $18 |\n| Pizza Italia | $12 | $9 |\n| Taste of New York | $13 | $17 |" } ] }, { "id": "29830", "image": "29830.png", "conversations": [ { "from": "human", "question": "Mrs. Norman kept track of her students' scores on last year's final exam. What is the lowest score?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 1.\n\nNow find the lowest leaf in the first row. The lowest leaf is 3.\n\nThe lowest score has a stem of 1 and a leaf of 3. Write the stem first, then the leaf: 13.\n\nThe lowest score is 13 points.", "answer": "13", "table": "**Final exam scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 3, 3, 4, 9 |\n| 2 | 1, 4, 7 |\n| 3 | 2 |\n| 4 | 2, 4 |\n| 5 | 0, 6, 7 |\n| 6 | 0, 3 |\n| 7 | 0, 5, 7 |" } ] }, { "id": "29842", "image": "29842.png", "conversations": [ { "from": "human", "question": "This is Eli's complete financial record for March. How much money did Eli have at the start of March?\n" }, { "from": "gpt", "solution": "At the end of February, Eli had available funds of $374.05. He started the next month with that amount. So, Eli had $374.05 at the start of March.\n", "answer": "374.05", "table": "| Date | Description | Received | Expenses | Available Funds |\n| --- | --- | --- | --- | --- |\n| | Balance: end of February | | | $374.05 |\n| 3/18 | leash | | $7.60 | $366.45 |\n| 3/20 | bag of dog treats | | $8.15 | $358.30 |\n| 3/21 | walking neighbor's dog | $35.00 | | $393.30 |" } ] }, { "id": "29844", "image": "29844.png", "conversations": [ { "from": "human", "question": "Oliver has $0.05. Does he have enough to buy a robot stamp and a coyote stamp?\n" }, { "from": "gpt", "solution": "Add the price of a robot stamp and the price of a coyote stamp:\n\n$0.01 + $0.05 = $0.06\n\n$0.06 is more than $0.05. Oliver does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| coyote stamp | $0.05 |\n| robot stamp | $0.01 |\n| butterfly stamp | $0.01 |\n| flag stamp | $0.09 |" } ] }, { "id": "29852", "image": "29852.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{15 - 11}{13 - 12}\n = \\frac{4}{1}\n = 4\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{19 - 11}{14 - 12}\n = \\frac{8}{2}\n = 4\nThe two rates of change are the same.\nIf you checked the rate of change between rows 2 and 3, you would find that it is also 4.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 12 | 11 |\n| 13 | 15 |\n| 14 | 19 |" } ] }, { "id": "29865", "image": "29865.png", "conversations": [ { "from": "human", "question": "Carter kept track of how many laps he swam during the past 4 days. On which day did Carter swim the fewest laps?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 65.\n\nNow find the corresponding day. Friday corresponds to 65.", "answer": "Friday", "table": "**Laps swum**\n\n| Day | Number of laps |\n| --- | --- |\n| Tuesday | 68 |\n| Wednesday | 69 |\n| Thursday | 67 |\n| Friday | 65 |" } ] }, { "id": "29869", "image": "29869.png", "conversations": [ { "from": "human", "question": "For a math assignment, Shane researched the scores of the people competing on his favorite quiz show. How many people scored at least 50 points but fewer than 100 points?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 5, 6, 7, 8, and 9.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 people scored at least 50 points but fewer than 100 points.", "answer": "4", "table": "**Quiz show scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 4 |\n| 2 | 9 |\n| 3 | |\n| 4 | 5 |\n| 5 | 7 |\n| 6 | 4, 7 |\n| 7 | |\n| 8 | |\n| 9 | 0 |" } ] }, { "id": "29872", "image": "29872.png", "conversations": [ { "from": "human", "question": "The city library monitored the number of books checked out each day. On which day were the most books checked out?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 384.\n\nNow find the corresponding day. Saturday corresponds to 384.", "answer": "Saturday", "table": "**Books checked out**\n\n| Day | Number of books |\n| --- | --- |\n| Friday | 383 |\n| Saturday | 384 |\n| Sunday | 334 |\n| Monday | 342 |" } ] }, { "id": "29885", "image": "29885.png", "conversations": [ { "from": "human", "question": "How much money does Camille need to buy 4 water heaters?\n" }, { "from": "gpt", "solution": "Find the total cost of 4 water heaters by multiplying 4 times the price of a water heater.\n\n$479.00 × 4 = $1,916.00\n\nCamille needs $1,916.00.", "answer": "1,916", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| dishwasher | $302.00 |\n| oven | $724.00 |\n| refrigerator | $446.00 |\n| clothes dryer | $271.00 |\n| barbecue grill | $621.00 |\n| water heater | $479.00 |" } ] }, { "id": "29886", "image": "29886.png", "conversations": [ { "from": "human", "question": "Isaiah has $836. Does he have enough to buy a clothes dryer and a barbecue grill?\n" }, { "from": "gpt", "solution": "Add the price of a clothes dryer and the price of a barbecue grill:\n\n$645 + $202 = $847\n\n$847 is more than $836. Isaiah does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| water heater | $599 |\n| barbecue grill | $202 |\n| washing machine | $145 |\n| clothes dryer | $645 |" } ] }, { "id": "29889", "image": "29889.png", "conversations": [ { "from": "human", "question": "Some farmers compared how many tractors they own. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n8, 8, 5, 9, 6, 3, 4, 7\n\nFirst, find the greatest number. The greatest number is 9.\n\nNext, find the least number. The least number is 3.\n\nSubtract the least number from the greatest number:\n\n9 − 3 = 6\n\nThe range is 6.", "answer": "6", "table": "**Tractors**\n\n| Farmer | Number of tractors |\n| --- | --- |\n| Farmer Andy | 8 |\n| Farmer Alex | 8 |\n| Farmer Jane | 5 |\n| Farmer Rob | 9 |\n| Farmer Joe | 6 |\n| Farmer Allison | 3 |\n| Farmer Tom | 4 |\n| Farmer Susie | 7 |" } ] }, { "id": "29898", "image": "29898.png", "conversations": [ { "from": "human", "question": "How much more does a baseball glove cost than a jump rope?\n" }, { "from": "gpt", "solution": "Subtract the price of a jump rope from the price of a baseball glove.\n\n$9.56 - $6.08 = $3.48\n\nA baseball glove costs $3.48 more than a jump rope.", "answer": "3.48", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| volleyball | $8.47 |\n| baseball glove | $9.56 |\n| bike horn | $2.47 |\n| jump rope | $6.08 |" } ] }, { "id": "29914", "image": "29914.png", "conversations": [ { "from": "human", "question": "Some friends discussed the sizes of their coin collections. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n33, 28, 38, 35, 27\n\nFirst, arrange the numbers from least to greatest:\n\n27, 28, 33, 35, 38\n\nNow find the number in the middle.\n\n27, 28, 33, 35, 38\n\nThe number in the middle is 33.\n\nThe median is 33.", "answer": "33", "table": "**Coin collections**\n\n| Name | Number of coins |\n| --- | --- |\n| Franklin | 33 |\n| Elise | 28 |\n| Christina | 38 |\n| Annie | 35 |\n| Janice | 27 |" } ] }, { "id": "29917", "image": "29917.png", "conversations": [ { "from": "human", "question": "Look at this table. Is this relation a function?\n" }, { "from": "gpt", "solution": "Look at the x-values in the table.\n\nThe x-value 14 is paired with multiple y-values, so the relation is not a function.", "answer": "no", "table": "| x | y |\n| --- | --- |\n| 14 | 3 |\n| 14 | 7 |\n| 4 | 5 |\n| 3 | 8 |" } ] }, { "id": "29925", "image": "29925.png", "conversations": [ { "from": "human", "question": "In order to complete their model of a futuristic highway, students in Ms. Ezra's design class find out how many toy cars each student can bring to class. How many students have more than 1 toy car?\n" }, { "from": "gpt", "solution": "Find the rows for 2 and 3 toy cars. Add the frequencies for these rows.\n\nAdd:\n\n14 + 4 = 18\n\n18 students have more than 1 toy car.", "answer": "18", "table": "**Toy cars**\n\n| Number of toy cars | Frequency |\n| --- | --- |\n| 0 | 17 |\n| 1 | 12 |\n| 2 | 14 |\n| 3 | 4 |" } ] }, { "id": "29928", "image": "29928.png", "conversations": [ { "from": "human", "question": "A jeweler in Springfield examined which metals her customers selected for wedding bands last year. What fraction of the rings sold had a platinum band? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many rings with a platinum band were sold.\n\n900\n\nFind how many rings were sold in total.\n\n220 + 690 + 900 = 1,810\n\nDivide 900 by1,810.\n\n\\frac{900}{1,810}\n\nReduce the fraction.\n\n\\frac{900}{1,810} → \\frac{90}{181}\n\n\\frac{90}{181} of rings with a platinum band were sold.", "answer": "90/181", "table": "**Wedding ring preference**\n\n| Metal | Rings bought |\n| --- | --- |\n| Silver | 220 |\n| Gold | 690 |\n| Platinum | 900 |" } ] }, { "id": "29934", "image": "29934.png", "conversations": [ { "from": "human", "question": "How much money does Maggie need to buy 3 telescopes?\n" }, { "from": "gpt", "solution": "Find the total cost of 3 telescopes by multiplying 3 times the price of a telescope.\n\n$7,281.00 × 3 = $21,843.00\n\nMaggie needs $21,843.00.", "answer": "21,843", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| laboratory freezer | $1,459.00 |\n| microscope | $6,527.00 |\n| precision balance | $4,833.00 |\n| centrifuge | $1,577.00 |\n| telescope | $7,281.00 |\n| autoclave | $3,362.00 |" } ] }, { "id": "29935", "image": "29935.png", "conversations": [ { "from": "human", "question": "Ayana recalled how many goals she had made in soccer practice each day. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n2, 3, 2, 2, 8\n\nFirst, arrange the numbers from least to greatest:\n\n2, 2, 2, 3, 8\n\nNow find the number in the middle.\n\n2, 2, 2, 3, 8\n\nThe number in the middle is 2.\n\nThe median is 2.", "answer": "2", "table": "**Goals made**\n\n| Day | Number of goals |\n| --- | --- |\n| Monday | 2 |\n| Tuesday | 3 |\n| Wednesday | 2 |\n| Thursday | 2 |\n| Friday | 8 |" } ] }, { "id": "29944", "image": "29944.png", "conversations": [ { "from": "human", "question": "Each shelf has 2 blocks of cheese. How many blocks of cheese are on 3 shelves?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 6 blocks of cheese on 3 shelves.", "answer": "6", "table": "| Number of shelves | Number of blocks of cheese |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | ? |" } ] }, { "id": "29967", "image": "29967.png", "conversations": [ { "from": "human", "question": "What is the total cost for 1 kilogram of gouda?\n" }, { "from": "gpt", "solution": "Find the cost of the gouda. Multiply the price per kilogram by the number of kilograms.\n\n$4 × 1 = $4\n\nThe total cost is $4.", "answer": "4", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| feta | $4/kg |\n| Brie | $4/kg |\n| mozzarella | $2/kg |\n| gouda | $4/kg |" } ] }, { "id": "29968", "image": "29968.png", "conversations": [ { "from": "human", "question": "How much money does Lee need to buy pasta with tomato sauce, pasta with white sauce, and spaghetti and meatballs?\n" }, { "from": "gpt", "solution": "Find the total cost of pasta with tomato sauce, pasta with white sauce, and spaghetti and meatballs.\n\n$6 + $7 + $8 = $21\n\nLee needs $21.", "answer": "21", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pasta with tomato sauce | $6 |\n| cheese pizza | $5 |\n| steamed broccoli | $7 |\n| green salad | $4 |\n| spaghetti and meatballs | $8 |\n| pasta with white sauce | $7 |" } ] }, { "id": "29969", "image": "29969.png", "conversations": [ { "from": "human", "question": "How much money does Belle need to buy a diamond pendant and an emerald ring?\n" }, { "from": "gpt", "solution": "Add the price of a diamond pendant and the price of an emerald ring:\n\n$7,607 + $7,042 = $14,649\n\nBelle needs $14,649.", "answer": "14,649", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| diamond bracelet | $2,797 |\n| emerald ring | $7,042 |\n| diamond pendant | $7,607 |\n| ruby bracelet | $3,501 |\n| emerald pendant | $5,859 |" } ] }, { "id": "29971", "image": "29971.png", "conversations": [ { "from": "human", "question": "While looking through an almanac at the library, Ruben noticed some data showing the population density of various states. In 1990, which of the states shown had the most people per square mile?\n" }, { "from": "gpt", "solution": "Look at the numbers in the 1990 column. Find the greatest number in this column.\n\nThe greatest number is 12, which is in the New Mexico row. In 1990, New Mexico had the most people per square mile.", "answer": "New Mexico", "table": "**Population per square mile**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| State | 1990 | 2000 |\n| Nevada | 10 | 18 |\n| New Mexico | 12 | 15 |\n| South Dakota | 9 | 10 |\n| North Dakota | 9 | 9 |" } ] }, { "id": "29972", "image": "29972.png", "conversations": [ { "from": "human", "question": "A drawing class was assigned a final project where students had to choose one art medium and one subject. The teacher kept track of the types of projects submitted. What is the probability that a randomly selected student used chalk and chose to draw a plant? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the student used chalk\" and B be the event \"the student chose to draw a plant\".\nTo find the probability that a student used chalk and chose to draw a plant, first identify the sample space and the event.\nThe outcomes in the sample space are the different students. Each student is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the student used chalk and chose to draw a plant\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the student used chalk and chose to draw a plant\", so look at the table to see how many students used chalk and chose to draw a plant.\nThe number of students who used chalk and chose to draw a plant is 3.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of students.\n2 + 3 + 3 + 3 = 11\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{3}{11}\nThe probability that a student used chalk and chose to draw a plant is \\frac{3}{11}.", "answer": "3/11", "table": "| | A plant | An insect |\n| --- | --- | --- |\n| Acrylic paint | 2 | 3 |\n| Chalk | 3 | 3 |" } ] }, { "id": "29979", "image": "29979.png", "conversations": [ { "from": "human", "question": "At a candy factory, butterscotch candies were packaged into bags of different sizes. What is the smallest number of butterscotch candies?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 4.\n\nNow find the lowest leaf in the first row. The lowest leaf is 6.\n\nThe smallest number of butterscotch candies has a stem of 4 and a leaf of 6. Write the stem first, then the leaf: 46.\n\nThe smallest number of butterscotch candies is 46 butterscotch candies.", "answer": "46", "table": "**Butterscotch candies per bag**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 6, 9 |\n| 5 | 9, 9, 9 |\n| 6 | 8, 9 |\n| 7 | |\n| 8 | 3 |" } ] }, { "id": "29986", "image": "29986.png", "conversations": [ { "from": "human", "question": "Every year Oak Grove has a citywide relay and reports the winning times. According to the table, what was the rate of change between 2007 and 2008?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{44 minutes - 47 minutes}{2008 - 2007}\n = \\frac{44 minutes - 47 minutes}{1 year}\n = \\frac{-3 minutes}{1 year}\n = -3 minutes per year\nThe rate of change between 2007 and 2008 was - 3 minutes per year.", "answer": "-3", "table": "**Winning relay times**\n\n| Year | Winning time (minutes) |\n| --- | --- |\n| 2007 | 47 |\n| 2008 | 44 |\n| 2009 | 40 |\n| 2010 | 49 |\n| 2011 | 45 |" } ] }, { "id": "29987", "image": "29987.png", "conversations": [ { "from": "human", "question": "A farmer recalled how many watermelons were harvested in the past 4 days. On which day were the fewest watermelons harvested?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 867.\n\nNow find the corresponding day. Wednesday corresponds to 867.", "answer": "Wednesday", "table": "**Watermelons harvested**\n\n| Day | Number of watermelons |\n| --- | --- |\n| Sunday | 886 |\n| Monday | 878 |\n| Tuesday | 876 |\n| Wednesday | 867 |" } ] }, { "id": "29989", "image": "29989.png", "conversations": [ { "from": "human", "question": "Shane has $1.50. Does he have enough to buy a jar of tomato sauce and a bottle of soy sauce?\n" }, { "from": "gpt", "solution": "Add the price of a jar of tomato sauce and the price of a bottle of soy sauce:\n\n$0.47 + $0.83 = $1.30\n\n$1.30 is less than $1.50. Shane does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| bottle of vinegar | $0.96 |\n| bottle of soy sauce | $0.83 |\n| jar of tomato sauce | $0.47 |\n| jar of salsa | $0.95 |" } ] }, { "id": "29990", "image": "29990.png", "conversations": [ { "from": "human", "question": "How much more does a DVD signed by a famous comedian cost than a program signed by a famous dancer?\n" }, { "from": "gpt", "solution": "Subtract the price of a program signed by a famous dancer from the price of a DVD signed by a famous comedian.\n\n$57.54 - $25.70 = $31.84\n\nA DVD signed by a famous comedian costs $31.84 more than a program signed by a famous dancer.", "answer": "31.84", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| ball signed by a famous football player | $77.37 |\n| CD signed by a famous band | $88.77 |\n| DVD signed by a famous comedian | $57.54 |\n| program signed by a famous dancer | $25.70 |\n| photograph signed by a famous singer | $93.77 |" } ] }, { "id": "29993", "image": "29993.png", "conversations": [ { "from": "human", "question": "An arcade in Lancaster keeps track of which prizes its customers get with their tickets. What fraction of the prizes were whistles? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many prizes were whistles.\n\n360\n\nFind how many prizes were given out in total.\n\n970 + 420 + 220 + 360 + 360 = 2,330\n\nDivide 360 by2,330.\n\n\\frac{360}{2,330}\n\nReduce the fraction.\n\n\\frac{360}{2,330} → \\frac{36}{233}\n\n\\frac{36}{233} of prizes were whistles.", "answer": "36/233", "table": "**Prizes given out**\n\n| Prize | Number of prizes given out |\n| --- | --- |\n| Squirt guns | 970 |\n| Model airplanes | 420 |\n| Teddy bears | 220 |\n| Whistles | 360 |\n| Other | 360 |" } ] }, { "id": "29995", "image": "29995.png", "conversations": [ { "from": "human", "question": "Bryce kept track of how many kilometers he walked during the past 7 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n4, 2, 0, 0, 0, 3, 3\n\nFirst, arrange the numbers from least to greatest:\n\n0, 0, 0, 2, 3, 3, 4\n\nNow find the number in the middle.\n\n0, 0, 0, 2, 3, 3, 4\n\nThe number in the middle is 2.\n\nThe median is 2.", "answer": "2", "table": "**Kilometers walked**\n\n| Day | Kilometers |\n| --- | --- |\n| Tuesday | 4 |\n| Wednesday | 2 |\n| Thursday | 0 |\n| Friday | 0 |\n| Saturday | 0 |\n| Sunday | 3 |\n| Monday | 3 |" } ] }, { "id": "29996", "image": "29996.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $15, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $15, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $15 | 21,700 | 1,000 |\n| $145 | 20,900 | 1,800 |\n| $275 | 20,100 | 2,600 |\n| $405 | 19,300 | 3,400 |\n| $535 | 18,500 | 4,200 |" } ] }, { "id": "29999", "image": "29999.png", "conversations": [ { "from": "human", "question": "At a candy factory, butterscotch candies were packaged into bags of different sizes. What is the smallest number of butterscotch candies?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 0.\n\nNow find the lowest leaf in the first row. The lowest leaf is 9.\n\nThe smallest number of butterscotch candies has a stem of 0 and a leaf of 9. Write the stem first, then the leaf: 09.\n\nThe smallest number of butterscotch candies is 9 butterscotch candies.", "answer": "9", "table": "**Butterscotch candies per bag**\n\n| Stem | Leaf |\n| --- | --- |\n| 0 | 9 |\n| 1 | |\n| 2 | 1, 2, 4 |\n| 3 | |\n| 4 | 7 |\n| 5 | 0, 0, 0 |\n| 6 | 9 |\n| 7 | 0, 1, 5 |\n| 8 | 0, 8 |\n| 9 | 0 |" } ] }, { "id": "30000", "image": "30000.png", "conversations": [ { "from": "human", "question": "How much more does a bookcase cost than a wooden stool?\n" }, { "from": "gpt", "solution": "Subtract the price of a wooden stool from the price of a bookcase.\n\n$82.35 - $13.13 = $69.22\n\nA bookcase costs $69.22 more than a wooden stool.", "answer": "69.22", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| wooden stool | $13.13 |\n| nightstand | $23.98 |\n| kitchen table | $42.69 |\n| hammock | $88.88 |\n| rocking chair | $96.97 |\n| bookcase | $82.35 |" } ] }, { "id": "30002", "image": "30002.png", "conversations": [ { "from": "human", "question": "How much money does Laura need to buy a ham sandwich and a cup of orange juice?\n" }, { "from": "gpt", "solution": "Add the price of a ham sandwich and the price of a cup of orange juice:\n\n$4.32 + $1.25 = $5.57\n\nLaura needs $5.57.", "answer": "5.57", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| bottle of water | $1.42 |\n| ham sandwich | $4.32 |\n| piece of cornbread | $1.06 |\n| cup of orange juice | $1.25 |\n| slice of chocolate cake | $2.95 |" } ] }, { "id": "30006", "image": "30006.png", "conversations": [ { "from": "human", "question": "A volunteer for the local running club counted the number of participants at each race. How many races had fewer than 82 participants?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 2, 3, 4, 5, 6, and 7.\n\nIn the row with stem 8, count all the leaves less than 2.\n\nYou counted 22 leaves, which are blue in the stem-and-leaf plots above. 22 races had fewer than 82 participants.", "answer": "22", "table": "**Participants per race**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 3, 4, 5, 6, 8 |\n| 3 | 0, 4, 5 |\n| 4 | 3, 9 |\n| 5 | |\n| 6 | 1, 1, 2, 2, 9 |\n| 7 | 0, 2, 7, 8 |\n| 8 | 0, 1, 1, 7, 7 |" } ] }, { "id": "30012", "image": "30012.png", "conversations": [ { "from": "human", "question": "A tennis fan counted the number of matches won by her favorite players last summer. How many players are there in all?\n" }, { "from": "gpt", "solution": "Add the frequencies for each row.\n\nAdd:\n\n13 + 17 + 20 + 11 + 5 + 7 = 73\n\nThere are 73 players in all.", "answer": "73", "table": "**Tennis matches won last summer**\n\n| Tennis matches won | Frequency |\n| --- | --- |\n| 0 | 13 |\n| 1 | 17 |\n| 2 | 20 |\n| 3 | 11 |\n| 4 | 5 |\n| 5 | 7 |" } ] }, { "id": "30015", "image": "30015.png", "conversations": [ { "from": "human", "question": "A philanthropic organization compared the amounts of money that its members donated to certain causes. How much more money did Dana donate to clean water than Ellie?\n" }, { "from": "gpt", "solution": "Find the Clean water column. Find the numbers in this column for Dana and Ellie.\n\nDana: $11.00\nEllie: $6.00\n\nNow subtract:\n\n$11.00 − $6.00 = $5.00\n\nDana donated $5 more to clean water than Ellie.", "answer": "5", "table": "**Donations**\n\n| Person | Hunger prevention | Clean water |\n| --- | --- | --- |\n| Ellie | $4 | $6 |\n| Valentina | $16 | $5 |\n| Dana | $18 | $11 |" } ] }, { "id": "30020", "image": "30020.png", "conversations": [ { "from": "human", "question": "How much more does a popcorn cart cost than a popsicle stand?\n" }, { "from": "gpt", "solution": "Subtract the price of a popsicle stand from the price of a popcorn cart.\n\n$9,112.00 - $8,883.00 = $229.00\n\nA popcorn cart costs $229.00 more than a popsicle stand.", "answer": "229", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| popsicle stand | $8,883.00 |\n| hot dog stand | $9,053.00 |\n| peanut cart | $7,546.00 |\n| ice cream truck | $8,576.00 |\n| pretzel stand | $8,522.00 |\n| popcorn cart | $9,112.00 |" } ] }, { "id": "30022", "image": "30022.png", "conversations": [ { "from": "human", "question": "Katy has $0.16. Does she have enough to buy a whole sand dollar and a purple clam shell?\n" }, { "from": "gpt", "solution": "Add the price of a whole sand dollar and the price of a purple clam shell:\n\n$0.07 + $0.09 = $0.16\n\nSince Katy has $0.16, she has just enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| orange cone shell | $0.05 |\n| oyster shell | $0.09 |\n| whole sand dollar | $0.07 |\n| dark gray shell | $0.03 |\n| shiny gold shell | $0.01 |\n| purple clam shell | $0.09 |" } ] }, { "id": "30029", "image": "30029.png", "conversations": [ { "from": "human", "question": "Mitchell has $1,503.00. Does he have enough to buy an African safari vacation package and a Caribbean vacation package?\n" }, { "from": "gpt", "solution": "Add the price of an African safari vacation package and the price of a Caribbean vacation package:\n\n$645.00 + $801.00 = $1,446.00\n\n$1,446.00 is less than $1,503.00. Mitchell does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| Australian vacation package | $815.00 |\n| Hawaiian vacation package | $693.00 |\n| African safari vacation package | $645.00 |\n| Jamaican vacation package | $908.00 |\n| European vacation package | $561.00 |\n| Caribbean vacation package | $801.00 |" } ] }, { "id": "30032", "image": "30032.png", "conversations": [ { "from": "human", "question": "How much money does Billy need to buy 5 boxes of crayons?\n" }, { "from": "gpt", "solution": "Find the total cost of 5 boxes of crayons by multiplying 5 times the price of a box of crayons.\n\n$2.24 × 5 = $11.20\n\nBilly needs $11.20.", "answer": "11.20", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| box of crayons | $2.24 |\n| silver glitter pen | $2.88 |\n| box of colored pencils | $1.25 |\n| rubber stamp | $1.51 |\n| box of paper clips | $1.47 |" } ] }, { "id": "30036", "image": "30036.png", "conversations": [ { "from": "human", "question": "Pamela went to the store. She bought 2+1/2 pounds of raisins. How much did she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the raisins. Multiply the price per pound by the number of pounds.\n$7 × 2\\frac{1}{2} = $7 × 2.5 = $17.50\nShe spent $17.50.", "answer": "17.50", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| banana chips | $6 per pound |\n| dried apple | $4 per pound |\n| dried pineapple | $5 per pound |\n| dried pear | $6 per pound |\n| raisins | $7 per pound |" } ] }, { "id": "30043", "image": "30043.png", "conversations": [ { "from": "human", "question": "How much money does Dave need to buy a toy piano and a toy rocket?\n" }, { "from": "gpt", "solution": "Add the price of a toy piano and the price of a toy rocket:\n\n$19.52 + $55.04 = $74.56\n\nDave needs $74.56.", "answer": "74.56", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| toy rocket | $55.04 |\n| model railroad set | $54.53 |\n| toy piano | $19.52 |\n| remote control car | $29.52 |\n| mystery game | $12.55 |\n| chess board | $13.00 |" } ] }, { "id": "30044", "image": "30044.png", "conversations": [ { "from": "human", "question": "The teachers at a middle school counted how many computers they had in their classrooms. Which teacher has the fewest computers?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 12.\n\nNow find the corresponding teacher. Mr. Watson corresponds to 12.", "answer": "Mr. Watson", "table": "**Computers in classrooms**\n\n| Teacher | Number of computers |\n| --- | --- |\n| Mrs. Tan | 16 |\n| Mr. Schmidt | 17 |\n| Mr. Morales | 19 |\n| Mr. Watson | 12 |" } ] }, { "id": "30047", "image": "30047.png", "conversations": [ { "from": "human", "question": "A Technical Assistance Manager monitored his customers' wait times. How many people waited for exactly 40 minutes?\n" }, { "from": "gpt", "solution": "For the number 40, the stem is 4, and the leaf is 0. Find the row where the stem is 4. In that row, count all the leaves equal to 0.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 people waited for exactly 40 minutes.", "answer": "3", "table": "**Technical assistance wait times (minutes)**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 2, 3, 5, 5 |\n| 3 | 7 |\n| 4 | 0, 0, 0, 5, 5, 7 |\n| 5 | 3, 9 |\n| 6 | 2 |\n| 7 | |\n| 8 | |\n| 9 | 0 |" } ] }, { "id": "30052", "image": "30052.png", "conversations": [ { "from": "human", "question": "A researcher recorded the number of cows on each farm in the county. How many farms have exactly 42 cows?\n" }, { "from": "gpt", "solution": "For the number 42, the stem is 4, and the leaf is 2. Find the row where the stem is 4. In that row, count all the leaves equal to 2.\n\nYou counted 1 leaf, which is blue in the stem-and-leaf plot above. 1 farm has exactly 42 cows.", "answer": "1", "table": "**Cows per farm**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1, 6 |\n| 2 | 2, 2, 2, 4, 7 |\n| 3 | 1 |\n| 4 | 2, 9 |" } ] }, { "id": "30055", "image": "30055.png", "conversations": [ { "from": "human", "question": "How much would it cost to buy 5 pounds of sand and 3 pounds of sawdust?\n" }, { "from": "gpt", "solution": "Find the cost of the sand. Multiply:\n\n$2 × 5 = $10\n\nFind the cost of the sawdust. Multiply:\n\n$2 × 3 = $6\n\nNow find the total cost by adding:\n\n$10 + $6 = $16\n\nIt would cost $16.", "answer": "16", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| dirt | $2 per pound |\n| bark | $4 per pound |\n| sand | $2 per pound |\n| sawdust | $2 per pound |" } ] }, { "id": "30056", "image": "30056.png", "conversations": [ { "from": "human", "question": "The staff of a newspaper examined the number of copies sold over the past 3 days. How many more copies were sold on Wednesday than on Monday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nWednesday: 7,820\nMonday: 4,330\n\nNow subtract: 7,820 - 4,330 = 3,490.\n\n3,490 more copies were sold on Wednesday.", "answer": "3,490", "table": "**Newspapers sold**\n\n| Day | Number of newspapers |\n| --- | --- |\n| Monday | 4,330 |\n| Tuesday | 6,498 |\n| Wednesday | 7,820 |" } ] }, { "id": "30072", "image": "30072.png", "conversations": [ { "from": "human", "question": "How much money does David need to buy 4 pairs of shorts?\n" }, { "from": "gpt", "solution": "Find the total cost of 4 pairs of shorts by multiplying 4 times the price of a pair of shorts.\n\n$16.65 × 4 = $66.60\n\nDavid needs $66.60.", "answer": "66.60", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pair of brown pants | $21.36 |\n| pair of shorts | $16.65 |\n| pair of tennis shoes | $15.63 |\n| denim jacket | $22.82 |\n| black jacket | $12.64 |\n| pair of boots | $35.51 |" } ] }, { "id": "30076", "image": "30076.png", "conversations": [ { "from": "human", "question": "Some friends compared the sizes of their stuffed animal collections. Who has the most stuffed animals?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 98.\n\nNow find the corresponding name. Sue corresponds to 98.", "answer": "Sue", "table": "**Stuffed animal collections**\n\n| Name | Number of stuffed animals |\n| --- | --- |\n| Sue | 98 |\n| Evelyn | 93 |\n| Peter | 92 |\n| Adele | 91 |" } ] }, { "id": "30078", "image": "30078.png", "conversations": [ { "from": "human", "question": "A pair of Fulton High School hockey fans counted the number of games won by the school each year. According to the table, what was the rate of change between 2013 and 2014?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{8 games - 15 games}{2014 - 2013}\n = \\frac{8 games - 15 games}{1 year}\n = \\frac{-7 games}{1 year}\n = -7 games per year\nThe rate of change between 2013 and 2014 was - 7 games per year.", "answer": "-7", "table": "**Hockey games won by Fulton High**\n\n| Year | Games won |\n| --- | --- |\n| 2011 | 16 |\n| 2012 | 8 |\n| 2013 | 15 |\n| 2014 | 8 |\n| 2015 | 11 |" } ] }, { "id": "30081", "image": "30081.png", "conversations": [ { "from": "human", "question": "Mark attended his town's annual Worm Charming Competition. Contestants are assigned to a square foot of land, where they have 30 minutes to \"charm\" worms to the surface of the dirt using a single technique. Mark observed contestants' charming techniques, and kept track of how many worms surfaced. What is the probability that a randomly selected contestant tried tapping the ground and charmed 5-10 worms? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the contestant tried tapping the ground\" and B be the event \"the contestant charmed 5-10 worms\".\nTo find the probability that a contestant tried tapping the ground and charmed 5-10 worms, first identify the sample space and the event.\nThe outcomes in the sample space are the different contestants. Each contestant is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the contestant tried tapping the ground and charmed 5-10 worms\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the contestant tried tapping the ground and charmed 5-10 worms\", so look at the table to see how many contestants tried tapping the ground and charmed 5-10 worms.\nThe number of contestants who tried tapping the ground and charmed 5-10 worms is 1.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of contestants.\n1 + 3 + 6 + 5 = 15\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{1}{15}\nThe probability that a contestant tried tapping the ground and charmed 5-10 worms is \\frac{1}{15}.", "answer": "1/15", "table": "| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| | 5-10 worms | 11-20 worms |\n| Tapping the ground | 1 | 6 |\n| Raking the ground | 3 | 5 |" } ] }, { "id": "30088", "image": "30088.png", "conversations": [ { "from": "human", "question": "How much more does a jar of strawberry jam cost than a bottle of vinegar?\n" }, { "from": "gpt", "solution": "Subtract the price of a bottle of vinegar from the price of a jar of strawberry jam.\n\n$3.77 - $1.97 = $1.80\n\nA jar of strawberry jam costs $1.80 more than a bottle of vinegar.", "answer": "1.80", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| jar of strawberry jam | $3.77 |\n| jar of honey | $2.51 |\n| bottle of vinegar | $1.97 |\n| bottle of ketchup | $1.28 |" } ] }, { "id": "30093", "image": "30093.png", "conversations": [ { "from": "human", "question": "Some students compared how many pairs of boots they own. How many students own more than 1 pair of boots?\n" }, { "from": "gpt", "solution": "Find the rows for 2, 3, 4, and 5 pairs of boots. Add the frequencies for these rows.\n\nAdd:\n\n14 + 6 + 3 + 4 = 27\n\n27 students own more than 1 pair of boots.", "answer": "27", "table": "**Pairs of boots**\n\n| Number of pairs of boots | Frequency |\n| --- | --- |\n| 0 | 7 |\n| 1 | 13 |\n| 2 | 14 |\n| 3 | 6 |\n| 4 | 3 |\n| 5 | 4 |" } ] }, { "id": "30094", "image": "30094.png", "conversations": [ { "from": "human", "question": "Terrence, a candy store employee, placed peppermint candies into jars of various sizes. How many jars had fewer than 85 peppermint candies?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1, 2, 3, 4, 5, 6, and 7.\n\nIn the row with stem 8, count all the leaves less than 5.\n\nYou counted 13 leaves, which are blue in the stem-and-leaf plots above. 13 jars had fewer than 85 peppermint candies.", "answer": "13", "table": "**Peppermint candies per jar**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 9 |\n| 2 | 7, 7 |\n| 3 | 1, 1, 1, 6 |\n| 4 | 0, 8 |\n| 5 | 8 |\n| 6 | 8 |\n| 7 | 6, 8 |\n| 8 | 8 |\n| 9 | 0 |" } ] }, { "id": "30105", "image": "30105.png", "conversations": [ { "from": "human", "question": "Vincent has $73.50. Does he have enough to buy a tarantula and a scorpion?\n" }, { "from": "gpt", "solution": "Add the price of a tarantula and the price of a scorpion:\n\n$42.16 + $29.36 = $71.52\n\n$71.52 is less than $73.50. Vincent does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| cockatoo | $28.43 |\n| scorpion | $29.36 |\n| tarantula | $42.16 |\n| finch | $11.13 |\n| pot-bellied pig | $24.39 |\n| tree frog | $32.21 |" } ] }, { "id": "30108", "image": "30108.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which activity ends at 2.00 P.M.?\n" }, { "from": "gpt", "solution": "Find 2:00 P. M. on the schedule. The beginning snowboard class ends at 2:00 P. M.", "answer": "beginning snowboard class", "table": "**Winter lodge schedule**\n\n| Activity | Begin | End |\n| --- | --- | --- |\n| beginning ski class | 9:05 A.M. | 10:30 A.M. |\n| snowman competition | 10:50 A.M. | 12:00 P.M. |\n| beginning snowboard class | 12:45 P.M. | 2:00 P.M. |\n| cross-country ski tour | 2:05 P.M. | 2:50 P.M. |\n| intermediate ski class | 3:25 P.M. | 4:35 P.M. |\n| figure skating | 5:15 P.M. | 6:45 P.M. |\n| ice skating class | 7:10 P.M. | 7:55 P.M. |\n| snowshoe adventure | 8:10 P.M. | 9:25 P.M. |" } ] }, { "id": "30109", "image": "30109.png", "conversations": [ { "from": "human", "question": "During a lesson on graphing data, students in Mrs. Maddie's math class guessed a number between 1 and 5 and recorded the results. How many students guessed a number less than 4?\n" }, { "from": "gpt", "solution": "Find the rows for 1, 2, and 3. Add the frequencies for these rows.\n\nAdd:\n\n14 + 0 + 17 = 31\n\n31 students guessed a number less than 4.", "answer": "31", "table": "**Guessing a number between 1 and 5**\n\n| Number guessed | Frequency |\n| --- | --- |\n| 1 | 14 |\n| 2 | 0 |\n| 3 | 17 |\n| 4 | 4 |\n| 5 | 16 |" } ] }, { "id": "30119", "image": "30119.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $400, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $400, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $160 | 23,600 | 2,100 |\n| $220 | 23,000 | 5,200 |\n| $280 | 22,400 | 8,300 |\n| $340 | 21,800 | 11,400 |\n| $400 | 21,200 | 14,500 |" } ] }, { "id": "30123", "image": "30123.png", "conversations": [ { "from": "human", "question": "Professor Joyce informed his students of their scores on the midterm exam. How many students scored exactly 85 points?\n" }, { "from": "gpt", "solution": "For the number 85, the stem is 8, and the leaf is 5. Find the row where the stem is 8. In that row, count all the leaves equal to 5.\n\nYou counted 1 leaf, which is blue in the stem-and-leaf plot above. 1 student scored exactly 85 points.", "answer": "1", "table": "**Midterm exam scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 2, 3, 3 |\n| 4 | 1, 5 |\n| 5 | 2, 3, 3 |\n| 6 | 9, 9 |\n| 7 | 2, 5, 6, 9 |\n| 8 | 1, 3, 5, 6, 8, 9 |" } ] }, { "id": "30124", "image": "30124.png", "conversations": [ { "from": "human", "question": "Mrs. Wagner kept track of her students' scores on last year's final exam. How many students scored at least 80 points but fewer than 90 points?\n" }, { "from": "gpt", "solution": "Count all the leaves in the row with stem 8.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 students scored at least 80 points but fewer than 90 points.", "answer": "3", "table": "**Final exam scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 1 |\n| 4 | 1, 2, 4, 6, 8 |\n| 5 | 2, 3, 8 |\n| 6 | 6, 7 |\n| 7 | 0, 3, 3, 7 |\n| 8 | 4, 7, 8 |" } ] }, { "id": "30125", "image": "30125.png", "conversations": [ { "from": "human", "question": "How much more does a pair of jeans cost than a black skirt?\n" }, { "from": "gpt", "solution": "Subtract the price of a black skirt from the price of a pair of jeans.\n\n$9 - $3 = $6\n\nA pair of jeans costs $6 more than a black skirt.", "answer": "6", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| orange T-shirt | $9 |\n| long-sleeved shirt | $7 |\n| pair of jeans | $9 |\n| black skirt | $3 |" } ] }, { "id": "30127", "image": "30127.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{7 - 0}{14 - 13}\n = \\frac{7}{1}\n = 7\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{11 - 0}{15 - 13}\n = \\frac{11}{2}\n = 5\\frac{1}{2}\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 13 | 0 |\n| 14 | 7 |\n| 15 | 11 |" } ] }, { "id": "30128", "image": "30128.png", "conversations": [ { "from": "human", "question": "Shannon baked cookies each day for a bake sale. On which day did Shannon bake the fewest cookies?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 212.\n\nNow find the corresponding day. Thursday corresponds to 212.", "answer": "Thursday", "table": "**Cookies baked**\n\n| Day | Number of cookies |\n| --- | --- |\n| Monday | 223 |\n| Tuesday | 231 |\n| Wednesday | 213 |\n| Thursday | 212 |" } ] }, { "id": "30141", "image": "30141.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Bernard got on the bus at the aquarium at 10.30 A.M. What time will he get to the art museum?\n" }, { "from": "gpt", "solution": "Find 10:30 A. M. in the row for the aquarium. That column shows the schedule for the bus that Bernard is on.\n\nLook down the column until you find the row for the art museum.\n\nBernard will get to the art museum at 1:30 P. M.", "answer": "1:30 P.M.", "table": "**Tour bus schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 | Column 5 | Column 6 |\n| --- | --- | --- | --- | --- | --- |\n| city hall | 8:45 A.M. | 9:30 A.M. | 9:45 A.M. | 10:00 A.M. | 10:15 A.M. |\n| university campus | 9:00 A.M. | 9:45 A.M. | 10:00 A.M. | 10:15 A.M. | 10:30 A.M. |\n| the aquarium | 9:45 A.M. | 10:30 A.M. | 10:45 A.M. | 11:00 A.M. | 11:15 A.M. |\n| science museum | 10:30 A.M. | 11:15 A.M. | 11:30 A.M. | 11:45 A.M. | 12:00 P.M. |\n| shopping district | 10:45 A.M. | 11:30 A.M. | 11:45 A.M. | 12:00 P.M. | 12:15 P.M. |\n| the riverfront | 11:45 A.M. | 12:30 P.M. | 12:45 P.M. | 1:00 P.M. | 1:15 P.M. |\n| art museum | 12:45 P.M. | 1:30 P.M. | 1:45 P.M. | 2:00 P.M. | 2:15 P.M. |\n| landmark sculpture | 1:15 P.M. | 2:00 P.M. | 2:15 P.M. | 2:30 P.M. | 2:45 P.M. |" } ] }, { "id": "30144", "image": "30144.png", "conversations": [ { "from": "human", "question": "A machine at the candy factory dispensed different numbers of lemon-flavored candies into various bags. How many bags had at least 0 lemon-flavored candies?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 0, 1, 2, 3, 4, 5, 6, and 7.\n\nYou counted 18 leaves, which are blue in the stem-and-leaf plot above. 18 bags had at least 0 lemon-flavored candies.", "answer": "18", "table": "**Lemon-flavored candies per bag**\n\n| Stem | Leaf |\n| --- | --- |\n| 0 | 2, 5, 9 |\n| 1 | 1, 4, 6 |\n| 2 | 1, 1, 8 |\n| 3 | 1, 4 |\n| 4 | 4 |\n| 5 | |\n| 6 | 0, 4, 7, 9 |\n| 7 | 2, 7 |" } ] }, { "id": "30149", "image": "30149.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which activity ends at 9.00 A.M.?\n" }, { "from": "gpt", "solution": "Find 9:00 A. M. on the schedule. The water balloon toss ends at 9:00 A. M.", "answer": "water balloon toss", "table": "**Camp schedule**\n\n| Activity | Begin | End |\n| --- | --- | --- |\n| water balloon toss | 8:15 A.M. | 9:00 A.M. |\n| quiet time | 9:05 A.M. | 10:35 A.M. |\n| music class | 10:40 A.M. | 12:00 P.M. |\n| volleyball game | 12:05 P.M. | 12:55 P.M. |\n| scavenger hunt | 1:00 P.M. | 1:30 P.M. |\n| canoeing class | 1:40 P.M. | 2:55 P.M. |\n| arts and crafts | 3:00 P.M. | 3:35 P.M. |\n| horseback riding class | 3:45 P.M. | 4:55 P.M. |" } ] }, { "id": "30150", "image": "30150.png", "conversations": [ { "from": "human", "question": "How much would it cost to buy 4 pounds of quick oatmeal ?\n" }, { "from": "gpt", "solution": "Find the cost of the quick oatmeal. Multiply the price per pound by the number of pounds.\n\n$1.47 × 4 = $5.88\n\nIt would cost $5.88.", "answer": "5.88", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| granola | $0.64/lb |\n| instant oatmeal | $1.15/lb |\n| quick oatmeal | $1.47/lb |\n| old-fashioned oatmeal | $0.74/lb |" } ] }, { "id": "30153", "image": "30153.png", "conversations": [ { "from": "human", "question": "The gym teacher wrote down how many tennis balls his students hit in half an hour. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n56, 53, 52, 51, 48, 52, 49, 55\n\nFirst, count how many numbers are in the group.\n\nThere are 8 numbers.\n\nNow add all the numbers together:\n\n56 + 53 + 52 + 51 + 48 + 52 + 49 + 55 = 416\n\nNow divide the sum by the number of numbers:\n\n416 ÷ 8 = 52\n\nThe mean is 52.", "answer": "52", "table": "**Hitting tennis balls**\n\n| Name | Number of tennis balls |\n| --- | --- |\n| Trevor | 56 |\n| Marvin | 53 |\n| Lacey | 52 |\n| Susan | 51 |\n| Dylan | 48 |\n| Carla | 52 |\n| Ariel | 49 |\n| Rita | 55 |" } ] }, { "id": "30154", "image": "30154.png", "conversations": [ { "from": "human", "question": "The financial aid office at Barton University produced an internal report on the number of students receiving scholarships. According to the table, what was the rate of change between 2013 and 2014?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{48 students - 45 students}{2014 - 2013}\n = \\frac{48 students - 45 students}{1 year}\n = \\frac{3 students}{1 year}\n = 3 students per year\nThe rate of change between 2013 and 2014 was 3 students per year.", "answer": "3", "table": "**Students receiving scholarships**\n\n| Year | Students |\n| --- | --- |\n| 2012 | 44 |\n| 2013 | 45 |\n| 2014 | 48 |\n| 2015 | 28 |\n| 2016 | 45 |" } ] }, { "id": "30157", "image": "30157.png", "conversations": [ { "from": "human", "question": "Professor Bowman released the results of yesterday's pop quiz. How many students scored at least 88 points but fewer than 96 points?\n" }, { "from": "gpt", "solution": "Find the row with stem 8. Count all the leaves greater than or equal to 8.\n\nIn the row with stem 9, count all the leaves less than 6.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plots above. 2 students scored at least 88 points but fewer than 96 points.", "answer": "2", "table": "**Pop quiz scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 6 | 1, 1, 1, 3, 3, 8 |\n| 7 | 2, 6 |\n| 8 | 0, 0, 1 |\n| 9 | 0, 0 |" } ] }, { "id": "30158", "image": "30158.png", "conversations": [ { "from": "human", "question": "A restaurant's average food preparation time was tracked from day to day as part of an efficiency improvement program. According to the table, what was the rate of change between Wednesday and Thursday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{34 minutes - 42 minutes}{1 day}\n = \\frac{-8 minutes}{1 day}\n = -8 minutes per day\nThe rate of change between Wednesday and Thursday was - 8 minutes per day.", "answer": "-8", "table": "**Average food preparation time**\n\n| Day | Food preparation time (minutes) |\n| --- | --- |\n| Monday | 36 |\n| Tuesday | 24 |\n| Wednesday | 42 |\n| Thursday | 34 |\n| Friday | 9 |" } ] }, { "id": "30173", "image": "30173.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{17 - 20}{8 - 7}\n = \\frac{-3}{1}\n = -3\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{12 - 17}{9 - 8}\n = \\frac{-5}{1}\n = -5\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 7 | 20 |\n| 8 | 17 |\n| 9 | 12 |" } ] }, { "id": "30176", "image": "30176.png", "conversations": [ { "from": "human", "question": "Janet kept track of the number of games her soccer team won each year. According to the table, what was the rate of change between 2017 and 2018?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{41 games - 37 games}{2018 - 2017}\n = \\frac{41 games - 37 games}{1 year}\n = \\frac{4 games}{1 year}\n = 4 games per year\nThe rate of change between 2017 and 2018 was 4 games per year.", "answer": "4", "table": "**Games won by Janet's soccer team**\n\n| Year | Games won |\n| --- | --- |\n| 2015 | 42 |\n| 2016 | 34 |\n| 2017 | 37 |\n| 2018 | 41 |\n| 2019 | 37 |" } ] }, { "id": "30192", "image": "30192.png", "conversations": [ { "from": "human", "question": "Paula has $154. Does she have enough to buy a football ticket and a basketball ticket?\n" }, { "from": "gpt", "solution": "Add the price of a football ticket and the price of a basketball ticket:\n\n$90 + $58 = $148\n\n$148 is less than $154. Paula does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| football ticket | $90 |\n| golf ticket | $57 |\n| soccer ticket | $76 |\n| basketball ticket | $58 |\n| tennis ticket | $91 |" } ] }, { "id": "30193", "image": "30193.png", "conversations": [ { "from": "human", "question": "Reagan has $44.50. Does she have enough to buy a comedy show ticket and a symphony ticket?\n" }, { "from": "gpt", "solution": "Add the price of a comedy show ticket and the price of a symphony ticket:\n\n$21.57 + $25.06 = $46.63\n\n$46.63 is more than $44.50. Reagan does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| comedy show ticket | $21.57 |\n| symphony ticket | $25.06 |\n| basketball ticket | $40.83 |\n| play ticket | $36.94 |\n| football ticket | $88.05 |" } ] }, { "id": "30194", "image": "30194.png", "conversations": [ { "from": "human", "question": "A reporter counted the number of masks local artists made for this year's masquerade ball. How many artists made more than 3 masks?\n" }, { "from": "gpt", "solution": "Find the rows for 4 and 5 masks. Add the frequencies for these rows.\n\nAdd:\n\n2 + 1 = 3\n\n3 artists made more than 3 masks.", "answer": "3", "table": "**Making paper masks**\n\n| Masks made | Frequency |\n| --- | --- |\n| 1 | 6 |\n| 2 | 5 |\n| 3 | 9 |\n| 4 | 2 |\n| 5 | 1 |" } ] }, { "id": "30196", "image": "30196.png", "conversations": [ { "from": "human", "question": "How much more does a box of envelopes cost than a rubber stamp?\n" }, { "from": "gpt", "solution": "Subtract the price of a rubber stamp from the price of a box of envelopes.\n\n$2.90 - $2.23 = $0.67\n\nA box of envelopes costs $0.67 more than a rubber stamp.", "answer": "0.67", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| box of envelopes | $2.90 |\n| rubber stamp | $2.23 |\n| dry erase marker | $2.66 |\n| ink pad | $2.53 |" } ] }, { "id": "30199", "image": "30199.png", "conversations": [ { "from": "human", "question": "A health instructor surveyed all her students, and tallied the results. The first survey question asked, \"Do you adhere to a vegetarian diet or omnivorous diet?\" The second question asked, \"If you were to buy a pet today, which animal would it be?\" What is the probability that a randomly selected student adheres to a vegetarian diet and would buy a cat? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the student adheres to a vegetarian diet\" and B be the event \"the student would buy a cat\".\nTo find the probability that a student adheres to a vegetarian diet and would buy a cat, first identify the sample space and the event.\nThe outcomes in the sample space are the different students. Each student is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the student adheres to a vegetarian diet and would buy a cat\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the student adheres to a vegetarian diet and would buy a cat\", so look at the table to see how many students adhere to a vegetarian diet and would buy a cat.\nThe number of students who adhere to a vegetarian diet and would buy a cat is 6.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of students.\n3 + 5 + 6 + 6 = 20\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{6}{20}\n = \\frac{3}{10}\nThe probability that a student adheres to a vegetarian diet and would buy a cat is \\frac{3}{10}.", "answer": "3/10", "table": "| | Dog | Cat |\n| --- | --- | --- |\n| A vegetarian diet | 3 | 6 |\n| An omnivorous diet | 5 | 6 |" } ] }, { "id": "30207", "image": "30207.png", "conversations": [ { "from": "human", "question": "Roger has $1,485. How much money will Roger have left if he buys a washing machine and a dishwasher?\n" }, { "from": "gpt", "solution": "Find the total cost of a washing machine and a dishwasher.\n\n$171 + $401 = $572\n\nNow subtract the total cost from the starting amount.\n\n$1,485 - $572 = $913\n\nRoger will have $913 left.", "answer": "913", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| dishwasher | $401 |\n| barbecue grill | $512 |\n| stove | $591 |\n| washing machine | $171 |" } ] }, { "id": "30214", "image": "30214.png", "conversations": [ { "from": "human", "question": "Chad has $0.10. Does he have enough to buy a piece of polka-dotted paper and a white note card?\n" }, { "from": "gpt", "solution": "Add the price of a piece of polka-dotted paper and the price of a white note card:\n\n$0.07 + $0.04 = $0.11\n\n$0.11 is more than $0.10. Chad does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| piece of pink paper | $0.02 |\n| white note card | $0.04 |\n| orange envelope | $0.03 |\n| sheet of bright yellow paper | $0.02 |\n| pale purple note card | $0.09 |\n| piece of polka-dotted paper | $0.07 |" } ] }, { "id": "30229", "image": "30229.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{13 - 5}{7 - 6}\n = \\frac{8}{1}\n = 8\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{20 - 5}{8 - 6}\n = \\frac{15}{2}\n = 7\\frac{1}{2}\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 6 | 5 |\n| 7 | 13 |\n| 8 | 20 |" } ] }, { "id": "30239", "image": "30239.png", "conversations": [ { "from": "human", "question": "How much money does Janet need to buy a full-page newspaper ad, a billboard ad, and a radio ad?\n" }, { "from": "gpt", "solution": "Find the total cost of a full-page newspaper ad, a billboard ad, and a radio ad.\n\n$4,324 + $7,913 + $1,242 = $13,479\n\nJanet needs $13,479.", "answer": "13,479", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| online ad | $2,699 |\n| full-page newspaper ad | $4,324 |\n| TV ad | $9,394 |\n| radio ad | $1,242 |\n| billboard ad | $7,913 |" } ] }, { "id": "30245", "image": "30245.png", "conversations": [ { "from": "human", "question": "Joey has $1,607.00. Does he have enough to buy a ticket for a Caribbean cruise and a ticket for a Mediterranean cruise?\n" }, { "from": "gpt", "solution": "Add the price of a ticket for a Caribbean cruise and the price of a ticket for a Mediterranean cruise:\n\n$828.00 + $703.00 = $1,531.00\n\n$1,531.00 is less than $1,607.00. Joey does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| ticket for a Caribbean cruise | $828.00 |\n| ticket for a Mediterranean cruise | $703.00 |\n| ticket for an Atlantic cruise | $601.00 |\n| ticket for an Australian cruise | $926.00 |" } ] }, { "id": "30248", "image": "30248.png", "conversations": [ { "from": "human", "question": "A transportation analyst compared various bridges' tolls. On the George Washington bridge, how much more is the toll for a car than for a carpool?\n" }, { "from": "gpt", "solution": "Find the George Washington row. Find the numbers in this row for car and carpool.\n\ncar: $8.00\ncarpool: $2.00\n\nNow subtract:\n\n$8.00 − $2.00 = $6.00\n\nOn the George Washington bridge, the toll for a car is $6 higher than the toll for a carpool.", "answer": "6", "table": "**Bridge tolls**\n\n| Bridge | Car | Carpool |\n| --- | --- | --- |\n| George Washington | $8 | $2 |\n| Fort Madison | $1 | $1 |\n| Tacoma Narrows | $3 | $3 |" } ] }, { "id": "30253", "image": "30253.png", "conversations": [ { "from": "human", "question": "At a hot air balloon festival, Harold made note of how many passengers were in each balloon and the color of each balloon. What is the probability that a randomly selected hot air balloon is blue and contains 1 passenger? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the hot air balloon is blue\" and B be the event \"the hot air balloon contains 1 passenger\".\nTo find the probability that a hot air balloon is blue and contains 1 passenger, first identify the sample space and the event.\nThe outcomes in the sample space are the different hot air balloons. Each hot air balloon is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the hot air balloon is blue and contains 1 passenger\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the hot air balloon is blue and contains 1 passenger\", so look at the table to see how many hot air balloons are blue and contain 1 passenger.\nThe number of hot air balloons that are blue and contain 1 passenger is 6.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of hot air balloons.\n6 + 3 + 4 + 5 = 18\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{6}{18}\n = \\frac{1}{3}\nThe probability that a hot air balloon is blue and contains 1 passenger is \\frac{1}{3}.", "answer": "1/3", "table": "| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| | 1 passenger | 2 passengers |\n| Blue | 6 | 4 |\n| Yellow | 3 | 5 |" } ] }, { "id": "30254", "image": "30254.png", "conversations": [ { "from": "human", "question": "The parks department compared how many soccer fields there are at each park. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n5, 2, 2, 6, 2, 8, 1\n\nFirst, find the greatest number. The greatest number is 8.\n\nNext, find the least number. The least number is 1.\n\nSubtract the least number from the greatest number:\n\n8 − 1 = 7\n\nThe range is 7.", "answer": "7", "table": "**Soccer fields**\n\n| Park | Number of soccer fields |\n| --- | --- |\n| Madison Park | 5 |\n| Canyon Park | 2 |\n| Crane Park | 2 |\n| Moon Park | 6 |\n| Middle Park | 2 |\n| Windy Hill Park | 8 |\n| Lighthouse Park | 1 |" } ] }, { "id": "30256", "image": "30256.png", "conversations": [ { "from": "human", "question": "Each plant has 10 peppers. How many peppers are on 4 plants?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 40 peppers on 4 plants.", "answer": "40", "table": "| Number of plants | Number of peppers |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | ? |" } ] }, { "id": "30257", "image": "30257.png", "conversations": [ { "from": "human", "question": "At Bluepoint Consulting, the head of human resources examined how the number of employees with health care benefits varied in response to policy changes. According to the table, what was the rate of change between 2009 and 2010?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{13 employees - 36 employees}{2010 - 2009}\n = \\frac{13 employees - 36 employees}{1 year}\n = \\frac{-23 employees}{1 year}\n = -23 employees per year\nThe rate of change between 2009 and 2010 was - 23 employees per year.", "answer": "-23", "table": "**Employees with health care benefits**\n\n| Year | Employees |\n| --- | --- |\n| 2009 | 36 |\n| 2010 | 13 |\n| 2011 | 23 |\n| 2012 | 36 |\n| 2013 | 8 |" } ] }, { "id": "30261", "image": "30261.png", "conversations": [ { "from": "human", "question": "A researcher working for a cereal company surveyed people about their cereal consumption habits. How many people ate cereal at least 3 times?\n" }, { "from": "gpt", "solution": "Find the rows for 3 and 4 times. Add the frequencies for these rows.\n\nAdd:\n\n20 + 17 = 37\n\n37 people ate cereal at least 3 times.", "answer": "37", "table": "**Eating cereal last week**\n\n| Times eaten | Frequency |\n| --- | --- |\n| 0 | 15 |\n| 1 | 7 |\n| 2 | 18 |\n| 3 | 20 |\n| 4 | 17 |" } ] }, { "id": "30262", "image": "30262.png", "conversations": [ { "from": "human", "question": "Use the data to answer the question below. Is the following statement about our solar system true or false? Earth's volume is more than ten times as great as Mars's volume.\n" }, { "from": "gpt", "solution": "To determine if this statement is true, calculate the value of ten times the volume of Mars.\n\n1.63 x10^11 · 10^1\n = 1.63 x10^12 km^3\n\nThen compare the result to the volume of Earth. The volume of Earth is 1.08 x10^12 km^3, which is less than 1.63 x10^12 km^3. So, Earth's volume is less than ten times as great as Mars's volume.", "answer": "false", "table": "**Planet Volume (km3) Primary composition**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Mercury | 6.08 x | 1010 rock |\n| Venus | 9.28 x | 1011 rock |\n| Earth | 1.08 x | 1012 rock |\n| Mars | 1.63 x | 1011 rock |\n| Jupiter | 1.43 x | 1015 gas |\n| Saturn | 8.27 x | 1014 gas |\n| Uranus | 6.83 x | 1013 ice |\n| Neptune | 6.25 x | 1013 ice |" } ] }, { "id": "30263", "image": "30263.png", "conversations": [ { "from": "human", "question": "How much more does a measuring tape cost than a wrench?\n" }, { "from": "gpt", "solution": "Subtract the price of a wrench from the price of a measuring tape.\n\n$9 - $3 = $6\n\nA measuring tape costs $6 more than a wrench.", "answer": "6", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| broom | $3 |\n| padlock | $4 |\n| mop | $7 |\n| measuring tape | $9 |\n| wrench | $3 |\n| watering can | $7 |" } ] }, { "id": "30265", "image": "30265.png", "conversations": [ { "from": "human", "question": "How much money does Mark need to buy an ice cream sundae, a slice of peach pie, and a muffin?\n" }, { "from": "gpt", "solution": "Find the total cost of an ice cream sundae, a slice of peach pie, and a muffin.\n\n$1.14 + $2.06 + $1.91 = $5.11\n\nMark needs $5.11.", "answer": "5.11", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| cupcake | $1.31 |\n| slice of peach pie | $2.06 |\n| muffin | $1.91 |\n| ice cream sundae | $1.14 |\n| brownie | $1.50 |\n| ice cream cone | $2.18 |" } ] }, { "id": "30268", "image": "30268.png", "conversations": [ { "from": "human", "question": "For a social studies project, Irma counted the number of classrooms in each school in the city. How many schools have exactly 44 classrooms?\n" }, { "from": "gpt", "solution": "For the number 44, the stem is 4, and the leaf is 4. Find the row where the stem is 4. In that row, count all the leaves equal to 4.\n\nYou counted 0 leaves. 0 schools have exactly 44 classrooms.", "answer": "0", "table": "**Classrooms per school**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 0, 3, 5, 5, 7, 9 |\n| 5 | 6, 7 |\n| 6 | 3, 8 |\n| 7 | 0, 2, 4, 8, 9 |" } ] }, { "id": "30274", "image": "30274.png", "conversations": [ { "from": "human", "question": "The employees at Braden's Construction monitored the number of cracked window panes in each shipment they received. What is the largest number of cracked window panes?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 6.\n\nNow find the highest leaf in the last row. The highest leaf is 5.\n\nThe largest number of cracked window panes has a stem of 6 and a leaf of 5. Write the stem first, then the leaf: 65.\n\nThe largest number of cracked window panes is 65 cracked window panes.", "answer": "65", "table": "**Cracked window panes per shipment**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 2, 3 |\n| 2 | 2, 3, 4 |\n| 3 | 1, 2, 2, 4, 5, 6, 7 |\n| 4 | 4, 6, 7 |\n| 5 | 6, 8, 8 |\n| 6 | 0, 1, 5 |" } ] }, { "id": "30280", "image": "30280.png", "conversations": [ { "from": "human", "question": "Ernesto has $1,895. How much money will Ernesto have left if he buys a CD signed by a famous band and a jersey signed by a famous basketball player?\n" }, { "from": "gpt", "solution": "Find the total cost of a CD signed by a famous band and a jersey signed by a famous basketball player.\n\n$202 + $795 = $997\n\nNow subtract the total cost from the starting amount.\n\n$1,895 - $997 = $898\n\nErnesto will have $898 left.", "answer": "898", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| skate signed by a famous figure skater | $104 |\n| program signed by a famous dancer | $959 |\n| CD signed by a famous band | $202 |\n| jersey signed by a famous basketball player | $795 |\n| shirt signed by a famous soccer player | $257 |\n| book signed by a famous author | $197 |" } ] }, { "id": "30281", "image": "30281.png", "conversations": [ { "from": "human", "question": "In science class, Sadie is measuring the temperature of different chemical mixtures. The temperatures of two mixtures are shown in the table. Which mixture's temperature is closest to zero?\n" }, { "from": "gpt", "solution": "A positive number means the temperature is above zero. A negative number means the temperature is below zero.\nTo find the temperature closest to zero, use absolute value. The absolute value of a temperature tells you how far it is from zero.\nBromine mixture: |-4| = 4\nAcetone mixture: |5| = 5\nThe temperature of the bromine mixture is closest to zero. It is only 4 degrees below zero.", "answer": "bromine mixture", "table": "| Mixture | Temperature (°C) |\n| --- | --- |\n| Bromine mixture | -4 |\n| Acetone mixture | 5 |" } ] }, { "id": "30284", "image": "30284.png", "conversations": [ { "from": "human", "question": "Several children compared how many thank-you notes they had written during the previous month. How many children wrote exactly 2 thank-you notes?\n" }, { "from": "gpt", "solution": "Find the row for 2 thank-you notes and read the frequency. The frequency is 2.\n\n2 children wrote exactly2 thank-you notes.", "answer": "2", "table": "**Writing thank-you notes**\n\n| Thank-you notes written | Frequency |\n| --- | --- |\n| 0 | 0 |\n| 1 | 19 |\n| 2 | 2 |\n| 3 | 10 |\n| 4 | 11 |\n| 5 | 8 |\n| 6 | 5 |" } ] }, { "id": "30292", "image": "30292.png", "conversations": [ { "from": "human", "question": "Look at this table. Is this relation a function?\n" }, { "from": "gpt", "solution": "Look at the x-values in the table.\n\nThe x-value 17 is paired with multiple y-values, so the relation is not a function.", "answer": "no", "table": "| x | y |\n| --- | --- |\n| 17 | 16 |\n| 16 | 2 |\n| 17 | 12 |" } ] }, { "id": "30294", "image": "30294.png", "conversations": [ { "from": "human", "question": "A math textbook explains probability by showing a set of cards numbered 4 through 9 and showing the number of people who might draw each card. Which number was drawn the most times?\n" }, { "from": "gpt", "solution": "Look at the frequency column. Find the greatest frequency. The greatest frequency is 18, which is in the row for 8. 8 was drawn the most times.", "answer": "8", "table": "**Drawing a card between 4 and 9**\n\n| Number drawn | Frequency |\n| --- | --- |\n| 4 | 14 |\n| 5 | 11 |\n| 6 | 3 |\n| 7 | 9 |\n| 8 | 18 |\n| 9 | 16 |" } ] }, { "id": "30296", "image": "30296.png", "conversations": [ { "from": "human", "question": "Leo's campground is close to two hiking trails with scenic destinations. One trail ends at an underground lake in the bottom of a small cave. The other trail ends at a mountain peak. The elevation of each destination is shown on the campground map. Which trail's destination is farther from sea level?\n" }, { "from": "gpt", "solution": "The underground lake's elevation is negative, so it is below sea level. The mountain peak's elevation is positive, so it is above sea level.\nTo find the destination farther from sea level, use absolute value. Absolute value tells you how far each destination is from sea level.\nUnderground lake: |-350| = 350\nMountain peak: |325| = 325\nThe underground lake is 350 feet below sea level, and the mountain peak is only 325 feet above sea level. The underground lake is farther from sea level.", "answer": "underground lake", "table": "| Destination | Elevation (ft.) |\n| --- | --- |\n| Underground lake | -350 |\n| Mountain peak | 325 |" } ] }, { "id": "30298", "image": "30298.png", "conversations": [ { "from": "human", "question": "How much money does Wendy need to buy a jar of strawberry jam and a jar of honey?\n" }, { "from": "gpt", "solution": "Add the price of a jar of strawberry jam and the price of a jar of honey:\n\n$2.92 + $3.90 = $6.82\n\nWendy needs $6.82.", "answer": "6.82", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| jar of peanut butter | $3.10 |\n| jar of honey | $3.90 |\n| jar of tomato sauce | $2.77 |\n| jar of strawberry jam | $2.92 |" } ] }, { "id": "30305", "image": "30305.png", "conversations": [ { "from": "human", "question": "Alec counted the total number of shells collected by his friends during a walk on the beach. How many people found fewer than 3 seashells?\n" }, { "from": "gpt", "solution": "Find the rows for 0, 1, and 2 seashells. Add the frequencies for these rows.\n\nAdd:\n\n15 + 11 + 7 = 33\n\n33 people found fewer than 3 seashells.", "answer": "33", "table": "**Finding seashells**\n\n| Seashells found | Frequency |\n| --- | --- |\n| 0 | 15 |\n| 1 | 11 |\n| 2 | 7 |\n| 3 | 14 |\n| 4 | 9 |\n| 5 | 13 |\n| 6 | 18 |" } ] }, { "id": "30307", "image": "30307.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does the swimming competition end?\n" }, { "from": "gpt", "solution": "Find the swimming competition on the schedule. Find the end time for the swimming competition.\n\nswimming competition: 3:15 P. M.", "answer": "3:15 P.M.", "table": "**School picnic schedule**\n\n| Event | Begin | End |\n| --- | --- | --- |\n| lunch | 10:50 A.M. | 11:50 A.M. |\n| obstacle course | 12:10 P.M. | 1:10 P.M. |\n| water balloon toss | 1:00 P.M. | 1:50 P.M. |\n| pie-eating contest | 1:55 P.M. | 2:45 P.M. |\n| swimming competition | 2:30 P.M. | 3:15 P.M. |" } ] }, { "id": "30308", "image": "30308.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{11 - 14}{6 - 5}\n = \\frac{-3}{1}\n = -3\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{10 - 14}{7 - 5}\n = \\frac{-4}{2}\n = -2\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 5 | 14 |\n| 6 | 11 |\n| 7 | 10 |" } ] }, { "id": "30314", "image": "30314.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Jenny got on the train at downtown at 11.00 A.M. What time will she get to the waterfront?\n" }, { "from": "gpt", "solution": "Find 11:00 A. M. in the row for downtown. That column shows the schedule for the train that Jenny is on.\n\nLook down the column until you find the row for the waterfront.\n\nJenny will get to the waterfront at 2:00 P. M.", "answer": "2:00 P.M.", "table": "**Subway train schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 |\n| --- | --- | --- | --- |\n| downtown | 10:15 A.M. | 10:45 A.M. | 11:00 A.M. |\n| civic center | 10:30 A.M. | 11:00 A.M. | 11:15 A.M. |\n| shopping district | 11:15 A.M. | 11:45 A.M. | 12:00 P.M. |\n| university | 12:15 P.M. | 12:45 P.M. | 1:00 P.M. |\n| waterfront | 1:15 P.M. | 1:45 P.M. | 2:00 P.M. |" } ] }, { "id": "30328", "image": "30328.png", "conversations": [ { "from": "human", "question": "At Millersburg Consulting, the head of human resources examined how the number of employees with health care benefits varied in response to policy changes. According to the table, what was the rate of change between 2009 and 2010?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{23 employees - 45 employees}{2010 - 2009}\n = \\frac{23 employees - 45 employees}{1 year}\n = \\frac{-22 employees}{1 year}\n = -22 employees per year\nThe rate of change between 2009 and 2010 was - 22 employees per year.", "answer": "-22", "table": "**Employees with health care benefits**\n\n| Year | Employees |\n| --- | --- |\n| 2006 | 3 |\n| 2007 | 25 |\n| 2008 | 8 |\n| 2009 | 45 |\n| 2010 | 23 |" } ] }, { "id": "30330", "image": "30330.png", "conversations": [ { "from": "human", "question": "A tire factory manager monitored the number of tires made each month. How many tires did the factory make in total in March and April?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nMarch: 2,707\nApril: 2,830\n\nNow add: 2,707 + 2,830 = 5,537.\n\nThe factory made 5,537 tires in March and April.", "answer": "5,537", "table": "**Tires made**\n\n| Month | Number of tires |\n| --- | --- |\n| March | 2,707 |\n| April | 2,830 |\n| May | 2,750 |" } ] }, { "id": "30338", "image": "30338.png", "conversations": [ { "from": "human", "question": "A beauty salon in Richmond has four beauticians and keeps track of how often clients request each one specifically. What fraction of requests were for Perry? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many clients requested Perry.\n\n400\n\nFind how many requests were made in total.\n\n870 + 400 + 310 + 930 = 2,510\n\nDivide 400 by2,510.\n\n\\frac{400}{2,510}\n\nReduce the fraction.\n\n\\frac{400}{2,510} → \\frac{40}{251}\n\n\\frac{40}{251} of clients requested Perry.", "answer": "40/251", "table": "**Beautician requests**\n\n| Beautician | Requests |\n| --- | --- |\n| Nina | 870 |\n| Perry | 400 |\n| Nellie | 310 |\n| Rob | 930 |" } ] }, { "id": "30348", "image": "30348.png", "conversations": [ { "from": "human", "question": "Sally jotted down how many baskets she made during basketball practice each day. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n2, 8, 5, 8, 5, 8\n\nFirst, count how many numbers are in the group.\n\nThere are 6 numbers.\n\nNow add all the numbers together:\n\n2 + 8 + 5 + 8 + 5 + 8 = 36\n\nNow divide the sum by the number of numbers:\n\n36 ÷ 6 = 6\n\nThe mean is 6.", "answer": "6", "table": "**Baskets made**\n\n| Day | Number of baskets |\n| --- | --- |\n| Tuesday | 2 |\n| Wednesday | 8 |\n| Thursday | 5 |\n| Friday | 8 |\n| Saturday | 5 |\n| Sunday | 8 |" } ] }, { "id": "30349", "image": "30349.png", "conversations": [ { "from": "human", "question": "The city library monitored the number of books checked out each day. On which day were the fewest books checked out?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 91.\n\nNow find the corresponding day. Sunday corresponds to 91.", "answer": "Sunday", "table": "**Books checked out**\n\n| Day | Number of books |\n| --- | --- |\n| Sunday | 91 |\n| Monday | 94 |\n| Tuesday | 98 |\n| Wednesday | 95 |" } ] }, { "id": "30351", "image": "30351.png", "conversations": [ { "from": "human", "question": "How much money does Winston need to buy a photograph signed by a famous race car driver and a jersey signed by a famous basketball player?\n" }, { "from": "gpt", "solution": "Add the price of a photograph signed by a famous race car driver and the price of a jersey signed by a famous basketball player:\n\n$2,469.00 + $3,900.00 = $6,369.00\n\nWinston needs $6,369.00.", "answer": "6,369", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| photograph signed by a famous race car driver | $2,469.00 |\n| painting signed by a famous artist | $6,862.00 |\n| jersey signed by a famous basketball player | $3,900.00 |\n| bat signed by a famous baseball player | $2,211.00 |\n| photograph signed by a famous television star | $8,525.00 |" } ] }, { "id": "30358", "image": "30358.png", "conversations": [ { "from": "human", "question": "While doing a project for P. E. class, Mary researched the number of athletes competing in an international sporting event. How many countries have at least 10 athletes but fewer than 60 athletes?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1, 2, 3, 4, and 5.\n\nYou counted 8 leaves, which are blue in the stem-and-leaf plot above. 8 countries have at least 10 athletes but fewer than 60 athletes.", "answer": "8", "table": "**Athletes per country**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 5, 7, 8 |\n| 2 | 6, 7, 7 |\n| 3 | 2 |\n| 4 | |\n| 5 | |\n| 6 | 1, 3, 4, 4, 5, 6, 7 |\n| 7 | 0, 6 |\n| 8 | 2 |" } ] }, { "id": "30366", "image": "30366.png", "conversations": [ { "from": "human", "question": "Worried about going over her storage limit, Erica monitored the number of undeleted voicemail messages stored on her phone each day. According to the table, what was the rate of change between Monday and Tuesday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{13 voicemail messages - 22 voicemail messages}{1 day}\n = \\frac{-9 voicemail messages}{1 day}\n = -9 voicemail messages per day\nThe rate of change between Monday and Tuesday was - 9 voicemail messages per day.", "answer": "-9", "table": "**Voicemail messages on Erica's phone**\n\n| Day | Voicemail messages |\n| --- | --- |\n| Monday | 22 |\n| Tuesday | 13 |\n| Wednesday | 12 |\n| Thursday | 13 |\n| Friday | 12 |" } ] }, { "id": "30387", "image": "30387.png", "conversations": [ { "from": "human", "question": "As part of a stuffed animal drive for the local children's hospital, the students at Browning Elementary School record how many stuffed animals they have collected. How many students are there in all?\n" }, { "from": "gpt", "solution": "Add the frequencies for each row.\n\nAdd:\n\n17 + 0 + 20 + 4 + 3 + 8 = 52\n\nThere are 52 students in all.", "answer": "52", "table": "**Stuffed animals**\n\n| Number of stuffed animals | Frequency |\n| --- | --- |\n| 0 | 17 |\n| 1 | 0 |\n| 2 | 20 |\n| 3 | 4 |\n| 4 | 3 |\n| 5 | 8 |" } ] }, { "id": "30393", "image": "30393.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $735, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $735, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $735 | 19,800 | 6,500 |\n| $835 | 15,400 | 7,700 |\n| $935 | 11,000 | 8,900 |\n| $1,035 | 6,600 | 10,100 |\n| $1,135 | 2,200 | 11,300 |" } ] }, { "id": "30397", "image": "30397.png", "conversations": [ { "from": "human", "question": "Simon, a huge fan, tracked the scores on his favorite radio quiz show. How many people scored 3?\n" }, { "from": "gpt", "solution": "Find the row for 3 and read the frequency. The frequency is 11.\n\n11 people scored 3.", "answer": "11", "table": "**Scores on a radio quiz show**\n\n| Score | Frequency |\n| --- | --- |\n| 0 | 7 |\n| 1 | 16 |\n| 2 | 2 |\n| 3 | 11 |\n| 4 | 9 |\n| 5 | 8 |" } ] }, { "id": "30402", "image": "30402.png", "conversations": [ { "from": "human", "question": "For a class assignment, Joseph wanted to study whether or not the color of a person's car correlates with the color of his or her hair. He spent an hour at a stoplight recording the color of each car that passed and the hair color of its driver. What is the probability that a randomly selected driver has a red car and has blonde hair? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the driver has a red car\" and B be the event \"the driver has blonde hair\".\nTo find the probability that a driver has a red car and has blonde hair, first identify the sample space and the event.\nThe outcomes in the sample space are the different drivers. Each driver is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the driver has a red car and has blonde hair\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the driver has a red car and has blonde hair\", so look at the table to see how many drivers have a red car and have blonde hair.\nThe number of drivers who have a red car and have blonde hair is 5.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of drivers.\n4 + 6 + 5 + 3 = 18\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{5}{18}\nThe probability that a driver has a red car and has blonde hair is \\frac{5}{18}.", "answer": "5/18", "table": "| | Red hair | Blonde hair |\n| --- | --- | --- |\n| Red car | 4 | 5 |\n| Blue car | 6 | 3 |" } ] }, { "id": "30409", "image": "30409.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Charlotte just missed the 11.30 A.M. bus at the shopping mall. How long does she have to wait until the next bus?\n" }, { "from": "gpt", "solution": "Find 11:30 A. M. in the row for the shopping mall.\n\nLook for the next bus in that row.\n\nThe next bus is at 12:00 P. M.\n\nFind the elapsed time. The elapsed time is 30 minutes.", "answer": "30 minutes", "table": "**Hotel shuttle bus schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 | Column 5 | Column 6 |\n| --- | --- | --- | --- | --- | --- |\n| amusement park | 7:30 A.M. | 8:00 A.M. | 8:30 A.M. | 9:45 A.M. | 10:15 A.M. |\n| airport | 8:30 A.M. | 9:00 A.M. | 9:30 A.M. | 10:45 A.M. | 11:15 A.M. |\n| shopping mall | 9:15 A.M. | 9:45 A.M. | 10:15 A.M. | 11:30 A.M. | 12:00 P.M. |\n| park | 9:45 A.M. | 10:15 A.M. | 10:45 A.M. | 12:00 P.M. | 12:30 P.M. |\n| Main Street | 10:45 A.M. | 11:15 A.M. | 11:45 A.M. | 1:00 P.M. | 1:30 P.M. |\n| train station | 11:45 A.M. | 12:15 P.M. | 12:45 P.M. | 2:00 P.M. | 2:30 P.M. |\n| art museum | 12:30 P.M. | 1:00 P.M. | 1:30 P.M. | 2:45 P.M. | 3:15 P.M. |\n| bus station | 1:00 P.M. | 1:30 P.M. | 2:00 P.M. | 3:15 P.M. | 3:45 P.M. |" } ] }, { "id": "30410", "image": "30410.png", "conversations": [ { "from": "human", "question": "Worried about going over his storage limit, Todd monitored the number of undeleted voicemail messages stored on his phone each day. According to the table, what was the rate of change between Monday and Tuesday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{18 voicemail messages - 25 voicemail messages}{1 day}\n = \\frac{-7 voicemail messages}{1 day}\n = -7 voicemail messages per day\nThe rate of change between Monday and Tuesday was - 7 voicemail messages per day.", "answer": "-7", "table": "**Voicemail messages on Todd's phone**\n\n| Day | Voicemail messages |\n| --- | --- |\n| Sunday | 21 |\n| Monday | 25 |\n| Tuesday | 18 |\n| Wednesday | 19 |\n| Thursday | 17 |" } ] }, { "id": "30412", "image": "30412.png", "conversations": [ { "from": "human", "question": "Marcy's classmates revealed how many science articles they read. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n2, 4, 2, 4, 9, 9, 4, 4\n\nFirst, arrange the numbers from least to greatest:\n\n2, 2, 4, 4, 4, 4, 9, 9\n\nNow count how many times each number appears.\n\n2 appears 2 times.\n4 appears 4 times.\n9 appears 2 times.\n\nThe number that appears most often is 4.\n\nThe mode is 4.", "answer": "4", "table": "**Science articles read**\n\n| Name | Number of science articles |\n| --- | --- |\n| Marcy | 2 |\n| Damon | 4 |\n| Amanda | 2 |\n| Tony | 4 |\n| Gavin | 9 |\n| Reid | 9 |\n| Wendy | 4 |\n| Cole | 4 |" } ] }, { "id": "30414", "image": "30414.png", "conversations": [ { "from": "human", "question": "Dr. Thornton, a pediatrician, weighed all the children who recently visited his office. How many children weighed at least 50 pounds but less than 70 pounds?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 5 and 6.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 children weighed at least 50 pounds but less than 70 pounds.", "answer": "3", "table": "**Children's weights (lbs)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 3, 3, 4 |\n| 2 | 6, 7, 8 |\n| 3 | 4, 6 |\n| 4 | 1 |\n| 5 | 2, 6 |\n| 6 | 9 |\n| 7 | 1, 2, 7 |" } ] }, { "id": "30415", "image": "30415.png", "conversations": [ { "from": "human", "question": "While looking through an almanac at the library, Albert noticed some data showing the population density of various states. In 1990, which of the states shown had the fewest people per square mile?\n" }, { "from": "gpt", "solution": "Look at the numbers in the 1990 column. Find the least number in this column.\n\nThe least number is 4, which is in the Wyoming row. In 1990, Wyoming had the fewest people per square mile.", "answer": "Wyoming", "table": "**Population per square mile**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| State | 1990 | 2000 |\n| Montana | 5 | 6 |\n| Nevada | 10 | 18 |\n| South Dakota | 9 | 10 |\n| New Mexico | 12 | 15 |\n| Wyoming | 4 | 5 |" } ] }, { "id": "30418", "image": "30418.png", "conversations": [ { "from": "human", "question": "A furniture store kept a record of how many couches it sold each day. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n8, 6, 16, 9, 10, 11\n\nFirst, count how many numbers are in the group.\n\nThere are 6 numbers.\n\nNow add all the numbers together:\n\n8 + 6 + 16 + 9 + 10 + 11 = 60\n\nNow divide the sum by the number of numbers:\n\n60 ÷ 6 = 10\n\nThe mean is 10.", "answer": "10", "table": "**Couches sold**\n\n| Day | Number of couches |\n| --- | --- |\n| Saturday | 8 |\n| Sunday | 6 |\n| Monday | 16 |\n| Tuesday | 9 |\n| Wednesday | 10 |\n| Thursday | 11 |" } ] }, { "id": "30419", "image": "30419.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{12 - 11}{10 - 9}\n = \\frac{1}{1}\n = 1\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{16 - 12}{11 - 10}\n = \\frac{4}{1}\n = 4\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 9 | 11 |\n| 10 | 12 |\n| 11 | 16 |" } ] }, { "id": "30420", "image": "30420.png", "conversations": [ { "from": "human", "question": "Brian found out the sizes of all the clubs at his school. How many clubs have at least 32 members but fewer than 67 members?\n" }, { "from": "gpt", "solution": "Find the row with stem 3. Count all the leaves greater than or equal to 2.\n\nCount all the leaves in the rows with stems 4 and 5.\n\nIn the row with stem 6, count all the leaves less than 7.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plots above. 4 clubs have at least 32 members but fewer than 67 members.", "answer": "4", "table": "**Club sizes (number of members)**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 7 |\n| 4 | 2, 9 |\n| 5 | |\n| 6 | 6 |\n| 7 | 9 |\n| 8 | 0, 7, 9 |\n| 9 | 0 |" } ] }, { "id": "30432", "image": "30432.png", "conversations": [ { "from": "human", "question": "Lola counted the number of peanuts in each bag of trail mix. How many bags had exactly 72 peanuts?\n" }, { "from": "gpt", "solution": "For the number 72, the stem is 7, and the leaf is 2. Find the row where the stem is 7. In that row, count all the leaves equal to 2.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 bags had exactly 72 peanuts.", "answer": "4", "table": "**Peanuts per bag of trail mix**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 6 |\n| 5 | 3 |\n| 6 | 3, 9 |\n| 7 | 0, 2, 2, 2, 2, 7, 8 |\n| 8 | 5, 9 |" } ] }, { "id": "30440", "image": "30440.png", "conversations": [ { "from": "human", "question": "Every summer, Tristan goes on a week-long canoe trip with his childhood camp friends. After the trip, he usually purchases some oars from the destination city. His collection of oars is organized by year and type of wood. What is the probability that a randomly selected oar was purchased in 2010 and was made from ash wood? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the oar was purchased in 2010\" and B be the event \"the oar was made from ash wood\".\nTo find the probability that a oar was purchased in 2010 and was made from ash wood, first identify the sample space and the event.\nThe outcomes in the sample space are the different oars. Each oar is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the oar was purchased in 2010 and was made from ash wood\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the oar was purchased in 2010 and was made from ash wood\", so look at the table to see how many oars were purchased in 2010 and were made from ash wood.\nThe number of oars that were purchased in 2010 and were made from ash wood is 4.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of oars.\n4 + 3 + 4 + 4 = 15\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{4}{15}\nThe probability that a oar was purchased in 2010 and was made from ash wood is \\frac{4}{15}.", "answer": "4/15", "table": "| | Spruce wood | Ash wood |\n| --- | --- | --- |\n| 2010 | 4 | 4 |\n| 2011 | 3 | 4 |" } ] }, { "id": "30444", "image": "30444.png", "conversations": [ { "from": "human", "question": "Maggie tracked the maximum daily wind speed for 5 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 7, 10, 5, 10\n\nFirst, find the greatest number. The greatest number is 10.\n\nNext, find the least number. The least number is 5.\n\nSubtract the least number from the greatest number:\n\n10 − 5 = 5\n\nThe range is 5.", "answer": "5", "table": "**Daily wind speed**\n\n| Day | Wind speed (miles per hour) |\n| --- | --- |\n| Sunday | 7 |\n| Monday | 7 |\n| Tuesday | 10 |\n| Wednesday | 5 |\n| Thursday | 10 |" } ] }, { "id": "30447", "image": "30447.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{7 - 1}{13 - 12}\n = \\frac{6}{1}\n = 6\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{9 - 7}{14 - 13}\n = \\frac{2}{1}\n = 2\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 12 | 1 |\n| 13 | 7 |\n| 14 | 9 |" } ] }, { "id": "30461", "image": "30461.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $945, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $945, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $755 | 15,000 | 3,600 |\n| $945 | 12,800 | 7,800 |\n| $1,135 | 10,600 | 12,000 |\n| $1,325 | 8,400 | 16,200 |\n| $1,515 | 6,200 | 20,400 |" } ] }, { "id": "30466", "image": "30466.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $425, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $425, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $125 | 15,700 | 1,600 |\n| $275 | 13,500 | 4,500 |\n| $425 | 11,300 | 7,400 |\n| $575 | 9,100 | 10,300 |\n| $725 | 6,900 | 13,200 |" } ] }, { "id": "30467", "image": "30467.png", "conversations": [ { "from": "human", "question": "Four of the sports teams from Rockport High School decided to raise funds to buy new sports equipment. What fraction of the funds were raised by the track team? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how much money was raised by the track.\n\n980\n\nFind how much money were raised in total.\n\n690 + 980 + 690 + 990 = 3,350\n\nDivide 980 by 3,350.\n\n\\frac{980}{3,350}\n\nReduce the fraction.\n\n\\frac{980}{3,350} → \\frac{98}{335}\n\n\\frac{98}{335} of Find how much money was raised by the track.", "answer": "98/335", "table": "**Sports equipment fundraising**\n\n| Team | Funds raised ($) |\n| --- | --- |\n| Basketball | 690 |\n| Track | 980 |\n| Football | 690 |\n| Baseball | 990 |" } ] }, { "id": "30472", "image": "30472.png", "conversations": [ { "from": "human", "question": "Brenna baked cookies each day for a bake sale. How many cookies in total did Brenna bake on Thursday and Friday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nThursday: 101\nFriday: 140\n\nNow add: 101 + 140 = 241.\n\nBrenna baked 241 cookies on Thursday and Friday.", "answer": "241", "table": "**Cookies baked**\n\n| Day | Number of cookies |\n| --- | --- |\n| Wednesday | 147 |\n| Thursday | 101 |\n| Friday | 140 |" } ] }, { "id": "30474", "image": "30474.png", "conversations": [ { "from": "human", "question": "Darren counted the number of pieces of pepperoni on each pizza he made. How many pizzas had exactly 14 pieces of pepperoni?\n" }, { "from": "gpt", "solution": "For the number 14, the stem is 1, and the leaf is 4. Find the row where the stem is 1. In that row, count all the leaves equal to 4.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 pizzas had exactly14 pieces of pepperoni.", "answer": "2", "table": "**Pieces of pepperoni per pizza**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 4, 4 |\n| 2 | 0, 3, 5 |\n| 3 | 7 |\n| 4 | 0 |" } ] }, { "id": "30477", "image": "30477.png", "conversations": [ { "from": "human", "question": "Keenan has $1,482.00. Does he have enough to buy a motorcycle and a sailboat?\n" }, { "from": "gpt", "solution": "Add the price of a motorcycle and the price of a sailboat:\n\n$932.00 + $528.00 = $1,460.00\n\n$1,460.00 is less than $1,482.00. Keenan does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| sailboat | $528.00 |\n| motorcycle | $932.00 |\n| canoe | $774.00 |\n| snowmobile | $664.00 |\n| kayak | $308.00 |" } ] }, { "id": "30486", "image": "30486.png", "conversations": [ { "from": "human", "question": "Jackson, a fitness counselor, counted the number of pull-ups completed by each bootcamp participant. How many participants did more than 1 pull-up?\n" }, { "from": "gpt", "solution": "Find the rows for 2, 3, 4, and 5 pull-ups. Add the frequencies for these rows.\n\nAdd:\n\n4 + 0 + 19 + 12 = 35\n\n35 participants did more than 1 pull-up.", "answer": "35", "table": "**Doing pull-ups**\n\n| Number of pull-ups | Frequency |\n| --- | --- |\n| 0 | 17 |\n| 1 | 15 |\n| 2 | 4 |\n| 3 | 0 |\n| 4 | 19 |\n| 5 | 12 |" } ] }, { "id": "30491", "image": "30491.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which event ends at 4.50 P.M.?\n" }, { "from": "gpt", "solution": "Find 4:50 P. M. on the schedule. The student government meeting ends at 4:50 P. M.", "answer": "student government meeting", "table": "**High school schedule**\n\n| Event | Begin | End |\n| --- | --- | --- |\n| women's soccer practice | 2:25 P.M. | 3:35 P.M. |\n| student government meeting | 3:10 P.M. | 4:50 P.M. |\n| men's soccer practice | 4:10 P.M. | 5:35 P.M. |\n| water polo practice | 5:20 P.M. | 6:10 P.M. |\n| marching band practice | 6:00 P.M. | 7:30 P.M. |\n| choir concert | 7:15 P.M. | 8:00 P.M. |" } ] }, { "id": "30494", "image": "30494.png", "conversations": [ { "from": "human", "question": "How much more does a package of purple streamers cost than a birthday balloon?\n" }, { "from": "gpt", "solution": "Subtract the price of a birthday balloon from the price of a package of purple streamers.\n\n$2.82 - $1.81 = $1.01\n\nA package of purple streamers costs $1.01 more than a birthday balloon.", "answer": "1.01", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| package of purple streamers | $2.82 |\n| greeting card | $2.29 |\n| whistle | $1.62 |\n| package of confetti | $1.11 |\n| kazoo | $1.02 |\n| birthday balloon | $1.81 |" } ] }, { "id": "30495", "image": "30495.png", "conversations": [ { "from": "human", "question": "How much would it cost to buy 2.3 pounds of Italian dressing?\n" }, { "from": "gpt", "solution": "Find the cost of the Italian dressing. Multiply the price per pound by the number of pounds.\n$3 × 2.3 = $6.90\nIt would cost $6.90.", "answer": "6.90", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| balsamic vinaigrette | $5 per pound |\n| blue cheese dressing | $4 per pound |\n| Italian dressing | $3 per pound |\n| Thousand Island dressing | $4 per pound |\n| raspberry vinaigrette | $3 per pound |\n| ranch dressing | $4 per pound |" } ] }, { "id": "30499", "image": "30499.png", "conversations": [ { "from": "human", "question": "Shivani, a doctor's office receptionist, tracked the average waiting time at the office each month. According to the table, what was the rate of change between April and May?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{43 minutes - 46 minutes}{1 month}\n = \\frac{-3 minutes}{1 month}\n = -3 minutes per month\nThe rate of change between April and May was - 3 minutes per month.", "answer": "-3", "table": "**Average waiting time at a doctor's office**\n\n| Month | Waiting time (minutes) |\n| --- | --- |\n| April | 46 |\n| May | 43 |\n| June | 43 |\n| July | 45 |\n| August | 45 |" } ] }, { "id": "30501", "image": "30501.png", "conversations": [ { "from": "human", "question": "A marketing research firm asked people how many times they visited the mall last month. How many people went to the mall fewer than 3 times?\n" }, { "from": "gpt", "solution": "Find the rows for 0, 1, and 2 times. Add the frequencies for these rows.\n\nAdd:\n\n18 + 2 + 10 = 30\n\n30 people went to the mall fewer than 3 times.", "answer": "30", "table": "**Trips to the mall last month**\n\n| Number of trips | Frequency |\n| --- | --- |\n| 0 | 18 |\n| 1 | 2 |\n| 2 | 10 |\n| 3 | 20 |\n| 4 | 19 |" } ] }, { "id": "30502", "image": "30502.png", "conversations": [ { "from": "human", "question": "Administrators at several colleges compared the number of students enrolled in various classes. Which school has the most students enrolled in journalism?\n" }, { "from": "gpt", "solution": "Look at the numbers in the Journalism column. Find the greatest number in this column.\n\nThe greatest number is 20, which is in the College of the Peninsula row. College of the Peninsula has the most students enrolled in journalism.", "answer": "College of the Peninsula", "table": "**Class enrollment**\n\n| School | Journalism | Biochemistry |\n| --- | --- | --- |\n| New Hope College | 15 | 13 |\n| Robert Updike University | 14 | 5 |\n| College of the Peninsula | 20 | 17 |\n| Mariana University | 5 | 19 |" } ] }, { "id": "30512", "image": "30512.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Sidney got on the train at Arcadia at 6.15 A.M. What time will she get to Burlington?\n" }, { "from": "gpt", "solution": "Find 6:15 A. M. in the row for Arcadia. That column shows the schedule for the train that Sidney is on.\n\nLook down the column until you find the row for Burlington.\n\nSidney will get to Burlington at 7:30 A. M.", "answer": "7:30 A.M.", "table": "**Train schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 |\n| --- | --- | --- | --- |\n| Brookfield | 4:30 A.M. | 10:00 A.M. | 3:45 P.M. |\n| Washington | 5:30 A.M. | 1:15 P.M. | 4:45 P.M. |\n| Arcadia | 6:15 A.M. | 11:30 A.M. | 5:30 P.M. |\n| Burlington | 7:30 A.M. | 12:45 P.M. | 1:45 P.M. |\n| Oak Grove | 9:00 A.M. | 2:15 P.M. | 3:15 P.M. |" } ] }, { "id": "30518", "image": "30518.png", "conversations": [ { "from": "human", "question": "The parks department compared how many soccer fields there are at each park. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 6, 10, 6, 7, 6, 7, 8\n\nFirst, count how many numbers are in the group.\n\nThere are 8 numbers.\n\nNow add all the numbers together:\n\n6 + 6 + 10 + 6 + 7 + 6 + 7 + 8 = 56\n\nNow divide the sum by the number of numbers:\n\n56 ÷ 8 = 7\n\nThe mean is 7.", "answer": "7", "table": "**Soccer fields**\n\n| Park | Number of soccer fields |\n| --- | --- |\n| Middle Park | 6 |\n| Moon Park | 6 |\n| Windy Hill Park | 10 |\n| Juniper Park | 6 |\n| Lighthouse Park | 7 |\n| Madison Park | 6 |\n| Elmhurst Park | 7 |\n| Crane Park | 8 |" } ] }, { "id": "30522", "image": "30522.png", "conversations": [ { "from": "human", "question": "A researcher recorded the number of cows on each farm in the county. How many farms have fewer than 60 cows?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1, 2, 3, 4, and 5.\n\nYou counted 20 leaves, which are blue in the stem-and-leaf plot above. 20 farms have fewer than 60 cows.", "answer": "20", "table": "**Cows per farm**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1, 4, 7 |\n| 2 | 1, 4, 9 |\n| 3 | 3, 3, 4, 4, 5, 6, 8, 8, 9 |\n| 4 | 1, 2, 5 |\n| 5 | 0, 0 |" } ] }, { "id": "30524", "image": "30524.png", "conversations": [ { "from": "human", "question": "Patty wrote down how many cups of lemonade she sold in the past 6 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n8, 9, 0, 1, 9, 8\n\nFirst, find the greatest number. The greatest number is 9.\n\nNext, find the least number. The least number is 0.\n\nSubtract the least number from the greatest number:\n\n9 − 0 = 9\n\nThe range is 9.", "answer": "9", "table": "**Cups of lemonade sold**\n\n| Day | Number of cups |\n| --- | --- |\n| Tuesday | 8 |\n| Wednesday | 9 |\n| Thursday | 0 |\n| Friday | 1 |\n| Saturday | 9 |\n| Sunday | 8 |" } ] }, { "id": "30528", "image": "30528.png", "conversations": [ { "from": "human", "question": "Helen has $1.10. How much money will Helen have left if she buys a long white envelope and a flag stamp?\n" }, { "from": "gpt", "solution": "Find the total cost of a long white envelope and a flag stamp.\n\n$0.22 + $0.11 = $0.33\n\nNow subtract the total cost from the starting amount.\n\n$1.10 - $0.33 = $0.77\n\nHelen will have $0.77 left.", "answer": "0.77", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| large yellow envelope | $0.57 |\n| long white envelope | $0.22 |\n| bird postcard | $0.33 |\n| flag stamp | $0.11 |\n| lighthouse postcard | $0.69 |" } ] }, { "id": "30529", "image": "30529.png", "conversations": [ { "from": "human", "question": "Dave has two dogs, Sprinkles and Champ. He is concerned because Sprinkles keeps eating Champ's food. Dave asks their vet how much each dog's weight has changed since their last visit. Which dog's weight has changed the most?\n" }, { "from": "gpt", "solution": "To find which dog's weight changed the most, use absolute value. Absolute value tells you how much each dog's weight has changed.\nSprinkles: |5| = 5\nChamp: |-6| = 6\nChamp's weight has changed the most. He has lost 6 ounces.", "answer": "Champ", "table": "| Dog | Weight change (oz.) |\n| --- | --- |\n| Sprinkles | 5 |\n| Champ | -6 |" } ] }, { "id": "30533", "image": "30533.png", "conversations": [ { "from": "human", "question": "Aaron has $82.00. Does he have enough to buy a picnic table and a red clay pot?\n" }, { "from": "gpt", "solution": "Add the price of a picnic table and the price of a red clay pot:\n\n$59.00 + $19.00 = $78.00\n\n$78.00 is less than $82.00. Aaron does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| hammock | $44.00 |\n| iron bench | $32.00 |\n| picnic table | $59.00 |\n| beach umbrella | $74.00 |\n| red clay pot | $19.00 |\n| lawn mower | $91.00 |" } ] }, { "id": "30537", "image": "30537.png", "conversations": [ { "from": "human", "question": "An author kept a log of how many pages he wrote in the past 4 days. On which day did the author write the least?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 22.\n\nNow find the corresponding day. Wednesday corresponds to 22.", "answer": "Wednesday", "table": "**Pages written**\n\n| Day | Number of pages |\n| --- | --- |\n| Tuesday | 24 |\n| Wednesday | 22 |\n| Thursday | 26 |\n| Friday | 29 |" } ] }, { "id": "30539", "image": "30539.png", "conversations": [ { "from": "human", "question": "A school administrator who was concerned about grade inflation looked over the number of straight-A students from year to year. According to the table, what was the rate of change between 2019 and 2020?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{13 students - 10 students}{2020 - 2019}\n = \\frac{13 students - 10 students}{1 year}\n = \\frac{3 students}{1 year}\n = 3 students per year\nThe rate of change between 2019 and 2020 was 3 students per year.", "answer": "3", "table": "**Straight-A students**\n\n| Year | Students |\n| --- | --- |\n| 2017 | 13 |\n| 2018 | 5 |\n| 2019 | 10 |\n| 2020 | 13 |\n| 2021 | 21 |" } ] }, { "id": "30542", "image": "30542.png", "conversations": [ { "from": "human", "question": "Professor Mendoza informed his students of their scores on the midterm exam. How many students scored at least 41 points?\n" }, { "from": "gpt", "solution": "Find the row with stem 4. Count all the leaves greater than or equal to 1.\n\nCount all the leaves in the row with stem 5.\n\nYou counted 11 leaves, which are blue in the stem-and-leaf plots above. 11 students scored at least 41 points.", "answer": "11", "table": "**Midterm exam scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 3, 6, 8 |\n| 2 | 3, 4, 4, 7, 9 |\n| 3 | 0, 3, 8 |\n| 4 | 3, 3, 4, 9 |\n| 5 | 0, 1, 1, 1, 7, 8, 9 |" } ] }, { "id": "30557", "image": "30557.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $1,130, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $1,130, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $370 | 16,200 | 1,100 |\n| $560 | 13,100 | 1,600 |\n| $750 | 10,000 | 2,100 |\n| $940 | 6,900 | 2,600 |\n| $1,130 | 3,800 | 3,100 |" } ] }, { "id": "30568", "image": "30568.png", "conversations": [ { "from": "human", "question": "Vince kept track of how many kilometers he walked during the past 7 days. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n3, 10, 2, 3, 10, 2, 2\n\nFirst, arrange the numbers from least to greatest:\n\n2, 2, 2, 3, 3, 10, 10\n\nNow count how many times each number appears.\n\n2 appears 3 times.\n3 appears 2 times.\n10 appears 2 times.\n\nThe number that appears most often is 2.\n\nThe mode is 2.", "answer": "2", "table": "**Kilometers walked**\n\n| Day | Kilometers |\n| --- | --- |\n| Wednesday | 3 |\n| Thursday | 10 |\n| Friday | 2 |\n| Saturday | 3 |\n| Sunday | 10 |\n| Monday | 2 |\n| Tuesday | 2 |" } ] }, { "id": "30570", "image": "30570.png", "conversations": [ { "from": "human", "question": "Sofia wrote down how many pages she read over the past 4 days. On which day did Sofia read the fewest pages?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 71.\n\nNow find the corresponding day. Thursday corresponds to 71.", "answer": "Thursday", "table": "**Pages read**\n\n| Day | Number of pages |\n| --- | --- |\n| Tuesday | 79 |\n| Wednesday | 78 |\n| Thursday | 71 |\n| Friday | 76 |" } ] }, { "id": "30574", "image": "30574.png", "conversations": [ { "from": "human", "question": "Joseph went to the store. He bought 1+1/5 pounds of pear tomatoes. How much did he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the pear tomatoes. Multiply the price per pound by the number of pounds.\n$4 × 1\\frac{1}{5} = $4 × 1.2 = $4.80\nHe spent $4.80.", "answer": "4.80", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| plum tomatoes | $5/pound |\n| vine-ripened tomatoes | $4/pound |\n| heirloom tomatoes | $4/pound |\n| roma tomatoes | $3/pound |\n| cherry tomatoes | $5/pound |\n| pear tomatoes | $4/pound |" } ] }, { "id": "30576", "image": "30576.png", "conversations": [ { "from": "human", "question": "Sophie looked at her e-mail outbox to see how many e-mails she sent each day. On which day did Sophie send the fewest e-mails?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 50.\n\nNow find the corresponding day. Sunday corresponds to 50.", "answer": "Sunday", "table": "**E-mails sent**\n\n| Day | Number of e-mails |\n| --- | --- |\n| Thursday | 54 |\n| Friday | 53 |\n| Saturday | 51 |\n| Sunday | 50 |" } ] }, { "id": "30577", "image": "30577.png", "conversations": [ { "from": "human", "question": "Each branch has 2 flowers. How many flowers are on 4 branches?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 8 flowers on 4 branches.", "answer": "8", "table": "| Number of branches | Number of flowers |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | 6 |\n| 4 | ? |" } ] }, { "id": "30579", "image": "30579.png", "conversations": [ { "from": "human", "question": "A statistician analyzed the number of runs scored by players last season. How many players scored fewer than 3 runs last season?\n" }, { "from": "gpt", "solution": "Find the rows for 0, 1, and 2 runs last season. Add the frequencies for these rows.\n\nAdd:\n\n1 + 13 + 4 = 18\n\n18 players scored fewer than 3 runs last season.", "answer": "18", "table": "**Baseball runs scored last season**\n\n| Runs scored | Frequency |\n| --- | --- |\n| 0 | 1 |\n| 1 | 13 |\n| 2 | 4 |\n| 3 | 16 |\n| 4 | 20 |" } ] }, { "id": "30584", "image": "30584.png", "conversations": [ { "from": "human", "question": "How much money does Mackenzie need to buy a pair of sandals, a white polo shirt, and a pair of brown pants?\n" }, { "from": "gpt", "solution": "Find the total cost of a pair of sandals, a white polo shirt, and a pair of brown pants.\n\n$7.14 + $9.24 + $6.59 = $22.97\n\nMackenzie needs $22.97.", "answer": "22.97", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| white polo shirt | $9.24 |\n| green dress | $6.98 |\n| pair of brown pants | $6.59 |\n| blue tank top | $3.47 |\n| pair of sandals | $7.14 |" } ] }, { "id": "30588", "image": "30588.png", "conversations": [ { "from": "human", "question": "Some friends played golf and compared their scores. Who had the lowest score?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 61.\n\nNow find the corresponding name. Andy corresponds to 61.", "answer": "Andy", "table": "**Golf scores**\n\n| Name | Score |\n| --- | --- |\n| Ian | 65 |\n| Vivian | 64 |\n| Andy | 61 |\n| Haley | 69 |" } ] }, { "id": "30596", "image": "30596.png", "conversations": [ { "from": "human", "question": "Connor went to the store and bought 3 pounds of Manila scrap and 2 pounds of vellum scrap. How much did he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the Manila scrap. Multiply:\n\n$3 × 3 = $9\n\nFind the cost of the vellum scrap. Multiply:\n\n$2 × 2 = $4\n\nNow find the total cost by adding:\n\n$9 + $4 = $13\n\nHe spent $13.", "answer": "13", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| linen scrap | $3 per lb |\n| fiber scrap | $1 per lb |\n| vellum scrap | $2 per lb |\n| Manila scrap | $3 per lb |" } ] }, { "id": "30599", "image": "30599.png", "conversations": [ { "from": "human", "question": "Some candy companies compared how many pieces of candy they have produced. Which company has produced the most candy?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 553.\n\nNow find the corresponding company. Chocolate and More corresponds to 553.", "answer": "Chocolate and More", "table": "**Candy production**\n\n| Company | Number of pieces of candy |\n| --- | --- |\n| Goodman Candies | 532 |\n| Tasty Treats | 513 |\n| Sweet Things | 515 |\n| Chocolate and More | 553 |" } ] }, { "id": "30616", "image": "30616.png", "conversations": [ { "from": "human", "question": "Luther buys 2 pounds of tuna salad. What is the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the tuna salad. Multiply the price per pound by the number of pounds.\n$6 × 2 = $12\nThe total cost is $12.", "answer": "12", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| green salad | $5 per pound |\n| fruit salad | $4 per pound |\n| potato salad | $5 per pound |\n| egg salad | $3 per pound |\n| macaroni salad | $5 per pound |\n| tuna salad | $6 per pound |" } ] }, { "id": "30617", "image": "30617.png", "conversations": [ { "from": "human", "question": "Perry counted the number of silver beads on each bracelet at Middletown Jewelry, the store where he works. How many bracelets had at least 40 silver beads but fewer than 50 silver beads?\n" }, { "from": "gpt", "solution": "Count all the leaves in the row with stem 4.\n\nYou counted 5 leaves, which are blue in the stem-and-leaf plot above. 5 bracelets had at least 40 silver beads but fewer than 50 silver beads.", "answer": "5", "table": "**Silver beads per bracelet**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 2, 4, 6, 7, 8 |\n| 3 | 0, 4, 5, 7, 9 |\n| 4 | 0, 0, 2, 3, 4 |\n| 5 | 0, 5, 8 |" } ] }, { "id": "30621", "image": "30621.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does the train arrive at Stamford?\n" }, { "from": "gpt", "solution": "Find Stamford on the schedule. Find the arrival time for Stamford.\n\nStamford: 3:25 A. M.", "answer": "3:25 A.M.", "table": "**Train schedule**\n\n| Location | Arrive | Depart |\n| --- | --- | --- |\n| Oxford | 9:25 P.M. | 9:55 P.M. |\n| Lakeside | 10:35 P.M. | 11:05 P.M. |\n| Newberg | 12:25 A.M. | 12:35 A.M. |\n| Livingston | 1:35 A.M. | 1:55 A.M. |\n| Stamford | 3:25 A.M. | 3:40 A.M. |\n| Norwood | 4:55 A.M. | 5:10 A.M. |\n| Middletown | 6:25 A.M. | 6:35 A.M. |\n| Danville | 7:55 A.M. | 8:20 A.M. |" } ] }, { "id": "30622", "image": "30622.png", "conversations": [ { "from": "human", "question": "A baker wrote down how many pies she made in the past 4 days. On which day did the baker make the most pies?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 39.\n\nNow find the corresponding day. Monday corresponds to 39.", "answer": "Monday", "table": "**Pies baked**\n\n| Day | Number of pies |\n| --- | --- |\n| Friday | 31 |\n| Saturday | 35 |\n| Sunday | 34 |\n| Monday | 39 |" } ] }, { "id": "30626", "image": "30626.png", "conversations": [ { "from": "human", "question": "Each shopping bag has 2 T-shirts. How many T-shirts are in 6 shopping bags?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 12 T-shirts in 6 shopping bags.", "answer": "12", "table": "| Number of shopping bags | Number of T-shirts |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | 6 |\n| 4 | 8 |\n| 5 | 10 |\n| 6 | ? |" } ] }, { "id": "30627", "image": "30627.png", "conversations": [ { "from": "human", "question": "How much money does Edna need to buy a pair of designer boots, a designer handbag, and a designer watch?\n" }, { "from": "gpt", "solution": "Find the total cost of a pair of designer boots, a designer handbag, and a designer watch.\n\n$4,783.00 + $5,866.00 + $5,540.00 = $16,189.00\n\nEdna needs $16,189.00.", "answer": "16,189", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| designer handbag | $5,866.00 |\n| pair of designer shoes | $1,286.00 |\n| pair of designer boots | $4,783.00 |\n| designer watch | $5,540.00 |" } ] }, { "id": "30631", "image": "30631.png", "conversations": [ { "from": "human", "question": "Martha has $1.50. Does she have enough to buy a bottle of water and a brownie?\n" }, { "from": "gpt", "solution": "Add the price of a bottle of water and the price of a brownie:\n\n$0.76 + $0.56 = $1.32\n\n$1.32 is less than $1.50. Martha does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| piece of cornbread | $0.94 |\n| cup of coffee | $0.78 |\n| bagel | $0.65 |\n| brownie | $0.56 |\n| bottle of water | $0.76 |\n| ice cream cone | $0.89 |" } ] }, { "id": "30638", "image": "30638.png", "conversations": [ { "from": "human", "question": "A shipping company keeps track of the number of boxes in each shipment they send out. How many shipments had fewer than 44 boxes?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 2 and 3.\n\nIn the row with stem 4, count all the leaves less than 4.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plots above. 3 shipments had fewer than 44 boxes.", "answer": "3", "table": "**Boxes per shipment**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 4 |\n| 3 | 6, 8 |\n| 4 | 5 |\n| 5 | 1, 4, 5, 6 |\n| 6 | 0, 6, 6 |\n| 7 | 3, 3, 5, 7, 8 |\n| 8 | 5 |" } ] }, { "id": "30639", "image": "30639.png", "conversations": [ { "from": "human", "question": "A real estate agent looked into how many houses were sold in different cities. How many more houses were sold in Liberty City than in Parville?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nLiberty City: 414\nParville: 256\n\nNow subtract: 414 - 256 = 158.\n\n158 more houses were sold in Liberty City than in Parville.", "answer": "158", "table": "**House sales**\n\n| City | Number of houses sold |\n| --- | --- |\n| Liberty City | 414 |\n| New Hamburg | 139 |\n| Parville | 256 |\n| Melville | 876 |\n| Briggs Corner | 616 |" } ] }, { "id": "30642", "image": "30642.png", "conversations": [ { "from": "human", "question": "Caleb looked over his calendar to see how many times he had soccer practice each month. In which month did Caleb have the fewest soccer practices?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 23.\n\nNow find the corresponding month. March corresponds to 23.", "answer": "March", "table": "**Soccer practice**\n\n| Month | Number of practices |\n| --- | --- |\n| November | 26 |\n| March | 23 |\n| April | 28 |\n| May | 25 |" } ] }, { "id": "30659", "image": "30659.png", "conversations": [ { "from": "human", "question": "The members of the cycling club compared how many miles they biked last week. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n45, 48, 47, 48, 47, 47, 45\n\nFirst, arrange the numbers from least to greatest:\n\n45, 45, 47, 47, 47, 48, 48\n\nNow count how many times each number appears.\n\n45 appears 2 times.\n47 appears 3 times.\n48 appears 2 times.\n\nThe number that appears most often is 47.\n\nThe mode is 47.", "answer": "47", "table": "**Biking last week**\n\n| Name | Miles |\n| --- | --- |\n| Zach | 45 |\n| Judy | 48 |\n| Sandeep | 47 |\n| Lorenzo | 48 |\n| Allie | 47 |\n| Billy | 47 |\n| Hazel | 45 |" } ] }, { "id": "30667", "image": "30667.png", "conversations": [ { "from": "human", "question": "A garden supply store kept track of how many lawn mowers it sold in the past 6 days. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n17, 19, 19, 17, 13, 19\n\nFirst, arrange the numbers from least to greatest:\n\n13, 17, 17, 19, 19, 19\n\nNow count how many times each number appears.\n\n13 appears 1 time.\n17 appears 2 times.\n19 appears 3 times.\n\nThe number that appears most often is 19.\n\nThe mode is 19.", "answer": "19", "table": "**Lawn mowers sold**\n\n| Day | Number of lawn mowers |\n| --- | --- |\n| Sunday | 17 |\n| Monday | 19 |\n| Tuesday | 19 |\n| Wednesday | 17 |\n| Thursday | 13 |\n| Friday | 19 |" } ] }, { "id": "30674", "image": "30674.png", "conversations": [ { "from": "human", "question": "Kurt's school reported how many members each sports team had. Which team has the fewest members?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 41.\n\nNow find the corresponding team. Football team corresponds to 41.", "answer": "football team", "table": "**Sports team membership**\n\n| Team | Number of members |\n| --- | --- |\n| softball team | 47 |\n| wrestling team | 45 |\n| football team | 41 |\n| basketball team | 48 |" } ] }, { "id": "30675", "image": "30675.png", "conversations": [ { "from": "human", "question": "A chef kept track of the number of bananas people ate last week in his cafeteria. How many people are there in all?\n" }, { "from": "gpt", "solution": "Add the frequencies for each row.\n\nAdd:\n\n5 + 14 + 13 + 20 + 2 + 16 = 70\n\nThere are 70 people in all.", "answer": "70", "table": "**Eating bananas last week**\n\n| Bananas eaten | Frequency |\n| --- | --- |\n| 0 | 5 |\n| 1 | 14 |\n| 2 | 13 |\n| 3 | 20 |\n| 4 | 2 |\n| 5 | 16 |" } ] }, { "id": "30682", "image": "30682.png", "conversations": [ { "from": "human", "question": "Janice has $12,583.00. How much money will Janice have left if she buys a boa constrictor and a kinkajou?\n" }, { "from": "gpt", "solution": "Find the total cost of a boa constrictor and a kinkajou.\n\n$1,431.00 + $3,940.00 = $5,371.00\n\nNow subtract the total cost from the starting amount.\n\n$12,583.00 - $5,371.00 = $7,212.00\n\nJanice will have $7,212.00 left.", "answer": "7,212", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| python | $1,904.00 |\n| macaw | $8,236.00 |\n| kinkajou | $3,940.00 |\n| boa constrictor | $1,431.00 |\n| cockatiel | $1,089.00 |" } ] }, { "id": "30685", "image": "30685.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does the hiking trip begin?\n" }, { "from": "gpt", "solution": "Find the hiking trip on the schedule. Find the beginning time for the hiking trip.\n\nhiking trip: 6:50 A. M.", "answer": "6:50 A.M.", "table": "**Camp schedule**\n\n| Activity | Begin | End |\n| --- | --- | --- |\n| hiking trip | 6:50 A.M. | 8:25 A.M. |\n| music class | 8:30 A.M. | 9:55 A.M. |\n| talent show | 10:00 A.M. | 11:40 A.M. |\n| arts and crafts | 11:45 A.M. | 1:20 P.M. |\n| volleyball game | 1:25 P.M. | 2:35 P.M. |\n| softball game | 2:40 P.M. | 4:10 P.M. |" } ] }, { "id": "30686", "image": "30686.png", "conversations": [ { "from": "human", "question": "A food industry researcher compiled the revenues of several pizzerias. How much did Dan's Deep Dish make from pizza sales?\n" }, { "from": "gpt", "solution": "Find the row for Dan's Deep Dish. Add the numbers in the Dan's Deep Dish row.\n\nAdd:\n\n$8.00 + $14.00 = $22.00\n\nDan's Deep Dish made $22 from pizza sales.", "answer": "22", "table": "**Pizza sales**\n\n| Restaurant | Pepperoni pizzas | Supreme pizzas |\n| --- | --- | --- |\n| Pizzas Only | $20 | $20 |\n| Pizzeria Italiano | $17 | $16 |\n| Dan's Deep Dish | $8 | $14 |\n| The Real Chicago | $13 | $16 |" } ] }, { "id": "30687", "image": "30687.png", "conversations": [ { "from": "human", "question": "Each plate has 10 oatmeal cookies. How many oatmeal cookies are on 3 plates?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 30 oatmeal cookies on 3 plates.", "answer": "30", "table": "| Number of plates | Number of oatmeal cookies |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | ? |" } ] }, { "id": "30688", "image": "30688.png", "conversations": [ { "from": "human", "question": "Krysta likes watching the show Engineering Marvels. In last night's episode, the engineering team visited a tall skyscraper and a deep mine. A banner at the bottom of the screen showed the elevation of each location the team visited. Which location is closer to sea level?\n" }, { "from": "gpt", "solution": "The top of the skyscraper has a positive elevation, so it is above sea level. The bottom of the mine has a negative elevation, so it is below sea level.\nTo find the location closer to sea level, use absolute value. Absolute value tells you how far each location is from sea level.\nTop of the skyscraper: |275| = 275\nBottom of the mine: |-260| = 260\nThe top of the skyscraper is 275 meters above sea level, but the bottom of the mine is only260 meters below sea level. The bottom of the mine is closer to sea level.", "answer": "bottom of the mine", "table": "| Location | Elevation (m) |\n| --- | --- |\n| Top of the skyscraper | 275 |\n| Bottom of the mine | -260 |" } ] }, { "id": "30689", "image": "30689.png", "conversations": [ { "from": "human", "question": "How much money does Spencer need to buy 8 fleece blankets?\n" }, { "from": "gpt", "solution": "Find the total cost of 8 fleece blankets by multiplying 8 times the price of a fleece blanket.\n\n$16.91 × 8 = $135.28\n\nSpencer needs $135.28.", "answer": "135.28", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| fleece blanket | $16.91 |\n| pillow | $11.40 |\n| navy blue bath mat | $10.99 |\n| quilt | $48.44 |\n| beach towel | $10.80 |\n| flannel sheet | $21.20 |" } ] }, { "id": "30694", "image": "30694.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{6 - 9}{12 - 11}\n = \\frac{-3}{1}\n = -3\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{3 - 9}{13 - 11}\n = \\frac{-6}{2}\n = -3\nThe two rates of change are the same.\n3.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 11 | 9 |\n| 12 | 6 |\n| 13 | 3 |" } ] }, { "id": "30700", "image": "30700.png", "conversations": [ { "from": "human", "question": "Tammy is looking at the price of new cell phones online. Her favorite company, OrangeTech, has a special this weekend. Tammy can add an upgrade to a phone for an additional cost, or she can buy a used phone to get a discount. The change in price for each option is shown in the table. Which option results in a greater change in price?\n" }, { "from": "gpt", "solution": "To find the option that results in a greater change in price, use absolute value. Absolute value tells you how much the price changes.\nAdd an upgrade: |$60| = $60\nBuy a used phone: |-$75| = $75\nBuying a used phone results in a greater change in price. It reduces the price by $75.", "answer": "buying a used phone", "table": "| Option | Change in phone price |\n| --- | --- |\n| Add an upgrade | $60 |\n| Buy a used phone | -$75 |" } ] }, { "id": "30705", "image": "30705.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{13 - 4}{17 - 16}\n = \\frac{9}{1}\n = 9\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{20 - 4}{18 - 16}\n = \\frac{16}{2}\n = 8\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 16 | 4 |\n| 17 | 13 |\n| 18 | 20 |" } ] }, { "id": "30707", "image": "30707.png", "conversations": [ { "from": "human", "question": "How much money does Mike need to buy a computer keyboard and a radio?\n" }, { "from": "gpt", "solution": "Add the price of a computer keyboard and the price of a radio:\n\n$17.62 + $27.48 = $45.10\n\nMike needs $45.10.", "answer": "45.10", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| waffle maker | $20.33 |\n| computer keyboard | $17.62 |\n| blender | $25.54 |\n| television | $57.14 |\n| radio | $27.48 |" } ] }, { "id": "30708", "image": "30708.png", "conversations": [ { "from": "human", "question": "Justin's classmates revealed how many science articles they read. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n3, 7, 3, 4, 3, 4, 7, 3\n\nFirst, arrange the numbers from least to greatest:\n\n3, 3, 3, 3, 4, 4, 7, 7\n\nNow count how many times each number appears.\n\n3 appears 4 times.\n4 appears 2 times.\n7 appears 2 times.\n\nThe number that appears most often is 3.\n\nThe mode is 3.", "answer": "3", "table": "**Science articles read**\n\n| Name | Number of science articles |\n| --- | --- |\n| Justin | 3 |\n| Lucia | 7 |\n| Turner | 3 |\n| Steven | 4 |\n| Keith | 3 |\n| Quincy | 4 |\n| Rosa | 7 |\n| Elizabeth | 3 |" } ] }, { "id": "30709", "image": "30709.png", "conversations": [ { "from": "human", "question": "A cable company analyst paid attention to how many new customers it had each day. How many more new customers did the cable company have on Saturday than on Tuesday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nSaturday: 348\nTuesday: 247\n\nNow subtract: 348 - 247 = 101.\n\nThe cable company had 101 more new customers in Saturday.", "answer": "101", "table": "**New cable customers**\n\n| Day | Number of new customers |\n| --- | --- |\n| Saturday | 348 |\n| Sunday | 107 |\n| Monday | 689 |\n| Tuesday | 247 |" } ] }, { "id": "30713", "image": "30713.png", "conversations": [ { "from": "human", "question": "The movie critic liked to count the number of actors in each movie she saw. How many movies had at least 30 actors?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 3, 4, 5, 6, 7, 8, and 9.\n\nYou counted 5 leaves, which are blue in the stem-and-leaf plot above. 5 movies had at least 30 actors.", "answer": "5", "table": "**Actors per movie**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1, 3 |\n| 2 | 3 |\n| 3 | |\n| 4 | 7, 8 |\n| 5 | 2 |\n| 6 | |\n| 7 | |\n| 8 | 1 |\n| 9 | 0 |" } ] }, { "id": "30716", "image": "30716.png", "conversations": [ { "from": "human", "question": "A plant nursery in Oxford keeps records of how many of its plants are annuals, biennials, and perennials. What fraction of the plants are annuals? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many plants are annuals.\n\n47\n\nFind how many plants the nursery has in total.\n\n38 + 47 + 52 = 137\n\nDivide 47 by137.\n\n\\frac{47}{137}\n\n\\frac{47}{137} of plants are annuals.", "answer": "47/137", "table": "**Distribution of plant types**\n\n| Type | Number of plants |\n| --- | --- |\n| Biennials | 38 |\n| Annuals | 47 |\n| Perennials | 52 |" } ] }, { "id": "30721", "image": "30721.png", "conversations": [ { "from": "human", "question": "Leo has $42.00. Does he have enough to buy a strawberry cheesecake and a chocolate cheesecake?\n" }, { "from": "gpt", "solution": "Add the price of a strawberry cheesecake and the price of a chocolate cheesecake:\n\n$20.11 + $22.43 = $42.54\n\n$42.54 is more than $42.00. Leo does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| strawberry cheesecake | $20.11 |\n| chocolate cheesecake | $22.43 |\n| peach pie | $12.55 |\n| coconut cake | $10.46 |" } ] }, { "id": "30732", "image": "30732.png", "conversations": [ { "from": "human", "question": "Alice found out the sizes of all the clubs at her school. How many clubs have exactly 27 members?\n" }, { "from": "gpt", "solution": "For the number 27, the stem is 2, and the leaf is 7. Find the row where the stem is 2. In that row, count all the leaves equal to 7.\n\nYou counted 1 leaf, which is blue in the stem-and-leaf plot above. 1 club has exactly27 members.", "answer": "1", "table": "**Club sizes (number of members)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 4, 4, 4, 4, 8 |\n| 2 | 7 |\n| 3 | 3, 7 |\n| 4 | 9 |\n| 5 | 7 |\n| 6 | 3 |\n| 7 | |\n| 8 | 0, 2, 5 |" } ] }, { "id": "30733", "image": "30733.png", "conversations": [ { "from": "human", "question": "Isaac looked at his calendar to see how many hours he had worked in the past 7 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n0, 3, 9, 4, 2, 6, 3\n\nFirst, arrange the numbers from least to greatest:\n\n0, 2, 3, 3, 4, 6, 9\n\nNow find the number in the middle.\n\n0, 2, 3, 3, 4, 6, 9\n\nThe number in the middle is 3.\n\nThe median is 3.", "answer": "3", "table": "**Hours worked**\n\n| Day | Hours |\n| --- | --- |\n| Wednesday | 0 |\n| Thursday | 3 |\n| Friday | 9 |\n| Saturday | 4 |\n| Sunday | 2 |\n| Monday | 6 |\n| Tuesday | 3 |" } ] }, { "id": "30734", "image": "30734.png", "conversations": [ { "from": "human", "question": "A concession stand worker at the movie theater looked up how many bags of popcorn were sold in the past 5 days. How many bags of popcorn in total did the movie theater sell on Tuesday and Wednesday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nTuesday: 1,104\nWednesday: 4,638\n\nNow add: 1,104 + 4,638 = 5,742.\n\nThe movie theater sold 5,742 bags of popcorn on Tuesday and Wednesday.", "answer": "5,742", "table": "**Bags of popcorn sold**\n\n| Day | Number of bags of popcorn |\n| --- | --- |\n| Saturday | 7,710 |\n| Sunday | 1,210 |\n| Monday | 1,038 |\n| Tuesday | 1,104 |\n| Wednesday | 4,638 |" } ] }, { "id": "30736", "image": "30736.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does the shark lecture begin?\n" }, { "from": "gpt", "solution": "Find the shark lecture on the schedule. Find the beginning time for the shark lecture.\n\nshark lecture: 1:45 P. M.", "answer": "1:45 P.M.", "table": "**Aquarium schedule**\n\n| Event | Begin | End |\n| --- | --- | --- |\n| seahorse lecture | 8:30 A.M. | 9:15 A.M. |\n| octopus lecture | 9:50 A.M. | 10:35 A.M. |\n| starfish demonstration | 11:00 A.M. | 11:30 A.M. |\n| coral reef demonstration | 12:20 P.M. | 1:25 P.M. |\n| shark lecture | 1:45 P.M. | 2:20 P.M. |\n| dolphin show | 3:10 P.M. | 4:15 P.M. |\n| turtle lecture | 5:45 P.M. | 6:55 P.M. |" } ] }, { "id": "30740", "image": "30740.png", "conversations": [ { "from": "human", "question": "The Somerville Tourism Office researched how often people played miniature golf last summer. How many people played mini-golf more than 2 times?\n" }, { "from": "gpt", "solution": "Find the row for 3 times and read the frequency. The frequency is 19.\n\n19 people played mini-golf more than 2 times.", "answer": "19", "table": "**Playing miniature golf last summer**\n\n| Times played | Frequency |\n| --- | --- |\n| 0 | 17 |\n| 1 | 18 |\n| 2 | 14 |\n| 3 | 19 |" } ] }, { "id": "30746", "image": "30746.png", "conversations": [ { "from": "human", "question": "A taxi cab driver tracked how many miles he drove each month. How many miles did the taxi cab driver drive in total in January and April?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nJanuary: 5,936\nApril: 1,937\n\nNow add: 5,936 + 1,937 = 7,873.\n\nThe taxi cab driver drove 7,873 miles in January and April.", "answer": "7,873", "table": "**Miles driven**\n\n| Month | Miles |\n| --- | --- |\n| January | 5,936 |\n| February | 1,936 |\n| March | 1,808 |\n| April | 1,937 |" } ] }, { "id": "30753", "image": "30753.png", "conversations": [ { "from": "human", "question": "How much money does Lester need to buy a lawn mower and a measuring tape?\n" }, { "from": "gpt", "solution": "Add the price of a lawn mower and the price of a measuring tape:\n\n$36.92 + $11.96 = $48.88\n\nLester needs $48.88.", "answer": "48.88", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| measuring tape | $11.96 |\n| can of paint | $14.82 |\n| lawn mower | $36.92 |\n| broom | $19.68 |\n| hammer | $20.61 |\n| shovel | $12.68 |" } ] }, { "id": "30761", "image": "30761.png", "conversations": [ { "from": "human", "question": "Kathleen, an employee at McCarthy's Convenience Store, looked at the sales of each of its soda products. How much did the convenience store make from Krazy Kola sales on Saturday?\n" }, { "from": "gpt", "solution": "First, find the row for Krazy Kola. Then find the number in the Saturday column.\n\nThis number is $2.00. The convenience store made $2 from Krazy Kola sales on Saturday.", "answer": "2", "table": "**Convenience store beverage sales**\n\n| Beverage | Friday | Saturday |\n| --- | --- | --- |\n| Krazy Kola | $7 | $2 |\n| Kickin' Coffee | $10 | $16 |\n| Fizzy Fun | $15 | $6 |" } ] }, { "id": "30770", "image": "30770.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $730, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $730, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $10 | 19,200 | 7,400 |\n| $190 | 16,300 | 9,900 |\n| $370 | 13,400 | 12,400 |\n| $550 | 10,500 | 14,900 |\n| $730 | 7,600 | 17,400 |" } ] }, { "id": "30771", "image": "30771.png", "conversations": [ { "from": "human", "question": "Aiden went to the store and bought 2+1/2 pounds of marmalade. How much did he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the marmalade. Multiply the price per pound by the number of pounds.\n$4 × 2\\frac{1}{2} = $4 × 2.5 = $10\nHe spent $10.", "answer": "10", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| raspberry jam | $4/lb |\n| blueberry jam | $4/lb |\n| blackberry jam | $8/lb |\n| marmalade | $4/lb |" } ] }, { "id": "30780", "image": "30780.png", "conversations": [ { "from": "human", "question": "Cara buys 1/4 of a kilogram of Bhutanese red rice. How much does she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the Bhutanese red rice. Multiply the price per kilogram by the number of kilograms.\n$2 × \\frac{1}{4} = $2 × 0.25 = $0.50\nShe spends $0.50.", "answer": "0.50", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| Bhutanese red rice | $2/kg |\n| basmati rice | $3/kg |\n| African rice | $3/kg |\n| brown rice | $2/kg |\n| white rice | $2/kg |\n| sticky rice | $2/kg |" } ] }, { "id": "30786", "image": "30786.png", "conversations": [ { "from": "human", "question": "Each shelf has 2 purple crayons. How many purple crayons are on 4 shelves?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 8 purple crayons on 4 shelves.", "answer": "8", "table": "| Number of shelves | Number of purple crayons |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | 6 |\n| 4 | ? |" } ] }, { "id": "30806", "image": "30806.png", "conversations": [ { "from": "human", "question": "A stock broker followed the stock prices of a certain set of companies. Which company's stock cost more on Tuesday, Houston Sporting Goods or Thompson Corporation?\n" }, { "from": "gpt", "solution": "Find the Tuesday column. Compare the numbers in this column for Houston Sporting Goods and Thompson Corporation.\n\n$14.00 is more than $4.00. On Tuesday, Thompson Corporation's stock cost more.", "answer": "Thompson Corporation", "table": "**Stock prices**\n\n| Company | Monday | Tuesday |\n| --- | --- | --- |\n| Jonas Incorporated | $8 | $1 |\n| Computer Data Company | $12 | $1 |\n| Houston Sporting Goods | $9 | $4 |\n| Thompson Corporation | $12 | $14 |" } ] }, { "id": "30811", "image": "30811.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. How long does it take to get from Rollercoaster Land to Comfy Pillows Resort?\n" }, { "from": "gpt", "solution": "Read the times in the first column for Rollercoaster Land and Comfy Pillows Resort.\n\nFind the elapsed time between 6:15 A. M. and 9:45 A. M. The elapsed time is 3 hours and 30 minutes.\n\nNo matter which column of times you look at, the elapsed time is always 3 hours and 30 minutes.", "answer": "3 hours and 30 minutes", "table": "**Train schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 |\n| --- | --- | --- | --- |\n| Rollercoaster Land | 6:15 A.M. | 11:00 A.M. | 11:45 P.M. |\n| Pleasant River Campground | 6:45 A.M. | 11:30 A.M. | 12:15 A.M. |\n| City of Green Trees | 7:30 A.M. | 12:15 P.M. | 1:00 A.M. |\n| Happy Cow Farm | 8:30 A.M. | 1:15 P.M. | 2:00 A.M. |\n| Rocky Ravine Town | 9:15 A.M. | 2:00 P.M. | 2:45 A.M. |\n| Comfy Pillows Resort | 9:45 A.M. | 2:30 P.M. | 3:15 A.M. |" } ] }, { "id": "30826", "image": "30826.png", "conversations": [ { "from": "human", "question": "Luca was the lucky journalist assigned to cover the Best Beard Competition. He recorded the contestants' beard colors in his notepad. Luca also noted if the contestants were signed up for the mustache competition later in the day. What is the probability that a randomly selected contestant has a grey beard and is also in the mustache competition? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the contestant has a grey beard\" and B be the event \"the contestant is also in the mustache competition\".\nTo find the probability that a contestant has a grey beard and is also in the mustache competition, first identify the sample space and the event.\nThe outcomes in the sample space are the different contestants. Each contestant is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the contestant has a grey beard and is also in the mustache competition\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the contestant has a grey beard and is also in the mustache competition\", so look at the table to see how many contestants have a grey beard and are also in the mustache competition.\nThe number of contestants who have a grey beard and are also in the mustache competition is 5.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of contestants.\n3 + 5 + 7 + 5 = 20\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{5}{20}\n = \\frac{1}{4}\nThe probability that a contestant has a grey beard and is also in the mustache competition is \\frac{1}{4}.", "answer": "1/4", "table": "| | Only in the beard competition | Also in the mustache competition |\n| --- | --- | --- |\n| Red beard | 3 | 7 |\n| Grey beard | 5 | 5 |" } ] }, { "id": "30834", "image": "30834.png", "conversations": [ { "from": "human", "question": "A waitress kept track of how many hours she worked each day. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 9, 8, 6, 4, 8, 8\n\nFirst, count how many numbers are in the group.\n\nThere are 7 numbers.\n\nNow add all the numbers together:\n\n6 + 9 + 8 + 6 + 4 + 8 + 8 = 49\n\nNow divide the sum by the number of numbers:\n\n49 ÷ 7 = 7\n\nThe mean is 7.", "answer": "7", "table": "**Hours worked**\n\n| Day | Hours |\n| --- | --- |\n| Tuesday | 6 |\n| Wednesday | 9 |\n| Thursday | 8 |\n| Friday | 6 |\n| Saturday | 4 |\n| Sunday | 8 |\n| Monday | 8 |" } ] }, { "id": "30837", "image": "30837.png", "conversations": [ { "from": "human", "question": "Gina measured the length of each scarf in the clothing store where she works. How many scarves are less than 100 centimeters?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 6, 7, 8, and 9.\n\nYou counted 8 leaves, which are blue in the stem-and-leaf plot above. 8 scarves are less than 100 centimeters.", "answer": "8", "table": "**Scarf lengths (centimeters)**\n\n| Stem | Leaf |\n| --- | --- |\n| 6 | 9 |\n| 7 | 6, 7, 8 |\n| 8 | 4, 7, 8 |\n| 9 | 0 |" } ] }, { "id": "30839", "image": "30839.png", "conversations": [ { "from": "human", "question": "A grocery store tracked how many bananas it sold each day. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n86, 68, 77, 67, 79, 78\n\nFirst, find the greatest number. The greatest number is 86.\n\nNext, find the least number. The least number is 67.\n\nSubtract the least number from the greatest number:\n\n86 − 67 = 19\n\nThe range is 19.", "answer": "19", "table": "**Bananas sold**\n\n| Day | Number of bananas |\n| --- | --- |\n| Wednesday | 86 |\n| Thursday | 68 |\n| Friday | 77 |\n| Saturday | 67 |\n| Sunday | 79 |\n| Monday | 78 |" } ] }, { "id": "30841", "image": "30841.png", "conversations": [ { "from": "human", "question": "A city's school board compared how many students attend each high school. Which school has the most students?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 776.\n\nNow find the corresponding school. Truman High corresponds to 776.", "answer": "Truman High", "table": "**High school attendance**\n\n| School | Number of students |\n| --- | --- |\n| Truman High | 776 |\n| Oak High | 764 |\n| Hillcrest High | 746 |\n| Watson High | 747 |" } ] }, { "id": "30842", "image": "30842.png", "conversations": [ { "from": "human", "question": "How much more does a painting signed by a famous artist cost than a ball signed by a famous football player?\n" }, { "from": "gpt", "solution": "Subtract the price of a ball signed by a famous football player from the price of a painting signed by a famous artist.\n\n$2,611 - $1,547 = $1,064\n\nA painting signed by a famous artist costs $1,064 more than a ball signed by a famous football player.", "answer": "1,064", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| painting signed by a famous artist | $2,611 |\n| book signed by a famous author | $4,075 |\n| bat signed by a famous baseball player | $8,181 |\n| photograph signed by a famous race car driver | $1,952 |\n| photograph signed by a famous movie star | $3,436 |\n| ball signed by a famous football player | $1,547 |" } ] }, { "id": "30847", "image": "30847.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which event ends at 11.40 A.M.?\n" }, { "from": "gpt", "solution": "Find 11:40 A. M. on the schedule. The men's floor exercise event ends at 11:40 A. M.", "answer": "men's floor exercise event", "table": "**Gymnastics meet schedule**\n\n| Event | Begin | End |\n| --- | --- | --- |\n| men's floor exercise | 10:50 A.M. | 11:40 A.M. |\n| women's uneven bars | 11:50 A.M. | 12:20 P.M. |\n| men's rings | 12:20 P.M. | 1:20 P.M. |\n| men's pommel horse | 1:30 P.M. | 2:20 P.M. |\n| women's floor exercise | 2:25 P.M. | 3:15 P.M. |\n| men's vault | 2:55 P.M. | 3:30 P.M. |" } ] }, { "id": "30867", "image": "30867.png", "conversations": [ { "from": "human", "question": "Anita's Candies has been studying how much chocolate people have been eating in different countries. In 2002, how much more chocolate did Sweden consume per capita than Poland?\n" }, { "from": "gpt", "solution": "Find the 2002 column. Find the numbers in this column for Sweden and Poland.\n\nSweden: 8\nPoland: 3\n\nNow subtract:\n\n8 − 3 = 5\n\nIn 2002, Sweden consumed 5 kilograms more chocolate per capita than Poland.", "answer": "5", "table": "**Chocolate consumption per capita (kg)**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 2002 | 2005 |\n| Poland | 3 | 4 |\n| Sweden | 8 | 7 |\n| Denmark | 9 | 8 |\n| Austria | 8 | 9 |" } ] }, { "id": "30875", "image": "30875.png", "conversations": [ { "from": "human", "question": "Some students compared how many pets they have. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n3, 6, 10, 7, 9\n\nFirst, arrange the numbers from least to greatest:\n\n3, 6, 7, 9, 10\n\nNow find the number in the middle.\n\n3, 6, 7, 9, 10\n\nThe number in the middle is 7.\n\nThe median is 7.", "answer": "7", "table": "**Pets**\n\n| Name | Number of pets |\n| --- | --- |\n| Melissa | 3 |\n| Reid | 6 |\n| Nathan | 10 |\n| Pete | 7 |\n| Emma | 9 |" } ] }, { "id": "30876", "image": "30876.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{11 - 20}{5 - 4}\n = \\frac{-9}{1}\n = -9\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{2 - 11}{6 - 5}\n = \\frac{-9}{1}\n = -9\nThe two rates of change are the same.\n9.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 4 | 20 |\n| 5 | 11 |\n| 6 | 2 |" } ] }, { "id": "30877", "image": "30877.png", "conversations": [ { "from": "human", "question": "Charlie buys 4 pounds of soybeans and 4 pounds of sesame seeds. How much does he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the soybeans. Multiply:\n\n$1 × 4 = $4\n\nFind the cost of the sesame seeds. Multiply:\n\n$6 × 4 = $24\n\nNow find the total cost by adding:\n\n$4 + $24 = $28\n\nHe spends $28.", "answer": "28", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| lentils | $1/pound |\n| sesame seeds | $6/pound |\n| pumpkin seeds | $4/pound |\n| soybeans | $1/pound |\n| sunflower seeds | $2/pound |\n| flax seeds | $5/pound |" } ] }, { "id": "30878", "image": "30878.png", "conversations": [ { "from": "human", "question": "Felipe wants to buy 1 kilogram of ham, 1 kilogram of duck, and 1 kilogram of beef. How much will he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the ham. Multiply:\n\n$3.56 × 1 = $3.56\n\nFind the cost of the duck. Multiply:\n\n$4.10 × 1 = $4.10\n\nFind the cost of the beef. Multiply:\n\n$3 × 1 = $3\n\nNow find the total cost by adding:\n\n$3.56 + $4.10 + $3 = $10.66\n\nHe will spend $10.66.", "answer": "10.66", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| duck | $4.10 per kilogram |\n| beef | $3.00 per kilogram |\n| chicken | $2.14 per kilogram |\n| turkey | $3.22 per kilogram |\n| pork | $2.00 per kilogram |\n| ham | $3.56 per kilogram |" } ] }, { "id": "30881", "image": "30881.png", "conversations": [ { "from": "human", "question": "While doing a project for P. E. class, Megan researched the number of athletes competing in an international sporting event. What is the smallest number of athletes?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 5.\n\nNow find the lowest leaf in the first row. The lowest leaf is 1.\n\nThe smallest number of athletes has a stem of 5 and a leaf of 1. Write the stem first, then the leaf: 51.\n\nThe smallest number of athletes is 51 athletes.", "answer": "51", "table": "**Athletes per country**\n\n| Stem | Leaf |\n| --- | --- |\n| 5 | 1, 1, 3, 5, 5, 5, 7, 8, 9 |\n| 6 | 1, 3, 4, 9 |\n| 7 | 3, 5, 9 |\n| 8 | 3, 9 |\n| 9 | 0 |" } ] }, { "id": "30883", "image": "30883.png", "conversations": [ { "from": "human", "question": "Patrick conducted a blind taste test on some of his friends in order to determine if organic fruits tasted different than non-organic fruits. Each friend ate one type of fruit. What is the probability that a randomly selected friend tasted apples and preferred non-organic? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the friend tasted apples\" and B be the event \"the friend preferred non-organic\".\nTo find the probability that a friend tasted apples and preferred non-organic, first identify the sample space and the event.\nThe outcomes in the sample space are the different friends. Each friend is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the friend tasted apples and preferred non-organic\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the friend tasted apples and preferred non-organic\", so look at the table to see how many friends tasted apples and preferred non-organic.\nThe number of friends who tasted apples and preferred non-organic is 5.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of friends.\n6 + 3 + 5 + 3 = 17\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{5}{17}\nThe probability that a friend tasted apples and preferred non-organic is \\frac{5}{17}.", "answer": "5/17", "table": "| | Organic | Non-organic |\n| --- | --- | --- |\n| Apples | 6 | 5 |\n| Peaches | 3 | 3 |" } ] }, { "id": "30884", "image": "30884.png", "conversations": [ { "from": "human", "question": "How much more does a book about the Olympics cost than a book about helicopters?\n" }, { "from": "gpt", "solution": "Subtract the price of a book about helicopters from the price of a book about the Olympics.\n\n$21.21 - $16.67 = $4.54\n\nA book about the Olympics costs $4.54 more than a book about helicopters.", "answer": "4.54", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| book about Europe | $13.33 |\n| book about the Olympics | $21.21 |\n| book about Asia | $17.25 |\n| book about baseball | $23.94 |\n| book about helicopters | $16.67 |" } ] }, { "id": "30891", "image": "30891.png", "conversations": [ { "from": "human", "question": "Tanvi kept a tally of the number of emails she received each day for a week. According to the table, what was the rate of change between Tuesday and Wednesday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{6 emails - 1 email}{1 day}\n = \\frac{5 emails}{1 day}\n = 5 emails per day\nThe rate of change between Tuesday and Wednesday was 5 emails per day.", "answer": "5", "table": "**Emails Tanvi received**\n\n| Day | Emails |\n| --- | --- |\n| Monday | 4 |\n| Tuesday | 1 |\n| Wednesday | 6 |\n| Thursday | 1 |\n| Friday | 0 |" } ] }, { "id": "30893", "image": "30893.png", "conversations": [ { "from": "human", "question": "Steven kept track of how long it took to finish his homework each day. According to the table, what was the rate of change between Wednesday and Thursday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{29 minutes - 31 minutes}{1 day}\n = \\frac{-2 minutes}{1 day}\n = -2 minutes per day\nThe rate of change between Wednesday and Thursday was - 2 minutes per day.", "answer": "-2", "table": "**Time Steven spent on homework**\n\n| Day | Minutes |\n| --- | --- |\n| Sunday | 28 |\n| Monday | 26 |\n| Tuesday | 33 |\n| Wednesday | 31 |\n| Thursday | 29 |" } ] }, { "id": "30897", "image": "30897.png", "conversations": [ { "from": "human", "question": "A waitress kept track of how many hours she worked each day. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n10, 10, 6, 6, 8\n\nFirst, count how many numbers are in the group.\n\nThere are 5 numbers.\n\nNow add all the numbers together:\n\n10 + 10 + 6 + 6 + 8 = 40\n\nNow divide the sum by the number of numbers:\n\n40 ÷ 5 = 8\n\nThe mean is 8.", "answer": "8", "table": "**Hours worked**\n\n| Day | Hours |\n| --- | --- |\n| Thursday | 10 |\n| Friday | 10 |\n| Saturday | 6 |\n| Sunday | 6 |\n| Monday | 8 |" } ] }, { "id": "30919", "image": "30919.png", "conversations": [ { "from": "human", "question": "Krysta has $5,311.00. Does she have enough to buy a boa constrictor and an alpaca?\n" }, { "from": "gpt", "solution": "Add the price of a boa constrictor and the price of an alpaca:\n\n$1,483.00 + $3,992.00 = $5,475.00\n\n$5,475.00 is more than $5,311.00. Krysta does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| boa constrictor | $1,483.00 |\n| alpaca | $3,992.00 |\n| python | $5,924.00 |\n| llama | $2,255.00 |" } ] }, { "id": "30921", "image": "30921.png", "conversations": [ { "from": "human", "question": "Ms. Henderson reported her students' scores on the most recent quiz. How many students scored fewer than 80 points?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 2, 3, 4, 5, 6, and 7.\n\nYou counted 7 leaves, which are blue in the stem-and-leaf plot above. 7 students scored fewer than 80 points.", "answer": "7", "table": "**Quiz scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 0, 7 |\n| 3 | |\n| 4 | 6 |\n| 5 | 9 |\n| 6 | 5 |\n| 7 | 3, 9 |" } ] }, { "id": "30923", "image": "30923.png", "conversations": [ { "from": "human", "question": "A pretzel stand owner kept track of the number of pretzels sold during the past 4 days. On which day did the stand sell the fewest pretzels?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 447.\n\nNow find the corresponding day. Thursday corresponds to 447.", "answer": "Thursday", "table": "**Pretzels sold**\n\n| Day | Number of pretzels |\n| --- | --- |\n| Thursday | 447 |\n| Friday | 458 |\n| Saturday | 457 |\n| Sunday | 479 |" } ] }, { "id": "30927", "image": "30927.png", "conversations": [ { "from": "human", "question": "The movie critic liked to count the number of actors in each movie he saw. How many movies had at least 40 actors?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 4, 5, 6, 7, 8, and 9.\n\nYou counted 12 leaves, which are blue in the stem-and-leaf plot above. 12 movies had at least 40 actors.", "answer": "12", "table": "**Actors per movie**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 0, 1, 1, 7 |\n| 4 | 5 |\n| 5 | 8 |\n| 6 | 1, 2, 4, 8, 9 |\n| 7 | 0, 8 |\n| 8 | 4, 6 |\n| 9 | 0 |" } ] }, { "id": "30933", "image": "30933.png", "conversations": [ { "from": "human", "question": "For a math assignment, Cora researched the scores of the people competing on her favorite quiz show. How many people scored exactly 35 points?\n" }, { "from": "gpt", "solution": "For the number 35, the stem is 3, and the leaf is 5. Find the row where the stem is 3. In that row, count all the leaves equal to 5.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 people scored exactly 35 points.", "answer": "4", "table": "**Quiz show scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 5, 5, 5, 5 |\n| 4 | 2, 4 |\n| 5 | 1, 3, 3 |\n| 6 | 5 |\n| 7 | |\n| 8 | |\n| 9 | 0 |" } ] }, { "id": "30936", "image": "30936.png", "conversations": [ { "from": "human", "question": "How much money does Greta need to buy blueberry pancakes and a ham and cheese omelette?\n" }, { "from": "gpt", "solution": "Add the price of blueberry pancakes and the price of a ham and cheese omelette:\n\n$9.00 + $2.00 = $11.00\n\nGreta needs $11.00.", "answer": "11", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| scrambled eggs | $6.00 |\n| blueberry pancakes | $9.00 |\n| ham and cheese omelette | $2.00 |\n| bowl of oatmeal | $7.00 |" } ] }, { "id": "30941", "image": "30941.png", "conversations": [ { "from": "human", "question": "Carly went to the store. She bought 1.5 pounds of heart-shaped beads. How much did she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the heart-shaped beads. Multiply the price per pound by the number of pounds.\n$8 × 1.5 = $12\nShe spent $12.", "answer": "12", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| square beads | $5/pound |\n| star-shaped beads | $4/pound |\n| flower-shaped beads | $7/pound |\n| heart-shaped beads | $8/pound |\n| oval beads | $4/pound |\n| spherical beads | $6/pound |\n| rectangular beads | $7/pound |" } ] }, { "id": "30948", "image": "30948.png", "conversations": [ { "from": "human", "question": "Each year the Springtown School District publishes its annual budget, which includes information on the sports program's per-student spending. According to the table, what was the rate of change between 2017 and 2018?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{$36 - $31}{2018 - 2017}\n = \\frac{$36 - $31}{1 year}\n = \\frac{$5}{1 year}\n = $5 per year\nThe rate of change between 2017 and 2018 was $5 per year.", "answer": "5", "table": "**Springtown School District sports budget**\n\n| Year | Per-student budget |\n| --- | --- |\n| 2015 | $29 |\n| 2016 | $28 |\n| 2017 | $31 |\n| 2018 | $36 |\n| 2019 | $33 |" } ] }, { "id": "30949", "image": "30949.png", "conversations": [ { "from": "human", "question": "A pretzel stand owner kept track of the number of pretzels sold during the past 3 days. How many more pretzels did the stand sell on Tuesday than on Monday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nTuesday: 371\nMonday: 119\n\nNow subtract: 371 - 119 = 252.\n\nThe stand sold 252 more pretzels on Tuesday.", "answer": "252", "table": "**Pretzels sold**\n\n| Day | Number of pretzels |\n| --- | --- |\n| Monday | 119 |\n| Tuesday | 371 |\n| Wednesday | 484 |" } ] }, { "id": "30950", "image": "30950.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $640, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $640, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $130 | 20,300 | 4,600 |\n| $300 | 15,600 | 7,300 |\n| $470 | 10,900 | 10,000 |\n| $640 | 6,200 | 12,700 |\n| $810 | 1,500 | 15,400 |" } ] }, { "id": "30971", "image": "30971.png", "conversations": [ { "from": "human", "question": "While doing a project for P. E. class, Kendra researched the number of athletes competing in an international sporting event. How many countries have exactly 64 athletes?\n" }, { "from": "gpt", "solution": "For the number 64, the stem is 6, and the leaf is 4. Find the row where the stem is 6. In that row, count all the leaves equal to 4.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 countries have exactly 64 athletes.", "answer": "3", "table": "**Athletes per country**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 3, 9 |\n| 5 | 4, 7 |\n| 6 | 2, 3, 4, 4, 4, 9 |\n| 7 | 1, 1, 3, 5 |\n| 8 | |\n| 9 | 0 |" } ] }, { "id": "30979", "image": "30979.png", "conversations": [ { "from": "human", "question": "Each shelf has 2 history books. How many history books are on 6 shelves?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 12 history books on 6 shelves.", "answer": "12", "table": "| Number of shelves | Number of history books |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | 6 |\n| 4 | 8 |\n| 5 | 10 |\n| 6 | ? |" } ] }, { "id": "30980", "image": "30980.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{10 - 14}{7 - 6}\n = \\frac{-4}{1}\n = -4\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{0 - 10}{8 - 7}\n = \\frac{-10}{1}\n = -10\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 6 | 14 |\n| 7 | 10 |\n| 8 | 0 |" } ] }, { "id": "30985", "image": "30985.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which stop does the bus depart from at 1.15 P.M.?\n" }, { "from": "gpt", "solution": "Find 1:15 P. M. on the schedule. The bus departs from the library at 1:15 P. M.", "answer": "library", "table": "**Bus schedule**\n\n| Location | Time |\n| --- | --- |\n| the school | 10:25 A.M. |\n| the doctor's office | 10:50 A.M. |\n| the post office | 11:15 A.M. |\n| the playground | 11:40 A.M. |\n| the kickball field | 11:55 A.M. |\n| the mall | 12:30 P.M. |\n| the science museum | 12:55 P.M. |\n| the library | 1:15 P.M. |" } ] }, { "id": "30988", "image": "30988.png", "conversations": [ { "from": "human", "question": "Each bunch has 5 balloons. How many balloons are in 4 bunches?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 20 balloons in 4 bunches.", "answer": "20", "table": "| Number of bunches | Number of balloons |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | ? |" } ] }, { "id": "30989", "image": "30989.png", "conversations": [ { "from": "human", "question": "How much money does Abigail need to buy a piece of floral stationery and a sheet of shiny silver paper?\n" }, { "from": "gpt", "solution": "Add the price of a piece of floral stationery and the price of a sheet of shiny silver paper:\n\n$0.55 + $0.19 = $0.74\n\nAbigail needs $0.74.", "answer": "0.74", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| piece of striped paper | $0.23 |\n| pale purple note card | $0.22 |\n| piece of floral stationery | $0.55 |\n| sheet of green paper | $0.24 |\n| piece of elegant stationery | $0.30 |\n| sheet of shiny silver paper | $0.19 |" } ] }, { "id": "30993", "image": "30993.png", "conversations": [ { "from": "human", "question": "At Lakewood Consulting, the head of human resources examined how the number of employees with health care benefits varied in response to policy changes. According to the table, what was the rate of change between 2007 and 2008?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{41 employees - 18 employees}{2008 - 2007}\n = \\frac{41 employees - 18 employees}{1 year}\n = \\frac{23 employees}{1 year}\n = 23 employees per year\nThe rate of change between 2007 and 2008 was 23 employees per year.", "answer": "23", "table": "**Employees with health care benefits**\n\n| Year | Employees |\n| --- | --- |\n| 2007 | 18 |\n| 2008 | 41 |\n| 2009 | 9 |\n| 2010 | 50 |\n| 2011 | 39 |" } ] }, { "id": "30994", "image": "30994.png", "conversations": [ { "from": "human", "question": "How much money does Kiara need to buy a whole sand dollar, an oyster shell, and a shiny gold shell?\n" }, { "from": "gpt", "solution": "Find the total cost of a whole sand dollar, an oyster shell, and a shiny gold shell.\n\n$0.66 + $0.65 + $0.12 = $1.43\n\nKiara needs $1.43.", "answer": "1.43", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pink conch shell | $0.24 |\n| white spindle shell | $0.20 |\n| whole sand dollar | $0.66 |\n| shiny gold shell | $0.12 |\n| oyster shell | $0.65 |\n| orange cone shell | $0.10 |" } ] }, { "id": "31004", "image": "31004.png", "conversations": [ { "from": "human", "question": "The members of the track team compared how many miles they ran last week. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 6, 7, 9, 5, 4, 2, 8\n\nFirst, count how many numbers are in the group.\n\nThere are 8 numbers.\n\nNow add all the numbers together:\n\n7 + 6 + 7 + 9 + 5 + 4 + 2 + 8 = 48\n\nNow divide the sum by the number of numbers:\n\n48 ÷ 8 = 6\n\nThe mean is 6.", "answer": "6", "table": "**Running miles**\n\n| Name | Miles |\n| --- | --- |\n| Emma | 7 |\n| Dean | 6 |\n| Craig | 7 |\n| Victor | 9 |\n| Katie | 5 |\n| Brennan | 4 |\n| Aaron | 2 |\n| Miguel | 8 |" } ] }, { "id": "31026", "image": "31026.png", "conversations": [ { "from": "human", "question": "Look at this table. Is this relation a function?\n" }, { "from": "gpt", "solution": "Look at the x-values in the table.\n\nThe x-value 6 is paired with multiple y-values, so the relation is not a function.", "answer": "no", "table": "| x | y |\n| --- | --- |\n| 16 | 0 |\n| 6 | 11 |\n| 6 | 18 |\n| 6 | 2 |" } ] }, { "id": "31032", "image": "31032.png", "conversations": [ { "from": "human", "question": "A chef kept track of the number of bananas people ate last week in her cafeteria. How many people ate at least 2 bananas last week?\n" }, { "from": "gpt", "solution": "Find the rows for 2, 3, and 4 bananas last week. Add the frequencies for these rows.\n\nAdd:\n\n10 + 6 + 11 = 27\n\n27 people ate at least 2 bananas last week.", "answer": "27", "table": "**Eating bananas last week**\n\n| Bananas eaten | Frequency |\n| --- | --- |\n| 0 | 13 |\n| 1 | 3 |\n| 2 | 10 |\n| 3 | 6 |\n| 4 | 11 |" } ] }, { "id": "31039", "image": "31039.png", "conversations": [ { "from": "human", "question": "A farm equipment company kept a record of the number of tractors made each month. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 9, 9, 10, 10\n\nFirst, find the greatest number. The greatest number is 10.\n\nNext, find the least number. The least number is 9.\n\nSubtract the least number from the greatest number:\n\n10 − 9 = 1\n\nThe range is 1.", "answer": "1", "table": "**Tractors made**\n\n| Month | Number of tractors |\n| --- | --- |\n| December | 9 |\n| January | 9 |\n| February | 9 |\n| March | 10 |\n| April | 10 |" } ] }, { "id": "31040", "image": "31040.png", "conversations": [ { "from": "human", "question": "Ben wants to buy 1 kilogram of Chinese lettuce. How much will he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the Chinese lettuce. Multiply the price per kilogram by the number of kilograms.\n\n$1.38 × 1 = $1.38\n\nHe will spend $1.38.", "answer": "1.38", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| butterhead lettuce | $2.17 per kg |\n| Swiss chard | $2.15 per kg |\n| Chinese lettuce | $1.38 per kg |\n| summer crisp lettuce | $0.57 per kg |\n| romaine lettuce | $0.44 per kg |" } ] }, { "id": "31049", "image": "31049.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{8 - 13}{16 - 15}\n = \\frac{-5}{1}\n = -5\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{3 - 13}{17 - 15}\n = \\frac{-10}{2}\n = -5\nThe two rates of change are the same.\n5.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 15 | 13 |\n| 16 | 8 |\n| 17 | 3 |" } ] }, { "id": "31050", "image": "31050.png", "conversations": [ { "from": "human", "question": "If Ruben buys 3.1 kilograms of feta, how much will he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the feta. Multiply the price per kilogram by the number of kilograms.\n$2 × 3.1 = $6.20\nHe will spend $6.20.", "answer": "6.20", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| mozzarella | $3 per kg |\n| blue cheese | $2 per kg |\n| gouda | $2 per kg |\n| feta | $2 per kg |\n| smoked cheddar | $2 per kg |\n| Brie | $2 per kg |" } ] }, { "id": "31059", "image": "31059.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which activity begins at 7.45 P.M.?\n" }, { "from": "gpt", "solution": "Find 7:45 P. M. on the schedule. The dog show begins at 7:45 P. M.", "answer": "dog show", "table": "**County fair schedule**\n\n| Activity | Begin | End |\n| --- | --- | --- |\n| livestock exhibition | 7:10 A.M. | 9:40 A.M. |\n| milking demonstration | 9:50 A.M. | 2:40 P.M. |\n| bluegrass concert | 2:05 P.M. | 4:25 P.M. |\n| magic demonstration | 3:35 P.M. | 6:20 P.M. |\n| rodeo competition | 4:55 P.M. | 6:55 P.M. |\n| cooking demonstration | 5:50 P.M. | 9:05 P.M. |\n| dog show | 7:45 P.M. | 10:30 P.M. |" } ] }, { "id": "31061", "image": "31061.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $1,155, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $1,155, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $795 | 21,900 | 10,300 |\n| $915 | 20,800 | 12,300 |\n| $1,035 | 19,700 | 14,300 |\n| $1,155 | 18,600 | 16,300 |\n| $1,275 | 17,500 | 18,300 |" } ] }, { "id": "31065", "image": "31065.png", "conversations": [ { "from": "human", "question": "How much money does Ken need to buy a flag stamp and a tulip stamp?\n" }, { "from": "gpt", "solution": "Add the price of a flag stamp and the price of a tulip stamp:\n\n$0.08 + $0.02 = $0.10\n\nKen needs $0.10.", "answer": "0.10", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| butterfly stamp | $0.01 |\n| robot stamp | $0.07 |\n| tulip stamp | $0.02 |\n| duck stamp | $0.01 |\n| flag stamp | $0.08 |" } ] }, { "id": "31069", "image": "31069.png", "conversations": [ { "from": "human", "question": "A cookie factory monitored the number of broken cookies per pack yesterday. What is the smallest number of broken cookies?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 3.\n\nNow find the lowest leaf in the first row. The lowest leaf is 1.\n\nThe smallest number of broken cookies has a stem of 3 and a leaf of 1. Write the stem first, then the leaf: 31.\n\nThe smallest number of broken cookies is 31 broken cookies.", "answer": "31", "table": "**Broken cookies per pack**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 1 |\n| 4 | 0, 4 |\n| 5 | 7 |\n| 6 | 5 |\n| 7 | 2, 5 |\n| 8 | |\n| 9 | 0 |" } ] }, { "id": "31079", "image": "31079.png", "conversations": [ { "from": "human", "question": "While looking through an almanac at the library, Eddie noticed some data showing the population density of various states. In 2000, how many more people per square mile lived in Nevada than in New Mexico?\n" }, { "from": "gpt", "solution": "Find the 2000 column. Find the numbers in this column for Nevada and New Mexico.\n\nNevada: 18\nNew Mexico: 15\n\nNow subtract:\n\n18 − 15 = 3\n\nIn 2000, 3 more people per square mile lived in Nevada than in New Mexico.", "answer": "3", "table": "**Population per square mile**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| State | 1990 | 2000 |\n| New Mexico | 12 | 15 |\n| Montana | 5 | 6 |\n| Nevada | 10 | 18 |" } ] }, { "id": "31085", "image": "31085.png", "conversations": [ { "from": "human", "question": "Each table has 10 notepads. How many notepads are on 6 tables?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 60 notepads on 6 tables.", "answer": "60", "table": "| Number of tables | Number of notepads |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | 40 |\n| 5 | 50 |\n| 6 | ? |" } ] }, { "id": "31089", "image": "31089.png", "conversations": [ { "from": "human", "question": "How much would it cost to buy 1 kilogram of hummus?\n" }, { "from": "gpt", "solution": "Find the cost of the hummus. Multiply the price per kilogram by the number of kilograms.\n\n$1.43 × 1 = $1.43\n\nIt would cost $1.43.", "answer": "1.43", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| onion dip | $2.20 per kg |\n| guacamole | $1.12 per kg |\n| baba ghanoush | $1.80 per kg |\n| hummus | $1.43 per kg |\n| dill dip | $1.35 per kg |" } ] }, { "id": "31094", "image": "31094.png", "conversations": [ { "from": "human", "question": "While working as a summer camp counselor, Cole monitored how many candy necklaces each child made. How many children did not make any candy necklaces?\n" }, { "from": "gpt", "solution": "Find the row for 0 candy necklaces and read the frequency. The frequency is 1.\n\n1 child did not make any candy necklaces.", "answer": "1", "table": "**Making candy necklaces**\n\n| Candy necklaces made | Frequency |\n| --- | --- |\n| 0 | 1 |\n| 1 | 3 |\n| 2 | 19 |\n| 3 | 2 |" } ] }, { "id": "31098", "image": "31098.png", "conversations": [ { "from": "human", "question": "How much money does Clayton need to buy 2 scrapbooks?\n" }, { "from": "gpt", "solution": "Find the total cost of 2 scrapbooks by multiplying 2 times the price of a scrapbook.\n\n$15.00 × 2 = $30.00\n\nClayton needs $30.00.", "answer": "30", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| encyclopedia | $47.00 |\n| scrapbook | $15.00 |\n| dictionary | $10.00 |\n| math book | $11.00 |" } ] }, { "id": "31099", "image": "31099.png", "conversations": [ { "from": "human", "question": "To get to know her students better, Ms. Lam surveyed her math students to determine what hobbies and school subjects they prefer. What is the probability that a randomly selected student prefers math and enjoys poetry? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the student prefers math\" and B be the event \"the student enjoys poetry\".\nTo find the probability that a student prefers math and enjoys poetry, first identify the sample space and the event.\nThe outcomes in the sample space are the different students. Each student is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the student prefers math and enjoys poetry\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the student prefers math and enjoys poetry\", so look at the table to see how many students prefer math and enjoy poetry.\nThe number of students who prefer math and enjoy poetry is 6.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of students.\n6 + 3 + 2 + 6 = 17\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{6}{17}\nThe probability that a student prefers math and enjoys poetry is \\frac{6}{17}.", "answer": "6/17", "table": "| | Poetry | Student council |\n| --- | --- | --- |\n| Math | 6 | 2 |\n| Literature | 3 | 6 |" } ] }, { "id": "31101", "image": "31101.png", "conversations": [ { "from": "human", "question": "A gymnast jotted down the number of cartwheels she did each day. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 10, 10, 8, 9\n\nFirst, arrange the numbers from least to greatest:\n\n7, 8, 9, 10, 10\n\nNow find the number in the middle.\n\n7, 8, 9, 10, 10\n\nThe number in the middle is 9.\n\nThe median is 9.", "answer": "9", "table": "**Doing cartwheels**\n\n| Day | Number of cartwheels |\n| --- | --- |\n| Tuesday | 7 |\n| Wednesday | 10 |\n| Thursday | 10 |\n| Friday | 8 |\n| Saturday | 9 |" } ] }, { "id": "31103", "image": "31103.png", "conversations": [ { "from": "human", "question": "How much money does Ruben need to buy a white polo shirt and a white T-shirt?\n" }, { "from": "gpt", "solution": "Add the price of a white polo shirt and the price of a white T-shirt:\n\n$9.00 + $5.00 = $14.00\n\nRuben needs $14.00.", "answer": "14", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| white polo shirt | $9.00 |\n| red hat | $6.00 |\n| white T-shirt | $5.00 |\n| blue shirt | $2.00 |\n| striped scarf | $9.00 |\n| pair of shorts | $8.00 |" } ] }, { "id": "31117", "image": "31117.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{10 - 1}{13 - 12}\n = \\frac{9}{1}\n = 9\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{19 - 1}{14 - 12}\n = \\frac{18}{2}\n = 9\nThe two rates of change are the same.\nIf you checked the rate of change between rows 2 and 3, you would find that it is also 9.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 12 | 1 |\n| 13 | 10 |\n| 14 | 19 |" } ] }, { "id": "31141", "image": "31141.png", "conversations": [ { "from": "human", "question": "The Booneville Symphony categorizes its donors as gold, silver, or bronze depending on the amount donated. What fraction of donors are at the bronze level? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many donors are at the bronze level.\n\n96\n\nFind how many donors there are in total.\n\n78 + 96 + 49 = 223\n\nDivide 96 by223.\n\n\\frac{96}{223}\n\n\\frac{96}{223} of donors are at the bronze level.", "answer": "96/223", "table": "**Donor levels**\n\n| Donation level | Number of donors |\n| --- | --- |\n| Gold | 78 |\n| Bronze | 96 |\n| Silver | 49 |" } ] }, { "id": "31153", "image": "31153.png", "conversations": [ { "from": "human", "question": "A newspaper researched how many grocery stores there are in each town. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n4, 6, 6, 9, 6\n\nFirst, find the greatest number. The greatest number is 9.\n\nNext, find the least number. The least number is 4.\n\nSubtract the least number from the greatest number:\n\n9 − 4 = 5\n\nThe range is 5.", "answer": "5", "table": "**Grocery stores in each town**\n\n| Town | Number of stores |\n| --- | --- |\n| Greenwood | 4 |\n| Watertown | 6 |\n| Springfield | 6 |\n| Chesterton | 9 |\n| Mayfield | 6 |" } ] }, { "id": "31158", "image": "31158.png", "conversations": [ { "from": "human", "question": "The Belmont Public Library serves a diverse community and has a foreign language section catering to non-English speakers. What fraction of foreign language books are in Vietnamese? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many foreign language books are in Vietnamese.\n\n820\n\nFind how many foreign language books there are in total.\n\n630 + 820 + 410 + 910 = 2,770\n\nDivide 820 by2,770.\n\n\\frac{820}{2,770}\n\nReduce the fraction.\n\n\\frac{820}{2,770} → \\frac{82}{277}\n\n\\frac{82}{277} of foreign language books are in Vietnamese.", "answer": "82/277", "table": "**Foreign language books**\n\n| Language | Number of books |\n| --- | --- |\n| Hindi | 630 |\n| Vietnamese | 820 |\n| Arabic | 410 |\n| Japanese | 910 |" } ] }, { "id": "31160", "image": "31160.png", "conversations": [ { "from": "human", "question": "How much money does Leslie need to buy a piece of smoky quartz and a piece of black obsidian?\n" }, { "from": "gpt", "solution": "Add the price of a piece of smoky quartz and the price of a piece of black obsidian:\n\n$0.05 + $0.01 = $0.06\n\nLeslie needs $0.06.", "answer": "0.06", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| piece of black obsidian | $0.01 |\n| piece of smoky quartz | $0.05 |\n| piece of copper | $0.01 |\n| pumice stone | $0.06 |" } ] }, { "id": "31161", "image": "31161.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does the weather demonstration end?\n" }, { "from": "gpt", "solution": "Find the weather demonstration on the schedule. Find the end time for the weather demonstration.\n\nweather demonstration: 10:05 A. M.", "answer": "10:05 A.M.", "table": "**Science museum schedule**\n\n| Event | Begin | End |\n| --- | --- | --- |\n| weather demonstration | 9:20 A.M. | 10:05 A.M. |\n| medicine lecture | 9:50 A.M. | 11:10 A.M. |\n| nutrition lecture | 10:55 A.M. | 12:15 P.M. |\n| reptile show | 11:35 A.M. | 12:20 P.M. |\n| engine demonstration | 11:50 A.M. | 12:45 P.M. |\n| electricity demonstration | 12:25 P.M. | 1:25 P.M. |\n| gravity lecture | 12:55 P.M. | 2:50 P.M. |" } ] }, { "id": "31163", "image": "31163.png", "conversations": [ { "from": "human", "question": "Gordon has $0.03. Does he have enough to buy a piece of striped paper and a sheet of green paper?\n" }, { "from": "gpt", "solution": "Add the price of a piece of striped paper and the price of a sheet of green paper:\n\n$0.02 + $0.02 = $0.04\n\n$0.04 is more than $0.03. Gordon does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| purple envelope | $0.06 |\n| pale purple note card | $0.07 |\n| sheet of green paper | $0.02 |\n| piece of striped paper | $0.02 |\n| sheet of blue and yellow paper | $0.02 |\n| orange envelope | $0.09 |" } ] }, { "id": "31170", "image": "31170.png", "conversations": [ { "from": "human", "question": "An actor was informed how many fan letters he received each day. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 9, 3, 4, 6, 7\n\nFirst, count how many numbers are in the group.\n\nThere are 6 numbers.\n\nNow add all the numbers together:\n\n7 + 9 + 3 + 4 + 6 + 7 = 36\n\nNow divide the sum by the number of numbers:\n\n36 ÷ 6 = 6\n\nThe mean is 6.", "answer": "6", "table": "**Fan letters received**\n\n| Day | Number of fan letters |\n| --- | --- |\n| Monday | 7 |\n| Tuesday | 9 |\n| Wednesday | 3 |\n| Thursday | 4 |\n| Friday | 6 |\n| Saturday | 7 |" } ] }, { "id": "31186", "image": "31186.png", "conversations": [ { "from": "human", "question": "The newspaper photographer logged how many pictures she had taken during the past 4 days. On which day did the photographer take the fewest pictures?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 913.\n\nNow find the corresponding day. Sunday corresponds to 913.", "answer": "Sunday", "table": "**Pictures taken**\n\n| Day | Number of pictures |\n| --- | --- |\n| Saturday | 931 |\n| Sunday | 913 |\n| Monday | 939 |\n| Tuesday | 991 |" } ] }, { "id": "31192", "image": "31192.png", "conversations": [ { "from": "human", "question": "Deb wants to buy 3.2 pounds of Manila scrap. How much will she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the Manila scrap. Multiply the price per pound by the number of pounds.\n$2 × 3.2 = $6.40\nShe will spend $6.40.", "answer": "6.40", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| parchment scrap | $1 per pound |\n| Manila scrap | $2 per pound |\n| vellum scrap | $1 per pound |\n| linen scrap | $2 per pound |" } ] }, { "id": "31193", "image": "31193.png", "conversations": [ { "from": "human", "question": "A restaurant's average food preparation time was tracked from day to day as part of an efficiency improvement program. According to the table, what was the rate of change between Wednesday and Thursday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{39 minutes - 45 minutes}{1 day}\n = \\frac{-6 minutes}{1 day}\n = -6 minutes per day\nThe rate of change between Wednesday and Thursday was - 6 minutes per day.", "answer": "-6", "table": "**Average food preparation time**\n\n| Day | Food preparation time (minutes) |\n| --- | --- |\n| Tuesday | 38 |\n| Wednesday | 45 |\n| Thursday | 39 |\n| Friday | 40 |\n| Saturday | 49 |" } ] }, { "id": "31196", "image": "31196.png", "conversations": [ { "from": "human", "question": "In considering whether to open a new branch, the city council examined the number of times some typical residents went to the library last month. How many people went to the library at least 4 times last month?\n" }, { "from": "gpt", "solution": "Find the rows for 4, 5, and 6 times last month. Add the frequencies for these rows.\n\nAdd:\n\n18 + 13 + 19 = 50\n\n50 people went to the library at least 4 times last month.", "answer": "50", "table": "**Going to the library last month**\n\n| Number of trips | Frequency |\n| --- | --- |\n| 1 | 16 |\n| 2 | 17 |\n| 3 | 8 |\n| 4 | 18 |\n| 5 | 13 |\n| 6 | 19 |" } ] }, { "id": "31202", "image": "31202.png", "conversations": [ { "from": "human", "question": "The houses in Kinsley's town get their water from a local reservoir. Kinsley and a group of engineers monitor the water level for safety and health reasons. The change in water level over two months is shown in the table. During which month did the water level change more?\n" }, { "from": "gpt", "solution": "A positive change means the water level went up. A negative change means the water level went down.\nTo find the month the water level changed more, use absolute value. Absolute value tells you how much the water level changed each month.\nApril: |-6| = 6\nMay: |4| = 4\nThe water level went down 6 inches in April, and it only went up 4 inches in May. The water level changed more in April.", "answer": "April", "table": "| Month | Change in water level (in.) |\n| --- | --- |\n| April | -6 |\n| May | 4 |" } ] }, { "id": "31205", "image": "31205.png", "conversations": [ { "from": "human", "question": "Carmen, an aspiring meteorologist, spent the past few weekends studying the clouds. She took detailed notes on the types of clouds observed and the time of day they were observed. What is the probability that a randomly selected cloud was marked as stratocumulus and was observed in the morning? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the cloud was marked as stratocumulus\" and B be the event \"the cloud was observed in the morning\".\nTo find the probability that a cloud was marked as stratocumulus and was observed in the morning, first identify the sample space and the event.\nThe outcomes in the sample space are the different clouds. Each cloud is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the cloud was marked as stratocumulus and was observed in the morning\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the cloud was marked as stratocumulus and was observed in the morning\", so look at the table to see how many clouds were marked as stratocumulus and were observed during the morning.\nThe number of clouds that were marked as stratocumulus and were observed during the morning is 2.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of clouds.\n2 + 3 + 4 + 3 = 12\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{2}{12}\n = \\frac{1}{6}\nThe probability that a cloud was marked as stratocumulus and was observed in the morning is \\frac{1}{6}.", "answer": "1/6", "table": "| | Morning | Afternoon |\n| --- | --- | --- |\n| Stratocumulus | 2 | 4 |\n| Stratus | 3 | 3 |" } ] }, { "id": "31213", "image": "31213.png", "conversations": [ { "from": "human", "question": "Mariana purchased 3/10 of a kilogram of size 1 screws. What was the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the size 1 screws. Multiply the price per kilogram by the number of kilograms.\n$3 × \\frac{3}{10} = $3 × 0.3 = $0.90\nThe total cost was $0.90.", "answer": "0.90", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| size 4 screws | $4/kilogram |\n| size 6 screws | $4/kilogram |\n| size 5 screws | $4/kilogram |\n| size 1 screws | $3/kilogram |\n| size 3 screws | $3/kilogram |" } ] }, { "id": "31216", "image": "31216.png", "conversations": [ { "from": "human", "question": "A girl compared the ages of her cousins. Which cousin is the youngest?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 13.\n\nNow find the corresponding name. Wayne corresponds to 13.", "answer": "Wayne", "table": "**Ages of cousins**\n\n| Name | Age (years) |\n| --- | --- |\n| Nolan | 14 |\n| Wayne | 13 |\n| Tessa | 18 |\n| Eva | 15 |" } ] }, { "id": "31218", "image": "31218.png", "conversations": [ { "from": "human", "question": "Each roof has 10 seagulls. How many seagulls are on 3 roofs?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 30 seagulls on 3 roofs.", "answer": "30", "table": "| Number of roofs | Number of seagulls |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | ? |" } ] }, { "id": "31227", "image": "31227.png", "conversations": [ { "from": "human", "question": "How much more does a cucumber cost than a red pepper?\n" }, { "from": "gpt", "solution": "Subtract the price of a red pepper from the price of a cucumber.\n\n$1.50 - $1.45 = $0.05\n\nA cucumber costs $0.05 more than a red pepper.", "answer": "0.05", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| red pepper | $1.45 |\n| pumpkin | $4.29 |\n| yellow pepper | $1.23 |\n| cucumber | $1.50 |\n| grapefruit | $1.16 |\n| watermelon | $3.89 |" } ] }, { "id": "31230", "image": "31230.png", "conversations": [ { "from": "human", "question": "Brad's classmates revealed how many science articles they read. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 9, 10, 4, 2, 10, 9, 3\n\nFirst, find the greatest number. The greatest number is 10.\n\nNext, find the least number. The least number is 2.\n\nSubtract the least number from the greatest number:\n\n10 − 2 = 8\n\nThe range is 8.", "answer": "8", "table": "**Science articles read**\n\n| Name | Number of science articles |\n| --- | --- |\n| Brad | 7 |\n| Nancy | 9 |\n| Keith | 10 |\n| Erica | 4 |\n| Joey | 2 |\n| Dillon | 10 |\n| Pamela | 9 |\n| Gabriel | 3 |" } ] }, { "id": "31231", "image": "31231.png", "conversations": [ { "from": "human", "question": "How much money does Alvin need to buy a small stuffed otter, a palm tree magnet, and a souvenir spoon?\n" }, { "from": "gpt", "solution": "Find the total cost of a small stuffed otter, a palm tree magnet, and a souvenir spoon.\n\n$0.47 + $0.99 + $0.23 = $1.69\n\nAlvin needs $1.69.", "answer": "1.69", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| souvenir spoon | $0.23 |\n| palm tree magnet | $0.99 |\n| beach postcard | $0.19 |\n| small stuffed otter | $0.47 |\n| shell necklace | $0.72 |\n| souvenir thimble | $0.66 |" } ] }, { "id": "31232", "image": "31232.png", "conversations": [ { "from": "human", "question": "How much money does Quinn need to buy a package of oatmeal cookies and 4 bags of walnuts?\n" }, { "from": "gpt", "solution": "Find the cost of 4 bags of walnuts.\n\n$2.81 × 4 = $11.24\n\nNow find the total cost.\n\n$4.63 + $11.24 = $15.87\n\nQuinn needs $15.87.", "answer": "15.87", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| package of oatmeal cookies | $4.63 |\n| frozen pizza | $5.33 |\n| bag of flour | $2.68 |\n| bag of walnuts | $2.81 |" } ] }, { "id": "31233", "image": "31233.png", "conversations": [ { "from": "human", "question": "An editor of the school yearbook asked some fourth and fifth graders what their favorite subjects were. How many more students voted for science than history?\n" }, { "from": "gpt", "solution": "Add the numbers in the Science row. Then, add the numbers in the History row.\n\nscience: 12 + 14 = 26\nhistory: 19 + 1 = 20\n\nNow subtract:\n\n26 − 20 = 6\n\n6 more students voted for science than history.", "answer": "6", "table": "**Favorite subjects**\n\n| Subject | Fourth graders | Fifth graders |\n| --- | --- | --- |\n| Reading | 15 | 5 |\n| History | 19 | 1 |\n| Science | 12 | 14 |\n| Math | 14 | 4 |" } ] }, { "id": "31238", "image": "31238.png", "conversations": [ { "from": "human", "question": "Sharon buys 4/5 of a pound of scallops. How much does she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the scallops. Multiply the price per pound by the number of pounds.\n$9 × \\frac{4}{5} = $9 × 0.8 = $7.20\nShe spends $7.20.", "answer": "7.20", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| shrimp | $7 per pound |\n| lobster meat | $12 per pound |\n| oysters | $6 per pound |\n| mussels | $10 per pound |\n| crab meat | $9 per pound |\n| scallops | $9 per pound |" } ] }, { "id": "31240", "image": "31240.png", "conversations": [ { "from": "human", "question": "The Hall Skating Rink counted the number of times people went ice skating last winter to see what types of discount passes it should offer this season. How many people went ice skating exactly 5 times last winter?\n" }, { "from": "gpt", "solution": "Find the row for 5 times and read the frequency. The frequency is 2.\n\n2 people went ice skating exactly 5 times last winter.", "answer": "2", "table": "**Ice skating last winter**\n\n| Number of times | Frequency |\n| --- | --- |\n| 1 | 14 |\n| 2 | 16 |\n| 3 | 3 |\n| 4 | 8 |\n| 5 | 2 |" } ] }, { "id": "31244", "image": "31244.png", "conversations": [ { "from": "human", "question": "Bella counted all the beads in each necklace at the jewelry store where she works. What is the largest number of beads?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 9.\n\nNow find the highest leaf in the last row. The highest leaf is 0.\n\nThe largest number of beads has a stem of 9 and a leaf of 0. Write the stem first, then the leaf: 90.\n\nThe largest number of beads is 90 beads.", "answer": "90", "table": "**Beads per necklace**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 4, 4, 7, 8 |\n| 2 | 2, 4, 7 |\n| 3 | 0, 2, 8 |\n| 4 | 1, 7 |\n| 5 | 6, 8, 8 |\n| 6 | |\n| 7 | 5, 9 |\n| 8 | 1, 1, 7, 8 |\n| 9 | 0 |" } ] }, { "id": "31251", "image": "31251.png", "conversations": [ { "from": "human", "question": "If Luther buys 1 pound of raspberry yogurt and 1 pound of low-fat yogurt, how much will he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the raspberry yogurt. Multiply:\n\n$3.20 × 1 = $3.20\n\nFind the cost of the low-fat yogurt. Multiply:\n\n$3.39 × 1 = $3.39\n\nNow find the total cost by adding:\n\n$3.20 + $3.39 = $6.59\n\nHe will spend $6.59.", "answer": "6.59", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| low-fat yogurt | $3.39 per pound |\n| blueberry yogurt | $2.31 per pound |\n| non-fat yogurt | $2.15 per pound |\n| strawberry yogurt | $3.50 per pound |\n| raspberry yogurt | $3.20 per pound |" } ] }, { "id": "31256", "image": "31256.png", "conversations": [ { "from": "human", "question": "An author kept a log of how many pages he wrote in the past 7 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n1, 9, 1, 1, 6, 7, 5\n\nFirst, arrange the numbers from least to greatest:\n\n1, 1, 1, 5, 6, 7, 9\n\nNow find the number in the middle.\n\n1, 1, 1, 5, 6, 7, 9\n\nThe number in the middle is 5.\n\nThe median is 5.", "answer": "5", "table": "**Pages written**\n\n| Day | Number of pages |\n| --- | --- |\n| Saturday | 1 |\n| Sunday | 9 |\n| Monday | 1 |\n| Tuesday | 1 |\n| Wednesday | 6 |\n| Thursday | 7 |\n| Friday | 5 |" } ] }, { "id": "31259", "image": "31259.png", "conversations": [ { "from": "human", "question": "While doing a project for P. E. class, Mariana researched the number of athletes competing in an international sporting event. How many countries have fewer than 40 athletes?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 0, 1, 2, and 3.\n\nYou counted 10 leaves, which are blue in the stem-and-leaf plot above. 10 countries have fewer than 40 athletes.", "answer": "10", "table": "**Athletes per country**\n\n| Stem | Leaf |\n| --- | --- |\n| 0 | 6, 9 |\n| 1 | 3, 4, 9, 9 |\n| 2 | 5, 8 |\n| 3 | 1, 3 |\n| 4 | 1, 9 |\n| 5 | 1 |\n| 6 | 0, 8 |\n| 7 | 6 |\n| 8 | 3, 9 |" } ] }, { "id": "31268", "image": "31268.png", "conversations": [ { "from": "human", "question": "This table shows Mitch's May budget. What could Mitch do to balance his budget?\n" }, { "from": "gpt", "solution": "Step 1: Find how much money Mitch needs to balance his budget.\nFirst, add Mitch's sources of income to find his total income.\n$20 + $35 + $105 = $160\nNext, add Mitch's expenses to find his total expenses.\n$40 + $45 + $100 = $185\nMitch's expenses are more than his income. Subtract to find the difference.\n$185 - $160 = $25\nThe difference is $25, so Mitch needs an extra $25 to balance his budget.\nStep 2: Find the answer choice that gives Mitch an extra $25.\nDecreasing his expenses by $25 will give Mitch the extra money he needs.\nSo, Mitch can balance his budget by putting $25 less in his savings account.", "answer": "put $25 less in his savings account", "table": "**Mitch's May budget**\n\n| Income | Expenses |\n| --- | --- |\n| Mowing lawns: $20 | Gifts for Mom and Nana: $40 |\n| Babysitting: $35 | Gas money: $45 |\n| Bagging groceries at Hall's Market: $105 | Savings account: $100 |" } ] }, { "id": "31284", "image": "31284.png", "conversations": [ { "from": "human", "question": "A Girl Scout troop recorded how many boxes of cookies they sold each day for a week. According to the table, what was the rate of change between Wednesday and Thursday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{34 boxes - 38 boxes}{1 day}\n = \\frac{-4 boxes}{1 day}\n = -4 boxes per day\nThe rate of change between Wednesday and Thursday was - 4 boxes per day.", "answer": "-4", "table": "**Boxes of Girl Scout cookies sold**\n\n| Day | Boxes of cookies |\n| --- | --- |\n| Monday | 38 |\n| Tuesday | 41 |\n| Wednesday | 38 |\n| Thursday | 34 |\n| Friday | 36 |" } ] }, { "id": "31298", "image": "31298.png", "conversations": [ { "from": "human", "question": "A baker wrote down how many pies she made in the past 5 days. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 1, 8, 7, 2\n\nFirst, count how many numbers are in the group.\n\nThere are 5 numbers.\n\nNow add all the numbers together:\n\n7 + 1 + 8 + 7 + 2 = 25\n\nNow divide the sum by the number of numbers:\n\n25 ÷ 5 = 5\n\nThe mean is 5.", "answer": "5", "table": "**Pies baked**\n\n| Day | Number of pies |\n| --- | --- |\n| Sunday | 7 |\n| Monday | 1 |\n| Tuesday | 8 |\n| Wednesday | 7 |\n| Thursday | 2 |" } ] }, { "id": "31304", "image": "31304.png", "conversations": [ { "from": "human", "question": "Maura kept track of the number of games her soccer team won each year. According to the table, what was the rate of change between 2017 and 2018?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{8 games - 50 games}{2018 - 2017}\n = \\frac{8 games - 50 games}{1 year}\n = \\frac{-42 games}{1 year}\n = -42 games per year\nThe rate of change between 2017 and 2018 was - 42 games per year.", "answer": "-42", "table": "**Games won by Maura's soccer team**\n\n| Year | Games won |\n| --- | --- |\n| 2017 | 50 |\n| 2018 | 8 |\n| 2019 | 30 |\n| 2020 | 46 |\n| 2021 | 26 |" } ] }, { "id": "31308", "image": "31308.png", "conversations": [ { "from": "human", "question": "Betty has $12,124.00. Does she have enough to buy a designer handbag and a pair of designer shoes?\n" }, { "from": "gpt", "solution": "Add the price of a designer handbag and the price of a pair of designer shoes:\n\n$6,415.00 + $6,280.00 = $12,695.00\n\n$12,695.00 is more than $12,124.00. Betty does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| designer ball gown | $1,547.00 |\n| pair of designer boots | $6,544.00 |\n| pair of designer shoes | $6,280.00 |\n| designer watch | $1,574.00 |\n| designer coat | $4,273.00 |\n| designer handbag | $6,415.00 |" } ] }, { "id": "31310", "image": "31310.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $1,000, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $1,000, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $830 | 11,200 | 3,000 |\n| $1,000 | 10,900 | 6,700 |\n| $1,170 | 10,600 | 10,400 |\n| $1,340 | 10,300 | 14,100 |\n| $1,510 | 10,000 | 17,800 |" } ] }, { "id": "31311", "image": "31311.png", "conversations": [ { "from": "human", "question": "The movie critic liked to count the number of actors in each movie she saw. What is the largest number of actors?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 9.\n\nNow find the highest leaf in the last row. The highest leaf is 0.\n\nThe largest number of actors has a stem of 9 and a leaf of 0. Write the stem first, then the leaf: 90.\n\nThe largest number of actors is 90 actors.", "answer": "90", "table": "**Actors per movie**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 6 |\n| 2 | 3 |\n| 3 | 7, 8 |\n| 4 | 1, 2, 4 |\n| 5 | 5, 6 |\n| 6 | 0, 1 |\n| 7 | |\n| 8 | 5, 5 |\n| 9 | 0 |" } ] }, { "id": "31314", "image": "31314.png", "conversations": [ { "from": "human", "question": "Lindsey measured the length of each scarf in the clothing store where she works. How many scarves are at least 60 centimeters but less than 80 centimeters?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 6 and 7.\n\nYou counted 12 leaves, which are blue in the stem-and-leaf plot above. 12 scarves are at least 60 centimeters but less than 80 centimeters.", "answer": "12", "table": "**Scarf lengths (centimeters)**\n\n| Stem | Leaf |\n| --- | --- |\n| 6 | 9, 9 |\n| 7 | 0, 2, 3, 4, 4, 4, 7, 7, 9, 9 |\n| 8 | 0, 2, 9 |\n| 9 | 0 |" } ] }, { "id": "31318", "image": "31318.png", "conversations": [ { "from": "human", "question": "The players on a quiz show received the following scores. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n8, 1, 3, 6, 4, 6, 7, 2\n\nFirst, find the greatest number. The greatest number is 8.\n\nNext, find the least number. The least number is 1.\n\nSubtract the least number from the greatest number:\n\n8 − 1 = 7\n\nThe range is 7.", "answer": "7", "table": "**Quiz show scores**\n\n| Name | Score |\n| --- | --- |\n| Roger | 8 |\n| Samantha | 1 |\n| Xavier | 3 |\n| Wanda | 6 |\n| Bill | 4 |\n| Leon | 6 |\n| Oscar | 7 |\n| Dalton | 2 |" } ] }, { "id": "31319", "image": "31319.png", "conversations": [ { "from": "human", "question": "Polly went to the store and bought 2 kilograms of white chocolate chips and 5 kilograms of dark chocolate chips. How much did she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the white chocolate chips. Multiply:\n\n$1.11 × 2 = $2.22\n\nFind the cost of the dark chocolate chips. Multiply:\n\n$1.02 × 5 = $5.10\n\nNow find the total cost by adding:\n\n$2.22 + $5.10 = $7.32\n\nShe spent $7.32.", "answer": "7.32", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| dark chocolate chips | $1.02/kilogram |\n| butterscotch chips | $3.10/kilogram |\n| white chocolate chips | $1.11/kilogram |\n| milk chocolate chips | $2.96/kilogram |\n| semisweet chocolate chips | $2.31/kilogram |\n| peanut butter chips | $3.61/kilogram |" } ] }, { "id": "31322", "image": "31322.png", "conversations": [ { "from": "human", "question": "How much money does Savannah need to buy a hot plate and an incubator?\n" }, { "from": "gpt", "solution": "Add the price of a hot plate and the price of an incubator:\n\n$230 + $904 = $1,134\n\nSavannah needs $1,134.", "answer": "1,134", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| incubator | $904 |\n| laboratory freezer | $720 |\n| autoclave | $170 |\n| hot plate | $230 |" } ] }, { "id": "31327", "image": "31327.png", "conversations": [ { "from": "human", "question": "A pair of Sullivan High School hockey fans counted the number of games won by the school each year. According to the table, what was the rate of change between 2014 and 2015?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{1 game - 7 games}{2015 - 2014}\n = \\frac{1 game - 7 games}{1 year}\n = \\frac{-6 games}{1 year}\n = -6 games per year\nThe rate of change between 2014 and 2015 was - 6 games per year.", "answer": "-6", "table": "**Hockey games won by Sullivan High**\n\n| Year | Games won |\n| --- | --- |\n| 2013 | 5 |\n| 2014 | 7 |\n| 2015 | 1 |\n| 2016 | 9 |\n| 2017 | 10 |" } ] }, { "id": "31329", "image": "31329.png", "conversations": [ { "from": "human", "question": "A charity recorded how many donations it received each month. In which month did the charity receive the fewest donations?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 812.\n\nNow find the corresponding month. November corresponds to 812.", "answer": "November", "table": "**Charity donations**\n\n| Month | Number of donations |\n| --- | --- |\n| August | 821 |\n| September | 881 |\n| October | 828 |\n| November | 812 |" } ] }, { "id": "31333", "image": "31333.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{14 - 15}{2 - 1}\n = \\frac{-1}{1}\n = -1\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{4 - 15}{3 - 1}\n = \\frac{-11}{2}\n = -5\\frac{1}{2}\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 1 | 15 |\n| 2 | 14 |\n| 3 | 4 |" } ] }, { "id": "31334", "image": "31334.png", "conversations": [ { "from": "human", "question": "A volunteer for the local running club counted the number of participants at each race. How many races had at least 30 participants but fewer than 60 participants?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 3, 4, and 5.\n\nYou counted 6 leaves, which are blue in the stem-and-leaf plot above. 6 races had at least 30 participants but fewer than 60 participants.", "answer": "6", "table": "**Participants per race**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 9 |\n| 3 | 4, 8 |\n| 4 | 2, 5, 6 |\n| 5 | 9 |\n| 6 | 5, 8 |\n| 7 | 1, 4, 7 |\n| 8 | 0, 3, 7 |" } ] }, { "id": "31335", "image": "31335.png", "conversations": [ { "from": "human", "question": "Pete has $117.00. How much money will Pete have left if he buys a blue sweater and a pair of brown pants?\n" }, { "from": "gpt", "solution": "Find the total cost of a blue sweater and a pair of brown pants.\n\n$12.00 + $18.00 = $30.00\n\nNow subtract the total cost from the starting amount.\n\n$117.00 - $30.00 = $87.00\n\nPete will have $87.00 left.", "answer": "87", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| blue sweater | $12.00 |\n| gray sweatshirt | $11.00 |\n| winter jacket | $45.00 |\n| pair of brown pants | $18.00 |" } ] }, { "id": "31337", "image": "31337.png", "conversations": [ { "from": "human", "question": "Robert entered his sister into their town's Smelly Shoe Competition. Robert observed contestants of all ages proudly strutting around wearing different kinds of smelly shoes. What is the probability that a randomly selected contestant is wearing high heels and is under age 12? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the contestant is wearing high heels\" and B be the event \"the contestant is under age 12\".\nTo find the probability that a contestant is wearing high heels and is under age 12, first identify the sample space and the event.\nThe outcomes in the sample space are the different contestants. Each contestant is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the contestant is wearing high heels and is under age 12\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the contestant is wearing high heels and is under age 12\", so look at the table to see how many contestants are wearing high heels and are under age 12.\nThe number of contestants who are wearing high heels and are under age 12 is 3.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of contestants.\n4 + 3 + 5 + 7 = 19\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{3}{19}\nThe probability that a contestant is wearing high heels and is under age 12 is \\frac{3}{19}.", "answer": "3/19", "table": "| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| | Under age 12 | 13 to 30 years old |\n| Tennis shoes | 4 | 5 |\n| High heels | 3 | 7 |" } ] }, { "id": "31347", "image": "31347.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{11 - 5}{6 - 5}\n = \\frac{6}{1}\n = 6\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{17 - 5}{7 - 5}\n = \\frac{12}{2}\n = 6\nThe two rates of change are the same.\nIf you checked the rate of change between rows 2 and 3, you would find that it is also 6.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 5 | 5 |\n| 6 | 11 |\n| 7 | 17 |" } ] }, { "id": "31350", "image": "31350.png", "conversations": [ { "from": "human", "question": "How much money does Gabrielle need to buy 2 bowls of cereal and 9 egg sandwiches?\n" }, { "from": "gpt", "solution": "Find the cost of 2 bowls of cereal.\n\n$3.34 × 2 = $6.68\n\nFind the cost of 9 egg sandwiches.\n\n$6.78 × 9 = $61.02\n\nNow find the total cost.\n\n$6.68 + $61.02 = $67.70\n\nGabrielle needs $67.70.", "answer": "67.70", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| blueberry pancakes | $5.42 |\n| hash browns | $4.34 |\n| bowl of cereal | $3.34 |\n| egg sandwich | $6.78 |" } ] }, { "id": "31352", "image": "31352.png", "conversations": [ { "from": "human", "question": "Reba buys 3 kilograms of low-fat yogurt and 5 kilograms of plain yogurt. How much does she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the low-fat yogurt. Multiply:\n\n$1.44 × 3 = $4.32\n\nFind the cost of the plain yogurt. Multiply:\n\n$0.58 × 5 = $2.90\n\nNow find the total cost by adding:\n\n$4.32 + $2.90 = $7.22\n\nShe spends $7.22.", "answer": "7.22", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| raspberry yogurt | $0.73 per kilogram |\n| low-fat yogurt | $1.44 per kilogram |\n| blueberry yogurt | $0.96 per kilogram |\n| plain yogurt | $0.58 per kilogram |" } ] }, { "id": "31363", "image": "31363.png", "conversations": [ { "from": "human", "question": "Each year the Kingwood School District publishes its annual budget, which includes information on the sports program's per-student spending. According to the table, what was the rate of change between 2012 and 2013?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{$36 - $29}{2013 - 2012}\n = \\frac{$36 - $29}{1 year}\n = \\frac{$7}{1 year}\n = $7 per year\nThe rate of change between 2012 and 2013 was $7 per year.", "answer": "7", "table": "**Kingwood School District sports budget**\n\n| Year | Per-student budget |\n| --- | --- |\n| 2010 | $39 |\n| 2011 | $35 |\n| 2012 | $29 |\n| 2013 | $36 |\n| 2014 | $36 |" } ] }, { "id": "31376", "image": "31376.png", "conversations": [ { "from": "human", "question": "A soccer coach asked the members of her team how many times they played soccer last week. How many people played soccer fewer than 3 times?\n" }, { "from": "gpt", "solution": "Find the rows for 0, 1, and 2 times. Add the frequencies for these rows.\n\nAdd:\n\n19 + 15 + 20 = 54\n\n54 people played soccer fewer than 3 times.", "answer": "54", "table": "**Playing soccer last week**\n\n| Times played | Frequency |\n| --- | --- |\n| 0 | 19 |\n| 1 | 15 |\n| 2 | 20 |\n| 3 | 6 |\n| 4 | 13 |\n| 5 | 12 |" } ] }, { "id": "31388", "image": "31388.png", "conversations": [ { "from": "human", "question": "Arlington Flooring tracked the number of broken tiles in each shipment it received last year. How many shipments had less than 77 broken tiles?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 3, 4, 5, and 6.\n\nIn the row with stem 7, count all the leaves less than 7.\n\nYou counted 16 leaves, which are blue in the stem-and-leaf plots above. 16 shipments had less than 77 broken tiles.", "answer": "16", "table": "**Broken tiles per shipment**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 5 |\n| 4 | 0, 1, 5, 6, 7 |\n| 5 | 0, 3, 7 |\n| 6 | 0, 0, 2, 2, 5, 9 |\n| 7 | 1, 8, 9 |\n| 8 | 2, 4, 7 |\n| 9 | 0, 0 |" } ] }, { "id": "31393", "image": "31393.png", "conversations": [ { "from": "human", "question": "The soccer coach is preparing for the upcoming season by seeing how many goals his team members scored last season. How many team members did not score a goal last season?\n" }, { "from": "gpt", "solution": "Find the row for 0 goals last season and read the frequency. The frequency is 3.\n\n3 team members members did not score a goal last season.", "answer": "3", "table": "**Soccer goals last season**\n\n| Goals scored | Frequency |\n| --- | --- |\n| 0 | 3 |\n| 1 | 7 |\n| 2 | 14 |\n| 3 | 8 |\n| 4 | 16 |\n| 5 | 4 |" } ] }, { "id": "31395", "image": "31395.png", "conversations": [ { "from": "human", "question": "Jeanette's classmates recorded how many books they read last year. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n30, 49, 35, 41, 35, 49, 36, 42\n\nFirst, find the greatest number. The greatest number is 49.\n\nNext, find the least number. The least number is 30.\n\nSubtract the least number from the greatest number:\n\n49 − 30 = 19\n\nThe range is 19.", "answer": "19", "table": "**Books read**\n\n| Name | Number of books |\n| --- | --- |\n| Jeanette | 30 |\n| Shivani | 49 |\n| Martha | 35 |\n| Paula | 41 |\n| Cara | 35 |\n| Larry | 49 |\n| Natalie | 36 |\n| Alexandra | 42 |" } ] }, { "id": "31396", "image": "31396.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{9 - 7}{10 - 9}\n = \\frac{2}{1}\n = 2\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{10 - 9}{11 - 10}\n = \\frac{1}{1}\n = 1\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 9 | 7 |\n| 10 | 9 |\n| 11 | 10 |" } ] }, { "id": "31403", "image": "31403.png", "conversations": [ { "from": "human", "question": "A farmer wrote down how many kilograms of cherries were sold in the past 4 days. How many more kilograms of cherries were sold on Tuesday than on Monday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nTuesday: 844\nMonday: 101\n\nNow subtract: 844 - 101 = 743.\n\n743 more kilograms of cherries were sold on Tuesday.", "answer": "743", "table": "**Cherries sold**\n\n| Day | Kilograms |\n| --- | --- |\n| Sunday | 201 |\n| Monday | 101 |\n| Tuesday | 844 |\n| Wednesday | 305 |" } ] }, { "id": "31409", "image": "31409.png", "conversations": [ { "from": "human", "question": "Devon looked at her calendar to figure out how much time she spent babysitting each month. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n92, 91, 91, 91, 89\n\nFirst, arrange the numbers from least to greatest:\n\n89, 91, 91, 91, 92\n\nNow find the number in the middle.\n\n89, 91, 91, 91, 92\n\nThe number in the middle is 91.\n\nThe median is 91.", "answer": "91", "table": "**Hours of babysitting**\n\n| Month | Hours |\n| --- | --- |\n| December | 92 |\n| January | 91 |\n| February | 91 |\n| March | 91 |\n| April | 89 |" } ] }, { "id": "31416", "image": "31416.png", "conversations": [ { "from": "human", "question": "Andy jotted down how many baskets he made during basketball practice each day. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 2, 10, 6, 7, 6\n\nFirst, find the greatest number. The greatest number is 10.\n\nNext, find the least number. The least number is 2.\n\nSubtract the least number from the greatest number:\n\n10 − 2 = 8\n\nThe range is 8.", "answer": "8", "table": "**Baskets made**\n\n| Day | Number of baskets |\n| --- | --- |\n| Sunday | 7 |\n| Monday | 2 |\n| Tuesday | 10 |\n| Wednesday | 6 |\n| Thursday | 7 |\n| Friday | 6 |" } ] }, { "id": "31417", "image": "31417.png", "conversations": [ { "from": "human", "question": "How much money does Jacob need to buy a python and an alpaca?\n" }, { "from": "gpt", "solution": "Add the price of a python and the price of an alpaca:\n\n$8,967.00 + $1,084.00 = $10,051.00\n\nJacob needs $10,051.00.", "answer": "10,051", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| macaw | $8,002.00 |\n| kinkajou | $2,479.00 |\n| python | $8,967.00 |\n| alpaca | $1,084.00 |" } ] }, { "id": "31423", "image": "31423.png", "conversations": [ { "from": "human", "question": "Each soccer field has 10 sprinklers. How many sprinklers are on 5 soccer fields?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 50 sprinklers on 5 soccer fields.", "answer": "50", "table": "| Number of soccer fields | Number of sprinklers |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | 40 |\n| 5 | ? |" } ] }, { "id": "31425", "image": "31425.png", "conversations": [ { "from": "human", "question": "Hazel has $71.00. Does she have enough to buy a photograph signed by a famous singer and a bat signed by a famous baseball player?\n" }, { "from": "gpt", "solution": "Add the price of a photograph signed by a famous singer and the price of a bat signed by a famous baseball player:\n\n$42.73 + $31.29 = $74.02\n\n$74.02 is more than $71.00. Hazel does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| DVD signed by a famous comedian | $99.01 |\n| jersey signed by a famous hockey player | $89.83 |\n| photograph signed by a famous singer | $42.73 |\n| bat signed by a famous baseball player | $31.29 |" } ] }, { "id": "31429", "image": "31429.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $20, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $20, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $20 | 17,000 | 18,600 |\n| $140 | 13,000 | 18,800 |\n| $260 | 9,000 | 19,000 |\n| $380 | 5,000 | 19,200 |\n| $500 | 1,000 | 19,400 |" } ] }, { "id": "31432", "image": "31432.png", "conversations": [ { "from": "human", "question": "As part of a statistics project, a math class weighed all the children who were willing to participate. What is the weight of the lightest child?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 2.\n\nNow find the lowest leaf in the first row. The lowest leaf is 1.\n\nThe weight of the lightest child has a stem of 2 and a leaf of 1. Write the stem first, then the leaf: 21.\n\nThe weight of the lightest child is 21 pounds.", "answer": "21", "table": "**Children's weights (lbs)**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 1, 2 |\n| 3 | 7, 9 |\n| 4 | 0, 4, 6, 8 |\n| 5 | 1, 2, 5, 6 |\n| 6 | 1, 1, 2, 5, 7, 8 |" } ] }, { "id": "31435", "image": "31435.png", "conversations": [ { "from": "human", "question": "Marco has $2.04. How much money will Marco have left if he buys a gift bag and a party hat?\n" }, { "from": "gpt", "solution": "Find the total cost of a gift bag and a party hat.\n\n$0.69 + $0.43 = $1.12\n\nNow subtract the total cost from the starting amount.\n\n$2.04 - $1.12 = $0.92\n\nMarco will have $0.92 left.", "answer": "0.92", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| kazoo | $0.50 |\n| greeting card | $0.98 |\n| gift bag | $0.69 |\n| plastic straw | $0.11 |\n| party hat | $0.43 |\n| red balloon | $0.10 |" } ] }, { "id": "31437", "image": "31437.png", "conversations": [ { "from": "human", "question": "For an economics project, Jayden determined the cost of ferry rides for bicycles and cars. Which charges less for a bicycle, the Ocracoke ferry or the Fauntleroy-Vashon ferry?\n" }, { "from": "gpt", "solution": "Find the Bicycle column. Compare the numbers in this column for Ocracoke and Fauntleroy-Vashon.\n\n$3.00 is less than $5.00. The Ocracoke ferry charges less for a bicycle.", "answer": "Ocracoke", "table": "**Ferry fares**\n\n| Ferry | Bicycle | Car |\n| --- | --- | --- |\n| Seattle-Bremerton | $8 | $12 |\n| Southport-Fort Fisher | $2 | $5 |\n| Ocracoke | $3 | $15 |\n| Fauntleroy-Vashon | $5 | $15 |" } ] }, { "id": "31439", "image": "31439.png", "conversations": [ { "from": "human", "question": "How much money does Gabe need to buy 7 books of crossword puzzles and 6 books of piano music?\n" }, { "from": "gpt", "solution": "Find the cost of 7 books of crossword puzzles.\n\n$2.55 × 7 = $17.85\n\nFind the cost of 6 books of piano music.\n\n$7.76 × 6 = $46.56\n\nNow find the total cost.\n\n$17.85 + $46.56 = $64.41\n\nGabe needs $64.41.", "answer": "64.41", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| magazine | $4.65 |\n| map of the world | $9.65 |\n| book of piano music | $7.76 |\n| math book | $8.03 |\n| book of crossword puzzles | $2.55 |\n| map of Canada | $6.27 |" } ] }, { "id": "31442", "image": "31442.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{9 - 19}{15 - 14}\n = \\frac{-10}{1}\n = -10\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{1 - 19}{16 - 14}\n = \\frac{-18}{2}\n = -9\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 14 | 19 |\n| 15 | 9 |\n| 16 | 1 |" } ] }, { "id": "31443", "image": "31443.png", "conversations": [ { "from": "human", "question": "How much money does Danielle need to buy 7 beach towels?\n" }, { "from": "gpt", "solution": "Find the total cost of 7 beach towels by multiplying 7 times the price of a beach towel.\n\n$10 × 7 = $70\n\nDanielle needs $70.", "answer": "70", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| beach towel | $10 |\n| quilt | $12 |\n| fleece blanket | $13 |\n| pillow | $15 |\n| navy blue bath mat | $17 |\n| flannel sheet | $10 |" } ] }, { "id": "31447", "image": "31447.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $410, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $410, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $230 | 19,100 | 7,200 |\n| $320 | 14,700 | 10,100 |\n| $410 | 10,300 | 13,000 |\n| $500 | 5,900 | 15,900 |\n| $590 | 1,500 | 18,800 |" } ] }, { "id": "31454", "image": "31454.png", "conversations": [ { "from": "human", "question": "Each tank has 2 orange fish. How many orange fish are in 6 tanks?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 12 orange fish in 6 tanks.", "answer": "12", "table": "| Number of tanks | Number of orange fish |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | 6 |\n| 4 | 8 |\n| 5 | 10 |\n| 6 | ? |" } ] }, { "id": "31457", "image": "31457.png", "conversations": [ { "from": "human", "question": "Administrators at several colleges compared the number of students enrolled in various classes. How many more students are enrolled in biochemistry at Great North College than at Robert Updike University?\n" }, { "from": "gpt", "solution": "Find the Biochemistry column. Find the numbers in this column for Great North College and Robert Updike University.\n\nGreat North College: 14\nRobert Updike University: 8\n\nNow subtract:\n\n14 − 8 = 6\n\n6 more students are enrolled in biochemistry at Great North College.", "answer": "6", "table": "**Class enrollment**\n\n| School | Chinese | Biochemistry |\n| --- | --- | --- |\n| Great North College | 18 | 14 |\n| Mariana University | 13 | 8 |\n| Robert Updike University | 11 | 8 |" } ] }, { "id": "31458", "image": "31458.png", "conversations": [ { "from": "human", "question": "A pet store owner had her staff count the number of fish in each tank. What is the largest number of fish per tank?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 9.\n\nNow find the highest leaf in the last row. The highest leaf is 0.\n\nThe largest number of fish per tank has a stem of 9 and a leaf of 0. Write the stem first, then the leaf: 90.\n\nThe largest number of fish per tank is 90 fish.", "answer": "90", "table": "**Fish per tank**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 0 |\n| 2 | 3, 6, 9 |\n| 3 | 7 |\n| 4 | 0, 1, 1, 3, 4, 4, 6, 7, 7, 7 |\n| 5 | 6 |\n| 6 | 0, 2, 8 |\n| 7 | |\n| 8 | 3, 7 |\n| 9 | 0 |" } ] }, { "id": "31460", "image": "31460.png", "conversations": [ { "from": "human", "question": "How much more does a night's stay at Grand Mountain Inn cost than a night's stay at Summit Hotel and Spa?\n" }, { "from": "gpt", "solution": "Subtract the price of a night's stay at Summit Hotel and Spa from the price of a night's stay at Grand Mountain Inn.\n\n$457.00 - $234.00 = $223.00\n\nA night's stay at Grand Mountain Inn costs $223.00 more than a night's stay at Summit Hotel and Spa.", "answer": "223", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| night's stay at Summit Hotel and Spa | $234.00 |\n| night's stay at Daybreak Motel | $117.00 |\n| night's stay at Grand Mountain Inn | $457.00 |\n| night's stay at Quiet Harbor Motel | $327.00 |" } ] }, { "id": "31463", "image": "31463.png", "conversations": [ { "from": "human", "question": "The financial aid office at Massey University produced an internal report on the number of students receiving scholarships. According to the table, what was the rate of change between 2010 and 2011?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{20 students - 24 students}{2011 - 2010}\n = \\frac{20 students - 24 students}{1 year}\n = \\frac{-4 students}{1 year}\n = -4 students per year\nThe rate of change between 2010 and 2011 was - 4 students per year.", "answer": "-4", "table": "**Students receiving scholarships**\n\n| Year | Students |\n| --- | --- |\n| 2010 | 24 |\n| 2011 | 20 |\n| 2012 | 31 |\n| 2013 | 23 |\n| 2014 | 28 |" } ] }, { "id": "31464", "image": "31464.png", "conversations": [ { "from": "human", "question": "A store recently released a new line of alarm clocks that emits a smell to wake you up in the morning. The head of sales tracked buyers' ages and which smells they preferred. What is the probability that a randomly selected buyer is under 13 years old and purchased a clock scented like bacon? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the buyer is under 13 years old\" and B be the event \"the buyer purchased a clock scented like bacon\".\nTo find the probability that a buyer is under 13 years old and purchased a clock scented like bacon, first identify the sample space and the event.\nThe outcomes in the sample space are the different buyers. Each buyer is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the buyer is under 13 years old and purchased a clock scented like bacon\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the buyer is under 13 years old and purchased a clock scented like bacon\", so look at the table to see how many buyers are under 13 years old and purchased a clock scented like bacon.\nThe number of buyers who are under 13 years old and purchased a clock scented like bacon is 5.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of buyers.\n5 + 3 + 6 + 5 = 19\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{5}{19}\nThe probability that a buyer is under 13 years old and purchased a clock scented like bacon is \\frac{5}{19}.", "answer": "5/19", "table": "| | Bacon | Cinnamon |\n| --- | --- | --- |\n| Under 13 years old | 5 | 6 |\n| A teenager | 3 | 5 |" } ] }, { "id": "31468", "image": "31468.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does Advanced Art class end?\n" }, { "from": "gpt", "solution": "Find Advanced Art class on the schedule. Find the end time for Advanced Art class.\n\nAdvanced Art: 12:25 P. M.", "answer": "12:25 P.M.", "table": "**Art teacher's schedule**\n\n| Class | Begin | End |\n| --- | --- | --- |\n| Architecture | 7:00 A.M. | 7:45 A.M. |\n| Charcoal Drawing | 7:50 A.M. | 9:20 A.M. |\n| Sketching | 9:35 A.M. | 10:05 A.M. |\n| Interior Design | 10:15 A.M. | 11:05 A.M. |\n| Advanced Art | 11:15 A.M. | 12:25 P.M. |\n| Computer Graphics | 12:35 P.M. | 2:05 P.M. |" } ] }, { "id": "31474", "image": "31474.png", "conversations": [ { "from": "human", "question": "The city library monitored the number of books checked out each day. On which day were the most books checked out?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 776.\n\nNow find the corresponding day. Thursday corresponds to 776.", "answer": "Thursday", "table": "**Books checked out**\n\n| Day | Number of books |\n| --- | --- |\n| Thursday | 776 |\n| Friday | 769 |\n| Saturday | 717 |\n| Sunday | 716 |" } ] }, { "id": "31498", "image": "31498.png", "conversations": [ { "from": "human", "question": "Tom has $13. Does he have enough to buy a book about the Olympics and a book about reptiles?\n" }, { "from": "gpt", "solution": "Add the price of a book about the Olympics and the price of a book about reptiles:\n\n$9 + $5 = $14\n\n$14 is more than $13. Tom does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| book about birds | $1 |\n| book about hiking | $5 |\n| book about the Olympics | $9 |\n| book about reptiles | $5 |" } ] }, { "id": "31506", "image": "31506.png", "conversations": [ { "from": "human", "question": "A farmer wrote down how many kilograms of cherries were sold in the past 4 days. On which day were the most kilograms of cherries sold?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 992.\n\nNow find the corresponding day. Sunday corresponds to 992.", "answer": "Sunday", "table": "**Cherries sold**\n\n| Day | Kilograms |\n| --- | --- |\n| Saturday | 929 |\n| Sunday | 992 |\n| Monday | 921 |\n| Tuesday | 912 |" } ] }, { "id": "31510", "image": "31510.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $985, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $985, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $305 | 19,400 | 3,500 |\n| $475 | 15,100 | 6,000 |\n| $645 | 10,800 | 8,500 |\n| $815 | 6,500 | 11,000 |\n| $985 | 2,200 | 13,500 |" } ] }, { "id": "31511", "image": "31511.png", "conversations": [ { "from": "human", "question": "Edmond counted the number of articles in several different magazines. How many magazines had at least 40 articles but less than 50 articles?\n" }, { "from": "gpt", "solution": "Count all the leaves in the row with stem 4.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 magazines had at least 40 articles but less than 50 articles.", "answer": "2", "table": "**Articles per magazine**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 2, 4, 4, 4, 6 |\n| 2 | 1, 2, 3, 4, 5, 6, 7, 7, 8, 9 |\n| 3 | 3, 3, 5, 7, 7, 8, 8 |\n| 4 | 0, 9 |" } ] }, { "id": "31513", "image": "31513.png", "conversations": [ { "from": "human", "question": "An agricultural agency is researching how much cheese people have been eating in different parts of the world. Which country consumed the least cheese per capita in 2006?\n" }, { "from": "gpt", "solution": "Look at the numbers in the 2006 column. Find the least number in this column.\n\nThe least number is 10, which is in the Australia row. Australia consumed the least cheese per capita in 2006.", "answer": "Australia", "table": "**Cheese consumption per capita (kg)**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 1996 | 2006 |\n| Austria | 10 | 17 |\n| Argentina | 11 | 11 |\n| Canada | 10 | 11 |\n| Australia | 10 | 10 |\n| Germany | 12 | 20 |" } ] }, { "id": "31520", "image": "31520.png", "conversations": [ { "from": "human", "question": "A volunteer for the local running club counted the number of participants at each race. How many races had fewer than 30 participants?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1 and 2.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 races had fewer than 30 participants.", "answer": "3", "table": "**Participants per race**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1, 4 |\n| 2 | 4 |\n| 3 | 2, 2, 4, 6, 8 |\n| 4 | 0, 0, 4 |\n| 5 | 0 |\n| 6 | |\n| 7 | 8, 9 |\n| 8 | 0, 5, 6, 7, 7, 9 |\n| 9 | 0 |" } ] }, { "id": "31529", "image": "31529.png", "conversations": [ { "from": "human", "question": "A bookstore employee looked up how many books were sold each month. In which month did the bookstore sell the fewest books?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 545.\n\nNow find the corresponding month. August corresponds to 545.", "answer": "August", "table": "**Number of books sold**\n\n| Month | Number of books |\n| --- | --- |\n| July | 546 |\n| August | 545 |\n| September | 556 |\n| October | 561 |" } ] }, { "id": "31530", "image": "31530.png", "conversations": [ { "from": "human", "question": "Some friends played a trivia game and recorded their scores. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n3, 4, 10, 8, 10\n\nFirst, find the greatest number. The greatest number is 10.\n\nNext, find the least number. The least number is 3.\n\nSubtract the least number from the greatest number:\n\n10 − 3 = 7\n\nThe range is 7.", "answer": "7", "table": "**Trivia game scores**\n\n| Name | Score |\n| --- | --- |\n| Tori | 3 |\n| Anita | 4 |\n| Jen | 10 |\n| Wyatt | 8 |\n| Beth | 10 |" } ] }, { "id": "31533", "image": "31533.png", "conversations": [ { "from": "human", "question": "A farm equipment company kept a record of the number of tractors made each month. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n56, 56, 52, 52, 52\n\nFirst, arrange the numbers from least to greatest:\n\n52, 52, 52, 56, 56\n\nNow count how many times each number appears.\n\n52 appears 3 times.\n56 appears 2 times.\n\nThe number that appears most often is 52.\n\nThe mode is 52.", "answer": "52", "table": "**Tractors made**\n\n| Month | Number of tractors |\n| --- | --- |\n| March | 56 |\n| April | 56 |\n| May | 52 |\n| June | 52 |\n| July | 52 |" } ] }, { "id": "31540", "image": "31540.png", "conversations": [ { "from": "human", "question": "A waitress kept track of how many hours she worked each day. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n8, 8, 2, 9, 5, 4, 9\n\nFirst, find the greatest number. The greatest number is 9.\n\nNext, find the least number. The least number is 2.\n\nSubtract the least number from the greatest number:\n\n9 − 2 = 7\n\nThe range is 7.", "answer": "7", "table": "**Hours worked**\n\n| Day | Hours |\n| --- | --- |\n| Friday | 8 |\n| Saturday | 8 |\n| Sunday | 2 |\n| Monday | 9 |\n| Tuesday | 5 |\n| Wednesday | 4 |\n| Thursday | 9 |" } ] }, { "id": "31549", "image": "31549.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $640, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $640, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $640 | 16,100 | 9,100 |\n| $710 | 13,300 | 11,300 |\n| $780 | 10,500 | 13,500 |\n| $850 | 7,700 | 15,700 |\n| $920 | 4,900 | 17,900 |" } ] }, { "id": "31551", "image": "31551.png", "conversations": [ { "from": "human", "question": "How much money does Diane need to buy a quartz crystal and a piece of rose quartz?\n" }, { "from": "gpt", "solution": "Add the price of a quartz crystal and the price of a piece of rose quartz:\n\n$0.60 + $0.22 = $0.82\n\nDiane needs $0.82.", "answer": "0.82", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| quartz crystal | $0.60 |\n| piece of red sandstone | $0.44 |\n| pumice stone | $0.23 |\n| piece of rose quartz | $0.22 |" } ] }, { "id": "31552", "image": "31552.png", "conversations": [ { "from": "human", "question": "A parent volunteer counted the number of boxes sold by each student participating in the cookie fundraiser. How many students sold at least 4 boxes of cookies?\n" }, { "from": "gpt", "solution": "Find the rows for 4 and 5 boxes of cookies. Add the frequencies for these rows.\n\nAdd:\n\n0 + 20 = 20\n\n20 students sold at least 4 boxes of cookies.", "answer": "20", "table": "**Selling cookies**\n\n| Boxes sold | Frequency |\n| --- | --- |\n| 1 | 3 |\n| 2 | 2 |\n| 3 | 6 |\n| 4 | 0 |\n| 5 | 20 |" } ] }, { "id": "31558", "image": "31558.png", "conversations": [ { "from": "human", "question": "A college professor asked her Psychology students to complete a personality test. She paid special attention to her students' career goals and their greatest fears. What is the probability that a randomly selected student has a fear of heights and wants to be a social worker? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the student has a fear of heights\" and B be the event \"the student wants to be a social worker\".\nTo find the probability that a student has a fear of heights and wants to be a social worker, first identify the sample space and the event.\nThe outcomes in the sample space are the different students. Each student is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the student has a fear of heights and wants to be a social worker\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the student has a fear of heights and wants to be a social worker\", so look at the table to see how many students have a fear of heights and want to be a social worker.\nThe number of students who have a fear of heights and want to be a social worker is 3.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of students.\n8 + 3 + 2 + 5 = 18\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{3}{18}\n = \\frac{1}{6}\nThe probability that a student has a fear of heights and wants to be a social worker is \\frac{1}{6}.", "answer": "1/6", "table": "| | Social worker | Doctor |\n| --- | --- | --- |\n| Fear of snakes | 8 | 2 |\n| Fear of heights | 3 | 5 |" } ] }, { "id": "31561", "image": "31561.png", "conversations": [ { "from": "human", "question": "Some players on a co-ed basketball team compared the total number of points they scored over the course of a year. What fraction of the points were scored by Alexis? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many points Alexis scored.\n\n30\n\nFind how many points the players scored in total.\n\n110 + 30 + 100 = 240\n\nDivide 30 by240.\n\n\\frac{30}{240}\n\nReduce the fraction.\n\n\\frac{30}{240} → \\frac{1}{8}\n\n\\frac{1}{8} of points Alexis scored.", "answer": "1/8", "table": "**Points scored in basketball**\n\n| Player | Points scored |\n| --- | --- |\n| Miles | 110 |\n| Alexis | 30 |\n| Other | 100 |" } ] }, { "id": "31562", "image": "31562.png", "conversations": [ { "from": "human", "question": "At their family reunion, the Moreno family recorded everyone's age. How many people are at least 50 years old but less than 70 years old?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 5 and 6.\n\nYou counted 12 leaves, which are blue in the stem-and-leaf plot above. 12 people are at least 50 years old but less than 70 years old.", "answer": "12", "table": "**Ages**\n\n| Stem | Leaf |\n| --- | --- |\n| 5 | 4, 5, 7 |\n| 6 | 2, 3, 3, 4, 5, 5, 5, 8, 9 |\n| 7 | 0, 4, 6, 7, 8, 8 |\n| 8 | 2, 4, 9 |" } ] }, { "id": "31563", "image": "31563.png", "conversations": [ { "from": "human", "question": "An ice cream shop kept track of how many ice cream cones it sold in the past 3 days. How many more ice cream cones did the shop sell on Wednesday than on Monday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nWednesday: 517\nMonday: 123\n\nNow subtract: 517 - 123 = 394.\n\nThe shop sold 394 more ice cream cones on Wednesday.", "answer": "394", "table": "**Ice cream cones sold**\n\n| Day | Number of ice cream cones |\n| --- | --- |\n| Monday | 123 |\n| Tuesday | 773 |\n| Wednesday | 517 |" } ] }, { "id": "31570", "image": "31570.png", "conversations": [ { "from": "human", "question": "Abby buys 1.6 pounds of hazelnuts. What is the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the hazelnuts. Multiply the price per pound by the number of pounds.\n$4 × 1.6 = $6.40\nThe total cost is $6.40.", "answer": "6.40", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| cashews | $8/lb |\n| peanuts | $3/lb |\n| pecans | $9/lb |\n| hazelnuts | $4/lb |" } ] }, { "id": "31573", "image": "31573.png", "conversations": [ { "from": "human", "question": "An agricultural agency is researching how much cheese people have been eating in different parts of the world. Which country consumed the most cheese per capita in 2006?\n" }, { "from": "gpt", "solution": "Look at the numbers in the 2006 column. Find the greatest number in this column.\n\nThe greatest number is 20, which is in the Germany row. Germany consumed the most cheese per capita in 2006.", "answer": "Germany", "table": "**Cheese consumption per capita (kg)**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 1996 | 2006 |\n| Canada | 10 | 11 |\n| Great Britain | 9 | 10 |\n| Germany | 12 | 20 |\n| Argentina | 11 | 11 |\n| Austria | 10 | 17 |" } ] }, { "id": "31574", "image": "31574.png", "conversations": [ { "from": "human", "question": "Maddie has $0.06. Does she have enough to buy a sour apple candy and a peppermint candy?\n" }, { "from": "gpt", "solution": "Add the price of a sour apple candy and the price of a peppermint candy:\n\n$0.03 + $0.02 = $0.05\n\n$0.05 is less than $0.06. Maddie does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| butterscotch candy | $0.06 |\n| gumball | $0.05 |\n| sour apple candy | $0.03 |\n| peppermint candy | $0.02 |" } ] }, { "id": "31576", "image": "31576.png", "conversations": [ { "from": "human", "question": "Some companies compared how many phone calls they made. Which company made the fewest phone calls?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 918.\n\nNow find the corresponding company. Northside Cycles corresponds to 918.", "answer": "Northside Cycles", "table": "**Phone calls**\n\n| Company | Number of phone calls |\n| --- | --- |\n| Henderson Co. | 919 |\n| Critical Insight Consulting | 998 |\n| Northside Cycles | 918 |\n| Reardon Corporation | 981 |" } ] }, { "id": "31578", "image": "31578.png", "conversations": [ { "from": "human", "question": "How much money does Marco need to buy a small metal hook and a brass clip?\n" }, { "from": "gpt", "solution": "Add the price of a small metal hook and the price of a brass clip:\n\n$0.05 + $0.09 = $0.14\n\nMarco needs $0.14.", "answer": "0.14", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| gold tack | $0.01 |\n| small metal hook | $0.05 |\n| short steel screw | $0.09 |\n| brass clip | $0.09 |\n| four-inch nail | $0.03 |\n| flat-head bolt | $0.05 |" } ] }, { "id": "31579", "image": "31579.png", "conversations": [ { "from": "human", "question": "Some teachers compared how many years they have been teaching. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 3, 2, 5, 7, 6, 2, 9\n\nFirst, find the greatest number. The greatest number is 9.\n\nNext, find the least number. The least number is 2.\n\nSubtract the least number from the greatest number:\n\n9 − 2 = 7\n\nThe range is 7.", "answer": "7", "table": "**Years of teaching**\n\n| Teacher | Number of years |\n| --- | --- |\n| Miss Torres | 7 |\n| Mr. Perez | 3 |\n| Mr. Nakamura | 2 |\n| Mr. Boone | 5 |\n| Mr. Gutierrez | 7 |\n| Ms. Yamamoto | 6 |\n| Ms. Chan | 2 |\n| Miss Watson | 9 |" } ] }, { "id": "31595", "image": "31595.png", "conversations": [ { "from": "human", "question": "How much would it cost to buy 5 pounds of Kalamata olives, 5 pounds of Greek olives, and 5 pounds of black olives?\n" }, { "from": "gpt", "solution": "Find the cost of the Kalamata olives. Multiply:\n\n$4.69 × 5 = $23.45\n\nFind the cost of the Greek olives. Multiply:\n\n$6.22 × 5 = $31.10\n\nFind the cost of the black olives. Multiply:\n\n$3.55 × 5 = $17.75\n\nNow find the total cost by adding:\n\n$23.45 + $31.10 + $17.75 = $72.30\n\nIt would cost $72.30.", "answer": "72.30", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| Kalamata olives | $4.69 per pound |\n| black olives | $3.55 per pound |\n| Greek olives | $6.22 per pound |\n| green olives | $6.28 per pound |" } ] }, { "id": "31605", "image": "31605.png", "conversations": [ { "from": "human", "question": "Look at Carly's pay stub. Carly lives in a state without state income tax. How much payroll tax did Carly pay in total?\n" }, { "from": "gpt", "solution": "To find the total payroll tax, add the federal income tax and the other taxes.\nThe federal income tax is $47.50. The other taxes are $32.67. Add.\n$47.50 + $32.67 = $80.17\nCarly paid a total of $80.17 in payroll tax.", "answer": "80.17", "table": "| Employee | Pay period | |\n| --- | --- | --- |\n| Carly Faber | March 18-24 | |\n| Total earnings | | $427.00 |\n| Federal income tax | $47.50 | |\n| Other taxes | $32.67 | |\n| Total taxes | | ? |\n| Pay after taxes | | ? |" } ] }, { "id": "31610", "image": "31610.png", "conversations": [ { "from": "human", "question": "Liam found a list of the number of roller coasters at each amusement park in the state. How many amusement parks have at least 35 roller coasters but fewer than 43 roller coasters?\n" }, { "from": "gpt", "solution": "Find the row with stem 3. Count all the leaves greater than or equal to 5.\n\nIn the row with stem 4, count all the leaves less than 3.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plots above. 3 amusement parks have at least 35 roller coasters but fewer than 43 roller coasters.", "answer": "3", "table": "**Roller coasters per amusement park**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1, 2, 3, 6, 8, 9 |\n| 2 | 2, 2, 4, 4, 9 |\n| 3 | 0, 1, 1, 3, 5 |\n| 4 | 2, 2, 7, 7, 9 |" } ] }, { "id": "31611", "image": "31611.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does the bus depart from the post office?\n" }, { "from": "gpt", "solution": "Find the post office on the schedule. Find the departure time for the post office.\n\nthe post office: 11:00 A. M.", "answer": "11:00 A.M.", "table": "**Bus schedule**\n\n| Location | Time |\n| --- | --- |\n| the doctor's office | 10:30 A.M. |\n| the post office | 11:00 A.M. |\n| the zoo | 11:35 A.M. |\n| the library | 12:25 P.M. |\n| the grocery store | 12:40 P.M. |\n| the science museum | 1:30 P.M. |" } ] }, { "id": "31633", "image": "31633.png", "conversations": [ { "from": "human", "question": "Shane bought 0.3 pounds of trail mix. How much did he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the trail mix. Multiply the price per pound by the number of pounds.\n$6 × 0.3 = $1.80\nHe spent $1.80.", "answer": "1.80", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| gummy bears | $7 per lb |\n| trail mix | $6 per lb |\n| dried berries | $5 per lb |\n| granola bars | $5 per lb |\n| cookie bites | $7 per lb |\n| nuts | $4 per lb |" } ] }, { "id": "31635", "image": "31635.png", "conversations": [ { "from": "human", "question": "Grace sells jars of homemade jam at the farmers' market. She kept track of the jars she sold on Saturday in a frequency chart. How many jars of the two best-selling flavors did Grace sell altogether?\n" }, { "from": "gpt", "solution": "Step 1: Find the two best selling jam flavors.\nThe two greatest numbers in the frequency chart are 21 and 24.\nSo, blackberry and strawberry are the two best-selling flavors.\nStep 2: Find how many jars of the two best-selling flavors Grace sold.\nAdd the 21 jars of blackberry jam and the 24 jars of strawberry jam.\n21 + 24 = 45\nAltogether, Grace sold 45 jars of blackberry jam and strawberry jam.", "answer": "45", "table": "**Jam sales on Saturday**\n\n| Flavor | Frequency |\n| --- | --- |\n| blackberry | 21 |\n| grape | 12 |\n| raspberry | 20 |\n| strawberry | 24 |" } ] }, { "id": "31641", "image": "31641.png", "conversations": [ { "from": "human", "question": "Gina has $26.50. Does she have enough to buy a carrot cake and a peach pie?\n" }, { "from": "gpt", "solution": "Add the price of a carrot cake and the price of a peach pie:\n\n$16.02 + $11.34 = $27.36\n\n$27.36 is more than $26.50. Gina does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pumpkin pie | $10.64 |\n| carrot cake | $16.02 |\n| almond tart | $13.03 |\n| key lime pie | $10.72 |\n| peach pie | $11.34 |" } ] }, { "id": "31643", "image": "31643.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does the drumming performance end?\n" }, { "from": "gpt", "solution": "Find the drumming performance on the schedule. Find the end time for the drumming performance.\n\ndrumming performance: 10:40 A. M.", "answer": "10:40 A.M.", "table": "**Festival schedule**\n\n| Event | Begin | End |\n| --- | --- | --- |\n| drumming performance | 9:15 A.M. | 10:40 A.M. |\n| band concert | 10:25 A.M. | 12:40 P.M. |\n| keynote speech | 12:50 P.M. | 3:10 P.M. |\n| banquet | 2:35 P.M. | 4:10 P.M. |\n| parade | 4:05 P.M. | 5:25 P.M. |\n| dance performance | 4:45 P.M. | 6:30 P.M. |\n| choir concert | 6:40 P.M. | 8:35 P.M. |" } ] }, { "id": "31647", "image": "31647.png", "conversations": [ { "from": "human", "question": "Mrs. Huber told students how many rounds to expect in the spelling bee based on previous years. According to the table, what was the rate of change between 2015 and 2016?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{20 rounds - 18 rounds}{2016 - 2015}\n = \\frac{20 rounds - 18 rounds}{1 year}\n = \\frac{2 rounds}{1 year}\n = 2 rounds per year\nThe rate of change between 2015 and 2016 was 2 rounds per year.", "answer": "2", "table": "**Rounds in the spelling bee**\n\n| Year | Rounds |\n| --- | --- |\n| 2013 | 14 |\n| 2014 | 11 |\n| 2015 | 18 |\n| 2016 | 20 |\n| 2017 | 17 |" } ] }, { "id": "31657", "image": "31657.png", "conversations": [ { "from": "human", "question": "Tina has $12. Does she have enough to buy a map of Africa and an airplane calendar?\n" }, { "from": "gpt", "solution": "Add the price of a map of Africa and the price of an airplane calendar:\n\n$7 + $6 = $13\n\n$13 is more than $12. Tina does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| dog calendar | $4 |\n| map of Canada | $8 |\n| airplane calendar | $6 |\n| cookbook | $3 |\n| map of Africa | $7 |" } ] }, { "id": "31658", "image": "31658.png", "conversations": [ { "from": "human", "question": "The architecture student counted the number of bricks in each building in his neighborhood. How many buildings have at least 30 bricks but fewer than 60 bricks?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 3, 4, and 5.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 buildings have at least 30 bricks but fewer than 60 bricks.", "answer": "3", "table": "**Bricks per building**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 7 |\n| 4 | 8 |\n| 5 | 5 |\n| 6 | |\n| 7 | 3, 9, 9 |\n| 8 | 1, 5, 9 |" } ] }, { "id": "31664", "image": "31664.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which event begins at 3.40 P.M.?\n" }, { "from": "gpt", "solution": "Find 3:40 P. M. on the schedule. The men's tennis match begins at 3:40 P. M.", "answer": "men's tennis match", "table": "**University sports schedule**\n\n| Event | Begin | End |\n| --- | --- | --- |\n| track meet | 12:45 P.M. | 2:55 P.M. |\n| softball game | 2:05 P.M. | 3:10 P.M. |\n| rowing regatta | 2:15 P.M. | 4:35 P.M. |\n| men's tennis match | 3:40 P.M. | 6:15 P.M. |\n| golf tournament | 5:45 P.M. | 8:45 P.M. |\n| gymnastics meet | 8:15 P.M. | 10:25 P.M. |" } ] }, { "id": "31667", "image": "31667.png", "conversations": [ { "from": "human", "question": "The members of the local garden club tallied the number of plants in each person's garden. How many gardens have at least 60 plants but fewer than 70 plants?\n" }, { "from": "gpt", "solution": "Count all the leaves in the row with stem 6.\n\nYou counted 5 leaves, which are blue in the stem-and-leaf plot above. 5 gardens have at least 60 plants but fewer than 70 plants.", "answer": "5", "table": "**Plants per garden**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 2, 2, 5, 6, 6, 7, 8 |\n| 4 | 0, 5, 7 |\n| 5 | 0, 0, 6, 7 |\n| 6 | 1, 3, 5, 8, 9 |" } ] }, { "id": "31668", "image": "31668.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. How long does it take to get from Oakland to Fairview?\n" }, { "from": "gpt", "solution": "Read the times in the first column for Oakland and Fairview.\n\nFind the elapsed time between 6:45 A. M. and 8:15 A. M. The elapsed time is 1 hour and 30 minutes.\n\nNo matter which column of times you look at, the elapsed time is always 1 hour and 30 minutes.", "answer": "1 hour and 30 minutes", "table": "**Train schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 | Column 5 | Column 6 |\n| --- | --- | --- | --- | --- | --- |\n| Newton | 5:30 A.M. | 10:15 A.M. | 3:00 P.M. | 3:45 P.M. | 8:15 P.M. |\n| Oakland | 6:45 A.M. | 11:30 A.M. | 4:15 P.M. | 5:00 P.M. | 9:30 P.M. |\n| Fairview | 8:15 A.M. | 1:00 P.M. | 5:45 P.M. | 6:30 P.M. | 11:00 P.M. |\n| Booneville | 10:00 A.M. | 2:45 P.M. | 7:30 P.M. | 8:15 P.M. | 12:45 A.M. |\n| Arcadia | 11:00 A.M. | 3:45 P.M. | 8:30 P.M. | 9:15 P.M. | 1:45 A.M. |\n| Washington | 11:30 A.M. | 4:15 P.M. | 9:00 P.M. | 9:45 P.M. | 2:15 A.M. |" } ] }, { "id": "31672", "image": "31672.png", "conversations": [ { "from": "human", "question": "While looking through an almanac at the library, Sidney noticed some data showing the population density of various states. How many people per square mile lived in Nevada in 1990?\n" }, { "from": "gpt", "solution": "First, find the row for Nevada. Then find the number in the 1990 column.\n\nThis number is 10. In 1990, Nevada had 10 people per square mile.", "answer": "10", "table": "**Population per square mile**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| State | 1990 | 2000 |\n| Nevada | 10 | 18 |\n| South Dakota | 9 | 10 |\n| New Mexico | 12 | 15 |" } ] }, { "id": "31676", "image": "31676.png", "conversations": [ { "from": "human", "question": "Carly is a sandwich maker at a local deli. Last week, she tracked the number of peanut butter and jelly sandwiches ordered, noting the flavor of jelly and type of peanut butter requested. What is the probability that a randomly selected sandwich was made with creamy peanut butter and strawberry jelly? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the sandwich was made with creamy peanut butter\" and B be the event \"the sandwich was made with strawberry jelly\".\nTo find the probability that a sandwich was made with creamy peanut butter and strawberry jelly, first identify the sample space and the event.\nThe outcomes in the sample space are the different sandwiches. Each sandwich is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the sandwich was made with creamy peanut butter and strawberry jelly\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the sandwich was made with creamy peanut butter and strawberry jelly\", so look at the table to see how many sandwiches were made with creamy peanut butter and strawberry jelly.\nThe number of sandwiches that were made with creamy peanut butter and strawberry jelly is 3.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of sandwiches.\n3 + 1 + 4 + 3 = 11\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{3}{11}\nThe probability that a sandwich was made with creamy peanut butter and strawberry jelly is \\frac{3}{11}.", "answer": "3/11", "table": "| | Strawberry jelly | Grape jelly |\n| --- | --- | --- |\n| Creamy peanut butter | 3 | 4 |\n| Chunky peanut butter | 1 | 3 |" } ] }, { "id": "31683", "image": "31683.png", "conversations": [ { "from": "human", "question": "How much more does a parachuting adventure package cost than a mountain-biking adventure package?\n" }, { "from": "gpt", "solution": "Subtract the price of a mountain-biking adventure package from the price of a parachuting adventure package.\n\n$976.00 - $445.00 = $531.00\n\nA parachuting adventure package costs $531.00 more than a mountain-biking adventure package.", "answer": "531", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| parachuting adventure package | $976.00 |\n| whale-watching adventure package | $255.00 |\n| sky-diving adventure package | $912.00 |\n| sailing trip package | $526.00 |\n| mountain-biking adventure package | $445.00 |\n| surfing adventure package | $354.00 |" } ] }, { "id": "31688", "image": "31688.png", "conversations": [ { "from": "human", "question": "To figure out how many vacation days she had left to use, Mandy looked over her old calendars to figure out how many days of vacation she had taken each year. According to the table, what was the rate of change between 2016 and 2017?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{26 vacation days - 18 vacation days}{2017 - 2016}\n = \\frac{26 vacation days - 18 vacation days}{1 year}\n = \\frac{8 vacation days}{1 year}\n = 8 vacation days per year\nThe rate of change between 2016 and 2017 was 8 vacation days per year.", "answer": "8", "table": "**Vacation days taken by Mandy**\n\n| Year | Vacation days |\n| --- | --- |\n| 2015 | 16 |\n| 2016 | 18 |\n| 2017 | 26 |\n| 2018 | 31 |\n| 2019 | 11 |" } ] }, { "id": "31696", "image": "31696.png", "conversations": [ { "from": "human", "question": "How much money does Emir need to buy an Akita and a Beagle?\n" }, { "from": "gpt", "solution": "Add the price of an Akita and the price of a Beagle:\n\n$2,077 + $1,276 = $3,353\n\nEmir needs $3,353.", "answer": "3,353", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| Australian Shepherd | $1,021 |\n| Akita | $2,077 |\n| Pomeranian | $2,124 |\n| English Bulldog | $2,940 |\n| Norfolk Terrier | $2,476 |\n| Beagle | $1,276 |" } ] }, { "id": "31703", "image": "31703.png", "conversations": [ { "from": "human", "question": "While writing a paper on making decisions in groups, Bridget researched the size of a number of committees. How many committees have at least 77 members but fewer than 99 members?\n" }, { "from": "gpt", "solution": "Find the row with stem 7. Count all the leaves greater than or equal to 7.\n\nCount all the leaves in the row with stem 8.\n\nIn the row with stem 9, count all the leaves less than 9.\n\nYou counted 5 leaves, which are blue in the stem-and-leaf plots above. 5 committees have at least 77 members but fewer than 99 members.", "answer": "5", "table": "**Committee sizes (number of members)**\n\n| Stem | Leaf |\n| --- | --- |\n| 5 | 1 |\n| 6 | 7 |\n| 7 | 4, 4, 6, 6 |\n| 8 | 5, 5, 9 |\n| 9 | 0, 0 |" } ] }, { "id": "31704", "image": "31704.png", "conversations": [ { "from": "human", "question": "A pair of Shelby High School hockey fans counted the number of games won by the school each year. According to the table, what was the rate of change between 2015 and 2016?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{4 games - 5 games}{2016 - 2015}\n = \\frac{4 games - 5 games}{1 year}\n = \\frac{-1 games}{1 year}\n = -1 games per year\nThe rate of change between 2015 and 2016 was - 1 games per year.", "answer": "-1", "table": "**Hockey games won by Shelby High**\n\n| Year | Games won |\n| --- | --- |\n| 2012 | 13 |\n| 2013 | 7 |\n| 2014 | 18 |\n| 2015 | 5 |\n| 2016 | 4 |" } ] }, { "id": "31706", "image": "31706.png", "conversations": [ { "from": "human", "question": "Joseph has $0.10. Does he have enough to buy a wooden block and a green bouncy ball?\n" }, { "from": "gpt", "solution": "Add the price of a wooden block and the price of a green bouncy ball:\n\n$0.02 + $0.08 = $0.10\n\nSince Joseph has $0.10, he has just enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| wooden block | $0.02 |\n| green bouncy ball | $0.08 |\n| shapes stencil | $0.03 |\n| colorful pinwheel | $0.07 |" } ] }, { "id": "31707", "image": "31707.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $200, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $200, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $80 | 14,400 | 6,300 |\n| $120 | 13,200 | 6,600 |\n| $160 | 12,000 | 6,900 |\n| $200 | 10,800 | 7,200 |\n| $240 | 9,600 | 7,500 |" } ] }, { "id": "31708", "image": "31708.png", "conversations": [ { "from": "human", "question": "A vendor who sold bread at farmers' markets counted the number of leftover loaves at the end of each day. According to the table, what was the rate of change between Thursday and Friday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{44 loaves - 17 loaves}{1 day}\n = \\frac{27 loaves}{1 day}\n = 27 loaves per day\nThe rate of change between Thursday and Friday was 27 loaves per day.", "answer": "27", "table": "**Loaves of leftover bread**\n\n| Day | Leftover loaves |\n| --- | --- |\n| Tuesday | 20 |\n| Wednesday | 48 |\n| Thursday | 17 |\n| Friday | 44 |\n| Saturday | 17 |" } ] }, { "id": "31726", "image": "31726.png", "conversations": [ { "from": "human", "question": "Each van has 5 passengers. How many passengers are in 6 vans?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 30 passengers in 6 vans.", "answer": "30", "table": "| Number of vans | Number of passengers |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | 20 |\n| 5 | 25 |\n| 6 | ? |" } ] }, { "id": "31728", "image": "31728.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $275, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $275, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $155 | 23,000 | 1,600 |\n| $185 | 21,400 | 2,800 |\n| $215 | 19,800 | 4,000 |\n| $245 | 18,200 | 5,200 |\n| $275 | 16,600 | 6,400 |" } ] }, { "id": "31729", "image": "31729.png", "conversations": [ { "from": "human", "question": "Madelyn went to the store. She bought 2+1/2 kilograms of wheat rolls. How much did she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the wheat rolls. Multiply the price per kilogram by the number of kilograms.\n$7 × 2\\frac{1}{2} = $7 × 2.5 = $17.50\nShe spent $17.50.", "answer": "17.50", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| tortillas | $8/kilogram |\n| English muffins | $7/kilogram |\n| wheat rolls | $7/kilogram |\n| hot dog buns | $6/kilogram |\n| rye rolls | $7/kilogram |\n| hamburger buns | $6/kilogram |\n| French rolls | $5/kilogram |" } ] }, { "id": "31734", "image": "31734.png", "conversations": [ { "from": "human", "question": "For a math project, students in Mrs. McCoy's class recorded the number of pets that each student has. How many students have fewer than 3 pets?\n" }, { "from": "gpt", "solution": "Find the rows for 0, 1, and 2 pets. Add the frequencies for these rows.\n\nAdd:\n\n4 + 16 + 10 = 30\n\n30 students have fewer than 3 pets.", "answer": "30", "table": "**Pets**\n\n| Number of pets | Frequency |\n| --- | --- |\n| 0 | 4 |\n| 1 | 16 |\n| 2 | 10 |\n| 3 | 11 |\n| 4 | 6 |" } ] }, { "id": "31739", "image": "31739.png", "conversations": [ { "from": "human", "question": "In trying to calculate how much money could be saved by packing lunch, Scarlett recorded the amount she spent on lunch each day. According to the table, what was the rate of change between Wednesday and Thursday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{$5 - $1}{1 day}\n = \\frac{$4}{1 day}\n = $4 perday\nThe rate of change between Wednesday and Thursday was $4 perday.", "answer": "4", "table": "**Amount Scarlett spent on lunch**\n\n| Day | Amount spent |\n| --- | --- |\n| Sunday | $4 |\n| Monday | $2 |\n| Tuesday | $2 |\n| Wednesday | $1 |\n| Thursday | $5 |" } ] }, { "id": "31740", "image": "31740.png", "conversations": [ { "from": "human", "question": "Jayla looked at her e-mail outbox to see how many e-mails she sent each day. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 5, 9, 7, 9, 9, 5\n\nFirst, arrange the numbers from least to greatest:\n\n5, 5, 7, 7, 9, 9, 9\n\nNow count how many times each number appears.\n\n5 appears 2 times.\n7 appears 2 times.\n9 appears 3 times.\n\nThe number that appears most often is 9.\n\nThe mode is 9.", "answer": "9", "table": "**E-mails sent**\n\n| Day | Number of e-mails |\n| --- | --- |\n| Saturday | 7 |\n| Sunday | 5 |\n| Monday | 9 |\n| Tuesday | 7 |\n| Wednesday | 9 |\n| Thursday | 9 |\n| Friday | 5 |" } ] }, { "id": "31743", "image": "31743.png", "conversations": [ { "from": "human", "question": "A food industry researcher compiled the revenues of several pizzerias. Which restaurant made the least from pepperoni pizza sales?\n" }, { "from": "gpt", "solution": "Look at the numbers in the Pepperoni pizzas column. Find the least number in this column.\n\nThe least number is $5.00, which is in the The Real Chicago row. The Real Chicago made the least from pepperoni pizza sales.", "answer": "The Real Chicago", "table": "**Pizza sales**\n\n| Restaurant | Cheese pizzas | Pepperoni pizzas |\n| --- | --- | --- |\n| Pizzeria Italiano | $10 | $9 |\n| Pizza, Pasta and More | $17 | $18 |\n| Pizzas Only | $6 | $13 |\n| The Real Chicago | $7 | $5 |\n| Pizza Italia | $8 | $9 |" } ] }, { "id": "31754", "image": "31754.png", "conversations": [ { "from": "human", "question": "At their family reunion, the Jefferson family recorded everyone's age. What is the age of the oldest person?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 8.\n\nNow find the highest leaf in the last row. The highest leaf is 9.\n\nThe age of the oldest person has a stem of 8 and a leaf of 9. Write the stem first, then the leaf: 89.\n\nThe age of the oldest person is 89 years old.", "answer": "89", "table": "**Ages**\n\n| Stem | Leaf |\n| --- | --- |\n| 5 | 0, 4, 5, 6, 7 |\n| 6 | 0, 2, 5, 6, 8 |\n| 7 | 2, 5, 8 |\n| 8 | 0, 0, 3, 3, 4, 6, 6, 9 |" } ] }, { "id": "31758", "image": "31758.png", "conversations": [ { "from": "human", "question": "How much more does a Hawaiian vacation package cost than an African safari vacation package?\n" }, { "from": "gpt", "solution": "Subtract the price of an African safari vacation package from the price of a Hawaiian vacation package.\n\n$715 - $519 = $196\n\nA Hawaiian vacation package costs $196 more than an African safari vacation package.", "answer": "196", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| Jamaican vacation package | $921 |\n| Hawaiian vacation package | $715 |\n| Australian vacation package | $860 |\n| African safari vacation package | $519 |" } ] }, { "id": "31765", "image": "31765.png", "conversations": [ { "from": "human", "question": "A radio station paid attention to how many listeners it had each month. How many more listeners did the radio station have in July than in May?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nJuly: 4,848\nMay: 3,400\n\nNow subtract: 4,848 - 3,400 = 1,448.\n\nThe radio station had 1,448 more listeners in July.", "answer": "1,448", "table": "**Radio listeners**\n\n| Month | Number of listeners |\n| --- | --- |\n| April | 6,382 |\n| May | 3,400 |\n| June | 1,971 |\n| July | 4,848 |" } ] }, { "id": "31766", "image": "31766.png", "conversations": [ { "from": "human", "question": "Bert, an employee at McKenzie's Convenience Store, looked at the sales of each of its soda products. On Saturday, how much more did the convenience store make from Nature's Nectar sales than from Fizzy Fun sales?\n" }, { "from": "gpt", "solution": "Find the Saturday column. Find the numbers in this column for Nature's Nectar and Fizzy Fun.\n\nNature's Nectar: $16.00\nFizzy Fun: $13.00\n\nNow subtract:\n\n$16.00 − $13.00 = $3.00\n\nOn Saturday, the convenience store made $3 more from Nature's Nectar sales than from Fizzy Fun sales.", "answer": "3", "table": "**Convenience store beverage sales**\n\n| Beverage | Friday | Saturday |\n| --- | --- | --- |\n| Pearl's Soda | $11 | $15 |\n| Fizzy Fun | $9 | $13 |\n| Brenner's Juices | $6 | $14 |\n| Nature's Nectar | $6 | $16 |\n| Krazy Kola | $8 | $10 |" } ] }, { "id": "31769", "image": "31769.png", "conversations": [ { "from": "human", "question": "Dan surveyed people at the amusement park where he works and asked them how many times they visited last year. How many people went to an amusement park fewer than 3 times?\n" }, { "from": "gpt", "solution": "Find the rows for 1 and 2 times. Add the frequencies for these rows.\n\nAdd:\n\n6 + 4 = 10\n\n10 people went to an amusement park fewer than 3 times.", "answer": "10", "table": "**Trips to an amusement park last year**\n\n| Number of trips | Frequency |\n| --- | --- |\n| 1 | 6 |\n| 2 | 4 |\n| 3 | 17 |\n| 4 | 9 |" } ] }, { "id": "31770", "image": "31770.png", "conversations": [ { "from": "human", "question": "Shawn purchased 0.4 kilograms of lace scraps. What was the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the lace scraps. Multiply the price per kilogram by the number of kilograms.\n$6 × 0.4 = $2.40\nThe total cost was $2.40.", "answer": "2.40", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| silk scraps | $3/kg |\n| denim scraps | $6/kg |\n| lace scraps | $6/kg |\n| felt scraps | $3/kg |" } ] }, { "id": "31771", "image": "31771.png", "conversations": [ { "from": "human", "question": "How much more does a bottle of glue cost than a ruler?\n" }, { "from": "gpt", "solution": "Subtract the price of a ruler from the price of a bottle of glue.\n\n$1.91 - $1.16 = $0.75\n\nA bottle of glue costs $0.75 more than a ruler.", "answer": "0.75", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| ruler | $1.16 |\n| bottle of glue | $1.91 |\n| silver glitter pen | $2.18 |\n| box of crayons | $1.59 |\n| notebook | $3.51 |" } ] }, { "id": "31786", "image": "31786.png", "conversations": [ { "from": "human", "question": "At the summer carnival, each member of the Arnold family played a round of bean bag toss. Which family member had the most hits?\n" }, { "from": "gpt", "solution": "Look at the numbers in the Hits column. Find the greatest number in this column.\n\nThe greatest number is 18, which is in the Cousin Laura row. Cousin Laura had the most hits.", "answer": "Cousin Laura", "table": "**Bean bag toss**\n\n| Person | Hits | Misses |\n| --- | --- | --- |\n| Uncle William | 4 | 20 |\n| Cousin Heather | 1 | 1 |\n| Uncle Thomas | 3 | 7 |\n| Cousin Laura | 18 | 13 |\n| Aunt Betty | 1 | 18 |" } ] }, { "id": "31787", "image": "31787.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which stop does the train depart from at 2.45 A.M.?\n" }, { "from": "gpt", "solution": "Find 2:45 A. M. on the schedule. The train departs from Princeton at 2:45 A. M.", "answer": "Princeton", "table": "**Train schedule**\n\n| Location | Arrive | Depart |\n| --- | --- | --- |\n| Princeton | 2:25 A.M. | 2:45 A.M. |\n| Westminster | 3:15 A.M. | 3:30 A.M. |\n| Newberg | 5:00 A.M. | 5:30 A.M. |\n| Belleville | 6:15 A.M. | 6:25 A.M. |\n| Stamford | 7:30 A.M. | 7:55 A.M. |\n| Oakland | 9:35 A.M. | 10:00 A.M. |\n| Salem | 11:30 A.M. | 12:00 P.M. |\n| Oakdale | 1:00 P.M. | 1:15 P.M. |\n| Lakeside | 2:30 P.M. | 2:45 P.M. |" } ] }, { "id": "31788", "image": "31788.png", "conversations": [ { "from": "human", "question": "Look at Oscar's pay stub. Oscar lives in a state without state income tax. How much payroll tax did Oscar pay in total?\n" }, { "from": "gpt", "solution": "To find the total payroll tax, add the federal income tax and the other taxes.\nThe federal income tax is $278.86. The other taxes are $156.90. Add.\n$278.86 + $156.90 = $435.76\nOscar paid a total of $435.76 in payroll tax.", "answer": "435.76", "table": "| Employee | Pay period | |\n| --- | --- | --- |\n| Oscar Campbell | June 16-31 | |\n| Total earnings | | $2,051.00 |\n| Federal income tax | $278.86 | |\n| Other taxes | $156.90 | |\n| Total taxes | | ? |\n| Pay after taxes | | ? |" } ] }, { "id": "31789", "image": "31789.png", "conversations": [ { "from": "human", "question": "The students in Mr. Davis's class recorded the number of siblings that each has. How many students in the class have exactly 2 siblings?\n" }, { "from": "gpt", "solution": "Find the row for 2 siblings and read the frequency. The frequency is 3.\n\nThere are 3 students who have exactly2 siblings.", "answer": "3", "table": "**Siblings**\n\n| Number of siblings | Frequency |\n| --- | --- |\n| 0 | 12 |\n| 1 | 4 |\n| 2 | 3 |\n| 3 | 10 |\n| 4 | 1 |" } ] }, { "id": "31792", "image": "31792.png", "conversations": [ { "from": "human", "question": "How much money does Leslie need to buy a blue glass bead and a brown cat's eye bead?\n" }, { "from": "gpt", "solution": "Add the price of a blue glass bead and the price of a brown cat's eye bead:\n\n$0.06 + $0.05 = $0.11\n\nLeslie needs $0.11.", "answer": "0.11", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| brown cat's eye bead | $0.05 |\n| white bead with black spots | $0.08 |\n| small pink bead | $0.06 |\n| long red bead | $0.07 |\n| blue glass bead | $0.06 |" } ] }, { "id": "31804", "image": "31804.png", "conversations": [ { "from": "human", "question": "Josie has two part-time jobs. She works at the ice skating rink in the fall and winter, and she works at the amusement park during the spring and summer. Here are her yearly finances. What is Josie's gross income for the year?\n" }, { "from": "gpt", "solution": "Josie's gross income is her total earnings before taxes are taken out. Add the earnings from Josie's two part-time jobs to find her gross income.\n$19,760 + $21,091 = $40,851\nJosie's gross income for the year is $40,851.\nYou do not need the information about Josie's income tax and other payroll taxes to find her gross income.", "answer": "40,851", "table": "**Josie's yearly finances**\n\n| Column 1 | Column 2 |\n| --- | --- |\n| Earnings from job at the ice skating rink | $19,760 |\n| Earnings from job at the amusement park | $21,091 |\n| Income tax and other payroll taxes | $6,873 |" } ] }, { "id": "31805", "image": "31805.png", "conversations": [ { "from": "human", "question": "The houses in Akira's town get their water from a local reservoir. Akira and a group of engineers monitor the water level for safety and health reasons. The change in water level over two months is shown in the table. During which month did the water level change more?\n" }, { "from": "gpt", "solution": "A positive change means the water level went up. A negative change means the water level went down.\nTo find the month the water level changed more, use absolute value. Absolute value tells you how much the water level changed each month.\nApril: |-6| = 6\nMay: |4| = 4\nThe water level went down 6 inches in April, and it only went up 4 inches in May. The water level changed more in April.", "answer": "April", "table": "| Month | Change in water level (in.) |\n| --- | --- |\n| April | -6 |\n| May | 4 |" } ] }, { "id": "31813", "image": "31813.png", "conversations": [ { "from": "human", "question": "How much money does Kiera need to buy 6 blenders and 5 telephones?\n" }, { "from": "gpt", "solution": "Find the cost of 6 blenders.\n\n$18.93 × 6 = $113.58\n\nFind the cost of 5 telephones.\n\n$46.00 × 5 = $230.00\n\nNow find the total cost.\n\n$113.58 + $230.00 = $343.58\n\nKiera needs $343.58.", "answer": "343.58", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| CD | $18.73 |\n| blender | $18.93 |\n| telephone | $46.00 |\n| calculator | $83.68 |\n| toaster | $45.91 |\n| television | $60.14 |" } ] }, { "id": "31814", "image": "31814.png", "conversations": [ { "from": "human", "question": "Dr. Bradshaw, a zoo director, researched ticket prices at other zoos around the country. How much more does a child ticket cost at the Bronx Zoo than at the Houston Zoo?\n" }, { "from": "gpt", "solution": "Find the Child column. Find the numbers in this column for Bronx and Houston.\n\nBronx: $11.00\nHouston: $6.00\n\nNow subtract:\n\n$11.00 − $6.00 = $5.00\n\nA child cost $5 more at the Bronx Zoo than at the Houston Zoo.", "answer": "5", "table": "**Zoo ticket prices**\n\n| Zoo | Adult | Child |\n| --- | --- | --- |\n| Oakland | $10 | $7 |\n| Bronx | $15 | $11 |\n| Houston | $10 | $6 |\n| Central Florida | $11 | $7 |" } ] }, { "id": "31815", "image": "31815.png", "conversations": [ { "from": "human", "question": "A cheese merchant in Seaside sells cheeses from a variety of regions, and he noted how much from each region was sold last year. What fraction of the cheese sold was from Argentina? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how much cheese from Argentina was sold.\n\n560\n\nFind how much cheese was sold in total.\n\n560 + 890 + 970 + 580 = 3,000\n\nDivide 560 by 3,000.\n\n\\frac{560}{3,000}\n\nReduce the fraction.\n\n\\frac{560}{3,000} → \\frac{14}{75}\n\n\\frac{14}{75} of Find how much cheese from Argentina was sold.", "answer": "14/75", "table": "**Cheese sales**\n\n| Origin | Number of kilograms |\n| --- | --- |\n| Argentina | 560 |\n| Spain | 890 |\n| Chile | 970 |\n| Other | 580 |" } ] }, { "id": "31818", "image": "31818.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $400, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $400, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $400 | 17,500 | 5,600 |\n| $570 | 14,200 | 7,900 |\n| $740 | 10,900 | 10,200 |\n| $910 | 7,600 | 12,500 |\n| $1,080 | 4,300 | 14,800 |" } ] }, { "id": "31821", "image": "31821.png", "conversations": [ { "from": "human", "question": "How much money does Lara need to buy a blue tank top and a pair of jeans?\n" }, { "from": "gpt", "solution": "Add the price of a blue tank top and the price of a pair of jeans:\n\n$4.00 + $8.00 = $12.00\n\nLara needs $12.00.", "answer": "12", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pair of jeans | $8.00 |\n| blue tank top | $4.00 |\n| pair of shorts | $6.00 |\n| pair of white socks | $6.00 |\n| yellow skirt | $5.00 |\n| denim skirt | $8.00 |" } ] }, { "id": "31823", "image": "31823.png", "conversations": [ { "from": "human", "question": "Henry counted the number of pieces of pepperoni on each pizza he made. How many pizzas had at least 20 pieces of pepperoni?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 2, 3, and 4.\n\nYou counted 5 leaves, which are blue in the stem-and-leaf plot above. 5 pizzas had at least 20 pieces of pepperoni.", "answer": "5", "table": "**Pieces of pepperoni per pizza**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1, 1, 1, 8 |\n| 2 | 8, 9 |\n| 3 | |\n| 4 | 2, 4, 9 |" } ] }, { "id": "31828", "image": "31828.png", "conversations": [ { "from": "human", "question": "A journalist attended a crossword puzzle competition which attracts contestants from different countries. The competition ends when a contestant has accurately completed five different crossword puzzles. For his story, the journalist recorded the home country and final score of each contestant. What is the probability that a randomly selected contestant scored exactly 85 points and is from Argentina? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the contestant scored exactly 85 points\" and B be the event \"the contestant is from Argentina\".\nTo find the probability that a contestant scored exactly 85 points and is from Argentina, first identify the sample space and the event.\nThe outcomes in the sample space are the different contestants. Each contestant is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the contestant scored exactly 85 points and is from Argentina\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the contestant scored exactly 85 points and is from Argentina\", so look at the table to see how many contestants scored exactly 85 points and are from Argentina.\nThe number of contestants who scored exactly 85 points and are from Argentina is 1.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of contestants.\n3 + 1 + 2 + 7 = 13\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{1}{13}\nThe probability that a contestant scored exactly 85 points and is from Argentina is \\frac{1}{13}.", "answer": "1/13", "table": "| | Argentina | Brazil |\n| --- | --- | --- |\n| 80 points | 3 | 2 |\n| 85 points | 1 | 7 |" } ] }, { "id": "31838", "image": "31838.png", "conversations": [ { "from": "human", "question": "A technical support line tracked how many calls it received each day. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n39, 36, 52, 56, 48\n\nFirst, arrange the numbers from least to greatest:\n\n36, 39, 48, 52, 56\n\nNow find the number in the middle.\n\n36, 39, 48, 52, 56\n\nThe number in the middle is 48.\n\nThe median is 48.", "answer": "48", "table": "**Phone calls received**\n\n| Day | Number of calls |\n| --- | --- |\n| Monday | 39 |\n| Tuesday | 36 |\n| Wednesday | 52 |\n| Thursday | 56 |\n| Friday | 48 |" } ] }, { "id": "31843", "image": "31843.png", "conversations": [ { "from": "human", "question": "A stock broker followed the stock prices of a certain set of companies. How much did Jonas Incorporated's stock cost on Thursday?\n" }, { "from": "gpt", "solution": "First, find the row for Jonas Incorporated. Then find the number in the Thursday column.\n\nThis number is $8.00. Jonas Incorporated's stock cost $8 on Thursday.", "answer": "8", "table": "**Stock prices**\n\n| Company | Wednesday | Thursday |\n| --- | --- | --- |\n| Houston Sporting Goods | $14 | $17 |\n| Computer Data Company | $18 | $5 |\n| Jonas Incorporated | $3 | $8 |" } ] }, { "id": "31848", "image": "31848.png", "conversations": [ { "from": "human", "question": "A gymnast jotted down the number of cartwheels she did each day. On which day did the gymnast do the fewest cartwheels?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 70.\n\nNow find the corresponding day. Tuesday corresponds to 70.", "answer": "Tuesday", "table": "**Doing cartwheels**\n\n| Day | Number of cartwheels |\n| --- | --- |\n| Monday | 78 |\n| Tuesday | 70 |\n| Wednesday | 79 |\n| Thursday | 75 |" } ] }, { "id": "31850", "image": "31850.png", "conversations": [ { "from": "human", "question": "Some teachers compared how many years they have been teaching. Who has been teaching for the fewest years?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 12.\n\nNow find the corresponding teacher. Mr. Park corresponds to 12.", "answer": "Mr. Park", "table": "**Years of teaching**\n\n| Teacher | Number of years |\n| --- | --- |\n| Mr. Park | 12 |\n| Ms. Yamamoto | 16 |\n| Mr. Nakamura | 14 |\n| Mrs. Ramirez | 19 |" } ] }, { "id": "31856", "image": "31856.png", "conversations": [ { "from": "human", "question": "Each branch has 5 pears. How many pears are on 5 branches?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 25 pears on 5 branches.", "answer": "25", "table": "| Number of branches | Number of pears |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | 20 |\n| 5 | ? |" } ] }, { "id": "31857", "image": "31857.png", "conversations": [ { "from": "human", "question": "Mona, a doctor's office receptionist, tracked the average waiting time at the office each month. According to the table, what was the rate of change between September and October?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{40 minutes - 32 minutes}{1 month}\n = \\frac{8 minutes}{1 month}\n = 8 minutes per month\nThe rate of change between September and October was 8 minutes per month.", "answer": "8", "table": "**Average waiting time at a doctor's office**\n\n| Month | Waiting time (minutes) |\n| --- | --- |\n| August | 39 |\n| September | 32 |\n| October | 40 |\n| November | 32 |\n| December | 31 |" } ] }, { "id": "31865", "image": "31865.png", "conversations": [ { "from": "human", "question": "Each closet has 5 coats. How many coats are in 4 closets?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 20 coats in 4 closets.", "answer": "20", "table": "| Number of closets | Number of coats |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | ? |" } ] }, { "id": "31866", "image": "31866.png", "conversations": [ { "from": "human", "question": "How much money does Ellie need to buy a coloring book and a poetry book?\n" }, { "from": "gpt", "solution": "Add the price of a coloring book and the price of a poetry book:\n\n$5 + $8 = $13\n\nEllie needs $13.", "answer": "13", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| picture book | $8 |\n| coloring book | $5 |\n| poetry book | $8 |\n| textbook | $1 |\n| mystery novel | $5 |\n| crossword puzzle book | $7 |" } ] }, { "id": "31871", "image": "31871.png", "conversations": [ { "from": "human", "question": "A farmer wrote down how many kilograms of cherries were sold in the past 6 days. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n96, 97, 98, 97, 96, 97\n\nFirst, arrange the numbers from least to greatest:\n\n96, 96, 97, 97, 97, 98\n\nNow count how many times each number appears.\n\n96 appears 2 times.\n97 appears 3 times.\n98 appears 1 time.\n\nThe number that appears most often is 97.\n\nThe mode is 97.", "answer": "97", "table": "**Cherries sold**\n\n| Day | Kilograms |\n| --- | --- |\n| Monday | 96 |\n| Tuesday | 97 |\n| Wednesday | 98 |\n| Thursday | 97 |\n| Friday | 96 |\n| Saturday | 97 |" } ] }, { "id": "31877", "image": "31877.png", "conversations": [ { "from": "human", "question": "Sally counted all the beads in each necklace at the jewelry store where she works. How many necklaces had exactly 21 beads?\n" }, { "from": "gpt", "solution": "For the number 21, the stem is 2, and the leaf is 1. Find the row where the stem is 2. In that row, count all the leaves equal to 1.\n\nYou counted 1 leaf, which is blue in the stem-and-leaf plot above. 1 necklace had exactly21 beads.", "answer": "1", "table": "**Beads per necklace**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 1 |\n| 2 | 1, 5, 7 |\n| 3 | 1 |\n| 4 | |\n| 5 | 2, 2, 8 |" } ] }, { "id": "31878", "image": "31878.png", "conversations": [ { "from": "human", "question": "The bird watcher counted the number of birds in each flock that passed overhead. How many flocks had at least 17 birds but fewer than 33 birds?\n" }, { "from": "gpt", "solution": "Find the row with stem 1. Count all the leaves greater than or equal to 7.\n\nCount all the leaves in the row with stem 2.\n\nIn the row with stem 3, count all the leaves less than 3.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plots above. 4 flocks had at least 17 birds but fewer than 33 birds.", "answer": "4", "table": "**Birds per flock**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 2, 3 |\n| 2 | 0, 1, 4, 7 |\n| 3 | 5, 8, 8, 9 |\n| 4 | 4, 9 |\n| 5 | 0, 1, 2, 9, 9 |\n| 6 | 3, 4, 5, 6, 9 |\n| 7 | 1, 7 |" } ] }, { "id": "31905", "image": "31905.png", "conversations": [ { "from": "human", "question": "The bird watcher counted the number of birds in each flock that passed overhead. How many flocks had exactly 31 birds?\n" }, { "from": "gpt", "solution": "For the number 31, the stem is 3, and the leaf is 1. Find the row where the stem is 3. In that row, count all the leaves equal to 1.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 flocks had exactly 31 birds.", "answer": "2", "table": "**Birds per flock**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 1, 1, 2, 5, 7 |\n| 4 | 2, 8 |\n| 5 | 7 |\n| 6 | 2, 3, 5, 8 |\n| 7 | 0, 2, 4, 8, 9, 9 |" } ] }, { "id": "31908", "image": "31908.png", "conversations": [ { "from": "human", "question": "Jennifer keeps all her spare keys in a box under her bed. Recently, Jennifer decided the box was becoming unmanageable, as none of the keys were labeled. She set about labeling them with colored stickers that indicated what each key opened. What is the probability that a randomly selected key is labeled with a green sticker and opens the front door of the house? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the key is labeled with a green sticker\" and B be the event \"the key opens the front door of the house\".\nTo find the probability that a key is labeled with a green sticker and opens the front door of the house, first identify the sample space and the event.\nThe outcomes in the sample space are the different keys. Each key is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the key is labeled with a green sticker and opens the front door of the house\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the key is labeled with a green sticker and opens the front door of the house\", so look at the table to see how many keys are labeled with a green sticker and open the front door of the house.\nThe number of keys that are labeled with a green sticker and open the front door of the house is 2.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of keys.\n4 + 2 + 2 + 2 = 10\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{2}{10}\n = \\frac{1}{5}\nThe probability that a key is labeled with a green sticker and opens the front door of the house is \\frac{1}{5}.", "answer": "1/5", "table": "| | Front door of the house | Back door of the house |\n| --- | --- | --- |\n| Blue sticker | 4 | 2 |\n| Green sticker | 2 | 2 |" } ] }, { "id": "31909", "image": "31909.png", "conversations": [ { "from": "human", "question": "A business magazine surveyed its readers about their commute times. What is the longest commute time?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 7.\n\nNow find the highest leaf in the last row. The highest leaf is 1.\n\nThe longest commute time has a stem of 7 and a leaf of 1. Write the stem first, then the leaf: 71.\n\nThe longest commute time is 71 minutes.", "answer": "71", "table": "**Commute time (minutes)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 4, 5, 6, 7, 8, 8 |\n| 2 | 1, 4 |\n| 3 | 2, 3, 4, 5, 5, 6, 6, 8 |\n| 4 | 0, 9 |\n| 5 | 0, 6, 9 |\n| 6 | 1, 2, 9 |\n| 7 | 1 |" } ] }, { "id": "31911", "image": "31911.png", "conversations": [ { "from": "human", "question": "Porter has $11,219. Does he have enough to buy a ticket for a Mediterranean cruise and a ticket for a South American cruise?\n" }, { "from": "gpt", "solution": "Add the price of a ticket for a Mediterranean cruise and the price of a ticket for a South American cruise:\n\n$6,975 + $4,587 = $11,562\n\n$11,562 is more than $11,219. Porter does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| ticket for a South American cruise | $4,587 |\n| ticket for a Mexican cruise | $1,947 |\n| ticket for a Caribbean cruise | $1,727 |\n| ticket for a Mediterranean cruise | $6,975 |\n| ticket for an Alaskan cruise | $3,981 |" } ] }, { "id": "31921", "image": "31921.png", "conversations": [ { "from": "human", "question": "Each closet has 5 umbrellas. How many umbrellas are in 4 closets?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 20 umbrellas in 4 closets.", "answer": "20", "table": "| Number of closets | Number of umbrellas |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | ? |" } ] }, { "id": "31923", "image": "31923.png", "conversations": [ { "from": "human", "question": "A vendor who sold bread at farmers' markets counted the number of leftover loaves at the end of each day. According to the table, what was the rate of change between Monday and Tuesday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{34 loaves - 37 loaves}{1 day}\n = \\frac{-3 loaves}{1 day}\n = -3 loaves per day\nThe rate of change between Monday and Tuesday was - 3 loaves per day.", "answer": "-3", "table": "**Loaves of leftover bread**\n\n| Day | Leftover loaves |\n| --- | --- |\n| Monday | 37 |\n| Tuesday | 34 |\n| Wednesday | 38 |\n| Thursday | 28 |\n| Friday | 34 |" } ] }, { "id": "31950", "image": "31950.png", "conversations": [ { "from": "human", "question": "Mrs. Trevino kept track of her students' scores on last year's final exam. How many students scored exactly 24 points?\n" }, { "from": "gpt", "solution": "For the number 24, the stem is 2, and the leaf is 4. Find the row where the stem is 2. In that row, count all the leaves equal to 4.\n\nYou counted 0 leaves. 0 students scored exactly24 points.", "answer": "0", "table": "**Final exam scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 7 |\n| 2 | |\n| 3 | 2, 3, 8, 9 |\n| 4 | 0 |\n| 5 | 1, 2, 4, 5 |\n| 6 | 0, 3, 5 |\n| 7 | 1 |\n| 8 | 0, 6, 9, 9 |" } ] }, { "id": "31953", "image": "31953.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does the Thunder versus Blue Jays game end?\n" }, { "from": "gpt", "solution": "Find the Thunder versus Blue Jays game on the schedule. Find the end time for the Thunder versus Blue Jays game.\n\nThunder versus Blue Jays: 1:15 P. M.", "answer": "1:15 P.M.", "table": "**Baseball tournament schedule**\n\n| Game | Begin | End |\n| --- | --- | --- |\n| Lions versus Eagles | 8:45 A.M. | 10:35 A.M. |\n| Rattlesnakes versus Bears | 9:40 A.M. | 11:25 A.M. |\n| Wolves versus Jaguars | 11:05 A.M. | 12:15 P.M. |\n| Thunder versus Blue Jays | 11:40 A.M. | 1:15 P.M. |\n| Cardinals versus Cobras | 12:40 P.M. | 2:35 P.M. |\n| Vipers versus Crocodiles | 2:00 P.M. | 3:10 P.M. |\n| Sharks versus Cougars | 2:40 P.M. | 3:40 P.M. |\n| Tigers versus Red Hawks | 3:30 P.M. | 4:30 P.M. |\n| Lightning versus Ducks | 3:35 P.M. | 4:50 P.M. |\n| Fire versus Cyclones | 4:35 P.M. | 5:35 P.M. |" } ] }, { "id": "31958", "image": "31958.png", "conversations": [ { "from": "human", "question": "A parent volunteer counted the number of boxes sold by each student participating in the cookie fundraiser. How many students sold exactly 1 box of cookies?\n" }, { "from": "gpt", "solution": "Find the row for 1 box of cookies and read the frequency. The frequency is 6.\n\n6 students sold exactly1 box of cookies.", "answer": "6", "table": "**Selling cookies**\n\n| Boxes sold | Frequency |\n| --- | --- |\n| 1 | 6 |\n| 2 | 0 |\n| 3 | 15 |\n| 4 | 16 |" } ] }, { "id": "31960", "image": "31960.png", "conversations": [ { "from": "human", "question": "Gabrielle's classmates revealed how many science articles they read. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 4, 8, 10, 7, 6, 7\n\nFirst, find the greatest number. The greatest number is 10.\n\nNext, find the least number. The least number is 4.\n\nSubtract the least number from the greatest number:\n\n10 − 4 = 6\n\nThe range is 6.", "answer": "6", "table": "**Science articles read**\n\n| Name | Number of science articles |\n| --- | --- |\n| Gabrielle | 9 |\n| Jasmine | 4 |\n| Rita | 8 |\n| Kyle | 10 |\n| Isabella | 7 |\n| Austin | 6 |\n| Deion | 7 |" } ] }, { "id": "31964", "image": "31964.png", "conversations": [ { "from": "human", "question": "Ayana purchased 0.5 kilograms of Greek olives. What was the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the Greek olives. Multiply the price per kilogram by the number of kilograms.\n$3 × 0.5 = $1.50\nThe total cost was $1.50.", "answer": "1.50", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| Greek olives | $3 per kg |\n| black olives | $2 per kg |\n| Spanish olives | $3 per kg |\n| green olives | $3 per kg |" } ] }, { "id": "31969", "image": "31969.png", "conversations": [ { "from": "human", "question": "The advertising agency counted the number of billboards in each city in the state. How many cities have at least 30 billboards but fewer than 50 billboards?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 3 and 4.\n\nYou counted 5 leaves, which are blue in the stem-and-leaf plot above. 5 cities have at least 30 billboards but fewer than 50 billboards.", "answer": "5", "table": "**Billboards per city**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 3, 4 |\n| 2 | 0, 1, 3, 6, 8 |\n| 3 | 5, 5, 7, 9 |\n| 4 | 9 |\n| 5 | 4 |\n| 6 | 0, 8 |" } ] }, { "id": "31970", "image": "31970.png", "conversations": [ { "from": "human", "question": "Each train has 10 cars. How many cars are on 6 trains?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 60 cars on 6 trains.", "answer": "60", "table": "| Number of trains | Number of cars |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | 40 |\n| 5 | 50 |\n| 6 | ? |" } ] }, { "id": "31973", "image": "31973.png", "conversations": [ { "from": "human", "question": "The shop teacher, Mr. Suzuki, wrote down how many picture frames the students made last week. How many students made more than 1 picture frame?\n" }, { "from": "gpt", "solution": "Find the rows for 2 and 3 picture frames. Add the frequencies for these rows.\n\nAdd:\n\n11 + 7 = 18\n\n18 students made more than 1 picture frame.", "answer": "18", "table": "**Making picture frames**\n\n| Picture frames made | Frequency |\n| --- | --- |\n| 0 | 0 |\n| 1 | 2 |\n| 2 | 11 |\n| 3 | 7 |" } ] }, { "id": "31974", "image": "31974.png", "conversations": [ { "from": "human", "question": "An archer recalled how many times he hit the bull's-eye in the past 4 days. On which day did the archer hit the most bull's-eyes?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 18.\n\nNow find the corresponding day. Wednesday corresponds to 18.", "answer": "Wednesday", "table": "**Bull's-eyes**\n\n| Day | Number of bull's-eyes |\n| --- | --- |\n| Wednesday | 18 |\n| Thursday | 15 |\n| Friday | 17 |\n| Saturday | 16 |" } ] }, { "id": "31978", "image": "31978.png", "conversations": [ { "from": "human", "question": "Betty owns six dogs and monitors how much food they eat in a month. What fraction of the food was eaten by Blue? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many kilograms of food were eaten by Blue.\n\n23\n\nFind how many kilograms of food the dogs ate in total.\n\n28 + 10 + 29 + 13 + 47 + 23 = 150\n\nDivide 23 by150.\n\n\\frac{23}{150}\n\n\\frac{23}{150} of kilograms of food were eaten by Blue.", "answer": "23/150", "table": "**Dog food consumption**\n\n| Dog | Kilograms of food |\n| --- | --- |\n| Lucky | 28 |\n| Cuddles | 10 |\n| Shasta | 29 |\n| Bear | 13 |\n| Scooter | 47 |\n| Blue | 23 |" } ] }, { "id": "31986", "image": "31986.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{10 - 0}{19 - 18}\n = \\frac{10}{1}\n = 10\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{20 - 0}{20 - 18}\n = \\frac{20}{2}\n = 10\nThe two rates of change are the same.\nIf you checked the rate of change between rows 2 and 3, you would find that it is also 10.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 18 | 0 |\n| 19 | 10 |\n| 20 | 20 |" } ] }, { "id": "31997", "image": "31997.png", "conversations": [ { "from": "human", "question": "The manager of a party supply store researched how many balloons it sold in the past 6 days. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n4, 3, 4, 5, 5, 5\n\nFirst, arrange the numbers from least to greatest:\n\n3, 4, 4, 5, 5, 5\n\nNow count how many times each number appears.\n\n3 appears 1 time.\n4 appears 2 times.\n5 appears 3 times.\n\nThe number that appears most often is 5.\n\nThe mode is 5.", "answer": "5", "table": "**Balloons sold**\n\n| Day | Number of balloons |\n| --- | --- |\n| Saturday | 4 |\n| Sunday | 3 |\n| Monday | 4 |\n| Tuesday | 5 |\n| Wednesday | 5 |\n| Thursday | 5 |" } ] }, { "id": "31999", "image": "31999.png", "conversations": [ { "from": "human", "question": "A county agency recorded the money donated to several charitable causes over time. Which cause raised more money in March, animals or medical research?\n" }, { "from": "gpt", "solution": "Find the March column. Compare the numbers in this column for animals and medical research.\n\n$3.00 is more than $1.00. In March, more money was raised for medical research.", "answer": "medical research", "table": "**Donations received**\n\n| Cause | March | April |\n| --- | --- | --- |\n| Animals | $1 | $9 |\n| Education | $10 | $3 |\n| Medical research | $3 | $4 |" } ] }, { "id": "32002", "image": "32002.png", "conversations": [ { "from": "human", "question": "Reggie has $0.50. Does he have enough to buy a thin green highlighter and a small box of paper clips?\n" }, { "from": "gpt", "solution": "Add the price of a thin green highlighter and the price of a small box of paper clips:\n\n$0.14 + $0.25 = $0.39\n\n$0.39 is less than $0.50. Reggie does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| bright yellow highlighter | $0.29 |\n| thick black marker | $0.72 |\n| thin green highlighter | $0.14 |\n| small box of paper clips | $0.25 |\n| thin blue marker | $0.77 |" } ] }, { "id": "32007", "image": "32007.png", "conversations": [ { "from": "human", "question": "How much would it cost to buy 5 pounds of soybeans?\n" }, { "from": "gpt", "solution": "Find the cost of the soybeans. Multiply the price per pound by the number of pounds.\n\n$1.40 × 5 = $7\n\nIt would cost $7.", "answer": "7", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| sesame seeds | $4.65 per lb |\n| pumpkin seeds | $3.95 per lb |\n| soybeans | $1.40 per lb |\n| lentils | $1.08 per lb |" } ] }, { "id": "32009", "image": "32009.png", "conversations": [ { "from": "human", "question": "Lisa measured the length of each scarf in the clothing store where she works. How many scarves are at least 60 centimeters but less than 80 centimeters?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 6 and 7.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 scarves are at least 60 centimeters but less than 80 centimeters.", "answer": "4", "table": "**Scarf lengths (centimeters)**\n\n| Stem | Leaf |\n| --- | --- |\n| 6 | 9 |\n| 7 | 1, 4, 8 |\n| 8 | 7, 7 |\n| 9 | 0 |" } ] }, { "id": "32023", "image": "32023.png", "conversations": [ { "from": "human", "question": "Several children compared how many thank-you notes they had written during the previous month. How many children wrote fewer than 3 thank-you notes?\n" }, { "from": "gpt", "solution": "Find the rows for 0, 1, and 2 thank-you notes. Add the frequencies for these rows.\n\nAdd:\n\n0 + 18 + 7 = 25\n\n25 children wrote fewer than 3 thank-you notes.", "answer": "25", "table": "**Writing thank-you notes**\n\n| Thank-you notes written | Frequency |\n| --- | --- |\n| 0 | 0 |\n| 1 | 18 |\n| 2 | 7 |\n| 3 | 13 |\n| 4 | 2 |" } ] }, { "id": "32025", "image": "32025.png", "conversations": [ { "from": "human", "question": "How much money does Joey need to buy a globe key chain and a piano key chain?\n" }, { "from": "gpt", "solution": "Add the price of a globe key chain and the price of a piano key chain:\n\n$2.58 + $1.64 = $4.22\n\nJoey needs $4.22.", "answer": "4.22", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| tennis ball key chain | $1.28 |\n| football helmet key chain | $2.69 |\n| alligator key chain | $1.49 |\n| piano key chain | $1.64 |\n| globe key chain | $2.58 |\n| puppy key chain | $1.51 |" } ] }, { "id": "32052", "image": "32052.png", "conversations": [ { "from": "human", "question": "Each dish has 2 cherries. How many cherries are in 3 dishes?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 6 cherries in 3 dishes.", "answer": "6", "table": "| Number of dishes | Number of cherries |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | ? |" } ] }, { "id": "32061", "image": "32061.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Larry is at the landmark sculpture. If he wants to arrive at the skyscraper at 1.30 P.M., what time should he get on the bus?\n" }, { "from": "gpt", "solution": "Look at the row for the skyscraper. Find the bus that arrives at the skyscraper at 1:30 P. M.\n\nLook up the column until you find the row for the landmark sculpture.\n\nLarry should get on the bus at 1:00 P. M.", "answer": "1:00 P.M.", "table": "**Tour bus schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 | Column 5 |\n| --- | --- | --- | --- | --- |\n| governor's mansion | 10:00 A.M. | 10:30 A.M. | 10:45 A.M. | 11:00 A.M. |\n| historic house | 10:30 A.M. | 11:00 A.M. | 11:15 A.M. | 11:30 A.M. |\n| science museum | 11:00 A.M. | 11:30 A.M. | 11:45 A.M. | 12:00 P.M. |\n| university campus | 11:45 A.M. | 12:15 P.M. | 12:30 P.M. | 12:45 P.M. |\n| landmark sculpture | 12:30 P.M. | 1:00 P.M. | 1:15 P.M. | 1:30 P.M. |\n| skyscraper | 1:00 P.M. | 1:30 P.M. | 1:45 P.M. | 2:00 P.M. |" } ] }, { "id": "32062", "image": "32062.png", "conversations": [ { "from": "human", "question": "For a few weeks, a music producer kept track of newly released songs on a music streaming website. She recorded the music genre and number of times the song was played on its release date. What is the probability that a randomly selected song was country and had 0-500 plays? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the song was country\" and B be the event \"the song had 0-500 plays\".\nTo find the probability that a song was country and had 0-500 plays, first identify the sample space and the event.\nThe outcomes in the sample space are the different songs. Each song is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the song was country and had 0-500 plays\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the song was country and had 0-500 plays\", so look at the table to see how many songs were country and had 0-500 plays.\nThe number of songs that were country and had 0-500 plays is 3.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of songs.\n3 + 7 + 4 + 6 = 20\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{3}{20}\nThe probability that a song was country and had 0-500 plays is \\frac{3}{20}.", "answer": "3/20", "table": "| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| | 0-500 plays | 501-1,000 plays |\n| Country | 3 | 4 |\n| Rock | 7 | 6 |" } ] }, { "id": "32063", "image": "32063.png", "conversations": [ { "from": "human", "question": "The receptionist at a doctor's office kept track of each patient's wait time. How many people waited for at least 19 minutes but less than 30 minutes?\n" }, { "from": "gpt", "solution": "Find the row with stem 1. Count all the leaves greater than or equal to 9.\n\nCount all the leaves in the row with stem 2.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plots above. 3 people waited for at least 19 minutes but less than 30 minutes.", "answer": "3", "table": "**Doctor's office wait times (minutes)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 2 |\n| 2 | 1, 3, 3 |\n| 3 | 2, 3, 5 |\n| 4 | 1, 6 |\n| 5 | 3, 3, 7, 9 |\n| 6 | 0, 0, 4, 8, 8 |\n| 7 | 8 |\n| 8 | 4, 6 |" } ] }, { "id": "32065", "image": "32065.png", "conversations": [ { "from": "human", "question": "How much money does Hayley need to buy 8 leaf blowers?\n" }, { "from": "gpt", "solution": "Find the total cost of 8 leaf blowers by multiplying 8 times the price of a leaf blower.\n\n$89.00 × 8 = $712.00\n\nHayley needs $712.00.", "answer": "712", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| iron bench | $76.00 |\n| leaf blower | $89.00 |\n| beach umbrella | $81.00 |\n| red clay pot | $20.00 |" } ] }, { "id": "32067", "image": "32067.png", "conversations": [ { "from": "human", "question": "A machine at the candy factory dispensed different numbers of lemon-flavored candies into various bags. How many bags had at least 54 lemon-flavored candies?\n" }, { "from": "gpt", "solution": "Find the row with stem 5. Count all the leaves greater than or equal to 4.\n\nCount all the leaves in the rows with stems 6, 7, 8, and 9.\n\nYou counted 7 leaves, which are blue in the stem-and-leaf plots above. 7 bags had at least 54 lemon-flavored candies.", "answer": "7", "table": "**Lemon-flavored candies per bag**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 2, 7 |\n| 2 | 4 |\n| 3 | 2, 3, 7 |\n| 4 | 3, 4, 5, 5, 6 |\n| 5 | 2 |\n| 6 | 9 |\n| 7 | 3, 9 |\n| 8 | 4, 4, 9 |\n| 9 | 0 |" } ] }, { "id": "32071", "image": "32071.png", "conversations": [ { "from": "human", "question": "What is the total cost for 2 pounds of semisweet chocolate chips and 1 pound of butterscotch chips?\n" }, { "from": "gpt", "solution": "Find the cost of the semisweet chocolate chips. Multiply:\n\n$5 × 2 = $10\n\nFind the cost of the butterscotch chips. Multiply:\n\n$6 × 1 = $6\n\nNow find the total cost by adding:\n\n$10 + $6 = $16\n\nThe total cost is $16.", "answer": "16", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| semisweet chocolate chips | $5 per pound |\n| butterscotch chips | $6 per pound |\n| dark chocolate chips | $8 per pound |\n| milk chocolate chips | $2 per pound |\n| white chocolate chips | $8 per pound |" } ] }, { "id": "32072", "image": "32072.png", "conversations": [ { "from": "human", "question": "A county agency recorded the money donated to several charitable causes over time. How much money was raised for parks in May?\n" }, { "from": "gpt", "solution": "First, find the row for parks. Then find the number in the May column.\n\nThis number is $5.00. $5 was raised for parks in May.", "answer": "5", "table": "**Donations received**\n\n| Cause | May | June |\n| --- | --- | --- |\n| Parks | $5 | $12 |\n| Medical research | $3 | $16 |\n| Education | $8 | $18 |\n| Animals | $14 | $16 |\n| Hunger | $1 | $2 |" } ] }, { "id": "32077", "image": "32077.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $385, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $385, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $205 | 19,200 | 4,300 |\n| $385 | 14,800 | 7,000 |\n| $565 | 10,400 | 9,700 |\n| $745 | 6,000 | 12,400 |\n| $925 | 1,600 | 15,100 |" } ] }, { "id": "32088", "image": "32088.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Ben is at Rocky Ravine Town. If he wants to arrive at Rollercoaster Land at 5.30 A.M., what time should he get on the train?\n" }, { "from": "gpt", "solution": "Look at the row for Rollercoaster Land. Find the train that arrives at Rollercoaster Land at 5:30 A. M.\n\nLook up the column until you find the row for Rocky Ravine Town.\n\nBen should get on the train at 4:00 A. M.", "answer": "4:00 A.M.", "table": "**Train schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 | Column 5 |\n| --- | --- | --- | --- | --- |\n| Floral Gardens | 3:00 A.M. | 3:15 A.M. | 3:15 P.M. | 5:30 P.M. |\n| Rocky Ravine Town | 4:00 A.M. | 4:15 A.M. | 4:15 P.M. | 6:30 P.M. |\n| Chickenville | 4:45 A.M. | 5:00 A.M. | 5:00 P.M. | 7:15 P.M. |\n| Rollercoaster Land | 5:30 A.M. | 5:45 A.M. | 5:45 P.M. | 8:00 P.M. |\n| Gecko Paradise | 6:00 A.M. | 6:15 A.M. | 6:15 P.M. | 8:30 P.M. |\n| Snowy Mountain | 6:45 A.M. | 7:00 A.M. | 7:00 P.M. | 9:15 P.M. |" } ] }, { "id": "32097", "image": "32097.png", "conversations": [ { "from": "human", "question": "How much more does an antique marbletop vanity cost than an antique teak wood end table?\n" }, { "from": "gpt", "solution": "Subtract the price of an antique teak wood end table from the price of an antique marbletop vanity.\n\n$830.00 - $440.00 = $390.00\n\nAn antique marbletop vanity costs $390.00 more than an antique teak wood end table.", "answer": "390", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| antique cedar cabinet | $977.00 |\n| antique elm coffee table | $357.00 |\n| antique cherry bookcase | $933.00 |\n| antique teak wood end table | $440.00 |\n| antique marbletop vanity | $830.00 |" } ] }, { "id": "32108", "image": "32108.png", "conversations": [ { "from": "human", "question": "A researcher recorded the number of cows on each farm in the county. How many farms have at least 30 cows but fewer than 33 cows?\n" }, { "from": "gpt", "solution": "Find the row with stem 3. Count all the leaves greater than or equal to 0 and less than 3.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 farms have at least 30 cows but fewer than 33 cows.", "answer": "2", "table": "**Cows per farm**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 1, 2, 5, 7 |\n| 2 | 1, 3, 5, 7 |\n| 3 | 1, 2, 9 |\n| 4 | 6, 6, 9 |\n| 5 | 4, 4, 4, 8, 9 |\n| 6 | 4, 8, 9 |" } ] }, { "id": "32110", "image": "32110.png", "conversations": [ { "from": "human", "question": "Each necklace has 5 emeralds. How many emeralds are on 5 necklaces?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 25 emeralds on 5 necklaces.", "answer": "25", "table": "| Number of necklaces | Number of emeralds |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | 20 |\n| 5 | ? |" } ] }, { "id": "32125", "image": "32125.png", "conversations": [ { "from": "human", "question": "Riley counted the number of words per page in her new book. What is the smallest number of words?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 6.\n\nNow find the lowest leaf in the first row. The lowest leaf is 5.\n\nThe smallest number of words has a stem of 6 and a leaf of 5. Write the stem first, then the leaf: 65.\n\nThe smallest number of words is 65 words.", "answer": "65", "table": "**Words per page**\n\n| Stem | Leaf |\n| --- | --- |\n| 6 | 5, 6, 9 |\n| 7 | 1, 2, 4, 9 |\n| 8 | 3, 3, 4, 8, 8 |\n| 9 | 0 |" } ] }, { "id": "32129", "image": "32129.png", "conversations": [ { "from": "human", "question": "Marcy counted the number of silver beads on each bracelet at Oak Grove Jewelry, the store where she works. How many bracelets had exactly 20 silver beads?\n" }, { "from": "gpt", "solution": "For the number 20, the stem is 2, and the leaf is 0. Find the row where the stem is 2. In that row, count all the leaves equal to 0.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 bracelets had exactly20 silver beads.", "answer": "3", "table": "**Silver beads per bracelet**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 5 |\n| 2 | 0, 0, 0, 1 |\n| 3 | 1, 9 |\n| 4 | 6 |\n| 5 | |\n| 6 | 6 |\n| 7 | 8 |\n| 8 | 2, 8, 9 |" } ] }, { "id": "32131", "image": "32131.png", "conversations": [ { "from": "human", "question": "Kylie kept track of the number of characters in each book she read. How many books had fewer than 60 characters?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1, 2, 3, 4, and 5.\n\nYou counted 9 leaves, which are blue in the stem-and-leaf plot above. 9 books had fewer than 60 characters.", "answer": "9", "table": "**Characters per book**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 4 |\n| 2 | 5, 5, 6, 7 |\n| 3 | |\n| 4 | 0, 9 |\n| 5 | 1 |" } ] }, { "id": "32136", "image": "32136.png", "conversations": [ { "from": "human", "question": "A farm equipment company kept a record of the number of tractors made each month. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n8, 10, 10, 8, 8, 5\n\nFirst, arrange the numbers from least to greatest:\n\n5, 8, 8, 8, 10, 10\n\nNow count how many times each number appears.\n\n5 appears 1 time.\n8 appears 3 times.\n10 appears 2 times.\n\nThe number that appears most often is 8.\n\nThe mode is 8.", "answer": "8", "table": "**Tractors made**\n\n| Month | Number of tractors |\n| --- | --- |\n| June | 8 |\n| July | 10 |\n| August | 10 |\n| September | 8 |\n| October | 8 |\n| November | 5 |" } ] }, { "id": "32139", "image": "32139.png", "conversations": [ { "from": "human", "question": "Ronald looked at his e-mail outbox to see how many e-mails he sent each day. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n10, 10, 10, 5, 5\n\nFirst, arrange the numbers from least to greatest:\n\n5, 5, 10, 10, 10\n\nNow count how many times each number appears.\n\n5 appears 2 times.\n10 appears 3 times.\n\nThe number that appears most often is 10.\n\nThe mode is 10.", "answer": "10", "table": "**E-mails sent**\n\n| Day | Number of e-mails |\n| --- | --- |\n| Saturday | 10 |\n| Sunday | 10 |\n| Monday | 10 |\n| Tuesday | 5 |\n| Wednesday | 5 |" } ] }, { "id": "32143", "image": "32143.png", "conversations": [ { "from": "human", "question": "If Wesley buys 3 kilograms of blue beads, how much will he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the blue beads. Multiply the price per kilogram by the number of kilograms.\n\n$2 × 3 = $6\n\nHe will spend $6.", "answer": "6", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| blue beads | $2/kg |\n| yellow beads | $3/kg |\n| green beads | $3/kg |\n| red beads | $3/kg |" } ] }, { "id": "32149", "image": "32149.png", "conversations": [ { "from": "human", "question": "Some students compared how many pets they have. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n10, 7, 1, 1, 6, 9, 10, 4\n\nFirst, count how many numbers are in the group.\n\nThere are 8 numbers.\n\nNow add all the numbers together:\n\n10 + 7 + 1 + 1 + 6 + 9 + 10 + 4 = 48\n\nNow divide the sum by the number of numbers:\n\n48 ÷ 8 = 6\n\nThe mean is 6.", "answer": "6", "table": "**Pets**\n\n| Name | Number of pets |\n| --- | --- |\n| Javier | 10 |\n| Noah | 7 |\n| Tammy | 1 |\n| Sanjay | 1 |\n| Rosanne | 6 |\n| Chandler | 9 |\n| Wendy | 10 |\n| Meg | 4 |" } ] }, { "id": "32150", "image": "32150.png", "conversations": [ { "from": "human", "question": "Look at Benjamin's pay stub. Benjamin lives in a state that has state income tax. How much payroll tax did Benjamin pay in total?\n" }, { "from": "gpt", "solution": "To find the total payroll tax, add the federal income tax, state income tax, and other taxes.\nThe federal income tax is $112.41. The state income tax is $78.71. The other taxes are $76.80. Add.\n$112.41 + $78.71 + $76.80 = $267.92\nBenjamin paid a total of $267.92 in payroll tax.", "answer": "267.92", "table": "| Employee | Pay period | |\n| --- | --- | --- |\n| Benjamin Yee | March 16-31 | |\n| Total earnings | | $1,004.00 |\n| Federal income tax | $112.41 | |\n| State income tax | $78.71 | |\n| Other taxes | $76.80 | |\n| Total taxes | | ? |\n| Pay after taxes | | ? |" } ] }, { "id": "32164", "image": "32164.png", "conversations": [ { "from": "human", "question": "Look at Dustin's pay stub. Dustin lives in a state that has state income tax. How much did Dustin make after taxes?\n" }, { "from": "gpt", "solution": "Find how much Dustin made after taxes. Find the total payroll tax, then subtract it from the total earnings.\nTo find the total payroll tax, add the federal income tax, state income tax, and other taxes.\nThe total earnings are $2,400.00. The total payroll tax is $697.70. Subtract to find the difference.\n$2,400.00 - $697.70 = $1,702.30\nDustin made $1,702.30 after taxes.", "answer": "1,702.30", "table": "| Employee | Pay period | |\n| --- | --- | --- |\n| Dustin Cooper | May 16-31 | |\n| Total earnings | | $2,400.00 |\n| Federal income tax | $363.10 | |\n| State income tax | $151.00 | |\n| Other taxes | $183.60 | |\n| Total taxes | | ? |\n| Pay after taxes | | ? |" } ] }, { "id": "32166", "image": "32166.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $975, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $975, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $755 | 16,600 | 22,800 |\n| $865 | 12,900 | 22,900 |\n| $975 | 9,200 | 23,000 |\n| $1,085 | 5,500 | 23,100 |\n| $1,195 | 1,800 | 23,200 |" } ] }, { "id": "32171", "image": "32171.png", "conversations": [ { "from": "human", "question": "Trevor went to the store and bought 2+3/4 pounds of dried mango. How much did he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the dried mango. Multiply the price per pound by the number of pounds.\n$5 × 2\\frac{3}{4} = $5 × 2.75 = $13.75\nHe spent $13.75.", "answer": "13.75", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| raisins | $4 per pound |\n| dried mango | $5 per pound |\n| dried pineapple | $3 per pound |\n| banana chips | $6 per pound |\n| dried apple | $5 per pound |" } ] }, { "id": "32173", "image": "32173.png", "conversations": [ { "from": "human", "question": "Monica has $130. Does she have enough to buy an oil painting and a chandelier?\n" }, { "from": "gpt", "solution": "Add the price of an oil painting and the price of a chandelier:\n\n$64 + $59 = $123\n\n$123 is less than $130. Monica does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| chandelier | $59 |\n| oil painting | $64 |\n| silver coat rack | $97 |\n| rug | $34 |" } ] }, { "id": "32183", "image": "32183.png", "conversations": [ { "from": "human", "question": "A printing shop kept a log of how many sheets of paper were used in the past 5 days. How many sheets of paper in total did the printing shop use on Tuesday and Friday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nTuesday: 6,091\nFriday: 1,332\n\nNow add: 6,091 + 1,332 = 7,423.\n\nThe printing shop used 7,423 sheets of paper on Tuesday and Friday.", "answer": "7,423", "table": "**Sheets of paper used**\n\n| Day | Number of sheets of paper |\n| --- | --- |\n| Tuesday | 6,091 |\n| Wednesday | 2,066 |\n| Thursday | 2,038 |\n| Friday | 1,332 |\n| Saturday | 2,103 |" } ] }, { "id": "32198", "image": "32198.png", "conversations": [ { "from": "human", "question": "Tom, a journalism student, counted the number of pages in several major magazines. How many magazines had exactly 46 pages?\n" }, { "from": "gpt", "solution": "For the number 46, the stem is 4, and the leaf is 6. Find the row where the stem is 4. In that row, count all the leaves equal to 6.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 magazines had exactly 46 pages.", "answer": "2", "table": "**Pages per magazine**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 1, 2, 3 |\n| 3 | 1 |\n| 4 | 0, 1, 6, 6, 7, 7 |\n| 5 | 0, 1, 2, 3, 7 |\n| 6 | 1, 7, 8, 8 |" } ] }, { "id": "32206", "image": "32206.png", "conversations": [ { "from": "human", "question": "Cooper wrote down how many cups of lemonade he sold in the past 4 days. On which day did the stand sell the most lemonade?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 688.\n\nNow find the corresponding day. Sunday corresponds to 688.", "answer": "Sunday", "table": "**Cups of lemonade sold**\n\n| Day | Number of cups |\n| --- | --- |\n| Friday | 668 |\n| Saturday | 683 |\n| Sunday | 688 |\n| Monday | 638 |" } ] }, { "id": "32216", "image": "32216.png", "conversations": [ { "from": "human", "question": "Jack counted the number of articles in several different magazines. How many magazines had at least 10 articles but less than 40 articles?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1, 2, and 3.\n\nYou counted 10 leaves, which are blue in the stem-and-leaf plot above. 10 magazines had at least 10 articles but less than 40 articles.", "answer": "10", "table": "**Articles per magazine**\n\n| Stem | Leaf |\n| --- | --- |\n| 0 | 5 |\n| 1 | 0, 2, 3, 6, 9, 9 |\n| 2 | 3, 7 |\n| 3 | 1, 6 |" } ] }, { "id": "32219", "image": "32219.png", "conversations": [ { "from": "human", "question": "The teachers at a middle school counted how many computers they had in their classrooms. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n2, 3, 3, 2, 2\n\nFirst, arrange the numbers from least to greatest:\n\n2, 2, 2, 3, 3\n\nNow count how many times each number appears.\n\n2 appears 3 times.\n3 appears 2 times.\n\nThe number that appears most often is 2.\n\nThe mode is 2.", "answer": "2", "table": "**Computers in classrooms**\n\n| Teacher | Number of computers |\n| --- | --- |\n| Mr. Lim | 2 |\n| Mr. Schmidt | 3 |\n| Miss Murphy | 3 |\n| Ms. Cohen | 2 |\n| Mr. Morales | 2 |" } ] }, { "id": "32220", "image": "32220.png", "conversations": [ { "from": "human", "question": "To figure out how many vacation days she had left to use, Rose looked over her old calendars to figure out how many days of vacation she had taken each year. According to the table, what was the rate of change between 2010 and 2011?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{25 vacation days - 23 vacation days}{2011 - 2010}\n = \\frac{25 vacation days - 23 vacation days}{1 year}\n = \\frac{2 vacation days}{1 year}\n = 2 vacation days per year\nThe rate of change between 2010 and 2011 was 2 vacation days per year.", "answer": "2", "table": "**Vacation days taken by Rose**\n\n| Year | Vacation days |\n| --- | --- |\n| 2010 | 23 |\n| 2011 | 25 |\n| 2012 | 25 |\n| 2013 | 20 |\n| 2014 | 38 |" } ] }, { "id": "32235", "image": "32235.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $1,145, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $1,145, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $945 | 18,000 | 3,400 |\n| $1,145 | 17,100 | 7,500 |\n| $1,345 | 16,200 | 11,600 |\n| $1,545 | 15,300 | 15,700 |\n| $1,745 | 14,400 | 19,800 |" } ] }, { "id": "32236", "image": "32236.png", "conversations": [ { "from": "human", "question": "Some dealerships compared their vehicle sales. In all, how many vehicles did Cars of Pryor Falls and Truck City sell?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nCars of Pryor Falls: 4,557\nTruck City: 3,246\n\nNow add: 4,557 + 3,246 = 7,803.\n\nIn all, Cars of Pryor Falls and Truck City sold 7,803 vehicles.", "answer": "7,803", "table": "**Vehicle sales**\n\n| Dealership | Number of vehicles |\n| --- | --- |\n| Cars of Pryor Falls | 4,557 |\n| Truck City | 3,246 |\n| Braverton Autos | 1,174 |" } ] }, { "id": "32237", "image": "32237.png", "conversations": [ { "from": "human", "question": "Some friends went bowling and kept track of their scores. Who had the lowest score?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 50.\n\nNow find the corresponding name. Wesley corresponds to 50.", "answer": "Wesley", "table": "**Bowling scores**\n\n| Name | Score |\n| --- | --- |\n| Vince | 57 |\n| Brennan | 59 |\n| Evelyn | 52 |\n| Wesley | 50 |" } ] }, { "id": "32241", "image": "32241.png", "conversations": [ { "from": "human", "question": "Employees at Bert's Movies tracked the number of movies that customers rented last month. How many customers rented a movie fewer than 2 times?\n" }, { "from": "gpt", "solution": "Find the rows for 0 and 1 time. Add the frequencies for these rows.\n\nAdd:\n\n0 + 16 = 16\n\n16 customers rented a movie fewer than 2 times.", "answer": "16", "table": "**Renting movies last month**\n\n| Number of times | Frequency |\n| --- | --- |\n| 0 | 0 |\n| 1 | 16 |\n| 2 | 12 |\n| 3 | 20 |\n| 4 | 5 |\n| 5 | 3 |" } ] }, { "id": "32245", "image": "32245.png", "conversations": [ { "from": "human", "question": "Each aquarium has 5 goldfish. How many goldfish are in 6 aquariums?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 30 goldfish in 6 aquariums.", "answer": "30", "table": "| Number of aquariums | Number of goldfish |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | 20 |\n| 5 | 25 |\n| 6 | ? |" } ] }, { "id": "32254", "image": "32254.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{3 - 4}{16 - 15}\n = \\frac{-1}{1}\n = -1\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{2 - 3}{17 - 16}\n = \\frac{-1}{1}\n = -1\nThe two rates of change are the same.\n1.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 15 | 4 |\n| 16 | 3 |\n| 17 | 2 |" } ] }, { "id": "32260", "image": "32260.png", "conversations": [ { "from": "human", "question": "A candy dispenser put various numbers of orange candies into bags. How many bags had at least 22 orange candies but fewer than 86 orange candies?\n" }, { "from": "gpt", "solution": "Find the row with stem 2. Count all the leaves greater than or equal to 2.\n\nCount all the leaves in the rows with stems 3, 4, 5, 6, and 7.\n\nIn the row with stem 8, count all the leaves less than 6.\n\nYou counted 11 leaves, which are blue in the stem-and-leaf plots above. 11 bags had at least 22 orange candies but fewer than 86 orange candies.", "answer": "11", "table": "**Orange candies per bag**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 6, 8, 9 |\n| 2 | 1, 6, 9 |\n| 3 | 9 |\n| 4 | 1 |\n| 5 | 2, 2, 5, 6, 8 |\n| 6 | 1, 2 |\n| 7 | |\n| 8 | 9 |" } ] }, { "id": "32265", "image": "32265.png", "conversations": [ { "from": "human", "question": "How much money does Linda need to buy a plaid scarf and a yellow skirt?\n" }, { "from": "gpt", "solution": "Add the price of a plaid scarf and the price of a yellow skirt:\n\n$8.00 + $7.00 = $15.00\n\nLinda needs $15.00.", "answer": "15", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pair of jeans | $3.00 |\n| plaid scarf | $8.00 |\n| black skirt | $7.00 |\n| yellow skirt | $7.00 |" } ] }, { "id": "32284", "image": "32284.png", "conversations": [ { "from": "human", "question": "The teachers at a middle school counted how many computers they had in their classrooms. Which teacher has the most computers?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 19.\n\nNow find the corresponding teacher. Mr. Watson corresponds to 19.", "answer": "Mr. Watson", "table": "**Computers in classrooms**\n\n| Teacher | Number of computers |\n| --- | --- |\n| Mrs. Rossi | 18 |\n| Mr. Watson | 19 |\n| Mrs. Tan | 11 |\n| Ms. Cohen | 17 |" } ] }, { "id": "32285", "image": "32285.png", "conversations": [ { "from": "human", "question": "An office manager counts the number of letters sent by each of her company's employees each week. How many employees mailed at least 3 letters?\n" }, { "from": "gpt", "solution": "Find the rows for 3 and 4 letters. Add the frequencies for these rows.\n\nAdd:\n\n20 + 9 = 29\n\n29 employees mailed at least 3 letters.", "answer": "29", "table": "**Mailing letters last week**\n\n| Letters mailed | Frequency |\n| --- | --- |\n| 0 | 1 |\n| 1 | 5 |\n| 2 | 16 |\n| 3 | 20 |\n| 4 | 9 |" } ] }, { "id": "32287", "image": "32287.png", "conversations": [ { "from": "human", "question": "How much would it cost to buy 1 pound of Canadian bacon?\n" }, { "from": "gpt", "solution": "Find the cost of the Canadian bacon. Multiply the price per pound by the number of pounds.\n\n$4 × 1 = $4\n\nIt would cost $4.", "answer": "4", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| sliced ham | $8 per pound |\n| prosciutto | $6 per pound |\n| pepperoni | $8 per pound |\n| Canadian bacon | $4 per pound |\n| smoked bacon | $6 per pound |\n| salami | $5 per pound |" } ] }, { "id": "32288", "image": "32288.png", "conversations": [ { "from": "human", "question": "The shop teacher, Mr. Jones, wrote down how many picture frames the students made last week. How many students made exactly 2 picture frames?\n" }, { "from": "gpt", "solution": "Find the row for 2 picture frames and read the frequency. The frequency is 2.\n\n2 students made exactly2 picture frames.", "answer": "2", "table": "**Making picture frames**\n\n| Picture frames made | Frequency |\n| --- | --- |\n| 0 | 15 |\n| 1 | 7 |\n| 2 | 2 |\n| 3 | 14 |" } ] }, { "id": "32306", "image": "32306.png", "conversations": [ { "from": "human", "question": "A sports network displayed the number of Olympic medals won by certain countries over time. In 1976, which of the countries shown won the most medals?\n" }, { "from": "gpt", "solution": "Look at the numbers in the 1976 column. Find the greatest number in this column.\n\nThe greatest number is 9, which is in the France row. In 1976, France won the most medals.", "answer": "France", "table": "**Olympic medals**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 1976 | 1980 |\n| Sweden | 5 | 12 |\n| France | 9 | 14 |\n| Brazil | 2 | 4 |" } ] }, { "id": "32310", "image": "32310.png", "conversations": [ { "from": "human", "question": "Each jar has 10 fireflies. How many fireflies are in 3 jars?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 30 fireflies in 3 jars.", "answer": "30", "table": "| Number of jars | Number of fireflies |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | ? |" } ] }, { "id": "32317", "image": "32317.png", "conversations": [ { "from": "human", "question": "Kaylee graphed the temperature at noon for 7 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n8, 8, 7, 7, 5, 6, 4\n\nFirst, find the greatest number. The greatest number is 8.\n\nNext, find the least number. The least number is 4.\n\nSubtract the least number from the greatest number:\n\n8 − 4 = 4\n\nThe range is 4.", "answer": "4", "table": "**Temperature at noon**\n\n| Day | Temperature (°C) |\n| --- | --- |\n| Sunday | 8 |\n| Monday | 8 |\n| Tuesday | 7 |\n| Wednesday | 7 |\n| Thursday | 5 |\n| Friday | 6 |\n| Saturday | 4 |" } ] }, { "id": "32318", "image": "32318.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $885, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $885, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $605 | 16,100 | 8,900 |\n| $745 | 15,600 | 10,100 |\n| $885 | 15,100 | 11,300 |\n| $1,025 | 14,600 | 12,500 |\n| $1,165 | 14,100 | 13,700 |" } ] }, { "id": "32323", "image": "32323.png", "conversations": [ { "from": "human", "question": "Mr. Barton, a P.E. teacher, wrote down how much weight each of his students could lift. How many people lifted at least 66 pounds?\n" }, { "from": "gpt", "solution": "Find the row with stem 6. Count all the leaves greater than or equal to 6.\n\nCount all the leaves in the rows with stems 7, 8, and 9.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plots above. 4 people lifted at least 66 pounds.", "answer": "4", "table": "**Weight lifting results (lbs)**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 4, 7 |\n| 5 | 4, 5 |\n| 6 | 4, 5 |\n| 7 | 0, 4 |\n| 8 | 7 |\n| 9 | 0 |" } ] }, { "id": "32325", "image": "32325.png", "conversations": [ { "from": "human", "question": "A grocery store recorded how many customers visited the store each day. On which day did the grocery store have the fewest customers?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 428.\n\nNow find the corresponding day. Monday corresponds to 428.", "answer": "Monday", "table": "**Grocery store customers**\n\n| Day | Number of customers |\n| --- | --- |\n| Friday | 484 |\n| Saturday | 448 |\n| Sunday | 482 |\n| Monday | 428 |" } ] }, { "id": "32328", "image": "32328.png", "conversations": [ { "from": "human", "question": "A school administrator who was concerned about grade inflation looked over the number of straight-A students from year to year. According to the table, what was the rate of change between 2007 and 2008?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{14 students - 9 students}{2008 - 2007}\n = \\frac{14 students - 9 students}{1 year}\n = \\frac{5 students}{1 year}\n = 5 students per year\nThe rate of change between 2007 and 2008 was 5 students per year.", "answer": "5", "table": "**Straight-A students**\n\n| Year | Students |\n| --- | --- |\n| 2006 | 5 |\n| 2007 | 9 |\n| 2008 | 14 |\n| 2009 | 12 |\n| 2010 | 10 |" } ] }, { "id": "32340", "image": "32340.png", "conversations": [ { "from": "human", "question": "Each crate has 10 boxes of grapes. How many boxes of grapes are in 5 crates?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 50 boxes of grapes in 5 crates.", "answer": "50", "table": "| Number of crates | Number of boxes of grapes |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | 40 |\n| 5 | ? |" } ] }, { "id": "32341", "image": "32341.png", "conversations": [ { "from": "human", "question": "Felipe's class tracked how many newspapers each student collected for their recycling project. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n67, 66, 68, 72, 56, 56, 63\n\nFirst, count how many numbers are in the group.\n\nThere are 7 numbers.\n\nNow add all the numbers together:\n\n67 + 66 + 68 + 72 + 56 + 56 + 63 = 448\n\nNow divide the sum by the number of numbers:\n\n448 ÷ 7 = 64\n\nThe mean is 64.", "answer": "64", "table": "**Newspapers collected**\n\n| Name | Number of newspapers |\n| --- | --- |\n| Felipe | 67 |\n| Wyatt | 66 |\n| Clara | 68 |\n| Dalton | 72 |\n| Samuel | 56 |\n| Owen | 56 |\n| Tristan | 63 |" } ] }, { "id": "32344", "image": "32344.png", "conversations": [ { "from": "human", "question": "Susan buys 4 pounds of quick oatmeal and 3 pounds of old-fashioned oatmeal . How much does she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the quick oatmeal. Multiply:\n\n$1.26 × 4 = $5.04\n\nFind the cost of the old-fashioned oatmeal. Multiply:\n\n$1.48 × 3 = $4.44\n\nNow find the total cost by adding:\n\n$5.04 + $4.44 = $9.48\n\nShe spends $9.48.", "answer": "9.48", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| cream of wheat | $1.80/lb |\n| quick oatmeal | $1.26/lb |\n| steel-cut oats | $1.50/lb |\n| old-fashioned oatmeal | $1.48/lb |" } ] }, { "id": "32346", "image": "32346.png", "conversations": [ { "from": "human", "question": "How much money does Omar need to buy 8 energy-saving laptops and 6 super laptops?\n" }, { "from": "gpt", "solution": "Find the cost of 8 energy-saving laptops.\n\n$8,651 × 8 = $69,208\n\nFind the cost of 6 super laptops.\n\n$4,986 × 6 = $29,916\n\nNow find the total cost.\n\n$69,208 + $29,916 = $99,124\n\nOmar needs $99,124.", "answer": "99,124", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| energy-saving laptop | $8,651 |\n| super desktop | $6,313 |\n| super laptop | $4,986 |\n| kids' desktop | $4,112 |" } ] }, { "id": "32351", "image": "32351.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $430, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $430, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $90 | 20,400 | 2,300 |\n| $260 | 15,900 | 2,700 |\n| $430 | 11,400 | 3,100 |\n| $600 | 6,900 | 3,500 |\n| $770 | 2,400 | 3,900 |" } ] }, { "id": "32352", "image": "32352.png", "conversations": [ { "from": "human", "question": "How much money does Javier need to buy 3 speedboat rides and 4 race car rides?\n" }, { "from": "gpt", "solution": "Find the cost of 3 speedboat rides.\n\n$377 × 3 = $1,131\n\nFind the cost of 4 race car rides.\n\n$553 × 4 = $2,212\n\nNow find the total cost.\n\n$1,131 + $2,212 = $3,343\n\nJavier needs $3,343.", "answer": "3,343", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| sailboat ride | $900 |\n| race car ride | $553 |\n| speedboat ride | $377 |\n| limousine ride | $188 |\n| helicopter ride | $235 |" } ] }, { "id": "32354", "image": "32354.png", "conversations": [ { "from": "human", "question": "How much money does Alan need to buy a piece of green slate and a piece of smoky quartz?\n" }, { "from": "gpt", "solution": "Add the price of a piece of green slate and the price of a piece of smoky quartz:\n\n$0.01 + $0.03 = $0.04\n\nAlan needs $0.04.", "answer": "0.04", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| piece of green slate | $0.01 |\n| pumice stone | $0.04 |\n| orange agate | $0.06 |\n| quartz crystal | $0.02 |\n| piece of smoky quartz | $0.03 |" } ] }, { "id": "32355", "image": "32355.png", "conversations": [ { "from": "human", "question": "Jayden has $0.50. Does he have enough to buy a souvenir cup and a sand castle magnet?\n" }, { "from": "gpt", "solution": "Add the price of a souvenir cup and the price of a sand castle magnet:\n\n$0.47 + $0.28 = $0.75\n\n$0.75 is more than $0.50. Jayden does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| sand castle magnet | $0.28 |\n| souvenir cup | $0.47 |\n| souvenir spoon | $0.89 |\n| small stuffed otter | $0.52 |\n| plastic crab | $0.44 |" } ] }, { "id": "32361", "image": "32361.png", "conversations": [ { "from": "human", "question": "Linda kept a tally of the number of emails she received each day for a week. According to the table, what was the rate of change between Wednesday and Thursday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{10 emails - 5 emails}{1 day}\n = \\frac{5 emails}{1 day}\n = 5 emails per day\nThe rate of change between Wednesday and Thursday was 5 emails per day.", "answer": "5", "table": "**Emails Linda received**\n\n| Day | Emails |\n| --- | --- |\n| Sunday | 10 |\n| Monday | 9 |\n| Tuesday | 2 |\n| Wednesday | 5 |\n| Thursday | 10 |" } ] }, { "id": "32364", "image": "32364.png", "conversations": [ { "from": "human", "question": "The school district compared how many math teachers each high school has. Which school has the most math teachers?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 19.\n\nNow find the corresponding high school. Washington High corresponds to 19.", "answer": "Washington High", "table": "**Math teachers**\n\n| High school | Number of math teachers |\n| --- | --- |\n| Central High | 15 |\n| Green High | 12 |\n| Washington High | 19 |\n| Moore High | 14 |" } ] }, { "id": "32372", "image": "32372.png", "conversations": [ { "from": "human", "question": "Finn recalled how many goals he had made in soccer practice each day. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n2, 6, 9, 8, 3\n\nFirst, arrange the numbers from least to greatest:\n\n2, 3, 6, 8, 9\n\nNow find the number in the middle.\n\n2, 3, 6, 8, 9\n\nThe number in the middle is 6.\n\nThe median is 6.", "answer": "6", "table": "**Goals made**\n\n| Day | Number of goals |\n| --- | --- |\n| Tuesday | 2 |\n| Wednesday | 6 |\n| Thursday | 9 |\n| Friday | 8 |\n| Saturday | 3 |" } ] }, { "id": "32373", "image": "32373.png", "conversations": [ { "from": "human", "question": "A veterinarian in Richmond treats a number of different kinds of animals every year. What fraction of pets treated were dogs? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many dogs were treated.\n\n300\n\nFind how many pets were treated in total.\n\n300 + 710 + 510 + 580 + 390 = 2,490\n\nDivide 300 by2,490.\n\n\\frac{300}{2,490}\n\nReduce the fraction.\n\n\\frac{300}{2,490} → \\frac{10}{83}\n\n\\frac{10}{83} of dogs were treated.", "answer": "10/83", "table": "**Pets treated by the vet**\n\n| Pet | Number of cases |\n| --- | --- |\n| Dogs | 300 |\n| Rodents | 710 |\n| Birds | 510 |\n| Rabbits | 580 |\n| Other | 390 |" } ] }, { "id": "32385", "image": "32385.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $390, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $390, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $70 | 20,000 | 11,900 |\n| $230 | 15,300 | 14,400 |\n| $390 | 10,600 | 16,900 |\n| $550 | 5,900 | 19,400 |\n| $710 | 1,200 | 21,900 |" } ] }, { "id": "32399", "image": "32399.png", "conversations": [ { "from": "human", "question": "How much money does Dakota need to buy a carrot cake and a strawberry cheesecake?\n" }, { "from": "gpt", "solution": "Add the price of a carrot cake and the price of a strawberry cheesecake:\n\n$11.00 + $27.00 = $38.00\n\nDakota needs $38.00.", "answer": "38", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| blueberry cheesecake | $10.00 |\n| carrot cake | $11.00 |\n| pumpkin pie | $11.00 |\n| strawberry cheesecake | $27.00 |\n| pear tart | $22.00 |" } ] }, { "id": "32401", "image": "32401.png", "conversations": [ { "from": "human", "question": "How much money does Kiera need to buy a barbecue grill and a microwave?\n" }, { "from": "gpt", "solution": "Add the price of a barbecue grill and the price of a microwave:\n\n$783 + $321 = $1,104\n\nKiera needs $1,104.", "answer": "1,104", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| clothes dryer | $721 |\n| oven | $935 |\n| barbecue grill | $783 |\n| microwave | $321 |\n| refrigerator | $528 |\n| stove | $756 |" } ] }, { "id": "32405", "image": "32405.png", "conversations": [ { "from": "human", "question": "Andy, a birdwatcher, counted the number of each species of bird at the local county parks. How many more falcons were spotted in Northside Park than in Hillview Park?\n" }, { "from": "gpt", "solution": "Find the Falcons column. Find the numbers in this column for Northside Park and Hillview Park.\n\nNorthside Park: 18\nHillview Park: 12\n\nNow subtract:\n\n18 − 12 = 6\n\n6 more falcons were spotted in Northside Park than in Hillview Park.", "answer": "6", "table": "**Bird sightings in parks**\n\n| Park | Hawks | Falcons |\n| --- | --- | --- |\n| Hillview Park | 16 | 12 |\n| Crest Park | 6 | 5 |\n| Northside Park | 11 | 18 |" } ] }, { "id": "32407", "image": "32407.png", "conversations": [ { "from": "human", "question": "How much money does Trudy need to buy 5 computer mice and a CD player?\n" }, { "from": "gpt", "solution": "Find the cost of 5 computer mice.\n\n$18.00 × 5 = $90.00\n\nNow find the total cost.\n\n$90.00 + $28.00 = $118.00\n\nTrudy needs $118.00.", "answer": "118", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| computer mouse | $18.00 |\n| CD player | $28.00 |\n| microphone | $23.00 |\n| cell phone | $81.00 |" } ] }, { "id": "32409", "image": "32409.png", "conversations": [ { "from": "human", "question": "The school district compared how many swings each elementary school has. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n10, 10, 12, 11, 12\n\nFirst, count how many numbers are in the group.\n\nThere are 5 numbers.\n\nNow add all the numbers together:\n\n10 + 10 + 12 + 11 + 12 = 55\n\nNow divide the sum by the number of numbers:\n\n55 ÷ 5 = 11\n\nThe mean is 11.", "answer": "11", "table": "**Swings**\n\n| School | Number of swings |\n| --- | --- |\n| Hillside Elementary | 10 |\n| Boyd Elementary | 10 |\n| Jefferson Elementary | 12 |\n| Valley Elementary | 11 |\n| Newberry Elementary | 12 |" } ] }, { "id": "32410", "image": "32410.png", "conversations": [ { "from": "human", "question": "Some students visited nearby zoos to record the number of bears kept there. Are there fewer bears at the Pacific Zoo or the Atlantic Zoo?\n" }, { "from": "gpt", "solution": "Add the numbers in the Pacific Zoo row. Then, add the numbers in the Atlantic Zoo row.\n\nPacific Zoo: 5 + 9 = 14\nAtlantic Zoo: 12 + 5 = 17\n\n14 is less than 17. There are fewer bears at the Pacific Zoo.", "answer": "Pacific Zoo", "table": "**Bears in zoos**\n\n| Zoo | Polar bears | Panda bears |\n| --- | --- | --- |\n| Pacific Zoo | 5 | 9 |\n| Eastern Zoo | 7 | 20 |\n| Atlantic Zoo | 12 | 5 |" } ] }, { "id": "32411", "image": "32411.png", "conversations": [ { "from": "human", "question": "A county agency recorded the money donated to several charitable causes over time. Which cause raised more money in March, hunger or parks?\n" }, { "from": "gpt", "solution": "Find the March column. Compare the numbers in this column for hunger and parks.\n\n$19.00 is more than $8.00. In March, more money was raised for parks.", "answer": "parks", "table": "**Donations received**\n\n| Cause | March | April |\n| --- | --- | --- |\n| Parks | $19 | $8 |\n| Education | $17 | $9 |\n| Hunger | $8 | $4 |" } ] }, { "id": "32421", "image": "32421.png", "conversations": [ { "from": "human", "question": "Dana's family went on a road trip and counted the number of cars they saw each day. On which day did they see the most cars?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 17.\n\nNow find the corresponding day. Tuesday corresponds to 17.", "answer": "Tuesday", "table": "**Number of cars**\n\n| Day | Number of cars |\n| --- | --- |\n| Saturday | 16 |\n| Sunday | 15 |\n| Monday | 13 |\n| Tuesday | 17 |" } ] }, { "id": "32423", "image": "32423.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $965, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $965, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $945 | 18,400 | 4,300 |\n| $965 | 14,700 | 8,300 |\n| $985 | 11,000 | 12,300 |\n| $1,005 | 7,300 | 16,300 |\n| $1,025 | 3,600 | 20,300 |" } ] }, { "id": "32425", "image": "32425.png", "conversations": [ { "from": "human", "question": "Jeffrey is the proud owner of an eclectic bow tie collection. He keeps track of how many bow ties he has, and organizes them by pattern and material. What is the probability that a randomly selected bow tie is designed with swirls and is made of velvet? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the bow tie is designed with swirls\" and B be the event \"the bow tie is made of velvet\".\nTo find the probability that a bow tie is designed with swirls and is made of velvet, first identify the sample space and the event.\nThe outcomes in the sample space are the different bow ties. Each bow tie is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the bow tie is designed with swirls and is made of velvet\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the bow tie is designed with swirls and is made of velvet\", so look at the table to see how many bow ties are designed with swirls and are made of velvet.\nThe number of bow ties that are designed with swirls and are made of velvet is 3.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of bow ties.\n5 + 3 + 1 + 5 = 14\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{3}{14}\nThe probability that a bow tie is designed with swirls and is made of velvet is \\frac{3}{14}.", "answer": "3/14", "table": "| | Velvet | Cotton |\n| --- | --- | --- |\n| Zigzags | 5 | 1 |\n| Swirls | 3 | 5 |" } ] }, { "id": "32428", "image": "32428.png", "conversations": [ { "from": "human", "question": "Brady has a collection of marbles of different sizes and colors. What is the probability that a randomly selected marble is small and green? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the marble is small\" and B be the event \"the marble is green\".\nTo find the probability that a marble is small and green, first identify the sample space and the event.\nThe outcomes in the sample space are the different marbles. Each marble is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the marble is small and green\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the marble is small and green\", so look at the table to see how many marbles are small and green.\nThe number of marbles that are small and green is 4.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of marbles.\n4 + 5 + 2 + 4 = 15\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{4}{15}\nThe probability that a marble is small and green is \\frac{4}{15}.", "answer": "4/15", "table": "| | Red | Green |\n| --- | --- | --- |\n| Big | 4 | 2 |\n| Small | 5 | 4 |" } ] }, { "id": "32429", "image": "32429.png", "conversations": [ { "from": "human", "question": "A cable company analyst paid attention to how many new customers it had each day. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 2, 4, 5, 6, 3, 8\n\nFirst, arrange the numbers from least to greatest:\n\n2, 3, 4, 5, 6, 6, 8\n\nNow find the number in the middle.\n\n2, 3, 4, 5, 6, 6, 8\n\nThe number in the middle is 5.\n\nThe median is 5.", "answer": "5", "table": "**New cable customers**\n\n| Day | Number of new customers |\n| --- | --- |\n| Wednesday | 6 |\n| Thursday | 2 |\n| Friday | 4 |\n| Saturday | 5 |\n| Sunday | 6 |\n| Monday | 3 |\n| Tuesday | 8 |" } ] }, { "id": "32431", "image": "32431.png", "conversations": [ { "from": "human", "question": "A coffee shop monitored the number of cups of coffee sold each day. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n71, 57, 69, 59, 65, 58, 60\n\nFirst, arrange the numbers from least to greatest:\n\n57, 58, 59, 60, 65, 69, 71\n\nNow find the number in the middle.\n\n57, 58, 59, 60, 65, 69, 71\n\nThe number in the middle is 60.\n\nThe median is 60.", "answer": "60", "table": "**Cups of coffee sold**\n\n| Day | Number of cups |\n| --- | --- |\n| Wednesday | 71 |\n| Thursday | 57 |\n| Friday | 69 |\n| Saturday | 59 |\n| Sunday | 65 |\n| Monday | 58 |\n| Tuesday | 60 |" } ] }, { "id": "32434", "image": "32434.png", "conversations": [ { "from": "human", "question": "Kurt wrote down how many glasses of water he drank during the past 6 days. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 7, 6, 2, 6, 6\n\nFirst, count how many numbers are in the group.\n\nThere are 6 numbers.\n\nNow add all the numbers together:\n\n9 + 7 + 6 + 2 + 6 + 6 = 36\n\nNow divide the sum by the number of numbers:\n\n36 ÷ 6 = 6\n\nThe mean is 6.", "answer": "6", "table": "**Glasses of water**\n\n| Day | Number of glasses |\n| --- | --- |\n| Monday | 9 |\n| Tuesday | 7 |\n| Wednesday | 6 |\n| Thursday | 2 |\n| Friday | 6 |\n| Saturday | 6 |" } ] }, { "id": "32449", "image": "32449.png", "conversations": [ { "from": "human", "question": "A philanthropic organization compared the amounts of money that its members donated to certain causes. How much more money did Diana donate to cancer research than Valeria?\n" }, { "from": "gpt", "solution": "Find the Cancer research column. Find the numbers in this column for Diana and Valeria.\n\nDiana: $19.00\nValeria: $2.00\n\nNow subtract:\n\n$19.00 − $2.00 = $17.00\n\nDiana donated $17 more to cancer research than Valeria.", "answer": "17", "table": "**Donations**\n\n| Person | Hunger prevention | Cancer research |\n| --- | --- | --- |\n| Valeria | $8 | $2 |\n| Alice | $15 | $19 |\n| Diana | $7 | $19 |\n| Tess | $16 | $1 |\n| Bernard | $13 | $16 |" } ] }, { "id": "32452", "image": "32452.png", "conversations": [ { "from": "human", "question": "Walter has $0.11. Does he have enough to buy a cinnamon candy and a peppermint candy?\n" }, { "from": "gpt", "solution": "Add the price of a cinnamon candy and the price of a peppermint candy:\n\n$0.06 + $0.07 = $0.13\n\n$0.13 is more than $0.11. Walter does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| gummy bear | $0.04 |\n| gummy worm | $0.02 |\n| piece of gum | $0.01 |\n| peppermint candy | $0.07 |\n| piece of licorice | $0.06 |\n| cinnamon candy | $0.06 |" } ] }, { "id": "32461", "image": "32461.png", "conversations": [ { "from": "human", "question": "Edmond has $15.84. How much money will Edmond have left if he buys a book of crossword puzzles and a map of the United States?\n" }, { "from": "gpt", "solution": "Find the total cost of a book of crossword puzzles and a map of the United States.\n\n$4.69 + $9.86 = $14.55\n\nNow subtract the total cost from the starting amount.\n\n$15.84 - $14.55 = $1.29\n\nEdmond will have $1.29 left.", "answer": "1.29", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| book of poems | $8.00 |\n| map of the world | $3.77 |\n| map of the United States | $9.86 |\n| magazine | $3.38 |\n| book of crossword puzzles | $4.69 |" } ] }, { "id": "32464", "image": "32464.png", "conversations": [ { "from": "human", "question": "Peter tracked the maximum daily wind speed for 6 days. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 7, 7, 6, 9, 9\n\nFirst, arrange the numbers from least to greatest:\n\n6, 7, 7, 7, 9, 9\n\nNow count how many times each number appears.\n\n6 appears 1 time.\n7 appears 3 times.\n9 appears 2 times.\n\nThe number that appears most often is 7.\n\nThe mode is 7.", "answer": "7", "table": "**Daily wind speed**\n\n| Day | Wind speed (miles per hour) |\n| --- | --- |\n| Saturday | 7 |\n| Sunday | 7 |\n| Monday | 7 |\n| Tuesday | 6 |\n| Wednesday | 9 |\n| Thursday | 9 |" } ] }, { "id": "32465", "image": "32465.png", "conversations": [ { "from": "human", "question": "Each van has 10 people. How many people are in 6 vans?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 60 people in 6 vans.", "answer": "60", "table": "| Number of vans | Number of people |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | 40 |\n| 5 | 50 |\n| 6 | ? |" } ] }, { "id": "32471", "image": "32471.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which class begins at 9.00 A.M.?\n" }, { "from": "gpt", "solution": "Find 9:00 A. M. on the schedule. Pottery class begins at 9:00 A. M.", "answer": "Pottery class", "table": "**Art teacher's schedule**\n\n| Class | Begin | End |\n| --- | --- | --- |\n| Pottery | 9:00 A.M. | 10:35 A.M. |\n| Photography | 10:45 A.M. | 11:45 A.M. |\n| Watercolor | 11:50 A.M. | 1:05 P.M. |\n| Interior Design | 1:20 P.M. | 2:15 P.M. |\n| Computer Graphics | 2:30 P.M. | 4:10 P.M. |" } ] }, { "id": "32472", "image": "32472.png", "conversations": [ { "from": "human", "question": "Some players on a co-ed basketball team compared the total number of points they scored over the course of a year. What fraction of the points were scored by Donald? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many points Donald scored.\n\n50\n\nFind how many points the players scored in total.\n\n150 + 50 + 60 = 260\n\nDivide 50 by260.\n\n\\frac{50}{260}\n\nReduce the fraction.\n\n\\frac{50}{260} → \\frac{5}{26}\n\n\\frac{5}{26} of points Donald scored.", "answer": "5/26", "table": "**Points scored in basketball**\n\n| Player | Points scored |\n| --- | --- |\n| Brendan | 150 |\n| Donald | 50 |\n| Other | 60 |" } ] }, { "id": "32492", "image": "32492.png", "conversations": [ { "from": "human", "question": "In trying to calculate how much money could be saved by packing lunch, Estelle recorded the amount she spent on lunch each day. According to the table, what was the rate of change between Sunday and Monday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{$5 - $2}{1 day}\n = \\frac{$3}{1 day}\n = $3 perday\nThe rate of change between Sunday and Monday was $3 perday.", "answer": "3", "table": "**Amount Estelle spent on lunch**\n\n| Day | Amount spent |\n| --- | --- |\n| Sunday | $2 |\n| Monday | $5 |\n| Tuesday | $2 |\n| Wednesday | $2 |\n| Thursday | $1 |" } ] }, { "id": "32499", "image": "32499.png", "conversations": [ { "from": "human", "question": "How much money does Franklin need to buy a roll of electrical tape and a light bulb?\n" }, { "from": "gpt", "solution": "Add the price of a roll of electrical tape and the price of a light bulb:\n\n$0.38 + $0.15 = $0.53\n\nFranklin needs $0.53.", "answer": "0.53", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| four-inch nail | $0.11 |\n| piece of rope | $0.24 |\n| roll of electrical tape | $0.38 |\n| light bulb | $0.15 |" } ] }, { "id": "32500", "image": "32500.png", "conversations": [ { "from": "human", "question": "A real estate agent looked into how many houses were sold in different cities. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n39, 35, 35, 35, 39\n\nFirst, arrange the numbers from least to greatest:\n\n35, 35, 35, 39, 39\n\nNow count how many times each number appears.\n\n35 appears 3 times.\n39 appears 2 times.\n\nThe number that appears most often is 35.\n\nThe mode is 35.", "answer": "35", "table": "**House sales**\n\n| City | Number of houses sold |\n| --- | --- |\n| Pennytown | 39 |\n| Fremont | 35 |\n| Charles Falls | 35 |\n| Liberty City | 35 |\n| New Hamburg | 39 |" } ] }, { "id": "32510", "image": "32510.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $110, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $110, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $110 | 19,200 | 1,200 |\n| $140 | 15,000 | 5,300 |\n| $170 | 10,800 | 9,400 |\n| $200 | 6,600 | 13,500 |\n| $230 | 2,400 | 17,600 |" } ] }, { "id": "32514", "image": "32514.png", "conversations": [ { "from": "human", "question": "Kendra has $27. Does she have enough to buy a coloring book and a history book?\n" }, { "from": "gpt", "solution": "Add the price of a coloring book and the price of a history book:\n\n$15 + $14 = $29\n\n$29 is more than $27. Kendra does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| textbook | $13 |\n| history book | $14 |\n| poetry book | $22 |\n| coloring book | $15 |" } ] }, { "id": "32522", "image": "32522.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. How long does it take to get from Sparrowtown to Norwood?\n" }, { "from": "gpt", "solution": "Read the times in the first column for Sparrowtown and Norwood.\n\nFind the elapsed time between 11:45 A. M. and 3:45 P. M. The elapsed time is 4 hours.\n\nNo matter which column of times you look at, the elapsed time is always 4 hours.", "answer": "4 hours", "table": "**Train schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 | Column 5 | Column 6 |\n| --- | --- | --- | --- | --- | --- |\n| Manchester | 6:30 A.M. | 9:15 A.M. | 9:30 A.M. | 9:45 A.M. | 10:15 A.M. |\n| Cedarburg | 7:00 A.M. | 9:45 A.M. | 10:00 A.M. | 10:15 A.M. | 10:45 A.M. |\n| Dover | 8:00 A.M. | 10:45 A.M. | 11:00 A.M. | 11:15 A.M. | 11:45 A.M. |\n| Greenwood | 9:45 A.M. | 12:30 P.M. | 12:45 P.M. | 1:00 P.M. | 1:30 P.M. |\n| Sparrowtown | 11:45 A.M. | 2:30 P.M. | 2:45 P.M. | 3:00 P.M. | 3:30 P.M. |\n| Greenpoint | 1:15 P.M. | 4:00 P.M. | 4:15 P.M. | 4:30 P.M. | 5:00 P.M. |\n| Stamford | 2:00 P.M. | 4:45 P.M. | 5:00 P.M. | 5:15 P.M. | 5:45 P.M. |\n| Norwood | 3:45 P.M. | 6:30 P.M. | 6:45 P.M. | 7:00 P.M. | 7:30 P.M. |" } ] }, { "id": "32529", "image": "32529.png", "conversations": [ { "from": "human", "question": "A transportation analyst compared various bridges' tolls. Which charges more for a car, the Golden Gate bridge or the Oakland Bay bridge?\n" }, { "from": "gpt", "solution": "Find the Car column. Compare the numbers in this column for Golden Gate and Oakland Bay.\n\n$6.00 is more than $4.00. The Golden Gate bridge charges more for a car.", "answer": "Golden Gate", "table": "**Bridge tolls**\n\n| Bridge | Truck | Car |\n| --- | --- | --- |\n| Fort Madison | $4 | $1 |\n| Golden Gate | $7 | $6 |\n| San Mateo | $6 | $4 |\n| Oakland Bay | $6 | $4 |" } ] }, { "id": "32530", "image": "32530.png", "conversations": [ { "from": "human", "question": "The Norwood Chamber of Commerce researched the number of employees working at local companies. How many companies have at least 70 employees but less than 96 employees?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 7 and 8.\n\nIn the row with stem 9, count all the leaves less than 6.\n\nYou counted 9 leaves, which are blue in the stem-and-leaf plots above. 9 companies have at least 70 employees but less than 96 employees.", "answer": "9", "table": "**Company sizes (number of employees)**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 5, 5, 5, 6, 7, 7, 9 |\n| 3 | 4, 5, 7 |\n| 4 | 1, 3, 3, 4 |\n| 5 | 6 |\n| 6 | 1 |\n| 7 | 5, 5, 8, 9 |\n| 8 | 2, 3, 4, 7 |\n| 9 | 0 |" } ] }, { "id": "32532", "image": "32532.png", "conversations": [ { "from": "human", "question": "Samir has $1.54. Does he have enough to buy a soccer ball key chain and a cat key chain?\n" }, { "from": "gpt", "solution": "Add the price of a soccer ball key chain and the price of a cat key chain:\n\n$0.68 + $0.84 = $1.52\n\n$1.52 is less than $1.54. Samir does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| puppy key chain | $0.74 |\n| frog key chain | $0.67 |\n| pumpkin key chain | $0.70 |\n| soccer ball key chain | $0.68 |\n| cat key chain | $0.84 |" } ] }, { "id": "32544", "image": "32544.png", "conversations": [ { "from": "human", "question": "In science class, Bonnie is measuring the temperature of different chemical mixtures. The temperatures of two mixtures are shown in the table. Which mixture's temperature is closest to zero?\n" }, { "from": "gpt", "solution": "A positive number means the temperature is above zero. A negative number means the temperature is below zero.\nTo find the temperature closest to zero, use absolute value. The absolute value of a temperature tells you how far it is from zero.\nBromine mixture: |-4| = 4\nAcetone mixture: |5| = 5\nThe temperature of the bromine mixture is closest to zero. It is only 4 degrees below zero.", "answer": "bromine mixture", "table": "| Mixture | Temperature (°C) |\n| --- | --- |\n| Bromine mixture | -4 |\n| Acetone mixture | 5 |" } ] }, { "id": "32552", "image": "32552.png", "conversations": [ { "from": "human", "question": "Aubrey tracked the attendance at the school play. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n21, 26, 21, 26, 21\n\nFirst, arrange the numbers from least to greatest:\n\n21, 21, 21, 26, 26\n\nNow count how many times each number appears.\n\n21 appears 3 times.\n26 appears 2 times.\n\nThe number that appears most often is 21.\n\nThe mode is 21.", "answer": "21", "table": "**Tickets sold**\n\n| Day | Number of tickets |\n| --- | --- |\n| Saturday | 21 |\n| Sunday | 26 |\n| Monday | 21 |\n| Tuesday | 26 |\n| Wednesday | 21 |" } ] }, { "id": "32553", "image": "32553.png", "conversations": [ { "from": "human", "question": "Some friends went bowling and kept track of their scores. Who had the lowest score?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 115.\n\nNow find the corresponding name. Paula corresponds to 115.", "answer": "Paula", "table": "**Bowling scores**\n\n| Name | Score |\n| --- | --- |\n| Mabel | 195 |\n| Paula | 115 |\n| Tori | 159 |\n| Shelby | 191 |" } ] }, { "id": "32554", "image": "32554.png", "conversations": [ { "from": "human", "question": "Nora has $56. Does she have enough to buy a winter jacket and a black skirt?\n" }, { "from": "gpt", "solution": "Add the price of a winter jacket and the price of a black skirt:\n\n$49 + $11 = $60\n\n$60 is more than $56. Nora does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pair of sweat pants | $10 |\n| pair of brown pants | $27 |\n| black skirt | $11 |\n| winter jacket | $49 |" } ] }, { "id": "32555", "image": "32555.png", "conversations": [ { "from": "human", "question": "The owner of an orchard kept records about how many apples were picked in the past 4 days. On which day were the fewest apples picked?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 668.\n\nNow find the corresponding day. Tuesday corresponds to 668.", "answer": "Tuesday", "table": "**Apples picked**\n\n| Day | Number of apples |\n| --- | --- |\n| Monday | 698 |\n| Tuesday | 668 |\n| Wednesday | 696 |\n| Thursday | 689 |" } ] }, { "id": "32561", "image": "32561.png", "conversations": [ { "from": "human", "question": "Rachel kept a driving log to see how many miles she drove each day. On which day did Rachel drive the fewest miles?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 12.\n\nNow find the corresponding day. Sunday corresponds to 12.", "answer": "Sunday", "table": "**Miles driven**\n\n| Day | Number of miles |\n| --- | --- |\n| Saturday | 13 |\n| Sunday | 12 |\n| Monday | 14 |\n| Tuesday | 16 |" } ] }, { "id": "32566", "image": "32566.png", "conversations": [ { "from": "human", "question": "A transportation analyst compared various bridges' tolls. How much is the toll for a truck on the Golden Gate bridge?\n" }, { "from": "gpt", "solution": "First, find the row for Golden Gate. Then find the number in the Truck column.\n\nThis number is $7.00. On the Golden Gate bridge, the toll for a truck is $7.", "answer": "7", "table": "**Bridge tolls**\n\n| Bridge | Truck | Car |\n| --- | --- | --- |\n| Golden Gate | $7 | $6 |\n| George Washington | $16 | $8 |\n| Hatem | $10 | $5 |\n| San Mateo | $6 | $4 |" } ] }, { "id": "32574", "image": "32574.png", "conversations": [ { "from": "human", "question": "Mrs. Newman hosts an annual art contest for kids, and she keeps a record of the number of entries each year. According to the table, what was the rate of change between 2012 and 2013?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{33 entries - 28 entries}{2013 - 2012}\n = \\frac{33 entries - 28 entries}{1 year}\n = \\frac{5 entries}{1 year}\n = 5 entries per year\nThe rate of change between 2012 and 2013 was 5 entries per year.", "answer": "5", "table": "**Art contest entries**\n\n| Year | Number of entries |\n| --- | --- |\n| 2009 | 37 |\n| 2010 | 42 |\n| 2011 | 43 |\n| 2012 | 28 |\n| 2013 | 33 |" } ] }, { "id": "32575", "image": "32575.png", "conversations": [ { "from": "human", "question": "How much money does Colleen need to buy 9 rabbits?\n" }, { "from": "gpt", "solution": "Find the total cost of 9 rabbits by multiplying 9 times the price of a rabbit.\n\n$70.58 × 9 = $635.22\n\nColleen needs $635.22.", "answer": "635.22", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| rabbit | $70.58 |\n| king snake | $90.38 |\n| cockatoo | $57.27 |\n| hedgehog | $92.46 |\n| tree frog | $53.82 |" } ] }, { "id": "32577", "image": "32577.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $720, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $720, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $620 | 17,000 | 1,500 |\n| $670 | 13,100 | 3,700 |\n| $720 | 9,200 | 5,900 |\n| $770 | 5,300 | 8,100 |\n| $820 | 1,400 | 10,300 |" } ] }, { "id": "32583", "image": "32583.png", "conversations": [ { "from": "human", "question": "Ayana went to the store and bought 5 kilograms of fool's gold. How much did she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the fool's gold. Multiply the price per kilogram by the number of kilograms.\n\n$7.51 × 5 = $37.55\n\nShe spent $37.55.", "answer": "37.55", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| amethyst | $6.26/kg |\n| tiger's eye | $6.96/kg |\n| quartz | $7.21/kg |\n| fool's gold | $7.51/kg |\n| granite | $7.09/kg |\n| calcite | $6.26/kg |\n| topaz | $7.02/kg |" } ] }, { "id": "32584", "image": "32584.png", "conversations": [ { "from": "human", "question": "Mrs. Coleman, the biology teacher, asked her students how many times they went to the science museum last year. How many students went to the science museum more than 4 times?\n" }, { "from": "gpt", "solution": "Find the row for 5 times and read the frequency. The frequency is 11.\n\n11 students went to the science museum more than 4 times.", "answer": "11", "table": "**Trips to the science museum last year**\n\n| Number of trips | Frequency |\n| --- | --- |\n| 0 | 1 |\n| 1 | 3 |\n| 2 | 0 |\n| 3 | 9 |\n| 4 | 8 |\n| 5 | 11 |" } ] }, { "id": "32594", "image": "32594.png", "conversations": [ { "from": "human", "question": "The research department of a board game company surveyed some shoppers at a local mall. The team asked shoppers how often they read the newspaper, among other questions. Then the team played a memory card game with the shoppers. They recorded how many cards each shopper remembered. What is the probability that a randomly selected shopper remembered 4-6 cards and reads the newspaper 1-2 times a week? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the shopper remembered 4-6 cards\" and B be the event \"the shopper reads the newspaper 1-2 times a week\".\nTo find the probability that a shopper remembered 4-6 cards and reads the newspaper 1-2 times a week, first identify the sample space and the event.\nThe outcomes in the sample space are the different shoppers. Each shopper is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the shopper remembered 4-6 cards and reads the newspaper 1-2 times a week\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the shopper remembered 4-6 cards and reads the newspaper 1-2 times a week\", so look at the table to see how many shoppers remembered 4-6 cards and read the newspaper 1-2 times a week.\nThe number of shoppers who remembered 4-6 cards and read the newspaper 1-2 times a week is 4.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of shoppers.\n4 + 5 + 4 + 4 = 17\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{4}{17}\nThe probability that a shopper remembered 4-6 cards and reads the newspaper 1-2 times a week is \\frac{4}{17}.", "answer": "4/17", "table": "| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| | 0 times a week | 1-2 times a week |\n| 1-3 cards | 4 | 4 |\n| 4-6 cards | 5 | 4 |" } ] }, { "id": "32595", "image": "32595.png", "conversations": [ { "from": "human", "question": "The employee at the department store counted the number of ties on each tie rack. How many racks have at least 18 ties but fewer than 46 ties?\n" }, { "from": "gpt", "solution": "Find the row with stem 1. Count all the leaves greater than or equal to 8.\n\nCount all the leaves in the rows with stems 2 and 3.\n\nIn the row with stem 4, count all the leaves less than 6.\n\nYou counted 9 leaves, which are blue in the stem-and-leaf plots above. 9 racks have at least 18 ties but fewer than 46 ties.", "answer": "9", "table": "**Ties per rack**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 4, 7 |\n| 2 | 0, 5, 6, 6, 8, 8 |\n| 3 | 1, 2 |\n| 4 | 5, 6, 9 |" } ] }, { "id": "32596", "image": "32596.png", "conversations": [ { "from": "human", "question": "Naomi likes watching the show Engineering Marvels. In last night's episode, the engineering team visited a tall skyscraper and a deep mine. A banner at the bottom of the screen showed the elevation of each location the team visited. Which location is closer to sea level?\n" }, { "from": "gpt", "solution": "The top of the skyscraper has a positive elevation, so it is above sea level. The bottom of the mine has a negative elevation, so it is below sea level.\nTo find the location closer to sea level, use absolute value. Absolute value tells you how far each location is from sea level.\nTop of the skyscraper: |275| = 275\nBottom of the mine: |-260| = 260\nThe top of the skyscraper is 275 meters above sea level, but the bottom of the mine is only260 meters below sea level. The bottom of the mine is closer to sea level.", "answer": "bottom of the mine", "table": "| Location | Elevation (m) |\n| --- | --- |\n| Top of the skyscraper | 275 |\n| Bottom of the mine | -260 |" } ] }, { "id": "32599", "image": "32599.png", "conversations": [ { "from": "human", "question": "Professor Gilmore informed his students of their scores on the midterm exam. How many students scored fewer than 80 points?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 4, 5, 6, and 7.\n\nYou counted 19 leaves, which are blue in the stem-and-leaf plot above. 19 students scored fewer than 80 points.", "answer": "19", "table": "**Midterm exam scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 0, 1, 3, 3, 4, 5, 5, 6, 7, 7 |\n| 5 | 1, 2, 4, 6, 6, 7 |\n| 6 | 2, 4 |\n| 7 | 9 |" } ] }, { "id": "32607", "image": "32607.png", "conversations": [ { "from": "human", "question": "A technical support line tracked how many calls it received each day. On which day did the support line receive the fewest calls?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 434.\n\nNow find the corresponding day. Sunday corresponds to 434.", "answer": "Sunday", "table": "**Phone calls received**\n\n| Day | Number of calls |\n| --- | --- |\n| Sunday | 434 |\n| Monday | 435 |\n| Tuesday | 459 |\n| Wednesday | 445 |" } ] }, { "id": "32609", "image": "32609.png", "conversations": [ { "from": "human", "question": "An Idaho farmer has been monitoring crop prices over time. In 2005, did peas or Timothy seed cost more per cwt?\n" }, { "from": "gpt", "solution": "Find the 2005 column. Compare the numbers in this column for peas and Timothy seed.\n\n$7.00 is more than $6.00. In 2005, Timothy seed cost more per cwt.", "answer": "Timothy seed", "table": "**Idaho crop prices per cwt**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Crop | 2004 | 2005 |\n| Timothy seed | $7 | $7 |\n| Onions | $7 | $8 |\n| Canola | $11 | $10 |\n| Peas | $7 | $6 |" } ] }, { "id": "32614", "image": "32614.png", "conversations": [ { "from": "human", "question": "For an assignment, Aubrey looked at which countries got the most Nobel Prizes in various decades. Of the countries shown, which country had the fewest Nobel Prize winners in the 1990s?\n" }, { "from": "gpt", "solution": "Look at the numbers in the 1990 s column. Find the least number in this column.\n\nThe least number is 1, which is in the Italy row. Of the countries shown, Italy had the fewest Nobel Prize winners in the 1990 s.", "answer": "Italy", "table": "**Nobel Prize winners**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 1980s | 1990s |\n| Italy | 3 | 1 |\n| Holland | 2 | 3 |\n| Germany | 11 | 7 |" } ] }, { "id": "32617", "image": "32617.png", "conversations": [ { "from": "human", "question": "How much more does baked chicken cost than pasta with mushrooms?\n" }, { "from": "gpt", "solution": "Subtract the price of pasta with mushrooms from the price of baked chicken.\n\n$14.00 - $10.00 = $4.00\n\nBaked chicken costs $4.00 more than pasta with mushrooms.", "answer": "4", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pasta with mushrooms | $10.00 |\n| mushroom pizza | $12.00 |\n| baked chicken | $14.00 |\n| ravioli | $12.00 |" } ] }, { "id": "32619", "image": "32619.png", "conversations": [ { "from": "human", "question": "Some travelers in an airport compared how far they had flown that day. How many miles in total did Vincent and Lila fly?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nVincent: 291\nLila: 403\n\nNow add: 291 + 403 = 694.\n\nVincent and Lila flew 694 miles.", "answer": "694", "table": "**Length of airplane flights**\n\n| Name | Miles |\n| --- | --- |\n| Dominic | 432 |\n| Vincent | 291 |\n| Chloe | 250 |\n| Elena | 283 |\n| Lila | 403 |" } ] }, { "id": "32626", "image": "32626.png", "conversations": [ { "from": "human", "question": "The teachers at a middle school counted how many computers they had in their classrooms. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n3, 6, 3, 3, 5\n\nFirst, count how many numbers are in the group.\n\nThere are 5 numbers.\n\nNow add all the numbers together:\n\n3 + 6 + 3 + 3 + 5 = 20\n\nNow divide the sum by the number of numbers:\n\n20 ÷ 5 = 4\n\nThe mean is 4.", "answer": "4", "table": "**Computers in classrooms**\n\n| Teacher | Number of computers |\n| --- | --- |\n| Mrs. Jansen | 3 |\n| Miss Murphy | 6 |\n| Ms. Rojas | 3 |\n| Ms. Cohen | 3 |\n| Mrs. Rossi | 5 |" } ] }, { "id": "32630", "image": "32630.png", "conversations": [ { "from": "human", "question": "How much money does Jon need to buy a green sweatshirt and a pair of jeans?\n" }, { "from": "gpt", "solution": "Add the price of a green sweatshirt and the price of a pair of jeans:\n\n$11.26 + $30.30 = $41.56\n\nJon needs $41.56.", "answer": "41.56", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| black jacket | $27.84 |\n| pair of jeans | $30.30 |\n| green sweatshirt | $11.26 |\n| pair of shorts | $29.68 |\n| pair of shoes | $11.08 |" } ] }, { "id": "32631", "image": "32631.png", "conversations": [ { "from": "human", "question": "How much money does Anne need to buy a crossword puzzle book and a spelling workbook?\n" }, { "from": "gpt", "solution": "Add the price of a crossword puzzle book and the price of a spelling workbook:\n\n$18.81 + $13.66 = $32.47\n\nAnne needs $32.47.", "answer": "32.47", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| textbook | $13.60 |\n| spelling workbook | $13.66 |\n| picture book | $14.24 |\n| crossword puzzle book | $18.81 |\n| poetry book | $18.94 |" } ] }, { "id": "32634", "image": "32634.png", "conversations": [ { "from": "human", "question": "Shane's school reported how many members each sports team had. Which team has the most members?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 29.\n\nNow find the corresponding team. Volleyball team corresponds to 29.", "answer": "volleyball team", "table": "**Sports team membership**\n\n| Team | Number of members |\n| --- | --- |\n| wrestling team | 27 |\n| volleyball team | 29 |\n| track team | 21 |\n| swimming team | 26 |" } ] }, { "id": "32649", "image": "32649.png", "conversations": [ { "from": "human", "question": "Look at this table. Is this relation a function?\n" }, { "from": "gpt", "solution": "Look at the x-values in the table.\n\nEach of the x-values is paired with only one y-value, so the relation is a function.", "answer": "yes", "table": "| x | y |\n| --- | --- |\n| 18 | 3 |\n| 17 | 9 |\n| 14 | 12 |" } ] }, { "id": "32650", "image": "32650.png", "conversations": [ { "from": "human", "question": "A publisher invited authors to write stories for a special anthology. How many authors wrote at least 3 stories?\n" }, { "from": "gpt", "solution": "Find the rows for 3, 4, 5, and 6 stories. Add the frequencies for these rows.\n\nAdd:\n\n9 + 6 + 20 + 4 = 39\n\n39 authors wrote at least 3 stories.", "answer": "39", "table": "**Writing stories**\n\n| Stories written | Frequency |\n| --- | --- |\n| 1 | 0 |\n| 2 | 2 |\n| 3 | 9 |\n| 4 | 6 |\n| 5 | 20 |\n| 6 | 4 |" } ] }, { "id": "32656", "image": "32656.png", "conversations": [ { "from": "human", "question": "How much more does a yellow skirt cost than a pair of brown pants?\n" }, { "from": "gpt", "solution": "Subtract the price of a pair of brown pants from the price of a yellow skirt.\n\n$19.62 - $11.13 = $8.49\n\nA yellow skirt costs $8.49 more than a pair of brown pants.", "answer": "8.49", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pair of brown pants | $11.13 |\n| yellow skirt | $19.62 |\n| pair of boots | $34.22 |\n| pair of shorts | $28.13 |\n| pair of jeans | $17.29 |" } ] }, { "id": "32661", "image": "32661.png", "conversations": [ { "from": "human", "question": "A newspaper researched how many grocery stores there are in each town. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 8, 8, 6, 6\n\nFirst, arrange the numbers from least to greatest:\n\n6, 6, 6, 8, 8\n\nNow count how many times each number appears.\n\n6 appears 3 times.\n8 appears 2 times.\n\nThe number that appears most often is 6.\n\nThe mode is 6.", "answer": "6", "table": "**Grocery stores in each town**\n\n| Town | Number of stores |\n| --- | --- |\n| Ashland | 6 |\n| Richmond | 8 |\n| Springfield | 8 |\n| Greenwood | 6 |\n| Columbia | 6 |" } ] }, { "id": "32675", "image": "32675.png", "conversations": [ { "from": "human", "question": "For a psychology assignment, Vincent kept a sleep log for 7 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n12, 7, 9, 10, 12, 9, 8\n\nFirst, arrange the numbers from least to greatest:\n\n7, 8, 9, 9, 10, 12, 12\n\nNow find the number in the middle.\n\n7, 8, 9, 9, 10, 12, 12\n\nThe number in the middle is 9.\n\nThe median is 9.", "answer": "9", "table": "**Hours slept**\n\n| Day | Hours |\n| --- | --- |\n| Tuesday | 12 |\n| Wednesday | 7 |\n| Thursday | 9 |\n| Friday | 10 |\n| Saturday | 12 |\n| Sunday | 9 |\n| Monday | 8 |" } ] }, { "id": "32677", "image": "32677.png", "conversations": [ { "from": "human", "question": "Haley surveyed people at the amusement park where she works and asked them how many times they visited last year. How many people went to an amusement park at least 3 times?\n" }, { "from": "gpt", "solution": "Find the rows for 3, 4, and 5 times. Add the frequencies for these rows.\n\nAdd:\n\n20 + 18 + 4 = 42\n\n42 people went to an amusement park at least 3 times.", "answer": "42", "table": "**Trips to an amusement park last year**\n\n| Number of trips | Frequency |\n| --- | --- |\n| 1 | 7 |\n| 2 | 14 |\n| 3 | 20 |\n| 4 | 18 |\n| 5 | 4 |" } ] }, { "id": "32687", "image": "32687.png", "conversations": [ { "from": "human", "question": "Leslie's family went on a road trip and counted the number of cars they saw each day. How many more cars did they see on Sunday than on Monday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nSunday: 388\nMonday: 181\n\nNow subtract: 388 - 181 = 207.\n\nThey saw 207 more cars on Sunday.", "answer": "207", "table": "**Number of cars**\n\n| Day | Number of cars |\n| --- | --- |\n| Friday | 264 |\n| Saturday | 130 |\n| Sunday | 388 |\n| Monday | 181 |" } ] }, { "id": "32690", "image": "32690.png", "conversations": [ { "from": "human", "question": "Leslie wrote down how many spelling words she practiced each day. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n8, 10, 10, 6, 5\n\nFirst, arrange the numbers from least to greatest:\n\n5, 6, 8, 10, 10\n\nNow find the number in the middle.\n\n5, 6, 8, 10, 10\n\nThe number in the middle is 8.\n\nThe median is 8.", "answer": "8", "table": "**Spelling words practiced**\n\n| Day | Number of spelling words |\n| --- | --- |\n| Tuesday | 8 |\n| Wednesday | 10 |\n| Thursday | 10 |\n| Friday | 6 |\n| Saturday | 5 |" } ] }, { "id": "32698", "image": "32698.png", "conversations": [ { "from": "human", "question": "Each town has 10 grocery stores. How many grocery stores are in 5 towns?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 50 grocery stores in 5 towns.", "answer": "50", "table": "| Number of towns | Number of grocery stores |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | 40 |\n| 5 | ? |" } ] }, { "id": "32699", "image": "32699.png", "conversations": [ { "from": "human", "question": "For a math project, Madelyn recorded how many students were wearing a T-shirt, polo shirt, sweatshirt, sweater, or turtleneck. How many more girls than boys wore T-shirts?\n" }, { "from": "gpt", "solution": "Find the T-shirt row. Find the numbers in this row for girls and boys.\n\ngirls: 15\nboys: 12\n\nNow subtract:\n\n15 − 12 = 3\n\n3 more girls than boys wore T-shirts.", "answer": "3", "table": "**Types of shirts**\n\n| Shirt | Girls | Boys |\n| --- | --- | --- |\n| Turtleneck | 10 | 17 |\n| Sweater | 2 | 13 |\n| T-shirt | 15 | 12 |" } ] }, { "id": "32702", "image": "32702.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Jill just missed the 11.45 A.M. train at the city park. How long does she have to wait until the next train?\n" }, { "from": "gpt", "solution": "Find 11:45 A. M. in the row for the city park.\n\nLook for the next train in that row.\n\nThe next train is at 12:00 P. M.\n\nFind the elapsed time. The elapsed time is 15 minutes.", "answer": "15 minutes", "table": "**Subway train schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 | Column 5 |\n| --- | --- | --- | --- | --- |\n| history museum | 9:45 A.M. | 10:30 A.M. | 10:45 A.M. | 11:00 A.M. |\n| city park | 10:45 A.M. | 11:30 A.M. | 11:45 A.M. | 12:00 P.M. |\n| shopping district | 11:30 A.M. | 12:15 P.M. | 12:30 P.M. | 12:45 P.M. |\n| restaurant district | 12:00 P.M. | 12:45 P.M. | 1:00 P.M. | 1:15 P.M. |\n| waterfront | 12:30 P.M. | 1:15 P.M. | 1:30 P.M. | 1:45 P.M. |\n| football stadium | 12:45 P.M. | 1:30 P.M. | 1:45 P.M. | 2:00 P.M. |\n| theater district | 1:30 P.M. | 2:15 P.M. | 2:30 P.M. | 2:45 P.M. |\n| civic center | 1:45 P.M. | 2:30 P.M. | 2:45 P.M. | 3:00 P.M. |" } ] }, { "id": "32704", "image": "32704.png", "conversations": [ { "from": "human", "question": "A veterinarian weighed all the dogs that visited her office last month. How many dogs weighed exactly 50 pounds?\n" }, { "from": "gpt", "solution": "For the number 50, the stem is 5, and the leaf is 0. Find the row where the stem is 5. In that row, count all the leaves equal to 0.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 dogs weighed exactly 50 pounds.", "answer": "3", "table": "**Dogs' weights (lbs)**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 1, 1, 6, 8 |\n| 5 | 0, 0, 0, 1, 4 |\n| 6 | 1, 2, 5, 7 |\n| 7 | 0, 6, 6, 9 |" } ] }, { "id": "32709", "image": "32709.png", "conversations": [ { "from": "human", "question": "For a psychology assignment, Reggie kept a sleep log for 5 days. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n10, 9, 10, 7, 9\n\nFirst, count how many numbers are in the group.\n\nThere are 5 numbers.\n\nNow add all the numbers together:\n\n10 + 9 + 10 + 7 + 9 = 45\n\nNow divide the sum by the number of numbers:\n\n45 ÷ 5 = 9\n\nThe mean is 9.", "answer": "9", "table": "**Hours slept**\n\n| Day | Hours |\n| --- | --- |\n| Saturday | 10 |\n| Sunday | 9 |\n| Monday | 10 |\n| Tuesday | 7 |\n| Wednesday | 9 |" } ] }, { "id": "32713", "image": "32713.png", "conversations": [ { "from": "human", "question": "A cable company analyst paid attention to how many new customers it had each day. How many more new customers did the cable company have on Friday than on Saturday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nFriday: 566\nSaturday: 421\n\nNow subtract: 566 - 421 = 145.\n\nThe cable company had 145 more new customers in Friday.", "answer": "145", "table": "**New cable customers**\n\n| Day | Number of new customers |\n| --- | --- |\n| Tuesday | 714 |\n| Wednesday | 880 |\n| Thursday | 299 |\n| Friday | 566 |\n| Saturday | 421 |" } ] }, { "id": "32714", "image": "32714.png", "conversations": [ { "from": "human", "question": "The town council reported on how many stop signs there are on each street. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n3, 9, 2, 6, 8, 10, 4\n\nFirst, count how many numbers are in the group.\n\nThere are 7 numbers.\n\nNow add all the numbers together:\n\n3 + 9 + 2 + 6 + 8 + 10 + 4 = 42\n\nNow divide the sum by the number of numbers:\n\n42 ÷ 7 = 6\n\nThe mean is 6.", "answer": "6", "table": "**Stop signs**\n\n| Street | Number of stop signs |\n| --- | --- |\n| Jackson Street | 3 |\n| Peabody Street | 9 |\n| Mason Street | 2 |\n| Spring Street | 6 |\n| Irving Street | 8 |\n| Marshall Street | 10 |\n| Walker Street | 4 |" } ] }, { "id": "32720", "image": "32720.png", "conversations": [ { "from": "human", "question": "A machine dispensed red gumdrops into bags of various sizes. What is the largest number of red gumdrops?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 9.\n\nNow find the highest leaf in the last row. The highest leaf is 0.\n\nThe largest number of red gumdrops has a stem of 9 and a leaf of 0. Write the stem first, then the leaf: 90.\n\nThe largest number of red gumdrops is 90 red gumdrops.", "answer": "90", "table": "**Red gumdrops per bag**\n\n| Stem | Leaf |\n| --- | --- |\n| 0 | 3, 6 |\n| 1 | 0, 7 |\n| 2 | |\n| 3 | |\n| 4 | 4 |\n| 5 | 1, 9 |\n| 6 | |\n| 7 | 8 |\n| 8 | |\n| 9 | 0 |" } ] }, { "id": "32722", "image": "32722.png", "conversations": [ { "from": "human", "question": "A candy dispenser put various numbers of orange candies into bags. How many bags had exactly 29 orange candies?\n" }, { "from": "gpt", "solution": "For the number 29, the stem is 2, and the leaf is 9. Find the row where the stem is 2. In that row, count all the leaves equal to 9.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 bags had exactly29 orange candies.", "answer": "4", "table": "**Orange candies per bag**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 4 |\n| 2 | 9, 9, 9, 9 |\n| 3 | 0, 3, 4, 7 |\n| 4 | 1, 4 |\n| 5 | 7 |\n| 6 | 3, 4, 5, 7 |\n| 7 | 2, 7 |" } ] }, { "id": "32725", "image": "32725.png", "conversations": [ { "from": "human", "question": "The town council reported on how many stop signs there are on each street. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n4, 5, 7, 6, 8, 4, 4, 5\n\nFirst, find the greatest number. The greatest number is 8.\n\nNext, find the least number. The least number is 4.\n\nSubtract the least number from the greatest number:\n\n8 − 4 = 4\n\nThe range is 4.", "answer": "4", "table": "**Stop signs**\n\n| Street | Number of stop signs |\n| --- | --- |\n| Smith Street | 4 |\n| Watson Street | 5 |\n| Walker Street | 7 |\n| Irving Street | 6 |\n| Mason Street | 8 |\n| Marshall Street | 4 |\n| Jackson Street | 4 |\n| Spring Street | 5 |" } ] }, { "id": "32731", "image": "32731.png", "conversations": [ { "from": "human", "question": "Ava has $13,906.00. Does she have enough to buy a designer handbag and a designer coat?\n" }, { "from": "gpt", "solution": "Add the price of a designer handbag and the price of a designer coat:\n\n$8,180.00 + $5,950.00 = $14,130.00\n\n$14,130.00 is more than $13,906.00. Ava does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pair of designer shoes | $7,759.00 |\n| designer coat | $5,950.00 |\n| designer handbag | $8,180.00 |\n| designer ball gown | $8,585.00 |\n| designer watch | $3,232.00 |\n| pair of designer boots | $5,839.00 |" } ] }, { "id": "32732", "image": "32732.png", "conversations": [ { "from": "human", "question": "Emilia went to the store and bought 5 pounds of gingersnap cookie dough, 4 pounds of snickerdoodle cookie dough, and 2 pounds of chocolate chip cookie dough. How much did she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the gingersnap cookie dough. Multiply:\n\n$8 × 5 = $40\n\nFind the cost of the snickerdoodle cookie dough. Multiply:\n\n$4 × 4 = $16\n\nFind the cost of the chocolate chip cookie dough. Multiply:\n\n$7 × 2 = $14\n\nNow find the total cost by adding:\n\n$40 + $16 + $14 = $70\n\nShe spent $70.", "answer": "70", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| gingersnap cookie dough | $8/pound |\n| snickerdoodle cookie dough | $4/pound |\n| double chocolate cookie dough | $8/pound |\n| oatmeal raisin cookie dough | $6/pound |\n| peanut butter cookie dough | $8/pound |\n| chocolate chip cookie dough | $7/pound |" } ] }, { "id": "32733", "image": "32733.png", "conversations": [ { "from": "human", "question": "How much more does a pair of skis cost than a set of golf clubs?\n" }, { "from": "gpt", "solution": "Subtract the price of a set of golf clubs from the price of a pair of skis.\n\n$648 - $332 = $316\n\nA pair of skis costs $316 more than a set of golf clubs.", "answer": "316", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| mountain bike | $633 |\n| wetsuit | $282 |\n| pair of skis | $648 |\n| surfboard | $783 |\n| set of golf clubs | $332 |" } ] }, { "id": "32740", "image": "32740.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. How long does it take to get from the historic house to the famous bridge?\n" }, { "from": "gpt", "solution": "Read the times in the first column for the historic house and the famous bridge.\n\nFind the elapsed time between 10:00 A. M. and 1:00 P. M. The elapsed time is 3 hours.\n\nNo matter which column of times you look at, the elapsed time is always 3 hours.", "answer": "3 hours", "table": "**Tour bus schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 | Column 5 | Column 6 |\n| --- | --- | --- | --- | --- | --- |\n| historic house | 10:00 A.M. | 10:15 A.M. | 10:30 A.M. | 10:45 A.M. | 11:00 A.M. |\n| art museum | 11:00 A.M. | 11:15 A.M. | 11:30 A.M. | 11:45 A.M. | 12:00 P.M. |\n| governor's mansion | 12:00 P.M. | 12:15 P.M. | 12:30 P.M. | 12:45 P.M. | 1:00 P.M. |\n| famous bridge | 1:00 P.M. | 1:15 P.M. | 1:30 P.M. | 1:45 P.M. | 2:00 P.M. |" } ] }, { "id": "32746", "image": "32746.png", "conversations": [ { "from": "human", "question": "Anthony went to the store. He bought 5 pounds of flat washers and 3 pounds of dock washers. How much did he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the flat washers. Multiply:\n\n$5.37 × 5 = $26.85\n\nFind the cost of the dock washers. Multiply:\n\n$7.29 × 3 = $21.87\n\nNow find the total cost by adding:\n\n$26.85 + $21.87 = $48.72\n\nHe spent $48.72.", "answer": "48.72", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| flat washers | $5.37/pound |\n| dock washers | $7.29/pound |\n| star washers | $9.06/pound |\n| square washers | $7.57/pound |\n| fender washers | $7.62/pound |\n| lock washers | $8.91/pound |" } ] }, { "id": "32747", "image": "32747.png", "conversations": [ { "from": "human", "question": "A business analyst compared purchases of different types of cereal. In all, how many boxes of Oaty Yums and Whole Wheat Goodness were purchased?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nOaty Yums: 307\nWhole Wheat Goodness: 204\n\nNow add: 307 + 204 = 511.\n\nIn all, 511 boxes of Oaty Yums and Whole Wheat Goodness were purchased.", "answer": "511", "table": "**Boxes of cereal purchased**\n\n| Cereal | Number of boxes purchased |\n| --- | --- |\n| Oaty Yums | 307 |\n| Whole Wheat Goodness | 204 |\n| Caramel Deelish | 460 |" } ] }, { "id": "32752", "image": "32752.png", "conversations": [ { "from": "human", "question": "Professor Mercado released the results of yesterday's pop quiz. How many students scored at least 36 points but fewer than 62 points?\n" }, { "from": "gpt", "solution": "Find the row with stem 3. Count all the leaves greater than or equal to 6.\n\nCount all the leaves in the rows with stems 4 and 5.\n\nIn the row with stem 6, count all the leaves less than 2.\n\nYou counted 11 leaves, which are blue in the stem-and-leaf plots above. 11 students scored at least 36 points but fewer than 62 points.", "answer": "11", "table": "**Pop quiz scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1, 3, 9, 9, 9 |\n| 2 | 7, 9 |\n| 3 | 1 |\n| 4 | 7 |\n| 5 | 0, 0, 1, 1, 1, 2, 4, 5, 7, 7 |\n| 6 | 4, 4, 5, 5, 8, 8 |" } ] }, { "id": "32758", "image": "32758.png", "conversations": [ { "from": "human", "question": "Kevin has $17. Does he have enough to buy a map of the United States and a cookbook?\n" }, { "from": "gpt", "solution": "Add the price of a map of the United States and the price of a cookbook:\n\n$8 + $8 = $16\n\n$16 is less than $17. Kevin does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| map of the United States | $8 |\n| cookbook | $8 |\n| airplane calendar | $9 |\n| book of brainteasers | $5 |\n| map of Canada | $4 |\n| dog calendar | $5 |" } ] }, { "id": "32760", "image": "32760.png", "conversations": [ { "from": "human", "question": "How much money does Maura need to buy a history book and a hardcover book?\n" }, { "from": "gpt", "solution": "Add the price of a history book and the price of a hardcover book:\n\n$9.54 + $5.65 = $15.19\n\nMaura needs $15.19.", "answer": "15.19", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| poetry book | $8.59 |\n| science book | $7.63 |\n| hardcover book | $5.65 |\n| spelling workbook | $2.54 |\n| history book | $9.54 |\n| science-fiction book | $1.67 |" } ] }, { "id": "32764", "image": "32764.png", "conversations": [ { "from": "human", "question": "Daniel paid attention to how many comic strips he read in the past 7 days. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n5, 1, 8, 2, 3, 7, 2\n\nFirst, count how many numbers are in the group.\n\nThere are 7 numbers.\n\nNow add all the numbers together:\n\n5 + 1 + 8 + 2 + 3 + 7 + 2 = 28\n\nNow divide the sum by the number of numbers:\n\n28 ÷ 7 = 4\n\nThe mean is 4.", "answer": "4", "table": "**Comic strips read**\n\n| Day | Number of comic strips |\n| --- | --- |\n| Saturday | 5 |\n| Sunday | 1 |\n| Monday | 8 |\n| Tuesday | 2 |\n| Wednesday | 3 |\n| Thursday | 7 |\n| Friday | 2 |" } ] }, { "id": "32766", "image": "32766.png", "conversations": [ { "from": "human", "question": "A sandwich shop in Belmont polled its customers regarding their favorite sandwiches. What fraction of customers preferred roast beef sandwiches? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many customers preferred roast beef sandwiches.\n\n810\n\nFind how many customers participated in the poll in total.\n\n810 + 780 + 950 + 780 = 3,320\n\nDivide 810 by 3,320.\n\n\\frac{810}{3,320}\n\nReduce the fraction.\n\n\\frac{810}{3,320} → \\frac{81}{332}\n\n\\frac{81}{332} of customers preferred roast beef sandwiches.", "answer": "81/332", "table": "**Sandwich preference**\n\n| Sandwich | Number of customers |\n| --- | --- |\n| Roast beef | 810 |\n| Egg salad | 780 |\n| Ham | 950 |\n| Other | 780 |" } ] }, { "id": "32773", "image": "32773.png", "conversations": [ { "from": "human", "question": "An actor was informed how many fan letters he received each day. How many fan letters total were received on Saturday and Monday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nSaturday: 7,790\nMonday: 6,590\n\nNow add: 7,790 + 6,590 = 14,380.\n\n14,380 fan letters total were received on Saturday and Monday.", "answer": "14,380", "table": "**Fan letters received**\n\n| Day | Number of fan letters |\n| --- | --- |\n| Friday | 8,703 |\n| Saturday | 7,790 |\n| Monday | 6,590 |\n| Tuesday | 5,921 |\n| Wednesday | 4,173 |" } ] }, { "id": "32775", "image": "32775.png", "conversations": [ { "from": "human", "question": "A girl compared the ages of her cousins. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n3, 4, 6, 9, 4\n\nFirst, find the greatest number. The greatest number is 9.\n\nNext, find the least number. The least number is 3.\n\nSubtract the least number from the greatest number:\n\n9 − 3 = 6\n\nThe range is 6.", "answer": "6", "table": "**Ages of cousins**\n\n| Name | Age (years) |\n| --- | --- |\n| Savannah | 3 |\n| Leah | 4 |\n| Maya | 6 |\n| Tyrone | 9 |\n| Debbie | 4 |" } ] }, { "id": "32777", "image": "32777.png", "conversations": [ { "from": "human", "question": "In considering whether to open a new branch, the city council examined the number of times some typical residents went to the library last month. How many people went to the library more than 4 times last month?\n" }, { "from": "gpt", "solution": "Find the row for 5 times last month and read the frequency. The frequency is 3.\n\n3 people went to the library more than 4 times last month.", "answer": "3", "table": "**Going to the library last month**\n\n| Number of trips | Frequency |\n| --- | --- |\n| 1 | 7 |\n| 2 | 14 |\n| 3 | 13 |\n| 4 | 16 |\n| 5 | 3 |" } ] }, { "id": "32780", "image": "32780.png", "conversations": [ { "from": "human", "question": "For a science fair project, Will tracked the temperature each day. How many temperature readings were exactly 14°C?\n" }, { "from": "gpt", "solution": "For the number 14, the stem is 1, and the leaf is 4. Find the row where the stem is 1. In that row, count all the leaves equal to 4.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 temperature readings were exactly14°C.", "answer": "3", "table": "**Daily temperatures (°C)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 4, 4, 4, 9 |\n| 2 | 0, 2, 7, 9 |\n| 3 | 3, 7, 9, 9 |\n| 4 | 0, 0, 1 |" } ] }, { "id": "32783", "image": "32783.png", "conversations": [ { "from": "human", "question": "Each lake has 5 fish. How many fish are in 4 lakes?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 20 fish in 4 lakes.", "answer": "20", "table": "| Number of lakes | Number of fish |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | ? |" } ] }, { "id": "32787", "image": "32787.png", "conversations": [ { "from": "human", "question": "How much more does a baseball helmet cost than a baseball bat?\n" }, { "from": "gpt", "solution": "Subtract the price of a baseball bat from the price of a baseball helmet.\n\n$24.12 - $14.86 = $9.26\n\nA baseball helmet costs $9.26 more than a baseball bat.", "answer": "9.26", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| baseball helmet | $24.12 |\n| scooter | $29.35 |\n| football | $13.40 |\n| baseball bat | $14.86 |" } ] }, { "id": "32792", "image": "32792.png", "conversations": [ { "from": "human", "question": "How much money does Naomi need to buy a stuffed animal and a video game?\n" }, { "from": "gpt", "solution": "Add the price of a stuffed animal and the price of a video game:\n\n$15 + $51 = $66\n\nNaomi needs $66.", "answer": "66", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| teddy bear | $13 |\n| model railroad set | $49 |\n| video game | $51 |\n| stuffed animal | $15 |" } ] }, { "id": "32793", "image": "32793.png", "conversations": [ { "from": "human", "question": "A farmer wrote down how many kilograms of cherries were sold in the past 5 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 5, 8, 10, 6\n\nFirst, arrange the numbers from least to greatest:\n\n5, 6, 8, 9, 10\n\nNow find the number in the middle.\n\n5, 6, 8, 9, 10\n\nThe number in the middle is 8.\n\nThe median is 8.", "answer": "8", "table": "**Cherries sold**\n\n| Day | Kilograms |\n| --- | --- |\n| Saturday | 9 |\n| Sunday | 5 |\n| Monday | 8 |\n| Tuesday | 10 |\n| Wednesday | 6 |" } ] }, { "id": "32802", "image": "32802.png", "conversations": [ { "from": "human", "question": "Hugo designs bow ties for a local boutique store. The store manager counted the ties currently on display, tracking them by material and shape. What is the probability that a randomly selected bow tie is made of cotton and is shaped like a butterfly? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the bow tie is made of cotton\" and B be the event \"the bow tie is shaped like a butterfly\".\nTo find the probability that a bow tie is made of cotton and is shaped like a butterfly, first identify the sample space and the event.\nThe outcomes in the sample space are the different bow ties. Each bow tie is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the bow tie is made of cotton and is shaped like a butterfly\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the bow tie is made of cotton and is shaped like a butterfly\", so look at the table to see how many bow ties are made of cotton and are shaped like a butterfly.\nThe number of bow ties that are made of cotton and are shaped like a butterfly is 5.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of bow ties.\n5 + 5 + 5 + 4 = 19\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{5}{19}\nThe probability that a bow tie is made of cotton and is shaped like a butterfly is \\frac{5}{19}.", "answer": "5/19", "table": "| | Butterfly | Batwing |\n| --- | --- | --- |\n| Cotton | 5 | 5 |\n| Suede | 5 | 4 |" } ] }, { "id": "32804", "image": "32804.png", "conversations": [ { "from": "human", "question": "How much money does Nina need to buy 2 orders of buttermilk pancakes?\n" }, { "from": "gpt", "solution": "Find the total cost of 2 orders of buttermilk pancakes by multiplying 2 times the price of buttermilk pancakes.\n\n$7.24 × 2 = $14.48\n\nNina needs $14.48.", "answer": "14.48", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| blueberry pancakes | $8.62 |\n| buttermilk pancakes | $7.24 |\n| poached eggs | $3.49 |\n| poppyseed muffin | $1.08 |" } ] }, { "id": "32805", "image": "32805.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{5 - 3}{15 - 14}\n = \\frac{2}{1}\n = 2\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{6 - 3}{16 - 14}\n = \\frac{3}{2}\n = 1\\frac{1}{2}\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 14 | 3 |\n| 15 | 5 |\n| 16 | 6 |" } ] }, { "id": "32807", "image": "32807.png", "conversations": [ { "from": "human", "question": "How much more does a set of bunk beds cost than a couch?\n" }, { "from": "gpt", "solution": "Subtract the price of a couch from the price of a set of bunk beds.\n\n$334.00 - $217.00 = $117.00\n\nA set of bunk beds costs $117.00 more than a couch.", "answer": "117", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| couch | $217.00 |\n| leather chair | $292.00 |\n| set of bunk beds | $334.00 |\n| hammock | $228.00 |" } ] }, { "id": "32810", "image": "32810.png", "conversations": [ { "from": "human", "question": "If Kendra buys 1+1/2 kilograms of double chocolate cookie dough, how much will she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the double chocolate cookie dough. Multiply the price per kilogram by the number of kilograms.\n$2 × 1\\frac{1}{2} = $2 × 1.5 = $3\nShe will spend $3.", "answer": "3", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| chocolate chip cookie dough | $3/kg |\n| oatmeal raisin cookie dough | $2/kg |\n| snickerdoodle cookie dough | $2/kg |\n| double chocolate cookie dough | $2/kg |\n| gingersnap cookie dough | $3/kg |" } ] }, { "id": "32812", "image": "32812.png", "conversations": [ { "from": "human", "question": "How much money does Gabby need to buy 5 tickets for a Caribbean cruise?\n" }, { "from": "gpt", "solution": "Find the total cost of 5 tickets for a Caribbean cruise by multiplying 5 times the price of a ticket for a Caribbean cruise.\n\n$988.00 × 5 = $4,940.00\n\nGabby needs $4,940.00.", "answer": "4,940", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| ticket for a South American cruise | $251.00 |\n| ticket for an Australian cruise | $257.00 |\n| ticket for a Caribbean cruise | $988.00 |\n| ticket for an Alaskan cruise | $627.00 |" } ] }, { "id": "32813", "image": "32813.png", "conversations": [ { "from": "human", "question": "Steven has $0.11. Does he have enough to buy a green marble and a green bouncy ball?\n" }, { "from": "gpt", "solution": "Add the price of a green marble and the price of a green bouncy ball:\n\n$0.08 + $0.02 = $0.10\n\n$0.10 is less than $0.11. Steven does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| green marble | $0.08 |\n| green bouncy ball | $0.02 |\n| shapes stencil | $0.02 |\n| wooden block | $0.08 |\n| red kazoo | $0.02 |\n| colorful pinwheel | $0.03 |" } ] }, { "id": "32816", "image": "32816.png", "conversations": [ { "from": "human", "question": "As part of a math lab, Amelia tracked the number of times her classmates drew a number between 2 and 8. How many students drew a number greater than 3?\n" }, { "from": "gpt", "solution": "Find the rows for 4, 5, 6, 7, and 8. Add the frequencies for these rows.\n\nAdd:\n\n7 + 9 + 3 + 14 + 13 = 46\n\n46 students drew a number greater than 3.", "answer": "46", "table": "**Drawing a card between 2 and 8**\n\n| Number drawn | Frequency |\n| --- | --- |\n| 2 | 19 |\n| 3 | 12 |\n| 4 | 7 |\n| 5 | 9 |\n| 6 | 3 |\n| 7 | 14 |\n| 8 | 13 |" } ] }, { "id": "32822", "image": "32822.png", "conversations": [ { "from": "human", "question": "Every year Westminster has a citywide relay and reports the winning times. According to the table, what was the rate of change between 2015 and 2016?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{41 minutes - 35 minutes}{2016 - 2015}\n = \\frac{41 minutes - 35 minutes}{1 year}\n = \\frac{6 minutes}{1 year}\n = 6 minutes per year\nThe rate of change between 2015 and 2016 was 6 minutes per year.", "answer": "6", "table": "**Winning relay times**\n\n| Year | Winning time (minutes) |\n| --- | --- |\n| 2012 | 39 |\n| 2013 | 34 |\n| 2014 | 36 |\n| 2015 | 35 |\n| 2016 | 41 |" } ] }, { "id": "32833", "image": "32833.png", "conversations": [ { "from": "human", "question": "Alexa has $87. Does she have enough to buy a tree frog and a tarantula?\n" }, { "from": "gpt", "solution": "Add the price of a tree frog and the price of a tarantula:\n\n$40 + $49 = $89\n\n$89 is more than $87. Alexa does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| tarantula | $49 |\n| finch | $94 |\n| tree frog | $40 |\n| rabbit | $89 |" } ] }, { "id": "32837", "image": "32837.png", "conversations": [ { "from": "human", "question": "A Girl Scout troop recorded how many boxes of cookies they sold each day for a week. According to the table, what was the rate of change between Wednesday and Thursday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{41 boxes - 39 boxes}{1 day}\n = \\frac{2 boxes}{1 day}\n = 2 boxes per day\nThe rate of change between Wednesday and Thursday was 2 boxes per day.", "answer": "2", "table": "**Boxes of Girl Scout cookies sold**\n\n| Day | Boxes of cookies |\n| --- | --- |\n| Sunday | 36 |\n| Monday | 35 |\n| Tuesday | 32 |\n| Wednesday | 39 |\n| Thursday | 41 |" } ] }, { "id": "32843", "image": "32843.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{6 - 9}{16 - 15}\n = \\frac{-3}{1}\n = -3\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{0 - 9}{17 - 15}\n = \\frac{-9}{2}\n = -4\\frac{1}{2}\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 15 | 9 |\n| 16 | 6 |\n| 17 | 0 |" } ] }, { "id": "32844", "image": "32844.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{9 - 15}{11 - 10}\n = \\frac{-6}{1}\n = -6\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{3 - 15}{12 - 10}\n = \\frac{-12}{2}\n = -6\nThe two rates of change are the same.\n6.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 10 | 15 |\n| 11 | 9 |\n| 12 | 3 |" } ] }, { "id": "32856", "image": "32856.png", "conversations": [ { "from": "human", "question": "For an economics project, Brittany determined the cost of ferry rides for bicycles and cars. How much does it cost to take a bicycle on the Seattle-Bremerton ferry?\n" }, { "from": "gpt", "solution": "First, find the row for Seattle-Bremerton. Then find the number in the Bicycle column.\n\nThis number is $8.00. It costs $8 to take a bicycle on the Seattle-Bremerton ferry.", "answer": "8", "table": "**Ferry fares**\n\n| Ferry | Car | Bicycle |\n| --- | --- | --- |\n| Seattle-Bremerton | $12 | $8 |\n| Southport-Fort Fisher | $5 | $2 |\n| Ocracoke | $15 | $3 |" } ] }, { "id": "32870", "image": "32870.png", "conversations": [ { "from": "human", "question": "Dr. Pittman, a pediatrician, weighed all the children who recently visited his office. What is the weight of the heaviest child?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 9.\n\nNow find the highest leaf in the last row. The highest leaf is 0.\n\nThe weight of the heaviest child has a stem of 9 and a leaf of 0. Write the stem first, then the leaf: 90.\n\nThe weight of the heaviest child is 90 pounds.", "answer": "90", "table": "**Children's weights (lbs)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 5 |\n| 2 | 1, 4, 7 |\n| 3 | 6, 9 |\n| 4 | 3 |\n| 5 | 8 |\n| 6 | 3, 9 |\n| 7 | 0 |\n| 8 | |\n| 9 | 0 |" } ] }, { "id": "32871", "image": "32871.png", "conversations": [ { "from": "human", "question": "Kayla and her brother are at a store shopping for a beanbag chair for their school's library. The store sells beanbag chairs with different fabrics and types of filling. What is the probability that a randomly selected beanbag chair is filled with foam and is made from velvet? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the beanbag chair is filled with foam\" and B be the event \"the beanbag chair is made from velvet\".\nTo find the probability that a beanbag chair is filled with foam and is made from velvet, first identify the sample space and the event.\nThe outcomes in the sample space are the different beanbag chairs. Each beanbag chair is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the beanbag chair is filled with foam and is made from velvet\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the beanbag chair is filled with foam and is made from velvet\", so look at the table to see how many beanbag chairs are filled with foam and are made from velvet.\nThe number of beanbag chairs that are filled with foam and are made from velvet is 4.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of beanbag chairs.\n4 + 4 + 2 + 4 = 14\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{4}{14}\n = \\frac{2}{7}\nThe probability that a beanbag chair is filled with foam and is made from velvet is \\frac{2}{7}.", "answer": "2/7", "table": "| | Velvet | Suede |\n| --- | --- | --- |\n| Foam | 4 | 2 |\n| Beads | 4 | 4 |" } ] }, { "id": "32888", "image": "32888.png", "conversations": [ { "from": "human", "question": "A vendor who sold bread at farmers' markets counted the number of leftover loaves at the end of each day. According to the table, what was the rate of change between Wednesday and Thursday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{9 loaves - 8 loaves}{1 day}\n = \\frac{1 loaf}{1 day}\n = 1 loaf per day\nThe rate of change between Wednesday and Thursday was 1 loaf per day.", "answer": "1", "table": "**Loaves of leftover bread**\n\n| Day | Leftover loaves |\n| --- | --- |\n| Tuesday | 0 |\n| Wednesday | 8 |\n| Thursday | 9 |\n| Friday | 9 |\n| Saturday | 2 |" } ] }, { "id": "32897", "image": "32897.png", "conversations": [ { "from": "human", "question": "Jennifer was the lucky journalist assigned to cover the Best Beard Competition. She recorded the contestants' beard colors in her notepad. Jennifer also noted if the contestants were signed up for the mustache competition later in the day. What is the probability that a randomly selected contestant is also in the mustache competition and has a red beard? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the contestant is also in the mustache competition\" and B be the event \"the contestant has a red beard\".\nTo find the probability that a contestant is also in the mustache competition and has a red beard, first identify the sample space and the event.\nThe outcomes in the sample space are the different contestants. Each contestant is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the contestant is also in the mustache competition and has a red beard\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the contestant is also in the mustache competition and has a red beard\", so look at the table to see how many contestants are also in the mustache competition and have a red beard.\nThe number of contestants who are also in the mustache competition and have a red beard is 5.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of contestants.\n5 + 5 + 3 + 2 = 15\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{5}{15}\n = \\frac{1}{3}\nThe probability that a contestant is also in the mustache competition and has a red beard is \\frac{1}{3}.", "answer": "1/3", "table": "| | Red beard | Grey beard |\n| --- | --- | --- |\n| Only in the beard competition | 5 | 3 |\n| Also in the mustache competition | 5 | 2 |" } ] }, { "id": "32900", "image": "32900.png", "conversations": [ { "from": "human", "question": "How much more does an antique cherry bookcase cost than an antique oak writing desk?\n" }, { "from": "gpt", "solution": "Subtract the price of an antique oak writing desk from the price of an antique cherry bookcase.\n\n$737.00 - $569.00 = $168.00\n\nAn antique cherry bookcase costs $168.00 more than an antique oak writing desk.", "answer": "168", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| antique cedar cabinet | $692.00 |\n| antique hand-painted trunk | $867.00 |\n| antique cherry bookcase | $737.00 |\n| antique oak writing desk | $569.00 |" } ] }, { "id": "32928", "image": "32928.png", "conversations": [ { "from": "human", "question": "A game show viewer monitors how often a wheel numbered 1 through 5 stops at each number. How many people spun 5?\n" }, { "from": "gpt", "solution": "Find the row for 5 and read the frequency. The frequency is 4.\n\n4 people spun 5.", "answer": "4", "table": "**Spinning a wheel numbered 1 through 5**\n\n| Number spun | Frequency |\n| --- | --- |\n| 1 | 16 |\n| 2 | 15 |\n| 3 | 9 |\n| 4 | 2 |\n| 5 | 4 |" } ] }, { "id": "32931", "image": "32931.png", "conversations": [ { "from": "human", "question": "A printing shop kept a log of how many sheets of paper were used in the past 4 days. How many more sheets of paper did the printing shop use on Sunday than on Saturday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nSunday: 371\nSaturday: 110\n\nNow subtract: 371 - 110 = 261.\n\nThe printing shop used 261 more sheets of paper on Sunday.", "answer": "261", "table": "**Sheets of paper used**\n\n| Day | Number of sheets of paper |\n| --- | --- |\n| Saturday | 110 |\n| Sunday | 371 |\n| Monday | 241 |\n| Tuesday | 809 |" } ] }, { "id": "32932", "image": "32932.png", "conversations": [ { "from": "human", "question": "Each laundry hamper has 5 dresses. How many dresses are in 6 laundry hampers?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 30 dresses in 6 laundry hampers.", "answer": "30", "table": "| Number of laundry hampers | Number of dresses |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | 20 |\n| 5 | 25 |\n| 6 | ? |" } ] }, { "id": "32934", "image": "32934.png", "conversations": [ { "from": "human", "question": "Principal Olsen reported the state test scores from some students at his school. How many students scored exactly 49 points?\n" }, { "from": "gpt", "solution": "For the number 49, the stem is 4, and the leaf is 9. Find the row where the stem is 4. In that row, count all the leaves equal to 9.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 students scored exactly 49 points.", "answer": "4", "table": "**Test scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 2, 6 |\n| 2 | 4, 8, 9 |\n| 3 | |\n| 4 | 6, 9, 9, 9, 9 |\n| 5 | 6, 7 |\n| 6 | 3 |\n| 7 | |\n| 8 | 8 |" } ] }, { "id": "32936", "image": "32936.png", "conversations": [ { "from": "human", "question": "The Hillsdale Ski Resort asked its guests how many times they went sledding last winter. How many guests went sledding exactly 3 times last winter?\n" }, { "from": "gpt", "solution": "Find the row for 3 times and read the frequency. The frequency is 20.\n\n20 guests went sledding exactly 3 times last winter.", "answer": "20", "table": "**Sledding last winter**\n\n| Number of times | Frequency |\n| --- | --- |\n| 0 | 0 |\n| 1 | 15 |\n| 2 | 19 |\n| 3 | 20 |\n| 4 | 1 |\n| 5 | 17 |\n| 6 | 14 |" } ] }, { "id": "32937", "image": "32937.png", "conversations": [ { "from": "human", "question": "To figure out how many vacation days he had left to use, Rob looked over his old calendars to figure out how many days of vacation he had taken each year. According to the table, what was the rate of change between 2015 and 2016?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{9 vacation days - 12 vacation days}{2016 - 2015}\n = \\frac{9 vacation days - 12 vacation days}{1 year}\n = \\frac{-3 vacation days}{1 year}\n = -3 vacation days per year\nThe rate of change between 2015 and 2016 was - 3 vacation days per year.", "answer": "-3", "table": "**Vacation days taken by Rob**\n\n| Year | Vacation days |\n| --- | --- |\n| 2015 | 12 |\n| 2016 | 9 |\n| 2017 | 25 |\n| 2018 | 23 |\n| 2019 | 6 |" } ] }, { "id": "32940", "image": "32940.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Jake got on the bus at the hotel at 8.45 A.M. What time will he get to the baseball stadium?\n" }, { "from": "gpt", "solution": "Find 8:45 A. M. in the row for the hotel. That column shows the schedule for the bus that Jake is on.\n\nLook down the column until you find the row for the baseball stadium.\n\nJake will get to the baseball stadium at 9:30 A. M.", "answer": "9:30 A.M.", "table": "**Hotel shuttle bus schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 | Column 5 | Column 6 |\n| --- | --- | --- | --- | --- | --- |\n| park | 8:00 A.M. | 8:15 A.M. | 8:45 A.M. | 9:15 A.M. | 9:30 A.M. |\n| hotel | 8:30 A.M. | 8:45 A.M. | 9:15 A.M. | 9:45 A.M. | 10:00 A.M. |\n| baseball stadium | 9:15 A.M. | 9:30 A.M. | 10:00 A.M. | 10:30 A.M. | 10:45 A.M. |\n| downtown | 10:00 A.M. | 10:15 A.M. | 10:45 A.M. | 11:15 A.M. | 11:30 A.M. |\n| airport | 10:45 A.M. | 11:00 A.M. | 11:30 A.M. | 12:00 P.M. | 12:15 P.M. |\n| football stadium | 11:45 A.M. | 12:00 P.M. | 12:30 P.M. | 1:00 P.M. | 1:15 P.M. |\n| art museum | 12:45 P.M. | 1:00 P.M. | 1:30 P.M. | 2:00 P.M. | 2:15 P.M. |\n| softball field | 1:45 P.M. | 2:00 P.M. | 2:30 P.M. | 3:00 P.M. | 3:15 P.M. |" } ] }, { "id": "32942", "image": "32942.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $1,395, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $1,395, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $915 | 21,300 | 3,800 |\n| $1,075 | 18,000 | 7,800 |\n| $1,235 | 14,700 | 11,800 |\n| $1,395 | 11,400 | 15,800 |\n| $1,555 | 8,100 | 19,800 |" } ] }, { "id": "32946", "image": "32946.png", "conversations": [ { "from": "human", "question": "Each platter has 10 bagels. How many bagels are on 5 platters?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 50 bagels on 5 platters.", "answer": "50", "table": "| Number of platters | Number of bagels |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | 40 |\n| 5 | ? |" } ] }, { "id": "32954", "image": "32954.png", "conversations": [ { "from": "human", "question": "Alice counted the number of ducks at each pond in the city. How many ponds had at least 50 ducks?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 5, 6, 7, 8, and 9.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 ponds had at least 50 ducks.", "answer": "3", "table": "**Ducks per pond**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 2 |\n| 2 | 0, 0, 3 |\n| 3 | |\n| 4 | 6 |\n| 5 | |\n| 6 | 6 |\n| 7 | 6 |\n| 8 | |\n| 9 | 0 |" } ] }, { "id": "32960", "image": "32960.png", "conversations": [ { "from": "human", "question": "A toy store employee counted the number of toys in each bin in the sale section. What is the largest number of toys?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 8.\n\nNow find the highest leaf in the last row. The highest leaf is 8.\n\nThe largest number of toys has a stem of 8 and a leaf of 8. Write the stem first, then the leaf: 88.\n\nThe largest number of toys is 88 toys.", "answer": "88", "table": "**Toys per bin**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 2 |\n| 3 | 0, 1, 7 |\n| 4 | 0, 3, 4, 4, 5, 6, 9 |\n| 5 | |\n| 6 | 0, 7 |\n| 7 | 0, 1, 2, 2, 4, 7 |\n| 8 | 0, 0, 6, 8, 8 |" } ] }, { "id": "32971", "image": "32971.png", "conversations": [ { "from": "human", "question": "In science class, Celine is learning about places with extreme temperatures. She learns that the highest temperature ever recorded was in Death Valley, California. She also learns that the lowest temperature ever recorded was in Vostok Station, Antarctica. The record-setting temperatures of the two locations are shown in the table. Which location's temperature was further from zero?\n" }, { "from": "gpt", "solution": "A positive number means the temperature was above zero. A negative number means the temperature was below zero.\nTo find which temperature was further from zero, use absolute value. Absolute value tells you how far a temperature is from zero.\nDeath Valley: |134| = 134\nVostok Station: |-128| = 128\nThe temperature of Death Valley was further from zero. It was 134 degrees above zero.", "answer": "Death Valley", "table": "| Location | Temperature (°F) |\n| --- | --- |\n| Death Valley | 134 |\n| Vostok Station | -128 |" } ] }, { "id": "32973", "image": "32973.png", "conversations": [ { "from": "human", "question": "For an assignment, Ian looked at which countries got the most Nobel Prizes in various decades. In the 1970s, how many more Nobel Prize winners did Russia have than Holland?\n" }, { "from": "gpt", "solution": "Find the 1970 s column. Find the numbers in this column for Russia and Holland.\n\nRussia: 5\nHolland: 2\n\nNow subtract:\n\n5 − 2 = 3\n\nRussia had 3 more Nobel Prize winners in the 1970 s than Holland.", "answer": "3", "table": "**Nobel Prize winners**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 1970s | 1980s |\n| Russia | 5 | 1 |\n| Germany | 9 | 11 |\n| Holland | 2 | 2 |\n| Italy | 2 | 3 |" } ] }, { "id": "32978", "image": "32978.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $960, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $960, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $880 | 19,000 | 8,600 |\n| $960 | 15,600 | 9,300 |\n| $1,040 | 12,200 | 10,000 |\n| $1,120 | 8,800 | 10,700 |\n| $1,200 | 5,400 | 11,400 |" } ] }, { "id": "32980", "image": "32980.png", "conversations": [ { "from": "human", "question": "A museum curator counted the number of paintings in each exhibit at the art museum. How many exhibits have at least 64 paintings but fewer than 74 paintings?\n" }, { "from": "gpt", "solution": "Find the row with stem 6. Count all the leaves greater than or equal to 4.\n\nIn the row with stem 7, count all the leaves less than 4.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plots above. 4 exhibits have at least 64 paintings but fewer than 74 paintings.", "answer": "4", "table": "**Paintings per exhibit**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 2, 3 |\n| 5 | 0, 3 |\n| 6 | 0, 6, 6, 7 |\n| 7 | 0, 4, 5, 8, 9 |\n| 8 | 3, 3, 6, 8, 9 |\n| 9 | 0 |" } ] }, { "id": "32981", "image": "32981.png", "conversations": [ { "from": "human", "question": "The art club examined how many cookies each student baked for the bake sale. Who baked the fewest cookies?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 21.\n\nNow find the corresponding name. Sebastian corresponds to 21.", "answer": "Sebastian", "table": "**Cookies baked**\n\n| Name | Number of cookies |\n| --- | --- |\n| Cindy | 28 |\n| Sebastian | 21 |\n| Allie | 24 |\n| Jack | 23 |" } ] }, { "id": "32989", "image": "32989.png", "conversations": [ { "from": "human", "question": "Annie's class recorded how many states each student has visited. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n4, 8, 3, 3, 10\n\nFirst, arrange the numbers from least to greatest:\n\n3, 3, 4, 8, 10\n\nNow find the number in the middle.\n\n3, 3, 4, 8, 10\n\nThe number in the middle is 4.\n\nThe median is 4.", "answer": "4", "table": "**States visited**\n\n| Name | Number of states |\n| --- | --- |\n| Annie | 4 |\n| Valentina | 8 |\n| Sharon | 3 |\n| Mary | 3 |\n| Devon | 10 |" } ] }, { "id": "32999", "image": "32999.png", "conversations": [ { "from": "human", "question": "At Kingwood Consulting, the head of human resources examined how the number of employees with health care benefits varied in response to policy changes. According to the table, what was the rate of change between 2020 and 2021?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{43 employees - 47 employees}{2021 - 2020}\n = \\frac{43 employees - 47 employees}{1 year}\n = \\frac{-4 employees}{1 year}\n = -4 employees per year\nThe rate of change between 2020 and 2021 was - 4 employees per year.", "answer": "-4", "table": "**Employees with health care benefits**\n\n| Year | Employees |\n| --- | --- |\n| 2017 | 46 |\n| 2018 | 48 |\n| 2019 | 39 |\n| 2020 | 47 |\n| 2021 | 43 |" } ] }, { "id": "33000", "image": "33000.png", "conversations": [ { "from": "human", "question": "An Idaho farmer has been monitoring crop prices over time. In 2004, did potatoes or onions cost more per cwt?\n" }, { "from": "gpt", "solution": "Find the 2004 column. Compare the numbers in this column for potatoes and onions.\n\n$7.00 is more than $4.00. In 2004, onions cost more per cwt.", "answer": "onions", "table": "**Idaho crop prices per cwt**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Crop | 2004 | 2005 |\n| Onions | $7 | $8 |\n| Lentils | $14 | $12 |\n| Peas | $7 | $6 |\n| Potatoes | $4 | $6 |" } ] }, { "id": "33001", "image": "33001.png", "conversations": [ { "from": "human", "question": "Some friends compared the sizes of their sticker collections. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n74, 66, 72, 71, 69, 71, 69, 68\n\nFirst, count how many numbers are in the group.\n\nThere are 8 numbers.\n\nNow add all the numbers together:\n\n74 + 66 + 72 + 71 + 69 + 71 + 69 + 68 = 560\n\nNow divide the sum by the number of numbers:\n\n560 ÷ 8 = 70\n\nThe mean is 70.", "answer": "70", "table": "**Sticker collections**\n\n| Name | Number of stickers |\n| --- | --- |\n| Diego | 74 |\n| Tammy | 66 |\n| Nellie | 72 |\n| Wanda | 71 |\n| Zane | 69 |\n| Jared | 71 |\n| Alexa | 69 |\n| Vicky | 68 |" } ] }, { "id": "33007", "image": "33007.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{10 - 4}{3 - 2}\n = \\frac{6}{1}\n = 6\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{12 - 10}{4 - 3}\n = \\frac{2}{1}\n = 2\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 2 | 4 |\n| 3 | 10 |\n| 4 | 12 |" } ] }, { "id": "33009", "image": "33009.png", "conversations": [ { "from": "human", "question": "Dave has $646.00. Does he have enough to buy a case of beakers and a hot plate?\n" }, { "from": "gpt", "solution": "Add the price of a case of beakers and the price of a hot plate:\n\n$469.00 + $175.00 = $644.00\n\n$644.00 is less than $646.00. Dave does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| hot plate | $175.00 |\n| microscope | $841.00 |\n| scale | $178.00 |\n| case of beakers | $469.00 |\n| precision balance | $964.00 |\n| pipette | $342.00 |" } ] }, { "id": "33013", "image": "33013.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $635, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $635, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $275 | 19,400 | 6,800 |\n| $395 | 16,400 | 9,400 |\n| $515 | 13,400 | 12,000 |\n| $635 | 10,400 | 14,600 |\n| $755 | 7,400 | 17,200 |" } ] }, { "id": "33015", "image": "33015.png", "conversations": [ { "from": "human", "question": "How much more does a Cavalier King Charles Spaniel cost than an Akita?\n" }, { "from": "gpt", "solution": "Subtract the price of an Akita from the price of a Cavalier King Charles Spaniel.\n\n$3,586 - $3,105 = $481\n\nA Cavalier King Charles Spaniel costs $481 more than an Akita.", "answer": "481", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| Akita | $3,105 |\n| Cavalier King Charles Spaniel | $3,586 |\n| Beagle | $1,166 |\n| Yorkshire Terrier | $1,354 |" } ] }, { "id": "33018", "image": "33018.png", "conversations": [ { "from": "human", "question": "An agricultural agency is researching how much cheese people have been eating in different parts of the world. Which country consumed the most cheese per capita in 1996?\n" }, { "from": "gpt", "solution": "Look at the numbers in the 1996 column. Find the greatest number in this column.\n\nThe greatest number is 12, which is in the Germany row. Germany consumed the most cheese per capita in 1996.", "answer": "Germany", "table": "**Cheese consumption per capita (kg)**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 1996 | 2006 |\n| Germany | 12 | 20 |\n| Austria | 10 | 17 |\n| Great Britain | 9 | 10 |" } ] }, { "id": "33019", "image": "33019.png", "conversations": [ { "from": "human", "question": "In order to complete their model of a futuristic highway, students in Ms. Frank's design class find out how many toy cars each student can bring to class. How many students have more than 1 toy car?\n" }, { "from": "gpt", "solution": "Find the rows for 2, 3, 4, 5, and 6 toy cars. Add the frequencies for these rows.\n\nAdd:\n\n17 + 6 + 19 + 2 + 18 = 62\n\n62 students have more than 1 toy car.", "answer": "62", "table": "**Toy cars**\n\n| Number of toy cars | Frequency |\n| --- | --- |\n| 0 | 15 |\n| 1 | 5 |\n| 2 | 17 |\n| 3 | 6 |\n| 4 | 19 |\n| 5 | 2 |\n| 6 | 18 |" } ] }, { "id": "33024", "image": "33024.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{11 - 2}{5 - 4}\n = \\frac{9}{1}\n = 9\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{20 - 2}{6 - 4}\n = \\frac{18}{2}\n = 9\nThe two rates of change are the same.\nIf you checked the rate of change between rows 2 and 3, you would find that it is also 9.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 4 | 2 |\n| 5 | 11 |\n| 6 | 20 |" } ] }, { "id": "33026", "image": "33026.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{14 - 20}{7 - 6}\n = \\frac{-6}{1}\n = -6\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{5 - 20}{8 - 6}\n = \\frac{-15}{2}\n = -7\\frac{1}{2}\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 6 | 20 |\n| 7 | 14 |\n| 8 | 5 |" } ] }, { "id": "33040", "image": "33040.png", "conversations": [ { "from": "human", "question": "Kenny's Candies has been studying how much chocolate people have been eating in different countries. Which country consumed the least chocolate per capita in 2002?\n" }, { "from": "gpt", "solution": "Look at the numbers in the 2002 column. Find the least number in this column.\n\nThe least number is 3, which is in the Poland row. Poland consumed the least chocolate per capita in 2002.", "answer": "Poland", "table": "**Chocolate consumption per capita (kg)**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 2002 | 2005 |\n| Switzerland | 11 | 10 |\n| Poland | 3 | 4 |\n| Australia | 4 | 5 |\n| Germany | 10 | 11 |\n| Norway | 8 | 9 |" } ] }, { "id": "33043", "image": "33043.png", "conversations": [ { "from": "human", "question": "A school administrator who was concerned about grade inflation looked over the number of straight-A students from year to year. According to the table, what was the rate of change between 2017 and 2018?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{48 students - 15 students}{2018 - 2017}\n = \\frac{48 students - 15 students}{1 year}\n = \\frac{33 students}{1 year}\n = 33 students per year\nThe rate of change between 2017 and 2018 was 33 students per year.", "answer": "33", "table": "**Straight-A students**\n\n| Year | Students |\n| --- | --- |\n| 2015 | 21 |\n| 2016 | 8 |\n| 2017 | 15 |\n| 2018 | 48 |\n| 2019 | 3 |" } ] }, { "id": "33047", "image": "33047.png", "conversations": [ { "from": "human", "question": "Each farm has 5 cows. How many cows are on 5 farms?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 25 cows on 5 farms.", "answer": "25", "table": "| Number of farms | Number of cows |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | 20 |\n| 5 | ? |" } ] }, { "id": "33048", "image": "33048.png", "conversations": [ { "from": "human", "question": "A pizza chef recalled how many pizzas he had made during the past 6 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n5, 0, 1, 6, 2, 6\n\nFirst, find the greatest number. The greatest number is 6.\n\nNext, find the least number. The least number is 0.\n\nSubtract the least number from the greatest number:\n\n6 − 0 = 6\n\nThe range is 6.", "answer": "6", "table": "**Pizzas made**\n\n| Day | Number of pizzas |\n| --- | --- |\n| Tuesday | 5 |\n| Wednesday | 0 |\n| Thursday | 1 |\n| Friday | 6 |\n| Saturday | 2 |\n| Sunday | 6 |" } ] }, { "id": "33051", "image": "33051.png", "conversations": [ { "from": "human", "question": "An economist tracked the amount of per-capita aid sent from the U.S. to various countries during the 1900s. In 1985, which country received less aid per capita, Nepal or Algeria?\n" }, { "from": "gpt", "solution": "Find the 1985 column. Compare the numbers in this column for Nepal and Algeria.\n\n$8.00 is less than $14.00. In 1985, Algeria received less aid per capita.", "answer": "Algeria", "table": "**Aid received per capita from the U.S.**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 1975 | 1985 |\n| Pakistan | $9 | $8 |\n| Nepal | $3 | $14 |\n| Algeria | $11 | $8 |" } ] }, { "id": "33066", "image": "33066.png", "conversations": [ { "from": "human", "question": "At a hot air balloon festival, Brett made note of how many passengers were in each balloon and the color of each balloon. What is the probability that a randomly selected hot air balloon contains 2 passengers and is blue? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the hot air balloon contains 2 passengers\" and B be the event \"the hot air balloon is blue\".\nTo find the probability that a hot air balloon contains 2 passengers and is blue, first identify the sample space and the event.\nThe outcomes in the sample space are the different hot air balloons. Each hot air balloon is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the hot air balloon contains 2 passengers and is blue\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the hot air balloon contains 2 passengers and is blue\", so look at the table to see how many hot air balloons contain 2 passengers and are blue.\nThe number of hot air balloons that contain 2 passengers and are blue is 7.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of hot air balloons.\n2 + 7 + 5 + 4 = 18\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{7}{18}\nThe probability that a hot air balloon contains 2 passengers and is blue is \\frac{7}{18}.", "answer": "7/18", "table": "| | Blue | Yellow |\n| --- | --- | --- |\n| 1 passenger | 2 | 5 |\n| 2 passengers | 7 | 4 |" } ] }, { "id": "33068", "image": "33068.png", "conversations": [ { "from": "human", "question": "Sadie's P.E. class participated in a push-up competition, and Sadie wrote down how many push-ups each person could do. What is the smallest number of push-ups done?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 4.\n\nNow find the lowest leaf in the first row. The lowest leaf is 0.\n\nThe smallest number of push-ups done has a stem of 4 and a leaf of 0. Write the stem first, then the leaf: 40.\n\nThe smallest number of push-ups done is 40 push-ups.", "answer": "40", "table": "**Push-up competition (number of push-ups)**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 0, 1, 3, 8, 9 |\n| 5 | 4, 5, 6, 7, 9 |\n| 6 | 1, 3 |\n| 7 | 9 |\n| 8 | 0, 0, 1, 2, 7, 7 |" } ] }, { "id": "33072", "image": "33072.png", "conversations": [ { "from": "human", "question": "While working as a summer camp counselor, Kiera monitored how many candy necklaces each child made. How many children did not make any candy necklaces?\n" }, { "from": "gpt", "solution": "Find the row for 0 candy necklaces and read the frequency. The frequency is 9.\n\n9 children did not make any candy necklaces.", "answer": "9", "table": "**Making candy necklaces**\n\n| Candy necklaces made | Frequency |\n| --- | --- |\n| 0 | 9 |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 14 |" } ] }, { "id": "33078", "image": "33078.png", "conversations": [ { "from": "human", "question": "How much more does a crane cost than a hydrofoil?\n" }, { "from": "gpt", "solution": "Subtract the price of a hydrofoil from the price of a crane.\n\n$8,867.00 - $8,345.00 = $522.00\n\nA crane costs $522.00 more than a hydrofoil.", "answer": "522", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| bulldozer | $7,552.00 |\n| crane | $8,867.00 |\n| race car | $8,769.00 |\n| hydrofoil | $8,345.00 |" } ] }, { "id": "33081", "image": "33081.png", "conversations": [ { "from": "human", "question": "How much money does Joey need to buy 5 Palomino horses?\n" }, { "from": "gpt", "solution": "Find the total cost of 5 Palomino horses by multiplying 5 times the price of a Palomino horse.\n\n$1,530 × 5 = $7,650\n\nJoey needs $7,650.", "answer": "7,650", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| Quarter horse | $6,151 |\n| Thoroughbred horse | $1,067 |\n| Palomino horse | $1,530 |\n| Clydesdale horse | $5,207 |\n| Hanoverian horse | $6,119 |" } ] }, { "id": "33089", "image": "33089.png", "conversations": [ { "from": "human", "question": "Kathleen has $4.50. Does she have enough to buy a cat key chain and a frog key chain?\n" }, { "from": "gpt", "solution": "Add the price of a cat key chain and the price of a frog key chain:\n\n$2.14 + $2.43 = $4.57\n\n$4.57 is more than $4.50. Kathleen does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| alligator key chain | $1.11 |\n| frog key chain | $2.43 |\n| baseball bat key chain | $2.80 |\n| cat key chain | $2.14 |\n| rainbow key chain | $1.62 |\n| horse key chain | $2.05 |" } ] }, { "id": "33095", "image": "33095.png", "conversations": [ { "from": "human", "question": "A bookstore employee looked up how many books were sold each month. In which month did the bookstore sell the fewest books?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 328.\n\nNow find the corresponding month. January corresponds to 328.", "answer": "January", "table": "**Number of books sold**\n\n| Month | Number of books |\n| --- | --- |\n| October | 382 |\n| November | 332 |\n| December | 383 |\n| January | 328 |" } ] }, { "id": "33096", "image": "33096.png", "conversations": [ { "from": "human", "question": "Simon wrote down how many minutes of TV he watched over the past 4 days. On which day did Simon watch the least TV?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 71.\n\nNow find the corresponding day. Saturday corresponds to 71.", "answer": "Saturday", "table": "**Minutes of TV watched**\n\n| Day | Minutes |\n| --- | --- |\n| Saturday | 71 |\n| Sunday | 74 |\n| Monday | 72 |\n| Tuesday | 78 |" } ] }, { "id": "33108", "image": "33108.png", "conversations": [ { "from": "human", "question": "Kendrick, a candy store employee, placed peppermint candies into jars of various sizes. How many jars had fewer than 68 peppermint candies?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1, 2, 3, 4, and 5.\n\nIn the row with stem 6, count all the leaves less than 8.\n\nYou counted 7 leaves, which are blue in the stem-and-leaf plots above. 7 jars had fewer than 68 peppermint candies.", "answer": "7", "table": "**Peppermint candies per jar**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1 |\n| 2 | 7, 8 |\n| 3 | 3, 3 |\n| 4 | |\n| 5 | 0, 8 |\n| 6 | 8, 9 |\n| 7 | 6 |\n| 8 | 4, 5 |\n| 9 | 0 |" } ] }, { "id": "33116", "image": "33116.png", "conversations": [ { "from": "human", "question": "Nick has $0.11. How much money will Nick have left if he buys a piece of gum and a piece of licorice?\n" }, { "from": "gpt", "solution": "Find the total cost of a piece of gum and a piece of licorice.\n\n$0.03 + $0.04 = $0.07\n\nNow subtract the total cost from the starting amount.\n\n$0.11 - $0.07 = $0.04\n\nNick will have $0.04 left.", "answer": "0.04", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| piece of licorice | $0.04 |\n| piece of gum | $0.03 |\n| gum drop | $0.07 |\n| cinnamon candy | $0.01 |\n| sour apple candy | $0.08 |" } ] }, { "id": "33119", "image": "33119.png", "conversations": [ { "from": "human", "question": "A grocery store tracked how many bananas it sold each day. On which day did the grocery store sell the fewest bananas?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 725.\n\nNow find the corresponding day. Sunday corresponds to 725.", "answer": "Sunday", "table": "**Bananas sold**\n\n| Day | Number of bananas |\n| --- | --- |\n| Saturday | 727 |\n| Sunday | 725 |\n| Monday | 752 |\n| Tuesday | 771 |" } ] }, { "id": "33130", "image": "33130.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{15 - 10}{15 - 14}\n = \\frac{5}{1}\n = 5\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{20 - 15}{16 - 15}\n = \\frac{5}{1}\n = 5\nThe two rates of change are the same.\nIf you checked the rate of change between rows 1 and 3, you would find that it is also 5.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 14 | 10 |\n| 15 | 15 |\n| 16 | 20 |" } ] }, { "id": "33131", "image": "33131.png", "conversations": [ { "from": "human", "question": "Jeanette just returned from a spring break volunteer trip. She is shopping for a photo album that will showcase her photos from the trip. The albums range in photo capacity and orientation. What is the probability that a randomly selected photo album is oriented vertically and holds exactly 100 photos? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the photo album is oriented vertically\" and B be the event \"the photo album holds exactly100 photos\".\nTo find the probability that a photo album is oriented vertically and holds exactly100 photos, first identify the sample space and the event.\nThe outcomes in the sample space are the different photo albums. Each photo album is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the photo album is oriented vertically and holds exactly100 photos\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the photo album is oriented vertically and holds exactly100 photos\", so look at the table to see how many photo albums are oriented vertically and hold exactly100 photos.\nThe number of photo albums that are oriented vertically and hold exactly100 photos is 3.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of photo albums.\n2 + 4 + 4 + 3 = 13\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{3}{13}\nThe probability that a photo album is oriented vertically and holds exactly100 photos is \\frac{3}{13}.", "answer": "3/13", "table": "| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| | 50 photos | 100 photos |\n| Horizontally | 2 | 4 |\n| Vertically | 4 | 3 |" } ] }, { "id": "33137", "image": "33137.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Arianna just missed the 1.30 P.M. train at Ridge Street. How long does she have to wait until the next train?\n" }, { "from": "gpt", "solution": "Find 1:30 P. M. in the row for Ridge Street.\n\nLook for the next train in that row.\n\nThe next train is at 2:00 P. M.\n\nFind the elapsed time. The elapsed time is 30 minutes.", "answer": "30 minutes", "table": "**Subway train schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 | Column 5 | Column 6 |\n| --- | --- | --- | --- | --- | --- |\n| Franklin Road | 9:30 A.M. | 9:45 A.M. | 10:15 A.M. | 10:45 A.M. | 11:00 A.M. |\n| Center Avenue | 9:45 A.M. | 10:00 A.M. | 10:30 A.M. | 11:00 A.M. | 11:15 A.M. |\n| North Road | 10:45 A.M. | 11:00 A.M. | 11:30 A.M. | 12:00 P.M. | 12:15 P.M. |\n| Woodland Street | 11:15 A.M. | 11:30 A.M. | 12:00 P.M. | 12:30 P.M. | 12:45 P.M. |\n| Oak Road | 12:00 P.M. | 12:15 P.M. | 12:45 P.M. | 1:15 P.M. | 1:30 P.M. |\n| Ridge Street | 12:45 P.M. | 1:00 P.M. | 1:30 P.M. | 2:00 P.M. | 2:15 P.M. |\n| Jackson Boulevard | 1:00 P.M. | 1:15 P.M. | 1:45 P.M. | 2:15 P.M. | 2:30 P.M. |" } ] }, { "id": "33143", "image": "33143.png", "conversations": [ { "from": "human", "question": "How much money does Clara need to buy a bottle of water and a grilled cheese sandwich?\n" }, { "from": "gpt", "solution": "Add the price of a bottle of water and the price of a grilled cheese sandwich:\n\n$1.29 + $3.04 = $4.33\n\nClara needs $4.33.", "answer": "4.33", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| bag of peanuts | $1.16 |\n| brownie | $1.18 |\n| cup of coffee | $1.37 |\n| bottle of water | $1.29 |\n| grilled cheese sandwich | $3.04 |\n| bowl of fruit salad | $2.17 |" } ] }, { "id": "33154", "image": "33154.png", "conversations": [ { "from": "human", "question": "How much more does a slice of cherry pie cost than a chocolate-chip cookie?\n" }, { "from": "gpt", "solution": "Subtract the price of a chocolate-chip cookie from the price of a slice of cherry pie.\n\n$3.67 - $1.66 = $2.01\n\nA slice of cherry pie costs $2.01 more than a chocolate-chip cookie.", "answer": "2.01", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| chocolate-chip cookie | $1.66 |\n| blueberry muffin | $1.31 |\n| slice of cherry pie | $3.67 |\n| cupcake | $1.35 |\n| ice cream cone | $2.38 |" } ] }, { "id": "33157", "image": "33157.png", "conversations": [ { "from": "human", "question": "Mr. Mills, a track coach, recorded the sizes of all the nearby track teams. How many teams have exactly 87 members?\n" }, { "from": "gpt", "solution": "For the number 87, the stem is 8, and the leaf is 7. Find the row where the stem is 8. In that row, count all the leaves equal to 7.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 teams have exactly 87 members.", "answer": "2", "table": "**Track team sizes (number of members)**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 4, 8, 9, 9 |\n| 4 | 2, 3, 6, 7, 9 |\n| 5 | 0, 5, 6, 8 |\n| 6 | 1, 5, 9 |\n| 7 | 2 |\n| 8 | 0, 2, 5, 7, 7, 8, 9 |" } ] }, { "id": "33166", "image": "33166.png", "conversations": [ { "from": "human", "question": "A drawing class was assigned a final project where students had to choose one art medium and one subject. The teacher kept track of the types of projects submitted. What is the probability that a randomly selected student chose to draw an insect and used chalk? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the student chose to draw an insect\" and B be the event \"the student used chalk\".\nTo find the probability that a student chose to draw an insect and used chalk, first identify the sample space and the event.\nThe outcomes in the sample space are the different students. Each student is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the student chose to draw an insect and used chalk\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the student chose to draw an insect and used chalk\", so look at the table to see how many students chose to draw an insect and used chalk.\nThe number of students who chose to draw an insect and used chalk is 2.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of students.\n3 + 2 + 4 + 2 = 11\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{2}{11}\nThe probability that a student chose to draw an insect and used chalk is \\frac{2}{11}.", "answer": "2/11", "table": "| | Acrylic paint | Chalk |\n| --- | --- | --- |\n| A plant | 3 | 4 |\n| An insect | 2 | 2 |" } ] }, { "id": "33172", "image": "33172.png", "conversations": [ { "from": "human", "question": "The Brookfield Chamber of Commerce researched the number of employees working at local companies. How many companies have at least 23 employees but less than 70 employees?\n" }, { "from": "gpt", "solution": "Find the row with stem 2. Count all the leaves greater than or equal to 3.\n\nCount all the leaves in the rows with stems 3, 4, 5, and 6.\n\nYou counted 10 leaves, which are blue in the stem-and-leaf plots above. 10 companies have at least 23 employees but less than 70 employees.", "answer": "10", "table": "**Company sizes (number of employees)**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 2, 9 |\n| 3 | 0, 3 |\n| 4 | |\n| 5 | 0, 1, 9 |\n| 6 | 4, 4, 6, 9 |" } ] }, { "id": "33173", "image": "33173.png", "conversations": [ { "from": "human", "question": "Richard looked over his calendar to see how many times he had soccer practice each month. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 4, 8, 9, 4\n\nFirst, find the greatest number. The greatest number is 9.\n\nNext, find the least number. The least number is 4.\n\nSubtract the least number from the greatest number:\n\n9 − 4 = 5\n\nThe range is 5.", "answer": "5", "table": "**Soccer practice**\n\n| Month | Number of practices |\n| --- | --- |\n| May | 6 |\n| June | 4 |\n| July | 8 |\n| August | 9 |\n| September | 4 |" } ] }, { "id": "33180", "image": "33180.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{8 - 14}{8 - 7}\n = \\frac{-6}{1}\n = -6\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{2 - 8}{9 - 8}\n = \\frac{-6}{1}\n = -6\nThe two rates of change are the same.\n6.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 7 | 14 |\n| 8 | 8 |\n| 9 | 2 |" } ] }, { "id": "33186", "image": "33186.png", "conversations": [ { "from": "human", "question": "Zach just downloaded the new game Gem Excavator on his phone. In the first level, Zach gains points for each green gem he finds. However, he loses points for each red gem he finds. The table shows how the gems affect Zach's points. Which color gem affects Zach's points less?\n" }, { "from": "gpt", "solution": "To find the gem that affects Zach's points less, use absolute value. Absolute value tells you how much Zach's points change for each color gem.\nGreen: |25| = 25\nRed: |-40| = 40\nZach gains 25 points for each green gem he finds, and he loses 40 points for each red gem he finds. So, the green gems affect Zach's points less.", "answer": "green", "table": "| Gem color | Change in points |\n| --- | --- |\n| Green | 25 |\n| Red | -40 |" } ] }, { "id": "33190", "image": "33190.png", "conversations": [ { "from": "human", "question": "The houses in Myra's town get their water from a local reservoir. Myra and a group of engineers monitor the water level for safety and health reasons. The change in water level over two months is shown in the table. During which month did the water level change more?\n" }, { "from": "gpt", "solution": "A positive change means the water level went up. A negative change means the water level went down.\nTo find the month the water level changed more, use absolute value. Absolute value tells you how much the water level changed each month.\nApril: |-6| = 6\nMay: |4| = 4\nThe water level went down 6 inches in April, and it only went up 4 inches in May. The water level changed more in April.", "answer": "April", "table": "| Month | Change in water level (in.) |\n| --- | --- |\n| April | -6 |\n| May | 4 |" } ] }, { "id": "33199", "image": "33199.png", "conversations": [ { "from": "human", "question": "How much money does Regan need to buy a pair of jeans and a pair of shorts?\n" }, { "from": "gpt", "solution": "Add the price of a pair of jeans and the price of a pair of shorts:\n\n$13 + $23 = $36\n\nRegan needs $36.", "answer": "36", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pair of jeans | $13 |\n| green dress | $19 |\n| yellow dress | $50 |\n| pair of shorts | $23 |\n| pair of shoes | $16 |\n| pair of sandals | $17 |" } ] }, { "id": "33200", "image": "33200.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{10 - 1}{14 - 13}\n = \\frac{9}{1}\n = 9\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{19 - 1}{15 - 13}\n = \\frac{18}{2}\n = 9\nThe two rates of change are the same.\nIf you checked the rate of change between rows 2 and 3, you would find that it is also 9.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 13 | 1 |\n| 14 | 10 |\n| 15 | 19 |" } ] }, { "id": "33201", "image": "33201.png", "conversations": [ { "from": "human", "question": "Kinsley bought 4+1/2 pounds of bleached white flour. How much did she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the bleached white flour. Multiply the price per pound by the number of pounds.\n$2 × 4\\frac{1}{2} = $2 × 4.5 = $9\nShe spent $9.", "answer": "9", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| bleached white flour | $2 per lb |\n| whole wheat flour | $2 per lb |\n| peanut flour | $3 per lb |\n| unbleached white flour | $4 per lb |\n| soy flour | $4 per lb |" } ] }, { "id": "33217", "image": "33217.png", "conversations": [ { "from": "human", "question": "A coffee shop monitored the number of cups of coffee sold each day. On which day did the shop sell the fewest cups?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 339.\n\nNow find the corresponding day. Wednesday corresponds to 339.", "answer": "Wednesday", "table": "**Cups of coffee sold**\n\n| Day | Number of cups |\n| --- | --- |\n| Tuesday | 389 |\n| Wednesday | 339 |\n| Thursday | 383 |\n| Friday | 398 |" } ] }, { "id": "33220", "image": "33220.png", "conversations": [ { "from": "human", "question": "Each toy bin has 5 green blocks. How many green blocks are in 5 toy bins?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 25 green blocks in 5 toy bins.", "answer": "25", "table": "| Number of toy bins | Number of green blocks |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | 20 |\n| 5 | ? |" } ] }, { "id": "33221", "image": "33221.png", "conversations": [ { "from": "human", "question": "Some pizza restaurants compared their pizza sales. Which restaurant sold the most pizza slices?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 996.\n\nNow find the corresponding restaurant. Antonio's Pizzeria corresponds to 996.", "answer": "Antonio's Pizzeria", "table": "**Pizza slices sold**\n\n| Restaurant | Number of slices sold |\n| --- | --- |\n| Antonio's Pizzeria | 996 |\n| Pizza Italia | 969 |\n| Mario's Pizzeria | 976 |\n| Taste of New York | 979 |" } ] }, { "id": "33223", "image": "33223.png", "conversations": [ { "from": "human", "question": "Some students compared how many clubs they belong to. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n2, 5, 6, 1, 6\n\nFirst, arrange the numbers from least to greatest:\n\n1, 2, 5, 6, 6\n\nNow find the number in the middle.\n\n1, 2, 5, 6, 6\n\nThe number in the middle is 5.\n\nThe median is 5.", "answer": "5", "table": "**Clubs**\n\n| Name | Number of clubs |\n| --- | --- |\n| Chase | 2 |\n| Alice | 5 |\n| Porter | 6 |\n| Josh | 1 |\n| Sadie | 6 |" } ] }, { "id": "33225", "image": "33225.png", "conversations": [ { "from": "human", "question": "Ms. Bullock reported her students' scores on the most recent quiz. How many students scored at least 10 points but fewer than 50 points?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1, 2, 3, and 4.\n\nYou counted 20 leaves, which are blue in the stem-and-leaf plot above. 20 students scored at least 10 points but fewer than 50 points.", "answer": "20", "table": "**Quiz scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 0, 6, 6, 7, 9, 9 |\n| 2 | 5, 5 |\n| 3 | 0, 0, 1, 2, 3 |\n| 4 | 1, 1, 1, 1, 8, 9 |" } ] }, { "id": "33243", "image": "33243.png", "conversations": [ { "from": "human", "question": "For a study on numerical psychology, people were polled about which number between 1 and 5 they like most, and why. Which number was said the most times?\n" }, { "from": "gpt", "solution": "Look at the frequency column. Find the greatest frequency. The greatest frequency is 6, which is in the row for 3. 3 was said the most times.", "answer": "3", "table": "**People's favorite numbers between 1 and 5**\n\n| Favorite number | Frequency |\n| --- | --- |\n| 1 | 3 |\n| 2 | 4 |\n| 3 | 6 |\n| 4 | 0 |\n| 5 | 2 |" } ] }, { "id": "33246", "image": "33246.png", "conversations": [ { "from": "human", "question": "What is the total cost for 1 pound of denim scraps, 3 pounds of felt scraps, and 2 pounds of faux fur scraps?\n" }, { "from": "gpt", "solution": "Find the cost of the denim scraps. Multiply:\n\n$10.91 × 1 = $10.91\n\nFind the cost of the felt scraps. Multiply:\n\n$6.71 × 3 = $20.13\n\nFind the cost of the faux fur scraps. Multiply:\n\n$6.01 × 2 = $12.02\n\nNow find the total cost by adding:\n\n$10.91 + $20.13 + $12.02 = $43.06\n\nThe total cost is $43.06.", "answer": "43.06", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| denim scraps | $10.91 per pound |\n| felt scraps | $6.71 per pound |\n| faux fur scraps | $6.01 per pound |\n| lace scraps | $8.81 per pound |" } ] }, { "id": "33248", "image": "33248.png", "conversations": [ { "from": "human", "question": "Each pile has 5 T-shirts. How many T-shirts are in 6 piles?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 30 T-shirts in 6 piles.", "answer": "30", "table": "| Number of piles | Number of T-shirts |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | 20 |\n| 5 | 25 |\n| 6 | ? |" } ] }, { "id": "33250", "image": "33250.png", "conversations": [ { "from": "human", "question": "Ronald has $1.50. Does he have enough to buy a bag of pretzels and a piece of cornbread?\n" }, { "from": "gpt", "solution": "Add the price of a bag of pretzels and the price of a piece of cornbread:\n\n$0.53 + $0.86 = $1.39\n\n$1.39 is less than $1.50. Ronald does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| bag of pretzels | $0.53 |\n| piece of cornbread | $0.86 |\n| brownie | $0.62 |\n| cup of milk | $0.80 |\n| cup of coffee | $0.97 |\n| bottle of water | $0.80 |" } ] }, { "id": "33258", "image": "33258.png", "conversations": [ { "from": "human", "question": "Omar, an employee at Hatfield's Convenience Store, looked at the sales of each of its soda products. On Sunday, how much more did the convenience store make from Sweet Sips sales than from Olde Tyme Cola sales?\n" }, { "from": "gpt", "solution": "Find the Sunday column. Find the numbers in this column for Sweet Sips and Olde Tyme Cola.\n\nSweet Sips: $17.00\nOlde Tyme Cola: $3.00\n\nNow subtract:\n\n$17.00 − $3.00 = $14.00\n\nOn Sunday, the convenience store made $14 more from Sweet Sips sales than from Olde Tyme Cola sales.", "answer": "14", "table": "**Convenience store beverage sales**\n\n| Beverage | Saturday | Sunday |\n| --- | --- | --- |\n| Nature's Nectar | $2 | $20 |\n| Natural Goodness Juice | $12 | $16 |\n| Sweet Sips | $20 | $17 |\n| Olde Tyme Cola | $8 | $3 |" } ] }, { "id": "33263", "image": "33263.png", "conversations": [ { "from": "human", "question": "Shivani has $13,322.00. Does she have enough to buy a designer ball gown and a pair of designer shoes?\n" }, { "from": "gpt", "solution": "Add the price of a designer ball gown and the price of a pair of designer shoes:\n\n$8,930.00 + $4,400.00 = $13,330.00\n\n$13,330.00 is more than $13,322.00. Shivani does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pair of designer shoes | $4,400.00 |\n| designer watch | $2,747.00 |\n| pair of designer boots | $3,677.00 |\n| designer handbag | $5,691.00 |\n| designer ball gown | $8,930.00 |" } ] }, { "id": "33266", "image": "33266.png", "conversations": [ { "from": "human", "question": "A waitress kept track of how many hours she worked each day. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 6, 9, 9, 6\n\nFirst, arrange the numbers from least to greatest:\n\n6, 6, 9, 9, 9\n\nNow count how many times each number appears.\n\n6 appears 2 times.\n9 appears 3 times.\n\nThe number that appears most often is 9.\n\nThe mode is 9.", "answer": "9", "table": "**Hours worked**\n\n| Day | Hours |\n| --- | --- |\n| Friday | 9 |\n| Saturday | 6 |\n| Sunday | 9 |\n| Monday | 9 |\n| Tuesday | 6 |" } ] }, { "id": "33275", "image": "33275.png", "conversations": [ { "from": "human", "question": "How much more does a can of peaches cost than a can of soup?\n" }, { "from": "gpt", "solution": "Subtract the price of a can of soup from the price of a can of peaches.\n\n$0.97 - $0.73 = $0.24\n\nA can of peaches costs $0.24 more than a can of soup.", "answer": "0.24", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| can of soup | $0.73 |\n| can of corn | $0.59 |\n| jar of applesauce | $0.73 |\n| can of cranberry sauce | $0.82 |\n| can of peaches | $0.97 |\n| can of pears | $0.73 |" } ] }, { "id": "33276", "image": "33276.png", "conversations": [ { "from": "human", "question": "How much more does a wrench cost than a padlock?\n" }, { "from": "gpt", "solution": "Subtract the price of a padlock from the price of a wrench.\n\n$4.00 - $3.00 = $1.00\n\nA wrench costs $1.00 more than a padlock.", "answer": "1", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| mop | $4.00 |\n| padlock | $3.00 |\n| measuring tape | $6.00 |\n| bucket | $4.00 |\n| wrench | $4.00 |\n| broom | $9.00 |" } ] }, { "id": "33278", "image": "33278.png", "conversations": [ { "from": "human", "question": "How much money does Kurt need to buy a bouncy ball and a noisemaker?\n" }, { "from": "gpt", "solution": "Add the price of a bouncy ball and the price of a noisemaker:\n\n$0.39 + $0.61 = $1.00\n\nKurt needs $1.00.", "answer": "1", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| package of confetti | $0.73 |\n| bouncy ball | $0.39 |\n| fancy ribbon | $0.45 |\n| package of purple streamers | $0.86 |\n| noisemaker | $0.61 |\n| party hat | $0.60 |" } ] }, { "id": "33288", "image": "33288.png", "conversations": [ { "from": "human", "question": "The county released data about how many schools there are in each town. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n2, 7, 6, 3, 1, 2, 7\n\nFirst, arrange the numbers from least to greatest:\n\n1, 2, 2, 3, 6, 7, 7\n\nNow find the number in the middle.\n\n1, 2, 2, 3, 6, 7, 7\n\nThe number in the middle is 3.\n\nThe median is 3.", "answer": "3", "table": "**Schools in each town**\n\n| Town | Number of schools |\n| --- | --- |\n| Ashland | 2 |\n| Columbia | 7 |\n| Watertown | 6 |\n| Springfield | 3 |\n| Greenwood | 1 |\n| Richmond | 2 |\n| Marion | 7 |" } ] }, { "id": "33302", "image": "33302.png", "conversations": [ { "from": "human", "question": "For a social studies project, Irma counted the number of classrooms in each school in the city. How many schools have fewer than 78 classrooms?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 3, 4, 5, and 6.\n\nIn the row with stem 7, count all the leaves less than 8.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plots above. 4 schools have fewer than 78 classrooms.", "answer": "4", "table": "**Classrooms per school**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 1, 7 |\n| 4 | 7 |\n| 5 | |\n| 6 | |\n| 7 | 5 |\n| 8 | 7 |\n| 9 | 0 |" } ] }, { "id": "33303", "image": "33303.png", "conversations": [ { "from": "human", "question": "Erik kept a log of how many pages he read each month. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n58, 60, 57, 57, 57, 50, 51, 74\n\nFirst, count how many numbers are in the group.\n\nThere are 8 numbers.\n\nNow add all the numbers together:\n\n58 + 60 + 57 + 57 + 57 + 50 + 51 + 74 = 464\n\nNow divide the sum by the number of numbers:\n\n464 ÷ 8 = 58\n\nThe mean is 58.", "answer": "58", "table": "**Pages read**\n\n| Month | Number of pages |\n| --- | --- |\n| May | 58 |\n| June | 60 |\n| July | 57 |\n| August | 57 |\n| September | 57 |\n| October | 50 |\n| November | 51 |\n| December | 74 |" } ] }, { "id": "33305", "image": "33305.png", "conversations": [ { "from": "human", "question": "Norma has $1,372.00. Does she have enough to buy an antique rosewood corner cabinet and an antique cherry bookcase?\n" }, { "from": "gpt", "solution": "Add the price of an antique rosewood corner cabinet and the price of an antique cherry bookcase:\n\n$743.00 + $703.00 = $1,446.00\n\n$1,446.00 is more than $1,372.00. Norma does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| antique marbletop vanity | $646.00 |\n| antique cherry bookcase | $703.00 |\n| antique cedar cabinet | $803.00 |\n| antique rosewood corner cabinet | $743.00 |" } ] }, { "id": "33308", "image": "33308.png", "conversations": [ { "from": "human", "question": "This is Kira's complete financial record for April. How much money did Kira spend on a bag of jellybeans?\n" }, { "from": "gpt", "solution": "Look at the bag of jellybeans row. The expenses were $4.15. So, Kira spent $4.15 on a bag of jellybeans.\n", "answer": "4.15", "table": "| Date | Description | Received | Expenses | Available Funds |\n| --- | --- | --- | --- | --- |\n| | Balance: end of March | | | $461.80 |\n| 4/7 | bag of jellybeans | | $4.15 | $457.65 |\n| 4/14 | helping Mr. Gilbert | $20.00 | | $477.65 |\n| 4/23 | umbrella | | $12.65 | $465.00 |" } ] }, { "id": "33309", "image": "33309.png", "conversations": [ { "from": "human", "question": "An economist tracked the amount of per-capita aid sent from the U.S. to various countries during the 1900s. Per capita, how much more aid did Nepal receive in 1985 than in 1975?\n" }, { "from": "gpt", "solution": "Find the Nepal row. Find the numbers in this row for 1985 and 1975.\n\n1985: $14.00\n1975: $3.00\n\nNow subtract:\n\n$14.00 − $3.00 = $11.00\n\nPer capita, Nepal received $11 more in aid in 1985 than in 1975.", "answer": "11", "table": "**Aid received per capita from the U.S.**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 1975 | 1985 |\n| Libya | $2 | $1 |\n| Nepal | $3 | $14 |\n| Algeria | $11 | $8 |\n| Afghanistan | $5 | $1 |" } ] }, { "id": "33310", "image": "33310.png", "conversations": [ { "from": "human", "question": "How much money does Malia need to buy 7 ice cream cones?\n" }, { "from": "gpt", "solution": "Find the total cost of 7 ice cream cones by multiplying 7 times the price of an ice cream cone.\n\n$0.96 × 7 = $6.72\n\nMalia needs $6.72.", "answer": "6.72", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| bagel | $0.50 |\n| bag of pretzels | $0.71 |\n| ice cream cone | $0.96 |\n| bag of potato chips | $0.99 |" } ] }, { "id": "33317", "image": "33317.png", "conversations": [ { "from": "human", "question": "Mrs. Zimmerman hosts an annual art contest for kids, and she keeps a record of the number of entries each year. According to the table, what was the rate of change between 2013 and 2014?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{46 entries - 39 entries}{2014 - 2013}\n = \\frac{46 entries - 39 entries}{1 year}\n = \\frac{7 entries}{1 year}\n = 7 entries per year\nThe rate of change between 2013 and 2014 was 7 entries per year.", "answer": "7", "table": "**Art contest entries**\n\n| Year | Number of entries |\n| --- | --- |\n| 2010 | 42 |\n| 2011 | 43 |\n| 2012 | 43 |\n| 2013 | 39 |\n| 2014 | 46 |" } ] }, { "id": "33323", "image": "33323.png", "conversations": [ { "from": "human", "question": "Cody looked at his calendar to figure out how much time he spent babysitting each month. In which month did Cody babysit the most?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 28.\n\nNow find the corresponding month. June corresponds to 28.", "answer": "June", "table": "**Hours of babysitting**\n\n| Month | Hours |\n| --- | --- |\n| March | 23 |\n| April | 21 |\n| May | 24 |\n| June | 28 |" } ] }, { "id": "33326", "image": "33326.png", "conversations": [ { "from": "human", "question": "Sixth graders at Newport Middle School are taught in classes of various sizes. Whose class has the fewest girls?\n" }, { "from": "gpt", "solution": "Look at the numbers in the Girls column. Find the least number in this column.\n\nThe least number is 4, which is in the Ms. North row. The fewest girls are in Ms. North's class.", "answer": "Ms. North", "table": "**Sixth grade classes**\n\n| Teacher | Girls | Boys |\n| --- | --- | --- |\n| Mrs. South | 6 | 20 |\n| Ms. North | 4 | 12 |\n| Mr. East | 20 | 7 |" } ] }, { "id": "33329", "image": "33329.png", "conversations": [ { "from": "human", "question": "What is the total cost for 1/5 of a kilogram of tiger's eye?\n" }, { "from": "gpt", "solution": "Find the cost of the tiger's eye. Multiply the price per kilogram by the number of kilograms.\n$6 × \\frac{1}{5} = $6 × 0.2 = $1.20\nThe total cost is $1.20.", "answer": "1.20", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| calcite | $7 per kilogram |\n| fool's gold | $5 per kilogram |\n| tiger's eye | $6 per kilogram |\n| quartz | $8 per kilogram |\n| topaz | $9 per kilogram |" } ] }, { "id": "33332", "image": "33332.png", "conversations": [ { "from": "human", "question": "Chad has $8,672. Does he have enough to buy an antique elm coffee table and an antique pine chest of drawers?\n" }, { "from": "gpt", "solution": "Add the price of an antique elm coffee table and the price of an antique pine chest of drawers:\n\n$2,920 + $5,603 = $8,523\n\n$8,523 is less than $8,672. Chad does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| antique marbletop vanity | $1,548 |\n| antique pine chest of drawers | $5,603 |\n| antique elm coffee table | $2,920 |\n| antique birchwood dining table | $4,268 |\n| antique hand-painted trunk | $6,950 |" } ] }, { "id": "33342", "image": "33342.png", "conversations": [ { "from": "human", "question": "An agricultural agency is researching how much cheese people have been eating in different parts of the world. How much more cheese did Germany consume per capita in 2006 than in 1996?\n" }, { "from": "gpt", "solution": "Find the Germany row. Find the numbers in this row for 2006 and 1996.\n\n2006: 20\n1996: 12\n\nNow subtract:\n\n20 − 12 = 8\n\nGermany consumed 8 kilograms more cheese per capita in 2006 than in 1996.", "answer": "8", "table": "**Cheese consumption per capita (kg)**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 1996 | 2006 |\n| Australia | 10 | 10 |\n| Argentina | 11 | 11 |\n| Germany | 12 | 20 |\n| Great Britain | 9 | 10 |\n| Austria | 10 | 17 |" } ] }, { "id": "33351", "image": "33351.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. How long does it take to get from the zoo to the playground?\n" }, { "from": "gpt", "solution": "Read the times in the first column for the zoo and the playground.\n\nFind the elapsed time between 9:45 A. M. and 11:30 A. M. The elapsed time is 1 hour and 45 minutes.\n\nNo matter which column of times you look at, the elapsed time is always 1 hour and 45 minutes.", "answer": "1 hour and 45 minutes", "table": "**Bus schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 | Column 5 |\n| --- | --- | --- | --- | --- |\n| the mall | 8:45 A.M. | 9:45 A.M. | 10:00 A.M. | 11:00 A.M. |\n| the grocery store | 9:30 A.M. | 10:30 A.M. | 10:45 A.M. | 11:45 A.M. |\n| the zoo | 9:45 A.M. | 10:45 A.M. | 11:00 A.M. | 12:00 P.M. |\n| the school | 10:45 A.M. | 11:45 A.M. | 12:00 P.M. | 1:00 P.M. |\n| the library | 11:00 A.M. | 12:00 P.M. | 12:15 P.M. | 1:15 P.M. |\n| the playground | 11:30 A.M. | 12:30 P.M. | 12:45 P.M. | 1:45 P.M. |\n| the post office | 12:15 P.M. | 1:15 P.M. | 1:30 P.M. | 2:30 P.M. |\n| the doctor's office | 1:15 P.M. | 2:15 P.M. | 2:30 P.M. | 3:30 P.M. |\n| the movie theater | 2:00 P.M. | 3:00 P.M. | 3:15 P.M. | 4:15 P.M. |" } ] }, { "id": "33356", "image": "33356.png", "conversations": [ { "from": "human", "question": "How much would it cost to buy 1 kilogram of tuna and 2 kilograms of catfish?\n" }, { "from": "gpt", "solution": "Find the cost of the tuna. Multiply:\n\n$3 × 1 = $3\n\nFind the cost of the catfish. Multiply:\n\n$3 × 2 = $6\n\nNow find the total cost by adding:\n\n$3 + $6 = $9\n\nIt would cost $9.", "answer": "9", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| catfish | $3 per kg |\n| halibut | $4 per kg |\n| tuna | $3 per kg |\n| tilapia | $2 per kg |\n| salmon | $3 per kg |" } ] }, { "id": "33376", "image": "33376.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does gymnastics end?\n" }, { "from": "gpt", "solution": "Find gymnastics on the schedule. Find the end time for gymnastics.\n\ngymnastics: 1:55 P. M.", "answer": "1:55 P.M.", "table": "**Gym schedule**\n\n| Activity | Begin | End |\n| --- | --- | --- |\n| dodgeball | 10:00 A.M. | 11:30 A.M. |\n| yoga | 11:45 A.M. | 12:30 P.M. |\n| gymnastics | 12:40 P.M. | 1:55 P.M. |\n| fitness class | 2:10 P.M. | 3:30 P.M. |\n| floor hockey | 3:45 P.M. | 4:50 P.M. |\n| badminton | 4:55 P.M. | 6:20 P.M. |\n| line dancing | 6:30 P.M. | 7:45 P.M. |" } ] }, { "id": "33377", "image": "33377.png", "conversations": [ { "from": "human", "question": "Kendra spent a week at the beach and recorded the number of shells she found each day. According to the table, what was the rate of change between Tuesday and Wednesday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{1 shell - 2 shells}{1 day}\n = \\frac{-1 shells}{1 day}\n = -1 shells per day\nThe rate of change between Tuesday and Wednesday was - 1 shells per day.", "answer": "-1", "table": "**Shells Kendra found**\n\n| Day | Number of shells |\n| --- | --- |\n| Sunday | 0 |\n| Monday | 1 |\n| Tuesday | 2 |\n| Wednesday | 1 |\n| Thursday | 1 |" } ] }, { "id": "33404", "image": "33404.png", "conversations": [ { "from": "human", "question": "Mr. Turner promised to bring his students ice cream on Friday. The students voted on their favorite flavor, and the votes were recorded in a frequency chart. Which flavor of ice cream received the greatest number of votes?\n" }, { "from": "gpt", "solution": "The greatest number in the frequency table is 12.\nSo, chocolate received the greatest number of votes.", "answer": "chocolate", "table": "**Favorite flavors of ice cream**\n\n| Flavor | Frequency |\n| --- | --- |\n| chocolate | 12 |\n| cookie dough | 10 |\n| strawberry | 8 |\n| vanilla | 9 |" } ] }, { "id": "33405", "image": "33405.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $1,020, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $1,020, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $380 | 20,700 | 1,900 |\n| $540 | 16,600 | 6,500 |\n| $700 | 12,500 | 11,100 |\n| $860 | 8,400 | 15,700 |\n| $1,020 | 4,300 | 20,300 |" } ] }, { "id": "33407", "image": "33407.png", "conversations": [ { "from": "human", "question": "How much money does William need to buy 7 train tickets to Miami and a train ticket to Los Angeles?\n" }, { "from": "gpt", "solution": "Find the cost of 7 train tickets to Miami.\n\n$168 × 7 = $1,176\n\nNow find the total cost.\n\n$1,176 + $606 = $1,782\n\nWilliam needs $1,782.", "answer": "1,782", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| train ticket to Boise | $395 |\n| train ticket to Seattle | $556 |\n| train ticket to Los Angeles | $606 |\n| train ticket to Miami | $168 |" } ] }, { "id": "33431", "image": "33431.png", "conversations": [ { "from": "human", "question": "How much money does Jordan need to buy 3 boat show tickets?\n" }, { "from": "gpt", "solution": "Find the total cost of 3 boat show tickets by multiplying 3 times the price of a boat show ticket.\n\n$26.56 × 3 = $79.68\n\nJordan needs $79.68.", "answer": "79.68", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| airplane show ticket | $29.68 |\n| car show ticket | $29.50 |\n| boat show ticket | $26.56 |\n| symphony ticket | $26.38 |\n| dance performance ticket | $41.24 |\n| opera ticket | $82.91 |" } ] }, { "id": "33435", "image": "33435.png", "conversations": [ { "from": "human", "question": "Lamar has $26,720.00. How much money will Lamar have left if he buys a green station wagon and a red sports car?\n" }, { "from": "gpt", "solution": "Find the total cost of a green station wagon and a red sports car.\n\n$9,657.00 + $8,528.00 = $18,185.00\n\nNow subtract the total cost from the starting amount.\n\n$26,720.00 - $18,185.00 = $8,535.00\n\nLamar will have $8,535.00 left.", "answer": "8,535", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| green station wagon | $9,657.00 |\n| red sports car | $8,528.00 |\n| red two-door coupe | $6,130.00 |\n| black convertible | $5,471.00 |" } ] }, { "id": "33439", "image": "33439.png", "conversations": [ { "from": "human", "question": "Eddie counted the number of words per page in his new book. How many pages have fewer than 40 words?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 0, 1, 2, and 3.\n\nYou counted 14 leaves, which are blue in the stem-and-leaf plot above. 14 pages have fewer than 40 words.", "answer": "14", "table": "**Words per page**\n\n| Stem | Leaf |\n| --- | --- |\n| 0 | 9 |\n| 1 | 1, 5, 5, 7, 8, 9 |\n| 2 | 0, 2, 4, 9 |\n| 3 | 1, 3, 9 |\n| 4 | 1 |\n| 5 | 2, 2, 7 |\n| 6 | 2 |\n| 7 | 9 |\n| 8 | 1, 6 |\n| 9 | 0 |" } ] }, { "id": "33451", "image": "33451.png", "conversations": [ { "from": "human", "question": "Jasper found a list of the number of roller coasters at each amusement park in the state. How many amusement parks have at least 10 roller coasters?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1, 2, 3, and 4.\n\nYou counted 14 leaves, which are blue in the stem-and-leaf plot above. 14 amusement parks have at least 10 roller coasters.", "answer": "14", "table": "**Roller coasters per amusement park**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 2, 4 |\n| 2 | 3, 5, 6, 9 |\n| 3 | 0, 6, 9, 9, 9 |\n| 4 | 0, 8, 9 |" } ] }, { "id": "33458", "image": "33458.png", "conversations": [ { "from": "human", "question": "The train conductor made sure to count the number of passengers on each train. How many trains had at least 40 passengers but fewer than 62 passengers?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 4 and 5.\n\nIn the row with stem 6, count all the leaves less than 2.\n\nYou counted 13 leaves, which are blue in the stem-and-leaf plots above. 13 trains had at least 40 passengers but fewer than 62 passengers.", "answer": "13", "table": "**Passengers per train**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 0, 1, 1, 2, 4, 5, 9, 9 |\n| 5 | 0, 6, 6, 7 |\n| 6 | 0, 4 |\n| 7 | 2, 5, 5, 7 |" } ] }, { "id": "33465", "image": "33465.png", "conversations": [ { "from": "human", "question": "The art club examined how many cookies each student baked for the bake sale. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n55, 44, 47, 51, 45\n\nFirst, find the greatest number. The greatest number is 55.\n\nNext, find the least number. The least number is 44.\n\nSubtract the least number from the greatest number:\n\n55 − 44 = 11\n\nThe range is 11.", "answer": "11", "table": "**Cookies baked**\n\n| Name | Number of cookies |\n| --- | --- |\n| Bernie | 55 |\n| Colette | 44 |\n| Richard | 47 |\n| Greg | 51 |\n| Lena | 45 |" } ] }, { "id": "33466", "image": "33466.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{17 - 13}{17 - 16}\n = \\frac{4}{1}\n = 4\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{18 - 17}{18 - 17}\n = \\frac{1}{1}\n = 1\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 16 | 13 |\n| 17 | 17 |\n| 18 | 18 |" } ] }, { "id": "33469", "image": "33469.png", "conversations": [ { "from": "human", "question": "How much money does Sue need to buy 3 green dresses and 2 yellow dresses?\n" }, { "from": "gpt", "solution": "Find the cost of 3 green dresses.\n\n$33.00 × 3 = $99.00\n\nFind the cost of 2 yellow dresses.\n\n$50.00 × 2 = $100.00\n\nNow find the total cost.\n\n$99.00 + $100.00 = $199.00\n\nSue needs $199.00.", "answer": "199", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| green dress | $33.00 |\n| winter jacket | $28.00 |\n| pair of sweat pants | $16.00 |\n| pair of tennis shoes | $10.00 |\n| pair of boots | $10.00 |\n| yellow dress | $50.00 |" } ] }, { "id": "33471", "image": "33471.png", "conversations": [ { "from": "human", "question": "Lucia kept track of the number of games her soccer team won each year. According to the table, what was the rate of change between 2010 and 2011?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{11 games - 8 games}{2011 - 2010}\n = \\frac{11 games - 8 games}{1 year}\n = \\frac{3 games}{1 year}\n = 3 games per year\nThe rate of change between 2010 and 2011 was 3 games per year.", "answer": "3", "table": "**Games won by Lucia's soccer team**\n\n| Year | Games won |\n| --- | --- |\n| 2010 | 8 |\n| 2011 | 11 |\n| 2012 | 0 |\n| 2013 | 10 |\n| 2014 | 14 |" } ] }, { "id": "33473", "image": "33473.png", "conversations": [ { "from": "human", "question": "Mia went on a camping trip and logged the number of miles she hiked each day. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 6, 9, 5, 8, 9, 9\n\nFirst, arrange the numbers from least to greatest:\n\n5, 6, 7, 8, 9, 9, 9\n\nNow find the number in the middle.\n\n5, 6, 7, 8, 9, 9, 9\n\nThe number in the middle is 8.\n\nThe median is 8.", "answer": "8", "table": "**Miles hiked**\n\n| Day | Number of miles |\n| --- | --- |\n| Sunday | 7 |\n| Monday | 6 |\n| Tuesday | 9 |\n| Wednesday | 5 |\n| Thursday | 8 |\n| Friday | 9 |\n| Saturday | 9 |" } ] }, { "id": "33475", "image": "33475.png", "conversations": [ { "from": "human", "question": "Look at this table. Is this relation a function?\n" }, { "from": "gpt", "solution": "Look at the x-values in the table.\n\nEach of the x-values is paired with only one y-value, so the relation is a function.", "answer": "yes", "table": "| x | y |\n| --- | --- |\n| 2 | 20 |\n| 4 | 9 |\n| 6 | 7 |" } ] }, { "id": "33476", "image": "33476.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Tommy got on the train at Hillsboro at 3.45 A.M. What time will he get to Stamford?\n" }, { "from": "gpt", "solution": "Find 3:45 A. M. in the row for Hillsboro. That column shows the schedule for the train that Tommy is on.\n\nLook down the column until you find the row for Stamford.\n\nTommy will get to Stamford at 5:00 A. M.", "answer": "5:00 A.M.", "table": "**Train schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 |\n| --- | --- | --- | --- |\n| Hillsboro | 3:45 A.M. | 6:15 A.M. | 8:30 A.M. |\n| Stamford | 5:00 A.M. | 7:30 A.M. | 9:45 A.M. |\n| Salem | 5:30 A.M. | 8:00 A.M. | 10:15 A.M. |\n| Springfield | 7:00 A.M. | 9:30 A.M. | 11:45 A.M. |\n| Centerville | 8:30 A.M. | 11:00 A.M. | 1:15 P.M. |" } ] }, { "id": "33478", "image": "33478.png", "conversations": [ { "from": "human", "question": "How much more does a mop cost than a lawn sprinkler?\n" }, { "from": "gpt", "solution": "Subtract the price of a lawn sprinkler from the price of a mop.\n\n$18.00 - $15.00 = $3.00\n\nA mop costs $3.00 more than a lawn sprinkler.", "answer": "3", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| mop | $18.00 |\n| rake | $23.00 |\n| garden hose | $16.00 |\n| lawn sprinkler | $15.00 |\n| ladder | $31.00 |" } ] }, { "id": "33483", "image": "33483.png", "conversations": [ { "from": "human", "question": "Baldwin counted the boxes of cereal in a grocery store with different sizes and numbers of prizes. What is the probability that a randomly selected box of cereal is regular size and contains one prize? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the box of cereal is regular size\" and B be the event \"the box of cereal contains one prize\".\nTo find the probability that a box of cereal is regular size and contains one prize, first identify the sample space and the event.\nThe outcomes in the sample space are the different boxes of cereal. Each box of cereal is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the box of cereal is regular size and contains one prize\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the box of cereal is regular size and contains one prize\", so look at the table to see how many boxes of cereal are regular size and contain one prize.\nThe number of boxes of cereal that are regular size and contain one prize is 4.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of boxes of cereal.\n1 + 4 + 3 + 2 = 10\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{4}{10}\n = \\frac{2}{5}\nThe probability that a box of cereal is regular size and contains one prize is \\frac{2}{5}.", "answer": "2/5", "table": "| | One prize | Two prizes |\n| --- | --- | --- |\n| Mini size | 1 | 3 |\n| Regular size | 4 | 2 |" } ] }, { "id": "33487", "image": "33487.png", "conversations": [ { "from": "human", "question": "Irma has $122.00. How much money will Irma have left if she buys a book about Australia and a book about Europe?\n" }, { "from": "gpt", "solution": "Find the total cost of a book about Australia and a book about Europe.\n\n$11.00 + $17.00 = $28.00\n\nNow subtract the total cost from the starting amount.\n\n$122.00 - $28.00 = $94.00\n\nIrma will have $94.00 left.", "answer": "94", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| book about soccer | $13.00 |\n| book about art | $14.00 |\n| book about Australia | $11.00 |\n| book about Europe | $17.00 |\n| book about dogs | $18.00 |\n| book about South America | $22.00 |" } ] }, { "id": "33489", "image": "33489.png", "conversations": [ { "from": "human", "question": "The school district compared how many swings each elementary school has. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n2, 6, 9, 6, 2, 6, 5, 3\n\nFirst, find the greatest number. The greatest number is 9.\n\nNext, find the least number. The least number is 2.\n\nSubtract the least number from the greatest number:\n\n9 − 2 = 7\n\nThe range is 7.", "answer": "7", "table": "**Swings**\n\n| School | Number of swings |\n| --- | --- |\n| Sierra Elementary | 2 |\n| Lincoln Elementary | 6 |\n| Canyon Elementary | 9 |\n| Boyd Elementary | 6 |\n| Valley Elementary | 2 |\n| Hillside Elementary | 6 |\n| Newberry Elementary | 5 |\n| Roseville Elementary | 3 |" } ] }, { "id": "33492", "image": "33492.png", "conversations": [ { "from": "human", "question": "How much would it cost to buy 2 kilograms of mung beans?\n" }, { "from": "gpt", "solution": "Find the cost of the mung beans. Multiply the price per kilogram by the number of kilograms.\n\n$0.64 × 2 = $1.28\n\nIt would cost $1.28.", "answer": "1.28", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| soybeans | $1.33/kilogram |\n| garbanzo beans | $1.14/kilogram |\n| lima beans | $1.25/kilogram |\n| kidney beans | $0.47/kilogram |\n| mung beans | $0.64/kilogram |" } ] }, { "id": "33495", "image": "33495.png", "conversations": [ { "from": "human", "question": "Emilia went to the store and bought 1/2 of a pound of rivets. How much did she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the rivets. Multiply the price per pound by the number of pounds.\n$5 × \\frac{1}{2} = $5 × 0.5 = $2.50\nShe spent $2.50.", "answer": "2.50", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| split washers | $5 per lb |\n| rivets | $5 per lb |\n| standard washers | $1 per lb |\n| nails | $5 per lb |\n| bolts | $1 per lb |" } ] }, { "id": "33497", "image": "33497.png", "conversations": [ { "from": "human", "question": "The train conductor made sure to count the number of passengers on each train. What is the largest number of passengers?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 9.\n\nNow find the highest leaf in the last row. The highest leaf is 0.\n\nThe largest number of passengers has a stem of 9 and a leaf of 0. Write the stem first, then the leaf: 90.\n\nThe largest number of passengers is 90 passengers.", "answer": "90", "table": "**Passengers per train**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 0, 5, 8 |\n| 5 | 1, 6, 7, 9 |\n| 6 | 0, 0, 0, 3, 4, 5, 7, 7, 8, 8, 8 |\n| 7 | 0, 7 |\n| 8 | 2, 2, 5, 6 |\n| 9 | 0 |" } ] }, { "id": "33502", "image": "33502.png", "conversations": [ { "from": "human", "question": "Each year the Springdale School District publishes its annual budget, which includes information on the sports program's per-student spending. According to the table, what was the rate of change between 2012 and 2013?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{$27 - $25}{2013 - 2012}\n = \\frac{$27 - $25}{1 year}\n = \\frac{$2}{1 year}\n = $2 per year\nThe rate of change between 2012 and 2013 was $2 per year.", "answer": "2", "table": "**Springdale School District sports budget**\n\n| Year | Per-student budget |\n| --- | --- |\n| 2011 | $21 |\n| 2012 | $25 |\n| 2013 | $27 |\n| 2014 | $28 |\n| 2015 | $21 |" } ] }, { "id": "33504", "image": "33504.png", "conversations": [ { "from": "human", "question": "If Christine buys 1/2 of a kilogram of Greek olives, how much will she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the Greek olives. Multiply the price per kilogram by the number of kilograms.\n$2 × \\frac{1}{2} = $2 × 0.5 = $1\nShe will spend $1.", "answer": "1", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pimento olives | $3/kilogram |\n| Greek olives | $2/kilogram |\n| Kalamata olives | $3/kilogram |\n| Spanish olives | $3/kilogram |\n| green olives | $3/kilogram |" } ] }, { "id": "33511", "image": "33511.png", "conversations": [ { "from": "human", "question": "Maddie's class paid attention to how many bottles each student collected for their recycling project. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n33, 33, 35, 36, 31, 35, 32, 33\n\nFirst, find the greatest number. The greatest number is 36.\n\nNext, find the least number. The least number is 31.\n\nSubtract the least number from the greatest number:\n\n36 − 31 = 5\n\nThe range is 5.", "answer": "5", "table": "**Bottles collected**\n\n| Name | Number of bottles |\n| --- | --- |\n| Maddie | 33 |\n| Vicky | 33 |\n| Juan | 35 |\n| Norma | 36 |\n| Patrick | 31 |\n| Katie | 35 |\n| Brenda | 32 |\n| Dwayne | 33 |" } ] }, { "id": "33518", "image": "33518.png", "conversations": [ { "from": "human", "question": "For an assignment, Mitchell looked at which countries got the most Nobel Prizes in various decades. In the 1980s, how many more Nobel Prize winners did Germany have than France?\n" }, { "from": "gpt", "solution": "Find the 1980 s column. Find the numbers in this column for Germany and France.\n\nGermany: 11\nFrance: 5\n\nNow subtract:\n\n11 − 5 = 6\n\nGermany had 6 more Nobel Prize winners in the 1980 s than France.", "answer": "6", "table": "**Nobel Prize winners**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 1970s | 1980s |\n| Japan | 2 | 2 |\n| Germany | 9 | 11 |\n| Holland | 2 | 2 |\n| Canada | 2 | 3 |\n| France | 3 | 5 |" } ] }, { "id": "33522", "image": "33522.png", "conversations": [ { "from": "human", "question": "Kari kept track of how many laps she swam during the past 7 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n94, 99, 94, 97, 98, 100, 95\n\nFirst, arrange the numbers from least to greatest:\n\n94, 94, 95, 97, 98, 99, 100\n\nNow find the number in the middle.\n\n94, 94, 95, 97, 98, 99, 100\n\nThe number in the middle is 97.\n\nThe median is 97.", "answer": "97", "table": "**Laps swum**\n\n| Day | Number of laps |\n| --- | --- |\n| Sunday | 94 |\n| Monday | 99 |\n| Tuesday | 94 |\n| Wednesday | 97 |\n| Thursday | 98 |\n| Friday | 100 |\n| Saturday | 95 |" } ] }, { "id": "33530", "image": "33530.png", "conversations": [ { "from": "human", "question": "A school interested in expanding its playground counted the number of times that students went down the slide during recess. How many students went down the slide more than 2 times?\n" }, { "from": "gpt", "solution": "Find the rows for 3 and 4 times. Add the frequencies for these rows.\n\nAdd:\n\n12 + 5 = 17\n\n17 students went down the slide more than 2 times.", "answer": "17", "table": "**Going down the slide at recess**\n\n| Number of times | Frequency |\n| --- | --- |\n| 0 | 10 |\n| 1 | 19 |\n| 2 | 1 |\n| 3 | 12 |\n| 4 | 5 |" } ] }, { "id": "33535", "image": "33535.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does Car Chases and Motorcycle Races end?\n" }, { "from": "gpt", "solution": "Find Car Chases and Motorcycle Races on the schedule. Find the end time for Car Chases and Motorcycle Races.\n\nCar Chases and Motorcycle Races: 2:00 P. M.", "answer": "2:00 P.M.", "table": "**Movie schedule**\n\n| Movie | Begin | End |\n| --- | --- | --- |\n| Spaceships and Rockets | 9:00 A.M. | 10:10 A.M. |\n| Time Traveler II | 9:20 A.M. | 11:50 A.M. |\n| Car Chases and Motorcycle Races | 11:15 A.M. | 2:00 P.M. |\n| Witches and Wizards on Broomsticks | 1:05 P.M. | 3:00 P.M. |\n| Cartoon Penguin Adventure | 2:30 P.M. | 5:30 P.M. |\n| Two Funny Guys in a Big City | 4:40 P.M. | 5:40 P.M. |\n| Springtime Love Story | 5:10 P.M. | 7:35 P.M. |\n| The True Story of a Championship Team | 6:40 P.M. | 8:25 P.M. |\n| Return to Tumbleweed City | 7:45 P.M. | 10:05 P.M. |" } ] }, { "id": "33536", "image": "33536.png", "conversations": [ { "from": "human", "question": "Janet kept a tally of the number of emails she received each day for a week. According to the table, what was the rate of change between Sunday and Monday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{10 emails - 5 emails}{1 day}\n = \\frac{5 emails}{1 day}\n = 5 emails per day\nThe rate of change between Sunday and Monday was 5 emails per day.", "answer": "5", "table": "**Emails Janet received**\n\n| Day | Emails |\n| --- | --- |\n| Sunday | 5 |\n| Monday | 10 |\n| Tuesday | 4 |\n| Wednesday | 5 |\n| Thursday | 5 |" } ] }, { "id": "33549", "image": "33549.png", "conversations": [ { "from": "human", "question": "Oscar has $12,538.00. Does he have enough to buy a ticket for a Mediterranean cruise and a ticket for an Atlantic cruise?\n" }, { "from": "gpt", "solution": "Add the price of a ticket for a Mediterranean cruise and the price of a ticket for an Atlantic cruise:\n\n$6,138.00 + $6,795.00 = $12,933.00\n\n$12,933.00 is more than $12,538.00. Oscar does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| ticket for an Atlantic cruise | $6,795.00 |\n| ticket for a Caribbean cruise | $1,581.00 |\n| ticket for a Mexican cruise | $3,769.00 |\n| ticket for a South American cruise | $6,109.00 |\n| ticket for a Mediterranean cruise | $6,138.00 |" } ] }, { "id": "33551", "image": "33551.png", "conversations": [ { "from": "human", "question": "Lindsey bought 3+1/2 kilograms of pistachios. How much did she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the pistachios. Multiply the price per kilogram by the number of kilograms.\n$4 × 3\\frac{1}{2} = $4 × 3.5 = $14\nShe spent $14.", "answer": "14", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pistachios | $4 per kilogram |\n| peanuts | $2 per kilogram |\n| Brazil nuts | $4 per kilogram |\n| pine nuts | $5 per kilogram |\n| chestnuts | $4 per kilogram |\n| macadamia nuts | $2 per kilogram |" } ] }, { "id": "33552", "image": "33552.png", "conversations": [ { "from": "human", "question": "At their family reunion, the Hutchinson family recorded everyone's age. What is the age of the oldest person?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 8.\n\nNow find the highest leaf in the last row. The highest leaf is 8.\n\nThe age of the oldest person has a stem of 8 and a leaf of 8. Write the stem first, then the leaf: 88.\n\nThe age of the oldest person is 88 years old.", "answer": "88", "table": "**Ages**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 0, 2, 6, 7 |\n| 3 | |\n| 4 | 1, 9 |\n| 5 | 3, 4, 7 |\n| 6 | 1, 3 |\n| 7 | 1, 2, 7 |\n| 8 | 0, 0, 8 |" } ] }, { "id": "33553", "image": "33553.png", "conversations": [ { "from": "human", "question": "Jake has two dogs, Sprinkles and Champ. He is concerned because Sprinkles keeps eating Champ's food. Jake asks their vet how much each dog's weight has changed since their last visit. Which dog's weight has changed the most?\n" }, { "from": "gpt", "solution": "To find which dog's weight changed the most, use absolute value. Absolute value tells you how much each dog's weight has changed.\nSprinkles: |5| = 5\nChamp: |-6| = 6\nChamp's weight has changed the most. He has lost 6 ounces.", "answer": "Champ", "table": "| Dog | Weight change (oz.) |\n| --- | --- |\n| Sprinkles | 5 |\n| Champ | -6 |" } ] }, { "id": "33554", "image": "33554.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does the weather demonstration end?\n" }, { "from": "gpt", "solution": "Find the weather demonstration on the schedule. Find the end time for the weather demonstration.\n\nweather demonstration: 4:10 P. M.", "answer": "4:10 P.M.", "table": "**Science museum schedule**\n\n| Event | Begin | End |\n| --- | --- | --- |\n| plant demonstration | 10:40 A.M. | 12:35 P.M. |\n| train lecture | 12:05 P.M. | 2:25 P.M. |\n| weather demonstration | 1:45 P.M. | 4:10 P.M. |\n| nutrition lecture | 3:35 P.M. | 4:20 P.M. |\n| medicine lecture | 3:45 P.M. | 4:30 P.M. |\n| engine demonstration | 4:10 P.M. | 5:10 P.M. |" } ] }, { "id": "33558", "image": "33558.png", "conversations": [ { "from": "human", "question": "An employee at the candle factory reported on the number of candles made each month. How many candles did the factory make in total in May and June?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nMay: 7,236\nJune: 1,150\n\nNow add: 7,236 + 1,150 = 8,386.\n\nThe factory made 8,386 candles in May and June.", "answer": "8,386", "table": "**Candles made**\n\n| Month | Number of candles |\n| --- | --- |\n| May | 7,236 |\n| June | 1,150 |\n| July | 1,146 |\n| August | 1,675 |" } ] }, { "id": "33568", "image": "33568.png", "conversations": [ { "from": "human", "question": "Each sheet has 5 stickers. How many stickers are on 3 sheets?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 15 stickers on 3 sheets.", "answer": "15", "table": "| Number of sheets | Number of stickers |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | ? |" } ] }, { "id": "33570", "image": "33570.png", "conversations": [ { "from": "human", "question": "A cable company analyst paid attention to how many new customers it had each day. On which day did the cable company have the most new customers?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 69.\n\nNow find the corresponding day. Friday corresponds to 69.", "answer": "Friday", "table": "**New cable customers**\n\n| Day | Number of new customers |\n| --- | --- |\n| Thursday | 62 |\n| Friday | 69 |\n| Saturday | 67 |\n| Sunday | 61 |" } ] }, { "id": "33575", "image": "33575.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. How long does it take to get from Church Street to Central Road?\n" }, { "from": "gpt", "solution": "Read the times in the first column for Church Street and Central Road.\n\nFind the elapsed time between 8:00 A. M. and 9:00 A. M. The elapsed time is 1 hour.\n\nNo matter which column of times you look at, the elapsed time is always 1 hour.", "answer": "1 hour", "table": "**Subway train schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 |\n| --- | --- | --- | --- |\n| Church Street | 8:00 A.M. | 10:15 A.M. | 11:00 A.M. |\n| Central Road | 9:00 A.M. | 11:15 A.M. | 12:00 P.M. |\n| Washington Boulevard | 9:15 A.M. | 11:30 A.M. | 12:15 P.M. |\n| Woodland Boulevard | 10:15 A.M. | 12:30 P.M. | 1:15 P.M. |\n| Valley Street | 11:15 A.M. | 1:30 P.M. | 2:15 P.M. |\n| Birch Street | 12:00 P.M. | 2:15 P.M. | 3:00 P.M. |\n| Miller Street | 12:45 P.M. | 3:00 P.M. | 3:45 P.M. |\n| East Road | 1:15 P.M. | 3:30 P.M. | 4:15 P.M. |\n| Willow Avenue | 1:45 P.M. | 4:00 P.M. | 4:45 P.M. |" } ] }, { "id": "33578", "image": "33578.png", "conversations": [ { "from": "human", "question": "How much money does Britney need to buy 2 duck key chains?\n" }, { "from": "gpt", "solution": "Find the total cost of 2 duck key chains by multiplying 2 times the price of a duck key chain.\n\n$0.52 × 2 = $1.04\n\nBritney needs $1.04.", "answer": "1.04", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| duck key chain | $0.52 |\n| puppy key chain | $0.78 |\n| frog key chain | $0.98 |\n| football helmet key chain | $0.86 |" } ] }, { "id": "33580", "image": "33580.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which group ends at 4.40 P.M.?\n" }, { "from": "gpt", "solution": "Find 4:40 P. M. on the schedule. The terrier group competition ends at 4:40 P. M.", "answer": "terrier group competition", "table": "**Dog show schedule**\n\n| Group | Begin | End |\n| --- | --- | --- |\n| working group | 11:00 A.M. | 12:45 P.M. |\n| hound group | 1:00 P.M. | 3:25 P.M. |\n| terrier group | 3:55 P.M. | 4:40 P.M. |\n| toy group | 5:05 P.M. | 6:20 P.M. |\n| non-sporting group | 6:35 P.M. | 8:40 P.M. |" } ] }, { "id": "33582", "image": "33582.png", "conversations": [ { "from": "human", "question": "Some friends compared the sizes of their stuffed animal collections. Who has the fewest stuffed animals?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 942.\n\nNow find the corresponding name. Kimberly corresponds to 942.", "answer": "Kimberly", "table": "**Stuffed animal collections**\n\n| Name | Number of stuffed animals |\n| --- | --- |\n| Bernie | 974 |\n| Kimberly | 942 |\n| Ariel | 979 |\n| Ezra | 994 |" } ] }, { "id": "33588", "image": "33588.png", "conversations": [ { "from": "human", "question": "The bird watcher counted the number of birds in each flock that passed overhead. What is the largest number of birds?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 6.\n\nNow find the highest leaf in the last row. The highest leaf is 0.\n\nThe largest number of birds has a stem of 6 and a leaf of 0. Write the stem first, then the leaf: 60.\n\nThe largest number of birds is 60 birds.", "answer": "60", "table": "**Birds per flock**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 3, 6 |\n| 2 | |\n| 3 | |\n| 4 | 2, 7 |\n| 5 | 3 |\n| 6 | 0, 0 |" } ] }, { "id": "33590", "image": "33590.png", "conversations": [ { "from": "human", "question": "A city's school board compared how many students attend each high school. How many students attend Lincoln High and Truman High combined?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nLincoln High: 583\nTruman High: 603\n\nNow add: 583 + 603 = 1,186.\n\n1,186 students attend Lincoln High and Truman High.", "answer": "1,186", "table": "**High school attendance**\n\n| School | Number of students |\n| --- | --- |\n| Jackson High | 731 |\n| Lincoln High | 583 |\n| Watson High | 815 |\n| Truman High | 603 |\n| Oak High | 509 |" } ] }, { "id": "33609", "image": "33609.png", "conversations": [ { "from": "human", "question": "A veterinarian weighed all the dogs that visited his office last month. What is the weight of the heaviest dog?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 6.\n\nNow find the highest leaf in the last row. The highest leaf is 8.\n\nThe weight of the heaviest dog has a stem of 6 and a leaf of 8. Write the stem first, then the leaf: 68.\n\nThe weight of the heaviest dog is 68 pounds.", "answer": "68", "table": "**Dogs' weights (lbs)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 5 |\n| 2 | 1, 5, 7, 7, 7, 8 |\n| 3 | 4, 8 |\n| 4 | 1, 1, 8, 8 |\n| 5 | 5, 8, 9 |\n| 6 | 0, 1, 4, 7, 8 |" } ] }, { "id": "33612", "image": "33612.png", "conversations": [ { "from": "human", "question": "The staff of a game show tracked the performance of all the contestants during the past season. What is the highest score?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 8.\n\nNow find the highest leaf in the last row. The highest leaf is 9.\n\nThe highest score has a stem of 8 and a leaf of 9. Write the stem first, then the leaf: 89.\n\nThe highest score is 89 points.", "answer": "89", "table": "**Game show scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 2, 8 |\n| 3 | 1, 2, 7, 8 |\n| 4 | |\n| 5 | |\n| 6 | 2, 7, 8 |\n| 7 | 2, 2, 2, 8, 9 |\n| 8 | 9 |" } ] }, { "id": "33631", "image": "33631.png", "conversations": [ { "from": "human", "question": "In a study on public parking, the director of transportation counted the number of cars in each of the city's parking lots. How many parking lots had at least 40 cars but fewer than 60 cars?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 4 and 5.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 parking lots had at least 40 cars but fewer than 60 cars.", "answer": "3", "table": "**Cars per parking lot**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 1, 2 |\n| 3 | 4 |\n| 4 | |\n| 5 | 0, 2, 7 |\n| 6 | 6 |" } ] }, { "id": "33638", "image": "33638.png", "conversations": [ { "from": "human", "question": "Each jar has 5 cherries. How many cherries are in 5 jars?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 25 cherries in 5 jars.", "answer": "25", "table": "| Number of jars | Number of cherries |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | 20 |\n| 5 | ? |" } ] }, { "id": "33641", "image": "33641.png", "conversations": [ { "from": "human", "question": "Edward is a physical therapist who specializes in leg injuries. His patients differ in age and type of injury. What is the probability that a randomly selected patient suffers from knee pain and is 0-12 years old? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the patient suffers from knee pain\" and B be the event \"the patient is 0-12 years old\".\nTo find the probability that a patient suffers from knee pain and is 0-12 years old, first identify the sample space and the event.\nThe outcomes in the sample space are the different patients. Each patient is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the patient suffers from knee pain and is 0-12 years old\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the patient suffers from knee pain and is 0-12 years old\", so look at the table to see how many patients suffer from knee pain and are 0-12 years old.\nThe number of patients who suffer from knee pain and are 0-12 years old is 1.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of patients.\n1 + 7 + 7 + 4 = 19\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{1}{19}\nThe probability that a patient suffers from knee pain and is 0-12 years old is \\frac{1}{19}.", "answer": "1/19", "table": "| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| | 0-12 years old | 13-19 years old |\n| Knee pain | 1 | 7 |\n| Ankle pain | 7 | 4 |" } ] }, { "id": "33644", "image": "33644.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which stop does the train depart from at 11.40 A.M.?\n" }, { "from": "gpt", "solution": "Find 11:40 A. M. on the schedule. The train departs from the industrial district at 11:40 A. M.", "answer": "industrial district", "table": "**Subway train schedule**\n\n| Location | Time |\n| --- | --- |\n| civic center | 9:00 A.M. |\n| waterfront | 9:40 A.M. |\n| downtown | 10:00 A.M. |\n| city park | 10:35 A.M. |\n| shopping district | 11:15 A.M. |\n| industrial district | 11:40 A.M. |\n| university | 12:15 P.M. |\n| restaurant district | 12:55 P.M. |\n| football stadium | 1:20 P.M. |" } ] }, { "id": "33651", "image": "33651.png", "conversations": [ { "from": "human", "question": "The local high school found out how many members each club had. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n8, 5, 9, 9, 9, 8\n\nFirst, count how many numbers are in the group.\n\nThere are 6 numbers.\n\nNow add all the numbers together:\n\n8 + 5 + 9 + 9 + 9 + 8 = 48\n\nNow divide the sum by the number of numbers:\n\n48 ÷ 6 = 8\n\nThe mean is 8.", "answer": "8", "table": "**Club membership**\n\n| Club | Number of members |\n| --- | --- |\n| physics club | 8 |\n| math club | 5 |\n| art club | 9 |\n| geology club | 9 |\n| history club | 9 |\n| Japanese club | 8 |" } ] }, { "id": "33663", "image": "33663.png", "conversations": [ { "from": "human", "question": "Kate graphed the amount of snow that fell in the last 7 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 4, 2, 9, 8, 9, 8\n\nFirst, arrange the numbers from least to greatest:\n\n2, 4, 6, 8, 8, 9, 9\n\nNow find the number in the middle.\n\n2, 4, 6, 8, 8, 9, 9\n\nThe number in the middle is 8.\n\nThe median is 8.", "answer": "8", "table": "**Daily snowfall**\n\n| Day | Snowfall (inches) |\n| --- | --- |\n| Friday | 6 |\n| Saturday | 4 |\n| Sunday | 2 |\n| Monday | 9 |\n| Tuesday | 8 |\n| Wednesday | 9 |\n| Thursday | 8 |" } ] }, { "id": "33668", "image": "33668.png", "conversations": [ { "from": "human", "question": "A cable company analyst paid attention to how many new customers it had each day. On which day did the cable company have the fewest new customers?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 335.\n\nNow find the corresponding day. Saturday corresponds to 335.", "answer": "Saturday", "table": "**New cable customers**\n\n| Day | Number of new customers |\n| --- | --- |\n| Thursday | 345 |\n| Friday | 343 |\n| Saturday | 335 |\n| Sunday | 359 |" } ] }, { "id": "33672", "image": "33672.png", "conversations": [ { "from": "human", "question": "Monica was a spectator at her town's air guitar competition. Contestants were allowed to play either the acoustic or electric air guitar, but not both. Monica recorded which type of guitar each contestant played. She also counted the number of contestants wearing different kinds of pants, as there were some interesting stylistic choices. What is the probability that a randomly selected contestant was dressed in velvet and played an acoustic guitar? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the contestant was dressed in velvet\" and B be the event \"the contestant played an acoustic guitar\".\nTo find the probability that a contestant was dressed in velvet and played an acoustic guitar, first identify the sample space and the event.\nThe outcomes in the sample space are the different contestants. Each contestant is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the contestant was dressed in velvet and played an acoustic guitar\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the contestant was dressed in velvet and played an acoustic guitar\", so look at the table to see how many contestants were dressed in velvet and played an acoustic guitar.\nThe number of contestants who were dressed in velvet and played an acoustic guitar is 4.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of contestants.\n4 + 4 + 3 + 2 = 13\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{4}{13}\nThe probability that a contestant was dressed in velvet and played an acoustic guitar is \\frac{4}{13}.", "answer": "4/13", "table": "| | Acoustic guitar | Electric guitar |\n| --- | --- | --- |\n| Leather | 4 | 3 |\n| Velvet | 4 | 2 |" } ] }, { "id": "33673", "image": "33673.png", "conversations": [ { "from": "human", "question": "How much money does Helen need to buy 4 cookie sheets and a glass bowl?\n" }, { "from": "gpt", "solution": "Find the cost of 4 cookie sheets.\n\n$9.86 × 4 = $39.44\n\nNow find the total cost.\n\n$39.44 + $7.96 = $47.40\n\nHelen needs $47.40.", "answer": "47.40", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| plastic bowl | $1.61 |\n| cookie sheet | $9.86 |\n| rolling pin | $8.65 |\n| funnel | $1.01 |\n| coffee mug | $4.25 |\n| glass bowl | $7.96 |" } ] }, { "id": "33676", "image": "33676.png", "conversations": [ { "from": "human", "question": "Julie counted all the beads in each necklace at the jewelry store where she works. How many necklaces had at least 50 beads but fewer than 90 beads?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 5, 6, 7, and 8.\n\nYou counted 13 leaves, which are blue in the stem-and-leaf plot above. 13 necklaces had at least 50 beads but fewer than 90 beads.", "answer": "13", "table": "**Beads per necklace**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 2 |\n| 5 | 0, 5, 5, 7 |\n| 6 | 4, 6 |\n| 7 | 0, 3, 5, 7, 8, 8 |\n| 8 | 9 |\n| 9 | 0, 0 |" } ] }, { "id": "33679", "image": "33679.png", "conversations": [ { "from": "human", "question": "An Idaho farmer has been monitoring crop prices over time. In 2004, which crop cost the most per cwt?\n" }, { "from": "gpt", "solution": "Look at the numbers in the 2004 column. Find the greatest number in this column.\n\nThe greatest number is $12.00, which is in the Apples row. In 2004, apples cost the most per cwt.", "answer": "apples", "table": "**Idaho crop prices per cwt**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Crop | 2003 | 2004 |\n| Onions | $11 | $7 |\n| Apples | $20 | $12 |\n| Canola | $10 | $11 |" } ] }, { "id": "33682", "image": "33682.png", "conversations": [ { "from": "human", "question": "A researcher recorded the number of cows on each farm in the county. What is the largest number of cows?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 8.\n\nNow find the highest leaf in the last row. The highest leaf is 8.\n\nThe largest number of cows has a stem of 8 and a leaf of 8. Write the stem first, then the leaf: 88.\n\nThe largest number of cows is 88 cows.", "answer": "88", "table": "**Cows per farm**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 0, 3, 5 |\n| 3 | 2, 7 |\n| 4 | |\n| 5 | 7, 9 |\n| 6 | 0, 1, 2 |\n| 7 | 3, 4 |\n| 8 | 0, 4, 7, 8 |" } ] }, { "id": "33691", "image": "33691.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $200, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $200, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $40 | 19,500 | 6,600 |\n| $200 | 14,900 | 10,100 |\n| $360 | 10,300 | 13,600 |\n| $520 | 5,700 | 17,100 |\n| $680 | 1,100 | 20,600 |" } ] }, { "id": "33699", "image": "33699.png", "conversations": [ { "from": "human", "question": "A grocery store tracked how many bananas it sold each day. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n37, 44, 45, 43, 41, 51, 43\n\nFirst, arrange the numbers from least to greatest:\n\n37, 41, 43, 43, 44, 45, 51\n\nNow find the number in the middle.\n\n37, 41, 43, 43, 44, 45, 51\n\nThe number in the middle is 43.\n\nThe median is 43.", "answer": "43", "table": "**Bananas sold**\n\n| Day | Number of bananas |\n| --- | --- |\n| Thursday | 37 |\n| Friday | 44 |\n| Saturday | 45 |\n| Sunday | 43 |\n| Monday | 41 |\n| Tuesday | 51 |\n| Wednesday | 43 |" } ] }, { "id": "33702", "image": "33702.png", "conversations": [ { "from": "human", "question": "An author kept a log of how many pages he wrote in the past 5 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n1, 3, 5, 10, 7\n\nFirst, find the greatest number. The greatest number is 10.\n\nNext, find the least number. The least number is 1.\n\nSubtract the least number from the greatest number:\n\n10 − 1 = 9\n\nThe range is 9.", "answer": "9", "table": "**Pages written**\n\n| Day | Number of pages |\n| --- | --- |\n| Wednesday | 1 |\n| Thursday | 3 |\n| Friday | 5 |\n| Saturday | 10 |\n| Sunday | 7 |" } ] }, { "id": "33724", "image": "33724.png", "conversations": [ { "from": "human", "question": "Dr. Garrison, a zoo director, researched ticket prices at other zoos around the country. Of the zoos shown, which charges the least for a child ticket?\n" }, { "from": "gpt", "solution": "Look at the numbers in the Child column. Find the least number in this column.\n\nThe least number is $5.00, which is in the Central Park row. The Central Park Zoo charges the least for a child.", "answer": "Central Park", "table": "**Zoo ticket prices**\n\n| Zoo | Adult | Child |\n| --- | --- | --- |\n| Central Park | $10 | $5 |\n| Los Angeles | $13 | $8 |\n| Minnesota | $16 | $10 |\n| Atlanta | $19 | $14 |" } ] }, { "id": "33729", "image": "33729.png", "conversations": [ { "from": "human", "question": "The members of the local garden club tallied the number of plants in each person's garden. How many gardens have at least 22 plants but fewer than 45 plants?\n" }, { "from": "gpt", "solution": "Find the row with stem 2. Count all the leaves greater than or equal to 2.\n\nCount all the leaves in the row with stem 3.\n\nIn the row with stem 4, count all the leaves less than 5.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plots above. 4 gardens have at least 22 plants but fewer than 45 plants.", "answer": "4", "table": "**Plants per garden**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 6, 6 |\n| 3 | 7 |\n| 4 | 2, 5 |\n| 5 | 0, 0, 2, 3, 9 |\n| 6 | |\n| 7 | 0, 4 |\n| 8 | 1, 2, 6 |" } ] }, { "id": "33734", "image": "33734.png", "conversations": [ { "from": "human", "question": "The school district compared how many swings each elementary school has. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n3, 5, 8, 9, 8, 3\n\nFirst, count how many numbers are in the group.\n\nThere are 6 numbers.\n\nNow add all the numbers together:\n\n3 + 5 + 8 + 9 + 8 + 3 = 36\n\nNow divide the sum by the number of numbers:\n\n36 ÷ 6 = 6\n\nThe mean is 6.", "answer": "6", "table": "**Swings**\n\n| School | Number of swings |\n| --- | --- |\n| Boyd Elementary | 3 |\n| Jefferson Elementary | 5 |\n| Roseville Elementary | 8 |\n| Hillside Elementary | 9 |\n| Canyon Elementary | 8 |\n| Shoreline Elementary | 3 |" } ] }, { "id": "33740", "image": "33740.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{7 - 0}{5 - 4}\n = \\frac{7}{1}\n = 7\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{14 - 0}{6 - 4}\n = \\frac{14}{2}\n = 7\nThe two rates of change are the same.\nIf you checked the rate of change between rows 2 and 3, you would find that it is also 7.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 4 | 0 |\n| 5 | 7 |\n| 6 | 14 |" } ] }, { "id": "33742", "image": "33742.png", "conversations": [ { "from": "human", "question": "Isabella jotted down how many baskets she made during basketball practice each day. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n8, 4, 4, 5, 7, 8\n\nFirst, count how many numbers are in the group.\n\nThere are 6 numbers.\n\nNow add all the numbers together:\n\n8 + 4 + 4 + 5 + 7 + 8 = 36\n\nNow divide the sum by the number of numbers:\n\n36 ÷ 6 = 6\n\nThe mean is 6.", "answer": "6", "table": "**Baskets made**\n\n| Day | Number of baskets |\n| --- | --- |\n| Sunday | 8 |\n| Monday | 4 |\n| Tuesday | 4 |\n| Wednesday | 5 |\n| Thursday | 7 |\n| Friday | 8 |" } ] }, { "id": "33745", "image": "33745.png", "conversations": [ { "from": "human", "question": "How much money does Aisha need to buy 6 tennis racquets and a football?\n" }, { "from": "gpt", "solution": "Find the cost of 6 tennis racquets.\n\n$16.00 × 6 = $96.00\n\nNow find the total cost.\n\n$96.00 + $14.00 = $110.00\n\nAisha needs $110.00.", "answer": "110", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| fishing pole | $21.00 |\n| football | $14.00 |\n| baseball bat | $25.00 |\n| tennis racquet | $16.00 |" } ] }, { "id": "33750", "image": "33750.png", "conversations": [ { "from": "human", "question": "Brody counted the number of peanuts in each bag of trail mix. How many bags had at least 52 peanuts?\n" }, { "from": "gpt", "solution": "Find the row with stem 5. Count all the leaves greater than or equal to 2.\n\nCount all the leaves in the rows with stems 6, 7, and 8.\n\nYou counted 13 leaves, which are blue in the stem-and-leaf plots above. 13 bags had at least 52 peanuts.", "answer": "13", "table": "**Peanuts per bag of trail mix**\n\n| Stem | Leaf |\n| --- | --- |\n| 5 | 0, 9 |\n| 6 | 2, 3, 3, 5, 6, 8 |\n| 7 | 3, 7, 8, 9 |\n| 8 | 2, 7 |" } ] }, { "id": "33751", "image": "33751.png", "conversations": [ { "from": "human", "question": "A game show program recorded the scores of its contestants. Which score did the fewest people receive?\n" }, { "from": "gpt", "solution": "Look at the frequency column. Find the least frequency. The least frequency is 1, which is in the row for 7. The fewest people scored 7.", "answer": "7", "table": "**Scores on a quiz show**\n\n| Score | Frequency |\n| --- | --- |\n| 5 | 2 |\n| 6 | 7 |\n| 7 | 1 |\n| 8 | 5 |\n| 9 | 8 |\n| 10 | 19 |" } ] }, { "id": "33756", "image": "33756.png", "conversations": [ { "from": "human", "question": "What is the total cost for 2.2 pounds of plain yogurt?\n" }, { "from": "gpt", "solution": "Find the cost of the plain yogurt. Multiply the price per pound by the number of pounds.\n$4 × 2.2 = $8.80\nThe total cost is $8.80.", "answer": "8.80", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| cream cheese | $4/lb |\n| plain yogurt | $4/lb |\n| butter | $5/lb |\n| Greek yogurt | $5/lb |" } ] }, { "id": "33764", "image": "33764.png", "conversations": [ { "from": "human", "question": "Each block has 5 shops. How many shops are on 6 blocks?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 30 shops on 6 blocks.", "answer": "30", "table": "| Number of blocks | Number of shops |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | 20 |\n| 5 | 25 |\n| 6 | ? |" } ] }, { "id": "33768", "image": "33768.png", "conversations": [ { "from": "human", "question": "Liz wrote down how many spelling words she practiced each day. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 4, 9, 7, 4, 7, 6\n\nFirst, arrange the numbers from least to greatest:\n\n4, 4, 6, 7, 7, 9, 9\n\nNow find the number in the middle.\n\n4, 4, 6, 7, 7, 9, 9\n\nThe number in the middle is 7.\n\nThe median is 7.", "answer": "7", "table": "**Spelling words practiced**\n\n| Day | Number of spelling words |\n| --- | --- |\n| Friday | 9 |\n| Saturday | 4 |\n| Sunday | 9 |\n| Monday | 7 |\n| Tuesday | 4 |\n| Wednesday | 7 |\n| Thursday | 6 |" } ] }, { "id": "33770", "image": "33770.png", "conversations": [ { "from": "human", "question": "The employee at the department store counted the number of ties on each tie rack. How many racks have exactly 44 ties?\n" }, { "from": "gpt", "solution": "For the number 44, the stem is 4, and the leaf is 4. Find the row where the stem is 4. In that row, count all the leaves equal to 4.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 racks have exactly 44 ties.", "answer": "2", "table": "**Ties per rack**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 5, 9 |\n| 2 | 0, 5, 8, 8, 9 |\n| 3 | 1, 3, 3, 3, 4, 5, 6, 8 |\n| 4 | 1, 1, 2, 2, 3, 4, 4, 6, 6 |" } ] }, { "id": "33773", "image": "33773.png", "conversations": [ { "from": "human", "question": "A baker wrote down how many pies she made in the past 7 days. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n0, 2, 10, 8, 5, 7, 10\n\nFirst, count how many numbers are in the group.\n\nThere are 7 numbers.\n\nNow add all the numbers together:\n\n0 + 2 + 10 + 8 + 5 + 7 + 10 = 42\n\nNow divide the sum by the number of numbers:\n\n42 ÷ 7 = 6\n\nThe mean is 6.", "answer": "6", "table": "**Pies baked**\n\n| Day | Number of pies |\n| --- | --- |\n| Wednesday | 0 |\n| Thursday | 2 |\n| Friday | 10 |\n| Saturday | 8 |\n| Sunday | 5 |\n| Monday | 7 |\n| Tuesday | 10 |" } ] }, { "id": "33781", "image": "33781.png", "conversations": [ { "from": "human", "question": "Some friends discussed the sizes of their coin collections. Who has the fewest coins?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 30.\n\nNow find the corresponding name. Valentina corresponds to 30.", "answer": "Valentina", "table": "**Coin collections**\n\n| Name | Number of coins |\n| --- | --- |\n| Fred | 31 |\n| Anita | 34 |\n| Hazel | 39 |\n| Valentina | 30 |" } ] }, { "id": "33785", "image": "33785.png", "conversations": [ { "from": "human", "question": "How much more does a baseball ticket cost than a hockey ticket?\n" }, { "from": "gpt", "solution": "Subtract the price of a hockey ticket from the price of a baseball ticket.\n\n$86 - $20 = $66\n\nA baseball ticket costs $66 more than a hockey ticket.", "answer": "66", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| baseball ticket | $86 |\n| hockey ticket | $20 |\n| basketball ticket | $47 |\n| golf ticket | $65 |" } ] }, { "id": "33791", "image": "33791.png", "conversations": [ { "from": "human", "question": "The members of the track team compared how many miles they ran last week. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n3, 3, 8, 3, 5, 9, 9\n\nFirst, arrange the numbers from least to greatest:\n\n3, 3, 3, 5, 8, 9, 9\n\nNow find the number in the middle.\n\n3, 3, 3, 5, 8, 9, 9\n\nThe number in the middle is 5.\n\nThe median is 5.", "answer": "5", "table": "**Running miles**\n\n| Name | Miles |\n| --- | --- |\n| Julia | 3 |\n| Luca | 3 |\n| Deion | 8 |\n| Polly | 3 |\n| Trisha | 5 |\n| Vicky | 9 |\n| Ruth | 9 |" } ] }, { "id": "33802", "image": "33802.png", "conversations": [ { "from": "human", "question": "The Woodard Senior Care Center monitored how often its residents got to visit with relatives last year. How many residents did not visit with relatives last year?\n" }, { "from": "gpt", "solution": "Find the row for 0 times and read the frequency. The frequency is 2.\n\n2 residents did not visit with relatives last year.", "answer": "2", "table": "**Visiting with relatives last year**\n\n| Number of visits | Frequency |\n| --- | --- |\n| 0 | 2 |\n| 1 | 8 |\n| 2 | 9 |\n| 3 | 1 |\n| 4 | 7 |" } ] }, { "id": "33806", "image": "33806.png", "conversations": [ { "from": "human", "question": "The players on a quiz show received the following scores. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n30, 21, 29, 25, 18\n\nFirst, find the greatest number. The greatest number is 30.\n\nNext, find the least number. The least number is 18.\n\nSubtract the least number from the greatest number:\n\n30 − 18 = 12\n\nThe range is 12.", "answer": "12", "table": "**Quiz show scores**\n\n| Name | Score |\n| --- | --- |\n| Joey | 30 |\n| Sean | 21 |\n| Helen | 29 |\n| Eli | 25 |\n| Allie | 18 |" } ] }, { "id": "33808", "image": "33808.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does the trapeze artists' performance begin?\n" }, { "from": "gpt", "solution": "Find the trapeze artists' performance on the schedule. Find the beginning time for the trapeze artists' performance.\n\nthe trapeze artists: 5:40 P. M.", "answer": "5:40 P.M.", "table": "**Circus schedule**\n\n| Performer | Begin | End |\n| --- | --- | --- |\n| the jugglers | 5:25 P.M. | 5:35 P.M. |\n| the trapeze artists | 5:40 P.M. | 5:45 P.M. |\n| the clowns | 6:00 P.M. | 6:30 P.M. |\n| the tightrope walkers | 6:45 P.M. | 7:05 P.M. |\n| the stuntman | 7:15 P.M. | 7:45 P.M. |" } ] }, { "id": "33809", "image": "33809.png", "conversations": [ { "from": "human", "question": "Dr. Barton, a zoo director, researched ticket prices at other zoos around the country. How much more does a senior ticket cost at the San Francisco Zoo than at the Central Florida Zoo?\n" }, { "from": "gpt", "solution": "Find the Senior column. Find the numbers in this column for San Francisco and Central Florida.\n\nSan Francisco: $12.00\nCentral Florida: $9.00\n\nNow subtract:\n\n$12.00 − $9.00 = $3.00\n\nA senior cost $3 more at the San Francisco Zoo than at the Central Florida Zoo.", "answer": "3", "table": "**Zoo ticket prices**\n\n| Zoo | Child | Senior |\n| --- | --- | --- |\n| San Francisco | $9 | $12 |\n| Central Florida | $7 | $9 |\n| Atlanta | $14 | $15 |" } ] }, { "id": "33813", "image": "33813.png", "conversations": [ { "from": "human", "question": "A city recorded how many people rode the subway each day. On which day did the fewest people ride the subway?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 314.\n\nNow find the corresponding day. Friday corresponds to 314.", "answer": "Friday", "table": "**Subway riders**\n\n| Day | Number of riders |\n| --- | --- |\n| Friday | 314 |\n| Saturday | 331 |\n| Sunday | 341 |\n| Monday | 343 |" } ] }, { "id": "33817", "image": "33817.png", "conversations": [ { "from": "human", "question": "The Springfield Middle School fundraising committee found out how many sweatshirts students already had, in order to decide whether to sell sweatshirts for a fundraiser. How many students have more than 2 sweatshirts?\n" }, { "from": "gpt", "solution": "Find the row for 3 sweatshirts and read the frequency. The frequency is 19.\n\n19 students have more than 2 sweatshirts.", "answer": "19", "table": "**Sweatshirts**\n\n| Number of sweatshirts | Frequency |\n| --- | --- |\n| 0 | 8 |\n| 1 | 18 |\n| 2 | 11 |\n| 3 | 19 |" } ] }, { "id": "33819", "image": "33819.png", "conversations": [ { "from": "human", "question": "A magazine editor looked at her sales figures for the past 4 months. In which month were the fewest copies sold?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 731.\n\nNow find the corresponding month. January corresponds to 731.", "answer": "January", "table": "**Magazines sold**\n\n| Month | Number of magazines |\n| --- | --- |\n| January | 731 |\n| February | 773 |\n| March | 783 |\n| April | 787 |" } ] }, { "id": "33823", "image": "33823.png", "conversations": [ { "from": "human", "question": "Greenwood High School's student council recruited teachers and students to serve on each of its committees. How many students are on the cafeteria committee?\n" }, { "from": "gpt", "solution": "First, find the row for cafeteria. Then find the number in the Students column.\n\nThis number is 1. 1 students is on the cafeteria committee.", "answer": "1", "table": "**Student council committees**\n\n| Committee | Students | Teachers |\n| --- | --- | --- |\n| Sports | 10 | 1 |\n| Field trip | 12 | 2 |\n| Cafeteria | 1 | 15 |" } ] }, { "id": "33828", "image": "33828.png", "conversations": [ { "from": "human", "question": "The players on a quiz show received the following scores. If you combine their scores, how many points did Lindsey and Vijay receive?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nLindsey: 1,769\nVijay: 1,352\n\nNow add: 1,769 + 1,352 = 3,121.\n\nLindsey and Vijay scored 3,121 points.", "answer": "3,121", "table": "**Quiz show scores**\n\n| Name | Score |\n| --- | --- |\n| Brody | 7,117 |\n| Lindsey | 1,769 |\n| Monica | 1,300 |\n| Vijay | 1,352 |\n| Cody | 1,407 |" } ] }, { "id": "33832", "image": "33832.png", "conversations": [ { "from": "human", "question": "How much more does a sailing trip package cost than a surfing adventure package?\n" }, { "from": "gpt", "solution": "Subtract the price of a surfing adventure package from the price of a sailing trip package.\n\n$480 - $367 = $113\n\nA sailing trip package costs $113 more than a surfing adventure package.", "answer": "113", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| deep-sea fishing package | $964 |\n| sky-diving adventure package | $121 |\n| sailing trip package | $480 |\n| surfing adventure package | $367 |\n| camping adventure package | $951 |\n| whale-watching adventure package | $833 |" } ] }, { "id": "33833", "image": "33833.png", "conversations": [ { "from": "human", "question": "Trudy, who rents properties for a living, measures all the offices in a building she is renting. How many offices are at least 40 square meters but less than 50 square meters?\n" }, { "from": "gpt", "solution": "Count all the leaves in the row with stem 4.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 offices are at least 40 square meters but less than 50 square meters.", "answer": "2", "table": "**Office sizes (square meters)**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 2, 3 |\n| 3 | 0, 7 |\n| 4 | 9, 9 |\n| 5 | |\n| 6 | 6 |\n| 7 | 0 |" } ] }, { "id": "33834", "image": "33834.png", "conversations": [ { "from": "human", "question": "Some friends discussed the sizes of their coin collections. Who has the fewest coins?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 24.\n\nNow find the corresponding name. Dale corresponds to 24.", "answer": "Dale", "table": "**Coin collections**\n\n| Name | Number of coins |\n| --- | --- |\n| Sam | 28 |\n| Antonio | 25 |\n| Nora | 29 |\n| Dale | 24 |" } ] }, { "id": "33850", "image": "33850.png", "conversations": [ { "from": "human", "question": "An employee at the craft store counted the number of red buttons in each bag of mixed buttons. What is the largest number of red buttons?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 5.\n\nNow find the highest leaf in the last row. The highest leaf is 9.\n\nThe largest number of red buttons has a stem of 5 and a leaf of 9. Write the stem first, then the leaf: 59.\n\nThe largest number of red buttons is 59 red buttons.", "answer": "59", "table": "**Red buttons per bag**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 3, 5 |\n| 3 | |\n| 4 | 2, 2, 3 |\n| 5 | 6, 8, 9 |" } ] }, { "id": "33854", "image": "33854.png", "conversations": [ { "from": "human", "question": "Dr. Lin, a pediatrician, weighed all the children who recently visited her office. How many children weighed exactly 30 pounds?\n" }, { "from": "gpt", "solution": "For the number 30, the stem is 3, and the leaf is 0. Find the row where the stem is 3. In that row, count all the leaves equal to 0.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 children weighed exactly 30 pounds.", "answer": "4", "table": "**Children's weights (lbs)**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 0, 0, 0, 0, 4, 5, 7 |\n| 4 | 1, 1, 1, 3, 4, 8, 9 |\n| 5 | 4, 5, 6, 6, 8, 9, 9 |\n| 6 | 2, 5, 8 |" } ] }, { "id": "33855", "image": "33855.png", "conversations": [ { "from": "human", "question": "A publisher invited authors to write stories for a special anthology. How many authors wrote more than 3 stories?\n" }, { "from": "gpt", "solution": "Find the rows for 4, 5, and 6 stories. Add the frequencies for these rows.\n\nAdd:\n\n13 + 12 + 20 = 45\n\n45 authors wrote more than 3 stories.", "answer": "45", "table": "**Writing stories**\n\n| Stories written | Frequency |\n| --- | --- |\n| 1 | 3 |\n| 2 | 4 |\n| 3 | 14 |\n| 4 | 13 |\n| 5 | 12 |\n| 6 | 20 |" } ] }, { "id": "33856", "image": "33856.png", "conversations": [ { "from": "human", "question": "Carly wrote down how many spelling words she practiced each day. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n10, 9, 7, 9, 10\n\nFirst, arrange the numbers from least to greatest:\n\n7, 9, 9, 10, 10\n\nNow find the number in the middle.\n\n7, 9, 9, 10, 10\n\nThe number in the middle is 9.\n\nThe median is 9.", "answer": "9", "table": "**Spelling words practiced**\n\n| Day | Number of spelling words |\n| --- | --- |\n| Tuesday | 10 |\n| Wednesday | 9 |\n| Thursday | 7 |\n| Friday | 9 |\n| Saturday | 10 |" } ] }, { "id": "33869", "image": "33869.png", "conversations": [ { "from": "human", "question": "Each year, the campers at Christina's summer camp try to set that summer's record for finishing the obstacle course as quickly as possible. According to the table, what was the rate of change between 2014 and 2015?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{28 minutes - 24 minutes}{2015 - 2014}\n = \\frac{28 minutes - 24 minutes}{1 year}\n = \\frac{4 minutes}{1 year}\n = 4 minutes per year\nThe rate of change between 2014 and 2015 was 4 minutes per year.", "answer": "4", "table": "**Record obstacle course completion times**\n\n| Year | Record time (minutes) |\n| --- | --- |\n| 2014 | 24 |\n| 2015 | 28 |\n| 2016 | 22 |\n| 2017 | 23 |\n| 2018 | 27 |" } ] }, { "id": "33880", "image": "33880.png", "conversations": [ { "from": "human", "question": "Some friends discussed the sizes of their coin collections. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 5, 10, 6, 9\n\nFirst, arrange the numbers from least to greatest:\n\n5, 6, 7, 9, 10\n\nNow find the number in the middle.\n\n5, 6, 7, 9, 10\n\nThe number in the middle is 7.\n\nThe median is 7.", "answer": "7", "table": "**Coin collections**\n\n| Name | Number of coins |\n| --- | --- |\n| Ellie | 7 |\n| Zachary | 5 |\n| Grace | 10 |\n| Justin | 6 |\n| Aisha | 9 |" } ] }, { "id": "33883", "image": "33883.png", "conversations": [ { "from": "human", "question": "Look at this table. Is this relation a function?\n" }, { "from": "gpt", "solution": "Look at the x-values in the table.\n\nEach of the x-values is paired with only one y-value, so the relation is a function.", "answer": "yes", "table": "| x | y |\n| --- | --- |\n| 5 | 11 |\n| 15 | 3 |\n| 4 | 14 |\n| 17 | 9 |" } ] }, { "id": "33885", "image": "33885.png", "conversations": [ { "from": "human", "question": "The Spanish club made a table showing the ages of its members. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n11, 12, 10, 10, 8, 7, 7, 8\n\nFirst, find the greatest number. The greatest number is 12.\n\nNext, find the least number. The least number is 7.\n\nSubtract the least number from the greatest number:\n\n12 − 7 = 5\n\nThe range is 5.", "answer": "5", "table": "**Club members' ages**\n\n| Name | Age (years) |\n| --- | --- |\n| Tucker | 11 |\n| Arianna | 12 |\n| Lucas | 10 |\n| Mariana | 10 |\n| Katy | 8 |\n| Emmett | 7 |\n| Helen | 7 |\n| Dakota | 8 |" } ] }, { "id": "33886", "image": "33886.png", "conversations": [ { "from": "human", "question": "For an assignment, Sandeep looked at which countries got the most Nobel Prizes in various decades. How many more Nobel Prize winners did Germany have in the 1980s than in the 1970s?\n" }, { "from": "gpt", "solution": "Find the Germany row. Find the numbers in this row for 1980 s and 1970 s.\n\n1980s: 11\n1970s: 9\n\nNow subtract:\n\n11 − 9 = 2\n\nGermany had 2 more Nobel Prize winners in the 1980 s than in the 1970 s.", "answer": "2", "table": "**Nobel Prize winners**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 1970s | 1980s |\n| Canada | 2 | 3 |\n| Germany | 9 | 11 |\n| Holland | 2 | 2 |\n| France | 3 | 5 |" } ] }, { "id": "33899", "image": "33899.png", "conversations": [ { "from": "human", "question": "Cindy is shopping for a new bicycle. She is most interested in color and type of tires. What is the probability that a randomly selected bike has road bike tires and is green? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the bike has road bike tires\" and B be the event \"the bike is green\".\nTo find the probability that a bike has road bike tires and is green, first identify the sample space and the event.\nThe outcomes in the sample space are the different bikes. Each bike is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the bike has road bike tires and is green\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the bike has road bike tires and is green\", so look at the table to see how many bikes have road bike tires and are a green.\nThe number of bikes that have road bike tires and are a green is 4.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of bikes.\n6 + 4 + 4 + 6 = 20\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{4}{20}\n = \\frac{1}{5}\nThe probability that a bike has road bike tires and is green is \\frac{1}{5}.", "answer": "1/5", "table": "| | Red | Green |\n| --- | --- | --- |\n| Road bike tires | 6 | 4 |\n| Mountain bike tires | 4 | 6 |" } ] }, { "id": "33903", "image": "33903.png", "conversations": [ { "from": "human", "question": "How much money does Connor need to buy a mechanical pencil and a bright yellow highlighter?\n" }, { "from": "gpt", "solution": "Add the price of a mechanical pencil and the price of a bright yellow highlighter:\n\n$0.06 + $0.01 = $0.07\n\nConnor needs $0.07.", "answer": "0.07", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| bright yellow highlighter | $0.01 |\n| thin green highlighter | $0.06 |\n| green colored pencil | $0.02 |\n| mechanical pencil | $0.06 |\n| small box of paper clips | $0.06 |\n| orange marker | $0.02 |" } ] }, { "id": "33907", "image": "33907.png", "conversations": [ { "from": "human", "question": "Each tool box has 2 tape measures. How many tape measures are in 5 tool boxes?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 10 tape measures in 5 tool boxes.", "answer": "10", "table": "| Number of tool boxes | Number of tape measures |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | 6 |\n| 4 | 8 |\n| 5 | ? |" } ] }, { "id": "33908", "image": "33908.png", "conversations": [ { "from": "human", "question": "To figure out how many vacation days he had left to use, Darnell looked over his old calendars to figure out how many days of vacation he had taken each year. According to the table, what was the rate of change between 2009 and 2010?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{20 vacation days - 16 vacation days}{2010 - 2009}\n = \\frac{20 vacation days - 16 vacation days}{1 year}\n = \\frac{4 vacation days}{1 year}\n = 4 vacation days per year\nThe rate of change between 2009 and 2010 was 4 vacation days per year.", "answer": "4", "table": "**Vacation days taken by Darnell**\n\n| Year | Vacation days |\n| --- | --- |\n| 2009 | 16 |\n| 2010 | 20 |\n| 2011 | 15 |\n| 2012 | 17 |\n| 2013 | 16 |" } ] }, { "id": "33909", "image": "33909.png", "conversations": [ { "from": "human", "question": "Some teachers compared how many years they have been teaching. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n8, 4, 4, 6, 5, 9, 6\n\nFirst, count how many numbers are in the group.\n\nThere are 7 numbers.\n\nNow add all the numbers together:\n\n8 + 4 + 4 + 6 + 5 + 9 + 6 = 42\n\nNow divide the sum by the number of numbers:\n\n42 ÷ 7 = 6\n\nThe mean is 6.", "answer": "6", "table": "**Years of teaching**\n\n| Teacher | Number of years |\n| --- | --- |\n| Mr. Nakamura | 8 |\n| Mrs. Ramirez | 4 |\n| Mr. Gutierrez | 4 |\n| Mr. Park | 6 |\n| Miss Lim | 5 |\n| Ms. Chan | 9 |\n| Mr. Boone | 6 |" } ] }, { "id": "33913", "image": "33913.png", "conversations": [ { "from": "human", "question": "Leo has $15.00. How much money will Leo have left if he buys a cheese pizza and pasta with white sauce?\n" }, { "from": "gpt", "solution": "Find the total cost of a cheese pizza and pasta with white sauce.\n\n$6.00 + $6.00 = $12.00\n\nNow subtract the total cost from the starting amount.\n\n$15.00 - $12.00 = $3.00\n\nLeo will have $3.00 left.", "answer": "3", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| cheese pizza | $6.00 |\n| spaghetti and meatballs | $5.00 |\n| pasta with white sauce | $6.00 |\n| steamed broccoli | $5.00 |\n| grilled eggplant | $8.00 |\n| green salad | $3.00 |" } ] }, { "id": "33916", "image": "33916.png", "conversations": [ { "from": "human", "question": "The members of the track team compared how many miles they ran last week. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n5, 9, 9, 2, 4, 3\n\nFirst, find the greatest number. The greatest number is 9.\n\nNext, find the least number. The least number is 2.\n\nSubtract the least number from the greatest number:\n\n9 − 2 = 7\n\nThe range is 7.", "answer": "7", "table": "**Running miles**\n\n| Name | Miles |\n| --- | --- |\n| Bobby | 5 |\n| Leroy | 9 |\n| Jackson | 9 |\n| Cindy | 2 |\n| Haley | 4 |\n| Franklin | 3 |" } ] }, { "id": "33918", "image": "33918.png", "conversations": [ { "from": "human", "question": "A county agency recorded the money donated to several charitable causes over time. Which cause raised more money in March, education or hunger?\n" }, { "from": "gpt", "solution": "Find the March column. Compare the numbers in this column for education and hunger.\n\n$16.00 is more than $7.00. In March, more money was raised for hunger.", "answer": "hunger", "table": "**Donations received**\n\n| Cause | March | April |\n| --- | --- | --- |\n| Education | $7 | $4 |\n| Medical research | $14 | $12 |\n| Hunger | $16 | $19 |\n| Parks | $18 | $4 |" } ] }, { "id": "33920", "image": "33920.png", "conversations": [ { "from": "human", "question": "How much money does Joseph need to buy 3 European vacation packages and 7 African safari vacation packages?\n" }, { "from": "gpt", "solution": "Find the cost of 3 European vacation packages.\n\n$6,287.00 × 3 = $18,861.00\n\nFind the cost of 7 African safari vacation packages.\n\n$3,800.00 × 7 = $26,600.00\n\nNow find the total cost.\n\n$18,861.00 + $26,600.00 = $45,461.00\n\nJoseph needs $45,461.00.", "answer": "45,461", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| Australian vacation package | $4,304.00 |\n| European vacation package | $6,287.00 |\n| Jamaican vacation package | $5,582.00 |\n| African safari vacation package | $3,800.00 |" } ] }, { "id": "33921", "image": "33921.png", "conversations": [ { "from": "human", "question": "Wendy, a soup chef at a new restaurant, kept track of the first week's soup sales. What is the probability that a randomly selected soup was chicken noodle and was ordered in a cup? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the soup was chicken noodle\" and B be the event \"the soup was ordered in a cup\".\nTo find the probability that a soup was chicken noodle and was ordered in a cup, first identify the sample space and the event.\nThe outcomes in the sample space are the different soups. Each soup is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the soup was chicken noodle and was ordered in a cup\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the soup was chicken noodle and was ordered in a cup\", so look at the table to see how many soups were chicken noodle and were ordered in a cup.\nThe number of soups that were chicken noodle and were ordered in a cup is 3.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of soups.\n9 + 3 + 3 + 3 = 18\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{3}{18}\n = \\frac{1}{6}\nThe probability that a soup was chicken noodle and was ordered in a cup is \\frac{1}{6}.", "answer": "1/6", "table": "| | Cup | Bowl |\n| --- | --- | --- |\n| Split pea | 9 | 3 |\n| Chicken noodle | 3 | 3 |" } ] }, { "id": "33923", "image": "33923.png", "conversations": [ { "from": "human", "question": "Omar counted the number of problems on each of his tests. How many tests had fewer than 80 problems?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 3, 4, 5, 6, and 7.\n\nYou counted 18 leaves, which are blue in the stem-and-leaf plot above. 18 tests had fewer than 80 problems.", "answer": "18", "table": "**Problems per test**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 1, 2, 6, 9 |\n| 4 | 1, 4, 4, 6 |\n| 5 | 0, 6, 7 |\n| 6 | 2, 7, 7, 8 |\n| 7 | 6, 7, 8 |" } ] }, { "id": "33926", "image": "33926.png", "conversations": [ { "from": "human", "question": "This is Zeke's complete financial record for January. How much money did Zeke have after he went bowling?\n" }, { "from": "gpt", "solution": "Look at the bowling row. The available funds were $318.85. So, Zeke had $318.85 after he went bowling.\n", "answer": "318.85", "table": "| Date | Description | Received | Expenses | Available Funds |\n| --- | --- | --- | --- | --- |\n| | Balance: end of December | | | $330.10 |\n| 1/12 | bowling | | $11.25 | $318.85 |\n| 1/23 | chocolate bar | | $2.30 | $316.55 |\n| 1/26 | shoveling snow | $20.00 | | $336.55 |" } ] }, { "id": "33937", "image": "33937.png", "conversations": [ { "from": "human", "question": "Dr. Hoffman, a zoo director, researched ticket prices at other zoos around the country. How much more does a child ticket cost at the Atlanta Zoo than at the Southern Nevada Zoo?\n" }, { "from": "gpt", "solution": "Find the Child column. Find the numbers in this column for Atlanta and Southern Nevada.\n\nAtlanta: $14.00\nSouthern Nevada: $6.00\n\nNow subtract:\n\n$14.00 − $6.00 = $8.00\n\nA child cost $8 more at the Atlanta Zoo than at the Southern Nevada Zoo.", "answer": "8", "table": "**Zoo ticket prices**\n\n| Zoo | Adult | Child |\n| --- | --- | --- |\n| Bronx | $15 | $11 |\n| Minnesota | $16 | $10 |\n| San Francisco | $15 | $9 |\n| Atlanta | $19 | $14 |\n| Southern Nevada | $8 | $6 |" } ] }, { "id": "33938", "image": "33938.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $1,180, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $1,180, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $640 | 14,800 | 4,100 |\n| $820 | 12,700 | 8,200 |\n| $1,000 | 10,600 | 12,300 |\n| $1,180 | 8,500 | 16,400 |\n| $1,360 | 6,400 | 20,500 |" } ] }, { "id": "33943", "image": "33943.png", "conversations": [ { "from": "human", "question": "Bruce wants to buy 5 kilograms of Pink Lady apples and 5 kilograms of Macintosh apples. How much will he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the Pink Lady apples. Multiply:\n\n$0.47 × 5 = $2.35\n\nFind the cost of the Macintosh apples. Multiply:\n\n$0.69 × 5 = $3.45\n\nNow find the total cost by adding:\n\n$2.35 + $3.45 = $5.80\n\nHe will spend $5.80.", "answer": "5.80", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| Pink Lady apples | $0.47 per kilogram |\n| Gala apples | $0.81 per kilogram |\n| Fuji apples | $0.78 per kilogram |\n| Cameo apples | $0.84 per kilogram |\n| Macintosh apples | $0.69 per kilogram |\n| Washington apples | $0.69 per kilogram |" } ] }, { "id": "33945", "image": "33945.png", "conversations": [ { "from": "human", "question": "The bird-watching club recorded how many birds its members saw each month. How many more birds did the club see in April than in March?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nApril: 6,200\nMarch: 5,138\n\nNow subtract: 6,200 - 5,138 = 1,062.\n\nThe club saw 1,062 more birds in April.", "answer": "1,062", "table": "**Number of birds seen**\n\n| Month | Number of birds |\n| --- | --- |\n| February | 7,878 |\n| March | 5,138 |\n| April | 6,200 |" } ] }, { "id": "33954", "image": "33954.png", "conversations": [ { "from": "human", "question": "Look at this table. Is this relation a function?\n" }, { "from": "gpt", "solution": "Look at the x-values in the table.\n\nThe x-value 7 is paired with multiple y-values, so the relation is not a function.", "answer": "no", "table": "| x | y |\n| --- | --- |\n| 7 | 10 |\n| 7 | 17 |\n| 16 | 13 |" } ] }, { "id": "33956", "image": "33956.png", "conversations": [ { "from": "human", "question": "The owner of a plant nursery wrote down the number of roses on each bush. How many bushes have at least 41 roses?\n" }, { "from": "gpt", "solution": "Find the row with stem 4. Count all the leaves greater than or equal to 1.\n\nCount all the leaves in the rows with stems 5, 6, 7, and 8.\n\nYou counted 9 leaves, which are blue in the stem-and-leaf plots above. 9 bushes have at least 41 roses.", "answer": "9", "table": "**Roses per bush**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 0, 0, 1, 4 |\n| 5 | 0, 8 |\n| 6 | 8 |\n| 7 | 6, 8 |\n| 8 | 7, 7 |" } ] }, { "id": "33957", "image": "33957.png", "conversations": [ { "from": "human", "question": "How much money does Harper need to buy 7 pink sweaters and 9 pairs of brown pants?\n" }, { "from": "gpt", "solution": "Find the cost of 7 pink sweaters.\n\n$28.60 × 7 = $200.20\n\nFind the cost of 9 pairs of brown pants.\n\n$26.55 × 9 = $238.95\n\nNow find the total cost.\n\n$200.20 + $238.95 = $439.15\n\nHarper needs $439.15.", "answer": "439.15", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pink sweater | $28.60 |\n| pair of brown pants | $26.55 |\n| green dress | $48.08 |\n| pair of shoes | $24.55 |\n| purple dress | $37.90 |" } ] }, { "id": "33970", "image": "33970.png", "conversations": [ { "from": "human", "question": "How much money does Melissa need to buy a cheeseburger and a slice of peach pie?\n" }, { "from": "gpt", "solution": "Add the price of a cheeseburger and the price of a slice of peach pie:\n\n$4.56 + $3.23 = $7.79\n\nMelissa needs $7.79.", "answer": "7.79", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| slice of peach pie | $3.23 |\n| cheeseburger | $4.56 |\n| bowl of tomato soup | $1.31 |\n| bag of potato chips | $1.55 |" } ] }, { "id": "33979", "image": "33979.png", "conversations": [ { "from": "human", "question": "A concession stand worker at the movie theater looked up how many bags of popcorn were sold in the past 7 days. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n59, 59, 71, 66, 66, 71, 59\n\nFirst, arrange the numbers from least to greatest:\n\n59, 59, 59, 66, 66, 71, 71\n\nNow count how many times each number appears.\n\n59 appears 3 times.\n66 appears 2 times.\n71 appears 2 times.\n\nThe number that appears most often is 59.\n\nThe mode is 59.", "answer": "59", "table": "**Bags of popcorn sold**\n\n| Day | Number of bags of popcorn |\n| --- | --- |\n| Monday | 59 |\n| Tuesday | 59 |\n| Wednesday | 71 |\n| Thursday | 66 |\n| Friday | 66 |\n| Saturday | 71 |\n| Sunday | 59 |" } ] }, { "id": "33980", "image": "33980.png", "conversations": [ { "from": "human", "question": "Gabby's classmates revealed how many science articles they read. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 10, 6, 2, 3, 9, 9\n\nFirst, find the greatest number. The greatest number is 10.\n\nNext, find the least number. The least number is 2.\n\nSubtract the least number from the greatest number:\n\n10 − 2 = 8\n\nThe range is 8.", "answer": "8", "table": "**Science articles read**\n\n| Name | Number of science articles |\n| --- | --- |\n| Gabby | 9 |\n| Lacey | 10 |\n| Tommy | 6 |\n| Alexa | 2 |\n| Josiah | 3 |\n| Brian | 9 |\n| Dean | 9 |" } ] }, { "id": "33981", "image": "33981.png", "conversations": [ { "from": "human", "question": "Mr. Morrison, a P.E. teacher, wrote down how much weight each of his students could lift. How many people lifted at least 28 pounds?\n" }, { "from": "gpt", "solution": "Find the row with stem 2. Count all the leaves greater than or equal to 8.\n\nCount all the leaves in the rows with stems 3, 4, 5, 6, 7, and 8.\n\nYou counted 20 leaves, which are blue in the stem-and-leaf plots above. 20 people lifted at least 28 pounds.", "answer": "20", "table": "**Weight lifting results (lbs)**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 3, 6, 7, 8, 8 |\n| 3 | 0, 7, 9 |\n| 4 | 1, 5 |\n| 5 | |\n| 6 | 2, 3, 3, 4, 8, 8 |\n| 7 | 3, 4, 4, 7, 9 |\n| 8 | 5, 5 |" } ] }, { "id": "33983", "image": "33983.png", "conversations": [ { "from": "human", "question": "Allenville University offers six applied majors and monitors the number of students in each. What fraction of the students in applied majors are majoring in computer science? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many students are majoring in computer science.\n\n240\n\nFind how many total students are in all the applied majors.\n\n240 + 430 + 490 + 60 + 160 + 120 = 1,500\n\nDivide 240 by1,500.\n\n\\frac{240}{1,500}\n\nReduce the fraction.\n\n\\frac{240}{1,500} → \\frac{4}{25}\n\n\\frac{4}{25} of students are majoring in computer science.", "answer": "4/25", "table": "**Students in applied majors**\n\n| School | Intake |\n| --- | --- |\n| Computer science | 240 |\n| Mechanical engineering | 430 |\n| Architecture | 490 |\n| Industrial design | 60 |\n| Electronics | 160 |\n| Civil engineering | 120 |" } ] }, { "id": "33987", "image": "33987.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{11 - 14}{1 - 0}\n = \\frac{-3}{1}\n = -3\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{5 - 11}{2 - 1}\n = \\frac{-6}{1}\n = -6\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 0 | 14 |\n| 1 | 11 |\n| 2 | 5 |" } ] }, { "id": "33990", "image": "33990.png", "conversations": [ { "from": "human", "question": "Fans of the Cedarburg baseball team compared the number of games won by their team each year. According to the table, what was the rate of change between 2012 and 2013?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{1 game - 10 games}{2013 - 2012}\n = \\frac{1 game - 10 games}{1 year}\n = \\frac{-9 games}{1 year}\n = -9 games per year\nThe rate of change between 2012 and 2013 was - 9 games per year.", "answer": "-9", "table": "**Games won by the Cedarburg baseball team**\n\n| Year | Games won |\n| --- | --- |\n| 2010 | 5 |\n| 2011 | 18 |\n| 2012 | 10 |\n| 2013 | 1 |\n| 2014 | 4 |" } ] }, { "id": "33996", "image": "33996.png", "conversations": [ { "from": "human", "question": "A law firm in Lakewood kept track of how many hours were billed by each partner last year. What fraction of the hours were billed by Rafi? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many hours were billed by Rafi.\n\n630\n\nFind how many hours were billed in total.\n\n630 + 980 + 810 + 910 = 3,330\n\nDivide 630 by 3,330.\n\n\\frac{630}{3,330}\n\nReduce the fraction.\n\n\\frac{630}{3,330} → \\frac{7}{37}\n\n\\frac{7}{37} of hours were billed by Rafi.", "answer": "7/37", "table": "**Law firm hours billed**\n\n| Partner | Hours billed |\n| --- | --- |\n| Rafi | 630 |\n| Suzie | 980 |\n| Peter | 810 |\n| Marie | 910 |" } ] }, { "id": "33998", "image": "33998.png", "conversations": [ { "from": "human", "question": "How much money does Lena need to buy a CD player and a calculator?\n" }, { "from": "gpt", "solution": "Add the price of a CD player and the price of a calculator:\n\n$26.92 + $72.20 = $99.12\n\nLena needs $99.12.", "answer": "99.12", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| computer keyboard | $36.82 |\n| DVD | $13.00 |\n| blender | $11.63 |\n| DVD player | $75.80 |\n| calculator | $72.20 |\n| CD player | $26.92 |" } ] }, { "id": "34001", "image": "34001.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which event begins at 9.00 A.M.?\n" }, { "from": "gpt", "solution": "Find 9:00 A. M. on the schedule. The train lecture begins at 9:00 A. M.", "answer": "train lecture", "table": "**Science museum schedule**\n\n| Event | Begin | End |\n| --- | --- | --- |\n| train lecture | 9:00 A.M. | 9:40 A.M. |\n| weather demonstration | 9:05 A.M. | 10:20 A.M. |\n| gravity lecture | 10:05 A.M. | 11:55 A.M. |\n| plant demonstration | 11:25 A.M. | 12:20 P.M. |\n| electricity demonstration | 11:50 A.M. | 12:45 P.M. |\n| dinosaur show | 12:05 P.M. | 1:55 P.M. |\n| reptile show | 1:35 P.M. | 3:35 P.M. |" } ] }, { "id": "34011", "image": "34011.png", "conversations": [ { "from": "human", "question": "A farmer wrote down how many kilograms of cherries were sold in the past 4 days. On which day were the most kilograms of cherries sold?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 56.\n\nNow find the corresponding day. Tuesday corresponds to 56.", "answer": "Tuesday", "table": "**Cherries sold**\n\n| Day | Kilograms |\n| --- | --- |\n| Saturday | 54 |\n| Sunday | 51 |\n| Monday | 52 |\n| Tuesday | 56 |" } ] }, { "id": "34016", "image": "34016.png", "conversations": [ { "from": "human", "question": "In science class, Avery is measuring the temperature of different chemical mixtures. The temperatures of two mixtures are shown in the table. Which mixture's temperature is closest to zero?\n" }, { "from": "gpt", "solution": "A positive number means the temperature is above zero. A negative number means the temperature is below zero.\nTo find the temperature closest to zero, use absolute value. The absolute value of a temperature tells you how far it is from zero.\nBromine mixture: |-4| = 4\nAcetone mixture: |5| = 5\nThe temperature of the bromine mixture is closest to zero. It is only 4 degrees below zero.", "answer": "bromine mixture", "table": "| Mixture | Temperature (°C) |\n| --- | --- |\n| Bromine mixture | -4 |\n| Acetone mixture | 5 |" } ] }, { "id": "34019", "image": "34019.png", "conversations": [ { "from": "human", "question": "Each toy bin has 10 green blocks. How many green blocks are in 3 toy bins?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 30 green blocks in 3 toy bins.", "answer": "30", "table": "| Number of toy bins | Number of green blocks |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | ? |" } ] }, { "id": "34025", "image": "34025.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{6 - 16}{7 - 6}\n = \\frac{-10}{1}\n = -10\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{0 - 6}{8 - 7}\n = \\frac{-6}{1}\n = -6\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 6 | 16 |\n| 7 | 6 |\n| 8 | 0 |" } ] }, { "id": "34026", "image": "34026.png", "conversations": [ { "from": "human", "question": "Dylan has two dogs, Sprinkles and Champ. He is concerned because Sprinkles keeps eating Champ's food. Dylan asks their vet how much each dog's weight has changed since their last visit. Which dog's weight has changed the most?\n" }, { "from": "gpt", "solution": "To find which dog's weight changed the most, use absolute value. Absolute value tells you how much each dog's weight has changed.\nSprinkles: |5| = 5\nChamp: |-6| = 6\nChamp's weight has changed the most. He has lost 6 ounces.", "answer": "Champ", "table": "| Dog | Weight change (oz.) |\n| --- | --- |\n| Sprinkles | 5 |\n| Champ | -6 |" } ] }, { "id": "34032", "image": "34032.png", "conversations": [ { "from": "human", "question": "Each necklace has 2 rubies. How many rubies are on 6 necklaces?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 12 rubies on 6 necklaces.", "answer": "12", "table": "| Number of necklaces | Number of rubies |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | 6 |\n| 4 | 8 |\n| 5 | 10 |\n| 6 | ? |" } ] }, { "id": "34040", "image": "34040.png", "conversations": [ { "from": "human", "question": "Daniel graphed the temperature at noon for 7 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 8, 7, 4, 5, 5, 9\n\nFirst, find the greatest number. The greatest number is 9.\n\nNext, find the least number. The least number is 4.\n\nSubtract the least number from the greatest number:\n\n9 − 4 = 5\n\nThe range is 5.", "answer": "5", "table": "**Temperature at noon**\n\n| Day | Temperature (°C) |\n| --- | --- |\n| Tuesday | 6 |\n| Wednesday | 8 |\n| Thursday | 7 |\n| Friday | 4 |\n| Saturday | 5 |\n| Sunday | 5 |\n| Monday | 9 |" } ] }, { "id": "34043", "image": "34043.png", "conversations": [ { "from": "human", "question": "Each barn has 2 pigs. How many pigs are in 6 barns?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 12 pigs in 6 barns.", "answer": "12", "table": "| Number of barns | Number of pigs |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | 6 |\n| 4 | 8 |\n| 5 | 10 |\n| 6 | ? |" } ] }, { "id": "34044", "image": "34044.png", "conversations": [ { "from": "human", "question": "Darell, a doctor's office receptionist, tracked the average waiting time at the office each month. According to the table, what was the rate of change between May and June?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{27 minutes - 30 minutes}{1 month}\n = \\frac{-3 minutes}{1 month}\n = -3 minutes per month\nThe rate of change between May and June was - 3 minutes per month.", "answer": "-3", "table": "**Average waiting time at a doctor's office**\n\n| Month | Waiting time (minutes) |\n| --- | --- |\n| March | 23 |\n| April | 33 |\n| May | 30 |\n| June | 27 |\n| July | 30 |" } ] }, { "id": "34049", "image": "34049.png", "conversations": [ { "from": "human", "question": "An administrator at the Department of Motor Vehicles (DMV) tracked the average wait time from month to month. According to the table, what was the rate of change between April and May?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{17 minutes - 18 minutes}{1 month}\n = \\frac{-1 minutes}{1 month}\n = -1 minutes per month\nThe rate of change between April and May was - 1 minutes per month.", "answer": "-1", "table": "**Average waiting time at the DMV**\n\n| Month | Waiting time (minutes) |\n| --- | --- |\n| March | 13 |\n| April | 18 |\n| May | 17 |\n| June | 17 |\n| July | 16 |" } ] }, { "id": "34050", "image": "34050.png", "conversations": [ { "from": "human", "question": "The architecture student counted the number of bricks in each building in his neighborhood. How many buildings have at least 22 bricks but fewer than 77 bricks?\n" }, { "from": "gpt", "solution": "Find the row with stem 2. Count all the leaves greater than or equal to 2.\n\nCount all the leaves in the rows with stems 3, 4, 5, and 6.\n\nIn the row with stem 7, count all the leaves less than 7.\n\nYou counted 17 leaves, which are blue in the stem-and-leaf plots above. 17 buildings have at least 22 bricks but fewer than 77 bricks.", "answer": "17", "table": "**Bricks per building**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 4, 7, 9 |\n| 3 | 5, 6 |\n| 4 | 0, 2, 9 |\n| 5 | 3, 8 |\n| 6 | 4, 6, 6, 9 |\n| 7 | 1, 4, 5 |" } ] }, { "id": "34052", "image": "34052.png", "conversations": [ { "from": "human", "question": "How much more does a bottle of mustard cost than a jar of tomato sauce?\n" }, { "from": "gpt", "solution": "Subtract the price of a jar of tomato sauce from the price of a bottle of mustard.\n\n$0.88 - $0.64 = $0.24\n\nA bottle of mustard costs $0.24 more than a jar of tomato sauce.", "answer": "0.24", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| jar of tomato sauce | $0.64 |\n| bottle of ketchup | $0.76 |\n| bottle of hot sauce | $0.85 |\n| bottle of vinegar | $0.73 |\n| bottle of soy sauce | $0.82 |\n| bottle of mustard | $0.88 |" } ] }, { "id": "34058", "image": "34058.png", "conversations": [ { "from": "human", "question": "While looking through an almanac at the library, Annie noticed some data showing the population density of various states. How many people per square mile lived in South Dakota in 2000?\n" }, { "from": "gpt", "solution": "First, find the row for South Dakota. Then find the number in the 2000 column.\n\nThis number is 10. In 2000, South Dakota had 10 people per square mile.", "answer": "10", "table": "**Population per square mile**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| State | 1990 | 2000 |\n| South Dakota | 9 | 10 |\n| Idaho | 12 | 15 |\n| Nevada | 10 | 18 |" } ] }, { "id": "34061", "image": "34061.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Porter just missed the 12.45 P.M. bus at the pizza place. How long does he have to wait until the next bus?\n" }, { "from": "gpt", "solution": "Find 12:45 P. M. in the row for the pizza place.\n\nLook for the next bus in that row.\n\nThe next bus is at 1:00 P. M.\n\nFind the elapsed time. The elapsed time is 15 minutes.", "answer": "15 minutes", "table": "**Hotel shuttle bus schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 | Column 5 |\n| --- | --- | --- | --- | --- |\n| college campus | 10:00 A.M. | 10:15 A.M. | 10:45 A.M. | 11:00 A.M. |\n| football stadium | 11:00 A.M. | 11:15 A.M. | 11:45 A.M. | 12:00 P.M. |\n| pizza place | 12:00 P.M. | 12:15 P.M. | 12:45 P.M. | 1:00 P.M. |\n| softball field | 1:00 P.M. | 1:15 P.M. | 1:45 P.M. | 2:00 P.M. |" } ] }, { "id": "34063", "image": "34063.png", "conversations": [ { "from": "human", "question": "How much money does Shannon need to buy 9 noisemakers?\n" }, { "from": "gpt", "solution": "Find the total cost of 9 noisemakers by multiplying 9 times the price of a noisemaker.\n\n$0.42 × 9 = $3.78\n\nShannon needs $3.78.", "answer": "3.78", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| party hat | $0.52 |\n| bouncy ball | $0.21 |\n| noisemaker | $0.42 |\n| birthday balloon | $0.93 |\n| kazoo | $0.76 |\n| package of purple streamers | $0.32 |" } ] }, { "id": "34065", "image": "34065.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which class begins at 5.50 P.M.?\n" }, { "from": "gpt", "solution": "Find 5:50 P. M. on the schedule. The advanced ballet class begins at 5:50 P. M.", "answer": "advanced ballet class", "table": "**Dance studio schedule**\n\n| Class | Begin | End |\n| --- | --- | --- |\n| hip hop dance | 11:00 A.M. | 12:40 P.M. |\n| western dance | 12:50 P.M. | 2:30 P.M. |\n| tap dance | 2:35 P.M. | 3:50 P.M. |\n| jazz dance | 3:55 P.M. | 5:35 P.M. |\n| advanced ballet | 5:50 P.M. | 6:30 P.M. |\n| ballroom dance | 6:35 P.M. | 7:20 P.M. |" } ] }, { "id": "34068", "image": "34068.png", "conversations": [ { "from": "human", "question": "Justin's Candies has been studying how much chocolate people have been eating in different countries. Which country consumed less chocolate per capita in 2005, Australia or Sweden?\n" }, { "from": "gpt", "solution": "Find the 2005 column. Compare the numbers in this column for Australia and Sweden.\n\n5 is less than 7. Australia consumed less chocolate per capita in 2005.", "answer": "Australia", "table": "**Chocolate consumption per capita (kg)**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 2002 | 2005 |\n| Austria | 8 | 9 |\n| Australia | 4 | 5 |\n| Belgium | 8 | 11 |\n| Sweden | 8 | 7 |\n| Denmark | 9 | 8 |" } ] }, { "id": "34078", "image": "34078.png", "conversations": [ { "from": "human", "question": "The teachers at a middle school counted how many computers they had in their classrooms. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 2, 3, 4, 7, 2, 7\n\nFirst, arrange the numbers from least to greatest:\n\n2, 2, 3, 4, 7, 7, 7\n\nNow find the number in the middle.\n\n2, 2, 3, 4, 7, 7, 7\n\nThe number in the middle is 4.\n\nThe median is 4.", "answer": "4", "table": "**Computers in classrooms**\n\n| Teacher | Number of computers |\n| --- | --- |\n| Ms. Rojas | 7 |\n| Mrs. Rossi | 2 |\n| Miss Murphy | 3 |\n| Mr. Watson | 4 |\n| Ms. Cohen | 7 |\n| Mrs. Jansen | 2 |\n| Mr. Schmidt | 7 |" } ] }, { "id": "34080", "image": "34080.png", "conversations": [ { "from": "human", "question": "How much money does Katy need to buy a tube of toothpaste and a sewing kit?\n" }, { "from": "gpt", "solution": "Add the price of a tube of toothpaste and the price of a sewing kit:\n\n$3.48 + $3.12 = $6.60\n\nKaty needs $6.60.", "answer": "6.60", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| tube of toothpaste | $3.48 |\n| bottle of shampoo | $4.87 |\n| box of bandages | $2.37 |\n| bottle of mouthwash | $1.08 |\n| sewing kit | $3.12 |\n| package of dental floss | $1.59 |" } ] }, { "id": "34081", "image": "34081.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which class begins at 1.15 P.M.?\n" }, { "from": "gpt", "solution": "Find 1:15 P. M. on the schedule. Computer Graphics class begins at 1:15 P. M.", "answer": "Computer Graphics class", "table": "**Art teacher's schedule**\n\n| Class | Begin | End |\n| --- | --- | --- |\n| Advanced Art | 8:25 A.M. | 10:05 A.M. |\n| Sketching | 10:15 A.M. | 11:40 A.M. |\n| Architecture | 11:55 A.M. | 1:10 P.M. |\n| Computer Graphics | 1:15 P.M. | 2:30 P.M. |\n| Watercolor | 2:40 P.M. | 3:35 P.M. |" } ] }, { "id": "34093", "image": "34093.png", "conversations": [ { "from": "human", "question": "How much money does Shannon need to buy a blueberry muffin, a muffin, and a chocolate-chip cookie?\n" }, { "from": "gpt", "solution": "Find the total cost of a blueberry muffin, a muffin, and a chocolate-chip cookie.\n\n$0.82 + $0.57 + $0.97 = $2.36\n\nShannon needs $2.36.", "answer": "2.36", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| muffin | $0.57 |\n| brownie | $0.57 |\n| chocolate-chip cookie | $0.97 |\n| ice cream cone | $0.97 |\n| cupcake | $0.82 |\n| blueberry muffin | $0.82 |" } ] }, { "id": "34097", "image": "34097.png", "conversations": [ { "from": "human", "question": "How much more does a winter jacket cost than a pair of sweat pants?\n" }, { "from": "gpt", "solution": "Subtract the price of a pair of sweat pants from the price of a winter jacket.\n\n$33.37 - $17.18 = $16.19\n\nA winter jacket costs $16.19 more than a pair of sweat pants.", "answer": "16.19", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| red sweater | $11.60 |\n| winter jacket | $33.37 |\n| pair of tennis shoes | $43.78 |\n| pair of jeans | $39.31 |\n| pair of sweat pants | $17.18 |" } ] }, { "id": "34098", "image": "34098.png", "conversations": [ { "from": "human", "question": "Some friends compared the sizes of their sticker collections. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 5, 10, 8, 5\n\nFirst, arrange the numbers from least to greatest:\n\n5, 5, 6, 8, 10\n\nNow find the number in the middle.\n\n5, 5, 6, 8, 10\n\nThe number in the middle is 6.\n\nThe median is 6.", "answer": "6", "table": "**Sticker collections**\n\n| Name | Number of stickers |\n| --- | --- |\n| Javier | 6 |\n| Lorenzo | 5 |\n| Tina | 10 |\n| Kyle | 8 |\n| Bridget | 5 |" } ] }, { "id": "34105", "image": "34105.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $1,180, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $1,180, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $700 | 16,900 | 20,000 |\n| $860 | 14,400 | 20,100 |\n| $1,020 | 11,900 | 20,200 |\n| $1,180 | 9,400 | 20,300 |\n| $1,340 | 6,900 | 20,400 |" } ] }, { "id": "34114", "image": "34114.png", "conversations": [ { "from": "human", "question": "How much money does Leah need to buy a butterfly stamp and a coyote stamp?\n" }, { "from": "gpt", "solution": "Add the price of a butterfly stamp and the price of a coyote stamp:\n\n$0.07 + $0.03 = $0.10\n\nLeah needs $0.10.", "answer": "0.10", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| butterfly stamp | $0.07 |\n| duck stamp | $0.01 |\n| tulip stamp | $0.07 |\n| airplane stamp | $0.07 |\n| robot stamp | $0.06 |\n| coyote stamp | $0.03 |" } ] }, { "id": "34122", "image": "34122.png", "conversations": [ { "from": "human", "question": "A food magazine published a listing of local restaurant ratings. How many restaurants were rated exactly 40 points?\n" }, { "from": "gpt", "solution": "For the number 40, the stem is 4, and the leaf is 0. Find the row where the stem is 4. In that row, count all the leaves equal to 0.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 restaurants were rated exactly 40 points.", "answer": "4", "table": "**Restaurant ratings**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 0, 3, 4, 4 |\n| 3 | 1, 8, 8 |\n| 4 | 0, 0, 0, 0, 3, 9 |\n| 5 | 0 |" } ] }, { "id": "34147", "image": "34147.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{12 - 10}{13 - 12}\n = \\frac{2}{1}\n = 2\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{15 - 12}{14 - 13}\n = \\frac{3}{1}\n = 3\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 12 | 10 |\n| 13 | 12 |\n| 14 | 15 |" } ] }, { "id": "34151", "image": "34151.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $595, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $595, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $195 | 22,300 | 13,700 |\n| $395 | 20,400 | 15,500 |\n| $595 | 18,500 | 17,300 |\n| $795 | 16,600 | 19,100 |\n| $995 | 14,700 | 20,900 |" } ] }, { "id": "34157", "image": "34157.png", "conversations": [ { "from": "human", "question": "Sadie has $1.59. Does she have enough to buy a glue stick and a box of staples?\n" }, { "from": "gpt", "solution": "Add the price of a glue stick and the price of a box of staples:\n\n$0.79 + $0.76 = $1.55\n\n$1.55 is less than $1.59. Sadie does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| box of staples | $0.76 |\n| glue stick | $0.79 |\n| silver glitter pen | $0.99 |\n| package of note cards | $0.62 |" } ] }, { "id": "34158", "image": "34158.png", "conversations": [ { "from": "human", "question": "Worried about going over his storage limit, Herman monitored the number of undeleted voicemail messages stored on his phone each day. According to the table, what was the rate of change between Tuesday and Wednesday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{15 voicemail messages - 11 voicemail messages}{1 day}\n = \\frac{4 voicemail messages}{1 day}\n = 4 voicemail messages per day\nThe rate of change between Tuesday and Wednesday was 4 voicemail messages per day.", "answer": "4", "table": "**Voicemail messages on Herman's phone**\n\n| Day | Voicemail messages |\n| --- | --- |\n| Sunday | 16 |\n| Monday | 6 |\n| Tuesday | 11 |\n| Wednesday | 15 |\n| Thursday | 19 |" } ] }, { "id": "34166", "image": "34166.png", "conversations": [ { "from": "human", "question": "An economist tracked the amount of per-capita aid sent from the U.S. to various countries during the 1900s. In 1975, how much more aid per capita did Algeria receive than Afghanistan?\n" }, { "from": "gpt", "solution": "Find the 1975 column. Find the numbers in this column for Algeria and Afghanistan.\n\nAlgeria: $11.00\nAfghanistan: $5.00\n\nNow subtract:\n\n$11.00 − $5.00 = $6.00\n\nIn 1975, Algeria received $6 more aid per capita than Afghanistan received.", "answer": "6", "table": "**Aid received per capita from the U.S.**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 1965 | 1975 |\n| Afghanistan | $5 | $5 |\n| Algeria | $12 | $11 |\n| Nepal | $2 | $3 |\n| Libya | $4 | $2 |" } ] }, { "id": "34167", "image": "34167.png", "conversations": [ { "from": "human", "question": "How much more does a purple colored pencil cost than a glue stick?\n" }, { "from": "gpt", "solution": "Subtract the price of a glue stick from the price of a purple colored pencil.\n\n$0.50 - $0.29 = $0.21\n\nA purple colored pencil costs $0.21 more than a glue stick.", "answer": "0.21", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| bright yellow highlighter | $0.71 |\n| package of pencil lead | $0.88 |\n| purple colored pencil | $0.50 |\n| thick black marker | $0.65 |\n| glue stick | $0.29 |" } ] }, { "id": "34171", "image": "34171.png", "conversations": [ { "from": "human", "question": "Mitch recalled how many minutes he had spent at choir rehearsal in the past 4 days. On which day did Mitch rehearse the least?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 118.\n\nNow find the corresponding day. Monday corresponds to 118.", "answer": "Monday", "table": "**Minutes spent rehearsing**\n\n| Day | Minutes |\n| --- | --- |\n| Saturday | 189 |\n| Sunday | 198 |\n| Monday | 118 |\n| Tuesday | 188 |" } ] }, { "id": "34172", "image": "34172.png", "conversations": [ { "from": "human", "question": "A pet store owner had his staff count the number of fish in each tank. How many tanks have fewer than 70 fish?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 3, 4, 5, and 6.\n\nYou counted 17 leaves, which are blue in the stem-and-leaf plot above. 17 tanks have fewer than 70 fish.", "answer": "17", "table": "**Fish per tank**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 5, 8 |\n| 4 | 0, 2, 4, 4, 6 |\n| 5 | 0, 2, 3, 4, 5, 6, 6, 8, 8 |\n| 6 | 3 |" } ] }, { "id": "34175", "image": "34175.png", "conversations": [ { "from": "human", "question": "For a social studies project, Alexandra counted the number of classrooms in each school in the city. How many schools have at least 11 classrooms but fewer than 21 classrooms?\n" }, { "from": "gpt", "solution": "Find the row with stem 1. Count all the leaves greater than or equal to 1.\n\nIn the row with stem 2, count all the leaves less than 1.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plots above. 3 schools have at least 11 classrooms but fewer than 21 classrooms.", "answer": "3", "table": "**Classrooms per school**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 1, 2, 3 |\n| 2 | 4, 7 |\n| 3 | 5, 7 |\n| 4 | 3, 5, 9 |" } ] }, { "id": "34177", "image": "34177.png", "conversations": [ { "from": "human", "question": "A farmer wrote down how many kilograms of cherries were sold in the past 5 days. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n8, 10, 7, 5, 10\n\nFirst, count how many numbers are in the group.\n\nThere are 5 numbers.\n\nNow add all the numbers together:\n\n8 + 10 + 7 + 5 + 10 = 40\n\nNow divide the sum by the number of numbers:\n\n40 ÷ 5 = 8\n\nThe mean is 8.", "answer": "8", "table": "**Cherries sold**\n\n| Day | Kilograms |\n| --- | --- |\n| Tuesday | 8 |\n| Wednesday | 10 |\n| Thursday | 7 |\n| Friday | 5 |\n| Saturday | 10 |" } ] }, { "id": "34178", "image": "34178.png", "conversations": [ { "from": "human", "question": "Look at Margarita's pay stub. Margarita lives in a state without state income tax. How much did Margarita make after taxes?\n" }, { "from": "gpt", "solution": "Find how much Margarita made after taxes. Find the total payroll tax, then subtract it from the total earnings.\nTo find the total payroll tax, add the federal income tax and the other taxes.\nThe total earnings are $670.00. The total payroll tax is $127.96. Subtract to find the difference.\n$670.00 - $127.96 = $542.04\nMargarita made $542.04 after taxes.", "answer": "542.04", "table": "| Employee | Pay period | |\n| --- | --- | --- |\n| Margarita Perez | September 9-15 | |\n| Total earnings | | $670.00 |\n| Federal income tax | $76.70 | |\n| Other taxes | $51.26 | |\n| Total taxes | | ? |\n| Pay after taxes | | ? |" } ] }, { "id": "34183", "image": "34183.png", "conversations": [ { "from": "human", "question": "In determining which sports to offer this season, the Arlington Community Center asked its members' children to vote for their favorite sports. Did fewer boys vote for basketball or gymnastics?\n" }, { "from": "gpt", "solution": "Find the Boys column. Compare the numbers in this column for basketball and gymnastics.\n\n8 is less than 10. Fewer boys voted for basketball.", "answer": "basketball", "table": "**Favorite sports**\n\n| Sport | Boys | Girls |\n| --- | --- | --- |\n| Gymnastics | 10 | 1 |\n| Basketball | 8 | 19 |\n| Golf | 14 | 7 |\n| Tennis | 4 | 10 |" } ] }, { "id": "34186", "image": "34186.png", "conversations": [ { "from": "human", "question": "Robertson has a collection of marbles of different sizes and colors. What is the probability that a randomly selected marble is green and big? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the marble is green\" and B be the event \"the marble is big\".\nTo find the probability that a marble is green and big, first identify the sample space and the event.\nThe outcomes in the sample space are the different marbles. Each marble is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the marble is green and big\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the marble is green and big\", so look at the table to see how many marbles are green and big.\nThe number of marbles that are green and big is 3.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of marbles.\n3 + 3 + 3 + 1 = 10\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{3}{10}\nThe probability that a marble is green and big is \\frac{3}{10}.", "answer": "3/10", "table": "| | Big | Small |\n| --- | --- | --- |\n| Red | 3 | 3 |\n| Green | 3 | 1 |" } ] }, { "id": "34187", "image": "34187.png", "conversations": [ { "from": "human", "question": "Each desk drawer has 2 notepads. How many notepads are in 4 desk drawers?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 8 notepads in 4 desk drawers.", "answer": "8", "table": "| Number of desk drawers | Number of notepads |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | 6 |\n| 4 | ? |" } ] }, { "id": "34191", "image": "34191.png", "conversations": [ { "from": "human", "question": "Tiana has $0.17. Does she have enough to buy a shapes stencil and a colorful pinwheel?\n" }, { "from": "gpt", "solution": "Add the price of a shapes stencil and the price of a colorful pinwheel:\n\n$0.07 + $0.09 = $0.16\n\n$0.16 is less than $0.17. Tiana does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| colorful pinwheel | $0.09 |\n| blue plastic block | $0.01 |\n| red kazoo | $0.03 |\n| shapes stencil | $0.07 |" } ] }, { "id": "34193", "image": "34193.png", "conversations": [ { "from": "human", "question": "Jackson buys 0.5 pounds of blueberry yogurt. What is the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the blueberry yogurt. Multiply the price per pound by the number of pounds.\n$2 × 0.5 = $1\nThe total cost is $1.", "answer": "1", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| strawberry yogurt | $2/lb |\n| non-fat yogurt | $2/lb |\n| plain yogurt | $4/lb |\n| blueberry yogurt | $2/lb |" } ] }, { "id": "34196", "image": "34196.png", "conversations": [ { "from": "human", "question": "Chloe wants to buy 2 kilograms of tomato sauce. How much will she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the tomato sauce. Multiply the price per kilogram by the number of kilograms.\n\n$2 × 2 = $4\n\nShe will spend $4.", "answer": "4", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| tomato sauce | $2/kilogram |\n| beef sauce | $3/kilogram |\n| alfredo sauce | $3/kilogram |\n| marinara sauce | $3/kilogram |" } ] }, { "id": "34202", "image": "34202.png", "conversations": [ { "from": "human", "question": "Each coat rack has 10 raincoats. How many raincoats are on 4 coat racks?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 40 raincoats on 4 coat racks.", "answer": "40", "table": "| Number of coat racks | Number of raincoats |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | ? |" } ] }, { "id": "34204", "image": "34204.png", "conversations": [ { "from": "human", "question": "Kylie likes watching the show Engineering Marvels. In last night's episode, the engineering team visited a tall skyscraper and a deep mine. A banner at the bottom of the screen showed the elevation of each location the team visited. Which location is closer to sea level?\n" }, { "from": "gpt", "solution": "The top of the skyscraper has a positive elevation, so it is above sea level. The bottom of the mine has a negative elevation, so it is below sea level.\nTo find the location closer to sea level, use absolute value. Absolute value tells you how far each location is from sea level.\nTop of the skyscraper: |275| = 275\nBottom of the mine: |-260| = 260\nThe top of the skyscraper is 275 meters above sea level, but the bottom of the mine is only260 meters below sea level. The bottom of the mine is closer to sea level.", "answer": "bottom of the mine", "table": "| Location | Elevation (m) |\n| --- | --- |\n| Top of the skyscraper | 275 |\n| Bottom of the mine | -260 |" } ] }, { "id": "34208", "image": "34208.png", "conversations": [ { "from": "human", "question": "A shipping company keeps track of the number of boxes in each shipment they send out. How many shipments had exactly 29 boxes?\n" }, { "from": "gpt", "solution": "For the number 29, the stem is 2, and the leaf is 9. Find the row where the stem is 2. In that row, count all the leaves equal to 9.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 shipments had exactly29 boxes.", "answer": "4", "table": "**Boxes per shipment**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 5, 9, 9, 9, 9 |\n| 3 | 7 |\n| 4 | 0, 5, 6 |\n| 5 | 0, 3 |" } ] }, { "id": "34212", "image": "34212.png", "conversations": [ { "from": "human", "question": "Each year, the campers at Abby's summer camp try to set that summer's record for finishing the obstacle course as quickly as possible. According to the table, what was the rate of change between 2016 and 2017?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{21 minutes - 28 minutes}{2017 - 2016}\n = \\frac{21 minutes - 28 minutes}{1 year}\n = \\frac{-7 minutes}{1 year}\n = -7 minutes per year\nThe rate of change between 2016 and 2017 was - 7 minutes per year.", "answer": "-7", "table": "**Record obstacle course completion times**\n\n| Year | Record time (minutes) |\n| --- | --- |\n| 2016 | 28 |\n| 2017 | 21 |\n| 2018 | 29 |\n| 2019 | 27 |\n| 2020 | 30 |" } ] }, { "id": "34224", "image": "34224.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{13 - 11}{19 - 18}\n = \\frac{2}{1}\n = 2\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{15 - 11}{20 - 18}\n = \\frac{4}{2}\n = 2\nThe two rates of change are the same.\nIf you checked the rate of change between rows 2 and 3, you would find that it is also 2.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 18 | 11 |\n| 19 | 13 |\n| 20 | 15 |" } ] }, { "id": "34225", "image": "34225.png", "conversations": [ { "from": "human", "question": "Some pizza restaurants compared their pizza sales. How many more pizza slices did Pizzeria Italiano sell than Taste of New York?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nPizzeria Italiano: 2,095\nTaste of New York: 1,030\n\nNow subtract: 2,095 - 1,030 = 1,065.\n\nPizzeria Italiano sold 1,065 more pizza slices than Taste of New York.", "answer": "1,065", "table": "**Pizza slices sold**\n\n| Restaurant | Number of slices sold |\n| --- | --- |\n| Deep Dish by Dan | 3,635 |\n| Pizzeria Italiano | 2,095 |\n| New York Slice | 4,936 |\n| Taste of New York | 1,030 |" } ] }, { "id": "34230", "image": "34230.png", "conversations": [ { "from": "human", "question": "Each pen has 2 roosters. How many roosters are in 3 pens?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 6 roosters in 3 pens.", "answer": "6", "table": "| Number of pens | Number of roosters |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | ? |" } ] }, { "id": "34232", "image": "34232.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. At which stop does the train arrive at 1.15 P.M.?\n" }, { "from": "gpt", "solution": "Find 1:15 P. M. on the schedule. The train arrives at Lee Avenue at 1:15 P. M.", "answer": "Lee Avenue", "table": "**Subway train schedule**\n\n| Location | Time |\n| --- | --- |\n| Spruce Boulevard | 10:40 A.M. |\n| Church Road | 11:30 A.M. |\n| Meadow Road | 12:00 P.M. |\n| Center Boulevard | 12:10 P.M. |\n| Hickory Road | 12:40 P.M. |\n| Lee Avenue | 1:15 P.M. |\n| Franklin Boulevard | 2:05 P.M. |" } ] }, { "id": "34239", "image": "34239.png", "conversations": [ { "from": "human", "question": "A real estate agent looked into how many houses were sold in different cities. Where were the most houses sold?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 89.\n\nNow find the corresponding city. Center City corresponds to 89.", "answer": "Center City", "table": "**House sales**\n\n| City | Number of houses sold |\n| --- | --- |\n| Liberty City | 88 |\n| Pleasant Town | 85 |\n| New Hamburg | 82 |\n| Center City | 89 |" } ] }, { "id": "34240", "image": "34240.png", "conversations": [ { "from": "human", "question": "Each gym locker has 5 sweatshirts. How many sweatshirts are in 5 gym lockers?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 25 sweatshirts in 5 gym lockers.", "answer": "25", "table": "| Number of gym lockers | Number of sweatshirts |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | 20 |\n| 5 | ? |" } ] }, { "id": "34241", "image": "34241.png", "conversations": [ { "from": "human", "question": "Aisha counted the number of ducks at each pond in the city. How many ponds had at least 60 ducks but fewer than 90 ducks?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 6, 7, and 8.\n\nYou counted 20 leaves, which are blue in the stem-and-leaf plot above. 20 ponds had at least 60 ducks but fewer than 90 ducks.", "answer": "20", "table": "**Ducks per pond**\n\n| Stem | Leaf |\n| --- | --- |\n| 5 | 2, 5, 7, 8, 9 |\n| 6 | 0, 2, 4, 5, 5 |\n| 7 | 0, 1, 2, 2, 6, 7, 8, 9 |\n| 8 | 0, 1, 2, 3, 5, 9, 9 |" } ] }, { "id": "34242", "image": "34242.png", "conversations": [ { "from": "human", "question": "Erica counted all the beads in each necklace at the jewelry store where she works. How many necklaces had exactly 76 beads?\n" }, { "from": "gpt", "solution": "For the number 76, the stem is 7, and the leaf is 6. Find the row where the stem is 7. In that row, count all the leaves equal to 6.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 necklaces had exactly 76 beads.", "answer": "3", "table": "**Beads per necklace**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 2, 4 |\n| 3 | |\n| 4 | 8, 9 |\n| 5 | 3, 5, 8 |\n| 6 | |\n| 7 | 4, 6, 6, 6, 8 |\n| 8 | |\n| 9 | 0 |" } ] }, { "id": "34245", "image": "34245.png", "conversations": [ { "from": "human", "question": "Helen, an employee at Dudley's Convenience Store, looked at the sales of each of its soda products. Which beverage had higher sales on Friday, Krazy Kola or Pearl's Soda?\n" }, { "from": "gpt", "solution": "Find the Friday column. Compare the numbers in this column for Krazy Kola and Pearl's Soda.\n\n$12.00 is more than $8.00. Pearl's Soda had higher sales on Friday.", "answer": "Pearl's Soda", "table": "**Convenience store beverage sales**\n\n| Beverage | Friday | Saturday |\n| --- | --- | --- |\n| Pearl's Soda | $12 | $11 |\n| Fizzy Fun | $3 | $10 |\n| Krazy Kola | $8 | $2 |" } ] }, { "id": "34251", "image": "34251.png", "conversations": [ { "from": "human", "question": "Dr. West, a zoo director, researched ticket prices at other zoos around the country. How much more does a child ticket cost at the Denver Zoo than at the Central Park Zoo?\n" }, { "from": "gpt", "solution": "Find the Child column. Find the numbers in this column for Denver and Central Park.\n\nDenver: $7.00\nCentral Park: $5.00\n\nNow subtract:\n\n$7.00 − $5.00 = $2.00\n\nA child cost $2 more at the Denver Zoo than at the Central Park Zoo.", "answer": "2", "table": "**Zoo ticket prices**\n\n| Zoo | Child | Senior |\n| --- | --- | --- |\n| Cleveland | $7 | $10 |\n| Southern Nevada | $6 | $6 |\n| Central Park | $5 | $7 |\n| Denver | $7 | $9 |" } ] }, { "id": "34256", "image": "34256.png", "conversations": [ { "from": "human", "question": "An editor of the school yearbook asked some fourth and fifth graders what their favorite subjects were. How many more fifth graders than fourth graders voted for geography?\n" }, { "from": "gpt", "solution": "Find the Geography row. Find the numbers in this row for fifth graders and fourth graders.\n\nfifth graders: 17\nfourth graders: 4\n\nNow subtract:\n\n17 − 4 = 13\n\n13 more fifth graders than fourth graders voted for geography.", "answer": "13", "table": "**Favorite subjects**\n\n| Subject | Fifth graders | Fourth graders |\n| --- | --- | --- |\n| Geography | 17 | 4 |\n| Science | 4 | 18 |\n| History | 2 | 9 |\n| Art | 14 | 2 |" } ] }, { "id": "34261", "image": "34261.png", "conversations": [ { "from": "human", "question": "The parks department compared how many basketball hoops there are at each park. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 4, 4, 4, 10\n\nFirst, find the greatest number. The greatest number is 10.\n\nNext, find the least number. The least number is 4.\n\nSubtract the least number from the greatest number:\n\n10 − 4 = 6\n\nThe range is 6.", "answer": "6", "table": "**Basketball hoops**\n\n| Park | Number of basketball hoops |\n| --- | --- |\n| Crestview Park | 7 |\n| Mooreland Park | 4 |\n| Otter Park | 4 |\n| Westfield Park | 4 |\n| Kelly Park | 10 |" } ] }, { "id": "34264", "image": "34264.png", "conversations": [ { "from": "human", "question": "Each glass has 5 ice cubes. How many ice cubes are in 5 glasses?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 25 ice cubes in 5 glasses.", "answer": "25", "table": "| Number of glasses | Number of ice cubes |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | 20 |\n| 5 | ? |" } ] }, { "id": "34266", "image": "34266.png", "conversations": [ { "from": "human", "question": "A newspaper researched how many grocery stores there are in each town. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 4, 5, 6, 9\n\nFirst, count how many numbers are in the group.\n\nThere are 5 numbers.\n\nNow add all the numbers together:\n\n6 + 4 + 5 + 6 + 9 = 30\n\nNow divide the sum by the number of numbers:\n\n30 ÷ 5 = 6\n\nThe mean is 6.", "answer": "6", "table": "**Grocery stores in each town**\n\n| Town | Number of stores |\n| --- | --- |\n| Ashland | 6 |\n| Marion | 4 |\n| Watertown | 5 |\n| Chesterton | 6 |\n| Springfield | 9 |" } ] }, { "id": "34274", "image": "34274.png", "conversations": [ { "from": "human", "question": "At Springdale Consulting, the head of human resources examined how the number of employees with health care benefits varied in response to policy changes. According to the table, what was the rate of change between 2011 and 2012?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{35 employees - 20 employees}{2012 - 2011}\n = \\frac{35 employees - 20 employees}{1 year}\n = \\frac{15 employees}{1 year}\n = 15 employees per year\nThe rate of change between 2011 and 2012 was 15 employees per year.", "answer": "15", "table": "**Employees with health care benefits**\n\n| Year | Employees |\n| --- | --- |\n| 2008 | 22 |\n| 2009 | 9 |\n| 2010 | 6 |\n| 2011 | 20 |\n| 2012 | 35 |" } ] }, { "id": "34277", "image": "34277.png", "conversations": [ { "from": "human", "question": "Valeria looked at the dates of the digital photos on her computer to find out how many she had taken in the past 7 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n2, 5, 9, 5, 0, 0, 1\n\nFirst, arrange the numbers from least to greatest:\n\n0, 0, 1, 2, 5, 5, 9\n\nNow find the number in the middle.\n\n0, 0, 1, 2, 5, 5, 9\n\nThe number in the middle is 2.\n\nThe median is 2.", "answer": "2", "table": "**Photographs taken**\n\n| Day | Number of photographs |\n| --- | --- |\n| Friday | 2 |\n| Saturday | 5 |\n| Sunday | 9 |\n| Monday | 5 |\n| Tuesday | 0 |\n| Wednesday | 0 |\n| Thursday | 1 |" } ] }, { "id": "34278", "image": "34278.png", "conversations": [ { "from": "human", "question": "A grocery store recorded how many customers visited the store each day. On which day did the grocery store have the fewest customers?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 41.\n\nNow find the corresponding day. Sunday corresponds to 41.", "answer": "Sunday", "table": "**Grocery store customers**\n\n| Day | Number of customers |\n| --- | --- |\n| Thursday | 45 |\n| Friday | 43 |\n| Saturday | 48 |\n| Sunday | 41 |" } ] }, { "id": "34285", "image": "34285.png", "conversations": [ { "from": "human", "question": "A girl compared the ages of her cousins. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 3, 3, 8, 3\n\nFirst, arrange the numbers from least to greatest:\n\n3, 3, 3, 6, 8\n\nNow find the number in the middle.\n\n3, 3, 3, 6, 8\n\nThe number in the middle is 3.\n\nThe median is 3.", "answer": "3", "table": "**Ages of cousins**\n\n| Name | Age (years) |\n| --- | --- |\n| Walter | 6 |\n| Trevor | 3 |\n| Emilio | 3 |\n| Pam | 8 |\n| Kimi | 3 |" } ] }, { "id": "34294", "image": "34294.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{11 - 13}{13 - 12}\n = \\frac{-2}{1}\n = -2\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{9 - 11}{14 - 13}\n = \\frac{-2}{1}\n = -2\nThe two rates of change are the same.\n2.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 12 | 13 |\n| 13 | 11 |\n| 14 | 9 |" } ] }, { "id": "34296", "image": "34296.png", "conversations": [ { "from": "human", "question": "The houses in Ariana's town get their water from a local reservoir. Ariana and a group of engineers monitor the water level for safety and health reasons. The change in water level over two months is shown in the table. During which month did the water level change more?\n" }, { "from": "gpt", "solution": "A positive change means the water level went up. A negative change means the water level went down.\nTo find the month the water level changed more, use absolute value. Absolute value tells you how much the water level changed each month.\nApril: |-6| = 6\nMay: |4| = 4\nThe water level went down 6 inches in April, and it only went up 4 inches in May. The water level changed more in April.", "answer": "April", "table": "| Month | Change in water level (in.) |\n| --- | --- |\n| April | -6 |\n| May | 4 |" } ] }, { "id": "34298", "image": "34298.png", "conversations": [ { "from": "human", "question": "Every Halloween, trick-or-treaters love going to Isaac's house to see his spooky decorations and get some of his delicious caramel chews. There is a proportional relationship between the number of kids in a group, x, and the total number of caramel chews Isaac gives to that group, y. What is the constant of proportionality? Write your answer as a whole number or decimal.\n" }, { "from": "gpt", "solution": "To find the constant of proportionality, calculate the ratio of y to x.\n6 / 3 = 2\n12 / 6 = 2\n18 / 9 = 2\n20 / 10 = 2\nThe ratio for each pair of x- and y-values is 2. So, the variables have a proportional relationship.\nSo, the constant of proportionality is 2 caramel chews per kid.", "answer": "2", "table": "**x (kids) y (caramel chews)**\n\n| Column 1 | Column 2 |\n| --- | --- |\n| 3 | 6 |\n| 6 | 12 |\n| 9 | 18 |\n| 10 | 20 |" } ] }, { "id": "34299", "image": "34299.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Ben got on the train at the town square at 9.45 A.M. What time will he get to the science museum?\n" }, { "from": "gpt", "solution": "Find 9:45 A. M. in the row for the town square. That column shows the schedule for the train that Ben is on.\n\nLook down the column until you find the row for the science museum.\n\nBen will get to the science museum at 11:00 A. M.", "answer": "11:00 A.M.", "table": "**Light rail train schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 | Column 5 |\n| --- | --- | --- | --- | --- |\n| town square | 9:45 A.M. | 10:00 A.M. | 10:30 A.M. | 11:00 A.M. |\n| riverfront | 10:00 A.M. | 10:15 A.M. | 10:45 A.M. | 11:15 A.M. |\n| city hall | 10:30 A.M. | 10:45 A.M. | 11:15 A.M. | 11:45 A.M. |\n| zoo | 10:45 A.M. | 11:00 A.M. | 11:30 A.M. | 12:00 P.M. |\n| science museum | 11:00 A.M. | 11:15 A.M. | 11:45 A.M. | 12:15 P.M. |\n| high school | 11:30 A.M. | 11:45 A.M. | 12:15 P.M. | 12:45 P.M. |\n| basketball stadium | 12:00 P.M. | 12:15 P.M. | 12:45 P.M. | 1:15 P.M. |\n| hospital | 12:30 P.M. | 12:45 P.M. | 1:15 P.M. | 1:45 P.M. |\n| shopping mall | 1:00 P.M. | 1:15 P.M. | 1:45 P.M. | 2:15 P.M. |" } ] }, { "id": "34301", "image": "34301.png", "conversations": [ { "from": "human", "question": "At a candy factory, butterscotch candies were packaged into bags of different sizes. What is the largest number of butterscotch candies?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 6.\n\nNow find the highest leaf in the last row. The highest leaf is 8.\n\nThe largest number of butterscotch candies has a stem of 6 and a leaf of 8. Write the stem first, then the leaf: 68.\n\nThe largest number of butterscotch candies is 68 butterscotch candies.", "answer": "68", "table": "**Butterscotch candies per bag**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 8 |\n| 3 | 0 |\n| 4 | 1, 1, 5, 8 |\n| 5 | |\n| 6 | 5, 7, 8 |" } ] }, { "id": "34311", "image": "34311.png", "conversations": [ { "from": "human", "question": "Pablo went to the store and bought 1/2 of a pound of strawberry applesauce. How much did he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the strawberry applesauce. Multiply the price per pound by the number of pounds.\n$5 × \\frac{1}{2} = $5 × 0.5 = $2.50\nHe spent $2.50.", "answer": "2.50", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| raspberry applesauce | $4/lb |\n| cranberry applesauce | $6/lb |\n| plain applesauce | $6/lb |\n| unsweetened applesauce | $4/lb |\n| strawberry applesauce | $5/lb |\n| blueberry applesauce | $2/lb |" } ] }, { "id": "34316", "image": "34316.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does The Wizard in the Cereal Box begin?\n" }, { "from": "gpt", "solution": "Find The Wizard in the Cereal Box on the schedule. Find the beginning time for The Wizard in the Cereal Box.\n\nThe Wizard in the Cereal Box: 1:25 P. M.", "answer": "1:25 P.M.", "table": "**Movie schedule**\n\n| Movie | Begin | End |\n| --- | --- | --- |\n| Scary Ghost Movie | 7:15 A.M. | 8:50 A.M. |\n| Adventures in the Universe IV | 7:55 A.M. | 8:55 A.M. |\n| Big Action Movie III | 8:10 A.M. | 10:15 A.M. |\n| The Lonely Innkeeper of the West | 9:40 A.M. | 11:45 A.M. |\n| The Life of a President | 10:45 A.M. | 1:25 P.M. |\n| Laugh Ha Ha, a Comedy | 12:55 P.M. | 2:20 P.M. |\n| The Wizard in the Cereal Box | 1:25 P.M. | 4:20 P.M. |\n| Wildlife in the Wild: Elephants | 3:20 P.M. | 4:55 P.M. |\n| The Caped Hero Returns | 4:20 P.M. | 6:35 P.M. |\n| Two People Happy Together | 6:00 P.M. | 7:05 P.M. |" } ] }, { "id": "34321", "image": "34321.png", "conversations": [ { "from": "human", "question": "The financial aid office at McGee University produced an internal report on the number of students receiving scholarships. According to the table, what was the rate of change between 2015 and 2016?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{23 students - 28 students}{2016 - 2015}\n = \\frac{23 students - 28 students}{1 year}\n = \\frac{-5 students}{1 year}\n = -5 students per year\nThe rate of change between 2015 and 2016 was - 5 students per year.", "answer": "-5", "table": "**Students receiving scholarships**\n\n| Year | Students |\n| --- | --- |\n| 2014 | 30 |\n| 2015 | 28 |\n| 2016 | 23 |\n| 2017 | 26 |\n| 2018 | 21 |" } ] }, { "id": "34325", "image": "34325.png", "conversations": [ { "from": "human", "question": "Heather's classmates revealed how many science articles they read. How many more science articles did Heather read than Danny?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nHeather: 389\nDanny: 177\n\nNow subtract: 389 - 177 = 212.\n\nHeather read 212 more science articles.", "answer": "212", "table": "**Science articles read**\n\n| Name | Number of science articles |\n| --- | --- |\n| Gabe | 528 |\n| Danny | 177 |\n| Jacob | 837 |\n| Heather | 389 |" } ] }, { "id": "34328", "image": "34328.png", "conversations": [ { "from": "human", "question": "On a camping trip, Kylie kept a log of the types of snakes she saw. She noted their colors and approximate lengths. What is the probability that a randomly selected snake is 1 foot long and red? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the snake is 1 foot long\" and B be the event \"the snake is red\".\nTo find the probability that a snake is 1 foot long and red, first identify the sample space and the event.\nThe outcomes in the sample space are the different snakes. Each snake is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the snake is 1 foot long and red\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the snake is 1 foot long and red\", so look at the table to see how many snakes are 1 foot long and red.\nThe number of snakes that are 1 foot long and red is 6.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of snakes.\n6 + 1 + 3 + 4 = 14\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{6}{14}\n = \\frac{3}{7}\nThe probability that a snake is 1 foot long and red is \\frac{3}{7}.", "answer": "3/7", "table": "| | Red | Bright orange |\n| --- | --- | --- |\n| 1 foot long | 6 | 3 |\n| 2 feet long | 1 | 4 |" } ] }, { "id": "34330", "image": "34330.png", "conversations": [ { "from": "human", "question": "A gymnast jotted down the number of cartwheels she did each day. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n4, 4, 5, 9, 5\n\nFirst, arrange the numbers from least to greatest:\n\n4, 4, 5, 5, 9\n\nNow find the number in the middle.\n\n4, 4, 5, 5, 9\n\nThe number in the middle is 5.\n\nThe median is 5.", "answer": "5", "table": "**Doing cartwheels**\n\n| Day | Number of cartwheels |\n| --- | --- |\n| Sunday | 4 |\n| Monday | 4 |\n| Tuesday | 5 |\n| Wednesday | 9 |\n| Thursday | 5 |" } ] }, { "id": "34332", "image": "34332.png", "conversations": [ { "from": "human", "question": "For a social studies project, Anne counted the number of classrooms in each school in the city. How many schools have at least 27 classrooms but fewer than 33 classrooms?\n" }, { "from": "gpt", "solution": "Find the row with stem 2. Count all the leaves greater than or equal to 7.\n\nIn the row with stem 3, count all the leaves less than 3.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plots above. 2 schools have at least 27 classrooms but fewer than 33 classrooms.", "answer": "2", "table": "**Classrooms per school**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 5, 6, 7, 8 |\n| 2 | 1, 2, 4, 7 |\n| 3 | 2, 7, 8, 9 |\n| 4 | 1, 1, 7 |\n| 5 | 0, 7 |\n| 6 | 2, 5 |" } ] }, { "id": "34335", "image": "34335.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does rowing class begin?\n" }, { "from": "gpt", "solution": "Find rowing class on the schedule. Find the beginning time for rowing class.\n\nrowing class: 1:40 P. M.", "answer": "1:40 P.M.", "table": "**Camp schedule**\n\n| Activity | Begin | End |\n| --- | --- | --- |\n| arts and crafts | 7:45 A.M. | 9:00 A.M. |\n| quiet time | 9:10 A.M. | 9:50 A.M. |\n| volleyball game | 10:00 A.M. | 11:15 A.M. |\n| hiking trip | 11:20 A.M. | 1:00 P.M. |\n| canoeing class | 1:05 P.M. | 1:35 P.M. |\n| rowing class | 1:40 P.M. | 3:15 P.M. |" } ] }, { "id": "34343", "image": "34343.png", "conversations": [ { "from": "human", "question": "This is Kira's complete financial record for April. How much money did Kira spend on a bag of jellybeans?\n" }, { "from": "gpt", "solution": "Look at the bag of jellybeans row. The expenses were $4.15. So, Kira spent $4.15 on a bag of jellybeans.\n", "answer": "4.15", "table": "| Date | Description | Received | Expenses | Available Funds |\n| --- | --- | --- | --- | --- |\n| | Balance: end of March | | | $461.80 |\n| 4/7 | bag of jellybeans | | $4.15 | $457.65 |\n| 4/14 | helping Mr. Randall | $20.00 | | $477.65 |\n| 4/23 | umbrella | | $12.65 | $465.00 |" } ] }, { "id": "34347", "image": "34347.png", "conversations": [ { "from": "human", "question": "An office manager counts the number of letters sent by each of his company's employees each week. How many employees mailed at least 2 letters?\n" }, { "from": "gpt", "solution": "Find the rows for 2, 3, 4, 5, and 6 letters. Add the frequencies for these rows.\n\nAdd:\n\n9 + 20 + 13 + 15 + 11 = 68\n\n68 employees mailed at least 2 letters.", "answer": "68", "table": "**Mailing letters last week**\n\n| Letters mailed | Frequency |\n| --- | --- |\n| 0 | 3 |\n| 1 | 12 |\n| 2 | 9 |\n| 3 | 20 |\n| 4 | 13 |\n| 5 | 15 |\n| 6 | 11 |" } ] }, { "id": "34353", "image": "34353.png", "conversations": [ { "from": "human", "question": "What is the total cost for 4+4/5 kilograms of paper beads?\n" }, { "from": "gpt", "solution": "Find the cost of the paper beads. Multiply the price per kilogram by the number of kilograms.\n$4 × 4\\frac{4}{5} = $4 × 4.8 = $19.20\nThe total cost is $19.20.", "answer": "19.20", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| wooden beads | $2/kilogram |\n| crystal beads | $4/kilogram |\n| paper beads | $4/kilogram |\n| metal beads | $5/kilogram |" } ] }, { "id": "34357", "image": "34357.png", "conversations": [ { "from": "human", "question": "How much more does a trumpet cost than a piccolo?\n" }, { "from": "gpt", "solution": "Subtract the price of a piccolo from the price of a trumpet.\n\n$969.00 - $426.00 = $543.00\n\nA trumpet costs $543.00 more than a piccolo.", "answer": "543", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| clarinet | $717.00 |\n| keyboard | $593.00 |\n| trumpet | $969.00 |\n| saxophone | $870.00 |\n| piccolo | $426.00 |" } ] }, { "id": "34358", "image": "34358.png", "conversations": [ { "from": "human", "question": "Clare bought 1 kilogram of purple beads. How much did she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the purple beads. Multiply the price per kilogram by the number of kilograms.\n\n$1.80 × 1 = $1.80\n\nShe spent $1.80.", "answer": "1.80", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| orange beads | $2.32 per kilogram |\n| red beads | $2.45 per kilogram |\n| green beads | $3.42 per kilogram |\n| white beads | $2.32 per kilogram |\n| black beads | $3.50 per kilogram |\n| yellow beads | $1.62 per kilogram |\n| purple beads | $1.80 per kilogram |" } ] }, { "id": "34363", "image": "34363.png", "conversations": [ { "from": "human", "question": "Janelle wrote down how many pages she read over the past 7 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n33, 37, 47, 39, 36, 36, 43\n\nFirst, find the greatest number. The greatest number is 47.\n\nNext, find the least number. The least number is 33.\n\nSubtract the least number from the greatest number:\n\n47 − 33 = 14\n\nThe range is 14.", "answer": "14", "table": "**Pages read**\n\n| Day | Number of pages |\n| --- | --- |\n| Wednesday | 33 |\n| Thursday | 37 |\n| Friday | 47 |\n| Saturday | 39 |\n| Sunday | 36 |\n| Monday | 36 |\n| Tuesday | 43 |" } ] }, { "id": "34365", "image": "34365.png", "conversations": [ { "from": "human", "question": "A transportation analyst compared various bridges' tolls. On the George Washington bridge, how much more is the toll for a truck than for a car?\n" }, { "from": "gpt", "solution": "Find the George Washington row. Find the numbers in this row for truck and car.\n\ntruck: $16.00\ncar: $8.00\n\nNow subtract:\n\n$16.00 − $8.00 = $8.00\n\nOn the George Washington bridge, the toll for a truck is $8 higher than the toll for a car.", "answer": "8", "table": "**Bridge tolls**\n\n| Bridge | Truck | Car |\n| --- | --- | --- |\n| Tacoma Narrows | $4 | $3 |\n| Hatem | $10 | $5 |\n| George Washington | $16 | $8 |\n| San Mateo | $6 | $4 |" } ] }, { "id": "34366", "image": "34366.png", "conversations": [ { "from": "human", "question": "Jackie went to the store and bought 1 pound of macaroni salad, 4 pounds of egg salad, and 4 pounds of fruit salad. How much did she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the macaroni salad. Multiply:\n\n$4 × 1 = $4\n\nFind the cost of the egg salad. Multiply:\n\n$5 × 4 = $20\n\nFind the cost of the fruit salad. Multiply:\n\n$5 × 4 = $20\n\nNow find the total cost by adding:\n\n$4 + $20 + $20 = $44\n\nShe spent $44.", "answer": "44", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| egg salad | $5 per lb |\n| tuna salad | $6 per lb |\n| fruit salad | $5 per lb |\n| macaroni salad | $4 per lb |" } ] }, { "id": "34371", "image": "34371.png", "conversations": [ { "from": "human", "question": "Mrs. Buchanan hosts an annual art contest for kids, and she keeps a record of the number of entries each year. According to the table, what was the rate of change between 2007 and 2008?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{42 entries - 42 entries}{2008 - 2007}\n = \\frac{42 entries - 42 entries}{1 year}\n = \\frac{0 entries}{1 year}\n = 0 entries per year\nThe rate of change between 2007 and 2008 was 0 entries per year.", "answer": "0", "table": "**Art contest entries**\n\n| Year | Number of entries |\n| --- | --- |\n| 2007 | 42 |\n| 2008 | 42 |\n| 2009 | 40 |\n| 2010 | 32 |\n| 2011 | 34 |" } ] }, { "id": "34375", "image": "34375.png", "conversations": [ { "from": "human", "question": "Lucia purchased 4.2 pounds of lentils. What was the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the lentils. Multiply the price per pound by the number of pounds.\n$2 × 4.2 = $8.40\nThe total cost was $8.40.", "answer": "8.40", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| lentils | $2/pound |\n| pumpkin seeds | $4/pound |\n| flax seeds | $7/pound |\n| sunflower seeds | $4/pound |\n| sesame seeds | $5/pound |\n| soybeans | $2/pound |" } ] }, { "id": "34391", "image": "34391.png", "conversations": [ { "from": "human", "question": "Look at Lilly's pay stub. Lilly lives in a state without state income tax. How much payroll tax did Lilly pay in total?\n" }, { "from": "gpt", "solution": "To find the total payroll tax, add the federal income tax and the other taxes.\nThe federal income tax is $307.80. The other taxes are $167.00. Add.\n$307.80 + $167.00 = $474.80\nLilly paid a total of $474.80 in payroll tax.", "answer": "474.80", "table": "| Employee | Pay period | |\n| --- | --- | --- |\n| Lilly Yang | January 1-15 | |\n| Total earnings | | $2,183.00 |\n| Federal income tax | $307.80 | |\n| Other taxes | $167.00 | |\n| Total taxes | | ? |\n| Pay after taxes | | ? |" } ] }, { "id": "34393", "image": "34393.png", "conversations": [ { "from": "human", "question": "How much money does Isabelle need to buy a book about basketball and a book about art?\n" }, { "from": "gpt", "solution": "Add the price of a book about basketball and the price of a book about art:\n\n$13.00 + $14.00 = $27.00\n\nIsabelle needs $27.00.", "answer": "27", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| book about soccer | $16.00 |\n| book about Africa | $13.00 |\n| book about basketball | $13.00 |\n| book about sharks | $19.00 |\n| book about art | $14.00 |" } ] }, { "id": "34395", "image": "34395.png", "conversations": [ { "from": "human", "question": "Hansen, who has four different fruit trees growing in his yard, kept track of how many pieces of fruit he picked this year. What fraction of the pieces of fruit picked were persimmons? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many persimmons were picked.\n\n53\n\nFind how many pieces of fruit were picked in total.\n\n45 + 53 + 67 + 18 = 183\n\nDivide 53 by183.\n\n\\frac{53}{183}\n\n\\frac{53}{183} of persimmons were picked.", "answer": "53/183", "table": "**Pieces of fruit picked**\n\n| Fruits | Pieces of fruit |\n| --- | --- |\n| Plums | 45 |\n| Persimmons | 53 |\n| Oranges | 67 |\n| Peaches | 18 |" } ] }, { "id": "34399", "image": "34399.png", "conversations": [ { "from": "human", "question": "Kristen counted the number of pairs of shoes for sale at each of the shoe stores in the mall. How many stores have at least 30 pairs of shoes but fewer than 40 pairs of shoes?\n" }, { "from": "gpt", "solution": "Count all the leaves in the row with stem 3.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 stores have at least 30 pairs of shoes but fewer than 40 pairs of shoes.", "answer": "2", "table": "**Pairs of shoes per store**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 9 |\n| 2 | 3, 9 |\n| 3 | 2, 8 |\n| 4 | 5 |\n| 5 | 2 |\n| 6 | 2, 3 |" } ] }, { "id": "34407", "image": "34407.png", "conversations": [ { "from": "human", "question": "Each tool box has 5 screwdrivers. How many screwdrivers are in 4 tool boxes?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 20 screwdrivers in 4 tool boxes.", "answer": "20", "table": "| Number of tool boxes | Number of screwdrivers |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | ? |" } ] }, { "id": "34408", "image": "34408.png", "conversations": [ { "from": "human", "question": "Miss Huber ran a sit-up competition among her P.E. students and monitored how many sit-ups each students could do. How many people did exactly 40 sit-ups?\n" }, { "from": "gpt", "solution": "For the number 40, the stem is 4, and the leaf is 0. Find the row where the stem is 4. In that row, count all the leaves equal to 0.\n\nYou counted 1 leaf, which is blue in the stem-and-leaf plot above. 1 person did exactly 40 sit-ups.", "answer": "1", "table": "**Sit-up competition (number of sit-ups)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 9 |\n| 2 | 1, 1 |\n| 3 | 1, 9 |\n| 4 | 0, 9 |\n| 5 | 3 |" } ] }, { "id": "34414", "image": "34414.png", "conversations": [ { "from": "human", "question": "Jill's family went on a road trip and counted the number of cars they saw each day. On which day did they see the most cars?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 165.\n\nNow find the corresponding day. Friday corresponds to 165.", "answer": "Friday", "table": "**Number of cars**\n\n| Day | Number of cars |\n| --- | --- |\n| Tuesday | 161 |\n| Wednesday | 115 |\n| Thursday | 152 |\n| Friday | 165 |" } ] }, { "id": "34421", "image": "34421.png", "conversations": [ { "from": "human", "question": "Chef Chandler baked his famous casseroles for a company holiday party. The casseroles had different shapes and different delicious fillings. What is the probability that a randomly selected casserole is shaped like a rectangle and is filled with cheese? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the casserole is shaped like a rectangle\" and B be the event \"the casserole is filled with cheese\".\nTo find the probability that a casserole is shaped like a rectangle and is filled with cheese, first identify the sample space and the event.\nThe outcomes in the sample space are the different casseroles. Each casserole is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the casserole is shaped like a rectangle and is filled with cheese\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the casserole is shaped like a rectangle and is filled with cheese\", so look at the table to see how many casseroles are shaped like a rectangle and are filled with cheese.\nThe number of casseroles that are shaped like a rectangle and are filled with cheese is 2.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of casseroles.\n5 + 5 + 2 + 6 = 18\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{2}{18}\n = \\frac{1}{9}\nThe probability that a casserole is shaped like a rectangle and is filled with cheese is \\frac{1}{9}.", "answer": "1/9", "table": "| | Spinach | Cheese |\n| --- | --- | --- |\n| Rectangle | 5 | 2 |\n| Circle | 5 | 6 |" } ] }, { "id": "34427", "image": "34427.png", "conversations": [ { "from": "human", "question": "Each tin has 5 muffins. How many muffins are in 4 tins?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 20 muffins in 4 tins.", "answer": "20", "table": "| Number of tins | Number of muffins |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | ? |" } ] }, { "id": "34433", "image": "34433.png", "conversations": [ { "from": "human", "question": "A dog show enthusiast recorded the weight of the winning dog at recent dog shows. According to the table, what was the rate of change between 2017 and 2018?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{15 kilograms - 49 kilograms}{2018 - 2017}\n = \\frac{15 kilograms - 49 kilograms}{1 year}\n = \\frac{-34 kilograms}{1 year}\n = -34 kilograms per year\nThe rate of change between 2017 and 2018 was - 34 kilograms per year.", "answer": "-34", "table": "**Weight of winning dog at a dog show**\n\n| Year | Weight (kg) |\n| --- | --- |\n| 2014 | 23 |\n| 2015 | 29 |\n| 2016 | 42 |\n| 2017 | 49 |\n| 2018 | 15 |" } ] }, { "id": "34440", "image": "34440.png", "conversations": [ { "from": "human", "question": "Look at this table. Is this relation a function?\n" }, { "from": "gpt", "solution": "Look at the x-values in the table.\n\nEach of the x-values is paired with only one y-value, so the relation is a function.", "answer": "yes", "table": "| x | y |\n| --- | --- |\n| 13 | 6 |\n| 5 | 2 |\n| 10 | 14 |" } ] }, { "id": "34445", "image": "34445.png", "conversations": [ { "from": "human", "question": "A magazine editor looked at his sales figures for the past 5 months. How many more copies were sold in December than in November?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nDecember: 746\nNovember: 493\n\nNow subtract: 746 - 493 = 253.\n\n253 more copies were sold in December.", "answer": "253", "table": "**Magazines sold**\n\n| Month | Number of magazines |\n| --- | --- |\n| November | 493 |\n| December | 746 |\n| January | 122 |\n| February | 865 |\n| March | 631 |" } ] }, { "id": "34459", "image": "34459.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. How long does it take to get from the movie theater to the school?\n" }, { "from": "gpt", "solution": "Read the times in the first column for the movie theater and the school.\n\nFind the elapsed time between 10:30 A. M. and 11:30 A. M. The elapsed time is 1 hour.\n\nNo matter which column of times you look at, the elapsed time is always 1 hour.", "answer": "1 hour", "table": "**Bus schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 |\n| --- | --- | --- | --- |\n| the movie theater | 10:30 A.M. | 10:45 A.M. | 11:00 A.M. |\n| the school | 11:30 A.M. | 11:45 A.M. | 12:00 P.M. |\n| the zoo | 12:15 P.M. | 12:30 P.M. | 12:45 P.M. |\n| the kickball field | 1:00 P.M. | 1:15 P.M. | 1:30 P.M. |" } ] }, { "id": "34461", "image": "34461.png", "conversations": [ { "from": "human", "question": "Some students visited nearby zoos to record the number of bears kept there. Which zoo has the fewest bears?\n" }, { "from": "gpt", "solution": "Add the numbers in each row.\n\nAtlantic Zoo: 3 + 5 = 8\nMountain Zoo: 3 + 16 = 19\nPacific Zoo: 5 + 4 = 9\nEastern Zoo: 10 + 15 = 25\n\nThe least sum is 8, which is the total for the Atlantic Zoo row. The Atlantic Zoo has the fewest bears.", "answer": "Atlantic Zoo", "table": "**Bears in zoos**\n\n| Zoo | Sun bears | Brown bears |\n| --- | --- | --- |\n| Atlantic Zoo | 3 | 5 |\n| Mountain Zoo | 3 | 16 |\n| Pacific Zoo | 5 | 4 |\n| Eastern Zoo | 10 | 15 |" } ] }, { "id": "34467", "image": "34467.png", "conversations": [ { "from": "human", "question": "A toy store employee counted the number of toys in each bin in the sale section. What is the largest number of toys?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 5.\n\nNow find the highest leaf in the last row. The highest leaf is 6.\n\nThe largest number of toys has a stem of 5 and a leaf of 6. Write the stem first, then the leaf: 56.\n\nThe largest number of toys is 56 toys.", "answer": "56", "table": "**Toys per bin**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1, 8, 8, 8, 9, 9 |\n| 2 | 0, 2, 5, 7, 7 |\n| 3 | 2, 4, 4, 5 |\n| 4 | 0, 1, 3, 7 |\n| 5 | 1, 1, 3, 3, 6 |" } ] }, { "id": "34471", "image": "34471.png", "conversations": [ { "from": "human", "question": "Lisa buys 2 pounds of star-shaped beads and 4 pounds of flower-shaped beads. What is the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the star-shaped beads. Multiply:\n\n$3 × 2 = $6\n\nFind the cost of the flower-shaped beads. Multiply:\n\n$6 × 4 = $24\n\nNow find the total cost by adding:\n\n$6 + $24 = $30\n\nThe total cost is $30.", "answer": "30", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| square beads | $5/lb |\n| star-shaped beads | $3/lb |\n| flower-shaped beads | $6/lb |\n| spherical beads | $7/lb |\n| rectangular beads | $6/lb |\n| oval beads | $8/lb |\n| heart-shaped beads | $8/lb |" } ] }, { "id": "34479", "image": "34479.png", "conversations": [ { "from": "human", "question": "How much money does Jenny need to buy a navy blue bath mat and a fleece blanket?\n" }, { "from": "gpt", "solution": "Add the price of a navy blue bath mat and the price of a fleece blanket:\n\n$16.00 + $15.00 = $31.00\n\nJenny needs $31.00.", "answer": "31", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| flannel sheet | $15.00 |\n| navy blue bath mat | $16.00 |\n| fleece blanket | $15.00 |\n| pillow | $10.00 |\n| yellow bath towel | $10.00 |" } ] }, { "id": "34480", "image": "34480.png", "conversations": [ { "from": "human", "question": "Lexi has $24.50. Does she have enough to buy a swimsuit and a bicycle helmet?\n" }, { "from": "gpt", "solution": "Add the price of a swimsuit and the price of a bicycle helmet:\n\n$10.65 + $13.64 = $24.29\n\n$24.29 is less than $24.50. Lexi does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| badminton set | $20.87 |\n| basketball | $23.13 |\n| swimsuit | $10.65 |\n| soccer ball | $12.04 |\n| bicycle helmet | $13.64 |" } ] }, { "id": "34487", "image": "34487.png", "conversations": [ { "from": "human", "question": "A bakery recorded how many cupcakes it sold in the past 4 days. On which day did the bakery sell the fewest cupcakes?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 116.\n\nNow find the corresponding day. Tuesday corresponds to 116.", "answer": "Tuesday", "table": "**Cupcakes sold**\n\n| Day | Number of cupcakes |\n| --- | --- |\n| Tuesday | 116 |\n| Wednesday | 151 |\n| Thursday | 156 |\n| Friday | 165 |" } ] }, { "id": "34490", "image": "34490.png", "conversations": [ { "from": "human", "question": "Emmett looked at his calendar to figure out how much time he spent babysitting each month. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n8, 5, 4, 4, 8, 4\n\nFirst, arrange the numbers from least to greatest:\n\n4, 4, 4, 5, 8, 8\n\nNow count how many times each number appears.\n\n4 appears 3 times.\n5 appears 1 time.\n8 appears 2 times.\n\nThe number that appears most often is 4.\n\nThe mode is 4.", "answer": "4", "table": "**Hours of babysitting**\n\n| Month | Hours |\n| --- | --- |\n| February | 8 |\n| March | 5 |\n| April | 4 |\n| May | 4 |\n| June | 8 |\n| July | 4 |" } ] }, { "id": "34496", "image": "34496.png", "conversations": [ { "from": "human", "question": "Several people compared how many Web pages they had visited. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n4, 2, 9, 5, 5\n\nFirst, count how many numbers are in the group.\n\nThere are 5 numbers.\n\nNow add all the numbers together:\n\n4 + 2 + 9 + 5 + 5 = 25\n\nNow divide the sum by the number of numbers:\n\n25 ÷ 5 = 5\n\nThe mean is 5.", "answer": "5", "table": "**Web pages visited**\n\n| Person | Number of Web pages |\n| --- | --- |\n| Mariana | 4 |\n| Nina | 2 |\n| Dan | 9 |\n| Bernie | 5 |\n| Seth | 5 |" } ] }, { "id": "34498", "image": "34498.png", "conversations": [ { "from": "human", "question": "Victoria, a doctor's office receptionist, tracked the average waiting time at the office each month. According to the table, what was the rate of change between June and July?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{43 minutes - 37 minutes}{1 month}\n = \\frac{6 minutes}{1 month}\n = 6 minutes per month\nThe rate of change between June and July was 6 minutes per month.", "answer": "6", "table": "**Average waiting time at a doctor's office**\n\n| Month | Waiting time (minutes) |\n| --- | --- |\n| April | 36 |\n| May | 43 |\n| June | 37 |\n| July | 43 |\n| August | 45 |" } ] }, { "id": "34500", "image": "34500.png", "conversations": [ { "from": "human", "question": "A skating rink attendant monitored the number of injuries at the rink over the past year. He tracked the ages of those injured and the kinds of skates worn during injury. What is the probability that a randomly selected injured skater was wearing in-line skates and was age 10? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the injured skater was wearing in-line skates\" and B be the event \"the injured skater was age 10\".\nTo find the probability that a injured skater was wearing in-line skates and was age 10, first identify the sample space and the event.\nThe outcomes in the sample space are the different injured skaters. Each injured skater is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the injured skater was wearing in-line skates and was age 10\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the injured skater was wearing in-line skates and was age 10\", so look at the table to see how many injured skaters were wearing in-line skates and were age 10.\nThe number of injured skaters who were wearing in-line skates and were age 10 is 4.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of injured skaters.\n3 + 6 + 4 + 6 = 19\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{4}{19}\nThe probability that a injured skater was wearing in-line skates and was age 10 is \\frac{4}{19}.", "answer": "4/19", "table": "| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| | Age 8 | Age 10 |\n| In-line skates | 3 | 4 |\n| Roller skates | 6 | 6 |" } ] }, { "id": "34503", "image": "34503.png", "conversations": [ { "from": "human", "question": "Each tool shed has 10 shovels. How many shovels are in 6 tool sheds?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 60 shovels in 6 tool sheds.", "answer": "60", "table": "| Number of tool sheds | Number of shovels |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | 40 |\n| 5 | 50 |\n| 6 | ? |" } ] }, { "id": "34516", "image": "34516.png", "conversations": [ { "from": "human", "question": "The movie critic liked to count the number of actors in each movie he saw. How many movies had fewer than 78 actors?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 2, 3, 4, 5, and 6.\n\nIn the row with stem 7, count all the leaves less than 8.\n\nYou counted 22 leaves, which are blue in the stem-and-leaf plots above. 22 movies had fewer than 78 actors.", "answer": "22", "table": "**Actors per movie**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 0, 1, 6, 7, 8, 8 |\n| 3 | 3, 8 |\n| 4 | 0, 2, 6 |\n| 5 | 2, 3, 9, 9 |\n| 6 | 2, 6, 8 |\n| 7 | 0, 2, 4, 7 |\n| 8 | 2 |\n| 9 | 0 |" } ] }, { "id": "34518", "image": "34518.png", "conversations": [ { "from": "human", "question": "How much money does Kiera need to buy a piece of floral stationery and 2 pieces of pink paper?\n" }, { "from": "gpt", "solution": "Find the cost of 2 pieces of pink paper.\n\n$0.52 × 2 = $1.04\n\nNow find the total cost.\n\n$0.20 + $1.04 = $1.24\n\nKiera needs $1.24.", "answer": "1.24", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| piece of floral stationery | $0.20 |\n| piece of red and purple stationery | $0.25 |\n| pale purple note card | $0.24 |\n| piece of pink paper | $0.52 |" } ] }, { "id": "34519", "image": "34519.png", "conversations": [ { "from": "human", "question": "Some friends played a trivia game and recorded their scores. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n1, 1, 8, 1, 8, 8, 8, 7\n\nFirst, arrange the numbers from least to greatest:\n\n1, 1, 1, 7, 8, 8, 8, 8\n\nNow count how many times each number appears.\n\n1 appears 3 times.\n7 appears 1 time.\n8 appears 4 times.\n\nThe number that appears most often is 8.\n\nThe mode is 8.", "answer": "8", "table": "**Trivia game scores**\n\n| Name | Score |\n| --- | --- |\n| Charlotte | 1 |\n| Felix | 1 |\n| Kelly | 8 |\n| Austen | 1 |\n| Sanjay | 8 |\n| Debbie | 8 |\n| Ben | 8 |\n| Tanner | 7 |" } ] }, { "id": "34521", "image": "34521.png", "conversations": [ { "from": "human", "question": "If Shawn buys 4 kilograms of yellow beads and 4 kilograms of green beads, how much will he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the yellow beads. Multiply:\n\n$2 × 4 = $8\n\nFind the cost of the green beads. Multiply:\n\n$2 × 4 = $8\n\nNow find the total cost by adding:\n\n$8 + $8 = $16\n\nHe will spend $16.", "answer": "16", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| yellow beads | $2/kilogram |\n| black beads | $2/kilogram |\n| white beads | $3/kilogram |\n| orange beads | $2/kilogram |\n| red beads | $2/kilogram |\n| blue beads | $2/kilogram |\n| green beads | $2/kilogram |" } ] }, { "id": "34527", "image": "34527.png", "conversations": [ { "from": "human", "question": "Owen kept track of how long it took to finish his homework each day. According to the table, what was the rate of change between Wednesday and Thursday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{31 minutes - 14 minutes}{1 day}\n = \\frac{17 minutes}{1 day}\n = 17 minutes per day\nThe rate of change between Wednesday and Thursday was 17 minutes per day.", "answer": "17", "table": "**Time Owen spent on homework**\n\n| Day | Minutes |\n| --- | --- |\n| Tuesday | 23 |\n| Wednesday | 14 |\n| Thursday | 31 |\n| Friday | 12 |\n| Saturday | 20 |" } ] }, { "id": "34531", "image": "34531.png", "conversations": [ { "from": "human", "question": "Tanner purchased 4 pounds of semisweet chocolate and 3 pounds of orange chocolate. What was the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the semisweet chocolate. Multiply:\n\n$5.64 × 4 = $22.56\n\nFind the cost of the orange chocolate. Multiply:\n\n$4.18 × 3 = $12.54\n\nNow find the total cost by adding:\n\n$22.56 + $12.54 = $35.10\n\nThe total cost was $35.10.", "answer": "35.10", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| milk chocolate | $4.42 per pound |\n| dark chocolate | $3.94 per pound |\n| orange chocolate | $4.18 per pound |\n| bittersweet chocolate | $3.95 per pound |\n| semisweet chocolate | $5.64 per pound |\n| white chocolate | $2.19 per pound |" } ] }, { "id": "34544", "image": "34544.png", "conversations": [ { "from": "human", "question": "Abdul wants to buy 2 pounds of yogurt-covered peanuts and 4 pounds of gummy bears. How much will he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the yogurt-covered peanuts. Multiply:\n\n$2.68 × 2 = $5.36\n\nFind the cost of the gummy bears. Multiply:\n\n$2.09 × 4 = $8.36\n\nNow find the total cost by adding:\n\n$5.36 + $8.36 = $13.72\n\nHe will spend $13.72.", "answer": "13.72", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| lemon sours | $2.42 per pound |\n| yogurt-covered peanuts | $2.68 per pound |\n| gummy bears | $2.09 per pound |\n| chocolates | $3.69 per pound |\n| chocolate-covered raisins | $1.53 per pound |\n| licorice | $2.69 per pound |" } ] }, { "id": "34573", "image": "34573.png", "conversations": [ { "from": "human", "question": "How much money does Linda need to buy a night's stay at Grand Vista Hotel, a night's stay at Crescent Motel, and a night's stay at Quiet Harbor Motel?\n" }, { "from": "gpt", "solution": "Find the total cost of a night's stay at Grand Vista Hotel, a night's stay at Crescent Motel, and a night's stay at Quiet Harbor Motel.\n\n$472.00 + $443.00 + $252.00 = $1,167.00\n\nLinda needs $1,167.00.", "answer": "1,167", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| night's stay at Grand Vista Hotel | $472.00 |\n| night's stay at Crescent Motel | $443.00 |\n| night's stay at Hotel Marie | $125.00 |\n| night's stay at Grand Mountain Inn | $351.00 |\n| night's stay at Quiet Harbor Motel | $252.00 |" } ] }, { "id": "34574", "image": "34574.png", "conversations": [ { "from": "human", "question": "A dog show enthusiast recorded the weight of the winning dog at recent dog shows. According to the table, what was the rate of change between 2009 and 2010?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{11 kilograms - 7 kilograms}{2010 - 2009}\n = \\frac{11 kilograms - 7 kilograms}{1 year}\n = \\frac{4 kilograms}{1 year}\n = 4 kilograms per year\nThe rate of change between 2009 and 2010 was 4 kilograms per year.", "answer": "4", "table": "**Weight of winning dog at a dog show**\n\n| Year | Weight (kg) |\n| --- | --- |\n| 2008 | 42 |\n| 2009 | 7 |\n| 2010 | 11 |\n| 2011 | 25 |\n| 2012 | 28 |" } ] }, { "id": "34580", "image": "34580.png", "conversations": [ { "from": "human", "question": "A farmer wrote down how many kilograms of cherries were sold in the past 5 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n5, 7, 9, 5, 6\n\nFirst, arrange the numbers from least to greatest:\n\n5, 5, 6, 7, 9\n\nNow find the number in the middle.\n\n5, 5, 6, 7, 9\n\nThe number in the middle is 6.\n\nThe median is 6.", "answer": "6", "table": "**Cherries sold**\n\n| Day | Kilograms |\n| --- | --- |\n| Saturday | 5 |\n| Sunday | 7 |\n| Monday | 9 |\n| Tuesday | 5 |\n| Wednesday | 6 |" } ] }, { "id": "34583", "image": "34583.png", "conversations": [ { "from": "human", "question": "A stock broker followed the stock prices of a certain set of companies. Which company's stock cost less on Monday, Computer Data Company or Houston Sporting Goods?\n" }, { "from": "gpt", "solution": "Find the Monday column. Compare the numbers in this column for Computer Data Company and Houston Sporting Goods.\n\n$5.00 is less than $9.00. On Monday, Houston Sporting Goods's stock cost less.", "answer": "Houston Sporting Goods", "table": "**Stock prices**\n\n| Company | Monday | Tuesday |\n| --- | --- | --- |\n| Computer Data Company | $9 | $10 |\n| Thompson Corporation | $17 | $8 |\n| Houston Sporting Goods | $5 | $11 |\n| Watson and Partners | $3 | $18 |\n| White and Company | $17 | $10 |" } ] }, { "id": "34591", "image": "34591.png", "conversations": [ { "from": "human", "question": "An Idaho farmer has been monitoring crop prices over time. Per cwt, how much did lentils cost in 2005?\n" }, { "from": "gpt", "solution": "First, find the row for lentils. Then find the number in the 2005 column.\n\nThis number is $12.00. In 2005, lentils cost $12 per cwt.", "answer": "12", "table": "**Idaho crop prices per cwt**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Crop | 2004 | 2005 |\n| Potatoes | $4 | $6 |\n| Onions | $7 | $8 |\n| Apples | $12 | $18 |\n| Lentils | $14 | $12 |" } ] }, { "id": "34596", "image": "34596.png", "conversations": [ { "from": "human", "question": "A volunteer for the local running club counted the number of participants at each race. How many races had at least 20 participants?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 2, 3, 4, 5, 6, 7, 8, and 9.\n\nYou counted 11 leaves, which are blue in the stem-and-leaf plot above. 11 races had at least 20 participants.", "answer": "11", "table": "**Participants per race**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 0, 4, 7 |\n| 3 | 3, 6 |\n| 4 | 8 |\n| 5 | |\n| 6 | 7 |\n| 7 | 8, 8, 9 |\n| 8 | |\n| 9 | 0 |" } ] }, { "id": "34597", "image": "34597.png", "conversations": [ { "from": "human", "question": "The employees at Sandeep's Construction monitored the number of cracked window panes in each shipment they received. How many shipments had exactly 19 cracked window panes?\n" }, { "from": "gpt", "solution": "For the number 19, the stem is 1, and the leaf is 9. Find the row where the stem is 1. In that row, count all the leaves equal to 9.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 shipments had exactly19 cracked window panes.", "answer": "4", "table": "**Cracked window panes per shipment**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 7, 9, 9, 9, 9 |\n| 2 | 8 |\n| 3 | 4 |\n| 4 | |\n| 5 | 9 |\n| 6 | 0, 4 |\n| 7 | 0, 2, 5 |\n| 8 | 0 |\n| 9 | 0 |" } ] }, { "id": "34598", "image": "34598.png", "conversations": [ { "from": "human", "question": "Jim has $42.50. Does he have enough to buy a black jacket and a pair of sweat pants?\n" }, { "from": "gpt", "solution": "Add the price of a black jacket and the price of a pair of sweat pants:\n\n$23.38 + $18.89 = $42.27\n\n$42.27 is less than $42.50. Jim does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pair of khaki pants | $21.46 |\n| pair of sweat pants | $18.89 |\n| black jacket | $23.38 |\n| denim jacket | $22.68 |" } ] }, { "id": "34605", "image": "34605.png", "conversations": [ { "from": "human", "question": "Look at this table. Is this relation a function?\n" }, { "from": "gpt", "solution": "Look at the x-values in the table.\n\nThe x-value 9 is paired with multiple y-values, so the relation is not a function.", "answer": "no", "table": "| x | y |\n| --- | --- |\n| 9 | 18 |\n| 9 | 19 |\n| 17 | 14 |" } ] }, { "id": "34608", "image": "34608.png", "conversations": [ { "from": "human", "question": "In considering whether to open a new branch, the city council examined the number of times some typical residents went to the library last month. How many people are there in all?\n" }, { "from": "gpt", "solution": "Add the frequencies for each row.\n\nAdd:\n\n18 + 3 + 11 + 14 + 7 = 53\n\nThere are 53 people in all.", "answer": "53", "table": "**Going to the library last month**\n\n| Number of trips | Frequency |\n| --- | --- |\n| 1 | 18 |\n| 2 | 3 |\n| 3 | 11 |\n| 4 | 14 |\n| 5 | 7 |" } ] }, { "id": "34610", "image": "34610.png", "conversations": [ { "from": "human", "question": "Polly's class recorded how many states each student has visited. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n1, 2, 5, 4, 1, 1, 4, 5\n\nFirst, arrange the numbers from least to greatest:\n\n1, 1, 1, 2, 4, 4, 5, 5\n\nNow count how many times each number appears.\n\n1 appears 3 times.\n2 appears 1 time.\n4 appears 2 times.\n5 appears 2 times.\n\nThe number that appears most often is 1.\n\nThe mode is 1.", "answer": "1", "table": "**States visited**\n\n| Name | Number of states |\n| --- | --- |\n| Polly | 1 |\n| Ted | 2 |\n| Erin | 5 |\n| Amy | 4 |\n| Sue | 1 |\n| Belle | 1 |\n| Jenny | 4 |\n| Irma | 5 |" } ] }, { "id": "34613", "image": "34613.png", "conversations": [ { "from": "human", "question": "An actor was informed how many fan letters he received each day. On which day were the fewest fan letters received?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 212.\n\nNow find the corresponding day. Saturday corresponds to 212.", "answer": "Saturday", "table": "**Fan letters received**\n\n| Day | Number of fan letters |\n| --- | --- |\n| Wednesday | 221 |\n| Thursday | 281 |\n| Friday | 289 |\n| Saturday | 212 |" } ] }, { "id": "34630", "image": "34630.png", "conversations": [ { "from": "human", "question": "The owner of an orchard kept records about how many apples were picked in the past 4 days. On which day were the fewest apples picked?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 313.\n\nNow find the corresponding day. Friday corresponds to 313.", "answer": "Friday", "table": "**Apples picked**\n\n| Day | Number of apples |\n| --- | --- |\n| Tuesday | 314 |\n| Wednesday | 331 |\n| Thursday | 341 |\n| Friday | 313 |" } ] }, { "id": "34632", "image": "34632.png", "conversations": [ { "from": "human", "question": "Tucker buys 1/4 of a pound of jasmine rice. How much does he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the jasmine rice. Multiply the price per pound by the number of pounds.\n$3 × \\frac{1}{4} = $3 × 0.25 = $0.75\nHe spends $0.75.", "answer": "0.75", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| brown rice | $1/lb |\n| basmati rice | $1/lb |\n| white rice | $1/lb |\n| jasmine rice | $3/lb |\n| long grain rice | $3/lb |\n| Arborio rice | $2/lb |" } ] }, { "id": "34634", "image": "34634.png", "conversations": [ { "from": "human", "question": "The town council reported on how many stop signs there are on each street. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n5, 10, 6, 10, 6, 6, 10, 10\n\nFirst, arrange the numbers from least to greatest:\n\n5, 6, 6, 6, 10, 10, 10, 10\n\nNow count how many times each number appears.\n\n5 appears 1 time.\n6 appears 3 times.\n10 appears 4 times.\n\nThe number that appears most often is 10.\n\nThe mode is 10.", "answer": "10", "table": "**Stop signs**\n\n| Street | Number of stop signs |\n| --- | --- |\n| Spring Street | 5 |\n| Irving Street | 10 |\n| Jackson Street | 6 |\n| Smith Street | 10 |\n| Peabody Street | 6 |\n| Walker Street | 6 |\n| Marshall Street | 10 |\n| Watson Street | 10 |" } ] }, { "id": "34635", "image": "34635.png", "conversations": [ { "from": "human", "question": "A law firm in Middletown kept track of how many hours were billed by each partner last year. What fraction of the hours were billed by Barry? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many hours were billed by Barry.\n\n810\n\nFind how many hours were billed in total.\n\n540 + 650 + 730 + 810 + 970 = 3,700\n\nDivide 810 by 3,700.\n\n\\frac{810}{3,700}\n\nReduce the fraction.\n\n\\frac{810}{3,700} → \\frac{81}{370}\n\n\\frac{81}{370} of hours were billed by Barry.", "answer": "81/370", "table": "**Law firm hours billed**\n\n| Partner | Hours billed |\n| --- | --- |\n| Dale | 540 |\n| Jeanette | 650 |\n| Chase | 730 |\n| Barry | 810 |\n| Kirk | 970 |" } ] }, { "id": "34641", "image": "34641.png", "conversations": [ { "from": "human", "question": "A candy dispenser put various numbers of orange candies into bags. How many bags had exactly 33 orange candies?\n" }, { "from": "gpt", "solution": "For the number 33, the stem is 3, and the leaf is 3. Find the row where the stem is 3. In that row, count all the leaves equal to 3.\n\nYou counted 0 leaves. 0 bags had exactly 33 orange candies.", "answer": "0", "table": "**Orange candies per bag**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 2, 2, 6, 9, 9 |\n| 4 | 1, 1, 2, 4, 6, 6, 6, 7 |\n| 5 | 1, 2, 4, 5, 7 |\n| 6 | 6, 7, 8, 9, 9 |\n| 7 | 2 |\n| 8 | 1 |" } ] }, { "id": "34643", "image": "34643.png", "conversations": [ { "from": "human", "question": "Addison has $0.17. How much money will Addison have left if she buys a pearl bead and an orange and yellow striped bead?\n" }, { "from": "gpt", "solution": "Find the total cost of a pearl bead and an orange and yellow striped bead.\n\n$0.05 + $0.06 = $0.11\n\nNow subtract the total cost from the starting amount.\n\n$0.17 - $0.11 = $0.06\n\nAddison will have $0.06 left.", "answer": "0.06", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pink striped glass bead | $0.05 |\n| long red bead | $0.07 |\n| pearl bead | $0.05 |\n| orange and yellow striped bead | $0.06 |\n| shiny red bead | $0.09 |" } ] }, { "id": "34645", "image": "34645.png", "conversations": [ { "from": "human", "question": "The members of the science club shared how many times they had been to the zoo last year. How many members went to the zoo at least 2 times?\n" }, { "from": "gpt", "solution": "Find the rows for 2, 3, 4, 5, and 6 times. Add the frequencies for these rows.\n\nAdd:\n\n4 + 3 + 9 + 8 + 15 = 39\n\n39 members went to the zoo at least 2 times.", "answer": "39", "table": "**Trips to the zoo last year**\n\n| Number of trips | Frequency |\n| --- | --- |\n| 0 | 0 |\n| 1 | 19 |\n| 2 | 4 |\n| 3 | 3 |\n| 4 | 9 |\n| 5 | 8 |\n| 6 | 15 |" } ] }, { "id": "34647", "image": "34647.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{10 - 12}{9 - 8}\n = \\frac{-2}{1}\n = -2\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{8 - 10}{10 - 9}\n = \\frac{-2}{1}\n = -2\nThe two rates of change are the same.\n2.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 8 | 12 |\n| 9 | 10 |\n| 10 | 8 |" } ] }, { "id": "34650", "image": "34650.png", "conversations": [ { "from": "human", "question": "Doug counted the number of articles in several different magazines. How many magazines had at least 10 articles?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1, 2, 3, and 4.\n\nYou counted 13 leaves, which are blue in the stem-and-leaf plot above. 13 magazines had at least 10 articles.", "answer": "13", "table": "**Articles per magazine**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 2, 5, 7 |\n| 2 | 3, 6, 6, 6, 8, 9 |\n| 3 | 2, 6, 8 |\n| 4 | 8 |" } ] }, { "id": "34651", "image": "34651.png", "conversations": [ { "from": "human", "question": "How much money does Hugo need to buy a tiny bottle of sand and a plastic crab?\n" }, { "from": "gpt", "solution": "Add the price of a tiny bottle of sand and the price of a plastic crab:\n\n$0.42 + $0.59 = $1.01\n\nHugo needs $1.01.", "answer": "1.01", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| plastic crab | $0.59 |\n| sand castle magnet | $0.80 |\n| tiny bottle of sand | $0.42 |\n| shell necklace | $0.61 |\n| pink flamingo pen | $0.42 |" } ] }, { "id": "34657", "image": "34657.png", "conversations": [ { "from": "human", "question": "How much more does a jar of cherries cost than a jar of applesauce?\n" }, { "from": "gpt", "solution": "Subtract the price of a jar of applesauce from the price of a jar of cherries.\n\n$3.25 - $2.71 = $0.54\n\nA jar of cherries costs $0.54 more than a jar of applesauce.", "answer": "0.54", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| jar of applesauce | $2.71 |\n| can of corn | $1.32 |\n| can of pears | $2.66 |\n| can of green beans | $1.31 |\n| jar of cherries | $3.25 |" } ] }, { "id": "34664", "image": "34664.png", "conversations": [ { "from": "human", "question": "The owner of a pick-your-own-bouquet flower farm recorded the number of flowers that customers picked yesterday. How many customers are there in all?\n" }, { "from": "gpt", "solution": "Add the frequencies for each row.\n\nAdd:\n\n9 + 20 + 1 + 14 + 16 = 60\n\nThere are 60 customers in all.", "answer": "60", "table": "**Picking flowers**\n\n| Flowers picked | Frequency |\n| --- | --- |\n| 1 | 9 |\n| 2 | 20 |\n| 3 | 1 |\n| 4 | 14 |\n| 5 | 16 |" } ] }, { "id": "34670", "image": "34670.png", "conversations": [ { "from": "human", "question": "How much money does Hassan need to buy a rock-climbing adventure package and a mountain-biking adventure package?\n" }, { "from": "gpt", "solution": "Add the price of a rock-climbing adventure package and the price of a mountain-biking adventure package:\n\n$209 + $713 = $922\n\nHassan needs $922.", "answer": "922", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| mountain-biking adventure package | $713 |\n| rock-climbing adventure package | $209 |\n| sailing trip package | $947 |\n| ski trip package | $801 |" } ] }, { "id": "34679", "image": "34679.png", "conversations": [ { "from": "human", "question": "The teachers at a middle school counted how many computers they had in their classrooms. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 1, 3, 9, 4, 2, 4, 8\n\nFirst, count how many numbers are in the group.\n\nThere are 8 numbers.\n\nNow add all the numbers together:\n\n9 + 1 + 3 + 9 + 4 + 2 + 4 + 8 = 40\n\nNow divide the sum by the number of numbers:\n\n40 ÷ 8 = 5\n\nThe mean is 5.", "answer": "5", "table": "**Computers in classrooms**\n\n| Teacher | Number of computers |\n| --- | --- |\n| Ms. Rojas | 9 |\n| Ms. Cohen | 1 |\n| Mr. Watson | 3 |\n| Mrs. Jansen | 9 |\n| Mr. Morales | 4 |\n| Mr. Schmidt | 2 |\n| Mrs. Tan | 4 |\n| Mr. Lim | 8 |" } ] }, { "id": "34681", "image": "34681.png", "conversations": [ { "from": "human", "question": "Martha looked at the dates of the digital photos on her computer to find out how many she had taken in the past 5 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n8, 6, 8, 8, 7\n\nFirst, arrange the numbers from least to greatest:\n\n6, 7, 8, 8, 8\n\nNow find the number in the middle.\n\n6, 7, 8, 8, 8\n\nThe number in the middle is 8.\n\nThe median is 8.", "answer": "8", "table": "**Photographs taken**\n\n| Day | Number of photographs |\n| --- | --- |\n| Monday | 8 |\n| Tuesday | 6 |\n| Wednesday | 8 |\n| Thursday | 8 |\n| Friday | 7 |" } ] }, { "id": "34682", "image": "34682.png", "conversations": [ { "from": "human", "question": "How much money does Alvin need to buy a Hawaiian vacation package and an African safari vacation package?\n" }, { "from": "gpt", "solution": "Add the price of a Hawaiian vacation package and the price of an African safari vacation package:\n\n$978.00 + $910.00 = $1,888.00\n\nAlvin needs $1,888.00.", "answer": "1,888", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| African safari vacation package | $910.00 |\n| Australian vacation package | $957.00 |\n| European vacation package | $606.00 |\n| Caribbean vacation package | $735.00 |\n| Hawaiian vacation package | $978.00 |" } ] }, { "id": "34683", "image": "34683.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{15 - 19}{13 - 12}\n = \\frac{-4}{1}\n = -4\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{14 - 15}{14 - 13}\n = \\frac{-1}{1}\n = -1\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 12 | 19 |\n| 13 | 15 |\n| 14 | 14 |" } ] }, { "id": "34690", "image": "34690.png", "conversations": [ { "from": "human", "question": "Tammy's class tracked how many newspapers each student collected for their recycling project. How many more newspapers did Tammy collect than Britney?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nTammy: 660\nBritney: 125\n\nNow subtract: 660 - 125 = 535.\n\nTammy collected 535 more newspapers.", "answer": "535", "table": "**Newspapers collected**\n\n| Name | Number of newspapers |\n| --- | --- |\n| Britney | 125 |\n| Maddie | 799 |\n| Tammy | 660 |" } ] }, { "id": "34703", "image": "34703.png", "conversations": [ { "from": "human", "question": "How much more does a photo album cost than a history book?\n" }, { "from": "gpt", "solution": "Subtract the price of a history book from the price of a photo album.\n\n$15.00 - $13.00 = $2.00\n\nA photo album costs $2.00 more than a history book.", "answer": "2", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| history book | $13.00 |\n| map of Africa | $12.00 |\n| scrapbook | $14.00 |\n| math book | $20.00 |\n| photo album | $15.00 |" } ] }, { "id": "34704", "image": "34704.png", "conversations": [ { "from": "human", "question": "How much money does Anthony need to buy 3 TV stands and 4 kitchen tables?\n" }, { "from": "gpt", "solution": "Find the cost of 3 TV stands.\n\n$29.95 × 3 = $89.85\n\nFind the cost of 4 kitchen tables.\n\n$79.23 × 4 = $316.92\n\nNow find the total cost.\n\n$89.85 + $316.92 = $406.77\n\nAnthony needs $406.77.", "answer": "406.77", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| kitchen table | $79.23 |\n| footstool | $16.82 |\n| TV stand | $29.95 |\n| hammock | $34.81 |" } ] }, { "id": "34707", "image": "34707.png", "conversations": [ { "from": "human", "question": "In science class, Rebecca is measuring the temperature of different chemical mixtures. The temperatures of two mixtures are shown in the table. Which mixture's temperature is closest to zero?\n" }, { "from": "gpt", "solution": "A positive number means the temperature is above zero. A negative number means the temperature is below zero.\nTo find the temperature closest to zero, use absolute value. The absolute value of a temperature tells you how far it is from zero.\nBromine mixture: |-4| = 4\nAcetone mixture: |5| = 5\nThe temperature of the bromine mixture is closest to zero. It is only 4 degrees below zero.", "answer": "bromine mixture", "table": "| Mixture | Temperature (°C) |\n| --- | --- |\n| Bromine mixture | -4 |\n| Acetone mixture | 5 |" } ] }, { "id": "34711", "image": "34711.png", "conversations": [ { "from": "human", "question": "Ryan wants to buy 5 pounds of dried pear. How much will he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the dried pear. Multiply the price per pound by the number of pounds.\n\n$6.87 × 5 = $34.35\n\nHe will spend $34.35.", "answer": "34.35", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| banana chips | $6.95/pound |\n| raisins | $5.49/pound |\n| dried mango | $6.32/pound |\n| dried pineapple | $2.22/pound |\n| dried apple | $6.89/pound |\n| dried pear | $6.87/pound |" } ] }, { "id": "34712", "image": "34712.png", "conversations": [ { "from": "human", "question": "A dietitian noted the number of apples eaten by his clients last week. How many clients ate at least 3 apples last week?\n" }, { "from": "gpt", "solution": "Find the rows for 3 and 4 apples last week. Add the frequencies for these rows.\n\nAdd:\n\n0 + 14 = 14\n\n14 clients ate at least 3 apples last week.", "answer": "14", "table": "**Eating apples last week**\n\n| Apples eaten | Frequency |\n| --- | --- |\n| 0 | 5 |\n| 1 | 20 |\n| 2 | 3 |\n| 3 | 0 |\n| 4 | 14 |" } ] }, { "id": "34713", "image": "34713.png", "conversations": [ { "from": "human", "question": "Each shopping bag has 2 pairs of jeans. How many pairs of jeans are in 6 shopping bags?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 12 pairs of jeans in 6 shopping bags.", "answer": "12", "table": "| Number of shopping bags | Number of pairs of jeans |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | 6 |\n| 4 | 8 |\n| 5 | 10 |\n| 6 | ? |" } ] }, { "id": "34714", "image": "34714.png", "conversations": [ { "from": "human", "question": "A farmer recalled how many watermelons were harvested in the past 5 days. How many more watermelons were harvested on Thursday than on Monday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nThursday: 475\nMonday: 350\n\nNow subtract: 475 - 350 = 125.\n\n125 more watermelons were harvested on Thursday.", "answer": "125", "table": "**Watermelons harvested**\n\n| Day | Number of watermelons |\n| --- | --- |\n| Sunday | 691 |\n| Monday | 350 |\n| Tuesday | 871 |\n| Wednesday | 236 |\n| Thursday | 475 |" } ] }, { "id": "34715", "image": "34715.png", "conversations": [ { "from": "human", "question": "The houses in Mariana's town get their water from a local reservoir. Mariana and a group of engineers monitor the water level for safety and health reasons. The change in water level over two months is shown in the table. During which month did the water level change more?\n" }, { "from": "gpt", "solution": "A positive change means the water level went up. A negative change means the water level went down.\nTo find the month the water level changed more, use absolute value. Absolute value tells you how much the water level changed each month.\nApril: |-6| = 6\nMay: |4| = 4\nThe water level went down 6 inches in April, and it only went up 4 inches in May. The water level changed more in April.", "answer": "April", "table": "| Month | Change in water level (in.) |\n| --- | --- |\n| April | -6 |\n| May | 4 |" } ] }, { "id": "34727", "image": "34727.png", "conversations": [ { "from": "human", "question": "A school district compared how many students attend each elementary school. Which school has the fewest students?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 312.\n\nNow find the corresponding school. Pine Elementary corresponds to 312.", "answer": "Pine Elementary", "table": "**Elementary school attendance**\n\n| School | Number of students |\n| --- | --- |\n| West Elementary | 339 |\n| Pine Elementary | 312 |\n| Douglas Elementary | 321 |\n| Canyon Elementary | 313 |" } ] }, { "id": "34733", "image": "34733.png", "conversations": [ { "from": "human", "question": "Hazel has $26.00. Does she have enough to buy a strawberry cheesecake and a carrot cake?\n" }, { "from": "gpt", "solution": "Add the price of a strawberry cheesecake and the price of a carrot cake:\n\n$13.20 + $11.74 = $24.94\n\n$24.94 is less than $26.00. Hazel does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| strawberry cheesecake | $13.20 |\n| apple tart | $17.07 |\n| peach pie | $13.84 |\n| carrot cake | $11.74 |" } ] }, { "id": "34736", "image": "34736.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{10 - 14}{2 - 1}\n = \\frac{-4}{1}\n = -4\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{5 - 14}{3 - 1}\n = \\frac{-9}{2}\n = -4\\frac{1}{2}\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 1 | 14 |\n| 2 | 10 |\n| 3 | 5 |" } ] }, { "id": "34739", "image": "34739.png", "conversations": [ { "from": "human", "question": "Haley has $8.50. Does she have enough to buy a history book and a crossword puzzle book?\n" }, { "from": "gpt", "solution": "Add the price of a history book and the price of a crossword puzzle book:\n\n$4.29 + $4.50 = $8.79\n\n$8.79 is more than $8.50. Haley does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| spelling workbook | $6.46 |\n| math book | $3.21 |\n| history book | $4.29 |\n| crossword puzzle book | $4.50 |\n| paperback book | $8.39 |\n| mystery novel | $2.25 |" } ] }, { "id": "34743", "image": "34743.png", "conversations": [ { "from": "human", "question": "A philanthropic organization compared the amounts of money that its members donated to certain causes. How much did Logan donate to cancer research?\n" }, { "from": "gpt", "solution": "First, find the row for Logan. Then find the number in the Cancer research column.\n\nThis number is $7.00. Logan donated $7 to cancer research.", "answer": "7", "table": "**Donations**\n\n| Person | Animal rights | Cancer research |\n| --- | --- | --- |\n| Josie | $13 | $9 |\n| Elise | $19 | $3 |\n| Gabby | $12 | $12 |\n| Logan | $4 | $7 |" } ] }, { "id": "34746", "image": "34746.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $1,365, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $1,365, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $725 | 15,200 | 1,500 |\n| $885 | 13,700 | 2,500 |\n| $1,045 | 12,200 | 3,500 |\n| $1,205 | 10,700 | 4,500 |\n| $1,365 | 9,200 | 5,500 |" } ] }, { "id": "34752", "image": "34752.png", "conversations": [ { "from": "human", "question": "Dana counted the number of silver beads on each bracelet at Oakdale Jewelry, the store where she works. What is the largest number of silver beads?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 8.\n\nNow find the highest leaf in the last row. The highest leaf is 5.\n\nThe largest number of silver beads has a stem of 8 and a leaf of 5. Write the stem first, then the leaf: 85.\n\nThe largest number of silver beads is 85 silver beads.", "answer": "85", "table": "**Silver beads per bracelet**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 1, 2, 4, 8, 9 |\n| 3 | 4, 6, 8, 9, 9 |\n| 4 | 6, 8, 8 |\n| 5 | 1, 6 |\n| 6 | 2, 8 |\n| 7 | 0, 3, 4, 8, 8 |\n| 8 | 5 |" } ] }, { "id": "34756", "image": "34756.png", "conversations": [ { "from": "human", "question": "Sam bought 2 kilograms of boat nails. How much did he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the boat nails. Multiply the price per kilogram by the number of kilograms.\n\n$4.30 × 2 = $8.60\n\nHe spent $8.60.", "answer": "8.60", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| boat nails | $4.30 per kilogram |\n| cooler nails | $4.35 per kilogram |\n| finishing nails | $4.41 per kilogram |\n| box nails | $4.13 per kilogram |\n| casing nails | $4.48 per kilogram |\n| roofing nails | $4.49 per kilogram |" } ] }, { "id": "34759", "image": "34759.png", "conversations": [ { "from": "human", "question": "The Arcadia Tourism Office researched how often people played miniature golf last summer. How many people are there in all?\n" }, { "from": "gpt", "solution": "Add the frequencies for each row.\n\nAdd:\n\n18 + 11 + 8 + 7 = 44\n\nThere are 44 people in all.", "answer": "44", "table": "**Playing miniature golf last summer**\n\n| Times played | Frequency |\n| --- | --- |\n| 0 | 18 |\n| 1 | 11 |\n| 2 | 8 |\n| 3 | 7 |" } ] }, { "id": "34767", "image": "34767.png", "conversations": [ { "from": "human", "question": "How much money does Sarah need to buy a flag stamp and a rose stamp?\n" }, { "from": "gpt", "solution": "Add the price of a flag stamp and the price of a rose stamp:\n\n$0.08 + $0.04 = $0.12\n\nSarah needs $0.12.", "answer": "0.12", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| piece of bubble wrap | $0.05 |\n| flag stamp | $0.08 |\n| rose stamp | $0.04 |\n| butterfly stamp | $0.03 |\n| airplane stamp | $0.06 |" } ] }, { "id": "34770", "image": "34770.png", "conversations": [ { "from": "human", "question": "A newspaper researched how many grocery stores there are in each town. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 5, 2, 5, 9, 6, 2, 2\n\nFirst, arrange the numbers from least to greatest:\n\n2, 2, 2, 5, 5, 6, 9, 9\n\nNow count how many times each number appears.\n\n2 appears 3 times.\n5 appears 2 times.\n6 appears 1 time.\n9 appears 2 times.\n\nThe number that appears most often is 2.\n\nThe mode is 2.", "answer": "2", "table": "**Grocery stores in each town**\n\n| Town | Number of stores |\n| --- | --- |\n| Richmond | 9 |\n| Columbia | 5 |\n| Chesterton | 2 |\n| Ashland | 5 |\n| Greenwood | 9 |\n| Mayfield | 6 |\n| Marion | 2 |\n| Springfield | 2 |" } ] }, { "id": "34780", "image": "34780.png", "conversations": [ { "from": "human", "question": "The bird watcher counted the number of birds in each flock that passed overhead. How many flocks had fewer than 27 birds?\n" }, { "from": "gpt", "solution": "In the row with stem 2, count all the leaves less than 7.\n\nYou counted 0 leaves. 0 flocks had fewer than 27 birds.", "answer": "0", "table": "**Birds per flock**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 8 |\n| 3 | 4 |\n| 4 | 6 |\n| 5 | 2, 4, 7 |" } ] }, { "id": "34782", "image": "34782.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $1,020, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $1,020, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $980 | 20,700 | 1,100 |\n| $1,000 | 20,100 | 3,400 |\n| $1,020 | 19,500 | 5,700 |\n| $1,040 | 18,900 | 8,000 |\n| $1,060 | 18,300 | 10,300 |" } ] }, { "id": "34790", "image": "34790.png", "conversations": [ { "from": "human", "question": "A dog show enthusiast recorded the weight of the winning dog at recent dog shows. According to the table, what was the rate of change between 2013 and 2014?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{30 kilograms - 28 kilograms}{2014 - 2013}\n = \\frac{30 kilograms - 28 kilograms}{1 year}\n = \\frac{2 kilograms}{1 year}\n = 2 kilograms per year\nThe rate of change between 2013 and 2014 was 2 kilograms per year.", "answer": "2", "table": "**Weight of winning dog at a dog show**\n\n| Year | Weight (kg) |\n| --- | --- |\n| 2010 | 33 |\n| 2011 | 33 |\n| 2012 | 32 |\n| 2013 | 28 |\n| 2014 | 30 |" } ] }, { "id": "34795", "image": "34795.png", "conversations": [ { "from": "human", "question": "A business analyst compared purchases of different types of cereal. Which cereal had the fewest boxes purchased?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 331.\n\nNow find the corresponding cereal. Whole Wheat Goodness corresponds to 331.", "answer": "Whole Wheat Goodness", "table": "**Boxes of cereal purchased**\n\n| Cereal | Number of boxes purchased |\n| --- | --- |\n| Fruit-E-Ohs | 347 |\n| Caramel Deelish | 373 |\n| Whole Wheat Goodness | 331 |\n| Krispee Bites | 374 |" } ] }, { "id": "34797", "image": "34797.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Trudy just missed the 1.30 P.M. ferry at Starfish City. What time is the next ferry?\n" }, { "from": "gpt", "solution": "Find 1:30 P. M. in the row for Starfish City.\n\nLook for the next ferry in that row.\n\nThe next ferry is at 2:30 P. M.", "answer": "2:30 P.M.", "table": "**Ferry schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 |\n| --- | --- | --- | --- |\n| Rocky Port | 5:00 A.M. | 6:45 A.M. | 7:45 A.M. |\n| Crest View | 6:30 A.M. | 8:15 A.M. | 9:15 A.M. |\n| Bay Harbor | 8:15 A.M. | 10:00 A.M. | 11:00 A.M. |\n| Sandy Shores | 10:00 A.M. | 11:45 A.M. | 12:45 P.M. |\n| Starfish City | 11:45 A.M. | 1:30 P.M. | 2:30 P.M. |\n| Foggy Port | 1:30 P.M. | 3:15 P.M. | 4:15 P.M. |\n| Green Harbor | 2:30 P.M. | 4:15 P.M. | 5:15 P.M. |\n| Windy Sands | 4:15 P.M. | 6:00 P.M. | 7:00 P.M. |\n| Seagull Port | 5:00 P.M. | 6:45 P.M. | 7:45 P.M. |" } ] }, { "id": "34799", "image": "34799.png", "conversations": [ { "from": "human", "question": "The members of the track team compared how many miles they ran last week. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n5, 1, 1, 5, 4, 1\n\nFirst, arrange the numbers from least to greatest:\n\n1, 1, 1, 4, 5, 5\n\nNow count how many times each number appears.\n\n1 appears 3 times.\n4 appears 1 time.\n5 appears 2 times.\n\nThe number that appears most often is 1.\n\nThe mode is 1.", "answer": "1", "table": "**Running miles**\n\n| Name | Miles |\n| --- | --- |\n| Philip | 5 |\n| Linda | 1 |\n| Sandra | 1 |\n| Darell | 5 |\n| Jared | 4 |\n| Nancy | 1 |" } ] }, { "id": "34804", "image": "34804.png", "conversations": [ { "from": "human", "question": "How much more does a shiny metal bead cost than a thick gray bead?\n" }, { "from": "gpt", "solution": "Subtract the price of a thick gray bead from the price of a shiny metal bead.\n\n$0.84 - $0.13 = $0.71\n\nA shiny metal bead costs $0.71 more than a thick gray bead.", "answer": "0.71", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| bead with green and blue swirls | $0.92 |\n| shiny metal bead | $0.84 |\n| thick gray bead | $0.13 |\n| pink striped glass bead | $0.71 |" } ] }, { "id": "34811", "image": "34811.png", "conversations": [ { "from": "human", "question": "Tyrone kept track of how long it took to finish his homework each day. According to the table, what was the rate of change between Friday and Saturday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{41 minutes - 40 minutes}{1 day}\n = \\frac{1 minute}{1 day}\n = 1 minute per day\nThe rate of change between Friday and Saturday was 1 minute per day.", "answer": "1", "table": "**Time Tyrone spent on homework**\n\n| Day | Minutes |\n| --- | --- |\n| Tuesday | 40 |\n| Wednesday | 44 |\n| Thursday | 50 |\n| Friday | 40 |\n| Saturday | 41 |" } ] }, { "id": "34813", "image": "34813.png", "conversations": [ { "from": "human", "question": "Each tin has 2 pretzels. How many pretzels are in 3 tins?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 6 pretzels in 3 tins.", "answer": "6", "table": "| Number of tins | Number of pretzels |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | ? |" } ] }, { "id": "34823", "image": "34823.png", "conversations": [ { "from": "human", "question": "Mrs. Morrison told students how many rounds to expect in the spelling bee based on previous years. According to the table, what was the rate of change between 2013 and 2014?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{11 rounds - 15 rounds}{2014 - 2013}\n = \\frac{11 rounds - 15 rounds}{1 year}\n = \\frac{-4 rounds}{1 year}\n = -4 rounds per year\nThe rate of change between 2013 and 2014 was - 4 rounds per year.", "answer": "-4", "table": "**Rounds in the spelling bee**\n\n| Year | Rounds |\n| --- | --- |\n| 2010 | 16 |\n| 2011 | 18 |\n| 2012 | 14 |\n| 2013 | 15 |\n| 2014 | 11 |" } ] }, { "id": "34824", "image": "34824.png", "conversations": [ { "from": "human", "question": "The soccer coach is preparing for the upcoming season by seeing how many goals his team members scored last season. How many team members scored exactly 3 goals last season?\n" }, { "from": "gpt", "solution": "Find the row for 3 goals last season and read the frequency. The frequency is 3.\n\n3 team members scored exactly 3 goals last season.", "answer": "3", "table": "**Soccer goals last season**\n\n| Goals scored | Frequency |\n| --- | --- |\n| 0 | 11 |\n| 1 | 4 |\n| 2 | 17 |\n| 3 | 3 |" } ] }, { "id": "34838", "image": "34838.png", "conversations": [ { "from": "human", "question": "Pam has $6.00. Does she have enough to buy a wrench and a measuring tape?\n" }, { "from": "gpt", "solution": "Add the price of a wrench and the price of a measuring tape:\n\n$2.00 + $4.00 = $6.00\n\nSince Pam has $6.00, she has just enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| broom | $5.00 |\n| wrench | $2.00 |\n| measuring tape | $4.00 |\n| padlock | $8.00 |" } ] }, { "id": "34840", "image": "34840.png", "conversations": [ { "from": "human", "question": "The architecture student counted the number of bricks in each building in her neighborhood. What is the smallest number of bricks?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 2.\n\nNow find the lowest leaf in the first row. The lowest leaf is 1.\n\nThe smallest number of bricks has a stem of 2 and a leaf of 1. Write the stem first, then the leaf: 21.\n\nThe smallest number of bricks is 21 bricks.", "answer": "21", "table": "**Bricks per building**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 1, 2, 6, 8 |\n| 3 | 4 |\n| 4 | 6 |\n| 5 | |\n| 6 | 1 |\n| 7 | 3, 5, 8 |" } ] }, { "id": "34843", "image": "34843.png", "conversations": [ { "from": "human", "question": "Irma kept track of the number of games her soccer team won each year. According to the table, what was the rate of change between 2009 and 2010?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{26 games - 25 games}{2010 - 2009}\n = \\frac{26 games - 25 games}{1 year}\n = \\frac{1 game}{1 year}\n = 1 game per year\nThe rate of change between 2009 and 2010 was 1 game per year.", "answer": "1", "table": "**Games won by Irma's soccer team**\n\n| Year | Games won |\n| --- | --- |\n| 2006 | 26 |\n| 2007 | 24 |\n| 2008 | 21 |\n| 2009 | 25 |\n| 2010 | 26 |" } ] }, { "id": "34860", "image": "34860.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{12 - 4}{13 - 12}\n = \\frac{8}{1}\n = 8\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{20 - 12}{14 - 13}\n = \\frac{8}{1}\n = 8\nThe two rates of change are the same.\nIf you checked the rate of change between rows 1 and 3, you would find that it is also 8.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 12 | 4 |\n| 13 | 12 |\n| 14 | 20 |" } ] }, { "id": "34862", "image": "34862.png", "conversations": [ { "from": "human", "question": "The aquarium's records showed how many tickets were sold in the past 4 days. On which day did the aquarium sell the fewest tickets?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 945.\n\nNow find the corresponding day. Sunday corresponds to 945.", "answer": "Sunday", "table": "**Tickets sold**\n\n| Day | Number of tickets |\n| --- | --- |\n| Sunday | 945 |\n| Monday | 954 |\n| Tuesday | 994 |\n| Wednesday | 958 |" } ] }, { "id": "34871", "image": "34871.png", "conversations": [ { "from": "human", "question": "Polly kept a tally of the number of emails she received each day for a week. According to the table, what was the rate of change between Thursday and Friday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{9 emails - 8 emails}{1 day}\n = \\frac{1 email}{1 day}\n = 1 email per day\nThe rate of change between Thursday and Friday was 1 email per day.", "answer": "1", "table": "**Emails Polly received**\n\n| Day | Emails |\n| --- | --- |\n| Monday | 5 |\n| Tuesday | 9 |\n| Wednesday | 6 |\n| Thursday | 8 |\n| Friday | 9 |" } ] }, { "id": "34876", "image": "34876.png", "conversations": [ { "from": "human", "question": "Robert's campground is close to two hiking trails with scenic destinations. One trail ends at an underground lake in the bottom of a small cave. The other trail ends at a mountain peak. The elevation of each destination is shown on the campground map. Which trail's destination is farther from sea level?\n" }, { "from": "gpt", "solution": "The underground lake's elevation is negative, so it is below sea level. The mountain peak's elevation is positive, so it is above sea level.\nTo find the destination farther from sea level, use absolute value. Absolute value tells you how far each destination is from sea level.\nUnderground lake: |-350| = 350\nMountain peak: |325| = 325\nThe underground lake is 350 feet below sea level, and the mountain peak is only 325 feet above sea level. The underground lake is farther from sea level.", "answer": "underground lake", "table": "| Destination | Elevation (ft.) |\n| --- | --- |\n| Underground lake | -350 |\n| Mountain peak | 325 |" } ] }, { "id": "34878", "image": "34878.png", "conversations": [ { "from": "human", "question": "The owner of a plant nursery wrote down the number of roses on each bush. What is the largest number of roses?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 8.\n\nNow find the highest leaf in the last row. The highest leaf is 2.\n\nThe largest number of roses has a stem of 8 and a leaf of 2. Write the stem first, then the leaf: 82.\n\nThe largest number of roses is 82 roses.", "answer": "82", "table": "**Roses per bush**\n\n| Stem | Leaf |\n| --- | --- |\n| 0 | 4, 7 |\n| 1 | 0, 2, 5, 5, 6 |\n| 2 | 5, 6, 6 |\n| 3 | 1, 3, 6, 6 |\n| 4 | 5 |\n| 5 | 1, 1 |\n| 6 | 0, 0, 5 |\n| 7 | 4, 6 |\n| 8 | 2 |" } ] }, { "id": "34879", "image": "34879.png", "conversations": [ { "from": "human", "question": "Jenny brought chips and several different dips to a party. She asked everyone at the party which dip was their favorite and recorded their responses in a frequency chart. Which dip was the most popular?\n" }, { "from": "gpt", "solution": "The greatest number in the frequency chart is 11.\nSo, guacamole was the most popular dip.", "answer": "guacamole", "table": "**Favorite dip**\n\n| Type | Frequency |\n| --- | --- |\n| bean dip | 5 |\n| cheese | 7 |\n| guacamole | 11 |\n| salsa | 9 |" } ] }, { "id": "34880", "image": "34880.png", "conversations": [ { "from": "human", "question": "Each barn has 2 horses. How many horses are in 5 barns?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 10 horses in 5 barns.", "answer": "10", "table": "| Number of barns | Number of horses |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | 6 |\n| 4 | 8 |\n| 5 | ? |" } ] }, { "id": "34882", "image": "34882.png", "conversations": [ { "from": "human", "question": "Ben has $17,781. Does he have enough to buy a shaved ice cart and a peanut cart?\n" }, { "from": "gpt", "solution": "Add the price of a shaved ice cart and the price of a peanut cart:\n\n$7,649 + $9,406 = $17,055\n\n$17,055 is less than $17,781. Ben does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| funnel cake stand | $6,964 |\n| shaved ice cart | $7,649 |\n| popsicle stand | $6,324 |\n| peanut cart | $9,406 |" } ] }, { "id": "34887", "image": "34887.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{12 - 5}{17 - 16}\n = \\frac{7}{1}\n = 7\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{20 - 5}{18 - 16}\n = \\frac{15}{2}\n = 7\\frac{1}{2}\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 16 | 5 |\n| 17 | 12 |\n| 18 | 20 |" } ] }, { "id": "34891", "image": "34891.png", "conversations": [ { "from": "human", "question": "Kenny went to the store and bought 1 kilogram of salted almonds. How much did he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the salted almonds. Multiply the price per kilogram by the number of kilograms.\n\n$0.98 × 1 = $0.98\n\nHe spent $0.98.", "answer": "0.98", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| unsalted almonds | $2.17 per kg |\n| salted almonds | $0.98 per kg |\n| yogurt-covered almonds | $2.00 per kg |\n| chocolate-covered almonds | $1.76 per kg |" } ] }, { "id": "34893", "image": "34893.png", "conversations": [ { "from": "human", "question": "How much more does a beach towel cost than a flannel sheet?\n" }, { "from": "gpt", "solution": "Subtract the price of a flannel sheet from the price of a beach towel.\n\n$7.40 - $7.04 = $0.36\n\nA beach towel costs $0.36 more than a flannel sheet.", "answer": "0.36", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| green kitchen towel | $2.11 |\n| white washcloth | $2.95 |\n| navy blue bath mat | $7.70 |\n| beach towel | $7.40 |\n| fleece blanket | $8.47 |\n| flannel sheet | $7.04 |" } ] }, { "id": "34899", "image": "34899.png", "conversations": [ { "from": "human", "question": "Sofia has $1.50. Does she have enough to buy a small box of paper clips and a pink eraser?\n" }, { "from": "gpt", "solution": "Add the price of a small box of paper clips and the price of a pink eraser:\n\n$0.97 + $0.67 = $1.64\n\n$1.64 is more than $1.50. Sofia does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| thin blue marker | $0.85 |\n| small box of paper clips | $0.97 |\n| pink eraser | $0.67 |\n| black pen | $0.59 |" } ] }, { "id": "34905", "image": "34905.png", "conversations": [ { "from": "human", "question": "The Carroll Senior Care Center monitored how often its residents got to visit with relatives last year. How many residents did not visit with relatives last year?\n" }, { "from": "gpt", "solution": "Find the row for 0 times and read the frequency. The frequency is 17.\n\n17 residents did not visit with relatives last year.", "answer": "17", "table": "**Visiting with relatives last year**\n\n| Number of visits | Frequency |\n| --- | --- |\n| 0 | 17 |\n| 1 | 9 |\n| 2 | 4 |\n| 3 | 8 |\n| 4 | 18 |" } ] }, { "id": "34908", "image": "34908.png", "conversations": [ { "from": "human", "question": "A printing shop kept a log of how many sheets of paper were used in the past 4 days. On which day did the printing shop use the fewest sheets of paper?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 229.\n\nNow find the corresponding day. Saturday corresponds to 229.", "answer": "Saturday", "table": "**Sheets of paper used**\n\n| Day | Number of sheets of paper |\n| --- | --- |\n| Wednesday | 282 |\n| Thursday | 298 |\n| Friday | 289 |\n| Saturday | 229 |" } ] }, { "id": "34924", "image": "34924.png", "conversations": [ { "from": "human", "question": "As part of a statistics project, a math class weighed all the children who were willing to participate. How many children weighed at least 12 pounds but less than 56 pounds?\n" }, { "from": "gpt", "solution": "Find the row with stem 1. Count all the leaves greater than or equal to 2.\n\nCount all the leaves in the rows with stems 2, 3, and 4.\n\nIn the row with stem 5, count all the leaves less than 6.\n\nYou counted 10 leaves, which are blue in the stem-and-leaf plots above. 10 children weighed at least 12 pounds but less than 56 pounds.", "answer": "10", "table": "**Children's weights (lbs)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 3, 7 |\n| 2 | 2, 9 |\n| 3 | 0, 6 |\n| 4 | 3, 9 |\n| 5 | 1, 2, 7, 8 |\n| 6 | 2, 2, 7 |" } ] }, { "id": "34928", "image": "34928.png", "conversations": [ { "from": "human", "question": "In science class, Valentina is learning about places with extreme temperatures. She learns that the highest temperature ever recorded was in Death Valley, California. She also learns that the lowest temperature ever recorded was in Vostok Station, Antarctica. The record-setting temperatures of the two locations are shown in the table. Which location's temperature was further from zero?\n" }, { "from": "gpt", "solution": "A positive number means the temperature was above zero. A negative number means the temperature was below zero.\nTo find which temperature was further from zero, use absolute value. Absolute value tells you how far a temperature is from zero.\nDeath Valley: |134| = 134\nVostok Station: |-128| = 128\nThe temperature of Death Valley was further from zero. It was 134 degrees above zero.", "answer": "Death Valley", "table": "| Location | Temperature (°F) |\n| --- | --- |\n| Death Valley | 134 |\n| Vostok Station | -128 |" } ] }, { "id": "34930", "image": "34930.png", "conversations": [ { "from": "human", "question": "Nancy, a doctor's office receptionist, tracked the average waiting time at the office each month. According to the table, what was the rate of change between April and May?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{20 minutes - 14 minutes}{1 month}\n = \\frac{6 minutes}{1 month}\n = 6 minutes per month\nThe rate of change between April and May was 6 minutes per month.", "answer": "6", "table": "**Average waiting time at a doctor's office**\n\n| Month | Waiting time (minutes) |\n| --- | --- |\n| February | 10 |\n| March | 5 |\n| April | 14 |\n| May | 20 |\n| June | 25 |" } ] }, { "id": "34942", "image": "34942.png", "conversations": [ { "from": "human", "question": "At a candy factory, butterscotch candies were packaged into bags of different sizes. How many bags had exactly 48 butterscotch candies?\n" }, { "from": "gpt", "solution": "For the number 48, the stem is 4, and the leaf is 8. Find the row where the stem is 4. In that row, count all the leaves equal to 8.\n\nYou counted 1 leaf, which is blue in the stem-and-leaf plot above. 1 bag had exactly 48 butterscotch candies.", "answer": "1", "table": "**Butterscotch candies per bag**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 0, 1, 3, 3 |\n| 3 | 4, 9 |\n| 4 | 0, 0, 5, 8 |\n| 5 | 5, 6, 7, 9 |\n| 6 | |\n| 7 | 1, 5, 8 |\n| 8 | 0 |\n| 9 | 0 |" } ] }, { "id": "34944", "image": "34944.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{13 - 6}{12 - 11}\n = \\frac{7}{1}\n = 7\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{14 - 6}{13 - 11}\n = \\frac{8}{2}\n = 4\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 11 | 6 |\n| 12 | 13 |\n| 13 | 14 |" } ] }, { "id": "34945", "image": "34945.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $330, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $330, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $210 | 11,900 | 4,100 |\n| $240 | 11,700 | 5,500 |\n| $270 | 11,500 | 6,900 |\n| $300 | 11,300 | 8,300 |\n| $330 | 11,100 | 9,700 |" } ] }, { "id": "34946", "image": "34946.png", "conversations": [ { "from": "human", "question": "A food critic counted the number of menu items at each restaurant in town. What is the smallest number of menu items?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 1.\n\nNow find the lowest leaf in the first row. The lowest leaf is 7.\n\nThe smallest number of menu items has a stem of 1 and a leaf of 7. Write the stem first, then the leaf: 17.\n\nThe smallest number of menu items is 17 menu items.", "answer": "17", "table": "**Menu items per restaurant**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 7, 8, 8 |\n| 2 | 1, 6, 7 |\n| 3 | 4, 5 |\n| 4 | 1 |\n| 5 | 4, 5 |\n| 6 | 2, 3, 4, 5 |\n| 7 | 3 |\n| 8 | 3, 8 |" } ] }, { "id": "34950", "image": "34950.png", "conversations": [ { "from": "human", "question": "How much money does Carter need to buy 9 almond tarts?\n" }, { "from": "gpt", "solution": "Find the total cost of 9 almond tarts by multiplying 9 times the price of an almond tart.\n\n$23.19 × 9 = $208.71\n\nCarter needs $208.71.", "answer": "208.71", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pumpkin pie | $10.60 |\n| blueberry cheesecake | $29.75 |\n| strawberry cheesecake | $16.88 |\n| cherry pie | $13.01 |\n| peach pie | $13.60 |\n| almond tart | $23.19 |" } ] }, { "id": "34951", "image": "34951.png", "conversations": [ { "from": "human", "question": "The county released data about how many schools there are in each town. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 5, 9, 3, 2, 5, 2\n\nFirst, count how many numbers are in the group.\n\nThere are 7 numbers.\n\nNow add all the numbers together:\n\n9 + 5 + 9 + 3 + 2 + 5 + 2 = 35\n\nNow divide the sum by the number of numbers:\n\n35 ÷ 7 = 5\n\nThe mean is 5.", "answer": "5", "table": "**Schools in each town**\n\n| Town | Number of schools |\n| --- | --- |\n| Greenwood | 9 |\n| Springfield | 5 |\n| Columbia | 9 |\n| Watertown | 3 |\n| Richmond | 2 |\n| Marion | 5 |\n| Ashland | 2 |" } ] }, { "id": "34965", "image": "34965.png", "conversations": [ { "from": "human", "question": "Each branch has 2 flowers. How many flowers are on 3 branches?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 6 flowers on 3 branches.", "answer": "6", "table": "| Number of branches | Number of flowers |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | ? |" } ] }, { "id": "34967", "image": "34967.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{9 - 6}{14 - 13}\n = \\frac{3}{1}\n = 3\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{12 - 9}{15 - 14}\n = \\frac{3}{1}\n = 3\nThe two rates of change are the same.\nIf you checked the rate of change between rows 1 and 3, you would find that it is also 3.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 13 | 6 |\n| 14 | 9 |\n| 15 | 12 |" } ] }, { "id": "34974", "image": "34974.png", "conversations": [ { "from": "human", "question": "Barry looked over his calendar to see how many times he had soccer practice each month. In which month did Barry have the most soccer practices?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 19.\n\nNow find the corresponding month. October corresponds to 19.", "answer": "October", "table": "**Soccer practice**\n\n| Month | Number of practices |\n| --- | --- |\n| July | 18 |\n| August | 12 |\n| September | 15 |\n| October | 19 |" } ] }, { "id": "34992", "image": "34992.png", "conversations": [ { "from": "human", "question": "Each necklace has 10 orange beads. How many orange beads are on 6 necklaces?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 60 orange beads on 6 necklaces.", "answer": "60", "table": "| Number of necklaces | Number of orange beads |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | 40 |\n| 5 | 50 |\n| 6 | ? |" } ] }, { "id": "35008", "image": "35008.png", "conversations": [ { "from": "human", "question": "A food critic counted the number of menu items at each restaurant in town. How many restaurants have at least 23 menu items but fewer than 53 menu items?\n" }, { "from": "gpt", "solution": "Find the row with stem 2. Count all the leaves greater than or equal to 3.\n\nCount all the leaves in the rows with stems 3 and 4.\n\nIn the row with stem 5, count all the leaves less than 3.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plots above. 2 restaurants have at least 23 menu items but fewer than 53 menu items.", "answer": "2", "table": "**Menu items per restaurant**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 0 |\n| 3 | 5, 7 |\n| 4 | |\n| 5 | 3, 7, 9 |\n| 6 | 1, 2, 6 |\n| 7 | 0, 5 |\n| 8 | 1, 2, 3, 7 |\n| 9 | 0 |" } ] }, { "id": "35014", "image": "35014.png", "conversations": [ { "from": "human", "question": "To figure out how many vacation days he had left to use, Ronald looked over his old calendars to figure out how many days of vacation he had taken each year. According to the table, what was the rate of change between 2016 and 2017?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{28 vacation days - 14 vacation days}{2017 - 2016}\n = \\frac{28 vacation days - 14 vacation days}{1 year}\n = \\frac{14 vacation days}{1 year}\n = 14 vacation days per year\nThe rate of change between 2016 and 2017 was 14 vacation days per year.", "answer": "14", "table": "**Vacation days taken by Ronald**\n\n| Year | Vacation days |\n| --- | --- |\n| 2016 | 14 |\n| 2017 | 28 |\n| 2018 | 12 |\n| 2019 | 15 |\n| 2020 | 27 |" } ] }, { "id": "35016", "image": "35016.png", "conversations": [ { "from": "human", "question": "A city planner counted the number of floors per building in the downtown area. How many buildings have at least 10 floors but fewer than 50 floors?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1, 2, 3, and 4.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 buildings have at least 10 floors but fewer than 50 floors.", "answer": "3", "table": "**Floors per building**\n\n| Stem | Leaf |\n| --- | --- |\n| 0 | 1, 2, 4 |\n| 1 | |\n| 2 | 9 |\n| 3 | 0 |\n| 4 | 3 |\n| 5 | |\n| 6 | 1 |\n| 7 | 4, 8 |" } ] }, { "id": "35017", "image": "35017.png", "conversations": [ { "from": "human", "question": "A grocery store recorded how many customers visited the store each day. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n74, 68, 66, 64, 68, 62, 60\n\nFirst, count how many numbers are in the group.\n\nThere are 7 numbers.\n\nNow add all the numbers together:\n\n74 + 68 + 66 + 64 + 68 + 62 + 60 = 462\n\nNow divide the sum by the number of numbers:\n\n462 ÷ 7 = 66\n\nThe mean is 66.", "answer": "66", "table": "**Grocery store customers**\n\n| Day | Number of customers |\n| --- | --- |\n| Thursday | 74 |\n| Friday | 68 |\n| Saturday | 66 |\n| Sunday | 64 |\n| Monday | 68 |\n| Tuesday | 62 |\n| Wednesday | 60 |" } ] }, { "id": "35021", "image": "35021.png", "conversations": [ { "from": "human", "question": "The members of the track team compared how many miles they ran last week. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n14, 15, 18, 12, 14, 15, 17\n\nFirst, count how many numbers are in the group.\n\nThere are 7 numbers.\n\nNow add all the numbers together:\n\n14 + 15 + 18 + 12 + 14 + 15 + 17 = 105\n\nNow divide the sum by the number of numbers:\n\n105 ÷ 7 = 15\n\nThe mean is 15.", "answer": "15", "table": "**Running miles**\n\n| Name | Miles |\n| --- | --- |\n| Katie | 14 |\n| Clara | 15 |\n| Rose | 18 |\n| Leah | 12 |\n| Jessica | 14 |\n| Wendy | 15 |\n| Edna | 17 |" } ] }, { "id": "35040", "image": "35040.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{2 - 11}{15 - 14}\n = \\frac{-9}{1}\n = -9\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{0 - 11}{16 - 14}\n = \\frac{-11}{2}\n = -5\\frac{1}{2}\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 14 | 11 |\n| 15 | 2 |\n| 16 | 0 |" } ] }, { "id": "35047", "image": "35047.png", "conversations": [ { "from": "human", "question": "While looking through an almanac at the library, Ariana noticed some data showing the population density of various states. How many more people per square mile lived in New Mexico in 2000 than in 1990?\n" }, { "from": "gpt", "solution": "Find the New Mexico row. Find the numbers in this row for 2000 and 1990.\n\n2000: 15\n1990: 12\n\nNow subtract:\n\n15 − 12 = 3\n\n3 more people per square mile lived in New Mexico in 2000 than in 1990.", "answer": "3", "table": "**Population per square mile**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| State | 1990 | 2000 |\n| New Mexico | 12 | 15 |\n| Montana | 5 | 6 |\n| Idaho | 12 | 15 |\n| South Dakota | 9 | 10 |" } ] }, { "id": "35054", "image": "35054.png", "conversations": [ { "from": "human", "question": "Becky buys 4 kilograms of Swiss chard. What is the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the Swiss chard. Multiply the price per kilogram by the number of kilograms.\n\n$1 × 4 = $4\n\nThe total cost is $4.", "answer": "4", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| romaine lettuce | $2/kg |\n| Chinese lettuce | $1/kg |\n| kale | $1/kg |\n| butterhead lettuce | $1/kg |\n| Swiss chard | $1/kg |\n| summer crisp lettuce | $2/kg |" } ] }, { "id": "35055", "image": "35055.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. At which stop does the train arrive at 12.00 P.M.?\n" }, { "from": "gpt", "solution": "Find 12:00 P. M. on the schedule. The train arrives at Spruce Road at 12:00 P. M.", "answer": "Spruce Road", "table": "**Subway train schedule**\n\n| Location | Time |\n| --- | --- |\n| Hillcrest Road | 11:00 A.M. |\n| Lincoln Street | 11:10 A.M. |\n| Railroad Boulevard | 11:35 A.M. |\n| Spruce Road | 12:00 P.M. |\n| Locust Boulevard | 12:25 P.M. |\n| East Avenue | 12:45 P.M. |\n| Sunset Road | 1:30 P.M. |\n| Cedar Avenue | 2:20 P.M. |\n| Jefferson Boulevard | 2:30 P.M. |\n| Lee Boulevard | 3:20 P.M. |" } ] }, { "id": "35064", "image": "35064.png", "conversations": [ { "from": "human", "question": "Francesca has $2.00. Does she have enough to buy a bottle of mustard and a bottle of ketchup?\n" }, { "from": "gpt", "solution": "Add the price of a bottle of mustard and the price of a bottle of ketchup:\n\n$0.94 + $0.80 = $1.74\n\n$1.74 is less than $2.00. Francesca does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| bottle of vinegar | $0.48 |\n| jar of tomato sauce | $0.84 |\n| bottle of hot sauce | $0.81 |\n| bottle of soy sauce | $0.76 |\n| bottle of mustard | $0.94 |\n| bottle of ketchup | $0.80 |" } ] }, { "id": "35071", "image": "35071.png", "conversations": [ { "from": "human", "question": "Baldwin has $16. How much money will Baldwin have left if he buys a bag of birdseed and a hamster wheel?\n" }, { "from": "gpt", "solution": "Find the total cost of a bag of birdseed and a hamster wheel.\n\n$5 + $7 = $12\n\nNow subtract the total cost from the starting amount.\n\n$16 - $12 = $4\n\nBaldwin will have $4 left.", "answer": "4", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| dog leash | $8 |\n| bag of birdseed | $5 |\n| hamster wheel | $7 |\n| box of dog biscuits | $4 |\n| bag of cat treats | $5 |\n| fish bowl | $9 |" } ] }, { "id": "35074", "image": "35074.png", "conversations": [ { "from": "human", "question": "An employee at the candle factory reported on the number of candles made each month. How many more candles did the factory make in March than in February?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nMarch: 5,321\nFebruary: 1,884\n\nNow subtract: 5,321 - 1,884 = 3,437.\n\nThe factory made 3,437 more candles in March.", "answer": "3,437", "table": "**Candles made**\n\n| Month | Number of candles |\n| --- | --- |\n| December | 2,973 |\n| January | 8,803 |\n| February | 1,884 |\n| March | 5,321 |\n| April | 6,691 |" } ] }, { "id": "35076", "image": "35076.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which game ends at 3.10 P.M.?\n" }, { "from": "gpt", "solution": "Find 3:10 P. M. on the schedule. The Thunder versus Blue Jays game ends at 3:10 P. M.", "answer": "Thunder versus Blue Jays game", "table": "**Baseball tournament schedule**\n\n| Game | Begin | End |\n| --- | --- | --- |\n| Cardinals versus Cobras | 10:15 A.M. | 12:00 P.M. |\n| Lions versus Eagles | 11:35 A.M. | 1:10 P.M. |\n| Lightning versus Ducks | 12:30 P.M. | 1:45 P.M. |\n| Fire versus Cyclones | 12:55 P.M. | 2:00 P.M. |\n| Thunder versus Blue Jays | 1:15 P.M. | 3:10 P.M. |\n| Wolves versus Jaguars | 2:45 P.M. | 4:30 P.M. |\n| Vipers versus Crocodiles | 4:15 P.M. | 5:30 P.M. |\n| Sharks versus Cougars | 5:25 P.M. | 7:10 P.M. |" } ] }, { "id": "35077", "image": "35077.png", "conversations": [ { "from": "human", "question": "How much more does a tangerine cost than a lemon?\n" }, { "from": "gpt", "solution": "Subtract the price of a lemon from the price of a tangerine.\n\n$0.38 - $0.19 = $0.19\n\nA tangerine costs $0.19 more than a lemon.", "answer": "0.19", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| onion | $0.36 |\n| orange | $0.65 |\n| tangerine | $0.38 |\n| lemon | $0.19 |" } ] }, { "id": "35078", "image": "35078.png", "conversations": [ { "from": "human", "question": "Maria counted the number of pairs of shoes for sale at each of the shoe stores in the mall. How many stores have at least 70 pairs of shoes?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 7, 8, and 9.\n\nYou counted 6 leaves, which are blue in the stem-and-leaf plot above. 6 stores have at least 70 pairs of shoes.", "answer": "6", "table": "**Pairs of shoes per store**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 9 |\n| 2 | 3, 5, 7, 8, 9 |\n| 3 | 3, 7 |\n| 4 | 2, 4, 4, 5, 6 |\n| 5 | 2, 7, 9 |\n| 6 | 7, 7, 9 |\n| 7 | 2 |\n| 8 | 2, 3, 4, 9 |\n| 9 | 0 |" } ] }, { "id": "35083", "image": "35083.png", "conversations": [ { "from": "human", "question": "Hazel counted the number of pieces of pepperoni on each pizza she made. How many pizzas had fewer than 50 pieces of pepperoni?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1, 2, 3, and 4.\n\nYou counted 21 leaves, which are blue in the stem-and-leaf plot above. 21 pizzas had fewer than 50 pieces of pepperoni.", "answer": "21", "table": "**Pieces of pepperoni per pizza**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 3, 3, 3, 6 |\n| 2 | 0, 2, 5, 5, 8, 9 |\n| 3 | 1, 2, 2, 3, 5 |\n| 4 | 1, 2, 4, 6, 7, 8 |" } ] }, { "id": "35087", "image": "35087.png", "conversations": [ { "from": "human", "question": "An employee at the craft store counted the number of red buttons in each bag of mixed buttons. What is the largest number of red buttons?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 7.\n\nNow find the highest leaf in the last row. The highest leaf is 7.\n\nThe largest number of red buttons has a stem of 7 and a leaf of 7. Write the stem first, then the leaf: 77.\n\nThe largest number of red buttons is 77 red buttons.", "answer": "77", "table": "**Red buttons per bag**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 0, 2, 4, 4 |\n| 3 | 6 |\n| 4 | 0, 2, 3, 4, 5, 8 |\n| 5 | 2, 3, 4, 6, 8, 9 |\n| 6 | 2, 7, 8 |\n| 7 | 1, 5, 6, 7 |" } ] }, { "id": "35097", "image": "35097.png", "conversations": [ { "from": "human", "question": "Jim's Candies has been studying how much chocolate people have been eating in different countries. How much more chocolate did Belgium consume per capita in 2005 than in 2002?\n" }, { "from": "gpt", "solution": "Find the Belgium row. Find the numbers in this row for 2005 and 2002.\n\n2005: 11\n2002: 8\n\nNow subtract:\n\n11 − 8 = 3\n\nBelgium consumed 3 kilograms more chocolate per capita in 2005 than in 2002.", "answer": "3", "table": "**Chocolate consumption per capita (kg)**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 2002 | 2005 |\n| Denmark | 9 | 8 |\n| Sweden | 8 | 7 |\n| Germany | 10 | 11 |\n| Belgium | 8 | 11 |\n| Australia | 4 | 5 |" } ] }, { "id": "35112", "image": "35112.png", "conversations": [ { "from": "human", "question": "A garden supply store kept track of how many lawn mowers it sold in the past 7 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n10, 7, 8, 2, 1, 2, 10\n\nFirst, find the greatest number. The greatest number is 10.\n\nNext, find the least number. The least number is 1.\n\nSubtract the least number from the greatest number:\n\n10 − 1 = 9\n\nThe range is 9.", "answer": "9", "table": "**Lawn mowers sold**\n\n| Day | Number of lawn mowers |\n| --- | --- |\n| Wednesday | 10 |\n| Thursday | 7 |\n| Friday | 8 |\n| Saturday | 2 |\n| Sunday | 1 |\n| Monday | 2 |\n| Tuesday | 10 |" } ] }, { "id": "35119", "image": "35119.png", "conversations": [ { "from": "human", "question": "A food magazine published a listing of local restaurant ratings. How many restaurants were rated at least 31 points?\n" }, { "from": "gpt", "solution": "Find the row with stem 3. Count all the leaves greater than or equal to 1.\n\nCount all the leaves in the rows with stems 4 and 5.\n\nYou counted 5 leaves, which are blue in the stem-and-leaf plots above. 5 restaurants were rated at least 31 points.", "answer": "5", "table": "**Restaurant ratings**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 2, 3, 5 |\n| 2 | |\n| 3 | 6, 6, 7 |\n| 4 | 9 |\n| 5 | 0 |" } ] }, { "id": "35120", "image": "35120.png", "conversations": [ { "from": "human", "question": "How much more does a DVD player cost than an alarm clock?\n" }, { "from": "gpt", "solution": "Subtract the price of an alarm clock from the price of a DVD player.\n\n$51.00 - $14.00 = $37.00\n\nA DVD player costs $37.00 more than an alarm clock.", "answer": "37", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| alarm clock | $14.00 |\n| DVD player | $51.00 |\n| computer keyboard | $15.00 |\n| computer mouse | $14.00 |" } ] }, { "id": "35124", "image": "35124.png", "conversations": [ { "from": "human", "question": "The Salem Middle School fundraising committee found out how many sweatshirts students already had, in order to decide whether to sell sweatshirts for a fundraiser. How many students in the class have exactly 5 sweatshirts?\n" }, { "from": "gpt", "solution": "Find the row for 5 sweatshirts and read the frequency. The frequency is 17.\n\n17 students have exactly 5 sweatshirts.", "answer": "17", "table": "**Sweatshirts**\n\n| Number of sweatshirts | Frequency |\n| --- | --- |\n| 0 | 11 |\n| 1 | 18 |\n| 2 | 0 |\n| 3 | 14 |\n| 4 | 10 |\n| 5 | 17 |\n| 6 | 4 |" } ] }, { "id": "35127", "image": "35127.png", "conversations": [ { "from": "human", "question": "Nathan, who rents properties for a living, measures all the offices in a building he is renting. How many offices are exactly 38 square meters?\n" }, { "from": "gpt", "solution": "For the number 38, the stem is 3, and the leaf is 8. Find the row where the stem is 3. In that row, count all the leaves equal to 8.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 offices are exactly 38 square meters.", "answer": "2", "table": "**Office sizes (square meters)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 3 |\n| 2 | |\n| 3 | 8, 8 |\n| 4 | 2 |\n| 5 | |\n| 6 | 8 |\n| 7 | 6 |\n| 8 | 8 |" } ] }, { "id": "35136", "image": "35136.png", "conversations": [ { "from": "human", "question": "The school cafeteria asked students about their favorite sandwiches before updating the lunch menu. How many more upper elementary students than lower elementary students voted for peanut butter sandwiches?\n" }, { "from": "gpt", "solution": "Find the Peanut butter row. Find the numbers in this row for upper elementary students and lower elementary students.\n\nupper elementary students: 17\nlower elementary students: 13\n\nNow subtract:\n\n17 − 13 = 4\n\n4 more upper elementary students than lower elementary students voted for peanut butter sandwiches.", "answer": "4", "table": "**Favorite sandwiches**\n\n| Sandwich | Lower elementary students | Upper elementary students |\n| --- | --- | --- |\n| Ham | 4 | 10 |\n| Peanut butter | 13 | 17 |\n| Cheese | 6 | 11 |" } ] }, { "id": "35150", "image": "35150.png", "conversations": [ { "from": "human", "question": "Jasmine's Treats counted how many times its most frequent customers ate ice cream last month. How many customers ate ice cream at least 1 time?\n" }, { "from": "gpt", "solution": "Find the rows for 1, 2, 3, and 4 times. Add the frequencies for these rows.\n\nAdd:\n\n13 + 14 + 4 + 7 = 38\n\n38 customers ate ice cream at least 1 time.", "answer": "38", "table": "**Eating ice cream last month**\n\n| Times eaten | Frequency |\n| --- | --- |\n| 0 | 15 |\n| 1 | 13 |\n| 2 | 14 |\n| 3 | 4 |\n| 4 | 7 |" } ] }, { "id": "35151", "image": "35151.png", "conversations": [ { "from": "human", "question": "A pottery factory kept track of the number of broken plates per shipment last week. What is the smallest number of broken plates?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 3.\n\nNow find the lowest leaf in the first row. The lowest leaf is 2.\n\nThe smallest number of broken plates has a stem of 3 and a leaf of 2. Write the stem first, then the leaf: 32.\n\nThe smallest number of broken plates is 32 broken plates.", "answer": "32", "table": "**Broken plates per shipment**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 2, 3, 4, 7 |\n| 4 | 2 |\n| 5 | 0, 0, 8, 9 |\n| 6 | 2, 5 |\n| 7 | 1, 3, 7 |\n| 8 | 0, 1, 7, 7, 8 |" } ] }, { "id": "35158", "image": "35158.png", "conversations": [ { "from": "human", "question": "Evan went on a vacation to an amusement park and counted how many rides he went on each day. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 8, 4, 6, 5\n\nFirst, arrange the numbers from least to greatest:\n\n4, 5, 6, 7, 8\n\nNow find the number in the middle.\n\n4, 5, 6, 7, 8\n\nThe number in the middle is 6.\n\nThe median is 6.", "answer": "6", "table": "**Amusement park rides**\n\n| Day | Number of rides |\n| --- | --- |\n| Wednesday | 7 |\n| Thursday | 8 |\n| Friday | 4 |\n| Saturday | 6 |\n| Sunday | 5 |" } ] }, { "id": "35164", "image": "35164.png", "conversations": [ { "from": "human", "question": "A volunteer for the local running club counted the number of participants at each race. How many races had at least 10 participants but fewer than 40 participants?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1, 2, and 3.\n\nYou counted 9 leaves, which are blue in the stem-and-leaf plot above. 9 races had at least 10 participants but fewer than 40 participants.", "answer": "9", "table": "**Participants per race**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 2, 3, 4, 5, 6 |\n| 2 | 1, 1, 9, 9 |\n| 3 | |\n| 4 | |\n| 5 | 5 |\n| 6 | 3, 9 |\n| 7 | 6, 7 |\n| 8 | 2, 6 |" } ] }, { "id": "35165", "image": "35165.png", "conversations": [ { "from": "human", "question": "The staff of a game show tracked the performance of all the contestants during the past season. How many people scored at least 45 points?\n" }, { "from": "gpt", "solution": "Find the row with stem 4. Count all the leaves greater than or equal to 5.\n\nCount all the leaves in the rows with stems 5 and 6.\n\nYou counted 13 leaves, which are blue in the stem-and-leaf plots above. 13 people scored at least 45 points.", "answer": "13", "table": "**Game show scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 4 |\n| 2 | 0, 1, 1, 6, 9 |\n| 3 | 1, 2, 9, 9 |\n| 4 | 4, 9, 9 |\n| 5 | 1, 2, 3, 4, 5, 8 |\n| 6 | 0, 0, 3, 7, 8 |" } ] }, { "id": "35168", "image": "35168.png", "conversations": [ { "from": "human", "question": "How much money does Brenda need to buy a crossword puzzle book and a geography book?\n" }, { "from": "gpt", "solution": "Add the price of a crossword puzzle book and the price of a geography book:\n\n$19.40 + $22.85 = $42.25\n\nBrenda needs $42.25.", "answer": "42.25", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| picture book | $21.16 |\n| crossword puzzle book | $19.40 |\n| science book | $19.72 |\n| coloring book | $18.15 |\n| geography book | $22.85 |\n| math book | $18.48 |" } ] }, { "id": "35179", "image": "35179.png", "conversations": [ { "from": "human", "question": "Keenan works at a coffee shop on weekends. Every now and then, a customer will order a hot tea and ask Keenan to surprise them with the flavor. The teas are categorized by flavor and caffeine level. What is the probability that a randomly selected tea is caffeinated and mint? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the tea is caffeinated\" and B be the event \"the tea is mint\".\nTo find the probability that a tea is caffeinated and mint, first identify the sample space and the event.\nThe outcomes in the sample space are the different teas. Each tea is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the tea is caffeinated and mint\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the tea is caffeinated and mint\", so look at the table to see how many teas are caffeinated and mint.\nThe number of teas that are caffeinated and mint is 5.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of teas.\n2 + 5 + 2 + 4 = 13\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{5}{13}\nThe probability that a tea is caffeinated and mint is \\frac{5}{13}.", "answer": "5/13", "table": "| | Mint | Fruity |\n| --- | --- | --- |\n| Caffeine-free | 2 | 2 |\n| Caffeinated | 5 | 4 |" } ] }, { "id": "35183", "image": "35183.png", "conversations": [ { "from": "human", "question": "Jeanette kept a tally of the number of emails she received each day for a week. According to the table, what was the rate of change between Thursday and Friday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{3 emails - 3 emails}{1 day}\n = \\frac{0 emails}{1 day}\n = 0 emails per day\nThe rate of change between Thursday and Friday was 0 emails per day.", "answer": "0", "table": "**Emails Jeanette received**\n\n| Day | Emails |\n| --- | --- |\n| Monday | 10 |\n| Tuesday | 1 |\n| Wednesday | 8 |\n| Thursday | 3 |\n| Friday | 3 |" } ] }, { "id": "35185", "image": "35185.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{16 - 15}{8 - 7}\n = \\frac{1}{1}\n = 1\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{17 - 15}{9 - 7}\n = \\frac{2}{2}\n = 1\nThe two rates of change are the same.\nIf you checked the rate of change between rows 2 and 3, you would find that it is also 1.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 7 | 15 |\n| 8 | 16 |\n| 9 | 17 |" } ] }, { "id": "35186", "image": "35186.png", "conversations": [ { "from": "human", "question": "How much more does a bat signed by a famous baseball player cost than a photograph signed by a famous television star?\n" }, { "from": "gpt", "solution": "Subtract the price of a photograph signed by a famous television star from the price of a bat signed by a famous baseball player.\n\n$4,410.00 - $3,889.00 = $521.00\n\nA bat signed by a famous baseball player costs $521.00 more than a photograph signed by a famous television star.", "answer": "521", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| bat signed by a famous baseball player | $4,410.00 |\n| photograph signed by a famous movie star | $7,282.00 |\n| photograph signed by a famous race car driver | $1,664.00 |\n| jersey signed by a famous hockey player | $1,691.00 |\n| painting signed by a famous artist | $5,405.00 |\n| photograph signed by a famous television star | $3,889.00 |" } ] }, { "id": "35187", "image": "35187.png", "conversations": [ { "from": "human", "question": "An Idaho farmer has been monitoring crop prices over time. Per cwt, how much did onions cost in 2006?\n" }, { "from": "gpt", "solution": "First, find the row for onions. Then find the number in the 2006 column.\n\nThis number is $17.00. In 2006, onions cost $17 per cwt.", "answer": "17", "table": "**Idaho crop prices per cwt**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Crop | 2005 | 2006 |\n| Potatoes | $6 | $6 |\n| Peas | $6 | $8 |\n| Onions | $8 | $17 |\n| Timothy seed | $7 | $11 |\n| Lentils | $12 | $16 |" } ] }, { "id": "35189", "image": "35189.png", "conversations": [ { "from": "human", "question": "Arianna counted the number of peanuts in each bag of trail mix. What is the largest number of peanuts?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 8.\n\nNow find the highest leaf in the last row. The highest leaf is 9.\n\nThe largest number of peanuts has a stem of 8 and a leaf of 9. Write the stem first, then the leaf: 89.\n\nThe largest number of peanuts is 89 peanuts.", "answer": "89", "table": "**Peanuts per bag of trail mix**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 7 |\n| 2 | 6 |\n| 3 | 7 |\n| 4 | 5 |\n| 5 | |\n| 6 | |\n| 7 | 7 |\n| 8 | 8, 9 |" } ] }, { "id": "35198", "image": "35198.png", "conversations": [ { "from": "human", "question": "Diana bought a bag of colored chocolate candies. Before putting them into a bowl, she counted the number of candies of each color in a frequency chart. Diana then puts another bag of 56 black and white chocolate candies into a second bowl. How many candies are in both bowls combined?\n" }, { "from": "gpt", "solution": "Step 1: Find how many candies are in the first bowl.\nAdd all of the frequencies.\n7 + 12 + 8 + 11 + 13 + 7 = 58\nSo, there are 58 candies in the first bowl.\nStep 2: Find how many candies are in both bowls combined.\nAdd the number of candies in the first bowl and the number in the second bowl.\n58 + 56 = 114\nSo, there are 114 candies in both bowls combined.", "answer": "114", "table": "**Chocolate candies in bowl**\n\n| Color | Frequency |\n| --- | --- |\n| red | 7 |\n| orange | 12 |\n| yellow | 8 |\n| green | 11 |\n| blue | 13 |\n| brown | 7 |" } ] }, { "id": "35202", "image": "35202.png", "conversations": [ { "from": "human", "question": "For a science fair project, Ruben tracked the temperature each day. How many temperature readings were at least 10°C?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1, 2, 3, and 4.\n\nYou counted 12 leaves, which are blue in the stem-and-leaf plot above. 12 temperature readings were at least 10°C.", "answer": "12", "table": "**Daily temperatures (°C)**\n\n| Stem | Leaf |\n| --- | --- |\n| 0 | 0, 7, 8 |\n| 1 | 2, 3, 6 |\n| 2 | 0, 4, 5, 7, 9 |\n| 3 | 8, 8 |\n| 4 | 1, 3 |" } ] }, { "id": "35211", "image": "35211.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{7 - 1}{2 - 1}\n = \\frac{6}{1}\n = 6\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{13 - 1}{3 - 1}\n = \\frac{12}{2}\n = 6\nThe two rates of change are the same.\nIf you checked the rate of change between rows 2 and 3, you would find that it is also 6.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 1 | 1 |\n| 2 | 7 |\n| 3 | 13 |" } ] }, { "id": "35216", "image": "35216.png", "conversations": [ { "from": "human", "question": "Dalton's Candies has been studying how much chocolate people have been eating in different countries. In 2005, how much more chocolate did Belgium consume per capita than Denmark?\n" }, { "from": "gpt", "solution": "Find the 2005 column. Find the numbers in this column for Belgium and Denmark.\n\nBelgium: 11\nDenmark: 8\n\nNow subtract:\n\n11 − 8 = 3\n\nIn 2005, Belgium consumed 3 kilograms more chocolate per capita than Denmark.", "answer": "3", "table": "**Chocolate consumption per capita (kg)**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 2002 | 2005 |\n| Denmark | 9 | 8 |\n| Germany | 10 | 11 |\n| Belgium | 8 | 11 |" } ] }, { "id": "35219", "image": "35219.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Melissa is at Gecko Paradise at 11.15 P.M. How soon can she get to Happy Cow Farm?\n" }, { "from": "gpt", "solution": "Look at the row for Gecko Paradise. Find the next train departing from Gecko Paradise after 11:15 P. M. This train departs from Gecko Paradise at 11:30 P. M.\n\nLook down the column until you find the row for Happy Cow Farm.\n\nMelissa will get to Happy Cow Farm at 2:00 A. M.", "answer": "2:00 A.M.", "table": "**Train schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 | Column 5 | Column 6 |\n| --- | --- | --- | --- | --- | --- |\n| Magician Village | 5:45 A.M. | 9:30 A.M. | 12:15 P.M. | 8:45 P.M. | 9:15 P.M. |\n| Floral Gardens | 6:15 A.M. | 10:00 A.M. | 12:45 P.M. | 9:15 P.M. | 9:45 P.M. |\n| Chickenville | 7:00 A.M. | 10:45 A.M. | 1:30 P.M. | 10:00 P.M. | 10:30 P.M. |\n| Gecko Paradise | 8:00 A.M. | 11:45 A.M. | 2:30 P.M. | 11:00 P.M. | 11:30 P.M. |\n| Pleasant River Campground | 8:30 A.M. | 12:15 P.M. | 3:00 P.M. | 11:30 P.M. | 12:00 A.M. |\n| Skyscraper City | 9:15 A.M. | 1:00 P.M. | 3:45 P.M. | 12:15 A.M. | 12:45 A.M. |\n| Rocky Ravine Town | 10:00 A.M. | 1:45 P.M. | 4:30 P.M. | 1:00 A.M. | 1:30 A.M. |\n| Happy Cow Farm | 10:30 A.M. | 2:15 P.M. | 5:00 P.M. | 1:30 A.M. | 2:00 A.M. |" } ] }, { "id": "35222", "image": "35222.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Nicole is at the shopping district. If she wants to arrive at the theater district at 10.15 A.M., what time should she get on the train?\n" }, { "from": "gpt", "solution": "Look at the row for the theater district. Find the train that arrives at the theater district at 10:15 A. M.\n\nLook up the column until you find the row for the shopping district.\n\nNicole should get on the train at 9:30 A. M.", "answer": "9:30 A.M.", "table": "**Subway train schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 | Column 5 | Column 6 |\n| --- | --- | --- | --- | --- | --- |\n| shopping district | 8:15 A.M. | 9:30 A.M. | 10:00 A.M. | 10:45 A.M. | 11:00 A.M. |\n| theater district | 9:00 A.M. | 10:15 A.M. | 10:45 A.M. | 11:30 A.M. | 11:45 A.M. |\n| history museum | 10:00 A.M. | 11:15 A.M. | 11:45 A.M. | 12:30 P.M. | 12:45 P.M. |\n| restaurant district | 11:00 A.M. | 12:15 P.M. | 12:45 P.M. | 1:30 P.M. | 1:45 P.M. |\n| civic center | 12:00 P.M. | 1:15 P.M. | 1:45 P.M. | 2:30 P.M. | 2:45 P.M. |\n| downtown | 12:45 P.M. | 2:00 P.M. | 2:30 P.M. | 3:15 P.M. | 3:30 P.M. |\n| city park | 1:15 P.M. | 2:30 P.M. | 3:00 P.M. | 3:45 P.M. | 4:00 P.M. |\n| baseball stadium | 1:30 P.M. | 2:45 P.M. | 3:15 P.M. | 4:00 P.M. | 4:15 P.M. |\n| waterfront | 2:15 P.M. | 3:30 P.M. | 4:00 P.M. | 4:45 P.M. | 5:00 P.M. |" } ] }, { "id": "35225", "image": "35225.png", "conversations": [ { "from": "human", "question": "A survey asked office workers what they like to do when taking a break from work. What fraction of the respondents preferred stretching? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many respondents preferred stretching.\n\n820\n\nFind how many people responded in total.\n\n360 + 820 + 780 + 440 = 2,400\n\nDivide 820 by2,400.\n\n\\frac{820}{2,400}\n\nReduce the fraction.\n\n\\frac{820}{2,400} → \\frac{41}{120}\n\n\\frac{41}{120} of respondents preferred stretching.", "answer": "41/120", "table": "**Preferred break activities**\n\n| Activity | Number of respondents |\n| --- | --- |\n| Taking a walk | 360 |\n| Stretching | 820 |\n| Chatting with coworkers | 780 |\n| Making phone calls | 440 |" } ] }, { "id": "35236", "image": "35236.png", "conversations": [ { "from": "human", "question": "A grocery store tracked how many bananas it sold each day. On which day did the grocery store sell the most bananas?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 78.\n\nNow find the corresponding day. Sunday corresponds to 78.", "answer": "Sunday", "table": "**Bananas sold**\n\n| Day | Number of bananas |\n| --- | --- |\n| Thursday | 71 |\n| Friday | 74 |\n| Saturday | 76 |\n| Sunday | 78 |" } ] }, { "id": "35238", "image": "35238.png", "conversations": [ { "from": "human", "question": "Mrs. Allen, the science teacher, informed her students of their scores on Monday's test. How many students scored exactly 28 points?\n" }, { "from": "gpt", "solution": "For the number 28, the stem is 2, and the leaf is 8. Find the row where the stem is 2. In that row, count all the leaves equal to 8.\n\nYou counted 0 leaves. 0 students scored exactly28 points.", "answer": "0", "table": "**Science test scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 7 |\n| 2 | 6 |\n| 3 | 6, 6 |\n| 4 | |\n| 5 | |\n| 6 | 5 |\n| 7 | 5 |" } ] }, { "id": "35242", "image": "35242.png", "conversations": [ { "from": "human", "question": "A pair of Lee High School hockey fans counted the number of games won by the school each year. According to the table, what was the rate of change between 2010 and 2011?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{3 games - 10 games}{2011 - 2010}\n = \\frac{3 games - 10 games}{1 year}\n = \\frac{-7 games}{1 year}\n = -7 games per year\nThe rate of change between 2010 and 2011 was - 7 games per year.", "answer": "-7", "table": "**Hockey games won by Lee High**\n\n| Year | Games won |\n| --- | --- |\n| 2010 | 10 |\n| 2011 | 3 |\n| 2012 | 13 |\n| 2013 | 6 |\n| 2014 | 9 |" } ] }, { "id": "35255", "image": "35255.png", "conversations": [ { "from": "human", "question": "How much more does an Australian vacation package cost than a Jamaican vacation package?\n" }, { "from": "gpt", "solution": "Subtract the price of a Jamaican vacation package from the price of an Australian vacation package.\n\n$9,664 - $7,039 = $2,625\n\nAn Australian vacation package costs $2,625 more than a Jamaican vacation package.", "answer": "2,625", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| European vacation package | $7,668 |\n| African safari vacation package | $4,813 |\n| Jamaican vacation package | $7,039 |\n| Australian vacation package | $9,664 |\n| Hawaiian vacation package | $4,383 |" } ] }, { "id": "35260", "image": "35260.png", "conversations": [ { "from": "human", "question": "Rick's P.E. class participated in a push-up competition, and Rick wrote down how many push-ups each person could do. How many people did at least 64 push-ups but fewer than 68 push-ups?\n" }, { "from": "gpt", "solution": "Find the row with stem 6. Count all the leaves greater than or equal to 4 and less than 8.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 people did at least 64 push-ups but fewer than 68 push-ups.", "answer": "2", "table": "**Push-up competition (number of push-ups)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 4 |\n| 2 | 1, 2, 2 |\n| 3 | 2, 3, 7, 8, 9, 9 |\n| 4 | 0, 6 |\n| 5 | 1, 1 |\n| 6 | 2, 2, 7, 7, 8 |\n| 7 | 0, 1, 5, 8 |\n| 8 | |\n| 9 | 0, 0 |" } ] }, { "id": "35261", "image": "35261.png", "conversations": [ { "from": "human", "question": "For a study on numerical psychology, people were polled about which number between 1 and 5 they like most, and why. How many people said a number greater than 2?\n" }, { "from": "gpt", "solution": "Find the rows for 3, 4, and 5. Add the frequencies for these rows.\n\nAdd:\n\n14 + 2 + 19 = 35\n\n35 people said a number greater than 2.", "answer": "35", "table": "**People's favorite numbers between 1 and 5**\n\n| Favorite number | Frequency |\n| --- | --- |\n| 1 | 0 |\n| 2 | 17 |\n| 3 | 14 |\n| 4 | 2 |\n| 5 | 19 |" } ] }, { "id": "35269", "image": "35269.png", "conversations": [ { "from": "human", "question": "How much money does Shelley need to buy a cat calendar and a mystery novel?\n" }, { "from": "gpt", "solution": "Add the price of a cat calendar and the price of a mystery novel:\n\n$5 + $3 = $8\n\nShelley needs $8.", "answer": "8", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| cat calendar | $5 |\n| map of Africa | $7 |\n| cookbook | $3 |\n| mystery novel | $3 |" } ] }, { "id": "35271", "image": "35271.png", "conversations": [ { "from": "human", "question": "Look at this table. Is this relation a function?\n" }, { "from": "gpt", "solution": "Look at the x-values in the table.\n\nEach of the x-values is paired with only one y-value, so the relation is a function.", "answer": "yes", "table": "| x | y |\n| --- | --- |\n| 12 | 8 |\n| 3 | 1 |\n| 20 | 2 |\n| 2 | 11 |" } ] }, { "id": "35275", "image": "35275.png", "conversations": [ { "from": "human", "question": "If Preston buys 4.9 pounds of whole wheat pancake mix, how much will he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the whole wheat pancake mix. Multiply the price per pound by the number of pounds.\n$3 × 4.9 = $14.70\nHe will spend $14.70.", "answer": "14.70", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| blueberry pancake mix | $3/lb |\n| whole wheat pancake mix | $3/lb |\n| plain pancake mix | $1/lb |\n| buttermilk pancake mix | $1/lb |" } ] }, { "id": "35286", "image": "35286.png", "conversations": [ { "from": "human", "question": "A museum curator counted the number of paintings in each exhibit at the art museum. How many exhibits have fewer than 80 paintings?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1, 2, 3, 4, 5, 6, and 7.\n\nYou counted 13 leaves, which are blue in the stem-and-leaf plot above. 13 exhibits have fewer than 80 paintings.", "answer": "13", "table": "**Paintings per exhibit**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1, 4, 9 |\n| 2 | 6 |\n| 3 | 4, 4, 5, 5 |\n| 4 | 7 |\n| 5 | 0 |\n| 6 | 5 |\n| 7 | 2, 6 |" } ] }, { "id": "35289", "image": "35289.png", "conversations": [ { "from": "human", "question": "A bookstore employee looked up how many books were sold each month. In which month did the bookstore sell the fewest books?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 769.\n\nNow find the corresponding month. June corresponds to 769.", "answer": "June", "table": "**Number of books sold**\n\n| Month | Number of books |\n| --- | --- |\n| April | 797 |\n| May | 796 |\n| June | 769 |\n| July | 776 |" } ] }, { "id": "35290", "image": "35290.png", "conversations": [ { "from": "human", "question": "The employee at the department store counted the number of ties on each tie rack. How many racks have at least 0 ties?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 0, 1, 2, 3, 4, 5, 6, and 7.\n\nYou counted 25 leaves, which are blue in the stem-and-leaf plot above. 25 racks have at least 0 ties.", "answer": "25", "table": "**Ties per rack**\n\n| Stem | Leaf |\n| --- | --- |\n| 0 | 6 |\n| 1 | 2 |\n| 2 | 0, 0, 5, 5, 6 |\n| 3 | 4, 6, 7 |\n| 4 | 2, 3, 4, 7, 8, 8 |\n| 5 | 0, 2, 3, 6 |\n| 6 | 5, 9 |\n| 7 | 4, 7, 9 |" } ] }, { "id": "35292", "image": "35292.png", "conversations": [ { "from": "human", "question": "The aquarium's records showed how many tickets were sold in the past 4 days. On which day did the aquarium sell the most tickets?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 282.\n\nNow find the corresponding day. Thursday corresponds to 282.", "answer": "Thursday", "table": "**Tickets sold**\n\n| Day | Number of tickets |\n| --- | --- |\n| Thursday | 282 |\n| Friday | 238 |\n| Saturday | 231 |\n| Sunday | 228 |" } ] }, { "id": "35296", "image": "35296.png", "conversations": [ { "from": "human", "question": "Gwen wants to buy 3 pounds of tapioca pudding. How much will she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the tapioca pudding. Multiply the price per pound by the number of pounds.\n\n$4.42 × 3 = $13.26\n\nShe will spend $13.26.", "answer": "13.26", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| chocolate pudding | $3.05/pound |\n| rice pudding | $4.68/pound |\n| tapioca pudding | $4.42/pound |\n| vanilla pudding | $6.92/pound |\n| butterscotch pudding | $2.68/pound |" } ] }, { "id": "35297", "image": "35297.png", "conversations": [ { "from": "human", "question": "While compiling photos for an album, Ken noted the number of photographs taken by each of his friends and family. How many people are there in all?\n" }, { "from": "gpt", "solution": "Add the frequencies for each row.\n\nAdd:\n\n13 + 20 + 6 + 10 + 5 = 54\n\nThere are 54 people in all.", "answer": "54", "table": "**Taking photographs**\n\n| Photographs taken | Frequency |\n| --- | --- |\n| 0 | 13 |\n| 1 | 20 |\n| 2 | 6 |\n| 3 | 10 |\n| 4 | 5 |" } ] }, { "id": "35299", "image": "35299.png", "conversations": [ { "from": "human", "question": "As part of a food drive, three friends collected canned food. What fraction of the cans were collected by Janelle? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many cans were collected by Janelle.\n\n83\n\nFind how many cans were collected in total.\n\n53 + 36 + 83 = 172\n\nDivide 83 by172.\n\n\\frac{83}{172}\n\n\\frac{83}{172} of cans were collected by Janelle.", "answer": "83/172", "table": "**Cans of food collected**\n\n| Name | Number of cans of food |\n| --- | --- |\n| Sam | 53 |\n| Lucas | 36 |\n| Janelle | 83 |" } ] }, { "id": "35301", "image": "35301.png", "conversations": [ { "from": "human", "question": "Oliver went to the store and bought 5 kilograms of lemon bars. How much did he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the lemon bars. Multiply the price per kilogram by the number of kilograms.\n\n$3 × 5 = $15\n\nHe spent $15.", "answer": "15", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| lemon bars | $3/kg |\n| cream cheese bars | $1/kg |\n| popcorn balls | $3/kg |\n| blueberry bars | $1/kg |\n| coffee cake | $3/kg |\n| puffed rice bars | $1/kg |" } ] }, { "id": "35306", "image": "35306.png", "conversations": [ { "from": "human", "question": "A girl compared the ages of her cousins. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n3, 3, 2, 6, 1\n\nFirst, count how many numbers are in the group.\n\nThere are 5 numbers.\n\nNow add all the numbers together:\n\n3 + 3 + 2 + 6 + 1 = 15\n\nNow divide the sum by the number of numbers:\n\n15 ÷ 5 = 3\n\nThe mean is 3.", "answer": "3", "table": "**Ages of cousins**\n\n| Name | Age (years) |\n| --- | --- |\n| Norma | 3 |\n| Wendy | 3 |\n| Emir | 2 |\n| Aubrey | 6 |\n| Jaylen | 1 |" } ] }, { "id": "35311", "image": "35311.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $525, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $525, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $195 | 19,300 | 11,100 |\n| $305 | 18,700 | 13,100 |\n| $415 | 18,100 | 15,100 |\n| $525 | 17,500 | 17,100 |\n| $635 | 16,900 | 19,100 |" } ] }, { "id": "35317", "image": "35317.png", "conversations": [ { "from": "human", "question": "How much money does Trent need to buy 8 energy-saving laptops?\n" }, { "from": "gpt", "solution": "Find the total cost of 8 energy-saving laptops by multiplying 8 times the price of an energy-saving laptop.\n\n$3,053 × 8 = $24,424\n\nTrent needs $24,424.", "answer": "24,424", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| wide-screen desktop | $2,338 |\n| bright blue desktop | $4,423 |\n| energy-saving desktop | $8,625 |\n| energy-saving laptop | $3,053 |" } ] }, { "id": "35320", "image": "35320.png", "conversations": [ { "from": "human", "question": "Barbara counted the number of words per page in her new book. What is the smallest number of words?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 2.\n\nNow find the lowest leaf in the first row. The lowest leaf is 0.\n\nThe smallest number of words has a stem of 2 and a leaf of 0. Write the stem first, then the leaf: 20.\n\nThe smallest number of words is 20 words.", "answer": "20", "table": "**Words per page**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 0, 5, 9 |\n| 3 | |\n| 4 | |\n| 5 | 6 |\n| 6 | |\n| 7 | 6 |\n| 8 | 4 |\n| 9 | 0 |" } ] }, { "id": "35321", "image": "35321.png", "conversations": [ { "from": "human", "question": "Each restaurant table has 2 salt shakers. How many salt shakers are on 3 restaurant tables?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 6 salt shakers on 3 restaurant tables.", "answer": "6", "table": "| Number of restaurant tables | Number of salt shakers |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | ? |" } ] }, { "id": "35325", "image": "35325.png", "conversations": [ { "from": "human", "question": "Laura jotted down how many baskets she made during basketball practice each day. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n2, 10, 8, 3, 4, 8, 7\n\nFirst, count how many numbers are in the group.\n\nThere are 7 numbers.\n\nNow add all the numbers together:\n\n2 + 10 + 8 + 3 + 4 + 8 + 7 = 42\n\nNow divide the sum by the number of numbers:\n\n42 ÷ 7 = 6\n\nThe mean is 6.", "answer": "6", "table": "**Baskets made**\n\n| Day | Number of baskets |\n| --- | --- |\n| Monday | 2 |\n| Tuesday | 10 |\n| Wednesday | 8 |\n| Thursday | 3 |\n| Friday | 4 |\n| Saturday | 8 |\n| Sunday | 7 |" } ] }, { "id": "35326", "image": "35326.png", "conversations": [ { "from": "human", "question": "For an assignment, Meg looked at which countries got the most Nobel Prizes in various decades. How many Nobel Prize winners did Holland have in the 1970s?\n" }, { "from": "gpt", "solution": "First, find the row for Holland. Then find the number in the 1970 s column.\n\nThis number is 2. Holland had 2 Nobel Prize winners in the 1970 s.", "answer": "2", "table": "**Nobel Prize winners**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 1970s | 1980s |\n| Russia | 5 | 1 |\n| France | 3 | 5 |\n| Holland | 2 | 2 |\n| Canada | 2 | 3 |" } ] }, { "id": "35329", "image": "35329.png", "conversations": [ { "from": "human", "question": "Professor McMillan informed his students of their scores on the midterm exam. How many students scored fewer than 50 points?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1, 2, 3, and 4.\n\nYou counted 10 leaves, which are blue in the stem-and-leaf plot above. 10 students scored fewer than 50 points.", "answer": "10", "table": "**Midterm exam scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1, 4, 7, 7 |\n| 2 | 0, 2 |\n| 3 | 7, 7, 9 |\n| 4 | 9 |\n| 5 | 1, 7 |\n| 6 | 2 |\n| 7 | 2 |\n| 8 | 1, 4 |\n| 9 | 0 |" } ] }, { "id": "35334", "image": "35334.png", "conversations": [ { "from": "human", "question": "Each shelf has 5 belts. How many belts are on 3 shelves?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 15 belts on 3 shelves.", "answer": "15", "table": "| Number of shelves | Number of belts |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | ? |" } ] }, { "id": "35337", "image": "35337.png", "conversations": [ { "from": "human", "question": "For an economics project, Nancy determined the cost of ferry rides for bicycles and cars. Of the ferries shown, which charges the least for a bicycle?\n" }, { "from": "gpt", "solution": "Look at the numbers in the Bicycle column. Find the least number in this column.\n\nThe least number is $2.00, which is in the Southport-Fort Fisher row. The Southport-Fort Fisher ferry charges the least for a bicycle.", "answer": "Southport-Fort Fisher", "table": "**Ferry fares**\n\n| Ferry | Bicycle | Car |\n| --- | --- | --- |\n| Southport-Fort Fisher | $2 | $5 |\n| Fauntleroy-Vashon | $5 | $15 |\n| Mukilteu-Clinton | $5 | $7 |" } ] }, { "id": "35341", "image": "35341.png", "conversations": [ { "from": "human", "question": "Malia spent a week at the beach and recorded the number of shells she found each day. According to the table, what was the rate of change between Tuesday and Wednesday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{9 shells - 6 shells}{1 day}\n = \\frac{3 shells}{1 day}\n = 3 shells per day\nThe rate of change between Tuesday and Wednesday was 3 shells per day.", "answer": "3", "table": "**Shells Malia found**\n\n| Day | Number of shells |\n| --- | --- |\n| Monday | 0 |\n| Tuesday | 6 |\n| Wednesday | 9 |\n| Thursday | 8 |\n| Friday | 0 |" } ] }, { "id": "35352", "image": "35352.png", "conversations": [ { "from": "human", "question": "Vijay works at a coffee shop on weekends. Every now and then, a customer will order a hot tea and ask Vijay to surprise them with the flavor. The teas are categorized by flavor and caffeine level. What is the probability that a randomly selected tea is fruity and caffeinated? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the tea is fruity\" and B be the event \"the tea is caffeinated\".\nTo find the probability that a tea is fruity and caffeinated, first identify the sample space and the event.\nThe outcomes in the sample space are the different teas. Each tea is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the tea is fruity and caffeinated\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the tea is fruity and caffeinated\", so look at the table to see how many teas are fruity and caffeinated.\nThe number of teas that are fruity and caffeinated is 2.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of teas.\n6 + 2 + 5 + 2 = 15\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{2}{15}\nThe probability that a tea is fruity and caffeinated is \\frac{2}{15}.", "answer": "2/15", "table": "| | Caffeine-free | Caffeinated |\n| --- | --- | --- |\n| Mint | 6 | 5 |\n| Fruity | 2 | 2 |" } ] }, { "id": "35353", "image": "35353.png", "conversations": [ { "from": "human", "question": "Brittany, a huge fan, tracked the scores on her favorite radio quiz show. Which score did the fewest people receive?\n" }, { "from": "gpt", "solution": "Look at the frequency column. Find the least frequency. The least frequency is 1, which is in the row for 1. The fewest people scored 1.", "answer": "1", "table": "**Scores on a radio quiz show**\n\n| Score | Frequency |\n| --- | --- |\n| 0 | 4 |\n| 1 | 1 |\n| 2 | 5 |\n| 3 | 3 |\n| 4 | 7 |\n| 5 | 2 |" } ] }, { "id": "35354", "image": "35354.png", "conversations": [ { "from": "human", "question": "In trying to calculate how much money could be saved by packing lunch, John recorded the amount he spent on lunch each day. According to the table, what was the rate of change between Tuesday and Wednesday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{$8 - $6}{1 day}\n = \\frac{$2}{1 day}\n = $2 perday\nThe rate of change between Tuesday and Wednesday was $2 perday.", "answer": "2", "table": "**Amount John spent on lunch**\n\n| Day | Amount spent |\n| --- | --- |\n| Tuesday | $6 |\n| Wednesday | $8 |\n| Thursday | $8 |\n| Friday | $4 |\n| Saturday | $7 |" } ] }, { "id": "35358", "image": "35358.png", "conversations": [ { "from": "human", "question": "After a trip to the zoo, the students in Ms. Chandler's science class voted for their favorite animals. How many more boys voted for polar bears than tigers?\n" }, { "from": "gpt", "solution": "Find the Boys column. Find the numbers in this column for polar bears and tigers.\n\npolar bears: 18\ntigers: 7\n\nNow subtract:\n\n18 − 7 = 11\n\n11 more boys voted for polar bears than tigers.", "answer": "11", "table": "**Favorite zoo animal**\n\n| Animal | Girls | Boys |\n| --- | --- | --- |\n| Penguins | 18 | 11 |\n| Polar bears | 10 | 18 |\n| Elephants | 1 | 1 |\n| Tigers | 5 | 7 |" } ] }, { "id": "35360", "image": "35360.png", "conversations": [ { "from": "human", "question": "The parents running this year's craft sale counted the number of key chains made by volunteers. How many people are there in all?\n" }, { "from": "gpt", "solution": "Add the frequencies for each row.\n\nAdd:\n\n13 + 16 + 2 + 9 + 3 + 14 = 57\n\nThere are 57 people in all.", "answer": "57", "table": "**Making key chains**\n\n| Key chains made | Frequency |\n| --- | --- |\n| 1 | 13 |\n| 2 | 16 |\n| 3 | 2 |\n| 4 | 9 |\n| 5 | 3 |\n| 6 | 14 |" } ] }, { "id": "35361", "image": "35361.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which activity ends at 5.55 P.M.?\n" }, { "from": "gpt", "solution": "Find 5:55 P. M. on the schedule. The cross-country ski class ends at 5:55 P. M.", "answer": "cross-country ski class", "table": "**Winter lodge schedule**\n\n| Activity | Begin | End |\n| --- | --- | --- |\n| family ice skating | 9:05 A.M. | 10:35 A.M. |\n| ice skating class | 10:45 A.M. | 11:20 A.M. |\n| snowshoe adventure | 11:55 A.M. | 1:30 P.M. |\n| snowman competition | 2:10 P.M. | 3:05 P.M. |\n| cross-country ski tour | 3:30 P.M. | 5:00 P.M. |\n| cross-country ski class | 5:10 P.M. | 5:55 P.M. |\n| advanced snowboard class | 6:40 P.M. | 7:35 P.M. |\n| beginning snowboard class | 7:40 P.M. | 8:30 P.M. |\n| advanced ski class | 8:35 P.M. | 9:05 P.M. |" } ] }, { "id": "35374", "image": "35374.png", "conversations": [ { "from": "human", "question": "Sasha's family went on a road trip and counted the number of cars they saw each day. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n53, 43, 65, 75, 57, 73, 61\n\nFirst, count how many numbers are in the group.\n\nThere are 7 numbers.\n\nNow add all the numbers together:\n\n53 + 43 + 65 + 75 + 57 + 73 + 61 = 427\n\nNow divide the sum by the number of numbers:\n\n427 ÷ 7 = 61\n\nThe mean is 61.", "answer": "61", "table": "**Number of cars**\n\n| Day | Number of cars |\n| --- | --- |\n| Thursday | 53 |\n| Friday | 43 |\n| Saturday | 65 |\n| Sunday | 75 |\n| Monday | 57 |\n| Tuesday | 73 |\n| Wednesday | 61 |" } ] }, { "id": "35375", "image": "35375.png", "conversations": [ { "from": "human", "question": "An athlete counted how many autographs he signed each day. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 3, 4, 5, 4\n\nFirst, count how many numbers are in the group.\n\nThere are 5 numbers.\n\nNow add all the numbers together:\n\n9 + 3 + 4 + 5 + 4 = 25\n\nNow divide the sum by the number of numbers:\n\n25 ÷ 5 = 5\n\nThe mean is 5.", "answer": "5", "table": "**Autographs signed**\n\n| Day | Number of autographs |\n| --- | --- |\n| Wednesday | 9 |\n| Thursday | 3 |\n| Friday | 4 |\n| Saturday | 5 |\n| Sunday | 4 |" } ] }, { "id": "35378", "image": "35378.png", "conversations": [ { "from": "human", "question": "Students at Lanberry Middle School wrote and submitted poems for a district-wide writing contest. How many students wrote at least 2 poems?\n" }, { "from": "gpt", "solution": "Find the rows for 2, 3, 4, and 5 poems. Add the frequencies for these rows.\n\nAdd:\n\n19 + 14 + 17 + 6 = 56\n\n56 students wrote at least 2 poems.", "answer": "56", "table": "**Writing poems**\n\n| Poems written | Frequency |\n| --- | --- |\n| 1 | 2 |\n| 2 | 19 |\n| 3 | 14 |\n| 4 | 17 |\n| 5 | 6 |" } ] }, { "id": "35382", "image": "35382.png", "conversations": [ { "from": "human", "question": "In science class, Trisha is measuring the temperature of different chemical mixtures. The temperatures of two mixtures are shown in the table. Which mixture's temperature is closest to zero?\n" }, { "from": "gpt", "solution": "A positive number means the temperature is above zero. A negative number means the temperature is below zero.\nTo find the temperature closest to zero, use absolute value. The absolute value of a temperature tells you how far it is from zero.\nBromine mixture: |-4| = 4\nAcetone mixture: |5| = 5\nThe temperature of the bromine mixture is closest to zero. It is only 4 degrees below zero.", "answer": "bromine mixture", "table": "| Mixture | Temperature (°C) |\n| --- | --- |\n| Bromine mixture | -4 |\n| Acetone mixture | 5 |" } ] }, { "id": "35386", "image": "35386.png", "conversations": [ { "from": "human", "question": "Elena kept track of how many kilometers she walked during the past 7 days. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n0, 0, 5, 5, 2, 2, 0\n\nFirst, arrange the numbers from least to greatest:\n\n0, 0, 0, 2, 2, 5, 5\n\nNow count how many times each number appears.\n\n0 appears 3 times.\n2 appears 2 times.\n5 appears 2 times.\n\nThe number that appears most often is 0.\n\nThe mode is 0.", "answer": "0", "table": "**Kilometers walked**\n\n| Day | Kilometers |\n| --- | --- |\n| Wednesday | 0 |\n| Thursday | 0 |\n| Friday | 5 |\n| Saturday | 5 |\n| Sunday | 2 |\n| Monday | 2 |\n| Tuesday | 0 |" } ] }, { "id": "35394", "image": "35394.png", "conversations": [ { "from": "human", "question": "If Emma buys 4 kilograms of green beads and 1 kilogram of yellow beads, how much will she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the green beads. Multiply:\n\n$3.11 × 4 = $12.44\n\nFind the cost of the yellow beads. Multiply:\n\n$2.39 × 1 = $2.39\n\nNow find the total cost by adding:\n\n$12.44 + $2.39 = $14.83\n\nShe will spend $14.83.", "answer": "14.83", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| black beads | $1.69/kg |\n| green beads | $3.11/kg |\n| yellow beads | $2.39/kg |\n| orange beads | $1.97/kg |" } ] }, { "id": "35410", "image": "35410.png", "conversations": [ { "from": "human", "question": "What is the total cost for 4/5 of a pound of rib?\n" }, { "from": "gpt", "solution": "Find the cost of the rib. Multiply the price per pound by the number of pounds.\n$7 × \\frac{4}{5} = $7 × 0.8 = $5.60\nThe total cost is $5.60.", "answer": "5.60", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| shank | $10/lb |\n| rib | $7/lb |\n| flank | $9/lb |\n| loin | $4/lb |\n| round | $6/lb |" } ] }, { "id": "35414", "image": "35414.png", "conversations": [ { "from": "human", "question": "Edna, a soup chef at a new restaurant, kept track of the first week's soup sales. What is the probability that a randomly selected soup was ordered in a cup and was split pea? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the soup was ordered in a cup\" and B be the event \"the soup was split pea\".\nTo find the probability that a soup was ordered in a cup and was split pea, first identify the sample space and the event.\nThe outcomes in the sample space are the different soups. Each soup is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the soup was ordered in a cup and was split pea\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the soup was ordered in a cup and was split pea\", so look at the table to see how many soups were ordered in a cup and were split pea.\nThe number of soups that were ordered in a cup and were split pea is 3.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of soups.\n3 + 5 + 6 + 3 = 17\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{3}{17}\nThe probability that a soup was ordered in a cup and was split pea is \\frac{3}{17}.", "answer": "3/17", "table": "| | Split pea | Chicken noodle |\n| --- | --- | --- |\n| Cup | 3 | 6 |\n| Bowl | 5 | 3 |" } ] }, { "id": "35417", "image": "35417.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $1,115, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $1,115, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $635 | 17,600 | 15,000 |\n| $755 | 14,500 | 15,400 |\n| $875 | 11,400 | 15,800 |\n| $995 | 8,300 | 16,200 |\n| $1,115 | 5,200 | 16,600 |" } ] }, { "id": "35425", "image": "35425.png", "conversations": [ { "from": "human", "question": "Kendall graphed the daily low temperature for 7 days. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n8, 9, 9, 10, 10, 8, 8\n\nFirst, arrange the numbers from least to greatest:\n\n8, 8, 8, 9, 9, 10, 10\n\nNow count how many times each number appears.\n\n8 appears 3 times.\n9 appears 2 times.\n10 appears 2 times.\n\nThe number that appears most often is 8.\n\nThe mode is 8.", "answer": "8", "table": "**Daily low temperature**\n\n| Day | Temperature (°C) |\n| --- | --- |\n| Monday | 8 |\n| Tuesday | 9 |\n| Wednesday | 9 |\n| Thursday | 10 |\n| Friday | 10 |\n| Saturday | 8 |\n| Sunday | 8 |" } ] }, { "id": "35435", "image": "35435.png", "conversations": [ { "from": "human", "question": "How much more does a golf ticket cost than a baseball ticket?\n" }, { "from": "gpt", "solution": "Subtract the price of a baseball ticket from the price of a golf ticket.\n\n$57 - $40 = $17\n\nA golf ticket costs $17 more than a baseball ticket.", "answer": "17", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| golf ticket | $57 |\n| football ticket | $52 |\n| baseball ticket | $40 |\n| hockey ticket | $58 |\n| basketball ticket | $51 |" } ] }, { "id": "35443", "image": "35443.png", "conversations": [ { "from": "human", "question": "Each aquarium has 5 tadpoles. How many tadpoles are in 3 aquariums?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 15 tadpoles in 3 aquariums.", "answer": "15", "table": "| Number of aquariums | Number of tadpoles |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | ? |" } ] }, { "id": "35446", "image": "35446.png", "conversations": [ { "from": "human", "question": "Erica has $1,525.00. Does she have enough to buy a motorcycle and a canoe?\n" }, { "from": "gpt", "solution": "Add the price of a motorcycle and the price of a canoe:\n\n$998.00 + $562.00 = $1,560.00\n\n$1,560.00 is more than $1,525.00. Erica does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| motorcycle | $998.00 |\n| canoe | $562.00 |\n| kayak | $645.00 |\n| snowmobile | $890.00 |\n| sailboat | $969.00 |\n| dirt bike | $643.00 |" } ] }, { "id": "35448", "image": "35448.png", "conversations": [ { "from": "human", "question": "The owner of a plant nursery wrote down the number of roses on each bush. What is the largest number of roses?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 7.\n\nNow find the highest leaf in the last row. The highest leaf is 8.\n\nThe largest number of roses has a stem of 7 and a leaf of 8. Write the stem first, then the leaf: 78.\n\nThe largest number of roses is 78 roses.", "answer": "78", "table": "**Roses per bush**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 2, 5, 5, 8, 8 |\n| 5 | 0, 0, 2, 2, 3, 7, 8, 9 |\n| 6 | 0, 2, 3, 3, 4, 6 |\n| 7 | 2, 4, 4, 6, 7, 8 |" } ] }, { "id": "35455", "image": "35455.png", "conversations": [ { "from": "human", "question": "A cable company analyst paid attention to how many new customers it had each day. How many more new customers did the cable company have on Tuesday than on Monday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nTuesday: 788\nMonday: 201\n\nNow subtract: 788 - 201 = 587.\n\nThe cable company had 587 more new customers in Tuesday.", "answer": "587", "table": "**New cable customers**\n\n| Day | Number of new customers |\n| --- | --- |\n| Monday | 201 |\n| Tuesday | 788 |\n| Wednesday | 615 |" } ] }, { "id": "35460", "image": "35460.png", "conversations": [ { "from": "human", "question": "A reporter counted the number of masks local artists made for this year's masquerade ball. How many artists made more than 4 masks?\n" }, { "from": "gpt", "solution": "Find the rows for 5 and 6 masks. Add the frequencies for these rows.\n\nAdd:\n\n3 + 9 = 12\n\n12 artists made more than 4 masks.", "answer": "12", "table": "**Making paper masks**\n\n| Masks made | Frequency |\n| --- | --- |\n| 1 | 0 |\n| 2 | 17 |\n| 3 | 16 |\n| 4 | 8 |\n| 5 | 3 |\n| 6 | 9 |" } ] }, { "id": "35463", "image": "35463.png", "conversations": [ { "from": "human", "question": "How much more does a washing machine cost than a dishwasher?\n" }, { "from": "gpt", "solution": "Subtract the price of a dishwasher from the price of a washing machine.\n\n$800.00 - $232.00 = $568.00\n\nA washing machine costs $568.00 more than a dishwasher.", "answer": "568", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| oven | $354.00 |\n| stove | $569.00 |\n| dishwasher | $232.00 |\n| washing machine | $800.00 |\n| clothes dryer | $616.00 |" } ] }, { "id": "35467", "image": "35467.png", "conversations": [ { "from": "human", "question": "Look at this table. Is this relation a function?\n" }, { "from": "gpt", "solution": "Look at the x-values in the table.\n\nThe x-value 9 is paired with multiple y-values, so the relation is not a function.", "answer": "no", "table": "| x | y |\n| --- | --- |\n| 9 | 3 |\n| 9 | 20 |\n| 7 | 8 |" } ] }, { "id": "35472", "image": "35472.png", "conversations": [ { "from": "human", "question": "At lunchtime, Daniel asked some kids in his grade about their favorite sports. He made this frequency chart to show their answers. After school, Daniel asked some kids on the bus about their favorite sports. He asked half as many kids as he did at lunch. How many kids did Daniel ask on the bus?\n" }, { "from": "gpt", "solution": "Step 1: Find how many kids Daniel asked at lunchtime.\nThe frequency chart shows the kids Daniel asked at lunchtime. Add.\n11 + 7 + 14 + 12 = 44\nDaniel asked 44 kids at lunchtime.\nStep 2: Find how many kids Daniel asked on the bus.\nDaniel asked 44 kids at lunchtime and half as many on the bus. Divide 44 by2.\n44÷2 = 22\nDaniel asked 22 kids on the bus.", "answer": "22", "table": "**Favorite sports**\n\n| Sport | Frequency |\n| --- | --- |\n| football | 11 |\n| baseball/softball | 7 |\n| soccer | 14 |\n| basketball | 12 |" } ] }, { "id": "35485", "image": "35485.png", "conversations": [ { "from": "human", "question": "The city recorded how many fire hydrants there are on each street. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n5, 8, 6, 6, 8, 9\n\nFirst, count how many numbers are in the group.\n\nThere are 6 numbers.\n\nNow add all the numbers together:\n\n5 + 8 + 6 + 6 + 8 + 9 = 42\n\nNow divide the sum by the number of numbers:\n\n42 ÷ 6 = 7\n\nThe mean is 7.", "answer": "7", "table": "**Fire hydrants**\n\n| Street | Number of hydrants |\n| --- | --- |\n| Maple Street | 5 |\n| Pine Street | 8 |\n| Oak Street | 6 |\n| Cherry Street | 6 |\n| Lemon Street | 8 |\n| Rose Street | 9 |" } ] }, { "id": "35489", "image": "35489.png", "conversations": [ { "from": "human", "question": "How much more does a ride on the Swinging Ship cost than a ride on the Animal Carousel?\n" }, { "from": "gpt", "solution": "Subtract the price of a ride on the Animal Carousel from the price of a ride on the Swinging Ship.\n\n$1.96 - $1.46 = $0.50\n\nA ride on the Swinging Ship costs $0.50 more than a ride on the Animal Carousel.", "answer": "0.50", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| ride on the Swinging Ship | $1.96 |\n| ride on the Dizzy Spinner | $3.72 |\n| ride on the Animal Carousel | $1.46 |\n| ride on the Big Ferris Wheel | $3.01 |" } ] }, { "id": "35492", "image": "35492.png", "conversations": [ { "from": "human", "question": "How much money does Larry need to buy a mystery novel, a poetry book, and a picture book?\n" }, { "from": "gpt", "solution": "Find the total cost of a mystery novel, a poetry book, and a picture book.\n\n$5.00 + $9.00 + $8.00 = $22.00\n\nLarry needs $22.00.", "answer": "22", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| geography book | $1.00 |\n| picture book | $8.00 |\n| poetry book | $9.00 |\n| science-fiction book | $6.00 |\n| mystery novel | $5.00 |\n| coloring book | $1.00 |" } ] }, { "id": "35507", "image": "35507.png", "conversations": [ { "from": "human", "question": "An office manager counts the number of letters sent by each of her company's employees each week. How many employees mailed more than 2 letters?\n" }, { "from": "gpt", "solution": "Find the rows for 3, 4, and 5 letters. Add the frequencies for these rows.\n\nAdd:\n\n12 + 16 + 20 = 48\n\n48 employees mailed more than 2 letters.", "answer": "48", "table": "**Mailing letters last week**\n\n| Letters mailed | Frequency |\n| --- | --- |\n| 0 | 2 |\n| 1 | 4 |\n| 2 | 6 |\n| 3 | 12 |\n| 4 | 16 |\n| 5 | 20 |" } ] }, { "id": "35514", "image": "35514.png", "conversations": [ { "from": "human", "question": "For a math assignment, students noted the number of times a wheel landed on the numbers 0 through 5. How many students spun 4?\n" }, { "from": "gpt", "solution": "Find the row for 4 and read the frequency. The frequency is 4.\n\n4 students spun 4.", "answer": "4", "table": "**Spinning a wheel numbered 0 through 5**\n\n| Number spun | Frequency |\n| --- | --- |\n| 0 | 0 |\n| 1 | 11 |\n| 2 | 3 |\n| 3 | 15 |\n| 4 | 4 |\n| 5 | 6 |" } ] }, { "id": "35516", "image": "35516.png", "conversations": [ { "from": "human", "question": "Each bin has 5 blue blocks. How many blue blocks are in 3 bins?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 15 blue blocks in 3 bins.", "answer": "15", "table": "| Number of bins | Number of blue blocks |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | ? |" } ] }, { "id": "35526", "image": "35526.png", "conversations": [ { "from": "human", "question": "Noah went to the store. He bought 2 pounds of porcini mushrooms, 2 pounds of chanterelle mushrooms, and 2 pounds of enoki mushrooms. How much did he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the porcini mushrooms. Multiply:\n\n$13 × 2 = $26\n\nFind the cost of the chanterelle mushrooms. Multiply:\n\n$22 × 2 = $44\n\nFind the cost of the enoki mushrooms. Multiply:\n\n$14 × 2 = $28\n\nNow find the total cost by adding:\n\n$26 + $44 + $28 = $98\n\nHe spent $98.", "answer": "98", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| porcini mushrooms | $13 per lb |\n| chanterelle mushrooms | $22 per lb |\n| enoki mushrooms | $14 per lb |\n| button mushrooms | $6 per lb |\n| portobello mushrooms | $10 per lb |" } ] }, { "id": "35528", "image": "35528.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does the engine demonstration begin?\n" }, { "from": "gpt", "solution": "Find the engine demonstration on the schedule. Find the beginning time for the engine demonstration.\n\nengine demonstration: 10:45 A. M.", "answer": "10:45 A.M.", "table": "**Science museum schedule**\n\n| Event | Begin | End |\n| --- | --- | --- |\n| engine demonstration | 10:45 A.M. | 11:25 A.M. |\n| weather demonstration | 11:00 A.M. | 1:15 P.M. |\n| train lecture | 12:50 P.M. | 1:50 P.M. |\n| plant demonstration | 1:15 P.M. | 2:05 P.M. |\n| dinosaur show | 1:40 P.M. | 2:55 P.M. |" } ] }, { "id": "35535", "image": "35535.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Betty got on the ferry at Windy Sands at 4.00 P.M. What time will she get to Foggy Port?\n" }, { "from": "gpt", "solution": "Find 4:00 P. M. in the row for Windy Sands. That column shows the schedule for the ferry that Betty is on.\n\nLook down the column until you find the row for Foggy Port.\n\nBetty will get to Foggy Port at 5:45 P. M.", "answer": "5:45 P.M.", "table": "**Ferry schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 | Column 5 | Column 6 |\n| --- | --- | --- | --- | --- | --- |\n| Bay Harbor | 7:00 A.M. | 7:15 A.M. | 7:30 A.M. | 7:45 A.M. | 8:00 A.M. |\n| Sandy Shores | 8:30 A.M. | 8:45 A.M. | 9:00 A.M. | 9:15 A.M. | 9:30 A.M. |\n| Seagull Port | 10:15 A.M. | 10:30 A.M. | 10:45 A.M. | 11:00 A.M. | 11:15 A.M. |\n| Cliff View | 12:00 P.M. | 12:15 P.M. | 12:30 P.M. | 12:45 P.M. | 1:00 P.M. |\n| Green Harbor | 1:45 P.M. | 2:00 P.M. | 2:15 P.M. | 2:30 P.M. | 2:45 P.M. |\n| Windy Sands | 3:15 P.M. | 3:30 P.M. | 3:45 P.M. | 4:00 P.M. | 4:15 P.M. |\n| Foggy Port | 5:00 P.M. | 5:15 P.M. | 5:30 P.M. | 5:45 P.M. | 6:00 P.M. |" } ] }, { "id": "35537", "image": "35537.png", "conversations": [ { "from": "human", "question": "How much money does Darnel need to buy a football ticket and a hockey ticket?\n" }, { "from": "gpt", "solution": "Add the price of a football ticket and the price of a hockey ticket:\n\n$21.00 + $63.00 = $84.00\n\nDarnel needs $84.00.", "answer": "84", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| football ticket | $21.00 |\n| hockey ticket | $63.00 |\n| basketball ticket | $21.00 |\n| baseball ticket | $82.00 |" } ] }, { "id": "35541", "image": "35541.png", "conversations": [ { "from": "human", "question": "Rafi, who just won the election for student body president at Oxford Middle School, tallied how many votes he received from each grade. What fraction of his votes were from the seventh grade? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many of his votes came from the seventh grade.\n\n230\n\nFind how many students voted for him in total.\n\n440 + 230 + 190 = 860\n\nDivide 230 by 860.\n\n\\frac{230}{860}\n\nReduce the fraction.\n\n\\frac{230}{860} → \\frac{23}{86}\n\n\\frac{23}{86} of of his votes came from the seventh grade.", "answer": "23/86", "table": "**Vote breakdown**\n\n| Grade | Number of votes |\n| --- | --- |\n| Sixth grade | 440 |\n| Seventh grade | 230 |\n| Eighth grade | 190 |" } ] }, { "id": "35543", "image": "35543.png", "conversations": [ { "from": "human", "question": "During Fitness Day at school, Garrett and his classmates took part in a pull-up competition, keeping track of the results. How many people did exactly 23 pull-ups?\n" }, { "from": "gpt", "solution": "For the number 23, the stem is 2, and the leaf is 3. Find the row where the stem is 2. In that row, count all the leaves equal to 3.\n\nYou counted 1 leaf, which is blue in the stem-and-leaf plot above. 1 person did exactly23 pull-ups.", "answer": "1", "table": "**Pull-up competition (number of pull-ups)**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 3 |\n| 3 | 0, 0, 1, 9 |\n| 4 | 8 |\n| 5 | 6, 8 |\n| 6 | 0, 2 |\n| 7 | 8 |\n| 8 | 8 |\n| 9 | 0 |" } ] }, { "id": "35555", "image": "35555.png", "conversations": [ { "from": "human", "question": "How much money does Monica need to buy a bottle of vegetable oil and a bottle of olive oil?\n" }, { "from": "gpt", "solution": "Add the price of a bottle of vegetable oil and the price of a bottle of olive oil:\n\n$2.68 + $5.54 = $8.22\n\nMonica needs $8.22.", "answer": "8.22", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| bottle of olive oil | $5.54 |\n| bottle of mustard | $3.33 |\n| bottle of vegetable oil | $2.68 |\n| bottle of soy sauce | $2.58 |\n| jar of peanut butter | $3.98 |\n| jar of salsa | $1.09 |" } ] }, { "id": "35556", "image": "35556.png", "conversations": [ { "from": "human", "question": "Each jar has 2 olives. How many olives are in 4 jars?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 8 olives in 4 jars.", "answer": "8", "table": "| Number of jars | Number of olives |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | 6 |\n| 4 | ? |" } ] }, { "id": "35564", "image": "35564.png", "conversations": [ { "from": "human", "question": "As part of a statistics project, a math class weighed all the children who were willing to participate. What is the weight of the lightest child?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 1.\n\nNow find the lowest leaf in the first row. The lowest leaf is 1.\n\nThe weight of the lightest child has a stem of 1 and a leaf of 1. Write the stem first, then the leaf: 11.\n\nThe weight of the lightest child is 11 pounds.", "answer": "11", "table": "**Children's weights (lbs)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1, 2, 2, 3, 5, 7 |\n| 2 | 2, 2, 3, 4, 5, 7 |\n| 3 | |\n| 4 | 2, 2, 3, 4, 6 |\n| 5 | 0 |" } ] }, { "id": "35565", "image": "35565.png", "conversations": [ { "from": "human", "question": "To figure out how many vacation days he had left to use, Dean looked over his old calendars to figure out how many days of vacation he had taken each year. According to the table, what was the rate of change between 2013 and 2014?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{26 vacation days - 13 vacation days}{2014 - 2013}\n = \\frac{26 vacation days - 13 vacation days}{1 year}\n = \\frac{13 vacation days}{1 year}\n = 13 vacation days per year\nThe rate of change between 2013 and 2014 was 13 vacation days per year.", "answer": "13", "table": "**Vacation days taken by Dean**\n\n| Year | Vacation days |\n| --- | --- |\n| 2010 | 22 |\n| 2011 | 13 |\n| 2012 | 15 |\n| 2013 | 13 |\n| 2014 | 26 |" } ] }, { "id": "35566", "image": "35566.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{10 - 11}{3 - 2}\n = \\frac{-1}{1}\n = -1\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{5 - 11}{4 - 2}\n = \\frac{-6}{2}\n = -3\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 2 | 11 |\n| 3 | 10 |\n| 4 | 5 |" } ] }, { "id": "35568", "image": "35568.png", "conversations": [ { "from": "human", "question": "During health class, the students reported the number of times they ate fast food last month. How many students ate fast food more than 2 times?\n" }, { "from": "gpt", "solution": "Find the rows for 3, 4, and 5 times. Add the frequencies for these rows.\n\nAdd:\n\n3 + 19 + 20 = 42\n\n42 students ate fast food more than 2 times.", "answer": "42", "table": "**Eating fast food last month**\n\n| Times eaten | Frequency |\n| --- | --- |\n| 0 | 14 |\n| 1 | 6 |\n| 2 | 15 |\n| 3 | 3 |\n| 4 | 19 |\n| 5 | 20 |" } ] }, { "id": "35570", "image": "35570.png", "conversations": [ { "from": "human", "question": "A newspaper researched how many grocery stores there are in each town. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 4, 9, 3, 5, 3\n\nFirst, count how many numbers are in the group.\n\nThere are 6 numbers.\n\nNow add all the numbers together:\n\n6 + 4 + 9 + 3 + 5 + 3 = 30\n\nNow divide the sum by the number of numbers:\n\n30 ÷ 6 = 5\n\nThe mean is 5.", "answer": "5", "table": "**Grocery stores in each town**\n\n| Town | Number of stores |\n| --- | --- |\n| Richmond | 6 |\n| Ashland | 4 |\n| Springfield | 9 |\n| Marion | 3 |\n| Columbia | 5 |\n| Greenwood | 3 |" } ] }, { "id": "35578", "image": "35578.png", "conversations": [ { "from": "human", "question": "A personal trainer recorded how many laps each of her clients ran last week. How many clients ran more than 2 laps?\n" }, { "from": "gpt", "solution": "Find the row for 3 laps and read the frequency. The frequency is 5.\n\n5 clients ran more than 2 laps.", "answer": "5", "table": "**Running laps**\n\n| Laps run | Frequency |\n| --- | --- |\n| 0 | 7 |\n| 1 | 6 |\n| 2 | 9 |\n| 3 | 5 |" } ] }, { "id": "35581", "image": "35581.png", "conversations": [ { "from": "human", "question": "Look at Niko's pay stub. Niko lives in a state that has state income tax. How much payroll tax did Niko pay in total?\n" }, { "from": "gpt", "solution": "To find the total payroll tax, add the federal income tax, state income tax, and other taxes.\nThe federal income tax is $533.74. The state income tax is $202.50. The other taxes are $305.50. Add.\n$533.74 + $202.50 + $305.50 = $1,041.74\nNiko paid a total of $1,041.74 in payroll tax.", "answer": "1,041.74", "table": "| Employee | Pay period | |\n| --- | --- | --- |\n| Niko Salas | August | |\n| Total earnings | | $3,994.00 |\n| Federal income tax | $533.74 | |\n| State income tax | $202.50 | |\n| Other taxes | $305.50 | |\n| Total taxes | | ? |\n| Pay after taxes | | ? |" } ] }, { "id": "35583", "image": "35583.png", "conversations": [ { "from": "human", "question": "Each shelf has 5 blocks of cheese. How many blocks of cheese are on 3 shelves?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 15 blocks of cheese on 3 shelves.", "answer": "15", "table": "| Number of shelves | Number of blocks of cheese |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | ? |" } ] }, { "id": "35586", "image": "35586.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which class ends at 10.45 A.M.?\n" }, { "from": "gpt", "solution": "Find 10:45 A. M. on the schedule. Plant Biology class ends at 10:45 A. M.", "answer": "Plant Biology class", "table": "**Class schedule**\n\n| Subject | Begin | End |\n| --- | --- | --- |\n| Pottery | 8:50 A.M. | 9:30 A.M. |\n| Plant Biology | 10:10 A.M. | 10:45 A.M. |\n| Advanced Algebra | 10:50 A.M. | 12:15 P.M. |\n| Russian | 12:50 P.M. | 1:50 P.M. |\n| Golf | 2:25 P.M. | 3:40 P.M. |" } ] }, { "id": "35597", "image": "35597.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $330, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $330, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $60 | 20,300 | 4,900 |\n| $150 | 17,200 | 8,400 |\n| $240 | 14,100 | 11,900 |\n| $330 | 11,000 | 15,400 |\n| $420 | 7,900 | 18,900 |" } ] }, { "id": "35602", "image": "35602.png", "conversations": [ { "from": "human", "question": "Jeffrey has $0.11. Does he have enough to buy a duck stamp and a tulip stamp?\n" }, { "from": "gpt", "solution": "Add the price of a duck stamp and the price of a tulip stamp:\n\n$0.08 + $0.05 = $0.13\n\n$0.13 is more than $0.11. Jeffrey does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| coyote stamp | $0.07 |\n| duck stamp | $0.08 |\n| rose stamp | $0.03 |\n| tulip stamp | $0.05 |\n| piece of bubble wrap | $0.09 |" } ] }, { "id": "35605", "image": "35605.png", "conversations": [ { "from": "human", "question": "Matt wants to buy 2 kilograms of sunflower seed oil. How much will he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the sunflower seed oil. Multiply the price per kilogram by the number of kilograms.\n\n$3.23 × 2 = $6.46\n\nHe will spend $6.46.", "answer": "6.46", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| peanut oil | $3.11 per kg |\n| olive oil | $2.86 per kg |\n| vegetable oil | $1.70 per kg |\n| canola oil | $3.42 per kg |\n| sunflower seed oil | $3.23 per kg |" } ] }, { "id": "35612", "image": "35612.png", "conversations": [ { "from": "human", "question": "Eve looked at her e-mail outbox to see how many e-mails she sent each day. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n8, 4, 8, 4, 5, 3\n\nFirst, find the greatest number. The greatest number is 8.\n\nNext, find the least number. The least number is 3.\n\nSubtract the least number from the greatest number:\n\n8 − 3 = 5\n\nThe range is 5.", "answer": "5", "table": "**E-mails sent**\n\n| Day | Number of e-mails |\n| --- | --- |\n| Tuesday | 8 |\n| Wednesday | 4 |\n| Thursday | 8 |\n| Friday | 4 |\n| Saturday | 5 |\n| Sunday | 3 |" } ] }, { "id": "35615", "image": "35615.png", "conversations": [ { "from": "human", "question": "As part of a food drive, three friends collected canned food. What fraction of the cans were collected by Lisa? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many cans were collected by Lisa.\n\n920\n\nFind how many cans were collected in total.\n\n630 + 920 + 940 = 2,490\n\nDivide 920 by2,490.\n\n\\frac{920}{2,490}\n\nReduce the fraction.\n\n\\frac{920}{2,490} → \\frac{92}{249}\n\n\\frac{92}{249} of cans were collected by Lisa.", "answer": "92/249", "table": "**Cans of food collected**\n\n| Name | Number of cans of food |\n| --- | --- |\n| Tina | 630 |\n| Lisa | 920 |\n| Bella | 940 |" } ] }, { "id": "35622", "image": "35622.png", "conversations": [ { "from": "human", "question": "A puzzle book company polled its readers about their favorite type of puzzles. What fraction of respondents preferred Sudokus? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many respondents preferred Sudokus.\n\n160\n\nFind how many respondents there were in total.\n\n160 + 840 + 530 = 1,530\n\nDivide 160 by1,530.\n\n\\frac{160}{1,530}\n\nReduce the fraction.\n\n\\frac{160}{1,530} → \\frac{16}{153}\n\n\\frac{16}{153} of respondents preferred Sudokus.", "answer": "16/153", "table": "**Puzzle preference**\n\n| Puzzle | Number of respondents |\n| --- | --- |\n| Sudokus | 160 |\n| Crosswords | 840 |\n| Other | 530 |" } ] }, { "id": "35635", "image": "35635.png", "conversations": [ { "from": "human", "question": "Look at this table. Is this relation a function?\n" }, { "from": "gpt", "solution": "Look at the x-values in the table.\n\nThe x-value 4 is paired with multiple y-values, so the relation is not a function.", "answer": "no", "table": "| x | y |\n| --- | --- |\n| 4 | 12 |\n| 4 | 14 |\n| 1 | 20 |\n| 11 | 16 |" } ] }, { "id": "35641", "image": "35641.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{10 - 20}{14 - 13}\n = \\frac{-10}{1}\n = -10\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{0 - 10}{15 - 14}\n = \\frac{-10}{1}\n = -10\nThe two rates of change are the same.\n10.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 13 | 20 |\n| 14 | 10 |\n| 15 | 0 |" } ] }, { "id": "35642", "image": "35642.png", "conversations": [ { "from": "human", "question": "The teachers at a middle school counted how many computers they had in their classrooms. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 4, 1, 8, 5, 1, 7, 5\n\nFirst, find the greatest number. The greatest number is 8.\n\nNext, find the least number. The least number is 1.\n\nSubtract the least number from the greatest number:\n\n8 − 1 = 7\n\nThe range is 7.", "answer": "7", "table": "**Computers in classrooms**\n\n| Teacher | Number of computers |\n| --- | --- |\n| Mr. Schmidt | 7 |\n| Mr. Morales | 4 |\n| Mrs. Rossi | 1 |\n| Mr. Watson | 8 |\n| Mrs. Jansen | 5 |\n| Miss Murphy | 1 |\n| Ms. Rojas | 7 |\n| Ms. Cohen | 5 |" } ] }, { "id": "35643", "image": "35643.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{10 - 0}{3 - 2}\n = \\frac{10}{1}\n = 10\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{20 - 0}{4 - 2}\n = \\frac{20}{2}\n = 10\nThe two rates of change are the same.\nIf you checked the rate of change between rows 2 and 3, you would find that it is also 10.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 2 | 0 |\n| 3 | 10 |\n| 4 | 20 |" } ] }, { "id": "35649", "image": "35649.png", "conversations": [ { "from": "human", "question": "An author kept a log of how many pages he wrote in the past 7 days. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n5, 8, 10, 2, 2, 1, 7\n\nFirst, count how many numbers are in the group.\n\nThere are 7 numbers.\n\nNow add all the numbers together:\n\n5 + 8 + 10 + 2 + 2 + 1 + 7 = 35\n\nNow divide the sum by the number of numbers:\n\n35 ÷ 7 = 5\n\nThe mean is 5.", "answer": "5", "table": "**Pages written**\n\n| Day | Number of pages |\n| --- | --- |\n| Wednesday | 5 |\n| Thursday | 8 |\n| Friday | 10 |\n| Saturday | 2 |\n| Sunday | 2 |\n| Monday | 1 |\n| Tuesday | 7 |" } ] }, { "id": "35653", "image": "35653.png", "conversations": [ { "from": "human", "question": "The members of the cycling club compared how many miles they biked last week. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n37, 52, 50, 49, 38\n\nFirst, arrange the numbers from least to greatest:\n\n37, 38, 49, 50, 52\n\nNow find the number in the middle.\n\n37, 38, 49, 50, 52\n\nThe number in the middle is 49.\n\nThe median is 49.", "answer": "49", "table": "**Biking last week**\n\n| Name | Miles |\n| --- | --- |\n| Isaiah | 37 |\n| Joel | 52 |\n| Abigail | 50 |\n| Miranda | 49 |\n| Shawna | 38 |" } ] }, { "id": "35655", "image": "35655.png", "conversations": [ { "from": "human", "question": "The town council reported on how many stop signs there are on each street. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n4, 6, 5, 4, 4, 4, 6, 6\n\nFirst, arrange the numbers from least to greatest:\n\n4, 4, 4, 4, 5, 6, 6, 6\n\nNow count how many times each number appears.\n\n4 appears 4 times.\n5 appears 1 time.\n6 appears 3 times.\n\nThe number that appears most often is 4.\n\nThe mode is 4.", "answer": "4", "table": "**Stop signs**\n\n| Street | Number of stop signs |\n| --- | --- |\n| Peabody Street | 4 |\n| Jackson Street | 6 |\n| Smith Street | 5 |\n| Spring Street | 4 |\n| Marshall Street | 4 |\n| Watson Street | 4 |\n| Irving Street | 6 |\n| Mason Street | 6 |" } ] }, { "id": "35656", "image": "35656.png", "conversations": [ { "from": "human", "question": "A Girl Scout troop recorded how many boxes of cookies they sold each day for a week. According to the table, what was the rate of change between Wednesday and Thursday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{36 boxes - 32 boxes}{1 day}\n = \\frac{4 boxes}{1 day}\n = 4 boxes per day\nThe rate of change between Wednesday and Thursday was 4 boxes per day.", "answer": "4", "table": "**Boxes of Girl Scout cookies sold**\n\n| Day | Boxes of cookies |\n| --- | --- |\n| Monday | 37 |\n| Tuesday | 35 |\n| Wednesday | 32 |\n| Thursday | 36 |\n| Friday | 37 |" } ] }, { "id": "35665", "image": "35665.png", "conversations": [ { "from": "human", "question": "A flight attendant was counting the number of passengers present to see if any upgrades could be offered. The flight attendant's list contained passengers' Frequent Flyer status as well as number of bags checked. What is the probability that a randomly selected passenger has silver status and 1 checked bag? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the passenger has silver status\" and B be the event \"the passenger has 1 checked bag\".\nTo find the probability that a passenger has silver status and 1 checked bag, first identify the sample space and the event.\nThe outcomes in the sample space are the different passengers. Each passenger is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the passenger has silver status and 1 checked bag\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the passenger has silver status and 1 checked bag\", so look at the table to see how many passengers have silver status and 1 checked bag.\nThe number of passengers who have silver status and 1 checked bag is 6.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of passengers.\n5 + 5 + 4 + 6 = 20\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{6}{20}\n = \\frac{3}{10}\nThe probability that a passenger has silver status and 1 checked bag is \\frac{3}{10}.", "answer": "3/10", "table": "| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| | 0 checked bags | 1 checked bag |\n| Bronze status | 5 | 4 |\n| Silver status | 5 | 6 |" } ] }, { "id": "35671", "image": "35671.png", "conversations": [ { "from": "human", "question": "The librarian at the public library counted the number of books on each shelf. What is the smallest number of books?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 1.\n\nNow find the lowest leaf in the first row. The lowest leaf is 1.\n\nThe smallest number of books has a stem of 1 and a leaf of 1. Write the stem first, then the leaf: 11.\n\nThe smallest number of books is 11 books.", "answer": "11", "table": "**Books per shelf**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1, 8, 9 |\n| 2 | 1, 9, 9 |\n| 3 | 0 |\n| 4 | 1, 3, 3, 4 |\n| 5 | 4 |\n| 6 | 6 |\n| 7 | 0, 2, 3, 4, 5, 8 |\n| 8 | 0, 3, 6, 8 |\n| 9 | 0 |" } ] }, { "id": "35673", "image": "35673.png", "conversations": [ { "from": "human", "question": "A fan carefully recorded the number of goals and misses made by different soccer players. Did the striker or the center midfielder have more shots?\n" }, { "from": "gpt", "solution": "Add the numbers in the Striker row. Then, add the numbers in the Center midfielder row.\n\nstriker: 20 + 11 = 31\ncenter midfielder: 15 + 14 = 29\n\n31 is more than 29. The striker had more shots.", "answer": "striker", "table": "**Soccer shots this season**\n\n| Player | Misses | Goals |\n| --- | --- | --- |\n| Left forward | 8 | 13 |\n| Striker | 20 | 11 |\n| Right forward | 10 | 10 |\n| Left midfielder | 8 | 4 |\n| Center midfielder | 15 | 14 |" } ] }, { "id": "35684", "image": "35684.png", "conversations": [ { "from": "human", "question": "A bookstore employee looked up how many books were sold each month. How many books total did the bookstore sell in November and January?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nNovember: 325\nJanuary: 213\n\nNow add: 325 + 213 = 538.\n\nThe bookstore sold 538 books in November and January.", "answer": "538", "table": "**Number of books sold**\n\n| Month | Number of books |\n| --- | --- |\n| November | 325 |\n| December | 472 |\n| January | 213 |" } ] }, { "id": "35686", "image": "35686.png", "conversations": [ { "from": "human", "question": "The city recorded how many fire hydrants there are on each street. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n15, 1, 9, 1, 9, 15, 1, 1\n\nFirst, arrange the numbers from least to greatest:\n\n1, 1, 1, 1, 9, 9, 15, 15\n\nNow count how many times each number appears.\n\n1 appears 4 times.\n9 appears 2 times.\n15 appears 2 times.\n\nThe number that appears most often is 1.\n\nThe mode is 1.", "answer": "1", "table": "**Fire hydrants**\n\n| Street | Number of hydrants |\n| --- | --- |\n| Elm Street | 15 |\n| Lemon Street | 1 |\n| Rose Street | 9 |\n| Maple Street | 1 |\n| Pine Street | 9 |\n| Cedar Street | 15 |\n| Aspen Street | 1 |\n| Fir Street | 1 |" } ] }, { "id": "35687", "image": "35687.png", "conversations": [ { "from": "human", "question": "How much more does a book about Europe cost than a book about ballet?\n" }, { "from": "gpt", "solution": "Subtract the price of a book about ballet from the price of a book about Europe.\n\n$15.90 - $11.69 = $4.21\n\nA book about Europe costs $4.21 more than a book about ballet.", "answer": "4.21", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| book about ballet | $11.69 |\n| book about basketball | $12.07 |\n| book about dogs | $18.10 |\n| book about Europe | $15.90 |\n| book about Asia | $14.69 |" } ] }, { "id": "35688", "image": "35688.png", "conversations": [ { "from": "human", "question": "Mr. Johnson, the English teacher, had his students track the number of books they read last month. How many students read fewer than 2 books last month?\n" }, { "from": "gpt", "solution": "Find the rows for 0 and 1 book last month. Add the frequencies for these rows.\n\nAdd:\n\n18 + 8 = 26\n\n26 students read fewer than 2 books last month.", "answer": "26", "table": "**Reading books last month**\n\n| Books read | Frequency |\n| --- | --- |\n| 0 | 18 |\n| 1 | 8 |\n| 2 | 12 |\n| 3 | 7 |" } ] }, { "id": "35701", "image": "35701.png", "conversations": [ { "from": "human", "question": "An archer recalled how many times he hit the bull's-eye in the past 7 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n8, 8, 3, 9, 6, 6, 4\n\nFirst, arrange the numbers from least to greatest:\n\n3, 4, 6, 6, 8, 8, 9\n\nNow find the number in the middle.\n\n3, 4, 6, 6, 8, 8, 9\n\nThe number in the middle is 6.\n\nThe median is 6.", "answer": "6", "table": "**Bull's-eyes**\n\n| Day | Number of bull's-eyes |\n| --- | --- |\n| Thursday | 8 |\n| Friday | 8 |\n| Saturday | 3 |\n| Sunday | 9 |\n| Monday | 6 |\n| Tuesday | 6 |\n| Wednesday | 4 |" } ] }, { "id": "35702", "image": "35702.png", "conversations": [ { "from": "human", "question": "How much more does a ticket for a Hawaiian cruise cost than a ticket for an Atlantic cruise?\n" }, { "from": "gpt", "solution": "Subtract the price of a ticket for an Atlantic cruise from the price of a ticket for a Hawaiian cruise.\n\n$9,362 - $1,674 = $7,688\n\nA ticket for a Hawaiian cruise costs $7,688 more than a ticket for an Atlantic cruise.", "answer": "7,688", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| ticket for an Alaskan cruise | $9,739 |\n| ticket for a Caribbean cruise | $9,627 |\n| ticket for an Atlantic cruise | $1,674 |\n| ticket for a Hawaiian cruise | $9,362 |" } ] }, { "id": "35704", "image": "35704.png", "conversations": [ { "from": "human", "question": "Rita wants to buy 1 kilogram of Cavendish bananas, 3 kilograms of pink bananas, and 3 kilograms of red bananas. How much will she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the Cavendish bananas. Multiply:\n\n$0.98 × 1 = $0.98\n\nFind the cost of the pink bananas. Multiply:\n\n$1.09 × 3 = $3.27\n\nFind the cost of the red bananas. Multiply:\n\n$0.65 × 3 = $1.95\n\nNow find the total cost by adding:\n\n$0.98 + $3.27 + $1.95 = $6.20\n\nShe will spend $6.20.", "answer": "6.20", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| Cavendish bananas | $0.98/kilogram |\n| plantains | $0.98/kilogram |\n| pink bananas | $1.09/kilogram |\n| bananitos | $0.49/kilogram |\n| red bananas | $0.65/kilogram |" } ] }, { "id": "35705", "image": "35705.png", "conversations": [ { "from": "human", "question": "How much money does Michael need to buy an oven and a microwave?\n" }, { "from": "gpt", "solution": "Add the price of an oven and the price of a microwave:\n\n$258.00 + $383.00 = $641.00\n\nMichael needs $641.00.", "answer": "641", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| oven | $258.00 |\n| washing machine | $506.00 |\n| microwave | $383.00 |\n| water heater | $416.00 |\n| stove | $224.00 |\n| clothes dryer | $278.00 |" } ] }, { "id": "35706", "image": "35706.png", "conversations": [ { "from": "human", "question": "For a science fair project, Turner tracked the temperature each day. How many temperature readings were at least 12°C but less than 26°C?\n" }, { "from": "gpt", "solution": "Find the row with stem 1. Count all the leaves greater than or equal to 2.\n\nIn the row with stem 2, count all the leaves less than 6.\n\nYou counted 6 leaves, which are blue in the stem-and-leaf plots above. 6 temperature readings were at least 12°C but less than 26°C.", "answer": "6", "table": "**Daily temperatures (°C)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1, 3, 6, 7, 9 |\n| 2 | 0, 1, 8, 9 |\n| 3 | 0, 0, 3, 3, 9 |\n| 4 | 1, 1, 1, 2, 2, 2 |" } ] }, { "id": "35710", "image": "35710.png", "conversations": [ { "from": "human", "question": "Lucy has $11.50. Does she have enough to buy a plastic cup and a casserole dish?\n" }, { "from": "gpt", "solution": "Add the price of a plastic cup and the price of a casserole dish:\n\n$1.47 + $9.80 = $11.27\n\n$11.27 is less than $11.50. Lucy does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| casserole dish | $9.80 |\n| set of forks | $5.62 |\n| glass bowl | $6.27 |\n| plastic cup | $1.47 |" } ] }, { "id": "35712", "image": "35712.png", "conversations": [ { "from": "human", "question": "Lillian is looking at the price of new cell phones online. Her favorite company, OrangeTech, has a special this weekend. Lillian can add an upgrade to a phone for an additional cost, or she can buy a used phone to get a discount. The change in price for each option is shown in the table. Which option results in a greater change in price?\n" }, { "from": "gpt", "solution": "To find the option that results in a greater change in price, use absolute value. Absolute value tells you how much the price changes.\nAdd an upgrade: |$60| = $60\nBuy a used phone: |-$75| = $75\nBuying a used phone results in a greater change in price. It reduces the price by $75.", "answer": "buying a used phone", "table": "| Option | Change in phone price |\n| --- | --- |\n| Add an upgrade | $60 |\n| Buy a used phone | -$75 |" } ] }, { "id": "35718", "image": "35718.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{11 - 18}{17 - 16}\n = \\frac{-7}{1}\n = -7\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{8 - 18}{18 - 16}\n = \\frac{-10}{2}\n = -5\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 16 | 18 |\n| 17 | 11 |\n| 18 | 8 |" } ] }, { "id": "35721", "image": "35721.png", "conversations": [ { "from": "human", "question": "Eddie baked cookies each day for a bake sale. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n99, 88, 91, 99, 99, 96, 100\n\nFirst, count how many numbers are in the group.\n\nThere are 7 numbers.\n\nNow add all the numbers together:\n\n99 + 88 + 91 + 99 + 99 + 96 + 100 = 672\n\nNow divide the sum by the number of numbers:\n\n672 ÷ 7 = 96\n\nThe mean is 96.", "answer": "96", "table": "**Cookies baked**\n\n| Day | Number of cookies |\n| --- | --- |\n| Wednesday | 99 |\n| Thursday | 88 |\n| Friday | 91 |\n| Saturday | 99 |\n| Sunday | 99 |\n| Monday | 96 |\n| Tuesday | 100 |" } ] }, { "id": "35731", "image": "35731.png", "conversations": [ { "from": "human", "question": "The train conductor made sure to count the number of passengers on each train. What is the smallest number of passengers?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 4.\n\nNow find the lowest leaf in the first row. The lowest leaf is 0.\n\nThe smallest number of passengers has a stem of 4 and a leaf of 0. Write the stem first, then the leaf: 40.\n\nThe smallest number of passengers is 40 passengers.", "answer": "40", "table": "**Passengers per train**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 0 |\n| 5 | |\n| 6 | 0, 5 |\n| 7 | 4, 5, 7 |\n| 8 | 3, 9 |\n| 9 | 0 |" } ] }, { "id": "35736", "image": "35736.png", "conversations": [ { "from": "human", "question": "Lester, who rents properties for a living, measures all the offices in a building he is renting. How many offices are less than 76 square meters?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 4, 5, and 6.\n\nIn the row with stem 7, count all the leaves less than 6.\n\nYou counted 5 leaves, which are blue in the stem-and-leaf plots above. 5 offices are less than 76 square meters.", "answer": "5", "table": "**Office sizes (square meters)**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 0, 3, 7 |\n| 5 | 4 |\n| 6 | 4 |\n| 7 | |\n| 8 | 7, 9, 9 |\n| 9 | 0 |" } ] }, { "id": "35739", "image": "35739.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $1,080, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $1,080, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $960 | 12,300 | 10,600 |\n| $990 | 10,700 | 11,100 |\n| $1,020 | 9,100 | 11,600 |\n| $1,050 | 7,500 | 12,100 |\n| $1,080 | 5,900 | 12,600 |" } ] }, { "id": "35754", "image": "35754.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{2 - 11}{2 - 1}\n = \\frac{-9}{1}\n = -9\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{1 - 2}{3 - 2}\n = \\frac{-1}{1}\n = -1\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 1 | 11 |\n| 2 | 2 |\n| 3 | 1 |" } ] }, { "id": "35767", "image": "35767.png", "conversations": [ { "from": "human", "question": "Belle has $23.00. Does she have enough to buy a pumpkin pie and an apple pie?\n" }, { "from": "gpt", "solution": "Add the price of a pumpkin pie and the price of an apple pie:\n\n$11.00 + $10.00 = $21.00\n\n$21.00 is less than $23.00. Belle does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pumpkin pie | $11.00 |\n| apple pie | $10.00 |\n| pineapple upside-down cake | $18.00 |\n| wedding cake | $70.00 |" } ] }, { "id": "35777", "image": "35777.png", "conversations": [ { "from": "human", "question": "In science class, Bridgette is learning about places with extreme temperatures. She learns that the highest temperature ever recorded was in Death Valley, California. She also learns that the lowest temperature ever recorded was in Vostok Station, Antarctica. The record-setting temperatures of the two locations are shown in the table. Which location's temperature was further from zero?\n" }, { "from": "gpt", "solution": "A positive number means the temperature was above zero. A negative number means the temperature was below zero.\nTo find which temperature was further from zero, use absolute value. Absolute value tells you how far a temperature is from zero.\nDeath Valley: |134| = 134\nVostok Station: |-128| = 128\nThe temperature of Death Valley was further from zero. It was 134 degrees above zero.", "answer": "Death Valley", "table": "| Location | Temperature (°F) |\n| --- | --- |\n| Death Valley | 134 |\n| Vostok Station | -128 |" } ] }, { "id": "35778", "image": "35778.png", "conversations": [ { "from": "human", "question": "Fans of the Middletown baseball team compared the number of games won by their team each year. According to the table, what was the rate of change between 2018 and 2019?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{21 games - 30 games}{2019 - 2018}\n = \\frac{21 games - 30 games}{1 year}\n = \\frac{-9 games}{1 year}\n = -9 games per year\nThe rate of change between 2018 and 2019 was - 9 games per year.", "answer": "-9", "table": "**Games won by the Middletown baseball team**\n\n| Year | Games won |\n| --- | --- |\n| 2017 | 24 |\n| 2018 | 30 |\n| 2019 | 21 |\n| 2020 | 12 |\n| 2021 | 19 |" } ] }, { "id": "35781", "image": "35781.png", "conversations": [ { "from": "human", "question": "Ruben has $8.50. Does he have enough to buy a red pepper and a pumpkin?\n" }, { "from": "gpt", "solution": "Add the price of a red pepper and the price of a pumpkin:\n\n$1.25 + $7.38 = $8.63\n\n$8.63 is more than $8.50. Ruben does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| cucumber | $1.30 |\n| pumpkin | $7.38 |\n| watermelon | $4.86 |\n| grapefruit | $1.20 |\n| red pepper | $1.25 |" } ] }, { "id": "35791", "image": "35791.png", "conversations": [ { "from": "human", "question": "Kayla wrote down how many spelling words she practiced each day. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 6, 6, 5, 5, 9, 9\n\nFirst, arrange the numbers from least to greatest:\n\n5, 5, 6, 6, 7, 9, 9\n\nNow find the number in the middle.\n\n5, 5, 6, 6, 7, 9, 9\n\nThe number in the middle is 6.\n\nThe median is 6.", "answer": "6", "table": "**Spelling words practiced**\n\n| Day | Number of spelling words |\n| --- | --- |\n| Monday | 7 |\n| Tuesday | 6 |\n| Wednesday | 6 |\n| Thursday | 5 |\n| Friday | 5 |\n| Saturday | 9 |\n| Sunday | 9 |" } ] }, { "id": "35800", "image": "35800.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does Mr. Newton's class end?\n" }, { "from": "gpt", "solution": "Find Mr. Newton's class on the schedule. Find the end time for Mr. Newton's class.\n\nMr. Newton's class: 1:10 P. M.", "answer": "1:10 P.M.", "table": "**Library schedule**\n\n| Class | Begin | End |\n| --- | --- | --- |\n| Ms. Huber's class | 7:00 A.M. | 7:25 A.M. |\n| Ms. Carroll's class | 7:35 A.M. | 8:00 A.M. |\n| Mr. Petersen's class | 8:05 A.M. | 8:50 A.M. |\n| Ms. Clarke's class | 8:55 A.M. | 9:45 A.M. |\n| Ms. Pennington's class | 10:00 A.M. | 10:25 A.M. |\n| Ms. Christensen's class | 10:30 A.M. | 11:20 A.M. |\n| Mr. Horton's class | 11:30 A.M. | 12:20 P.M. |\n| Mr. Newton's class | 12:30 P.M. | 1:10 P.M. |\n| Mrs. Nicholson's class | 1:20 P.M. | 1:40 P.M. |\n| Mr. Malone's class | 1:45 P.M. | 2:45 P.M. |" } ] }, { "id": "35805", "image": "35805.png", "conversations": [ { "from": "human", "question": "Jake just downloaded the new game Gem Excavator on his phone. In the first level, Jake gains points for each green gem he finds. However, he loses points for each red gem he finds. The table shows how the gems affect Jake's points. Which color gem affects Jake's points less?\n" }, { "from": "gpt", "solution": "To find the gem that affects Jake's points less, use absolute value. Absolute value tells you how much Jake's points change for each color gem.\nGreen: |25| = 25\nRed: |-40| = 40\nJake gains 25 points for each green gem he finds, and he loses 40 points for each red gem he finds. So, the green gems affect Jake's points less.", "answer": "green", "table": "| Gem color | Change in points |\n| --- | --- |\n| Green | 25 |\n| Red | -40 |" } ] }, { "id": "35810", "image": "35810.png", "conversations": [ { "from": "human", "question": "Brenna recalled how many minutes she had spent at band rehearsal in the past 4 days. On which day did Brenna rehearse the most?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 49.\n\nNow find the corresponding day. Wednesday corresponds to 49.", "answer": "Wednesday", "table": "**Minutes spent rehearsing**\n\n| Day | Minutes |\n| --- | --- |\n| Tuesday | 48 |\n| Wednesday | 49 |\n| Thursday | 42 |\n| Friday | 40 |" } ] }, { "id": "35814", "image": "35814.png", "conversations": [ { "from": "human", "question": "Some candy companies compared how many pieces of candy they have produced. Together, how many pieces of candy have Goodman Candies and Sugary Candies produced?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nGoodman Candies: 3,936\nSugary Candies: 1,048\n\nNow add: 3,936 + 1,048 = 4,984.\n\nGoodman Candies and Sugary Candies have produced 4,984 pieces of candy.", "answer": "4,984", "table": "**Candy production**\n\n| Company | Number of pieces of candy |\n| --- | --- |\n| Goodman Candies | 3,936 |\n| Tasty Treats | 4,395 |\n| Sugary Candies | 1,048 |\n| Chocolate and More | 1,096 |" } ] }, { "id": "35819", "image": "35819.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. At which stop does the train arrive at 12.30 P.M.?\n" }, { "from": "gpt", "solution": "Find 12:30 P. M. on the schedule. The train arrives at the baseball stadium at 12:30 P. M.", "answer": "baseball stadium", "table": "**Light rail train schedule**\n\n| Location | Time |\n| --- | --- |\n| library | 10:30 A.M. |\n| soccer field | 10:35 A.M. |\n| town square | 10:55 A.M. |\n| university | 11:20 A.M. |\n| grocery store | 11:40 A.M. |\n| swimming pool | 12:10 P.M. |\n| baseball stadium | 12:30 P.M. |\n| art museum | 12:35 P.M. |\n| shopping mall | 12:55 P.M. |\n| science museum | 1:10 P.M. |" } ] }, { "id": "35820", "image": "35820.png", "conversations": [ { "from": "human", "question": "The Cedarburg Middle School fundraising committee found out how many sweatshirts students already had, in order to decide whether to sell sweatshirts for a fundraiser. How many students have at least 2 sweatshirts?\n" }, { "from": "gpt", "solution": "Find the rows for 2 and 3 sweatshirts. Add the frequencies for these rows.\n\nAdd:\n\n19 + 11 = 30\n\n30 students have at least 2 sweatshirts.", "answer": "30", "table": "**Sweatshirts**\n\n| Number of sweatshirts | Frequency |\n| --- | --- |\n| 0 | 10 |\n| 1 | 12 |\n| 2 | 19 |\n| 3 | 11 |" } ] }, { "id": "35821", "image": "35821.png", "conversations": [ { "from": "human", "question": "Lara has $2.53. How much money will Lara have left if she buys a sand castle magnet and a picture of a shark?\n" }, { "from": "gpt", "solution": "Find the total cost of a sand castle magnet and a picture of a shark.\n\n$0.73 + $0.93 = $1.66\n\nNow subtract the total cost from the starting amount.\n\n$2.53 - $1.66 = $0.87\n\nLara will have $0.87 left.", "answer": "0.87", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| tiny bottle of sand | $0.41 |\n| sand castle magnet | $0.73 |\n| palm tree magnet | $0.68 |\n| picture of a shark | $0.93 |" } ] }, { "id": "35828", "image": "35828.png", "conversations": [ { "from": "human", "question": "Kaylee purchased 0.6 pounds of crookneck squash. What was the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the crookneck squash. Multiply the price per pound by the number of pounds.\n$1 × 0.6 = $0.60\nThe total cost was $0.60.", "answer": "0.60", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| crookneck squash | $1/lb |\n| globe squash | $2/lb |\n| zucchini | $3/lb |\n| pumpkin | $1/lb |\n| spaghetti squash | $1/lb |\n| butternut squash | $3/lb |" } ] }, { "id": "35838", "image": "35838.png", "conversations": [ { "from": "human", "question": "Some players on a co-ed basketball team compared the total number of points they scored over the course of a year. What fraction of the points were scored by Craig? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many points Craig scored.\n\n110\n\nFind how many points the players scored in total.\n\n50 + 120 + 110 + 100 = 380\n\nDivide 110 by 380.\n\n\\frac{110}{380}\n\nReduce the fraction.\n\n\\frac{110}{380} → \\frac{11}{38}\n\n\\frac{11}{38} of points Craig scored.", "answer": "11/38", "table": "**Points scored in basketball**\n\n| Player | Points scored |\n| --- | --- |\n| Polly | 50 |\n| Barry | 120 |\n| Craig | 110 |\n| Other | 100 |" } ] }, { "id": "35846", "image": "35846.png", "conversations": [ { "from": "human", "question": "A baker wrote down how many pies she made in the past 5 days. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 3, 8, 0, 5\n\nFirst, count how many numbers are in the group.\n\nThere are 5 numbers.\n\nNow add all the numbers together:\n\n9 + 3 + 8 + 0 + 5 = 25\n\nNow divide the sum by the number of numbers:\n\n25 ÷ 5 = 5\n\nThe mean is 5.", "answer": "5", "table": "**Pies baked**\n\n| Day | Number of pies |\n| --- | --- |\n| Sunday | 9 |\n| Monday | 3 |\n| Tuesday | 8 |\n| Wednesday | 0 |\n| Thursday | 5 |" } ] }, { "id": "35847", "image": "35847.png", "conversations": [ { "from": "human", "question": "In order to complete their model of a futuristic highway, students in Ms. Cara's design class find out how many toy cars each student can bring to class. How many students are there in all?\n" }, { "from": "gpt", "solution": "Add the frequencies for each row.\n\nAdd:\n\n5 + 3 + 13 + 8 = 29\n\nThere are 29 students in all.", "answer": "29", "table": "**Toy cars**\n\n| Number of toy cars | Frequency |\n| --- | --- |\n| 0 | 5 |\n| 1 | 3 |\n| 2 | 13 |\n| 3 | 8 |" } ] }, { "id": "35851", "image": "35851.png", "conversations": [ { "from": "human", "question": "How much money does Florence need to buy an ice cream cone and a cheeseburger?\n" }, { "from": "gpt", "solution": "Add the price of an ice cream cone and the price of a cheeseburger:\n\n$2.14 + $4.67 = $6.81\n\nFlorence needs $6.81.", "answer": "6.81", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| cheeseburger | $4.67 |\n| hamburger | $2.59 |\n| bowl of tomato soup | $4.62 |\n| ice cream cone | $2.14 |" } ] }, { "id": "35856", "image": "35856.png", "conversations": [ { "from": "human", "question": "Several people compared how many Web pages they had visited. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n8, 8, 8, 8, 9, 6, 8, 9\n\nFirst, count how many numbers are in the group.\n\nThere are 8 numbers.\n\nNow add all the numbers together:\n\n8 + 8 + 8 + 8 + 9 + 6 + 8 + 9 = 64\n\nNow divide the sum by the number of numbers:\n\n64 ÷ 8 = 8\n\nThe mean is 8.", "answer": "8", "table": "**Web pages visited**\n\n| Person | Number of Web pages |\n| --- | --- |\n| Sue | 8 |\n| Hugo | 8 |\n| Jonah | 8 |\n| Kylie | 8 |\n| Victoria | 9 |\n| Cooper | 6 |\n| Betty | 8 |\n| Mabel | 9 |" } ] }, { "id": "35862", "image": "35862.png", "conversations": [ { "from": "human", "question": "The art club examined how many cookies each student baked for the bake sale. Who baked the fewest cookies?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 70.\n\nNow find the corresponding name. Chloe corresponds to 70.", "answer": "Chloe", "table": "**Cookies baked**\n\n| Name | Number of cookies |\n| --- | --- |\n| Chloe | 70 |\n| Reid | 75 |\n| Gavin | 76 |\n| Hazel | 71 |" } ] }, { "id": "35864", "image": "35864.png", "conversations": [ { "from": "human", "question": "A real estate agent counted the number of offices per floor in the building she is selling. How many floors have at least 30 offices?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 3, 4, 5, 6, 7, 8, and 9.\n\nYou counted 5 leaves, which are blue in the stem-and-leaf plot above. 5 floors have at least 30 offices.", "answer": "5", "table": "**Offices per floor**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 9 |\n| 2 | 3 |\n| 3 | 3 |\n| 4 | |\n| 5 | 8 |\n| 6 | |\n| 7 | 5, 7 |\n| 8 | |\n| 9 | 0 |" } ] }, { "id": "35869", "image": "35869.png", "conversations": [ { "from": "human", "question": "Each jar has 10 olives. How many olives are in 5 jars?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 50 olives in 5 jars.", "answer": "50", "table": "| Number of jars | Number of olives |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | 40 |\n| 5 | ? |" } ] }, { "id": "35875", "image": "35875.png", "conversations": [ { "from": "human", "question": "How much more does pasta with meat sauce cost than pasta with mushrooms?\n" }, { "from": "gpt", "solution": "Subtract the price of pasta with mushrooms from the price of pasta with meat sauce.\n\n$15 - $13 = $2\n\nPasta with meat sauce costs $2 more than pasta with mushrooms.", "answer": "2", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pasta with meat sauce | $15 |\n| pasta with mushrooms | $13 |\n| baked ziti | $14 |\n| pasta with white sauce | $14 |\n| ravioli | $14 |\n| pasta with clams | $14 |" } ] }, { "id": "35885", "image": "35885.png", "conversations": [ { "from": "human", "question": "Mariana has $19,822.00. How much money will Mariana have left if she buys a bat signed by a famous baseball player and a shirt signed by a famous soccer player?\n" }, { "from": "gpt", "solution": "Find the total cost of a bat signed by a famous baseball player and a shirt signed by a famous soccer player.\n\n$9,569.00 + $2,275.00 = $11,844.00\n\nNow subtract the total cost from the starting amount.\n\n$19,822.00 - $11,844.00 = $7,978.00\n\nMariana will have $7,978.00 left.", "answer": "7,978", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| jersey signed by a famous hockey player | $1,849.00 |\n| book signed by a famous author | $5,562.00 |\n| bat signed by a famous baseball player | $9,569.00 |\n| jersey signed by a famous basketball player | $7,648.00 |\n| shirt signed by a famous soccer player | $2,275.00 |\n| photograph signed by a famous race car driver | $2,946.00 |" } ] }, { "id": "35888", "image": "35888.png", "conversations": [ { "from": "human", "question": "Ernest wrote down how many glasses of water he drank during the past 7 days. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 8, 11, 9, 11, 12, 10\n\nFirst, count how many numbers are in the group.\n\nThere are 7 numbers.\n\nNow add all the numbers together:\n\n9 + 8 + 11 + 9 + 11 + 12 + 10 = 70\n\nNow divide the sum by the number of numbers:\n\n70 ÷ 7 = 10\n\nThe mean is 10.", "answer": "10", "table": "**Glasses of water**\n\n| Day | Number of glasses |\n| --- | --- |\n| Sunday | 9 |\n| Monday | 8 |\n| Tuesday | 11 |\n| Wednesday | 9 |\n| Thursday | 11 |\n| Friday | 12 |\n| Saturday | 10 |" } ] }, { "id": "35889", "image": "35889.png", "conversations": [ { "from": "human", "question": "For an assignment, Josiah looked at which countries got the most Nobel Prizes in various decades. Of the countries shown, which country had the most Nobel Prize winners in the 1970s?\n" }, { "from": "gpt", "solution": "Look at the numbers in the 1970 s column. Find the greatest number in this column.\n\nThe greatest number is 5, which is in the Russia row. Of the countries shown, Russia had the most Nobel Prize winners in the 1970 s.", "answer": "Russia", "table": "**Nobel Prize winners**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 1970s | 1980s |\n| Russia | 5 | 1 |\n| Canada | 2 | 3 |\n| Holland | 2 | 2 |" } ] }, { "id": "35896", "image": "35896.png", "conversations": [ { "from": "human", "question": "A toy store employee counted the number of toys in each bin in the sale section. What is the smallest number of toys?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 6.\n\nNow find the lowest leaf in the first row. The lowest leaf is 4.\n\nThe smallest number of toys has a stem of 6 and a leaf of 4. Write the stem first, then the leaf: 64.\n\nThe smallest number of toys is 64 toys.", "answer": "64", "table": "**Toys per bin**\n\n| Stem | Leaf |\n| --- | --- |\n| 6 | 4 |\n| 7 | 8 |\n| 8 | 2, 7, 9 |\n| 9 | 0 |" } ] }, { "id": "35898", "image": "35898.png", "conversations": [ { "from": "human", "question": "A donut shop recorded how many donuts it sold in the past 3 days. How many more donuts did the shop sell on Sunday than on Monday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nSunday: 748\nMonday: 612\n\nNow subtract: 748 - 612 = 136.\n\nThe shop sold 136 more donuts on Sunday.", "answer": "136", "table": "**Donuts sold**\n\n| Day | Number of donuts |\n| --- | --- |\n| Saturday | 420 |\n| Sunday | 748 |\n| Monday | 612 |" } ] }, { "id": "35899", "image": "35899.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $55, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $55, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $25 | 20,200 | 5,700 |\n| $55 | 16,300 | 7,600 |\n| $85 | 12,400 | 9,500 |\n| $115 | 8,500 | 11,400 |\n| $145 | 4,600 | 13,300 |" } ] }, { "id": "35902", "image": "35902.png", "conversations": [ { "from": "human", "question": "For a psychology assignment, Desmond kept a sleep log for 6 days. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n11, 6, 6, 11, 8, 6\n\nFirst, arrange the numbers from least to greatest:\n\n6, 6, 6, 8, 11, 11\n\nNow count how many times each number appears.\n\n6 appears 3 times.\n8 appears 1 time.\n11 appears 2 times.\n\nThe number that appears most often is 6.\n\nThe mode is 6.", "answer": "6", "table": "**Hours slept**\n\n| Day | Hours |\n| --- | --- |\n| Thursday | 11 |\n| Friday | 6 |\n| Saturday | 6 |\n| Sunday | 11 |\n| Monday | 8 |\n| Tuesday | 6 |" } ] }, { "id": "35911", "image": "35911.png", "conversations": [ { "from": "human", "question": "Each laundry basket has 10 turtleneck sweaters. How many turtleneck sweaters are in 5 laundry baskets?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 50 turtleneck sweaters in 5 laundry baskets.", "answer": "50", "table": "| Number of laundry baskets | Number of turtleneck sweaters |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | 40 |\n| 5 | ? |" } ] }, { "id": "35913", "image": "35913.png", "conversations": [ { "from": "human", "question": "How much more does a piece of red and purple stationery cost than a sheet of green paper?\n" }, { "from": "gpt", "solution": "Subtract the price of a sheet of green paper from the price of a piece of red and purple stationery.\n\n$0.08 - $0.04 = $0.04\n\nA piece of red and purple stationery costs $0.04 more than a sheet of green paper.", "answer": "0.04", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| sheet of shiny silver paper | $0.05 |\n| piece of red and purple stationery | $0.08 |\n| sheet of green paper | $0.04 |\n| sheet of blue and yellow paper | $0.03 |\n| sheet of bright yellow paper | $0.07 |\n| purple envelope | $0.07 |" } ] }, { "id": "35917", "image": "35917.png", "conversations": [ { "from": "human", "question": "In considering whether to open a new branch, the city council examined the number of times some typical residents went to the library last month. How many people went to the library at least 2 times last month?\n" }, { "from": "gpt", "solution": "Find the rows for 2, 3, and 4 times last month. Add the frequencies for these rows.\n\nAdd:\n\n10 + 2 + 4 = 16\n\n16 people went to the library at least 2 times last month.", "answer": "16", "table": "**Going to the library last month**\n\n| Number of trips | Frequency |\n| --- | --- |\n| 1 | 20 |\n| 2 | 10 |\n| 3 | 2 |\n| 4 | 4 |" } ] }, { "id": "35918", "image": "35918.png", "conversations": [ { "from": "human", "question": "Some friends went bowling and kept track of their scores. Who had the highest score?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 89.\n\nNow find the corresponding name. Tristan corresponds to 89.", "answer": "Tristan", "table": "**Bowling scores**\n\n| Name | Score |\n| --- | --- |\n| Nicholas | 88 |\n| Michelle | 85 |\n| Tristan | 89 |\n| Andy | 86 |" } ] }, { "id": "35921", "image": "35921.png", "conversations": [ { "from": "human", "question": "Finn counted the number of pieces of pepperoni on each pizza he made. How many pizzas had exactly 48 pieces of pepperoni?\n" }, { "from": "gpt", "solution": "For the number 48, the stem is 4, and the leaf is 8. Find the row where the stem is 4. In that row, count all the leaves equal to 8.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 pizzas had exactly 48 pieces of pepperoni.", "answer": "2", "table": "**Pieces of pepperoni per pizza**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1, 4 |\n| 2 | 7 |\n| 3 | |\n| 4 | 5, 8, 8 |" } ] }, { "id": "35922", "image": "35922.png", "conversations": [ { "from": "human", "question": "How much money does Jack need to buy a tiny gold bead and an orange glass bead?\n" }, { "from": "gpt", "solution": "Add the price of a tiny gold bead and the price of an orange glass bead:\n\n$0.06 + $0.09 = $0.15\n\nJack needs $0.15.", "answer": "0.15", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| tiny gold bead | $0.06 |\n| shiny metal bead | $0.07 |\n| orange and yellow striped bead | $0.02 |\n| star-shaped silver bead | $0.07 |\n| orange glass bead | $0.09 |\n| purple and red clay bead | $0.01 |" } ] }, { "id": "35924", "image": "35924.png", "conversations": [ { "from": "human", "question": "The manager of a party supply store researched how many balloons it sold in the past 4 days. On which day did the store sell the fewest balloons?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 13.\n\nNow find the corresponding day. Saturday corresponds to 13.", "answer": "Saturday", "table": "**Balloons sold**\n\n| Day | Number of balloons |\n| --- | --- |\n| Saturday | 13 |\n| Sunday | 18 |\n| Monday | 14 |\n| Tuesday | 19 |" } ] }, { "id": "35932", "image": "35932.png", "conversations": [ { "from": "human", "question": "If Ellen buys 4 pounds of blanched peanuts and 3 pounds of garlic peanuts, how much will she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the blanched peanuts. Multiply:\n\n$4 × 4 = $16\n\nFind the cost of the garlic peanuts. Multiply:\n\n$2 × 3 = $6\n\nNow find the total cost by adding:\n\n$16 + $6 = $22\n\nShe will spend $22.", "answer": "22", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| unshelled peanuts | $4 per pound |\n| honey roasted peanuts | $3 per pound |\n| blanched peanuts | $4 per pound |\n| salted peanuts | $2 per pound |\n| garlic peanuts | $2 per pound |\n| unsalted peanuts | $4 per pound |" } ] }, { "id": "35936", "image": "35936.png", "conversations": [ { "from": "human", "question": "Principal Wilson reported the state test scores from some students at her school. What is the lowest score?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 1.\n\nNow find the lowest leaf in the first row. The lowest leaf is 3.\n\nThe lowest score has a stem of 1 and a leaf of 3. Write the stem first, then the leaf: 13.\n\nThe lowest score is 13 points.", "answer": "13", "table": "**Test scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 3 |\n| 2 | 0, 8 |\n| 3 | |\n| 4 | 1, 8, 9 |\n| 5 | 0, 1, 2, 4, 7 |\n| 6 | 0, 4, 5, 6 |\n| 7 | 1, 4, 4, 4, 5 |" } ] }, { "id": "35940", "image": "35940.png", "conversations": [ { "from": "human", "question": "An actor was informed how many fan letters he received each day. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n4, 8, 4, 7, 4, 8\n\nFirst, arrange the numbers from least to greatest:\n\n4, 4, 4, 7, 8, 8\n\nNow count how many times each number appears.\n\n4 appears 3 times.\n7 appears 1 time.\n8 appears 2 times.\n\nThe number that appears most often is 4.\n\nThe mode is 4.", "answer": "4", "table": "**Fan letters received**\n\n| Day | Number of fan letters |\n| --- | --- |\n| Tuesday | 4 |\n| Wednesday | 8 |\n| Thursday | 4 |\n| Friday | 7 |\n| Saturday | 4 |\n| Monday | 8 |" } ] }, { "id": "35942", "image": "35942.png", "conversations": [ { "from": "human", "question": "Ariana has $16.50. Does she have enough to buy a paperback book and a mystery novel?\n" }, { "from": "gpt", "solution": "Add the price of a paperback book and the price of a mystery novel:\n\n$8.45 + $8.26 = $16.71\n\n$16.71 is more than $16.50. Ariana does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| science-fiction book | $4.31 |\n| mystery novel | $8.26 |\n| crossword puzzle book | $8.74 |\n| geography book | $8.61 |\n| coloring book | $8.08 |\n| paperback book | $8.45 |" } ] }, { "id": "35943", "image": "35943.png", "conversations": [ { "from": "human", "question": "Each restaurant table has 5 bowls of cereal. How many bowls of cereal are on 5 restaurant tables?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 25 bowls of cereal on 5 restaurant tables.", "answer": "25", "table": "| Number of restaurant tables | Number of bowls of cereal |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | 20 |\n| 5 | ? |" } ] }, { "id": "35948", "image": "35948.png", "conversations": [ { "from": "human", "question": "If Kirk buys 4 kilograms of plum tomatoes and 5 kilograms of roma tomatoes, how much will he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the plum tomatoes. Multiply:\n\n$1.18 × 4 = $4.72\n\nFind the cost of the roma tomatoes. Multiply:\n\n$2.02 × 5 = $10.10\n\nNow find the total cost by adding:\n\n$4.72 + $10.10 = $14.82\n\nHe will spend $14.82.", "answer": "14.82", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| roma tomatoes | $2.02/kg |\n| cherry tomatoes | $1.66/kg |\n| vine-ripened tomatoes | $2.13/kg |\n| plum tomatoes | $1.18/kg |\n| heirloom tomatoes | $2.26/kg |" } ] }, { "id": "35949", "image": "35949.png", "conversations": [ { "from": "human", "question": "A cable company analyst paid attention to how many new customers it had each day. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n8, 10, 9, 2, 6, 10, 4\n\nFirst, arrange the numbers from least to greatest:\n\n2, 4, 6, 8, 9, 10, 10\n\nNow find the number in the middle.\n\n2, 4, 6, 8, 9, 10, 10\n\nThe number in the middle is 8.\n\nThe median is 8.", "answer": "8", "table": "**New cable customers**\n\n| Day | Number of new customers |\n| --- | --- |\n| Monday | 8 |\n| Tuesday | 10 |\n| Wednesday | 9 |\n| Thursday | 2 |\n| Friday | 6 |\n| Saturday | 10 |\n| Sunday | 4 |" } ] }, { "id": "35958", "image": "35958.png", "conversations": [ { "from": "human", "question": "Ann graphed the daily low temperature for 5 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n17, 16, 14, 13, 12\n\nFirst, arrange the numbers from least to greatest:\n\n12, 13, 14, 16, 17\n\nNow find the number in the middle.\n\n12, 13, 14, 16, 17\n\nThe number in the middle is 14.\n\nThe median is 14.", "answer": "14", "table": "**Daily low temperature**\n\n| Day | Temperature (°C) |\n| --- | --- |\n| Tuesday | 17 |\n| Wednesday | 16 |\n| Thursday | 14 |\n| Friday | 13 |\n| Saturday | 12 |" } ] }, { "id": "35960", "image": "35960.png", "conversations": [ { "from": "human", "question": "Each room has 5 people. How many people are in 5 rooms?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 25 people in 5 rooms.", "answer": "25", "table": "| Number of rooms | Number of people |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | 20 |\n| 5 | ? |" } ] }, { "id": "35964", "image": "35964.png", "conversations": [ { "from": "human", "question": "Look at this table. Is this relation a function?\n" }, { "from": "gpt", "solution": "Look at the x-values in the table.\n\nEach of the x-values is paired with only one y-value, so the relation is a function.", "answer": "yes", "table": "| x | y |\n| --- | --- |\n| 3 | 3 |\n| 7 | 19 |\n| 10 | 18 |\n| 14 | 1 |" } ] }, { "id": "35968", "image": "35968.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $535, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $535, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $375 | 19,800 | 8,600 |\n| $535 | 15,800 | 9,800 |\n| $695 | 11,800 | 11,000 |\n| $855 | 7,800 | 12,200 |\n| $1,015 | 3,800 | 13,400 |" } ] }, { "id": "35969", "image": "35969.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $825, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $825, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $405 | 18,900 | 9,500 |\n| $545 | 15,500 | 12,600 |\n| $685 | 12,100 | 15,700 |\n| $825 | 8,700 | 18,800 |\n| $965 | 5,300 | 21,900 |" } ] }, { "id": "35972", "image": "35972.png", "conversations": [ { "from": "human", "question": "Kenny went to the store and bought 2 pounds of Chinese lettuce and 1 pound of romaine lettuce. How much did he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the Chinese lettuce. Multiply:\n\n$2 × 2 = $4\n\nFind the cost of the romaine lettuce. Multiply:\n\n$1 × 1 = $1\n\nNow find the total cost by adding:\n\n$4 + $1 = $5\n\nHe spent $5.", "answer": "5", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| summer crisp lettuce | $4/pound |\n| butterhead lettuce | $1/pound |\n| romaine lettuce | $1/pound |\n| Chinese lettuce | $2/pound |" } ] }, { "id": "35974", "image": "35974.png", "conversations": [ { "from": "human", "question": "Jerry counted the number of pieces of pepperoni on each pizza he made. How many pizzas had exactly 27 pieces of pepperoni?\n" }, { "from": "gpt", "solution": "For the number 27, the stem is 2, and the leaf is 7. Find the row where the stem is 2. In that row, count all the leaves equal to 7.\n\nYou counted 1 leaf, which is blue in the stem-and-leaf plot above. 1 pizza had exactly27 pieces of pepperoni.", "answer": "1", "table": "**Pieces of pepperoni per pizza**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 4, 5 |\n| 2 | 5, 7, 9 |\n| 3 | |\n| 4 | 2, 6, 7, 9, 9 |" } ] }, { "id": "35976", "image": "35976.png", "conversations": [ { "from": "human", "question": "A city planner counted the number of floors per building in the downtown area. What is the largest number of floors?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 7.\n\nNow find the highest leaf in the last row. The highest leaf is 9.\n\nThe largest number of floors has a stem of 7 and a leaf of 9. Write the stem first, then the leaf: 79.\n\nThe largest number of floors is 79 floors.", "answer": "79", "table": "**Floors per building**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 1, 8 |\n| 3 | 1, 4, 8, 9, 9 |\n| 4 | 0, 1, 1, 2, 4, 4 |\n| 5 | 4, 7 |\n| 6 | 0, 5, 8, 9 |\n| 7 | 0, 0, 0, 6, 8, 9 |" } ] }, { "id": "35979", "image": "35979.png", "conversations": [ { "from": "human", "question": "Each aquarium has 10 orange fish. How many orange fish are in 4 aquariums?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 40 orange fish in 4 aquariums.", "answer": "40", "table": "| Number of aquariums | Number of orange fish |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | ? |" } ] }, { "id": "35980", "image": "35980.png", "conversations": [ { "from": "human", "question": "Wendy has $0.73. How much money will Wendy have left if she buys a piece of mint chocolate and a gumball?\n" }, { "from": "gpt", "solution": "Find the total cost of a piece of mint chocolate and a gumball.\n\n$0.12 + $0.21 = $0.33\n\nNow subtract the total cost from the starting amount.\n\n$0.73 - $0.33 = $0.40\n\nWendy will have $0.40 left.", "answer": "0.40", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| butterscotch candy | $0.11 |\n| gummy worm | $0.19 |\n| caramel | $0.14 |\n| piece of mint chocolate | $0.12 |\n| gumball | $0.21 |" } ] }, { "id": "35981", "image": "35981.png", "conversations": [ { "from": "human", "question": "An economist tracked the amount of per-capita aid sent from the U.S. to various countries during the 1900s. In 1985, which country received more aid per capita, Pakistan or Nepal?\n" }, { "from": "gpt", "solution": "Find the 1985 column. Compare the numbers in this column for Pakistan and Nepal.\n\n$14.00 is more than $8.00. In 1985, Nepal received more aid per capita.", "answer": "Nepal", "table": "**Aid received per capita from the U.S.**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 1975 | 1985 |\n| Pakistan | $9 | $8 |\n| Nepal | $3 | $14 |\n| Libya | $2 | $1 |\n| Afghanistan | $5 | $1 |" } ] }, { "id": "35992", "image": "35992.png", "conversations": [ { "from": "human", "question": "An employee at the candle factory reported on the number of candles made each month. How many candles did the factory make in total in September and October?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nSeptember: 6,344\nOctober: 1,405\n\nNow add: 6,344 + 1,405 = 7,749.\n\nThe factory made 7,749 candles in September and October.", "answer": "7,749", "table": "**Candles made**\n\n| Month | Number of candles |\n| --- | --- |\n| September | 6,344 |\n| October | 1,405 |\n| November | 2,534 |" } ] }, { "id": "36010", "image": "36010.png", "conversations": [ { "from": "human", "question": "An author kept a log of how many pages he wrote in the past 5 days. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n2, 1, 7, 0, 5\n\nFirst, count how many numbers are in the group.\n\nThere are 5 numbers.\n\nNow add all the numbers together:\n\n2 + 1 + 7 + 0 + 5 = 15\n\nNow divide the sum by the number of numbers:\n\n15 ÷ 5 = 3\n\nThe mean is 3.", "answer": "3", "table": "**Pages written**\n\n| Day | Number of pages |\n| --- | --- |\n| Wednesday | 2 |\n| Thursday | 1 |\n| Friday | 7 |\n| Saturday | 0 |\n| Sunday | 5 |" } ] }, { "id": "36013", "image": "36013.png", "conversations": [ { "from": "human", "question": "The Oak Grove Tourism Office researched how often people played miniature golf last summer. How many people played mini-golf exactly 3 times last summer?\n" }, { "from": "gpt", "solution": "Find the row for 3 times and read the frequency. The frequency is 0.\n\n0 people played mini-golf exactly 3 times last summer.", "answer": "0", "table": "**Playing miniature golf last summer**\n\n| Times played | Frequency |\n| --- | --- |\n| 0 | 13 |\n| 1 | 12 |\n| 2 | 17 |\n| 3 | 0 |\n| 4 | 5 |" } ] }, { "id": "36021", "image": "36021.png", "conversations": [ { "from": "human", "question": "How much money does Kristen need to buy 5 scallop shells and 4 pink and white striped shells?\n" }, { "from": "gpt", "solution": "Find the cost of 5 scallop shells.\n\n$0.28 × 5 = $1.40\n\nFind the cost of 4 pink and white striped shells.\n\n$0.52 × 4 = $2.08\n\nNow find the total cost.\n\n$1.40 + $2.08 = $3.48\n\nKristen needs $3.48.", "answer": "3.48", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| orange cone shell | $0.46 |\n| scallop shell | $0.28 |\n| white spindle shell | $0.63 |\n| pink and white striped shell | $0.52 |\n| whole sand dollar | $0.75 |\n| dark gray shell | $0.13 |" } ] }, { "id": "36027", "image": "36027.png", "conversations": [ { "from": "human", "question": "Kimberly's classmates revealed how many science articles they read. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n8, 6, 5, 7, 9\n\nFirst, find the greatest number. The greatest number is 9.\n\nNext, find the least number. The least number is 5.\n\nSubtract the least number from the greatest number:\n\n9 − 5 = 4\n\nThe range is 4.", "answer": "4", "table": "**Science articles read**\n\n| Name | Number of science articles |\n| --- | --- |\n| Kimberly | 8 |\n| Valeria | 6 |\n| Sophia | 5 |\n| Brad | 7 |\n| Lorenzo | 9 |" } ] }, { "id": "36035", "image": "36035.png", "conversations": [ { "from": "human", "question": "Miss Hammond ran a sit-up competition among her P.E. students and monitored how many sit-ups each students could do. How many people did exactly 41 sit-ups?\n" }, { "from": "gpt", "solution": "For the number 41, the stem is 4, and the leaf is 1. Find the row where the stem is 4. In that row, count all the leaves equal to 1.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 people did exactly 41 sit-ups.", "answer": "2", "table": "**Sit-up competition (number of sit-ups)**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 0, 8, 9 |\n| 3 | 9 |\n| 4 | 0, 0, 1, 1, 3, 6, 9 |\n| 5 | 0, 7 |\n| 6 | 2, 5 |\n| 7 | 0, 0, 1, 1, 5 |" } ] }, { "id": "36041", "image": "36041.png", "conversations": [ { "from": "human", "question": "A pizza chef recalled how many pizzas she had made during the past 4 days. On which day did the chef make the fewest pizzas?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 92.\n\nNow find the corresponding day. Tuesday corresponds to 92.", "answer": "Tuesday", "table": "**Pizzas made**\n\n| Day | Number of pizzas |\n| --- | --- |\n| Monday | 98 |\n| Tuesday | 92 |\n| Wednesday | 97 |\n| Thursday | 94 |" } ] }, { "id": "36047", "image": "36047.png", "conversations": [ { "from": "human", "question": "Ron's Candies has been studying how much chocolate people have been eating in different countries. In 2002, how much more chocolate did Germany consume per capita than Norway?\n" }, { "from": "gpt", "solution": "Find the 2002 column. Find the numbers in this column for Germany and Norway.\n\nGermany: 10\nNorway: 8\n\nNow subtract:\n\n10 − 8 = 2\n\nIn 2002, Germany consumed 2 kilograms more chocolate per capita than Norway.", "answer": "2", "table": "**Chocolate consumption per capita (kg)**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 2002 | 2005 |\n| Germany | 10 | 11 |\n| Austria | 8 | 9 |\n| Norway | 8 | 9 |\n| Poland | 3 | 4 |\n| Sweden | 8 | 7 |" } ] }, { "id": "36053", "image": "36053.png", "conversations": [ { "from": "human", "question": "Justin kept track of the number of games his soccer team won each year. According to the table, what was the rate of change between 2008 and 2009?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{31 games - 24 games}{2009 - 2008}\n = \\frac{31 games - 24 games}{1 year}\n = \\frac{7 games}{1 year}\n = 7 games per year\nThe rate of change between 2008 and 2009 was 7 games per year.", "answer": "7", "table": "**Games won by Justin's soccer team**\n\n| Year | Games won |\n| --- | --- |\n| 2006 | 34 |\n| 2007 | 39 |\n| 2008 | 24 |\n| 2009 | 31 |\n| 2010 | 25 |" } ] }, { "id": "36062", "image": "36062.png", "conversations": [ { "from": "human", "question": "Lorenzo's school reported how many members each sports team had. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n48, 45, 47, 47, 49, 50, 49, 49\n\nFirst, count how many numbers are in the group.\n\nThere are 8 numbers.\n\nNow add all the numbers together:\n\n48 + 45 + 47 + 47 + 49 + 50 + 49 + 49 = 384\n\nNow divide the sum by the number of numbers:\n\n384 ÷ 8 = 48\n\nThe mean is 48.", "answer": "48", "table": "**Sports team membership**\n\n| Team | Number of members |\n| --- | --- |\n| soccer team | 48 |\n| water polo team | 45 |\n| basketball team | 47 |\n| baseball team | 47 |\n| wrestling team | 49 |\n| softball team | 50 |\n| football team | 49 |\n| volleyball team | 49 |" } ] }, { "id": "36073", "image": "36073.png", "conversations": [ { "from": "human", "question": "A theme park developer recorded the number of people who visited the local water park last summer. How many people went to the water park at least 2 times?\n" }, { "from": "gpt", "solution": "Find the rows for 2, 3, and 4 times. Add the frequencies for these rows.\n\nAdd:\n\n14 + 11 + 2 = 27\n\n27 people went to the water park at least 2 times.", "answer": "27", "table": "**Going to the water park last summer**\n\n| Number of trips | Frequency |\n| --- | --- |\n| 1 | 1 |\n| 2 | 14 |\n| 3 | 11 |\n| 4 | 2 |" } ] }, { "id": "36074", "image": "36074.png", "conversations": [ { "from": "human", "question": "How much more does a watermelon cost than a grapefruit?\n" }, { "from": "gpt", "solution": "Subtract the price of a grapefruit from the price of a watermelon.\n\n$3.94 - $1.20 = $2.74\n\nA watermelon costs $2.74 more than a grapefruit.", "answer": "2.74", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| red pepper | $1.44 |\n| cucumber | $1.17 |\n| watermelon | $3.94 |\n| grapefruit | $1.20 |\n| pumpkin | $7.33 |" } ] }, { "id": "36077", "image": "36077.png", "conversations": [ { "from": "human", "question": "At a candy factory, butterscotch candies were packaged into bags of different sizes. How many bags had at least 50 butterscotch candies?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 5 and 6.\n\nYou counted 10 leaves, which are blue in the stem-and-leaf plot above. 10 bags had at least 50 butterscotch candies.", "answer": "10", "table": "**Butterscotch candies per bag**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 0, 4, 5, 5, 6, 8, 9 |\n| 4 | 4, 4, 4, 5, 7, 7, 7, 9 |\n| 5 | 0, 2, 3, 3, 3, 5, 8, 9 |\n| 6 | 7, 9 |" } ] }, { "id": "36080", "image": "36080.png", "conversations": [ { "from": "human", "question": "A shipping company keeps track of the number of boxes in each shipment they send out. What is the smallest number of boxes?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 2.\n\nNow find the lowest leaf in the first row. The lowest leaf is 6.\n\nThe smallest number of boxes has a stem of 2 and a leaf of 6. Write the stem first, then the leaf: 26.\n\nThe smallest number of boxes is 26 boxes.", "answer": "26", "table": "**Boxes per shipment**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 6 |\n| 3 | 3 |\n| 4 | 9 |\n| 5 | 2, 8, 9 |\n| 6 | |\n| 7 | |\n| 8 | 7 |" } ] }, { "id": "36088", "image": "36088.png", "conversations": [ { "from": "human", "question": "At a candy factory, butterscotch candies were packaged into bags of different sizes. How many bags had at least 27 butterscotch candies but fewer than 61 butterscotch candies?\n" }, { "from": "gpt", "solution": "Find the row with stem 2. Count all the leaves greater than or equal to 7.\n\nCount all the leaves in the rows with stems 3, 4, and 5.\n\nIn the row with stem 6, count all the leaves less than 1.\n\nYou counted 11 leaves, which are blue in the stem-and-leaf plots above. 11 bags had at least 27 butterscotch candies but fewer than 61 butterscotch candies.", "answer": "11", "table": "**Butterscotch candies per bag**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 3, 3, 5, 6, 7 |\n| 3 | 3, 4, 4, 8 |\n| 4 | 0, 1, 5, 6 |\n| 5 | 7, 9 |\n| 6 | 3, 5 |" } ] }, { "id": "36090", "image": "36090.png", "conversations": [ { "from": "human", "question": "An ice cream shop kept track of how many ice cream cones it sold in the past 4 days. On which day did the shop sell the fewest ice cream cones?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 61.\n\nNow find the corresponding day. Monday corresponds to 61.", "answer": "Monday", "table": "**Ice cream cones sold**\n\n| Day | Number of ice cream cones |\n| --- | --- |\n| Monday | 61 |\n| Tuesday | 67 |\n| Wednesday | 62 |\n| Thursday | 65 |" } ] }, { "id": "36093", "image": "36093.png", "conversations": [ { "from": "human", "question": "Kevin is a sandwich maker at a local deli. Last week, he tracked the number of peanut butter and jelly sandwiches ordered, noting the flavor of jelly and type of peanut butter requested. What is the probability that a randomly selected sandwich was made with strawberry jelly and creamy peanut butter? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the sandwich was made with strawberry jelly\" and B be the event \"the sandwich was made with creamy peanut butter\".\nTo find the probability that a sandwich was made with strawberry jelly and creamy peanut butter, first identify the sample space and the event.\nThe outcomes in the sample space are the different sandwiches. Each sandwich is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the sandwich was made with strawberry jelly and creamy peanut butter\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the sandwich was made with strawberry jelly and creamy peanut butter\", so look at the table to see how many sandwiches were made with strawberry jelly and creamy peanut butter.\nThe number of sandwiches that were made with strawberry jelly and creamy peanut butter is 4.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of sandwiches.\n4 + 4 + 3 + 3 = 14\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{4}{14}\n = \\frac{2}{7}\nThe probability that a sandwich was made with strawberry jelly and creamy peanut butter is \\frac{2}{7}.", "answer": "2/7", "table": "| | Creamy peanut butter | Chunky peanut butter |\n| --- | --- | --- |\n| Strawberry jelly | 4 | 3 |\n| Grape jelly | 4 | 3 |" } ] }, { "id": "36095", "image": "36095.png", "conversations": [ { "from": "human", "question": "How much money does Roy need to buy a cello and a violin?\n" }, { "from": "gpt", "solution": "Add the price of a cello and the price of a violin:\n\n$826 + $233 = $1,059\n\nRoy needs $1,059.", "answer": "1,059", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| violin | $233 |\n| oboe | $926 |\n| saxophone | $895 |\n| piccolo | $512 |\n| cornet | $430 |\n| cello | $826 |" } ] }, { "id": "36101", "image": "36101.png", "conversations": [ { "from": "human", "question": "How much money does Andrew need to buy 4 symphony tickets and 3 basketball tickets?\n" }, { "from": "gpt", "solution": "Find the cost of 4 symphony tickets.\n\n$48 × 4 = $192\n\nFind the cost of 3 basketball tickets.\n\n$41 × 3 = $123\n\nNow find the total cost.\n\n$192 + $123 = $315\n\nAndrew needs $315.", "answer": "315", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| basketball ticket | $41 |\n| hockey ticket | $41 |\n| dance performance ticket | $31 |\n| symphony ticket | $48 |\n| football ticket | $77 |" } ] }, { "id": "36105", "image": "36105.png", "conversations": [ { "from": "human", "question": "Deion has $11,690. How much money will Deion have left if he buys a microscope and a precision balance?\n" }, { "from": "gpt", "solution": "Find the total cost of a microscope and a precision balance.\n\n$7,673 + $3,663 = $11,336\n\nNow subtract the total cost from the starting amount.\n\n$11,690 - $11,336 = $354\n\nDeion will have $354 left.", "answer": "354", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| telescope | $5,734 |\n| autoclave | $9,997 |\n| microscope | $7,673 |\n| precision balance | $3,663 |\n| laboratory freezer | $2,065 |\n| centrifuge | $2,460 |" } ] }, { "id": "36113", "image": "36113.png", "conversations": [ { "from": "human", "question": "How much money does Gordon need to buy 6 slices of peach pie?\n" }, { "from": "gpt", "solution": "Find the total cost of 6 slices of peach pie by multiplying 6 times the price of a slice of peach pie.\n\n$3.64 × 6 = $21.84\n\nGordon needs $21.84.", "answer": "21.84", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| muffin | $1.41 |\n| slice of cake | $2.14 |\n| slice of cherry pie | $3.93 |\n| slice of peach pie | $3.64 |\n| cupcake | $1.35 |\n| blueberry muffin | $2.17 |" } ] }, { "id": "36129", "image": "36129.png", "conversations": [ { "from": "human", "question": "Jeffrey went on a bird watching trip and jotted down the number of birds he saw each day. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n10, 7, 5, 4, 9\n\nFirst, find the greatest number. The greatest number is 10.\n\nNext, find the least number. The least number is 4.\n\nSubtract the least number from the greatest number:\n\n10 − 4 = 6\n\nThe range is 6.", "answer": "6", "table": "**Number of birds**\n\n| Day | Number of birds |\n| --- | --- |\n| Sunday | 10 |\n| Monday | 7 |\n| Tuesday | 5 |\n| Wednesday | 4 |\n| Thursday | 9 |" } ] }, { "id": "36134", "image": "36134.png", "conversations": [ { "from": "human", "question": "Some friends played miniature golf and wrote down their scores. How many more strokes did Sandeep take than Erica?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nSandeep: 175\nErica: 128\n\nNow subtract: 175 - 128 = 47.\n\nSandeep took 47 more strokes.", "answer": "47", "table": "**Miniature golf scores**\n\n| Name | Score |\n| --- | --- |\n| Marshall | 150 |\n| Barbara | 131 |\n| Darius | 114 |\n| Erica | 128 |\n| Sandeep | 175 |" } ] }, { "id": "36141", "image": "36141.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{13 - 14}{15 - 14}\n = \\frac{-1}{1}\n = -1\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{7 - 13}{16 - 15}\n = \\frac{-6}{1}\n = -6\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 14 | 14 |\n| 15 | 13 |\n| 16 | 7 |" } ] }, { "id": "36142", "image": "36142.png", "conversations": [ { "from": "human", "question": "An amusement park manager looked up the number of ride tickets sold in the past 4 days. How many tickets did the amusement park sell in total on Thursday and Sunday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nThursday: 8,952\nSunday: 7,784\n\nNow add: 8,952 + 7,784 = 16,736.\n\nThe amusement park sold 16,736 tickets on Thursday and Sunday.", "answer": "16,736", "table": "**Tickets sold**\n\n| Day | Number of tickets |\n| --- | --- |\n| Thursday | 8,952 |\n| Friday | 7,807 |\n| Saturday | 6,290 |\n| Sunday | 7,784 |" } ] }, { "id": "36144", "image": "36144.png", "conversations": [ { "from": "human", "question": "How much money does Mitch need to buy a banana cream pie and a chocolate cheesecake?\n" }, { "from": "gpt", "solution": "Add the price of a banana cream pie and the price of a chocolate cheesecake:\n\n$9.85 + $9.01 = $18.86\n\nMitch needs $18.86.", "answer": "18.86", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pineapple upside-down cake | $8.85 |\n| banana cream pie | $9.85 |\n| pear tart | $7.09 |\n| key lime pie | $6.97 |\n| chocolate cheesecake | $9.01 |\n| pecan pie | $9.82 |" } ] }, { "id": "36155", "image": "36155.png", "conversations": [ { "from": "human", "question": "How much more does a lawn mower cost than a ladder?\n" }, { "from": "gpt", "solution": "Subtract the price of a ladder from the price of a lawn mower.\n\n$78.00 - $34.00 = $44.00\n\nA lawn mower costs $44.00 more than a ladder.", "answer": "44", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| hammer | $24.00 |\n| lawn mower | $78.00 |\n| shovel | $10.00 |\n| ladder | $34.00 |" } ] }, { "id": "36156", "image": "36156.png", "conversations": [ { "from": "human", "question": "Alexa wants to buy 3.4 pounds of cashew butter. How much will she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the cashew butter. Multiply the price per pound by the number of pounds.\n$4 × 3.4 = $13.60\nShe will spend $13.60.", "answer": "13.60", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| sunflower seed butter | $4/pound |\n| walnut butter | $7/pound |\n| almond butter | $4/pound |\n| cashew butter | $4/pound |" } ] }, { "id": "36157", "image": "36157.png", "conversations": [ { "from": "human", "question": "Katy has $34.00. Does she have enough to buy a math book and a poetry book?\n" }, { "from": "gpt", "solution": "Add the price of a math book and the price of a poetry book:\n\n$17.51 + $14.71 = $32.22\n\n$32.22 is less than $34.00. Katy does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| coloring book | $20.02 |\n| crossword puzzle book | $17.12 |\n| geography book | $23.18 |\n| math book | $17.51 |\n| picture book | $16.00 |\n| poetry book | $14.71 |" } ] }, { "id": "36158", "image": "36158.png", "conversations": [ { "from": "human", "question": "How much more does a piece of elegant stationery cost than a white note card?\n" }, { "from": "gpt", "solution": "Subtract the price of a white note card from the price of a piece of elegant stationery.\n\n$0.07 - $0.06 = $0.01\n\nA piece of elegant stationery costs $0.01 more than a white note card.", "answer": "0.01", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| piece of floral stationery | $0.02 |\n| piece of elegant stationery | $0.07 |\n| bright blue note card | $0.01 |\n| white note card | $0.06 |" } ] }, { "id": "36162", "image": "36162.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which event begins at 4.50 P.M.?\n" }, { "from": "gpt", "solution": "Find 4:50 P. M. on the schedule. The football game begins at 4:50 P. M.", "answer": "football game", "table": "**High school schedule**\n\n| Event | Begin | End |\n| --- | --- | --- |\n| track meet | 2:55 P.M. | 4:20 P.M. |\n| student government meeting | 4:15 P.M. | 5:25 P.M. |\n| football game | 4:50 P.M. | 5:50 P.M. |\n| theater rehearsal | 5:40 P.M. | 6:50 P.M. |\n| marching band practice | 6:30 P.M. | 8:10 P.M. |" } ] }, { "id": "36165", "image": "36165.png", "conversations": [ { "from": "human", "question": "How much would it cost to buy 4+3/4 kilograms of sauteed chicken?\n" }, { "from": "gpt", "solution": "Find the cost of the sauteed chicken. Multiply the price per kilogram by the number of kilograms.\n$4 × 4\\frac{3}{4} = $4 × 4.75 = $19\nIt would cost $19.", "answer": "19", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| baked chicken | $3 per kg |\n| roast chicken | $3 per kg |\n| breaded chicken | $4 per kg |\n| sauteed chicken | $4 per kg |\n| curried chicken | $2 per kg |\n| fried chicken | $3 per kg |" } ] }, { "id": "36166", "image": "36166.png", "conversations": [ { "from": "human", "question": "Look at this table. Is this relation a function?\n" }, { "from": "gpt", "solution": "Look at the x-values in the table.\n\nThe x-value 0 is paired with multiple y-values, so the relation is not a function.", "answer": "no", "table": "| x | y |\n| --- | --- |\n| 0 | 19 |\n| 4 | 6 |\n| 0 | 13 |" } ] }, { "id": "36170", "image": "36170.png", "conversations": [ { "from": "human", "question": "A museum curator counted the number of paintings in each exhibit at the art museum. How many exhibits have at least 50 paintings but fewer than 70 paintings?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 5 and 6.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 exhibits have at least 50 paintings but fewer than 70 paintings.", "answer": "3", "table": "**Paintings per exhibit**\n\n| Stem | Leaf |\n| --- | --- |\n| 5 | 1, 8 |\n| 6 | 3 |\n| 7 | 1, 8 |\n| 8 | 4 |" } ] }, { "id": "36181", "image": "36181.png", "conversations": [ { "from": "human", "question": "A pet store owner had his staff count the number of fish in each tank. What is the largest number of fish per tank?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 7.\n\nNow find the highest leaf in the last row. The highest leaf is 8.\n\nThe largest number of fish per tank has a stem of 7 and a leaf of 8. Write the stem first, then the leaf: 78.\n\nThe largest number of fish per tank is 78 fish.", "answer": "78", "table": "**Fish per tank**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 1, 6, 7, 7 |\n| 4 | 0, 0, 4 |\n| 5 | |\n| 6 | 1, 9 |\n| 7 | 6, 8 |" } ] }, { "id": "36188", "image": "36188.png", "conversations": [ { "from": "human", "question": "A reporter looked through her notebook to remember how many people she had interviewed in the past 7 days. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n19, 12, 12, 21, 8, 7, 12\n\nFirst, count how many numbers are in the group.\n\nThere are 7 numbers.\n\nNow add all the numbers together:\n\n19 + 12 + 12 + 21 + 8 + 7 + 12 = 91\n\nNow divide the sum by the number of numbers:\n\n91 ÷ 7 = 13\n\nThe mean is 13.", "answer": "13", "table": "**People interviewed**\n\n| Day | Number of people |\n| --- | --- |\n| Sunday | 19 |\n| Monday | 12 |\n| Tuesday | 12 |\n| Wednesday | 21 |\n| Thursday | 8 |\n| Friday | 7 |\n| Saturday | 12 |" } ] }, { "id": "36194", "image": "36194.png", "conversations": [ { "from": "human", "question": "How much money does Sandra need to buy a pair of shorts and a yellow skirt?\n" }, { "from": "gpt", "solution": "Add the price of a pair of shorts and the price of a yellow skirt:\n\n$18.00 + $17.00 = $35.00\n\nSandra needs $35.00.", "answer": "35", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| yellow skirt | $17.00 |\n| pair of shorts | $18.00 |\n| black skirt | $13.00 |\n| pair of jeans | $40.00 |\n| gray sweatshirt | $15.00 |" } ] }, { "id": "36200", "image": "36200.png", "conversations": [ { "from": "human", "question": "Mona spent a week at the beach and recorded the number of shells she found each day. According to the table, what was the rate of change between Tuesday and Wednesday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{0 shells - 2 shells}{1 day}\n = \\frac{-2 shells}{1 day}\n = -2 shells per day\nThe rate of change between Tuesday and Wednesday was - 2 shells per day.", "answer": "-2", "table": "**Shells Mona found**\n\n| Day | Number of shells |\n| --- | --- |\n| Tuesday | 2 |\n| Wednesday | 0 |\n| Thursday | 3 |\n| Friday | 6 |\n| Saturday | 1 |" } ] }, { "id": "36206", "image": "36206.png", "conversations": [ { "from": "human", "question": "How much money does Jen need to buy a diamond bracelet and a garnet ring?\n" }, { "from": "gpt", "solution": "Add the price of a diamond bracelet and the price of a garnet ring:\n\n$975.00 + $519.00 = $1,494.00\n\nJen needs $1,494.00.", "answer": "1,494", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| emerald ring | $980.00 |\n| diamond bracelet | $975.00 |\n| opal ring | $753.00 |\n| sapphire pendant | $813.00 |\n| pearl bracelet | $864.00 |\n| garnet ring | $519.00 |" } ] }, { "id": "36209", "image": "36209.png", "conversations": [ { "from": "human", "question": "Some students compared how many clubs they belong to. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n2, 2, 8, 2, 4\n\nFirst, arrange the numbers from least to greatest:\n\n2, 2, 2, 4, 8\n\nNow find the number in the middle.\n\n2, 2, 2, 4, 8\n\nThe number in the middle is 2.\n\nThe median is 2.", "answer": "2", "table": "**Clubs**\n\n| Name | Number of clubs |\n| --- | --- |\n| Daniel | 2 |\n| Wyatt | 2 |\n| Colin | 8 |\n| Martina | 2 |\n| Addison | 4 |" } ] }, { "id": "36217", "image": "36217.png", "conversations": [ { "from": "human", "question": "Dakota kept track of the number of characters in each book she read. How many books had at least 20 characters but fewer than 30 characters?\n" }, { "from": "gpt", "solution": "Count all the leaves in the row with stem 2.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 books had at least 20 characters but fewer than 30 characters.", "answer": "4", "table": "**Characters per book**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 5, 8, 8 |\n| 2 | 1, 3, 5, 6 |\n| 3 | 0, 1, 6, 9 |\n| 4 | 0, 0, 0, 2, 2, 6, 7, 9 |" } ] }, { "id": "36222", "image": "36222.png", "conversations": [ { "from": "human", "question": "A cable company analyst paid attention to how many new customers it had each day. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n10, 4, 3, 9, 2, 9, 8\n\nFirst, find the greatest number. The greatest number is 10.\n\nNext, find the least number. The least number is 2.\n\nSubtract the least number from the greatest number:\n\n10 − 2 = 8\n\nThe range is 8.", "answer": "8", "table": "**New cable customers**\n\n| Day | Number of new customers |\n| --- | --- |\n| Wednesday | 10 |\n| Thursday | 4 |\n| Friday | 3 |\n| Saturday | 9 |\n| Sunday | 2 |\n| Monday | 9 |\n| Tuesday | 8 |" } ] }, { "id": "36226", "image": "36226.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{14 - 10}{5 - 4}\n = \\frac{4}{1}\n = 4\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{18 - 10}{6 - 4}\n = \\frac{8}{2}\n = 4\nThe two rates of change are the same.\nIf you checked the rate of change between rows 2 and 3, you would find that it is also 4.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 4 | 10 |\n| 5 | 14 |\n| 6 | 18 |" } ] }, { "id": "36227", "image": "36227.png", "conversations": [ { "from": "human", "question": "Roger has $331. How much money will Roger have left if he buys a bearded dragon and a chinchilla?\n" }, { "from": "gpt", "solution": "Find the total cost of a bearded dragon and a chinchilla.\n\n$114 + $135 = $249\n\nNow subtract the total cost from the starting amount.\n\n$331 - $249 = $82\n\nRoger will have $82 left.", "answer": "82", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| chinchilla | $135 |\n| cockatoo | $152 |\n| pot-bellied pig | $173 |\n| bearded dragon | $114 |\n| finch | $157 |" } ] }, { "id": "36232", "image": "36232.png", "conversations": [ { "from": "human", "question": "A bus driver paid attention to how many passengers his bus had each day. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n35, 45, 26, 33, 31\n\nFirst, count how many numbers are in the group.\n\nThere are 5 numbers.\n\nNow add all the numbers together:\n\n35 + 45 + 26 + 33 + 31 = 170\n\nNow divide the sum by the number of numbers:\n\n170 ÷ 5 = 34\n\nThe mean is 34.", "answer": "34", "table": "**People on the bus**\n\n| Day | Number of people |\n| --- | --- |\n| Thursday | 35 |\n| Friday | 45 |\n| Saturday | 26 |\n| Sunday | 33 |\n| Monday | 31 |" } ] }, { "id": "36241", "image": "36241.png", "conversations": [ { "from": "human", "question": "What is the total cost for 3/10 of a pound of crab meat?\n" }, { "from": "gpt", "solution": "Find the cost of the crab meat. Multiply the price per pound by the number of pounds.\n$6 × \\frac{3}{10} = $6 × 0.3 = $1.80\nThe total cost is $1.80.", "answer": "1.80", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| shrimp | $8 per pound |\n| crab meat | $6 per pound |\n| oysters | $10 per pound |\n| scallops | $5 per pound |\n| lobster meat | $6 per pound |\n| mussels | $3 per pound |" } ] }, { "id": "36251", "image": "36251.png", "conversations": [ { "from": "human", "question": "How much money does Vicky need to buy 8 wooden benches?\n" }, { "from": "gpt", "solution": "Find the total cost of 8 wooden benches by multiplying 8 times the price of a wooden bench.\n\n$63.84 × 8 = $510.72\n\nVicky needs $510.72.", "answer": "510.72", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| wooden bench | $63.84 |\n| picnic table | $85.88 |\n| red clay pot | $29.08 |\n| hammock | $88.03 |\n| leaf blower | $78.56 |" } ] }, { "id": "36252", "image": "36252.png", "conversations": [ { "from": "human", "question": "A shipping company keeps track of the number of boxes in each shipment they send out. What is the smallest number of boxes?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 4.\n\nNow find the lowest leaf in the first row. The lowest leaf is 6.\n\nThe smallest number of boxes has a stem of 4 and a leaf of 6. Write the stem first, then the leaf: 46.\n\nThe smallest number of boxes is 46 boxes.", "answer": "46", "table": "**Boxes per shipment**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 6, 6 |\n| 5 | 2, 5 |\n| 6 | 5, 6, 6, 6, 7, 8 |\n| 7 | 0, 1, 1, 7, 7, 7, 9 |\n| 8 | 2, 6, 8, 9, 9, 9, 9 |\n| 9 | 0 |" } ] }, { "id": "36257", "image": "36257.png", "conversations": [ { "from": "human", "question": "The advertising agency counted the number of billboards in each city in the state. How many cities have fewer than 45 billboards?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1, 2, and 3.\n\nIn the row with stem 4, count all the leaves less than 5.\n\nYou counted 11 leaves, which are blue in the stem-and-leaf plots above. 11 cities have fewer than 45 billboards.", "answer": "11", "table": "**Billboards per city**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0 |\n| 2 | 2, 8 |\n| 3 | 1, 1, 2, 6, 7, 8 |\n| 4 | 0, 2, 9, 9 |" } ] }, { "id": "36269", "image": "36269.png", "conversations": [ { "from": "human", "question": "Dale has $13,006. Does he have enough to buy a red two-door coupe and a black convertible?\n" }, { "from": "gpt", "solution": "Add the price of a red two-door coupe and the price of a black convertible:\n\n$5,978 + $6,968 = $12,946\n\n$12,946 is less than $13,006. Dale does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| old white van | $4,970 |\n| red two-door coupe | $5,978 |\n| black convertible | $6,968 |\n| big blue van | $9,166 |" } ] }, { "id": "36270", "image": "36270.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Eliana is at the grocery store. If she wants to arrive at the mall at 1.15 P.M., what time should she get on the bus?\n" }, { "from": "gpt", "solution": "Look at the row for the mall. Find the bus that arrives at the mall at 1:15 P. M.\n\nLook up the column until you find the row for the grocery store.\n\nEliana should get on the bus at 11:15 A. M.", "answer": "11:15 A.M.", "table": "**Bus schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 | Column 5 | Column 6 |\n| --- | --- | --- | --- | --- | --- |\n| the science museum | 9:45 A.M. | 10:00 A.M. | 10:15 A.M. | 10:45 A.M. | 11:00 A.M. |\n| the school | 10:15 A.M. | 10:30 A.M. | 10:45 A.M. | 11:15 A.M. | 11:30 A.M. |\n| the grocery store | 11:00 A.M. | 11:15 A.M. | 11:30 A.M. | 12:00 P.M. | 12:15 P.M. |\n| the post office | 12:00 P.M. | 12:15 P.M. | 12:30 P.M. | 1:00 P.M. | 1:15 P.M. |\n| the mall | 1:00 P.M. | 1:15 P.M. | 1:30 P.M. | 2:00 P.M. | 2:15 P.M. |" } ] }, { "id": "36282", "image": "36282.png", "conversations": [ { "from": "human", "question": "An employee at the craft store counted the number of red buttons in each bag of mixed buttons. How many bags had at least 39 red buttons?\n" }, { "from": "gpt", "solution": "Find the row with stem 3. Count all the leaves greater than or equal to 9.\n\nCount all the leaves in the rows with stems 4, 5, 6, 7, and 8.\n\nYou counted 16 leaves, which are blue in the stem-and-leaf plots above. 16 bags had at least 39 red buttons.", "answer": "16", "table": "**Red buttons per bag**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 4 |\n| 3 | 4, 5, 6, 8 |\n| 4 | 1, 1, 3 |\n| 5 | 3 |\n| 6 | 8 |\n| 7 | 0, 3, 3, 4, 5, 7 |\n| 8 | 1, 4, 6, 8, 9 |" } ] }, { "id": "36288", "image": "36288.png", "conversations": [ { "from": "human", "question": "The members of the swimming team compared how many laps they swam yesterday. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n20, 39, 16, 25, 34\n\nFirst, find the greatest number. The greatest number is 39.\n\nNext, find the least number. The least number is 16.\n\nSubtract the least number from the greatest number:\n\n39 − 16 = 23\n\nThe range is 23.", "answer": "23", "table": "**Swimming laps**\n\n| Name | Laps |\n| --- | --- |\n| Nina | 20 |\n| Brenna | 39 |\n| Lorenzo | 16 |\n| Whitney | 25 |\n| Damon | 34 |" } ] }, { "id": "36300", "image": "36300.png", "conversations": [ { "from": "human", "question": "Each tin has 2 donuts. How many donuts are in 5 tins?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 10 donuts in 5 tins.", "answer": "10", "table": "| Number of tins | Number of donuts |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | 6 |\n| 4 | 8 |\n| 5 | ? |" } ] }, { "id": "36307", "image": "36307.png", "conversations": [ { "from": "human", "question": "How much money does Shelley need to buy a measuring tape and a lawn mower?\n" }, { "from": "gpt", "solution": "Add the price of a measuring tape and the price of a lawn mower:\n\n$10 + $79 = $89\n\nShelley needs $89.", "answer": "89", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| lawn mower | $79 |\n| wheelbarrow | $50 |\n| mop | $10 |\n| hammer | $23 |\n| measuring tape | $10 |" } ] }, { "id": "36310", "image": "36310.png", "conversations": [ { "from": "human", "question": "A farmer recalled how many watermelons were harvested in the past 5 days. How many watermelons in total were harvested on Monday and Tuesday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nMonday: 2,471\nTuesday: 2,789\n\nNow add: 2,471 + 2,789 = 5,260.\n\n5,260 were harvested on Monday and Tuesday.", "answer": "5,260", "table": "**Watermelons harvested**\n\n| Day | Number of watermelons |\n| --- | --- |\n| Friday | 1,904 |\n| Saturday | 4,557 |\n| Sunday | 3,079 |\n| Monday | 2,471 |\n| Tuesday | 2,789 |" } ] }, { "id": "36312", "image": "36312.png", "conversations": [ { "from": "human", "question": "A researcher recorded the number of cows on each farm in the county. How many farms have exactly 25 cows?\n" }, { "from": "gpt", "solution": "For the number 25, the stem is 2, and the leaf is 5. Find the row where the stem is 2. In that row, count all the leaves equal to 5.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 farms have exactly25 cows.", "answer": "2", "table": "**Cows per farm**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 5, 5 |\n| 3 | 3, 8, 9 |\n| 4 | |\n| 5 | 5 |\n| 6 | 7 |" } ] }, { "id": "36313", "image": "36313.png", "conversations": [ { "from": "human", "question": "A pair of Harrison High School hockey fans counted the number of games won by the school each year. According to the table, what was the rate of change between 2011 and 2012?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{7 games - 5 games}{2012 - 2011}\n = \\frac{7 games - 5 games}{1 year}\n = \\frac{2 games}{1 year}\n = 2 games per year\nThe rate of change between 2011 and 2012 was 2 games per year.", "answer": "2", "table": "**Hockey games won by Harrison High**\n\n| Year | Games won |\n| --- | --- |\n| 2008 | 11 |\n| 2009 | 7 |\n| 2010 | 6 |\n| 2011 | 5 |\n| 2012 | 7 |" } ] }, { "id": "36330", "image": "36330.png", "conversations": [ { "from": "human", "question": "A real estate agent drove around the neighborhood and counted the number of houses on each block. How many blocks have exactly 36 houses?\n" }, { "from": "gpt", "solution": "For the number 36, the stem is 3, and the leaf is 6. Find the row where the stem is 3. In that row, count all the leaves equal to 6.\n\nYou counted 1 leaf, which is blue in the stem-and-leaf plot above. 1 block has exactly 36 houses.", "answer": "1", "table": "**Houses per block**\n\n| Stem | Leaf |\n| --- | --- |\n| 0 | 5, 7 |\n| 1 | 0, 4, 5 |\n| 2 | 0, 0, 1, 2, 3, 3, 4, 6, 7, 8, 9 |\n| 3 | 0, 1, 2, 4, 6, 8 |" } ] }, { "id": "36334", "image": "36334.png", "conversations": [ { "from": "human", "question": "How much money does Bruce need to buy a frying pan and 8 sets of forks?\n" }, { "from": "gpt", "solution": "Find the cost of 8 sets of forks.\n\n$10.22 × 8 = $81.76\n\nNow find the total cost.\n\n$22.84 + $81.76 = $104.60\n\nBruce needs $104.60.", "answer": "104.60", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| set of dishes | $97.65 |\n| frying pan | $22.84 |\n| set of forks | $10.22 |\n| soup pot | $58.55 |" } ] }, { "id": "36335", "image": "36335.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does the men's vault event end?\n" }, { "from": "gpt", "solution": "Find the men's vault event on the schedule. Find the end time for the men's vault event.\n\nmen's vault: 2:30 P. M.", "answer": "2:30 P.M.", "table": "**Gymnastics meet schedule**\n\n| Event | Begin | End |\n| --- | --- | --- |\n| men's parallel bars | 11:30 A.M. | 12:05 P.M. |\n| women's balance beam | 12:20 P.M. | 12:55 P.M. |\n| men's floor exercise | 12:50 P.M. | 1:40 P.M. |\n| men's vault | 1:45 P.M. | 2:30 P.M. |\n| men's rings | 2:30 P.M. | 2:50 P.M. |\n| men's pommel horse | 2:35 P.M. | 3:00 P.M. |\n| men's high bar | 2:45 P.M. | 3:45 P.M. |" } ] }, { "id": "36337", "image": "36337.png", "conversations": [ { "from": "human", "question": "The parks department compared how many soccer fields there are at each park. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n1, 6, 1, 1, 6, 3, 3\n\nFirst, arrange the numbers from least to greatest:\n\n1, 1, 1, 3, 3, 6, 6\n\nNow count how many times each number appears.\n\n1 appears 3 times.\n3 appears 2 times.\n6 appears 2 times.\n\nThe number that appears most often is 1.\n\nThe mode is 1.", "answer": "1", "table": "**Soccer fields**\n\n| Park | Number of soccer fields |\n| --- | --- |\n| Crane Park | 1 |\n| Juniper Park | 6 |\n| Middle Park | 1 |\n| Madison Park | 1 |\n| Moon Park | 6 |\n| Windy Hill Park | 3 |\n| Elmhurst Park | 3 |" } ] }, { "id": "36339", "image": "36339.png", "conversations": [ { "from": "human", "question": "Ms. Suzuki reported her students' scores on the most recent quiz. What is the highest score?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 7.\n\nNow find the highest leaf in the last row. The highest leaf is 5.\n\nThe highest score has a stem of 7 and a leaf of 5. Write the stem first, then the leaf: 75.\n\nThe highest score is 75 points.", "answer": "75", "table": "**Quiz scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 2 |\n| 2 | 1, 2, 4, 5, 5 |\n| 3 | 0 |\n| 4 | 4 |\n| 5 | 2, 2, 3 |\n| 6 | 5 |\n| 7 | 0, 1, 5 |" } ] }, { "id": "36341", "image": "36341.png", "conversations": [ { "from": "human", "question": "Bruce went on a road trip and tracked his driving each day. How many miles in total did Bruce drive on Sunday and Tuesday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nSunday: 106\nTuesday: 281\n\nNow add: 106 + 281 = 387.\n\nBruce drove 387 miles on Sunday and Tuesday.", "answer": "387", "table": "**Miles driven**\n\n| Day | Number of miles |\n| --- | --- |\n| Saturday | 296 |\n| Sunday | 106 |\n| Monday | 209 |\n| Tuesday | 281 |" } ] }, { "id": "36343", "image": "36343.png", "conversations": [ { "from": "human", "question": "How much more does a jar of cherries cost than a can of mushrooms?\n" }, { "from": "gpt", "solution": "Subtract the price of a can of mushrooms from the price of a jar of cherries.\n\n$2.37 - $2.31 = $0.06\n\nA jar of cherries costs $0.06 more than a can of mushrooms.", "answer": "0.06", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| jar of cherries | $2.37 |\n| can of green beans | $1.37 |\n| can of peaches | $2.43 |\n| can of mushrooms | $2.31 |" } ] }, { "id": "36348", "image": "36348.png", "conversations": [ { "from": "human", "question": "Bryant has $1,544.00. Does he have enough to buy an African safari vacation package and a Jamaican vacation package?\n" }, { "from": "gpt", "solution": "Add the price of an African safari vacation package and the price of a Jamaican vacation package:\n\n$962.00 + $608.00 = $1,570.00\n\n$1,570.00 is more than $1,544.00. Bryant does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| European vacation package | $643.00 |\n| Caribbean vacation package | $839.00 |\n| African safari vacation package | $962.00 |\n| Jamaican vacation package | $608.00 |" } ] }, { "id": "36350", "image": "36350.png", "conversations": [ { "from": "human", "question": "Mrs. Hammond kept track of her students' scores on last year's final exam. How many students scored exactly 90 points?\n" }, { "from": "gpt", "solution": "For the number 90, the stem is 9, and the leaf is 0. Find the row where the stem is 9. In that row, count all the leaves equal to 0.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 students scored exactly 90 points.", "answer": "3", "table": "**Final exam scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 6 |\n| 2 | 2, 9 |\n| 3 | 2 |\n| 4 | 0, 5 |\n| 5 | 3, 6, 8 |\n| 6 | 1, 8 |\n| 7 | 2 |\n| 8 | 4 |\n| 9 | 0, 0, 0 |" } ] }, { "id": "36355", "image": "36355.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which activity ends at 3.10 P.M.?\n" }, { "from": "gpt", "solution": "Find 3:10 P. M. on the schedule. Aerobics ends at 3:10 P. M.", "answer": "aerobics", "table": "**Gym schedule**\n\n| Activity | Begin | End |\n| --- | --- | --- |\n| dodgeball | 9:10 A.M. | 10:45 A.M. |\n| floor hockey | 10:50 A.M. | 12:05 P.M. |\n| indoor soccer | 12:20 P.M. | 2:00 P.M. |\n| aerobics | 2:10 P.M. | 3:10 P.M. |\n| basketball | 3:20 P.M. | 4:40 P.M. |" } ] }, { "id": "36356", "image": "36356.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $1,475, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $1,475, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $875 | 19,500 | 4,300 |\n| $1,075 | 18,600 | 7,400 |\n| $1,275 | 17,700 | 10,500 |\n| $1,475 | 16,800 | 13,600 |\n| $1,675 | 15,900 | 16,700 |" } ] }, { "id": "36363", "image": "36363.png", "conversations": [ { "from": "human", "question": "Charlotte counted the number of pairs of shoes for sale at each of the shoe stores in the mall. What is the smallest number of pairs of shoes?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 1.\n\nNow find the lowest leaf in the first row. The lowest leaf is 9.\n\nThe smallest number of pairs of shoes has a stem of 1 and a leaf of 9. Write the stem first, then the leaf: 19.\n\nThe smallest number of pairs of shoes is 19 pairs of shoes.", "answer": "19", "table": "**Pairs of shoes per store**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 9 |\n| 2 | 5 |\n| 3 | 3, 8, 9 |\n| 4 | 3, 8 |\n| 5 | 0, 8, 9 |\n| 6 | 6 |\n| 7 | 9 |\n| 8 | 3, 4, 7 |" } ] }, { "id": "36368", "image": "36368.png", "conversations": [ { "from": "human", "question": "The Lexington Public Library serves a diverse community and has a foreign language section catering to non-English speakers. What fraction of foreign language books are in Vietnamese? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many foreign language books are in Vietnamese.\n\n260\n\nFind how many foreign language books there are in total.\n\n840 + 390 + 260 = 1,490\n\nDivide 260 by1,490.\n\n\\frac{260}{1,490}\n\nReduce the fraction.\n\n\\frac{260}{1,490} → \\frac{26}{149}\n\n\\frac{26}{149} of foreign language books are in Vietnamese.", "answer": "26/149", "table": "**Foreign language books**\n\n| Language | Number of books |\n| --- | --- |\n| Russian | 840 |\n| Hindi | 390 |\n| Vietnamese | 260 |" } ] }, { "id": "36381", "image": "36381.png", "conversations": [ { "from": "human", "question": "The teachers at a middle school counted how many computers they had in their classrooms. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 3, 4, 2, 1, 14, 2, 5\n\nFirst, count how many numbers are in the group.\n\nThere are 8 numbers.\n\nNow add all the numbers together:\n\n9 + 3 + 4 + 2 + 1 + 14 + 2 + 5 = 40\n\nNow divide the sum by the number of numbers:\n\n40 ÷ 8 = 5\n\nThe mean is 5.", "answer": "5", "table": "**Computers in classrooms**\n\n| Teacher | Number of computers |\n| --- | --- |\n| Mr. Schmidt | 9 |\n| Mrs. Jansen | 3 |\n| Mr. Morales | 4 |\n| Ms. Cohen | 2 |\n| Mrs. Rossi | 1 |\n| Ms. Rojas | 14 |\n| Mrs. Tan | 2 |\n| Mr. Watson | 5 |" } ] }, { "id": "36385", "image": "36385.png", "conversations": [ { "from": "human", "question": "A girl compared the ages of her cousins. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 4, 9, 7, 1, 8\n\nFirst, count how many numbers are in the group.\n\nThere are 6 numbers.\n\nNow add all the numbers together:\n\n7 + 4 + 9 + 7 + 1 + 8 = 36\n\nNow divide the sum by the number of numbers:\n\n36 ÷ 6 = 6\n\nThe mean is 6.", "answer": "6", "table": "**Ages of cousins**\n\n| Name | Age (years) |\n| --- | --- |\n| Anna | 7 |\n| Edgar | 4 |\n| Vince | 9 |\n| Carrie | 7 |\n| Jamie | 1 |\n| Riley | 8 |" } ] }, { "id": "36402", "image": "36402.png", "conversations": [ { "from": "human", "question": "Mrs. Kirby hosts an annual art contest for kids, and she keeps a record of the number of entries each year. According to the table, what was the rate of change between 2016 and 2017?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{23 entries - 17 entries}{2017 - 2016}\n = \\frac{23 entries - 17 entries}{1 year}\n = \\frac{6 entries}{1 year}\n = 6 entries per year\nThe rate of change between 2016 and 2017 was 6 entries per year.", "answer": "6", "table": "**Art contest entries**\n\n| Year | Number of entries |\n| --- | --- |\n| 2016 | 17 |\n| 2017 | 23 |\n| 2018 | 21 |\n| 2019 | 27 |\n| 2020 | 23 |" } ] }, { "id": "36416", "image": "36416.png", "conversations": [ { "from": "human", "question": "The gym teacher wrote down how many tennis balls his students hit in half an hour. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n95, 94, 93, 97, 94\n\nFirst, find the greatest number. The greatest number is 97.\n\nNext, find the least number. The least number is 93.\n\nSubtract the least number from the greatest number:\n\n97 − 93 = 4\n\nThe range is 4.", "answer": "4", "table": "**Hitting tennis balls**\n\n| Name | Number of tennis balls |\n| --- | --- |\n| Denise | 95 |\n| Jasmine | 94 |\n| Sophie | 93 |\n| Lucia | 97 |\n| Oliver | 94 |" } ] }, { "id": "36417", "image": "36417.png", "conversations": [ { "from": "human", "question": "For a fundraiser, the children in the art club made greeting cards and kept track of how many they produced. How many children made more than 1 greeting card?\n" }, { "from": "gpt", "solution": "Find the rows for 2, 3, and 4 greeting cards. Add the frequencies for these rows.\n\nAdd:\n\n17 + 4 + 15 = 36\n\n36 children made more than 1 greeting card.", "answer": "36", "table": "**Making greeting cards**\n\n| Greeting cards made | Frequency |\n| --- | --- |\n| 0 | 14 |\n| 1 | 12 |\n| 2 | 17 |\n| 3 | 4 |\n| 4 | 15 |" } ] }, { "id": "36419", "image": "36419.png", "conversations": [ { "from": "human", "question": "Professor Khan released the results of yesterday's pop quiz. How many students scored at least 50 points?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 5, 6, 7, 8, and 9.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 students scored at least 50 points.", "answer": "2", "table": "**Pop quiz scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 8 |\n| 2 | 4, 7 |\n| 3 | 1 |\n| 4 | 0, 2, 5, 5, 6 |\n| 5 | 2 |\n| 6 | |\n| 7 | |\n| 8 | |\n| 9 | 0 |" } ] }, { "id": "36424", "image": "36424.png", "conversations": [ { "from": "human", "question": "Mrs. Kim, the biology teacher, asked her students how many times they went to the science museum last year. How many students went to the science museum exactly 4 times last year?\n" }, { "from": "gpt", "solution": "Find the row for 4 times and read the frequency. The frequency is 5.\n\n5 students went to the science museum exactly 4 times last year.", "answer": "5", "table": "**Trips to the science museum last year**\n\n| Number of trips | Frequency |\n| --- | --- |\n| 0 | 12 |\n| 1 | 15 |\n| 2 | 18 |\n| 3 | 4 |\n| 4 | 5 |\n| 5 | 2 |" } ] }, { "id": "36431", "image": "36431.png", "conversations": [ { "from": "human", "question": "Marcy has $32. Does she have enough to buy a pumpkin pie and a chocolate cheesecake?\n" }, { "from": "gpt", "solution": "Add the price of a pumpkin pie and the price of a chocolate cheesecake:\n\n$15 + $18 = $33\n\n$33 is more than $32. Marcy does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| chocolate cheesecake | $18 |\n| key lime pie | $11 |\n| pecan pie | $10 |\n| pumpkin pie | $15 |" } ] }, { "id": "36437", "image": "36437.png", "conversations": [ { "from": "human", "question": "A parent volunteer counted the number of boxes sold by each student participating in the cookie fundraiser. How many students sold at least 2 boxes of cookies?\n" }, { "from": "gpt", "solution": "Find the rows for 2, 3, 4, and 5 boxes of cookies. Add the frequencies for these rows.\n\nAdd:\n\n7 + 15 + 18 + 11 = 51\n\n51 students sold at least 2 boxes of cookies.", "answer": "51", "table": "**Selling cookies**\n\n| Boxes sold | Frequency |\n| --- | --- |\n| 1 | 17 |\n| 2 | 7 |\n| 3 | 15 |\n| 4 | 18 |\n| 5 | 11 |" } ] }, { "id": "36444", "image": "36444.png", "conversations": [ { "from": "human", "question": "Barry looked at his calendar to see how many hours he had worked in the past 5 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n4, 9, 1, 7, 1\n\nFirst, find the greatest number. The greatest number is 9.\n\nNext, find the least number. The least number is 1.\n\nSubtract the least number from the greatest number:\n\n9 − 1 = 8\n\nThe range is 8.", "answer": "8", "table": "**Hours worked**\n\n| Day | Hours |\n| --- | --- |\n| Monday | 4 |\n| Tuesday | 9 |\n| Wednesday | 1 |\n| Thursday | 7 |\n| Friday | 1 |" } ] }, { "id": "36446", "image": "36446.png", "conversations": [ { "from": "human", "question": "How much money does Reba need to buy 6 river rafts?\n" }, { "from": "gpt", "solution": "Find the total cost of 6 river rafts by multiplying 6 times the price of a river raft.\n\n$985.00 × 6 = $5,910.00\n\nReba needs $5,910.00.", "answer": "5,910", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| mountain bike | $717.00 |\n| wetsuit | $677.00 |\n| snowboard | $723.00 |\n| river raft | $985.00 |" } ] }, { "id": "36450", "image": "36450.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $1,015, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $1,015, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $415 | 10,600 | 9,200 |\n| $615 | 8,800 | 12,100 |\n| $815 | 7,000 | 15,000 |\n| $1,015 | 5,200 | 17,900 |\n| $1,215 | 3,400 | 20,800 |" } ] }, { "id": "36451", "image": "36451.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{14 - 6}{17 - 16}\n = \\frac{8}{1}\n = 8\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{17 - 6}{18 - 16}\n = \\frac{11}{2}\n = 5\\frac{1}{2}\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 16 | 6 |\n| 17 | 14 |\n| 18 | 17 |" } ] }, { "id": "36452", "image": "36452.png", "conversations": [ { "from": "human", "question": "Each hamburger place has 2 dishwashers. How many dishwashers are in 5 hamburger places?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 10 dishwashers in 5 hamburger places.", "answer": "10", "table": "| Number of hamburger places | Number of dishwashers |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | 6 |\n| 4 | 8 |\n| 5 | ? |" } ] }, { "id": "36454", "image": "36454.png", "conversations": [ { "from": "human", "question": "Bob buys 2 kilograms of fiber scrap. How much does he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the fiber scrap. Multiply the price per kilogram by the number of kilograms.\n\n$0.51 × 2 = $1.02\n\nHe spends $1.02.", "answer": "1.02", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| vellum scrap | $1.04 per kg |\n| card stock scrap | $1.15 per kg |\n| parchment scrap | $1.28 per kg |\n| fiber scrap | $0.51 per kg |\n| linen scrap | $0.81 per kg |\n| Manila scrap | $1.24 per kg |" } ] }, { "id": "36455", "image": "36455.png", "conversations": [ { "from": "human", "question": "Abigail counted the number of pairs of shoes for sale at each of the shoe stores in the mall. What is the largest number of pairs of shoes?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 5.\n\nNow find the highest leaf in the last row. The highest leaf is 8.\n\nThe largest number of pairs of shoes has a stem of 5 and a leaf of 8. Write the stem first, then the leaf: 58.\n\nThe largest number of pairs of shoes is 58 pairs of shoes.", "answer": "58", "table": "**Pairs of shoes per store**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 0, 5, 6, 7, 7, 7, 8, 9 |\n| 3 | 0, 4 |\n| 4 | 0, 6, 8 |\n| 5 | 0, 1, 2, 6, 6, 8 |" } ] }, { "id": "36467", "image": "36467.png", "conversations": [ { "from": "human", "question": "Mr. Middleton, a track coach, recorded the sizes of all the nearby track teams. How many teams have at least 27 members?\n" }, { "from": "gpt", "solution": "Find the row with stem 2. Count all the leaves greater than or equal to 7.\n\nCount all the leaves in the rows with stems 3, 4, 5, 6, 7, and 8.\n\nYou counted 16 leaves, which are blue in the stem-and-leaf plots above. 16 teams have at least 27 members.", "answer": "16", "table": "**Track team sizes (number of members)**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 0, 3, 3, 4, 6, 6 |\n| 3 | 2, 2, 5, 8 |\n| 4 | 9 |\n| 5 | 0, 4, 4 |\n| 6 | 2, 6 |\n| 7 | 0, 1, 3, 5 |\n| 8 | 3, 4 |" } ] }, { "id": "36470", "image": "36470.png", "conversations": [ { "from": "human", "question": "An agricultural agency is researching how much cheese people have been eating in different parts of the world. Which country consumed less cheese per capita in 1996, Austria or Germany?\n" }, { "from": "gpt", "solution": "Find the 1996 column. Compare the numbers in this column for Austria and Germany.\n\n10 is less than 12. Austria consumed less cheese per capita in 1996.", "answer": "Austria", "table": "**Cheese consumption per capita (kg)**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 1996 | 2006 |\n| Australia | 10 | 10 |\n| Austria | 10 | 17 |\n| Germany | 12 | 20 |\n| Argentina | 11 | 11 |\n| Canada | 10 | 11 |" } ] }, { "id": "36480", "image": "36480.png", "conversations": [ { "from": "human", "question": "An Italian restaurant monitored the number of times its regular customers ate pizza last month. How many customers ate pizza at least 1 time?\n" }, { "from": "gpt", "solution": "Find the rows for 1, 2, 3, 4, and 5 times. Add the frequencies for these rows.\n\nAdd:\n\n14 + 8 + 5 + 2 + 9 = 38\n\n38 customers ate pizza at least 1 time.", "answer": "38", "table": "**Eating pizza last month**\n\n| Times eaten | Frequency |\n| --- | --- |\n| 0 | 20 |\n| 1 | 14 |\n| 2 | 8 |\n| 3 | 5 |\n| 4 | 2 |\n| 5 | 9 |" } ] }, { "id": "36484", "image": "36484.png", "conversations": [ { "from": "human", "question": "Judy has $1,719. Does she have enough to buy a trombone and an oboe?\n" }, { "from": "gpt", "solution": "Add the price of a trombone and the price of an oboe:\n\n$845 + $847 = $1,692\n\n$1,692 is less than $1,719. Judy does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| cornet | $741 |\n| guitar | $795 |\n| oboe | $847 |\n| trombone | $845 |" } ] }, { "id": "36497", "image": "36497.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $540, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $540, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $240 | 16,700 | 3,600 |\n| $390 | 13,000 | 4,800 |\n| $540 | 9,300 | 6,000 |\n| $690 | 5,600 | 7,200 |\n| $840 | 1,900 | 8,400 |" } ] }, { "id": "36498", "image": "36498.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Philip is at Elm Street. If he wants to arrive at Woodland Road at 1.00 P.M., what time should he get on the train?\n" }, { "from": "gpt", "solution": "Look at the row for Woodland Road. Find the train that arrives at Woodland Road at 1:00 P. M.\n\nLook up the column until you find the row for Elm Street.\n\nPhilip should get on the train at 11:00 A. M.", "answer": "11:00 A.M.", "table": "**Subway train schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 | Column 5 | Column 6 |\n| --- | --- | --- | --- | --- | --- |\n| Main Avenue | 9:45 A.M. | 10:00 A.M. | 10:15 A.M. | 10:30 A.M. | 11:00 A.M. |\n| Valley Avenue | 10:00 A.M. | 10:15 A.M. | 10:30 A.M. | 10:45 A.M. | 11:15 A.M. |\n| Elm Street | 11:00 A.M. | 11:15 A.M. | 11:30 A.M. | 11:45 A.M. | 12:15 P.M. |\n| Broadway Street | 12:00 P.M. | 12:15 P.M. | 12:30 P.M. | 12:45 P.M. | 1:15 P.M. |\n| Woodland Road | 1:00 P.M. | 1:15 P.M. | 1:30 P.M. | 1:45 P.M. | 2:15 P.M. |" } ] }, { "id": "36499", "image": "36499.png", "conversations": [ { "from": "human", "question": "Some teachers compared how many years they have been teaching. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n1, 6, 4, 6, 4, 7, 1, 1\n\nFirst, arrange the numbers from least to greatest:\n\n1, 1, 1, 4, 4, 6, 6, 7\n\nNow count how many times each number appears.\n\n1 appears 3 times.\n4 appears 2 times.\n6 appears 2 times.\n7 appears 1 time.\n\nThe number that appears most often is 1.\n\nThe mode is 1.", "answer": "1", "table": "**Years of teaching**\n\n| Teacher | Number of years |\n| --- | --- |\n| Mr. Nakamura | 1 |\n| Miss Watson | 6 |\n| Ms. Yamamoto | 4 |\n| Miss Torres | 6 |\n| Miss Lim | 4 |\n| Ms. Chan | 7 |\n| Mr. Park | 1 |\n| Mr. Boone | 1 |" } ] }, { "id": "36500", "image": "36500.png", "conversations": [ { "from": "human", "question": "A pair of Wayne High School hockey fans counted the number of games won by the school each year. According to the table, what was the rate of change between 2019 and 2020?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{12 games - 19 games}{2020 - 2019}\n = \\frac{12 games - 19 games}{1 year}\n = \\frac{-7 games}{1 year}\n = -7 games per year\nThe rate of change between 2019 and 2020 was - 7 games per year.", "answer": "-7", "table": "**Hockey games won by Wayne High**\n\n| Year | Games won |\n| --- | --- |\n| 2017 | 4 |\n| 2018 | 2 |\n| 2019 | 19 |\n| 2020 | 12 |\n| 2021 | 4 |" } ] }, { "id": "36502", "image": "36502.png", "conversations": [ { "from": "human", "question": "Roy's family went on a road trip and counted the number of cars they saw each day. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n85, 76, 77, 84, 74\n\nFirst, arrange the numbers from least to greatest:\n\n74, 76, 77, 84, 85\n\nNow find the number in the middle.\n\n74, 76, 77, 84, 85\n\nThe number in the middle is 77.\n\nThe median is 77.", "answer": "77", "table": "**Number of cars**\n\n| Day | Number of cars |\n| --- | --- |\n| Monday | 85 |\n| Tuesday | 76 |\n| Wednesday | 77 |\n| Thursday | 84 |\n| Friday | 74 |" } ] }, { "id": "36507", "image": "36507.png", "conversations": [ { "from": "human", "question": "The school district compared how many math teachers each high school has. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 8, 7, 3, 6, 8, 10\n\nFirst, arrange the numbers from least to greatest:\n\n3, 6, 7, 7, 8, 8, 10\n\nNow find the number in the middle.\n\n3, 6, 7, 7, 8, 8, 10\n\nThe number in the middle is 7.\n\nThe median is 7.", "answer": "7", "table": "**Math teachers**\n\n| High school | Number of math teachers |\n| --- | --- |\n| Lincoln High | 7 |\n| Northside High | 8 |\n| Moore High | 7 |\n| Thompson High | 3 |\n| Cedar High | 6 |\n| Washington High | 8 |\n| Hillview High | 10 |" } ] }, { "id": "36508", "image": "36508.png", "conversations": [ { "from": "human", "question": "A doctor's records revealed how many patients he saw each month. In which month did the doctor see the most patients?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 795.\n\nNow find the corresponding month. May corresponds to 795.", "answer": "May", "table": "**Patients seen**\n\n| Month | Number of patients |\n| --- | --- |\n| May | 795 |\n| June | 759 |\n| July | 757 |\n| August | 779 |" } ] }, { "id": "36515", "image": "36515.png", "conversations": [ { "from": "human", "question": "The houses in Patty's town get their water from a local reservoir. Patty and a group of engineers monitor the water level for safety and health reasons. The change in water level over two months is shown in the table. During which month did the water level change more?\n" }, { "from": "gpt", "solution": "A positive change means the water level went up. A negative change means the water level went down.\nTo find the month the water level changed more, use absolute value. Absolute value tells you how much the water level changed each month.\nApril: |-6| = 6\nMay: |4| = 4\nThe water level went down 6 inches in April, and it only went up 4 inches in May. The water level changed more in April.", "answer": "April", "table": "| Month | Change in water level (in.) |\n| --- | --- |\n| April | -6 |\n| May | 4 |" } ] }, { "id": "36517", "image": "36517.png", "conversations": [ { "from": "human", "question": "Some friends played a trivia game and recorded their scores. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n46, 55, 55, 46, 48, 55, 48\n\nFirst, arrange the numbers from least to greatest:\n\n46, 46, 48, 48, 55, 55, 55\n\nNow count how many times each number appears.\n\n46 appears 2 times.\n48 appears 2 times.\n55 appears 3 times.\n\nThe number that appears most often is 55.\n\nThe mode is 55.", "answer": "55", "table": "**Trivia game scores**\n\n| Name | Score |\n| --- | --- |\n| Vijay | 46 |\n| Scott | 55 |\n| Bob | 55 |\n| Jason | 46 |\n| Heather | 48 |\n| Charlie | 55 |\n| Aiden | 48 |" } ] }, { "id": "36519", "image": "36519.png", "conversations": [ { "from": "human", "question": "Martha tracked the maximum daily wind speed for 5 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n38, 39, 38, 39, 43\n\nFirst, arrange the numbers from least to greatest:\n\n38, 38, 39, 39, 43\n\nNow find the number in the middle.\n\n38, 38, 39, 39, 43\n\nThe number in the middle is 39.\n\nThe median is 39.", "answer": "39", "table": "**Daily wind speed**\n\n| Day | Wind speed (miles per hour) |\n| --- | --- |\n| Saturday | 38 |\n| Sunday | 39 |\n| Monday | 38 |\n| Tuesday | 39 |\n| Wednesday | 43 |" } ] }, { "id": "36524", "image": "36524.png", "conversations": [ { "from": "human", "question": "Mrs. Kelly told students how many rounds to expect in the spelling bee based on previous years. According to the table, what was the rate of change between 2013 and 2014?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{7 rounds - 6 rounds}{2014 - 2013}\n = \\frac{7 rounds - 6 rounds}{1 year}\n = \\frac{1 round}{1 year}\n = 1 round per year\nThe rate of change between 2013 and 2014 was 1 round per year.", "answer": "1", "table": "**Rounds in the spelling bee**\n\n| Year | Rounds |\n| --- | --- |\n| 2011 | 9 |\n| 2012 | 12 |\n| 2013 | 6 |\n| 2014 | 7 |\n| 2015 | 8 |" } ] }, { "id": "36526", "image": "36526.png", "conversations": [ { "from": "human", "question": "Tucker's campground is close to two hiking trails with scenic destinations. One trail ends at an underground lake in the bottom of a small cave. The other trail ends at a mountain peak. The elevation of each destination is shown on the campground map. Which trail's destination is farther from sea level?\n" }, { "from": "gpt", "solution": "The underground lake's elevation is negative, so it is below sea level. The mountain peak's elevation is positive, so it is above sea level.\nTo find the destination farther from sea level, use absolute value. Absolute value tells you how far each destination is from sea level.\nUnderground lake: |-350| = 350\nMountain peak: |325| = 325\nThe underground lake is 350 feet below sea level, and the mountain peak is only 325 feet above sea level. The underground lake is farther from sea level.", "answer": "underground lake", "table": "| Destination | Elevation (ft.) |\n| --- | --- |\n| Underground lake | -350 |\n| Mountain peak | 325 |" } ] }, { "id": "36531", "image": "36531.png", "conversations": [ { "from": "human", "question": "If Leon buys 1/2 of a kilogram of pesto sauce, how much will he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the pesto sauce. Multiply the price per kilogram by the number of kilograms.\n$2 × \\frac{1}{2} = $2 × 0.5 = $1\nHe will spend $1.", "answer": "1", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| beef sauce | $3/kilogram |\n| pesto sauce | $2/kilogram |\n| tomato sauce | $2/kilogram |\n| alfredo sauce | $3/kilogram |\n| marinara sauce | $3/kilogram |\n| chicken sauce | $2/kilogram |" } ] }, { "id": "36532", "image": "36532.png", "conversations": [ { "from": "human", "question": "How much money does Hector need to buy a European vacation package and an Australian vacation package?\n" }, { "from": "gpt", "solution": "Add the price of a European vacation package and the price of an Australian vacation package:\n\n$7,670 + $1,936 = $9,606\n\nHector needs $9,606.", "answer": "9,606", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| African safari vacation package | $9,222 |\n| Jamaican vacation package | $5,644 |\n| European vacation package | $7,670 |\n| Australian vacation package | $1,936 |\n| Caribbean vacation package | $5,088 |" } ] }, { "id": "36545", "image": "36545.png", "conversations": [ { "from": "human", "question": "A bus driver paid attention to how many passengers her bus had each day. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n57, 64, 56, 56, 60\n\nFirst, find the greatest number. The greatest number is 64.\n\nNext, find the least number. The least number is 56.\n\nSubtract the least number from the greatest number:\n\n64 − 56 = 8\n\nThe range is 8.", "answer": "8", "table": "**People on the bus**\n\n| Day | Number of people |\n| --- | --- |\n| Tuesday | 57 |\n| Wednesday | 64 |\n| Thursday | 56 |\n| Friday | 56 |\n| Saturday | 60 |" } ] }, { "id": "36547", "image": "36547.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{10 - 14}{18 - 17}\n = \\frac{-4}{1}\n = -4\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{6 - 14}{19 - 17}\n = \\frac{-8}{2}\n = -4\nThe two rates of change are the same.\n4.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 17 | 14 |\n| 18 | 10 |\n| 19 | 6 |" } ] }, { "id": "36549", "image": "36549.png", "conversations": [ { "from": "human", "question": "Look at this table. Is this relation a function?\n" }, { "from": "gpt", "solution": "Look at the x-values in the table.\n\nThe x-value 12 is paired with multiple y-values, so the relation is not a function.", "answer": "no", "table": "| x | y |\n| --- | --- |\n| 12 | 4 |\n| 12 | 9 |\n| 15 | 7 |" } ] }, { "id": "36553", "image": "36553.png", "conversations": [ { "from": "human", "question": "How much money does Emily need to buy 5 sets of spoons and 6 soup pots?\n" }, { "from": "gpt", "solution": "Find the cost of 5 sets of spoons.\n\n$14.00 × 5 = $70.00\n\nFind the cost of 6 soup pots.\n\n$77.00 × 6 = $462.00\n\nNow find the total cost.\n\n$70.00 + $462.00 = $532.00\n\nEmily needs $532.00.", "answer": "532", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| coffee pot | $14.00 |\n| soup pot | $77.00 |\n| set of spoons | $14.00 |\n| frying pan | $10.00 |\n| cookie jar | $14.00 |" } ] }, { "id": "36559", "image": "36559.png", "conversations": [ { "from": "human", "question": "Ariel is looking at the price of new cell phones online. Her favorite company, OrangeTech, has a special this weekend. Ariel can add an upgrade to a phone for an additional cost, or she can buy a used phone to get a discount. The change in price for each option is shown in the table. Which option results in a greater change in price?\n" }, { "from": "gpt", "solution": "To find the option that results in a greater change in price, use absolute value. Absolute value tells you how much the price changes.\nAdd an upgrade: |$60| = $60\nBuy a used phone: |-$75| = $75\nBuying a used phone results in a greater change in price. It reduces the price by $75.", "answer": "buying a used phone", "table": "| Option | Change in phone price |\n| --- | --- |\n| Add an upgrade | $60 |\n| Buy a used phone | -$75 |" } ] }, { "id": "36562", "image": "36562.png", "conversations": [ { "from": "human", "question": "Some pizza restaurants compared their pizza sales. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n80, 83, 85, 88, 86, 84, 86, 88\n\nFirst, count how many numbers are in the group.\n\nThere are 8 numbers.\n\nNow add all the numbers together:\n\n80 + 83 + 85 + 88 + 86 + 84 + 86 + 88 = 680\n\nNow divide the sum by the number of numbers:\n\n680 ÷ 8 = 85\n\nThe mean is 85.", "answer": "85", "table": "**Pizza slices sold**\n\n| Restaurant | Number of slices sold |\n| --- | --- |\n| The Big Cheese | 80 |\n| Pizzas Only | 83 |\n| Antonio's Pizzeria | 85 |\n| Taste of New York | 88 |\n| Pizzeria Italiano | 86 |\n| Pizza, Pasta and More | 84 |\n| Deep Dish by Dan | 86 |\n| The Real Chicago | 88 |" } ] }, { "id": "36563", "image": "36563.png", "conversations": [ { "from": "human", "question": "Brianna has $0.70. Does she have enough to buy a piece of black mica and a piece of green slate?\n" }, { "from": "gpt", "solution": "Add the price of a piece of black mica and the price of a piece of green slate:\n\n$0.29 + $0.37 = $0.66\n\n$0.66 is less than $0.70. Brianna does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| smooth piece of marble | $0.27 |\n| piece of green slate | $0.37 |\n| smooth piece of sea glass | $0.44 |\n| piece of black mica | $0.29 |" } ] }, { "id": "36590", "image": "36590.png", "conversations": [ { "from": "human", "question": "The advertising agency counted the number of billboards in each city in the state. How many cities have exactly 46 billboards?\n" }, { "from": "gpt", "solution": "For the number 46, the stem is 4, and the leaf is 6. Find the row where the stem is 4. In that row, count all the leaves equal to 6.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 cities have exactly 46 billboards.", "answer": "2", "table": "**Billboards per city**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1, 3 |\n| 2 | 6 |\n| 3 | 9 |\n| 4 | 6, 6 |\n| 5 | |\n| 6 | 6 |\n| 7 | 4, 6, 9 |\n| 8 | 8, 8, 8 |\n| 9 | 0 |" } ] }, { "id": "36601", "image": "36601.png", "conversations": [ { "from": "human", "question": "The owner of a bed and breakfast inn recalled how many guests the inn had hosted each day. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n8, 8, 3, 5, 3, 8\n\nFirst, arrange the numbers from least to greatest:\n\n3, 3, 5, 8, 8, 8\n\nNow count how many times each number appears.\n\n3 appears 2 times.\n5 appears 1 time.\n8 appears 3 times.\n\nThe number that appears most often is 8.\n\nThe mode is 8.", "answer": "8", "table": "**Inn guests**\n\n| Day | Number of guests |\n| --- | --- |\n| Saturday | 8 |\n| Sunday | 8 |\n| Monday | 3 |\n| Tuesday | 5 |\n| Wednesday | 3 |\n| Thursday | 8 |" } ] }, { "id": "36602", "image": "36602.png", "conversations": [ { "from": "human", "question": "A statistics lab required students to draw cards numbered between 1 and 6 and track the results. How many students drew a number greater than 4?\n" }, { "from": "gpt", "solution": "Find the rows for 5 and 6. Add the frequencies for these rows.\n\nAdd:\n\n20 + 4 = 24\n\n24 students drew a number greater than 4.", "answer": "24", "table": "**Drawing a number between 1 and 6**\n\n| Number drawn | Frequency |\n| --- | --- |\n| 1 | 7 |\n| 2 | 16 |\n| 3 | 18 |\n| 4 | 2 |\n| 5 | 20 |\n| 6 | 4 |" } ] }, { "id": "36613", "image": "36613.png", "conversations": [ { "from": "human", "question": "At a candy factory, butterscotch candies were packaged into bags of different sizes. How many bags had at least 20 butterscotch candies but fewer than 50 butterscotch candies?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 2, 3, and 4.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 bags had at least 20 butterscotch candies but fewer than 50 butterscotch candies.", "answer": "2", "table": "**Butterscotch candies per bag**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 6 |\n| 2 | 0 |\n| 3 | |\n| 4 | 3 |\n| 5 | 3, 9 |\n| 6 | 2 |\n| 7 | |\n| 8 | 0, 1, 6, 9 |\n| 9 | 0 |" } ] }, { "id": "36625", "image": "36625.png", "conversations": [ { "from": "human", "question": "The town council reported on how many stop signs there are on each street. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n8, 3, 6, 9, 1\n\nFirst, arrange the numbers from least to greatest:\n\n1, 3, 6, 8, 9\n\nNow find the number in the middle.\n\n1, 3, 6, 8, 9\n\nThe number in the middle is 6.\n\nThe median is 6.", "answer": "6", "table": "**Stop signs**\n\n| Street | Number of stop signs |\n| --- | --- |\n| Irving Street | 8 |\n| Mason Street | 3 |\n| Peabody Street | 6 |\n| Walker Street | 9 |\n| Jackson Street | 1 |" } ] }, { "id": "36626", "image": "36626.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $675, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $675, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $615 | 19,900 | 5,400 |\n| $675 | 18,700 | 8,800 |\n| $735 | 17,500 | 12,200 |\n| $795 | 16,300 | 15,600 |\n| $855 | 15,100 | 19,000 |" } ] }, { "id": "36630", "image": "36630.png", "conversations": [ { "from": "human", "question": "How much more does a box of dog biscuits cost than a bag of cat treats?\n" }, { "from": "gpt", "solution": "Subtract the price of a bag of cat treats from the price of a box of dog biscuits.\n\n$7 - $3 = $4\n\nA box of dog biscuits costs $4 more than a bag of cat treats.", "answer": "4", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| hamster wheel | $5 |\n| bag of cat treats | $3 |\n| box of dog biscuits | $7 |\n| fish bowl | $4 |\n| dog leash | $7 |" } ] }, { "id": "36632", "image": "36632.png", "conversations": [ { "from": "human", "question": "How much more does a sailing trip package cost than a parachuting adventure package?\n" }, { "from": "gpt", "solution": "Subtract the price of a parachuting adventure package from the price of a sailing trip package.\n\n$969.00 - $140.00 = $829.00\n\nA sailing trip package costs $829.00 more than a parachuting adventure package.", "answer": "829", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| camping adventure package | $584.00 |\n| deep-sea fishing package | $113.00 |\n| sailing trip package | $969.00 |\n| parachuting adventure package | $140.00 |" } ] }, { "id": "36635", "image": "36635.png", "conversations": [ { "from": "human", "question": "Roxanne and her friends recorded their scores while playing a board game. How many people scored at least 9?\n" }, { "from": "gpt", "solution": "Find the rows for 9 and 10. Add the frequencies for these rows.\n\nAdd:\n\n4 + 18 = 22\n\n22 people scored at least 9.", "answer": "22", "table": "**Scores on a board game**\n\n| Score | Frequency |\n| --- | --- |\n| 6 | 8 |\n| 7 | 2 |\n| 8 | 6 |\n| 9 | 4 |\n| 10 | 18 |" } ] }, { "id": "36637", "image": "36637.png", "conversations": [ { "from": "human", "question": "How much more does an antique cherry bookcase cost than an antique cedar cabinet?\n" }, { "from": "gpt", "solution": "Subtract the price of an antique cedar cabinet from the price of an antique cherry bookcase.\n\n$830 - $642 = $188\n\nAn antique cherry bookcase costs $188 more than an antique cedar cabinet.", "answer": "188", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| antique cedar cabinet | $642 |\n| antique cherry bookcase | $830 |\n| antique hand-painted trunk | $919 |\n| antique maplewood rocking chair | $126 |" } ] }, { "id": "36639", "image": "36639.png", "conversations": [ { "from": "human", "question": "The bird watcher counted the number of birds in each flock that passed overhead. How many flocks had exactly 67 birds?\n" }, { "from": "gpt", "solution": "For the number 67, the stem is 6, and the leaf is 7. Find the row where the stem is 6. In that row, count all the leaves equal to 7.\n\nYou counted 1 leaf, which is blue in the stem-and-leaf plot above. 1 flock had exactly 67 birds.", "answer": "1", "table": "**Birds per flock**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 8 |\n| 2 | 0, 9 |\n| 3 | 0, 7, 9 |\n| 4 | 0, 2, 6 |\n| 5 | 1, 4, 6 |\n| 6 | 3, 6, 7 |\n| 7 | 3, 8, 9 |" } ] }, { "id": "36642", "image": "36642.png", "conversations": [ { "from": "human", "question": "A cookie factory monitored the number of broken cookies per pack yesterday. What is the smallest number of broken cookies?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 3.\n\nNow find the lowest leaf in the first row. The lowest leaf is 0.\n\nThe smallest number of broken cookies has a stem of 3 and a leaf of 0. Write the stem first, then the leaf: 30.\n\nThe smallest number of broken cookies is 30 broken cookies.", "answer": "30", "table": "**Broken cookies per pack**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 0, 1 |\n| 4 | 1, 4 |\n| 5 | |\n| 6 | 2 |\n| 7 | 1, 3, 5, 7 |" } ] }, { "id": "36644", "image": "36644.png", "conversations": [ { "from": "human", "question": "Rob buys 5 pounds of Parmesan popcorn and 5 pounds of cheddar popcorn. How much does he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the Parmesan popcorn. Multiply:\n\n$2 × 5 = $10\n\nFind the cost of the cheddar popcorn. Multiply:\n\n$1 × 5 = $5\n\nNow find the total cost by adding:\n\n$10 + $5 = $15\n\nHe spends $15.", "answer": "15", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| caramel corn | $4 per pound |\n| kettle corn | $1 per pound |\n| Parmesan popcorn | $2 per pound |\n| chocolate popcorn | $2 per pound |\n| cheddar popcorn | $1 per pound |" } ] }, { "id": "36648", "image": "36648.png", "conversations": [ { "from": "human", "question": "Sally went on a road trip and tracked her driving each day. How many miles in total did Sally drive on Thursday and Friday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nThursday: 418\nFriday: 117\n\nNow add: 418 + 117 = 535.\n\nSally drove 535 miles on Thursday and Friday.", "answer": "535", "table": "**Miles driven**\n\n| Day | Number of miles |\n| --- | --- |\n| Thursday | 418 |\n| Friday | 117 |\n| Saturday | 118 |" } ] }, { "id": "36659", "image": "36659.png", "conversations": [ { "from": "human", "question": "A food industry researcher compiled the revenues of several pizzerias. Which restaurant made the least from supreme pizza sales?\n" }, { "from": "gpt", "solution": "Look at the numbers in the Supreme pizzas column. Find the least number in this column.\n\nThe least number is $8.00, which is in the The Real Chicago row. The Real Chicago made the least from supreme pizza sales.", "answer": "The Real Chicago", "table": "**Pizza sales**\n\n| Restaurant | Vegetarian pizzas | Supreme pizzas |\n| --- | --- | --- |\n| The Real Chicago | $10 | $8 |\n| New York Slice | $11 | $12 |\n| Taste of New York | $6 | $10 |\n| Arnold's Pizzeria | $18 | $11 |" } ] }, { "id": "36669", "image": "36669.png", "conversations": [ { "from": "human", "question": "Mateo counted the number of desks in each classroom at his school. How many classrooms have at least 17 desks?\n" }, { "from": "gpt", "solution": "Find the row with stem 1. Count all the leaves greater than or equal to 7.\n\nCount all the leaves in the rows with stems 2, 3, and 4.\n\nYou counted 14 leaves, which are blue in the stem-and-leaf plots above. 14 classrooms have at least 17 desks.", "answer": "14", "table": "**Desks per classroom**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1, 4, 4, 7, 8 |\n| 2 | 0, 1, 2, 6, 9 |\n| 3 | 0, 1, 2, 3, 6, 8 |\n| 4 | 0 |" } ] }, { "id": "36672", "image": "36672.png", "conversations": [ { "from": "human", "question": "For a class assignment, Malia wanted to study whether or not the color of a person's car correlates with the color of his or her hair. She spent an hour at a stoplight recording the color of each car that passed and the hair color of its driver. What is the probability that a randomly selected driver has blonde hair and has a blue car? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the driver has blonde hair\" and B be the event \"the driver has a blue car\".\nTo find the probability that a driver has blonde hair and has a blue car, first identify the sample space and the event.\nThe outcomes in the sample space are the different drivers. Each driver is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the driver has blonde hair and has a blue car\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the driver has blonde hair and has a blue car\", so look at the table to see how many drivers have blonde hair and have a blue car.\nThe number of drivers who have blonde hair and have a blue car is 8.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of drivers.\n4 + 4 + 4 + 8 = 20\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{8}{20}\n = \\frac{2}{5}\nThe probability that a driver has blonde hair and has a blue car is \\frac{2}{5}.", "answer": "2/5", "table": "| | Red car | Blue car |\n| --- | --- | --- |\n| Red hair | 4 | 4 |\n| Blonde hair | 4 | 8 |" } ] }, { "id": "36677", "image": "36677.png", "conversations": [ { "from": "human", "question": "The Weston Soup Company recorded the number of rotten tomatoes in each barrel it received. How many barrels had exactly 45 rotten tomatoes?\n" }, { "from": "gpt", "solution": "For the number 45, the stem is 4, and the leaf is 5. Find the row where the stem is 4. In that row, count all the leaves equal to 5.\n\nYou counted 0 leaves. 0 barrels had exactly 45 rotten tomatoes.", "answer": "0", "table": "**Rotten tomatoes per barrel**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 2, 3, 4, 4, 4 |\n| 5 | 0, 0, 0, 7, 8, 8 |\n| 6 | 2, 3, 4, 9 |\n| 7 | 1, 4, 4, 7, 7, 9 |" } ] }, { "id": "36682", "image": "36682.png", "conversations": [ { "from": "human", "question": "At their family reunion, the Goodwin family recorded everyone's age. What is the age of the youngest person?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 1.\n\nNow find the lowest leaf in the first row. The lowest leaf is 9.\n\nThe age of the youngest person has a stem of 1 and a leaf of 9. Write the stem first, then the leaf: 19.\n\nThe age of the youngest person is 19 years old.", "answer": "19", "table": "**Ages**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 9 |\n| 2 | |\n| 3 | 0 |\n| 4 | 0, 9 |\n| 5 | |\n| 6 | 5 |\n| 7 | 1 |" } ] }, { "id": "36685", "image": "36685.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{8 - 17}{15 - 14}\n = \\frac{-9}{1}\n = -9\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{5 - 8}{16 - 15}\n = \\frac{-3}{1}\n = -3\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 14 | 17 |\n| 15 | 8 |\n| 16 | 5 |" } ] }, { "id": "36690", "image": "36690.png", "conversations": [ { "from": "human", "question": "Six friends went on a road trip and kept track of how long each of them spent driving. What fraction of the driving was done by Jacob? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many minutes Jacob spent driving.\n\n430\n\nFind how many minutes were spent driving in total.\n\n920 + 580 + 860 + 900 + 430 + 830 = 4,520\n\nDivide 430 by 4,520.\n\n\\frac{430}{4,520}\n\nReduce the fraction.\n\n\\frac{430}{4,520} → \\frac{43}{452}\n\n\\frac{43}{452} of minutes Jacob spent driving.", "answer": "43/452", "table": "**Road trip driving times**\n\n| Name | Minutes spent driving |\n| --- | --- |\n| Charlotte | 920 |\n| Tracy | 580 |\n| Gavin | 860 |\n| Polly | 900 |\n| Jacob | 430 |\n| Kate | 830 |" } ] }, { "id": "36695", "image": "36695.png", "conversations": [ { "from": "human", "question": "The employee at the department store counted the number of ties on each tie rack. How many racks have at least 36 ties?\n" }, { "from": "gpt", "solution": "Find the row with stem 3. Count all the leaves greater than or equal to 6.\n\nCount all the leaves in the rows with stems 4, 5, and 6.\n\nYou counted 12 leaves, which are blue in the stem-and-leaf plots above. 12 racks have at least 36 ties.", "answer": "12", "table": "**Ties per rack**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 0 |\n| 4 | 1, 5 |\n| 5 | 6, 9 |\n| 6 | 0, 0, 0, 4, 5, 6, 7, 8 |" } ] }, { "id": "36696", "image": "36696.png", "conversations": [ { "from": "human", "question": "The advertising agency counted the number of billboards in each city in the state. How many cities have at least 50 billboards?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 5, 6, 7, 8, and 9.\n\nYou counted 13 leaves, which are blue in the stem-and-leaf plot above. 13 cities have at least 50 billboards.", "answer": "13", "table": "**Billboards per city**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 2, 4, 8 |\n| 2 | 7 |\n| 3 | 0, 1, 2, 7, 7 |\n| 4 | |\n| 5 | 2, 7, 8 |\n| 6 | 1, 4, 4, 9 |\n| 7 | 6, 8, 9, 9 |\n| 8 | 1 |\n| 9 | 0 |" } ] }, { "id": "36700", "image": "36700.png", "conversations": [ { "from": "human", "question": "Quinn buys 1+3/5 pounds of wheat rolls. What is the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the wheat rolls. Multiply the price per pound by the number of pounds.\n$10 × 1\\frac{3}{5} = $10 × 1.6 = $16\nThe total cost is $16.", "answer": "16", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| spelt rolls | $13/pound |\n| English muffins | $15/pound |\n| hot dog buns | $9/pound |\n| wheat rolls | $10/pound |\n| tortillas | $20/pound |" } ] }, { "id": "36709", "image": "36709.png", "conversations": [ { "from": "human", "question": "A veterinarian weighed all the dogs that visited his office last month. How many dogs weighed exactly 88 pounds?\n" }, { "from": "gpt", "solution": "For the number 88, the stem is 8, and the leaf is 8. Find the row where the stem is 8. In that row, count all the leaves equal to 8.\n\nYou counted 0 leaves. 0 dogs weighed exactly 88 pounds.", "answer": "0", "table": "**Dogs' weights (lbs)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1 |\n| 2 | 5 |\n| 3 | |\n| 4 | 4, 6 |\n| 5 | |\n| 6 | |\n| 7 | 5 |\n| 8 | |\n| 9 | 0 |" } ] }, { "id": "36720", "image": "36720.png", "conversations": [ { "from": "human", "question": "Janelle purchased 2 pounds of pistachios and 4 pounds of peanuts. What was the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the pistachios. Multiply:\n\n$9.56 × 2 = $19.12\n\nFind the cost of the peanuts. Multiply:\n\n$5.89 × 4 = $23.56\n\nNow find the total cost by adding:\n\n$19.12 + $23.56 = $42.68\n\nThe total cost was $42.68.", "answer": "42.68", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| chestnuts | $11.92 per lb |\n| pistachios | $9.56 per lb |\n| Brazil nuts | $5.73 per lb |\n| peanuts | $5.89 per lb |" } ] }, { "id": "36728", "image": "36728.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $770, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $770, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $600 | 16,100 | 1,000 |\n| $770 | 12,800 | 5,200 |\n| $940 | 9,500 | 9,400 |\n| $1,110 | 6,200 | 13,600 |\n| $1,280 | 2,900 | 17,800 |" } ] }, { "id": "36732", "image": "36732.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{6 - 4}{19 - 18}\n = \\frac{2}{1}\n = 2\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{8 - 4}{20 - 18}\n = \\frac{4}{2}\n = 2\nThe two rates of change are the same.\nIf you checked the rate of change between rows 2 and 3, you would find that it is also 2.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 18 | 4 |\n| 19 | 6 |\n| 20 | 8 |" } ] }, { "id": "36733", "image": "36733.png", "conversations": [ { "from": "human", "question": "Denise, who rents properties for a living, measures all the offices in a building she is renting. What is the size of the largest office?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 7.\n\nNow find the highest leaf in the last row. The highest leaf is 2.\n\nThe size of the largest office has a stem of 7 and a leaf of 2. Write the stem first, then the leaf: 72.\n\nThe size of the largest office is 72 square meters.", "answer": "72", "table": "**Office sizes (square meters)**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 3, 7 |\n| 3 | 2 |\n| 4 | 1 |\n| 5 | |\n| 6 | 1 |\n| 7 | 2 |" } ] }, { "id": "36737", "image": "36737.png", "conversations": [ { "from": "human", "question": "A concession stand worker at the movie theater looked up how many bags of popcorn were sold in the past 4 days. On which day did the movie theater sell the most bags of popcorn?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 79.\n\nNow find the corresponding day. Saturday corresponds to 79.", "answer": "Saturday", "table": "**Bags of popcorn sold**\n\n| Day | Number of bags of popcorn |\n| --- | --- |\n| Thursday | 78 |\n| Friday | 73 |\n| Saturday | 79 |\n| Sunday | 72 |" } ] }, { "id": "36740", "image": "36740.png", "conversations": [ { "from": "human", "question": "How much money does Evelyn need to buy an orange marker, a purple colored pencil, and a silver pen?\n" }, { "from": "gpt", "solution": "Find the total cost of an orange marker, a purple colored pencil, and a silver pen.\n\n$0.04 + $0.02 + $0.08 = $0.14\n\nEvelyn needs $0.14.", "answer": "0.14", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| package of pencil lead | $0.01 |\n| purple colored pencil | $0.02 |\n| thin blue marker | $0.05 |\n| orange marker | $0.04 |\n| black pen | $0.05 |\n| silver pen | $0.08 |" } ] }, { "id": "36742", "image": "36742.png", "conversations": [ { "from": "human", "question": "Levi's family went on a road trip and counted the number of cars they saw each day. On which day did they see the most cars?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 164.\n\nNow find the corresponding day. Saturday corresponds to 164.", "answer": "Saturday", "table": "**Number of cars**\n\n| Day | Number of cars |\n| --- | --- |\n| Friday | 119 |\n| Saturday | 164 |\n| Sunday | 148 |\n| Monday | 146 |" } ] }, { "id": "36744", "image": "36744.png", "conversations": [ { "from": "human", "question": "How much money does Rodrigo need to buy a hedgehog and an iguana?\n" }, { "from": "gpt", "solution": "Add the price of a hedgehog and the price of an iguana:\n\n$133.00 + $115.00 = $248.00\n\nRodrigo needs $248.00.", "answer": "248", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pot-bellied pig | $348.00 |\n| hedgehog | $133.00 |\n| chinchilla | $171.00 |\n| iguana | $115.00 |\n| king snake | $136.00 |" } ] }, { "id": "36749", "image": "36749.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. How long does it take to get from Cliff View to Pebble Town?\n" }, { "from": "gpt", "solution": "Read the times in the first column for Cliff View and Pebble Town.\n\nFind the elapsed time between 8:00 A. M. and 3:45 P. M. The elapsed time is 7 hours and 45 minutes.\n\nNo matter which column of times you look at, the elapsed time is always 7 hours and 45 minutes.", "answer": "7 hours and 45 minutes", "table": "**Ferry schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 | Column 5 | Column 6 |\n| --- | --- | --- | --- | --- | --- |\n| Starfish City | 6:15 A.M. | 6:30 A.M. | 7:00 A.M. | 7:15 A.M. | 7:30 A.M. |\n| Cliff View | 8:00 A.M. | 8:15 A.M. | 8:45 A.M. | 9:00 A.M. | 9:15 A.M. |\n| Grassy Beach | 9:45 A.M. | 10:00 A.M. | 10:30 A.M. | 10:45 A.M. | 11:00 A.M. |\n| Crest View | 10:45 A.M. | 11:00 A.M. | 11:30 A.M. | 11:45 A.M. | 12:00 P.M. |\n| Foggy Port | 12:30 P.M. | 12:45 P.M. | 1:15 P.M. | 1:30 P.M. | 1:45 P.M. |\n| Green Harbor | 2:00 P.M. | 2:15 P.M. | 2:45 P.M. | 3:00 P.M. | 3:15 P.M. |\n| Pebble Town | 3:45 P.M. | 4:00 P.M. | 4:30 P.M. | 4:45 P.M. | 5:00 P.M. |\n| Sandy Shores | 5:00 P.M. | 5:15 P.M. | 5:45 P.M. | 6:00 P.M. | 6:15 P.M. |" } ] }, { "id": "36756", "image": "36756.png", "conversations": [ { "from": "human", "question": "An administrator at the Department of Motor Vehicles (DMV) tracked the average wait time from month to month. According to the table, what was the rate of change between August and September?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{25 minutes - 23 minutes}{1 month}\n = \\frac{2 minutes}{1 month}\n = 2 minutes per month\nThe rate of change between August and September was 2 minutes per month.", "answer": "2", "table": "**Average waiting time at the DMV**\n\n| Month | Waiting time (minutes) |\n| --- | --- |\n| July | 18 |\n| August | 23 |\n| September | 25 |\n| October | 22 |\n| November | 26 |" } ] }, { "id": "36762", "image": "36762.png", "conversations": [ { "from": "human", "question": "How much money does Elise need to buy an antique rosewood corner cabinet and an antique cedar cabinet?\n" }, { "from": "gpt", "solution": "Add the price of an antique rosewood corner cabinet and the price of an antique cedar cabinet:\n\n$4,251.00 + $2,665.00 = $6,916.00\n\nElise needs $6,916.00.", "answer": "6,916", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| antique cedar cabinet | $2,665.00 |\n| antique pine chest of drawers | $3,768.00 |\n| antique walnut buffet | $9,031.00 |\n| antique oak writing desk | $1,088.00 |\n| antique rosewood corner cabinet | $4,251.00 |\n| antique fir wood bed | $4,681.00 |" } ] }, { "id": "36764", "image": "36764.png", "conversations": [ { "from": "human", "question": "Emmett counted the number of desks in each classroom at his school. What is the largest number of desks?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 4.\n\nNow find the highest leaf in the last row. The highest leaf is 7.\n\nThe largest number of desks has a stem of 4 and a leaf of 7. Write the stem first, then the leaf: 47.\n\nThe largest number of desks is 47 desks.", "answer": "47", "table": "**Desks per classroom**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 2, 3, 8, 9 |\n| 2 | 0, 1, 1, 6, 7, 8, 9 |\n| 3 | 1, 2, 6 |\n| 4 | 0, 0, 0, 1, 2, 6, 7 |" } ] }, { "id": "36766", "image": "36766.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $180, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $180, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $180 | 11,600 | 22,500 |\n| $260 | 11,100 | 22,800 |\n| $340 | 10,600 | 23,100 |\n| $420 | 10,100 | 23,400 |\n| $500 | 9,600 | 23,700 |" } ] }, { "id": "36770", "image": "36770.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{12 - 17}{2 - 1}\n = \\frac{-5}{1}\n = -5\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{7 - 12}{3 - 2}\n = \\frac{-5}{1}\n = -5\nThe two rates of change are the same.\n5.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 1 | 17 |\n| 2 | 12 |\n| 3 | 7 |" } ] }, { "id": "36777", "image": "36777.png", "conversations": [ { "from": "human", "question": "A bakery recorded how many cupcakes it sold in the past 4 days. On which day did the bakery sell the most cupcakes?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 881.\n\nNow find the corresponding day. Tuesday corresponds to 881.", "answer": "Tuesday", "table": "**Cupcakes sold**\n\n| Day | Number of cupcakes |\n| --- | --- |\n| Monday | 815 |\n| Tuesday | 881 |\n| Wednesday | 858 |\n| Thursday | 851 |" } ] }, { "id": "36779", "image": "36779.png", "conversations": [ { "from": "human", "question": "Each branch has 5 caterpillars. How many caterpillars are on 5 branches?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 25 caterpillars on 5 branches.", "answer": "25", "table": "| Number of branches | Number of caterpillars |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | 20 |\n| 5 | ? |" } ] }, { "id": "36780", "image": "36780.png", "conversations": [ { "from": "human", "question": "Lena joined a book club to spend more quality time with her cousin. At the first meeting, club members recorded how many hours a week they typically read and whether they preferred e-readers or paperback books. What is the probability that a randomly selected club member reads about 3 hours per week and prefers e-readers? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the club member reads about 3 hours per week\" and B be the event \"the club member prefers e-readers\".\nTo find the probability that a club member reads about 3 hours per week and prefers e-readers, first identify the sample space and the event.\nThe outcomes in the sample space are the different club members. Each club member is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the club member reads about 3 hours per week and prefers e-readers\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the club member reads about 3 hours per week and prefers e-readers\", so look at the table to see how many club members read about 3 hours per week and prefer e-readers.\nThe number of club members who read about 3 hours per week and prefer e-readers is 6.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of club members.\n3 + 6 + 6 + 3 = 18\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{6}{18}\n = \\frac{1}{3}\nThe probability that a club member reads about 3 hours per week and prefers e-readers is \\frac{1}{3}.", "answer": "1/3", "table": "| | E-readers | Paperback books |\n| --- | --- | --- |\n| About 1 hour per week | 3 | 6 |\n| About 3 hours per week | 6 | 3 |" } ] }, { "id": "36781", "image": "36781.png", "conversations": [ { "from": "human", "question": "How much money does Shelby need to buy a white polo shirt and a pink sweater?\n" }, { "from": "gpt", "solution": "Add the price of a white polo shirt and the price of a pink sweater:\n\n$5 + $5 = $10\n\nShelby needs $10.", "answer": "10", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| orange T-shirt | $6 |\n| purple T-shirt | $2 |\n| blue tank top | $1 |\n| long-sleeved shirt | $7 |\n| pink sweater | $5 |\n| white polo shirt | $5 |" } ] }, { "id": "36786", "image": "36786.png", "conversations": [ { "from": "human", "question": "Helen has $25,467. How much money will Helen have left if she buys a hydrofoil and a forklift?\n" }, { "from": "gpt", "solution": "Find the total cost of a hydrofoil and a forklift.\n\n$8,643 + $9,582 = $18,225\n\nNow subtract the total cost from the starting amount.\n\n$25,467 - $18,225 = $7,242\n\nHelen will have $7,242 left.", "answer": "7,242", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| forklift | $9,582 |\n| bulldozer | $6,014 |\n| race car | $9,888 |\n| hydrofoil | $8,643 |" } ] }, { "id": "36787", "image": "36787.png", "conversations": [ { "from": "human", "question": "Some teachers compared how many years they have been teaching. Who has been teaching the longest?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 13.\n\nNow find the corresponding teacher. Mr. Perez corresponds to 13.", "answer": "Mr. Perez", "table": "**Years of teaching**\n\n| Teacher | Number of years |\n| --- | --- |\n| Ms. Chan | 11 |\n| Mr. Perez | 13 |\n| Miss Lim | 10 |\n| Ms. Yamamoto | 12 |" } ] }, { "id": "36790", "image": "36790.png", "conversations": [ { "from": "human", "question": "Mrs. Blair told students how many rounds to expect in the spelling bee based on previous years. According to the table, what was the rate of change between 2018 and 2019?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{8 rounds - 13 rounds}{2019 - 2018}\n = \\frac{8 rounds - 13 rounds}{1 year}\n = \\frac{-5 rounds}{1 year}\n = -5 rounds per year\nThe rate of change between 2018 and 2019 was - 5 rounds per year.", "answer": "-5", "table": "**Rounds in the spelling bee**\n\n| Year | Rounds |\n| --- | --- |\n| 2015 | 7 |\n| 2016 | 14 |\n| 2017 | 7 |\n| 2018 | 13 |\n| 2019 | 8 |" } ] }, { "id": "36795", "image": "36795.png", "conversations": [ { "from": "human", "question": "How much money does Laura need to buy 8 designer watches and 8 designer ball gowns?\n" }, { "from": "gpt", "solution": "Find the cost of 8 designer watches.\n\n$5,254.00 × 8 = $42,032.00\n\nFind the cost of 8 designer ball gowns.\n\n$1,830.00 × 8 = $14,640.00\n\nNow find the total cost.\n\n$42,032.00 + $14,640.00 = $56,672.00\n\nLaura needs $56,672.00.", "answer": "56,672", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| designer coat | $6,487.00 |\n| designer watch | $5,254.00 |\n| designer ball gown | $1,830.00 |\n| designer handbag | $2,288.00 |\n| pair of designer boots | $1,906.00 |\n| pair of designer shoes | $8,293.00 |" } ] }, { "id": "36796", "image": "36796.png", "conversations": [ { "from": "human", "question": "Jacob went to the store. He bought 4 kilograms of Chinese lettuce, 2 kilograms of summer crisp lettuce, and 4 kilograms of romaine lettuce. How much did he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the Chinese lettuce. Multiply:\n\n$2 × 4 = $8\n\nFind the cost of the summer crisp lettuce. Multiply:\n\n$1 × 2 = $2\n\nFind the cost of the romaine lettuce. Multiply:\n\n$2 × 4 = $8\n\nNow find the total cost by adding:\n\n$8 + $2 + $8 = $18\n\nHe spent $18.", "answer": "18", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| summer crisp lettuce | $1/kg |\n| romaine lettuce | $2/kg |\n| Chinese lettuce | $2/kg |\n| Swiss chard | $1/kg |" } ] }, { "id": "36798", "image": "36798.png", "conversations": [ { "from": "human", "question": "A farmer recalled how many watermelons were harvested in the past 5 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n57, 57, 50, 59, 72\n\nFirst, arrange the numbers from least to greatest:\n\n50, 57, 57, 59, 72\n\nNow find the number in the middle.\n\n50, 57, 57, 59, 72\n\nThe number in the middle is 57.\n\nThe median is 57.", "answer": "57", "table": "**Watermelons harvested**\n\n| Day | Number of watermelons |\n| --- | --- |\n| Monday | 57 |\n| Tuesday | 57 |\n| Wednesday | 50 |\n| Thursday | 59 |\n| Friday | 72 |" } ] }, { "id": "36806", "image": "36806.png", "conversations": [ { "from": "human", "question": "Elena has $677. Does she have enough to buy a night's stay at Oceanspray Inn and a night's stay at Summit Hotel and Spa?\n" }, { "from": "gpt", "solution": "Add the price of a night's stay at Oceanspray Inn and the price of a night's stay at Summit Hotel and Spa:\n\n$483 + $168 = $651\n\n$651 is less than $677. Elena does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| night's stay at White Oak Motel | $225 |\n| night's stay at Mahogany Lodge | $209 |\n| night's stay at Oceanspray Inn | $483 |\n| night's stay at Summit Hotel and Spa | $168 |\n| night's stay at Lakeview Hotel | $851 |\n| night's stay at Hotel Marie | $470 |" } ] }, { "id": "36807", "image": "36807.png", "conversations": [ { "from": "human", "question": "Myra kept track of the number of games her soccer team won each year. According to the table, what was the rate of change between 2011 and 2012?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{30 games - 22 games}{2012 - 2011}\n = \\frac{30 games - 22 games}{1 year}\n = \\frac{8 games}{1 year}\n = 8 games per year\nThe rate of change between 2011 and 2012 was 8 games per year.", "answer": "8", "table": "**Games won by Myra's soccer team**\n\n| Year | Games won |\n| --- | --- |\n| 2009 | 21 |\n| 2010 | 25 |\n| 2011 | 22 |\n| 2012 | 30 |\n| 2013 | 22 |" } ] }, { "id": "36812", "image": "36812.png", "conversations": [ { "from": "human", "question": "Fernando went to the store. He bought 0.7 pounds of pumpernickel bread crumbs. How much did he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the pumpernickel bread crumbs. Multiply the price per pound by the number of pounds.\n$4 × 0.7 = $2.80\nHe spent $2.80.", "answer": "2.80", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| whole grain bread crumbs | $6 per pound |\n| rye bread crumbs | $3 per pound |\n| French bread crumbs | $2 per pound |\n| sourdough bread crumbs | $6 per pound |\n| white bread crumbs | $4 per pound |\n| pumpernickel bread crumbs | $4 per pound |" } ] }, { "id": "36817", "image": "36817.png", "conversations": [ { "from": "human", "question": "Gavin graphed the temperature at noon for 6 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n7, 6, 9, 8, 9, 4\n\nFirst, find the greatest number. The greatest number is 9.\n\nNext, find the least number. The least number is 4.\n\nSubtract the least number from the greatest number:\n\n9 − 4 = 5\n\nThe range is 5.", "answer": "5", "table": "**Temperature at noon**\n\n| Day | Temperature (°C) |\n| --- | --- |\n| Tuesday | 7 |\n| Wednesday | 6 |\n| Thursday | 9 |\n| Friday | 8 |\n| Saturday | 9 |\n| Sunday | 4 |" } ] }, { "id": "36832", "image": "36832.png", "conversations": [ { "from": "human", "question": "Students at Dayton Middle School wrote and submitted poems for a district-wide writing contest. How many students wrote fewer than 3 poems?\n" }, { "from": "gpt", "solution": "Find the rows for 1 and 2 poems. Add the frequencies for these rows.\n\nAdd:\n\n3 + 10 = 13\n\n13 students wrote fewer than 3 poems.", "answer": "13", "table": "**Writing poems**\n\n| Poems written | Frequency |\n| --- | --- |\n| 1 | 3 |\n| 2 | 10 |\n| 3 | 19 |\n| 4 | 17 |\n| 5 | 8 |" } ] }, { "id": "36835", "image": "36835.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. At which stop does the train arrive at 10.45 A.M.?\n" }, { "from": "gpt", "solution": "Find 10:45 A. M. on the schedule. The train arrives at the university at 10:45 A. M.", "answer": "university", "table": "**Light rail train schedule**\n\n| Location | Time |\n| --- | --- |\n| university | 10:45 A.M. |\n| science museum | 11:00 A.M. |\n| baseball stadium | 11:05 A.M. |\n| art museum | 11:30 A.M. |\n| soccer field | 11:45 A.M. |\n| park | 12:10 P.M. |\n| swimming pool | 12:15 P.M. |\n| high school | 12:20 P.M. |\n| town square | 12:50 P.M. |\n| elementary school | 1:00 P.M. |" } ] }, { "id": "36836", "image": "36836.png", "conversations": [ { "from": "human", "question": "Savannah works at a coffee shop on weekends. Every now and then, a customer will order a hot tea and ask Savannah to surprise them with the flavor. The teas are categorized by flavor and caffeine level. What is the probability that a randomly selected tea is caffeine-free and mint? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the tea is caffeine-free\" and B be the event \"the tea is mint\".\nTo find the probability that a tea is caffeine-free and mint, first identify the sample space and the event.\nThe outcomes in the sample space are the different teas. Each tea is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the tea is caffeine-free and mint\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the tea is caffeine-free and mint\", so look at the table to see how many teas are caffeine-free and mint.\nThe number of teas that are caffeine-free and mint is 3.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of teas.\n3 + 2 + 5 + 5 = 15\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{3}{15}\n = \\frac{1}{5}\nThe probability that a tea is caffeine-free and mint is \\frac{1}{5}.", "answer": "1/5", "table": "| | Mint | Fruity |\n| --- | --- | --- |\n| Caffeine-free | 3 | 5 |\n| Caffeinated | 2 | 5 |" } ] }, { "id": "36837", "image": "36837.png", "conversations": [ { "from": "human", "question": "Some friends went bowling and kept track of their scores. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n75, 71, 67, 78, 73\n\nFirst, arrange the numbers from least to greatest:\n\n67, 71, 73, 75, 78\n\nNow find the number in the middle.\n\n67, 71, 73, 75, 78\n\nThe number in the middle is 73.\n\nThe median is 73.", "answer": "73", "table": "**Bowling scores**\n\n| Name | Score |\n| --- | --- |\n| Greta | 75 |\n| Nate | 71 |\n| Cara | 67 |\n| Bridgette | 78 |\n| Scarlett | 73 |" } ] }, { "id": "36840", "image": "36840.png", "conversations": [ { "from": "human", "question": "Each shelf has 2 turtleneck sweaters. How many turtleneck sweaters are on 3 shelves?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 6 turtleneck sweaters on 3 shelves.", "answer": "6", "table": "| Number of shelves | Number of turtleneck sweaters |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | ? |" } ] }, { "id": "36841", "image": "36841.png", "conversations": [ { "from": "human", "question": "How much money does Charlie need to buy 9 cat toys?\n" }, { "from": "gpt", "solution": "Find the total cost of 9 cat toys by multiplying 9 times the price of a cat toy.\n\n$1.96 × 9 = $17.64\n\nCharlie needs $17.64.", "answer": "17.64", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| cat toy | $1.96 |\n| fish bowl | $5.95 |\n| box of dog biscuits | $2.25 |\n| bag of dog food | $7.81 |\n| dog toy | $1.11 |\n| bag of birdseed | $2.95 |" } ] }, { "id": "36843", "image": "36843.png", "conversations": [ { "from": "human", "question": "A transportation analyst compared various bridges' tolls. How much higher is the toll for a carpool on the Hatem bridge than on the George Washington bridge?\n" }, { "from": "gpt", "solution": "Find the Carpool column. Find the numbers in this column for Hatem and George Washington.\n\nHatem: $5.00\nGeorge Washington: $2.00\n\nNow subtract:\n\n$5.00 − $2.00 = $3.00\n\nThe toll for a carpool is $3 more on the Hatem bridge than on the George Washington bridge.", "answer": "3", "table": "**Bridge tolls**\n\n| Bridge | Car | Carpool |\n| --- | --- | --- |\n| George Washington | $8 | $2 |\n| Hatem | $5 | $5 |\n| Fort Madison | $1 | $1 |\n| Tacoma Narrows | $3 | $3 |" } ] }, { "id": "36851", "image": "36851.png", "conversations": [ { "from": "human", "question": "Tucker recalled how many goals he had made in soccer practice each day. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n8, 1, 8, 8, 1\n\nFirst, arrange the numbers from least to greatest:\n\n1, 1, 8, 8, 8\n\nNow count how many times each number appears.\n\n1 appears 2 times.\n8 appears 3 times.\n\nThe number that appears most often is 8.\n\nThe mode is 8.", "answer": "8", "table": "**Goals made**\n\n| Day | Number of goals |\n| --- | --- |\n| Monday | 8 |\n| Tuesday | 1 |\n| Wednesday | 8 |\n| Thursday | 8 |\n| Friday | 1 |" } ] }, { "id": "36855", "image": "36855.png", "conversations": [ { "from": "human", "question": "Dustin's campground is close to two hiking trails with scenic destinations. One trail ends at an underground lake in the bottom of a small cave. The other trail ends at a mountain peak. The elevation of each destination is shown on the campground map. Which trail's destination is farther from sea level?\n" }, { "from": "gpt", "solution": "The underground lake's elevation is negative, so it is below sea level. The mountain peak's elevation is positive, so it is above sea level.\nTo find the destination farther from sea level, use absolute value. Absolute value tells you how far each destination is from sea level.\nUnderground lake: |-350| = 350\nMountain peak: |325| = 325\nThe underground lake is 350 feet below sea level, and the mountain peak is only 325 feet above sea level. The underground lake is farther from sea level.", "answer": "underground lake", "table": "| Destination | Elevation (ft.) |\n| --- | --- |\n| Underground lake | -350 |\n| Mountain peak | 325 |" } ] }, { "id": "36862", "image": "36862.png", "conversations": [ { "from": "human", "question": "How much money does Sandra need to buy steamed broccoli and pasta with white sauce?\n" }, { "from": "gpt", "solution": "Add the price of steamed broccoli and the price of pasta with white sauce:\n\n$4 + $5 = $9\n\nSandra needs $9.", "answer": "9", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pasta with white sauce | $5 |\n| grilled eggplant | $8 |\n| pasta with tomato sauce | $9 |\n| green salad | $3 |\n| steamed broccoli | $4 |" } ] }, { "id": "36871", "image": "36871.png", "conversations": [ { "from": "human", "question": "Some pizza restaurants compared their pizza sales. Which restaurant sold the fewest pizza slices?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 71.\n\nNow find the corresponding restaurant. Pizzeria Italiano corresponds to 71.", "answer": "Pizzeria Italiano", "table": "**Pizza slices sold**\n\n| Restaurant | Number of slices sold |\n| --- | --- |\n| The Real Chicago | 76 |\n| Deep Dish by Dan | 78 |\n| New York Slice | 79 |\n| Pizzeria Italiano | 71 |" } ] }, { "id": "36883", "image": "36883.png", "conversations": [ { "from": "human", "question": "Diane's Candies has been studying how much chocolate people have been eating in different countries. How much chocolate was consumed per capita in Germany in 2005?\n" }, { "from": "gpt", "solution": "First, find the row for Germany. Then find the number in the 2005 column.\n\nThis number is 11. In 2005, people in Germany consumed 11 kilograms of chocolate per capita.", "answer": "11", "table": "**Chocolate consumption per capita (kg)**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 2002 | 2005 |\n| Poland | 3 | 4 |\n| Germany | 10 | 11 |\n| Denmark | 9 | 8 |\n| Australia | 4 | 5 |" } ] }, { "id": "36885", "image": "36885.png", "conversations": [ { "from": "human", "question": "Some students compared how many clubs they belong to. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 9, 10, 6, 10, 10, 6\n\nFirst, arrange the numbers from least to greatest:\n\n6, 6, 9, 9, 10, 10, 10\n\nNow count how many times each number appears.\n\n6 appears 2 times.\n9 appears 2 times.\n10 appears 3 times.\n\nThe number that appears most often is 10.\n\nThe mode is 10.", "answer": "10", "table": "**Clubs**\n\n| Name | Number of clubs |\n| --- | --- |\n| Brandon | 9 |\n| Janice | 9 |\n| Daniel | 10 |\n| Rose | 6 |\n| Akira | 10 |\n| Nina | 10 |\n| Isabella | 6 |" } ] }, { "id": "36889", "image": "36889.png", "conversations": [ { "from": "human", "question": "Some players on a co-ed basketball team compared the total number of points they scored over the course of a year. What fraction of the points were scored by Michael? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many points Michael scored.\n\n180\n\nFind how many points the players scored in total.\n\n200 + 70 + 180 + 150 + 200 + 90 = 890\n\nDivide 180 by 890.\n\n\\frac{180}{890}\n\nReduce the fraction.\n\n\\frac{180}{890} → \\frac{18}{89}\n\n\\frac{18}{89} of points Michael scored.", "answer": "18/89", "table": "**Points scored in basketball**\n\n| Player | Points scored |\n| --- | --- |\n| Patty | 200 |\n| Heather | 70 |\n| Michael | 180 |\n| Pete | 150 |\n| Quinn | 200 |\n| Other | 90 |" } ] }, { "id": "36891", "image": "36891.png", "conversations": [ { "from": "human", "question": "A sports fan decided to examine the pattern of medals won by certain countries at several Olympic games. How many more medals did Brazil win in 1996 than in 2000?\n" }, { "from": "gpt", "solution": "Find the Brazil row. Find the numbers in this row for 1996 and 2000.\n\n1996: 15\n2000: 12\n\nNow subtract:\n\n15 − 12 = 3\n\nBrazil won 3 more medals in 1996 than in 2000.", "answer": "3", "table": "**Olympic medals**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 1996 | 2000 |\n| Brazil | 15 | 12 |\n| Sweden | 8 | 12 |\n| Finland | 4 | 4 |" } ] }, { "id": "36892", "image": "36892.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{5 - 2}{2 - 1}\n = \\frac{3}{1}\n = 3\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{12 - 5}{3 - 2}\n = \\frac{7}{1}\n = 7\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 1 | 2 |\n| 2 | 5 |\n| 3 | 12 |" } ] }, { "id": "36897", "image": "36897.png", "conversations": [ { "from": "human", "question": "A bus driver paid attention to how many passengers her bus had each day. On which day did the bus have the most passengers?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 132.\n\nNow find the corresponding day. Monday corresponds to 132.", "answer": "Monday", "table": "**People on the bus**\n\n| Day | Number of people |\n| --- | --- |\n| Monday | 132 |\n| Tuesday | 112 |\n| Wednesday | 123 |\n| Thursday | 131 |" } ] }, { "id": "36900", "image": "36900.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $1,245, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $1,245, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $795 | 24,100 | 2,500 |\n| $945 | 23,400 | 7,000 |\n| $1,095 | 22,700 | 11,500 |\n| $1,245 | 22,000 | 16,000 |\n| $1,395 | 21,300 | 20,500 |" } ] }, { "id": "36902", "image": "36902.png", "conversations": [ { "from": "human", "question": "An office manager counts the number of letters sent by each of her company's employees each week. How many employees mailed more than 3 letters?\n" }, { "from": "gpt", "solution": "Find the row for 4 letters and read the frequency. The frequency is 16.\n\n16 employees mailed more than 3 letters.", "answer": "16", "table": "**Mailing letters last week**\n\n| Letters mailed | Frequency |\n| --- | --- |\n| 0 | 5 |\n| 1 | 18 |\n| 2 | 10 |\n| 3 | 17 |\n| 4 | 16 |" } ] }, { "id": "36909", "image": "36909.png", "conversations": [ { "from": "human", "question": "A chef kept track of the number of bananas people ate last week in her cafeteria. How many people ate fewer than 2 bananas last week?\n" }, { "from": "gpt", "solution": "Find the rows for 0 and 1 banana last week. Add the frequencies for these rows.\n\nAdd:\n\n1 + 5 = 6\n\n6 people ate fewer than 2 bananas last week.", "answer": "6", "table": "**Eating bananas last week**\n\n| Bananas eaten | Frequency |\n| --- | --- |\n| 0 | 1 |\n| 1 | 5 |\n| 2 | 15 |\n| 3 | 9 |" } ] }, { "id": "36910", "image": "36910.png", "conversations": [ { "from": "human", "question": "Owen jotted down how many baskets he made during basketball practice each day. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n4, 4, 6, 7, 10, 4\n\nFirst, find the greatest number. The greatest number is 10.\n\nNext, find the least number. The least number is 4.\n\nSubtract the least number from the greatest number:\n\n10 − 4 = 6\n\nThe range is 6.", "answer": "6", "table": "**Baskets made**\n\n| Day | Number of baskets |\n| --- | --- |\n| Monday | 4 |\n| Tuesday | 4 |\n| Wednesday | 6 |\n| Thursday | 7 |\n| Friday | 10 |\n| Saturday | 4 |" } ] }, { "id": "36911", "image": "36911.png", "conversations": [ { "from": "human", "question": "The coach of the Academic Bowl recorded the scores in a trivia game to determine who would represent the school at the regional competition. How many people scored at least 9?\n" }, { "from": "gpt", "solution": "Find the rows for 9 and 10. Add the frequencies for these rows.\n\nAdd:\n\n1 + 6 = 7\n\n7 people scored at least 9.", "answer": "7", "table": "**Scores in a trivia game**\n\n| Score | Frequency |\n| --- | --- |\n| 5 | 9 |\n| 6 | 8 |\n| 7 | 13 |\n| 8 | 0 |\n| 9 | 1 |\n| 10 | 6 |" } ] }, { "id": "36912", "image": "36912.png", "conversations": [ { "from": "human", "question": "Tommy has $1.07. Does he have enough to buy a sand castle magnet and a plastic crab?\n" }, { "from": "gpt", "solution": "Add the price of a sand castle magnet and the price of a plastic crab:\n\n$0.87 + $0.15 = $1.02\n\n$1.02 is less than $1.07. Tommy does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| shell necklace | $0.51 |\n| souvenir cup | $0.72 |\n| plastic crab | $0.15 |\n| sand castle magnet | $0.87 |" } ] }, { "id": "36915", "image": "36915.png", "conversations": [ { "from": "human", "question": "Some farmers compared how many sheep were in their flocks. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n8, 8, 6, 10, 8\n\nFirst, count how many numbers are in the group.\n\nThere are 5 numbers.\n\nNow add all the numbers together:\n\n8 + 8 + 6 + 10 + 8 = 40\n\nNow divide the sum by the number of numbers:\n\n40 ÷ 5 = 8\n\nThe mean is 8.", "answer": "8", "table": "**Sheep owned**\n\n| Farmer | Number of sheep |\n| --- | --- |\n| Farmer Anne | 8 |\n| Farmer Dan | 8 |\n| Farmer Bob | 6 |\n| Farmer Sally | 10 |\n| Farmer Betty | 8 |" } ] }, { "id": "36919", "image": "36919.png", "conversations": [ { "from": "human", "question": "A pottery factory kept track of the number of broken plates per shipment last week. How many shipments had exactly 60 broken plates?\n" }, { "from": "gpt", "solution": "For the number 60, the stem is 6, and the leaf is 0. Find the row where the stem is 6. In that row, count all the leaves equal to 0.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 shipments had exactly 60 broken plates.", "answer": "2", "table": "**Broken plates per shipment**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 3, 4, 5, 7, 8 |\n| 4 | 0, 4, 8 |\n| 5 | 1, 2, 4 |\n| 6 | 0, 0, 1, 4, 5 |\n| 7 | 3, 7, 9 |\n| 8 | 0, 2, 6 |\n| 9 | 0 |" } ] }, { "id": "36921", "image": "36921.png", "conversations": [ { "from": "human", "question": "An architecture student measured the heights of all the buildings downtown. How many buildings are less than 100 meters tall?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1, 2, 3, 4, 5, 6, 7, 8, and 9.\n\nYou counted 25 leaves, which are blue in the stem-and-leaf plot above. 25 buildings are less than 100 meters tall.", "answer": "25", "table": "**Building heights (meters)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 3, 7, 9 |\n| 2 | 0, 5 |\n| 3 | 0, 0, 4, 7, 8 |\n| 4 | 1 |\n| 5 | 1, 4, 7 |\n| 6 | 0, 1, 6 |\n| 7 | 1, 2, 3, 6, 6 |\n| 8 | 5, 9 |\n| 9 | 0 |" } ] }, { "id": "36922", "image": "36922.png", "conversations": [ { "from": "human", "question": "In science class, Angie is measuring the temperature of different chemical mixtures. The temperatures of two mixtures are shown in the table. Which mixture's temperature is closest to zero?\n" }, { "from": "gpt", "solution": "A positive number means the temperature is above zero. A negative number means the temperature is below zero.\nTo find the temperature closest to zero, use absolute value. The absolute value of a temperature tells you how far it is from zero.\nBromine mixture: |-4| = 4\nAcetone mixture: |5| = 5\nThe temperature of the bromine mixture is closest to zero. It is only 4 degrees below zero.", "answer": "bromine mixture", "table": "| Mixture | Temperature (°C) |\n| --- | --- |\n| Bromine mixture | -4 |\n| Acetone mixture | 5 |" } ] }, { "id": "36923", "image": "36923.png", "conversations": [ { "from": "human", "question": "Wildgrove Flooring tracked the number of broken tiles in each shipment it received last year. What is the smallest number of broken tiles?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 2.\n\nNow find the lowest leaf in the first row. The lowest leaf is 2.\n\nThe smallest number of broken tiles has a stem of 2 and a leaf of 2. Write the stem first, then the leaf: 22.\n\nThe smallest number of broken tiles is 22 broken tiles.", "answer": "22", "table": "**Broken tiles per shipment**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 2, 6 |\n| 3 | 1, 5, 9 |\n| 4 | 6 |\n| 5 | 2, 3, 6, 6 |\n| 6 | 2, 2 |\n| 7 | 2, 3, 7 |\n| 8 | 0, 3, 8 |" } ] }, { "id": "36928", "image": "36928.png", "conversations": [ { "from": "human", "question": "Each cage has 5 ferrets. How many ferrets are in 4 cages?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 20 ferrets in 4 cages.", "answer": "20", "table": "| Number of cages | Number of ferrets |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | ? |" } ] }, { "id": "36930", "image": "36930.png", "conversations": [ { "from": "human", "question": "Emmet has $2.00. Does he have enough to buy a notebook and a blue ballpoint pen?\n" }, { "from": "gpt", "solution": "Add the price of a notebook and the price of a blue ballpoint pen:\n\n$0.87 + $0.87 = $1.74\n\n$1.74 is less than $2.00. Emmet does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| bottle of glue | $0.95 |\n| blue ballpoint pen | $0.87 |\n| notebook | $0.87 |\n| box of staples | $0.83 |" } ] }, { "id": "36933", "image": "36933.png", "conversations": [ { "from": "human", "question": "During health class, the students reported the number of times they ate fast food last month. How many students ate fast food at least 2 times?\n" }, { "from": "gpt", "solution": "Find the rows for 2 and 3 times. Add the frequencies for these rows.\n\nAdd:\n\n20 + 12 = 32\n\n32 students ate fast food at least 2 times.", "answer": "32", "table": "**Eating fast food last month**\n\n| Times eaten | Frequency |\n| --- | --- |\n| 0 | 4 |\n| 1 | 8 |\n| 2 | 20 |\n| 3 | 12 |" } ] }, { "id": "36948", "image": "36948.png", "conversations": [ { "from": "human", "question": "Ariana bought 1 pound of fool's gold. How much did she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the fool's gold. Multiply the price per pound by the number of pounds.\n\n$19.82 × 1 = $19.82\n\nShe spent $19.82.", "answer": "19.82", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| amethyst | $14.37/lb |\n| fool's gold | $19.82/lb |\n| calcite | $15.05/lb |\n| tiger's eye | $12.94/lb |\n| topaz | $18.57/lb |" } ] }, { "id": "36949", "image": "36949.png", "conversations": [ { "from": "human", "question": "How much money does Dylan need to buy 8 microphones and 3 DVDs?\n" }, { "from": "gpt", "solution": "Find the cost of 8 microphones.\n\n$14.00 × 8 = $112.00\n\nFind the cost of 3 DVDs.\n\n$15.00 × 3 = $45.00\n\nNow find the total cost.\n\n$112.00 + $45.00 = $157.00\n\nDylan needs $157.00.", "answer": "157", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| DVD | $15.00 |\n| microphone | $14.00 |\n| toaster | $45.00 |\n| camera | $68.00 |" } ] }, { "id": "36953", "image": "36953.png", "conversations": [ { "from": "human", "question": "Mrs. Norton kept track of her students' scores on last year's final exam. How many students scored exactly 17 points?\n" }, { "from": "gpt", "solution": "For the number 17, the stem is 1, and the leaf is 7. Find the row where the stem is 1. In that row, count all the leaves equal to 7.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 students scored exactly17 points.", "answer": "2", "table": "**Final exam scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 4, 7, 7, 8 |\n| 2 | 4, 5, 7 |\n| 3 | 4, 5 |\n| 4 | |\n| 5 | 3, 6, 9 |\n| 6 | 5, 7 |\n| 7 | 0, 3, 3 |\n| 8 | 6, 8, 9 |" } ] }, { "id": "36954", "image": "36954.png", "conversations": [ { "from": "human", "question": "The school district compared how many math teachers each high school has. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n4, 5, 3, 9, 5\n\nFirst, find the greatest number. The greatest number is 9.\n\nNext, find the least number. The least number is 3.\n\nSubtract the least number from the greatest number:\n\n9 − 3 = 6\n\nThe range is 6.", "answer": "6", "table": "**Math teachers**\n\n| High school | Number of math teachers |\n| --- | --- |\n| Central High | 4 |\n| Lincoln High | 5 |\n| River High | 3 |\n| Thompson High | 9 |\n| Moore High | 5 |" } ] }, { "id": "36956", "image": "36956.png", "conversations": [ { "from": "human", "question": "A pencil company revealed how many pencils it sold in the past 4 months. How many pencils in total did the company sell in November and January?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nNovember: 6,421\nJanuary: 1,549\n\nNow add: 6,421 + 1,549 = 7,970.\n\nThe company sold 7,970 pencils in November and January.", "answer": "7,970", "table": "**Pencils sold**\n\n| Month | Number of pencils |\n| --- | --- |\n| October | 1,433 |\n| November | 6,421 |\n| December | 2,166 |\n| January | 1,549 |" } ] }, { "id": "36957", "image": "36957.png", "conversations": [ { "from": "human", "question": "The houses in Abby's town get their water from a local reservoir. Abby and a group of engineers monitor the water level for safety and health reasons. The change in water level over two months is shown in the table. During which month did the water level change more?\n" }, { "from": "gpt", "solution": "A positive change means the water level went up. A negative change means the water level went down.\nTo find the month the water level changed more, use absolute value. Absolute value tells you how much the water level changed each month.\nApril: |-6| = 6\nMay: |4| = 4\nThe water level went down 6 inches in April, and it only went up 4 inches in May. The water level changed more in April.", "answer": "April", "table": "| Month | Change in water level (in.) |\n| --- | --- |\n| April | -6 |\n| May | 4 |" } ] }, { "id": "36962", "image": "36962.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{9 - 5}{7 - 6}\n = \\frac{4}{1}\n = 4\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{15 - 9}{8 - 7}\n = \\frac{6}{1}\n = 6\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 6 | 5 |\n| 7 | 9 |\n| 8 | 15 |" } ] }, { "id": "36965", "image": "36965.png", "conversations": [ { "from": "human", "question": "Sasha counted the number of desks in each classroom at her school. How many classrooms have fewer than 32 desks?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1 and 2.\n\nIn the row with stem 3, count all the leaves less than 2.\n\nYou counted 16 leaves, which are blue in the stem-and-leaf plots above. 16 classrooms have fewer than 32 desks.", "answer": "16", "table": "**Desks per classroom**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 0, 5, 6, 7, 7, 8, 8, 9 |\n| 2 | 4, 5, 7, 8, 9 |\n| 3 | 0, 1, 2, 3, 3, 6 |\n| 4 | 0, 7 |" } ] }, { "id": "36968", "image": "36968.png", "conversations": [ { "from": "human", "question": "A philanthropic organization compared the amounts of money that its members donated to certain causes. How much more money did Jane donate to clean water than Antonio?\n" }, { "from": "gpt", "solution": "Find the Clean water column. Find the numbers in this column for Jane and Antonio.\n\nJane: $13.00\nAntonio: $7.00\n\nNow subtract:\n\n$13.00 − $7.00 = $6.00\n\nJane donated $6 more to clean water than Antonio.", "answer": "6", "table": "**Donations**\n\n| Person | Job training | Clean water |\n| --- | --- | --- |\n| Olivia | $7 | $3 |\n| Antonio | $2 | $7 |\n| Lacey | $20 | $1 |\n| Jane | $13 | $13 |" } ] }, { "id": "36969", "image": "36969.png", "conversations": [ { "from": "human", "question": "Jayla went on a camping trip and logged the number of miles she hiked each day. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n8, 7, 8, 9, 8\n\nFirst, count how many numbers are in the group.\n\nThere are 5 numbers.\n\nNow add all the numbers together:\n\n8 + 7 + 8 + 9 + 8 = 40\n\nNow divide the sum by the number of numbers:\n\n40 ÷ 5 = 8\n\nThe mean is 8.", "answer": "8", "table": "**Miles hiked**\n\n| Day | Number of miles |\n| --- | --- |\n| Friday | 8 |\n| Saturday | 7 |\n| Sunday | 8 |\n| Monday | 9 |\n| Tuesday | 8 |" } ] }, { "id": "36971", "image": "36971.png", "conversations": [ { "from": "human", "question": "Every year Princeton has a citywide relay and reports the winning times. According to the table, what was the rate of change between 2008 and 2009?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{32 minutes - 45 minutes}{2009 - 2008}\n = \\frac{32 minutes - 45 minutes}{1 year}\n = \\frac{-13 minutes}{1 year}\n = -13 minutes per year\nThe rate of change between 2008 and 2009 was - 13 minutes per year.", "answer": "-13", "table": "**Winning relay times**\n\n| Year | Winning time (minutes) |\n| --- | --- |\n| 2008 | 45 |\n| 2009 | 32 |\n| 2010 | 31 |\n| 2011 | 34 |\n| 2012 | 39 |" } ] }, { "id": "36972", "image": "36972.png", "conversations": [ { "from": "human", "question": "The architecture student counted the number of bricks in each building in his neighborhood. How many buildings have fewer than 82 bricks?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1, 2, 3, 4, 5, 6, and 7.\n\nIn the row with stem 8, count all the leaves less than 2.\n\nYou counted 6 leaves, which are blue in the stem-and-leaf plots above. 6 buildings have fewer than 82 bricks.", "answer": "6", "table": "**Bricks per building**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 3 |\n| 2 | 4 |\n| 3 | 4 |\n| 4 | 1 |\n| 5 | 7 |\n| 6 | |\n| 7 | 1 |\n| 8 | 5, 9, 9 |\n| 9 | 0 |" } ] }, { "id": "36976", "image": "36976.png", "conversations": [ { "from": "human", "question": "To get credit for meeting her school's community service requirement, Lola kept a volunteering log. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n4, 8, 6, 2, 10\n\nFirst, arrange the numbers from least to greatest:\n\n2, 4, 6, 8, 10\n\nNow find the number in the middle.\n\n2, 4, 6, 8, 10\n\nThe number in the middle is 6.\n\nThe median is 6.", "answer": "6", "table": "**Hours spent volunteering**\n\n| Day | Hours |\n| --- | --- |\n| Thursday | 4 |\n| Friday | 8 |\n| Saturday | 6 |\n| Sunday | 2 |\n| Monday | 10 |" } ] }, { "id": "36977", "image": "36977.png", "conversations": [ { "from": "human", "question": "The aquarium's records showed how many tickets were sold in the past 3 days. How many tickets did the aquarium sell in all on Thursday and Friday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nThursday: 554\nFriday: 100\n\nNow add: 554 + 100 = 654.\n\nThe aquarium sold 654 tickets in all on Thursday and Friday.", "answer": "654", "table": "**Tickets sold**\n\n| Day | Number of tickets |\n| --- | --- |\n| Thursday | 554 |\n| Friday | 100 |\n| Saturday | 150 |" } ] }, { "id": "36985", "image": "36985.png", "conversations": [ { "from": "human", "question": "How much would it cost to buy 2 kilograms of honey roasted peanuts?\n" }, { "from": "gpt", "solution": "Find the cost of the honey roasted peanuts. Multiply the price per kilogram by the number of kilograms.\n\n$0.45 × 2 = $0.90\n\nIt would cost $0.90.", "answer": "0.90", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| honey roasted peanuts | $0.45 per kg |\n| salted peanuts | $1.46 per kg |\n| blanched peanuts | $1.45 per kg |\n| garlic peanuts | $1.44 per kg |" } ] }, { "id": "36987", "image": "36987.png", "conversations": [ { "from": "human", "question": "Caleb tracked how many laps he ran in the past 5 days. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n73, 79, 73, 79, 79\n\nFirst, arrange the numbers from least to greatest:\n\n73, 73, 79, 79, 79\n\nNow count how many times each number appears.\n\n73 appears 2 times.\n79 appears 3 times.\n\nThe number that appears most often is 79.\n\nThe mode is 79.", "answer": "79", "table": "**Laps ran**\n\n| Day | Number of laps |\n| --- | --- |\n| Thursday | 73 |\n| Friday | 79 |\n| Saturday | 73 |\n| Sunday | 79 |\n| Monday | 79 |" } ] }, { "id": "36988", "image": "36988.png", "conversations": [ { "from": "human", "question": "The Burlington Art Museum recorded how many finger puppets the children made at last Sunday's art workshop. How many children are there in all?\n" }, { "from": "gpt", "solution": "Add the frequencies for each row.\n\nAdd:\n\n16 + 13 + 17 + 1 = 47\n\nThere are 47 children in all.", "answer": "47", "table": "**Making finger puppets**\n\n| Finger puppets made | Frequency |\n| --- | --- |\n| 0 | 16 |\n| 1 | 13 |\n| 2 | 17 |\n| 3 | 1 |" } ] }, { "id": "36989", "image": "36989.png", "conversations": [ { "from": "human", "question": "A furniture store kept a record of how many couches it sold each day. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n5, 5, 6, 6, 10, 10, 5\n\nFirst, arrange the numbers from least to greatest:\n\n5, 5, 5, 6, 6, 10, 10\n\nNow count how many times each number appears.\n\n5 appears 3 times.\n6 appears 2 times.\n10 appears 2 times.\n\nThe number that appears most often is 5.\n\nThe mode is 5.", "answer": "5", "table": "**Couches sold**\n\n| Day | Number of couches |\n| --- | --- |\n| Thursday | 5 |\n| Friday | 5 |\n| Saturday | 6 |\n| Sunday | 6 |\n| Monday | 10 |\n| Tuesday | 10 |\n| Wednesday | 5 |" } ] }, { "id": "36992", "image": "36992.png", "conversations": [ { "from": "human", "question": "Lisa buys 1 pound of safety pins. What is the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the safety pins. Multiply the price per pound by the number of pounds.\n\n$3 × 1 = $3\n\nThe total cost is $3.", "answer": "3", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| picture hooks | $2 per pound |\n| teeth hooks | $3 per pound |\n| pushpins | $2 per pound |\n| t-pins | $3 per pound |\n| safety pins | $3 per pound |" } ] }, { "id": "36994", "image": "36994.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Zach got on the bus at the science museum at 11.15 A.M. What time will he get to the skyscraper?\n" }, { "from": "gpt", "solution": "Find 11:15 A. M. in the row for the science museum. That column shows the schedule for the bus that Zach is on.\n\nLook down the column until you find the row for the skyscraper.\n\nZach will get to the skyscraper at 12:15 P. M.", "answer": "12:15 P.M.", "table": "**Tour bus schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 | Column 5 |\n| --- | --- | --- | --- | --- |\n| shopping district | 10:15 A.M. | 10:30 A.M. | 10:45 A.M. | 11:00 A.M. |\n| the aquarium | 10:30 A.M. | 10:45 A.M. | 11:00 A.M. | 11:15 A.M. |\n| science museum | 11:15 A.M. | 11:30 A.M. | 11:45 A.M. | 12:00 P.M. |\n| downtown | 11:45 A.M. | 12:00 P.M. | 12:15 P.M. | 12:30 P.M. |\n| skyscraper | 12:15 P.M. | 12:30 P.M. | 12:45 P.M. | 1:00 P.M. |\n| historic house | 1:15 P.M. | 1:30 P.M. | 1:45 P.M. | 2:00 P.M. |" } ] }, { "id": "37000", "image": "37000.png", "conversations": [ { "from": "human", "question": "Each bracelet has 5 charms. How many charms are on 6 bracelets?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 30 charms on 6 bracelets.", "answer": "30", "table": "| Number of bracelets | Number of charms |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | 20 |\n| 5 | 25 |\n| 6 | ? |" } ] }, { "id": "37004", "image": "37004.png", "conversations": [ { "from": "human", "question": "If Brooke buys 1+1/2 pounds of size 2 screws, how much will she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the size 2 screws. Multiply the price per pound by the number of pounds.\n$5 × 1\\frac{1}{2} = $5 × 1.5 = $7.50\nShe will spend $7.50.", "answer": "7.50", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| size 4 screws | $9 per pound |\n| size 5 screws | $5 per pound |\n| size 3 screws | $5 per pound |\n| size 1 screws | $7 per pound |\n| size 2 screws | $5 per pound |" } ] }, { "id": "37014", "image": "37014.png", "conversations": [ { "from": "human", "question": "A vendor who sold bread at farmers' markets counted the number of leftover loaves at the end of each day. According to the table, what was the rate of change between Thursday and Friday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{40 loaves - 19 loaves}{1 day}\n = \\frac{21 loaves}{1 day}\n = 21 loaves per day\nThe rate of change between Thursday and Friday was 21 loaves per day.", "answer": "21", "table": "**Loaves of leftover bread**\n\n| Day | Leftover loaves |\n| --- | --- |\n| Tuesday | 26 |\n| Wednesday | 33 |\n| Thursday | 19 |\n| Friday | 40 |\n| Saturday | 46 |" } ] }, { "id": "37020", "image": "37020.png", "conversations": [ { "from": "human", "question": "This is Duncan's complete financial record for July. On July 5, how much money did Duncan make?\n" }, { "from": "gpt", "solution": "Look at the 7/5 row. The amount received was $15.00. So, Duncan made $15.00 on July 5.\n", "answer": "15", "table": "| Date | Description | Received | Expenses | Available Funds |\n| --- | --- | --- | --- | --- |\n| | Balance: end of June | | | $450.70 |\n| 7/5 | cleaning the Patricks' pool | $15.00 | | $465.70 |\n| 7/17 | bottle of water | | $1.50 | $464.20 |\n| 7/29 | swim trunks | | $16.80 | $447.40 |" } ] }, { "id": "37022", "image": "37022.png", "conversations": [ { "from": "human", "question": "Lakewood Flooring tracked the number of broken tiles in each shipment it received last year. How many shipments had less than 40 broken tiles?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 0, 1, 2, and 3.\n\nYou counted 9 leaves, which are blue in the stem-and-leaf plot above. 9 shipments had less than 40 broken tiles.", "answer": "9", "table": "**Broken tiles per shipment**\n\n| Stem | Leaf |\n| --- | --- |\n| 0 | 8 |\n| 1 | 0, 5 |\n| 2 | 5 |\n| 3 | 0, 1, 2, 4, 7 |" } ] }, { "id": "37023", "image": "37023.png", "conversations": [ { "from": "human", "question": "In trying to calculate how much money could be saved by packing lunch, Nick recorded the amount he spent on lunch each day. According to the table, what was the rate of change between Friday and Saturday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{$6 - $6}{1 day}\n = \\frac{$0}{1 day}\n = $0 perday\nThe rate of change between Friday and Saturday was $0 perday.", "answer": "0", "table": "**Amount Nick spent on lunch**\n\n| Day | Amount spent |\n| --- | --- |\n| Tuesday | $2 |\n| Wednesday | $10 |\n| Thursday | $8 |\n| Friday | $6 |\n| Saturday | $6 |" } ] }, { "id": "37027", "image": "37027.png", "conversations": [ { "from": "human", "question": "A baker wrote down how many pies she made in the past 6 days. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n2, 5, 2, 5, 5, 4\n\nFirst, arrange the numbers from least to greatest:\n\n2, 2, 4, 5, 5, 5\n\nNow count how many times each number appears.\n\n2 appears 2 times.\n4 appears 1 time.\n5 appears 3 times.\n\nThe number that appears most often is 5.\n\nThe mode is 5.", "answer": "5", "table": "**Pies baked**\n\n| Day | Number of pies |\n| --- | --- |\n| Monday | 2 |\n| Tuesday | 5 |\n| Wednesday | 2 |\n| Thursday | 5 |\n| Friday | 5 |\n| Saturday | 4 |" } ] }, { "id": "37028", "image": "37028.png", "conversations": [ { "from": "human", "question": "Irma's classmates revealed how many science articles they read. Who read the fewest science articles?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 635.\n\nNow find the corresponding name. Rose corresponds to 635.", "answer": "Rose", "table": "**Science articles read**\n\n| Name | Number of science articles |\n| --- | --- |\n| Irma | 659 |\n| Rose | 635 |\n| Carmen | 638 |\n| Hugo | 665 |" } ] }, { "id": "37035", "image": "37035.png", "conversations": [ { "from": "human", "question": "Each branch has 2 leaves. How many leaves are on 6 branches?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 12 leaves on 6 branches.", "answer": "12", "table": "| Number of branches | Number of leaves |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | 6 |\n| 4 | 8 |\n| 5 | 10 |\n| 6 | ? |" } ] }, { "id": "37039", "image": "37039.png", "conversations": [ { "from": "human", "question": "How much more does a popsicle stand cost than a popcorn cart?\n" }, { "from": "gpt", "solution": "Subtract the price of a popcorn cart from the price of a popsicle stand.\n\n$8,919 - $8,685 = $234\n\nA popsicle stand costs $234 more than a popcorn cart.", "answer": "234", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| popcorn cart | $8,685 |\n| popsicle stand | $8,919 |\n| pretzel stand | $8,939 |\n| funnel cake stand | $5,299 |\n| ice cream truck | $8,319 |\n| peanut cart | $8,340 |" } ] }, { "id": "37044", "image": "37044.png", "conversations": [ { "from": "human", "question": "Paula has $7.00. Does she have enough to buy a book about fish and a book about South America?\n" }, { "from": "gpt", "solution": "Add the price of a book about fish and the price of a book about South America:\n\n$5.00 + $1.00 = $6.00\n\n$6.00 is less than $7.00. Paula does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| book about fish | $5.00 |\n| book about South America | $1.00 |\n| book about Antarctica | $5.00 |\n| book about basketball | $5.00 |\n| book about trains | $8.00 |" } ] }, { "id": "37048", "image": "37048.png", "conversations": [ { "from": "human", "question": "The city library monitored the number of books checked out each day. On which day were the fewest books checked out?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 91.\n\nNow find the corresponding day. Monday corresponds to 91.", "answer": "Monday", "table": "**Books checked out**\n\n| Day | Number of books |\n| --- | --- |\n| Sunday | 99 |\n| Monday | 91 |\n| Tuesday | 97 |\n| Wednesday | 92 |" } ] }, { "id": "37057", "image": "37057.png", "conversations": [ { "from": "human", "question": "Some friends played a trivia game and recorded their scores. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n4, 4, 5, 3, 4\n\nFirst, count how many numbers are in the group.\n\nThere are 5 numbers.\n\nNow add all the numbers together:\n\n4 + 4 + 5 + 3 + 4 = 20\n\nNow divide the sum by the number of numbers:\n\n20 ÷ 5 = 4\n\nThe mean is 4.", "answer": "4", "table": "**Trivia game scores**\n\n| Name | Score |\n| --- | --- |\n| Kaylee | 4 |\n| Heather | 4 |\n| Ernesto | 5 |\n| Zack | 3 |\n| Dominic | 4 |" } ] }, { "id": "37059", "image": "37059.png", "conversations": [ { "from": "human", "question": "As part of a math lab, Rosanne tracked the number of times her classmates drew a number between 2 and 8. Which number was drawn the fewest times?\n" }, { "from": "gpt", "solution": "Look at the frequency column. Find the least frequency. The least frequency is 0, which is in the row for 7. 7 was drawn the fewest times.", "answer": "7", "table": "**Drawing a card between 2 and 8**\n\n| Number drawn | Frequency |\n| --- | --- |\n| 2 | 16 |\n| 3 | 20 |\n| 4 | 19 |\n| 5 | 5 |\n| 6 | 7 |\n| 7 | 0 |\n| 8 | 11 |" } ] }, { "id": "37061", "image": "37061.png", "conversations": [ { "from": "human", "question": "Some students compared how many clubs they belong to. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n10, 5, 5, 10, 5\n\nFirst, arrange the numbers from least to greatest:\n\n5, 5, 5, 10, 10\n\nNow count how many times each number appears.\n\n5 appears 3 times.\n10 appears 2 times.\n\nThe number that appears most often is 5.\n\nThe mode is 5.", "answer": "5", "table": "**Clubs**\n\n| Name | Number of clubs |\n| --- | --- |\n| Craig | 10 |\n| Harry | 5 |\n| Jayla | 5 |\n| Noah | 10 |\n| Tyrone | 5 |" } ] }, { "id": "37070", "image": "37070.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $205, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $205, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $205 | 17,500 | 1,000 |\n| $365 | 15,500 | 5,800 |\n| $525 | 13,500 | 10,600 |\n| $685 | 11,500 | 15,400 |\n| $845 | 9,500 | 20,200 |" } ] }, { "id": "37076", "image": "37076.png", "conversations": [ { "from": "human", "question": "The county released data about how many schools there are in each town. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n1, 5, 5, 6, 3\n\nFirst, find the greatest number. The greatest number is 6.\n\nNext, find the least number. The least number is 1.\n\nSubtract the least number from the greatest number:\n\n6 − 1 = 5\n\nThe range is 5.", "answer": "5", "table": "**Schools in each town**\n\n| Town | Number of schools |\n| --- | --- |\n| Ashland | 1 |\n| Mayfield | 5 |\n| Riverside | 5 |\n| Greenwood | 6 |\n| Salem | 3 |" } ] }, { "id": "37077", "image": "37077.png", "conversations": [ { "from": "human", "question": "The Dover Soup Company recorded the number of rotten tomatoes in each barrel it received. How many barrels had exactly 54 rotten tomatoes?\n" }, { "from": "gpt", "solution": "For the number 54, the stem is 5, and the leaf is 4. Find the row where the stem is 5. In that row, count all the leaves equal to 4.\n\nYou counted 1 leaf, which is blue in the stem-and-leaf plot above. 1 barrel had exactly 54 rotten tomatoes.", "answer": "1", "table": "**Rotten tomatoes per barrel**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 5, 8 |\n| 2 | 0, 4 |\n| 3 | |\n| 4 | 5, 5 |\n| 5 | 0, 4, 6, 7 |\n| 6 | 5 |\n| 7 | 5 |\n| 8 | |\n| 9 | 0 |" } ] }, { "id": "37085", "image": "37085.png", "conversations": [ { "from": "human", "question": "Sparrowtown High School's student council recruited teachers and students to serve on each of its committees. Are there fewer people on the party committee or the cafeteria committee?\n" }, { "from": "gpt", "solution": "Add the numbers in the Party row. Then, add the numbers in the Cafeteria row.\n\nparty: 18 + 16 = 34\ncafeteria: 13 + 7 = 20\n\n20 is less than 34. Fewer people are on the cafeteria committee.", "answer": "cafeteria", "table": "**Student council committees**\n\n| Committee | Students | Teachers |\n| --- | --- | --- |\n| Cafeteria | 13 | 7 |\n| Party | 18 | 16 |\n| Sports | 13 | 8 |\n| Graduation | 9 | 15 |" } ] }, { "id": "37086", "image": "37086.png", "conversations": [ { "from": "human", "question": "The advertising agency counted the number of billboards in each city in the state. What is the largest number of billboards?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 5.\n\nNow find the highest leaf in the last row. The highest leaf is 6.\n\nThe largest number of billboards has a stem of 5 and a leaf of 6. Write the stem first, then the leaf: 56.\n\nThe largest number of billboards is 56 billboards.", "answer": "56", "table": "**Billboards per city**\n\n| Stem | Leaf |\n| --- | --- |\n| 0 | 2, 4, 6 |\n| 1 | 4, 6, 7, 9, 9 |\n| 2 | 4 |\n| 3 | 3 |\n| 4 | 3, 5, 6 |\n| 5 | 5, 6 |" } ] }, { "id": "37092", "image": "37092.png", "conversations": [ { "from": "human", "question": "How much more does a pink flamingo pen cost than a sand castle magnet?\n" }, { "from": "gpt", "solution": "Subtract the price of a sand castle magnet from the price of a pink flamingo pen.\n\n$0.70 - $0.52 = $0.18\n\nA pink flamingo pen costs $0.18 more than a sand castle magnet.", "answer": "0.18", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pink flamingo pen | $0.70 |\n| beach postcard | $0.19 |\n| souvenir thimble | $0.79 |\n| sand castle magnet | $0.52 |\n| shell necklace | $0.75 |\n| picture of a shark | $0.39 |" } ] }, { "id": "37096", "image": "37096.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $10, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $10, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $10 | 13,900 | 8,000 |\n| $100 | 11,700 | 11,200 |\n| $190 | 9,500 | 14,400 |\n| $280 | 7,300 | 17,600 |\n| $370 | 5,100 | 20,800 |" } ] }, { "id": "37098", "image": "37098.png", "conversations": [ { "from": "human", "question": "How much more does a jet ski ride cost than a limousine ride?\n" }, { "from": "gpt", "solution": "Subtract the price of a limousine ride from the price of a jet ski ride.\n\n$838 - $364 = $474\n\nA jet ski ride costs $474 more than a limousine ride.", "answer": "474", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| jet ski ride | $838 |\n| race car ride | $185 |\n| limousine ride | $364 |\n| airplane ride | $385 |\n| hot air balloon ride | $195 |" } ] }, { "id": "37106", "image": "37106.png", "conversations": [ { "from": "human", "question": "Ezra has $12,462.00. Does he have enough to buy a microscope and a precision balance?\n" }, { "from": "gpt", "solution": "Add the price of a microscope and the price of a precision balance:\n\n$8,404.00 + $3,565.00 = $11,969.00\n\n$11,969.00 is less than $12,462.00. Ezra does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| autoclave | $3,865.00 |\n| centrifuge | $2,336.00 |\n| microscope | $8,404.00 |\n| precision balance | $3,565.00 |\n| telescope | $9,514.00 |" } ] }, { "id": "37109", "image": "37109.png", "conversations": [ { "from": "human", "question": "A charity recorded how many donations it received each month. In which month did the charity receive the most donations?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 778.\n\nNow find the corresponding month. October corresponds to 778.", "answer": "October", "table": "**Charity donations**\n\n| Month | Number of donations |\n| --- | --- |\n| July | 767 |\n| August | 765 |\n| September | 756 |\n| October | 778 |" } ] }, { "id": "37111", "image": "37111.png", "conversations": [ { "from": "human", "question": "Julian kept a written log of how many miles he biked during the past 5 days. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 3, 9, 3, 3\n\nFirst, arrange the numbers from least to greatest:\n\n3, 3, 3, 9, 9\n\nNow count how many times each number appears.\n\n3 appears 3 times.\n9 appears 2 times.\n\nThe number that appears most often is 3.\n\nThe mode is 3.", "answer": "3", "table": "**Miles biked**\n\n| Day | Number of miles |\n| --- | --- |\n| Saturday | 9 |\n| Sunday | 3 |\n| Monday | 9 |\n| Tuesday | 3 |\n| Wednesday | 3 |" } ] }, { "id": "37113", "image": "37113.png", "conversations": [ { "from": "human", "question": "Derek bought 1.3 pounds of pepper. How much did he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the pepper. Multiply the price per pound by the number of pounds.\n$8 × 1.3 = $10.40\nHe spent $10.40.", "answer": "10.40", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pepper | $8 per lb |\n| cinnamon | $7 per lb |\n| turmeric | $6 per lb |\n| cumin | $8 per lb |\n| paprika | $4 per lb |" } ] }, { "id": "37115", "image": "37115.png", "conversations": [ { "from": "human", "question": "Compare pattern A to pattern B. Which statement is true? \n" }, { "from": "gpt", "solution": "Look at the corresponding terms in the table. For example, the first pair of corresponding terms is 6 and 22.\nRead the first statement.\nEach term in pattern B can be found by subtracting the corresponding term in pattern A from 28.\nThis statement is not true for all of the corresponding terms. For example, 30 is not equal to 8 subtracted from 28.\nRead the second statement.\nEach term in pattern B can be found by multiplying the corresponding term in pattern A by 4 and then subtracting 2.\nThis statement is true for all of the corresponding terms.\n6 × 4 = 24, and then 24 - 2 = 22\n8 × 4 = 32, and then 32 - 2 = 30\n10 × 4 = 40, and then 40 - 2 = 38\n12 × 4 = 48, and then 48 - 2 = 46", "answer": "Each term in pattern B can be found by multiplying the corresponding term in pattern A by 4 and then subtracting 2.", "table": "| Column 1 | Column 2 | Column 3 | Column 4 | Column 5 | Column 6 |\n| --- | --- | --- | --- | --- | --- |\n| Pattern A | add | 2 6 | 8 | 10 | 12 |\n| Pattern B | add | 8 22 | 30 | 38 | 46 |" } ] }, { "id": "37117", "image": "37117.png", "conversations": [ { "from": "human", "question": "Use the data to answer the question below. Is the following statement about our solar system true or false? Jupiter's volume is more than 1,000 times that of Earth.\n" }, { "from": "gpt", "solution": "To determine if this statement is true, calculate the value of 1,000 times the volume of Earth.\n\n1.08 x10^12 · 1000\n = 1.08 x10^12 · 10^3\n = 1.08 x10^15 km^3\n\nThen compare the result to the volume of Jupiter. The volume of Jupiter is 1.43 x10^15 km^3, which is more than 1.08 x10^15 km^3. So, Jupiter's volume is more than 1,000 times that of Earth.", "answer": "true", "table": "**Planet Volume (km3) Primary composition**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Mercury | 6.08 x | 1010 rock |\n| Venus | 9.28 x | 1011 rock |\n| Earth | 1.08 x | 1012 rock |\n| Mars | 1.63 x | 1011 rock |\n| Jupiter | 1.43 x | 1015 gas |\n| Saturn | 8.27 x | 1014 gas |\n| Uranus | 6.83 x | 1013 ice |\n| Neptune | 6.25 x | 1013 ice |" } ] }, { "id": "37127", "image": "37127.png", "conversations": [ { "from": "human", "question": "Omar has $8,278.00. Does he have enough to buy a ticket for a Caribbean cruise and a ticket for a Mediterranean cruise?\n" }, { "from": "gpt", "solution": "Add the price of a ticket for a Caribbean cruise and the price of a ticket for a Mediterranean cruise:\n\n$4,121.00 + $4,054.00 = $8,175.00\n\n$8,175.00 is less than $8,278.00. Omar does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| ticket for a Hawaiian cruise | $2,629.00 |\n| ticket for a Caribbean cruise | $4,121.00 |\n| ticket for a Mediterranean cruise | $4,054.00 |\n| ticket for an Atlantic cruise | $6,536.00 |" } ] }, { "id": "37129", "image": "37129.png", "conversations": [ { "from": "human", "question": "Jason has two dogs, Sprinkles and Champ. He is concerned because Sprinkles keeps eating Champ's food. Jason asks their vet how much each dog's weight has changed since their last visit. Which dog's weight has changed the most?\n" }, { "from": "gpt", "solution": "To find which dog's weight changed the most, use absolute value. Absolute value tells you how much each dog's weight has changed.\nSprinkles: |5| = 5\nChamp: |-6| = 6\nChamp's weight has changed the most. He has lost 6 ounces.", "answer": "Champ", "table": "| Dog | Weight change (oz.) |\n| --- | --- |\n| Sprinkles | 5 |\n| Champ | -6 |" } ] }, { "id": "37133", "image": "37133.png", "conversations": [ { "from": "human", "question": "A law firm in Kensington kept track of how many hours were billed by each partner last year. What fraction of the hours were billed by Bob? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many hours were billed by Bob.\n\n930\n\nFind how many hours were billed in total.\n\n760 + 910 + 1,000 + 930 + 820 + 750 = 5,170\n\nDivide 930 by 5,170.\n\n\\frac{930}{5,170}\n\nReduce the fraction.\n\n\\frac{930}{5,170} → \\frac{93}{517}\n\n\\frac{93}{517} of hours were billed by Bob.", "answer": "93/517", "table": "**Law firm hours billed**\n\n| Partner | Hours billed |\n| --- | --- |\n| Kendall | 760 |\n| Melissa | 910 |\n| Allie | 1,000 |\n| Bob | 930 |\n| Gordon | 820 |\n| Gina | 750 |" } ] }, { "id": "37140", "image": "37140.png", "conversations": [ { "from": "human", "question": "Each crate has 10 boxes of blueberries. How many boxes of blueberries are in 6 crates?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 60 boxes of blueberries in 6 crates.", "answer": "60", "table": "| Number of crates | Number of boxes of blueberries |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | 40 |\n| 5 | 50 |\n| 6 | ? |" } ] }, { "id": "37143", "image": "37143.png", "conversations": [ { "from": "human", "question": "A consultant working with a candy factory requested information on the amount of taffy made each day. How many pieces of taffy did the factory make total on Thursday and Saturday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nThursday: 5,456\nSaturday: 2,085\n\nNow add: 5,456 + 2,085 = 7,541.\n\nThe factory made 7,541 pieces of taffy on Thursday and Saturday.", "answer": "7,541", "table": "**Taffy made**\n\n| Day | Number of pieces of taffy |\n| --- | --- |\n| Thursday | 5,456 |\n| Friday | 3,091 |\n| Saturday | 2,085 |" } ] }, { "id": "37147", "image": "37147.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which class begins at 8.15 A.M.?\n" }, { "from": "gpt", "solution": "Find 8:15 A. M. on the schedule. Badminton class begins at 8:15 A. M.", "answer": "Badminton class", "table": "**Gym teacher's schedule**\n\n| Class | Begin | End |\n| --- | --- | --- |\n| Weightlifting | 7:15 A.M. | 8:10 A.M. |\n| Badminton | 8:15 A.M. | 9:40 A.M. |\n| Social Dance | 9:50 A.M. | 11:30 A.M. |\n| Tennis | 11:45 A.M. | 12:40 P.M. |\n| Floor Hockey | 12:55 P.M. | 1:40 P.M. |\n| Soccer | 1:45 P.M. | 2:45 P.M. |\n| Swimming | 3:00 P.M. | 3:55 P.M. |\n| Softball | 4:00 P.M. | 4:35 P.M. |" } ] }, { "id": "37150", "image": "37150.png", "conversations": [ { "from": "human", "question": "Every afternoon, Kyle enjoys a cup of hot tea in one of his many teacups. Once, Kyle counted all the teacups in his collection, noting their colors and size. What is the probability that a randomly selected cup is medium and yellow? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the cup is medium\" and B be the event \"the cup is yellow\".\nTo find the probability that a cup is medium and yellow, first identify the sample space and the event.\nThe outcomes in the sample space are the different cups. Each cup is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the cup is medium and yellow\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the cup is medium and yellow\", so look at the table to see how many cups are medium and yellow.\nThe number of cups that are medium and yellow is 4.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of cups.\n2 + 3 + 2 + 4 = 11\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{4}{11}\nThe probability that a cup is medium and yellow is \\frac{4}{11}.", "answer": "4/11", "table": "| | Green | Yellow |\n| --- | --- | --- |\n| Small | 2 | 2 |\n| Medium | 3 | 4 |" } ] }, { "id": "37152", "image": "37152.png", "conversations": [ { "from": "human", "question": "A food magazine published a listing of local restaurant ratings. How many restaurants were rated fewer than 26 points?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 0 and 1.\n\nIn the row with stem 2, count all the leaves less than 6.\n\nYou counted 7 leaves, which are blue in the stem-and-leaf plots above. 7 restaurants were rated fewer than 26 points.", "answer": "7", "table": "**Restaurant ratings**\n\n| Stem | Leaf |\n| --- | --- |\n| 0 | 6, 8 |\n| 1 | 1, 3 |\n| 2 | 2, 2, 5, 6, 6, 7, 7, 8, 9 |\n| 3 | 1, 3, 4 |\n| 4 | 0, 3 |" } ] }, { "id": "37154", "image": "37154.png", "conversations": [ { "from": "human", "question": "How much money does Aaliyah need to buy 4 French horns?\n" }, { "from": "gpt", "solution": "Find the total cost of 4 French horns by multiplying 4 times the price of a French horn.\n\n$1,422.00 × 4 = $5,688.00\n\nAaliyah needs $5,688.00.", "answer": "5,688", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| flute | $2,425.00 |\n| clarinet | $2,116.00 |\n| guitar | $5,430.00 |\n| trumpet | $1,525.00 |\n| French horn | $1,422.00 |" } ] }, { "id": "37156", "image": "37156.png", "conversations": [ { "from": "human", "question": "Daniel counted the number of desks in each classroom at his school. What is the smallest number of desks?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 1.\n\nNow find the lowest leaf in the first row. The lowest leaf is 0.\n\nThe smallest number of desks has a stem of 1 and a leaf of 0. Write the stem first, then the leaf: 10.\n\nThe smallest number of desks is 10 desks.", "answer": "10", "table": "**Desks per classroom**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 0, 1, 1, 5, 7, 9 |\n| 2 | 1, 3, 4, 5, 7, 7, 9 |\n| 3 | 3, 4, 6, 7, 7, 7, 7 |\n| 4 | 0, 2, 6, 8 |" } ] }, { "id": "37158", "image": "37158.png", "conversations": [ { "from": "human", "question": "Ian kept track of how many laps he swam during the past 6 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n90, 99, 87, 83, 87, 98\n\nFirst, find the greatest number. The greatest number is 99.\n\nNext, find the least number. The least number is 83.\n\nSubtract the least number from the greatest number:\n\n99 − 83 = 16\n\nThe range is 16.", "answer": "16", "table": "**Laps swum**\n\n| Day | Number of laps |\n| --- | --- |\n| Wednesday | 90 |\n| Thursday | 99 |\n| Friday | 87 |\n| Saturday | 83 |\n| Sunday | 87 |\n| Monday | 98 |" } ] }, { "id": "37159", "image": "37159.png", "conversations": [ { "from": "human", "question": "Nellie has $17,725.00. How much money will Nellie have left if she buys a tuba and a cello?\n" }, { "from": "gpt", "solution": "Find the total cost of a tuba and a cello.\n\n$5,241.00 + $4,003.00 = $9,244.00\n\nNow subtract the total cost from the starting amount.\n\n$17,725.00 - $9,244.00 = $8,481.00\n\nNellie will have $8,481.00 left.", "answer": "8,481", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| guitar | $7,726.00 |\n| tuba | $5,241.00 |\n| flute | $2,712.00 |\n| cornet | $1,804.00 |\n| oboe | $2,391.00 |\n| cello | $4,003.00 |" } ] }, { "id": "37161", "image": "37161.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Darnel is at Winchester. If he wants to arrive at Westford at 10.30 A.M., what time should he get on the train?\n" }, { "from": "gpt", "solution": "Look at the row for Westford. Find the train that arrives at Westford at 10:30 A. M.\n\nLook up the column until you find the row for Winchester.\n\nDarnel should get on the train at 8:30 A. M.", "answer": "8:30 A.M.", "table": "**Train schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 | Column 5 |\n| --- | --- | --- | --- | --- |\n| Winchester | 2:45 A.M. | 5:00 A.M. | 8:30 A.M. | 10:15 A.M. |\n| Vindale | 4:15 A.M. | 6:30 A.M. | 10:00 A.M. | 11:45 A.M. |\n| Westford | 4:45 A.M. | 7:00 A.M. | 10:30 A.M. | 12:15 P.M. |\n| Lowell | 5:30 A.M. | 7:45 A.M. | 11:15 A.M. | 1:00 P.M. |\n| Milford | 6:45 A.M. | 9:00 A.M. | 12:30 P.M. | 2:15 P.M. |" } ] }, { "id": "37163", "image": "37163.png", "conversations": [ { "from": "human", "question": "Fans of the Lakeside baseball team compared the number of games won by their team each year. According to the table, what was the rate of change between 2016 and 2017?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{49 games - 47 games}{2017 - 2016}\n = \\frac{49 games - 47 games}{1 year}\n = \\frac{2 games}{1 year}\n = 2 games per year\nThe rate of change between 2016 and 2017 was 2 games per year.", "answer": "2", "table": "**Games won by the Lakeside baseball team**\n\n| Year | Games won |\n| --- | --- |\n| 2013 | 46 |\n| 2014 | 50 |\n| 2015 | 40 |\n| 2016 | 47 |\n| 2017 | 49 |" } ] }, { "id": "37164", "image": "37164.png", "conversations": [ { "from": "human", "question": "A Girl Scout troop recorded how many boxes of cookies they sold each day for a week. According to the table, what was the rate of change between Sunday and Monday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{19 boxes - 13 boxes}{1 day}\n = \\frac{6 boxes}{1 day}\n = 6 boxes per day\nThe rate of change between Sunday and Monday was 6 boxes per day.", "answer": "6", "table": "**Boxes of Girl Scout cookies sold**\n\n| Day | Boxes of cookies |\n| --- | --- |\n| Sunday | 13 |\n| Monday | 19 |\n| Tuesday | 13 |\n| Wednesday | 14 |\n| Thursday | 22 |" } ] }, { "id": "37165", "image": "37165.png", "conversations": [ { "from": "human", "question": "Craig just downloaded the new game Gem Excavator on his phone. In the first level, Craig gains points for each green gem he finds. However, he loses points for each red gem he finds. The table shows how the gems affect Craig's points. Which color gem affects Craig's points less?\n" }, { "from": "gpt", "solution": "To find the gem that affects Craig's points less, use absolute value. Absolute value tells you how much Craig's points change for each color gem.\nGreen: |25| = 25\nRed: |-40| = 40\nCraig gains 25 points for each green gem he finds, and he loses 40 points for each red gem he finds. So, the green gems affect Craig's points less.", "answer": "green", "table": "| Gem color | Change in points |\n| --- | --- |\n| Green | 25 |\n| Red | -40 |" } ] }, { "id": "37166", "image": "37166.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $615, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $615, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $555 | 22,000 | 17,500 |\n| $615 | 21,400 | 18,500 |\n| $675 | 20,800 | 19,500 |\n| $735 | 20,200 | 20,500 |\n| $795 | 19,600 | 21,500 |" } ] }, { "id": "37171", "image": "37171.png", "conversations": [ { "from": "human", "question": "Each bracelet has 2 glass beads. How many glass beads are on 5 bracelets?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 10 glass beads on 5 bracelets.", "answer": "10", "table": "| Number of bracelets | Number of glass beads |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | 6 |\n| 4 | 8 |\n| 5 | ? |" } ] }, { "id": "37180", "image": "37180.png", "conversations": [ { "from": "human", "question": "A magazine editor looked at her sales figures for the past 4 months. In which month were the most copies sold?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 881.\n\nNow find the corresponding month. December corresponds to 881.", "answer": "December", "table": "**Magazines sold**\n\n| Month | Number of magazines |\n| --- | --- |\n| November | 821 |\n| December | 881 |\n| January | 819 |\n| February | 828 |" } ] }, { "id": "37192", "image": "37192.png", "conversations": [ { "from": "human", "question": "Each year, the campers at Kamal's summer camp try to set that summer's record for finishing the obstacle course as quickly as possible. According to the table, what was the rate of change between 2013 and 2014?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{22 minutes - 23 minutes}{2014 - 2013}\n = \\frac{22 minutes - 23 minutes}{1 year}\n = \\frac{-1 minutes}{1 year}\n = -1 minutes per year\nThe rate of change between 2013 and 2014 was - 1 minutes per year.", "answer": "-1", "table": "**Record obstacle course completion times**\n\n| Year | Record time (minutes) |\n| --- | --- |\n| 2013 | 23 |\n| 2014 | 22 |\n| 2015 | 30 |\n| 2016 | 21 |\n| 2017 | 27 |" } ] }, { "id": "37196", "image": "37196.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which event ends at 7.15 P.M.?\n" }, { "from": "gpt", "solution": "Find 7:15 P. M. on the schedule. The snowboarding event ends at 7:15 P. M.", "answer": "snowboarding event", "table": "**Winter Olympics schedule**\n\n| Event | Begin | End |\n| --- | --- | --- |\n| ski jumping | 11:35 A.M. | 2:20 P.M. |\n| cross-country skiing | 1:55 P.M. | 3:50 P.M. |\n| snowboarding | 3:20 P.M. | 7:15 P.M. |\n| downhill skiing | 6:50 P.M. | 8:00 P.M. |\n| figure skating | 7:00 P.M. | 9:15 P.M. |" } ] }, { "id": "37214", "image": "37214.png", "conversations": [ { "from": "human", "question": "The members of the science club shared how many times they had been to the zoo last year. How many members went to the zoo more than 3 times?\n" }, { "from": "gpt", "solution": "Find the rows for 4 and 5 times. Add the frequencies for these rows.\n\nAdd:\n\n3 + 5 = 8\n\n8 members went to the zoo more than 3 times.", "answer": "8", "table": "**Trips to the zoo last year**\n\n| Number of trips | Frequency |\n| --- | --- |\n| 0 | 13 |\n| 1 | 4 |\n| 2 | 16 |\n| 3 | 0 |\n| 4 | 3 |\n| 5 | 5 |" } ] }, { "id": "37216", "image": "37216.png", "conversations": [ { "from": "human", "question": "An employee at the craft store counted the number of red buttons in each bag of mixed buttons. How many bags had fewer than 57 red buttons?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 2, 3, and 4.\n\nIn the row with stem 5, count all the leaves less than 7.\n\nYou counted 16 leaves, which are blue in the stem-and-leaf plots above. 16 bags had fewer than 57 red buttons.", "answer": "16", "table": "**Red buttons per bag**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 0, 3, 4, 6 |\n| 3 | 0, 1, 4, 4, 9 |\n| 4 | 1, 3, 5, 7, 8 |\n| 5 | 0, 5, 7, 7, 8, 9 |\n| 6 | 5, 7, 8, 9, 9 |" } ] }, { "id": "37230", "image": "37230.png", "conversations": [ { "from": "human", "question": "Aaron has $35.00. Does he have enough to buy a boomerang and a mystery game?\n" }, { "from": "gpt", "solution": "Add the price of a boomerang and the price of a mystery game:\n\n$19.00 + $18.00 = $37.00\n\n$37.00 is more than $35.00. Aaron does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| boomerang | $19.00 |\n| mystery game | $18.00 |\n| toy piano | $34.00 |\n| video game | $39.00 |" } ] }, { "id": "37235", "image": "37235.png", "conversations": [ { "from": "human", "question": "The Danville Chamber of Commerce researched the number of employees working at local companies. How many companies have at least 70 employees but less than 100 employees?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 7, 8, and 9.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 companies have at least 70 employees but less than 100 employees.", "answer": "4", "table": "**Company sizes (number of employees)**\n\n| Stem | Leaf |\n| --- | --- |\n| 6 | 0, 2, 4 |\n| 7 | 0, 8 |\n| 8 | 3 |\n| 9 | 0 |" } ] }, { "id": "37238", "image": "37238.png", "conversations": [ { "from": "human", "question": "Nate has $10. Does he have enough to buy a coloring book and a cookbook?\n" }, { "from": "gpt", "solution": "Add the price of a coloring book and the price of a cookbook:\n\n$5 + $6 = $11\n\n$11 is more than $10. Nate does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| dog calendar | $8 |\n| cookbook | $6 |\n| coloring book | $5 |\n| map of the United States | $3 |" } ] }, { "id": "37240", "image": "37240.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $830, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $830, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $630 | 16,700 | 5,700 |\n| $680 | 14,000 | 6,100 |\n| $730 | 11,300 | 6,500 |\n| $780 | 8,600 | 6,900 |\n| $830 | 5,900 | 7,300 |" } ] }, { "id": "37245", "image": "37245.png", "conversations": [ { "from": "human", "question": "How much money does Jada need to buy a baseball ticket, a tennis ticket, and a soccer ticket?\n" }, { "from": "gpt", "solution": "Find the total cost of a baseball ticket, a tennis ticket, and a soccer ticket.\n\n$26 + $78 + $70 = $174\n\nJada needs $174.", "answer": "174", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| tennis ticket | $78 |\n| soccer ticket | $70 |\n| baseball ticket | $26 |\n| basketball ticket | $21 |\n| football ticket | $90 |" } ] }, { "id": "37246", "image": "37246.png", "conversations": [ { "from": "human", "question": "A recycling center kept a log of how many glass bottles were recycled in the past 4 days. How many glass bottles in total did the center recycle on Saturday and Monday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nSaturday: 1,565\nMonday: 1,621\n\nNow add: 1,565 + 1,621 = 3,186.\n\nThe center recycled 3,186 glass bottles on Saturday and Monday.", "answer": "3,186", "table": "**Bottles recycled**\n\n| Day | Number of bottles |\n| --- | --- |\n| Friday | 7,119 |\n| Saturday | 1,565 |\n| Sunday | 1,577 |\n| Monday | 1,621 |" } ] }, { "id": "37247", "image": "37247.png", "conversations": [ { "from": "human", "question": "In a study on public parking, the director of transportation counted the number of cars in each of the city's parking lots. How many parking lots had at least 62 cars but fewer than 64 cars?\n" }, { "from": "gpt", "solution": "Find the row with stem 6. Count all the leaves greater than or equal to 2 and less than 4.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 parking lots had at least 62 cars but fewer than 64 cars.", "answer": "4", "table": "**Cars per parking lot**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 1, 6, 9, 9 |\n| 4 | 0, 2, 5, 6, 7, 8, 8 |\n| 5 | 1, 2, 6, 6 |\n| 6 | 1, 2, 2, 3, 3, 6, 8, 8, 9 |" } ] }, { "id": "37251", "image": "37251.png", "conversations": [ { "from": "human", "question": "Kamal kept a log of how many pages he read each month. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n91, 78, 92, 97, 99, 95, 95, 96\n\nFirst, find the greatest number. The greatest number is 99.\n\nNext, find the least number. The least number is 78.\n\nSubtract the least number from the greatest number:\n\n99 − 78 = 21\n\nThe range is 21.", "answer": "21", "table": "**Pages read**\n\n| Month | Number of pages |\n| --- | --- |\n| March | 91 |\n| April | 78 |\n| May | 92 |\n| June | 97 |\n| July | 99 |\n| August | 95 |\n| September | 95 |\n| October | 96 |" } ] }, { "id": "37253", "image": "37253.png", "conversations": [ { "from": "human", "question": "Haley has $12.50. Does she have enough to buy a picture book and a math book?\n" }, { "from": "gpt", "solution": "Add the price of a picture book and the price of a math book:\n\n$8.90 + $3.78 = $12.68\n\n$12.68 is more than $12.50. Haley does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| math book | $3.78 |\n| coloring book | $2.57 |\n| picture book | $8.90 |\n| textbook | $2.34 |" } ] }, { "id": "37256", "image": "37256.png", "conversations": [ { "from": "human", "question": "The city library monitored the number of books checked out each day. How many books in total were checked out on Tuesday and Thursday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nTuesday: 8,930\nThursday: 1,283\n\nNow add: 8,930 + 1,283 = 10,213.\n\n10,213 books were checked out on Tuesday and Thursday.", "answer": "10,213", "table": "**Books checked out**\n\n| Day | Number of books |\n| --- | --- |\n| Tuesday | 8,930 |\n| Wednesday | 8,879 |\n| Thursday | 1,283 |" } ] }, { "id": "37262", "image": "37262.png", "conversations": [ { "from": "human", "question": "Some farmers compared how many sheep were in their flocks. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n45, 59, 42, 60, 58, 34, 47, 29\n\nFirst, find the greatest number. The greatest number is 60.\n\nNext, find the least number. The least number is 29.\n\nSubtract the least number from the greatest number:\n\n60 − 29 = 31\n\nThe range is 31.", "answer": "31", "table": "**Sheep owned**\n\n| Farmer | Number of sheep |\n| --- | --- |\n| Farmer Bob | 45 |\n| Farmer Dan | 59 |\n| Farmer Anne | 42 |\n| Farmer Jo | 60 |\n| Farmer Sally | 58 |\n| Farmer Dave | 34 |\n| Farmer Sam | 47 |\n| Farmer Betty | 29 |" } ] }, { "id": "37263", "image": "37263.png", "conversations": [ { "from": "human", "question": "Jeremiah and his friends recorded their scores while playing a board game. How many people scored less than 9?\n" }, { "from": "gpt", "solution": "Find the rows for 6, 7, and 8. Add the frequencies for these rows.\n\nAdd:\n\n13 + 1 + 16 = 30\n\n30 people scored less than 9.", "answer": "30", "table": "**Scores on a board game**\n\n| Score | Frequency |\n| --- | --- |\n| 6 | 13 |\n| 7 | 1 |\n| 8 | 16 |\n| 9 | 15 |\n| 10 | 12 |" } ] }, { "id": "37264", "image": "37264.png", "conversations": [ { "from": "human", "question": "A stock broker followed the stock prices of a certain set of companies. On Wednesday, which company's stock cost the most?\n" }, { "from": "gpt", "solution": "Look at the numbers in the Wednesday column. Find the greatest number in this column.\n\nThe greatest number is $14.00, which is in the Watson and Partners row. On Wednesday, Watson and Partners's stock cost the most.", "answer": "Watson and Partners", "table": "**Stock prices**\n\n| Company | Tuesday | Wednesday |\n| --- | --- | --- |\n| Computer Data Company | $14 | $8 |\n| Jonas Incorporated | $5 | $12 |\n| Watson and Partners | $10 | $14 |" } ] }, { "id": "37266", "image": "37266.png", "conversations": [ { "from": "human", "question": "How much money does Eve need to buy a waffle with berries, an egg sandwich, and a ham and cheese omelette?\n" }, { "from": "gpt", "solution": "Find the total cost of a waffle with berries, an egg sandwich, and a ham and cheese omelette.\n\n$8 + $2 + $8 = $18\n\nEve needs $18.", "answer": "18", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| poached eggs | $1 |\n| ham and cheese omelette | $8 |\n| egg sandwich | $2 |\n| spinach omelette | $5 |\n| waffle with berries | $8 |\n| bowl of melon | $1 |" } ] }, { "id": "37267", "image": "37267.png", "conversations": [ { "from": "human", "question": "How much money does Aisha need to buy 3 pairs of shoes and a denim skirt?\n" }, { "from": "gpt", "solution": "Find the cost of 3 pairs of shoes.\n\n$11.91 × 3 = $35.73\n\nNow find the total cost.\n\n$35.73 + $18.69 = $54.42\n\nAisha needs $54.42.", "answer": "54.42", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| denim skirt | $18.69 |\n| pair of shoes | $11.91 |\n| red sweater | $30.00 |\n| black skirt | $11.53 |\n| pair of shorts | $25.82 |" } ] }, { "id": "37271", "image": "37271.png", "conversations": [ { "from": "human", "question": "How much money does Cody need to buy 5 jars of olives?\n" }, { "from": "gpt", "solution": "Find the total cost of 5 jars of olives by multiplying 5 times the price of a jar of olives.\n\n$0.42 × 5 = $2.10\n\nCody needs $2.10.", "answer": "2.10", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| jar of pickles | $0.87 |\n| jar of olives | $0.42 |\n| can of mushrooms | $0.95 |\n| jar of applesauce | $0.88 |" } ] }, { "id": "37274", "image": "37274.png", "conversations": [ { "from": "human", "question": "After a spelling bee, some students compared how many words they spelled correctly. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n96, 100, 97, 87, 89\n\nFirst, arrange the numbers from least to greatest:\n\n87, 89, 96, 97, 100\n\nNow find the number in the middle.\n\n87, 89, 96, 97, 100\n\nThe number in the middle is 96.\n\nThe median is 96.", "answer": "96", "table": "**Spelling bee results**\n\n| Name | Number of words spelled correctly |\n| --- | --- |\n| Cindy | 96 |\n| Tim | 100 |\n| Finn | 97 |\n| Sadie | 87 |\n| Matthew | 89 |" } ] }, { "id": "37279", "image": "37279.png", "conversations": [ { "from": "human", "question": "Fans of the Hampton baseball team compared the number of games won by their team each year. According to the table, what was the rate of change between 2011 and 2012?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{47 games - 47 games}{2012 - 2011}\n = \\frac{47 games - 47 games}{1 year}\n = \\frac{0 games}{1 year}\n = 0 games per year\nThe rate of change between 2011 and 2012 was 0 games per year.", "answer": "0", "table": "**Games won by the Hampton baseball team**\n\n| Year | Games won |\n| --- | --- |\n| 2008 | 42 |\n| 2009 | 45 |\n| 2010 | 40 |\n| 2011 | 47 |\n| 2012 | 47 |" } ] }, { "id": "37284", "image": "37284.png", "conversations": [ { "from": "human", "question": "Lucy looked at the dates of the digital photos on her computer to find out how many she had taken in the past 7 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 8, 10, 7, 11, 7, 8\n\nFirst, arrange the numbers from least to greatest:\n\n7, 7, 8, 8, 9, 10, 11\n\nNow find the number in the middle.\n\n7, 7, 8, 8, 9, 10, 11\n\nThe number in the middle is 8.\n\nThe median is 8.", "answer": "8", "table": "**Photographs taken**\n\n| Day | Number of photographs |\n| --- | --- |\n| Wednesday | 9 |\n| Thursday | 8 |\n| Friday | 10 |\n| Saturday | 7 |\n| Sunday | 11 |\n| Monday | 7 |\n| Tuesday | 8 |" } ] }, { "id": "37286", "image": "37286.png", "conversations": [ { "from": "human", "question": "Each shopping bag has 2 T-shirts. How many T-shirts are in 5 shopping bags?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 10 T-shirts in 5 shopping bags.", "answer": "10", "table": "| Number of shopping bags | Number of T-shirts |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | 6 |\n| 4 | 8 |\n| 5 | ? |" } ] }, { "id": "37290", "image": "37290.png", "conversations": [ { "from": "human", "question": "How much more does a photograph signed by a famous singer cost than a skate signed by a famous figure skater?\n" }, { "from": "gpt", "solution": "Subtract the price of a skate signed by a famous figure skater from the price of a photograph signed by a famous singer.\n\n$98.40 - $86.43 = $11.97\n\nA photograph signed by a famous singer costs $11.97 more than a skate signed by a famous figure skater.", "answer": "11.97", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| photograph signed by a famous singer | $98.40 |\n| photograph signed by a famous race car driver | $23.38 |\n| skate signed by a famous figure skater | $86.43 |\n| ball signed by a famous football player | $53.07 |" } ] }, { "id": "37291", "image": "37291.png", "conversations": [ { "from": "human", "question": "At their family reunion, the Humphrey family recorded everyone's age. How many people are exactly 26 years old?\n" }, { "from": "gpt", "solution": "For the number 26, the stem is 2, and the leaf is 6. Find the row where the stem is 2. In that row, count all the leaves equal to 6.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 people are exactly26 years old.", "answer": "4", "table": "**Ages**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 7, 9 |\n| 2 | 6, 6, 6, 6, 7 |\n| 3 | 6, 6 |\n| 4 | |\n| 5 | 2 |\n| 6 | 1, 2, 4, 6 |\n| 7 | 7, 8, 8 |\n| 8 | 3, 5, 8 |" } ] }, { "id": "37292", "image": "37292.png", "conversations": [ { "from": "human", "question": "A magazine editor looked at her sales figures for the past 3 months. How many copies in total were sold in May and June?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nMay: 2,512\nJune: 1,209\n\nNow add: 2,512 + 1,209 = 3,721.\n\n3,721 copies were sold in May and June.", "answer": "3,721", "table": "**Magazines sold**\n\n| Month | Number of magazines |\n| --- | --- |\n| April | 5,478 |\n| May | 2,512 |\n| June | 1,209 |" } ] }, { "id": "37294", "image": "37294.png", "conversations": [ { "from": "human", "question": "Principal Bradshaw reported the state test scores from some students at his school. How many students scored at least 50 points but fewer than 90 points?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 5, 6, 7, and 8.\n\nYou counted 9 leaves, which are blue in the stem-and-leaf plot above. 9 students scored at least 50 points but fewer than 90 points.", "answer": "9", "table": "**Test scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 0 | 8, 9 |\n| 1 | 5, 7, 9 |\n| 2 | 1, 3, 6, 7 |\n| 3 | 0, 9 |\n| 4 | 6, 8 |\n| 5 | 2, 3 |\n| 6 | 9 |\n| 7 | 0, 1, 3, 4, 7 |\n| 8 | 0 |" } ] }, { "id": "37295", "image": "37295.png", "conversations": [ { "from": "human", "question": "Diego looked over his calendar to see how many times he had soccer practice each month. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n5, 4, 5, 7, 5, 5\n\nFirst, find the greatest number. The greatest number is 7.\n\nNext, find the least number. The least number is 4.\n\nSubtract the least number from the greatest number:\n\n7 − 4 = 3\n\nThe range is 3.", "answer": "3", "table": "**Soccer practice**\n\n| Month | Number of practices |\n| --- | --- |\n| October | 5 |\n| November | 4 |\n| March | 5 |\n| April | 7 |\n| May | 5 |\n| June | 5 |" } ] }, { "id": "37299", "image": "37299.png", "conversations": [ { "from": "human", "question": "Chad's class recorded how many cans of food each student collected for their canned food drive. Who collected the fewest cans?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 927.\n\nNow find the corresponding name. Dustin corresponds to 927.", "answer": "Dustin", "table": "**Cans of food collected**\n\n| Name | Number of cans of food |\n| --- | --- |\n| Chad | 992 |\n| Jasper | 979 |\n| Dustin | 927 |\n| Amanda | 972 |" } ] }, { "id": "37300", "image": "37300.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Which stop does the train depart from at 8.35 A.M.?\n" }, { "from": "gpt", "solution": "Find 8:35 A. M. on the schedule. The train departs from the industrial district at 8:35 A. M.", "answer": "industrial district", "table": "**Subway train schedule**\n\n| Location | Time |\n| --- | --- |\n| industrial district | 8:35 A.M. |\n| football stadium | 9:05 A.M. |\n| civic center | 9:55 A.M. |\n| city park | 10:30 A.M. |\n| downtown | 11:10 A.M. |\n| history museum | 11:50 A.M. |\n| university | 12:35 P.M. |\n| waterfront | 12:45 P.M. |\n| baseball stadium | 1:20 P.M. |" } ] }, { "id": "37308", "image": "37308.png", "conversations": [ { "from": "human", "question": "Spencer's P.E. class participated in a push-up competition, and Spencer wrote down how many push-ups each person could do. How many people did at least 80 push-ups but fewer than 90 push-ups?\n" }, { "from": "gpt", "solution": "Count all the leaves in the row with stem 8.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 people did at least 80 push-ups but fewer than 90 push-ups.", "answer": "2", "table": "**Push-up competition (number of push-ups)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1, 7 |\n| 2 | 3, 5, 8 |\n| 3 | 3, 6 |\n| 4 | |\n| 5 | |\n| 6 | 6, 9 |\n| 7 | |\n| 8 | 4, 7 |" } ] }, { "id": "37310", "image": "37310.png", "conversations": [ { "from": "human", "question": "A girl compared the ages of her cousins. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n16, 3, 16, 13, 4\n\nFirst, arrange the numbers from least to greatest:\n\n3, 4, 13, 16, 16\n\nNow find the number in the middle.\n\n3, 4, 13, 16, 16\n\nThe number in the middle is 13.\n\nThe median is 13.", "answer": "13", "table": "**Ages of cousins**\n\n| Name | Age (years) |\n| --- | --- |\n| Bonnie | 16 |\n| Emmet | 3 |\n| Abdul | 16 |\n| Oliver | 13 |\n| Candice | 4 |" } ] }, { "id": "37311", "image": "37311.png", "conversations": [ { "from": "human", "question": "Hakim has $79.00. Does he have enough to buy a trampoline and a stuffed animal?\n" }, { "from": "gpt", "solution": "Add the price of a trampoline and the price of a stuffed animal:\n\n$63.00 + $20.00 = $83.00\n\n$83.00 is more than $79.00. Hakim does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| stuffed animal | $20.00 |\n| red wagon | $35.00 |\n| chess board | $14.00 |\n| trampoline | $63.00 |" } ] }, { "id": "37320", "image": "37320.png", "conversations": [ { "from": "human", "question": "At family beach day, the Wildgrove Recreation Department offered a range of activities. Which activity are the fewest people doing?\n" }, { "from": "gpt", "solution": "Add the numbers in each row.\n\ncollecting shells: 19 + 6 = 25\nmaking sand castles: 5 + 12 = 17\nwalking: 6 + 9 = 15\neating lunch: 13 + 6 = 19\nplaying volleyball: 2 + 8 = 10\n\nThe least sum is 10, which is the total for the Playing volleyball row. The fewest people are playing volleyball.", "answer": "playing volleyball", "table": "**Family beach day**\n\n| Activity | Parents | Children |\n| --- | --- | --- |\n| Collecting shells | 19 | 6 |\n| Making sand castles | 5 | 12 |\n| Walking | 6 | 9 |\n| Eating lunch | 13 | 6 |\n| Playing volleyball | 2 | 8 |" } ] }, { "id": "37321", "image": "37321.png", "conversations": [ { "from": "human", "question": "A farm equipment company kept a record of the number of tractors made each month. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n10, 9, 9, 8, 9\n\nFirst, count how many numbers are in the group.\n\nThere are 5 numbers.\n\nNow add all the numbers together:\n\n10 + 9 + 9 + 8 + 9 = 45\n\nNow divide the sum by the number of numbers:\n\n45 ÷ 5 = 9\n\nThe mean is 9.", "answer": "9", "table": "**Tractors made**\n\n| Month | Number of tractors |\n| --- | --- |\n| December | 10 |\n| January | 9 |\n| February | 9 |\n| March | 8 |\n| April | 9 |" } ] }, { "id": "37330", "image": "37330.png", "conversations": [ { "from": "human", "question": "Several students participated in a race. Which runner took the longest?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 26.\n\nNow find the corresponding runner. Omar corresponds to 26.", "answer": "Omar", "table": "**Race results**\n\n| Runner | Time (minutes) |\n| --- | --- |\n| Omar | 26 |\n| Scott | 23 |\n| Tori | 22 |\n| Manny | 21 |" } ] }, { "id": "37347", "image": "37347.png", "conversations": [ { "from": "human", "question": "Dr. McMillan, a zoo director, researched ticket prices at other zoos around the country. Which charges more for a child ticket, the Cleveland Zoo or the Brookfield Zoo?\n" }, { "from": "gpt", "solution": "Find the Child column. Compare the numbers in this column for Cleveland and Brookfield.\n\n$8.00 is more than $7.00. The Brookfield Zoo charges more for a child.", "answer": "Brookfield", "table": "**Zoo ticket prices**\n\n| Zoo | Child | Senior |\n| --- | --- | --- |\n| Boise | $3 | $4 |\n| Brookfield | $8 | $8 |\n| Houston | $6 | $6 |\n| Cleveland | $7 | $10 |\n| Southern Nevada | $6 | $6 |" } ] }, { "id": "37351", "image": "37351.png", "conversations": [ { "from": "human", "question": "A furniture store kept a record of how many couches it sold each day. On which day did the furniture store sell the fewest couches?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 13.\n\nNow find the corresponding day. Sunday corresponds to 13.", "answer": "Sunday", "table": "**Couches sold**\n\n| Day | Number of couches |\n| --- | --- |\n| Saturday | 16 |\n| Sunday | 13 |\n| Monday | 19 |\n| Tuesday | 18 |" } ] }, { "id": "37362", "image": "37362.png", "conversations": [ { "from": "human", "question": "Emmy has $58.00. Does she have enough to buy a DVD and a telephone?\n" }, { "from": "gpt", "solution": "Add the price of a DVD and the price of a telephone:\n\n$15.00 + $47.00 = $62.00\n\n$62.00 is more than $58.00. Emmy does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| DVD | $15.00 |\n| toaster | $22.00 |\n| camera | $46.00 |\n| computer mouse | $25.00 |\n| telephone | $47.00 |\n| microwave | $70.00 |" } ] }, { "id": "37366", "image": "37366.png", "conversations": [ { "from": "human", "question": "Kinsley recalled how many minutes she had spent at orchestra rehearsal in the past 5 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n78, 79, 67, 70, 76\n\nFirst, arrange the numbers from least to greatest:\n\n67, 70, 76, 78, 79\n\nNow find the number in the middle.\n\n67, 70, 76, 78, 79\n\nThe number in the middle is 76.\n\nThe median is 76.", "answer": "76", "table": "**Minutes spent rehearsing**\n\n| Day | Minutes |\n| --- | --- |\n| Wednesday | 78 |\n| Thursday | 79 |\n| Friday | 67 |\n| Saturday | 70 |\n| Sunday | 76 |" } ] }, { "id": "37369", "image": "37369.png", "conversations": [ { "from": "human", "question": "Maria counted the number of desks in each classroom at her school. How many classrooms have fewer than 26 desks?\n" }, { "from": "gpt", "solution": "Count all the leaves in the row with stem 1.\n\nIn the row with stem 2, count all the leaves less than 6.\n\nYou counted 7 leaves, which are blue in the stem-and-leaf plots above. 7 classrooms have fewer than 26 desks.", "answer": "7", "table": "**Desks per classroom**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 2, 5, 9, 9 |\n| 2 | 0, 1, 4, 8 |\n| 3 | |\n| 4 | 2 |" } ] }, { "id": "37378", "image": "37378.png", "conversations": [ { "from": "human", "question": "Malia spent a week at the beach and recorded the number of shells she found each day. According to the table, what was the rate of change between Friday and Saturday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{8 shells - 3 shells}{1 day}\n = \\frac{5 shells}{1 day}\n = 5 shells per day\nThe rate of change between Friday and Saturday was 5 shells per day.", "answer": "5", "table": "**Shells Malia found**\n\n| Day | Number of shells |\n| --- | --- |\n| Tuesday | 5 |\n| Wednesday | 6 |\n| Thursday | 1 |\n| Friday | 3 |\n| Saturday | 8 |" } ] }, { "id": "37386", "image": "37386.png", "conversations": [ { "from": "human", "question": "A pumpkin patch monitored the number of pumpkins sold each day. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n34, 29, 15, 16, 23, 21, 28\n\nFirst, find the greatest number. The greatest number is 34.\n\nNext, find the least number. The least number is 15.\n\nSubtract the least number from the greatest number:\n\n34 − 15 = 19\n\nThe range is 19.", "answer": "19", "table": "**Pumpkins sold**\n\n| Day | Number of pumpkins |\n| --- | --- |\n| Saturday | 34 |\n| Sunday | 29 |\n| Monday | 15 |\n| Tuesday | 16 |\n| Wednesday | 23 |\n| Thursday | 21 |\n| Friday | 28 |" } ] }, { "id": "37399", "image": "37399.png", "conversations": [ { "from": "human", "question": "How much more does a book about Asia cost than a book about reptiles?\n" }, { "from": "gpt", "solution": "Subtract the price of a book about reptiles from the price of a book about Asia.\n\n$9.70 - $1.32 = $8.38\n\nA book about Asia costs $8.38 more than a book about reptiles.", "answer": "8.38", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| book about reptiles | $1.32 |\n| book about trains | $5.32 |\n| book about birds | $2.66 |\n| book about animals | $1.37 |\n| book about Asia | $9.70 |" } ] }, { "id": "37401", "image": "37401.png", "conversations": [ { "from": "human", "question": "Every year Morristown has a citywide relay and reports the winning times. According to the table, what was the rate of change between 2018 and 2019?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{38 minutes - 45 minutes}{2019 - 2018}\n = \\frac{38 minutes - 45 minutes}{1 year}\n = \\frac{-7 minutes}{1 year}\n = -7 minutes per year\nThe rate of change between 2018 and 2019 was - 7 minutes per year.", "answer": "-7", "table": "**Winning relay times**\n\n| Year | Winning time (minutes) |\n| --- | --- |\n| 2015 | 42 |\n| 2016 | 43 |\n| 2017 | 37 |\n| 2018 | 45 |\n| 2019 | 38 |" } ] }, { "id": "37402", "image": "37402.png", "conversations": [ { "from": "human", "question": "A crayon factory monitored the number of broken crayons per box during the past day. How many boxes had exactly 16 broken crayons?\n" }, { "from": "gpt", "solution": "For the number 16, the stem is 1, and the leaf is 6. Find the row where the stem is 1. In that row, count all the leaves equal to 6.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 boxes had exactly16 broken crayons.", "answer": "2", "table": "**Broken crayons per box**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 6, 6 |\n| 2 | 2, 3, 5, 9 |\n| 3 | 0 |\n| 4 | 9 |\n| 5 | 5, 9 |\n| 6 | 5, 5, 6, 7, 8 |\n| 7 | 8 |\n| 8 | 0, 0, 3 |" } ] }, { "id": "37403", "image": "37403.png", "conversations": [ { "from": "human", "question": "How much money does Heather need to buy 7 geckos and 7 boa constrictors?\n" }, { "from": "gpt", "solution": "Find the cost of 7 geckos.\n\n$418.00 × 7 = $2,926.00\n\nFind the cost of 7 boa constrictors.\n\n$651.00 × 7 = $4,557.00\n\nNow find the total cost.\n\n$2,926.00 + $4,557.00 = $7,483.00\n\nHeather needs $7,483.00.", "answer": "7,483", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| macaw | $877.00 |\n| boa constrictor | $651.00 |\n| cockatiel | $389.00 |\n| gecko | $418.00 |\n| ferret | $197.00 |" } ] }, { "id": "37409", "image": "37409.png", "conversations": [ { "from": "human", "question": "Each dish has 10 walnuts. How many walnuts are in 4 dishes?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 40 walnuts in 4 dishes.", "answer": "40", "table": "| Number of dishes | Number of walnuts |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | ? |" } ] }, { "id": "37417", "image": "37417.png", "conversations": [ { "from": "human", "question": "Each shelf has 10 pairs of pants. How many pairs of pants are on 3 shelves?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 30 pairs of pants on 3 shelves.", "answer": "30", "table": "| Number of shelves | Number of pairs of pants |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | ? |" } ] }, { "id": "37418", "image": "37418.png", "conversations": [ { "from": "human", "question": "The school district compared how many swings each elementary school has. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n1, 6, 2, 2, 2, 6, 1\n\nFirst, arrange the numbers from least to greatest:\n\n1, 1, 2, 2, 2, 6, 6\n\nNow count how many times each number appears.\n\n1 appears 2 times.\n2 appears 3 times.\n6 appears 2 times.\n\nThe number that appears most often is 2.\n\nThe mode is 2.", "answer": "2", "table": "**Swings**\n\n| School | Number of swings |\n| --- | --- |\n| Hillside Elementary | 1 |\n| Canyon Elementary | 6 |\n| Jefferson Elementary | 2 |\n| Sierra Elementary | 2 |\n| Valley Elementary | 2 |\n| Lincoln Elementary | 6 |\n| Roseville Elementary | 1 |" } ] }, { "id": "37419", "image": "37419.png", "conversations": [ { "from": "human", "question": "The city library monitored the number of books checked out each day. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n55, 64, 64, 70, 68, 70, 72\n\nFirst, find the greatest number. The greatest number is 72.\n\nNext, find the least number. The least number is 55.\n\nSubtract the least number from the greatest number:\n\n72 − 55 = 17\n\nThe range is 17.", "answer": "17", "table": "**Books checked out**\n\n| Day | Number of books |\n| --- | --- |\n| Sunday | 55 |\n| Monday | 64 |\n| Tuesday | 64 |\n| Wednesday | 70 |\n| Thursday | 68 |\n| Friday | 70 |\n| Saturday | 72 |" } ] }, { "id": "37432", "image": "37432.png", "conversations": [ { "from": "human", "question": "Each dish has 5 walnuts. How many walnuts are in 4 dishes?\n" }, { "from": "gpt", "solution": "Count by fives. Use the chart: there are 20 walnuts in 4 dishes.", "answer": "20", "table": "| Number of dishes | Number of walnuts |\n| --- | --- |\n| 1 | 5 |\n| 2 | 10 |\n| 3 | 15 |\n| 4 | ? |" } ] }, { "id": "37444", "image": "37444.png", "conversations": [ { "from": "human", "question": "How much money does Luna need to buy 3 toy pianos?\n" }, { "from": "gpt", "solution": "Find the total cost of 3 toy pianos by multiplying 3 times the price of a toy piano.\n\n$36.67 × 3 = $110.01\n\nLuna needs $110.01.", "answer": "110.01", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| toy piano | $36.67 |\n| trampoline | $91.97 |\n| stuffed animal | $11.77 |\n| model railroad set | $80.61 |" } ] }, { "id": "37449", "image": "37449.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{11 - 6}{9 - 8}\n = \\frac{5}{1}\n = 5\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{16 - 11}{10 - 9}\n = \\frac{5}{1}\n = 5\nThe two rates of change are the same.\nIf you checked the rate of change between rows 1 and 3, you would find that it is also 5.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 8 | 6 |\n| 9 | 11 |\n| 10 | 16 |" } ] }, { "id": "37450", "image": "37450.png", "conversations": [ { "from": "human", "question": "While writing a paper on making decisions in groups, Deion researched the size of a number of committees. How many committees have exactly 24 members?\n" }, { "from": "gpt", "solution": "For the number 24, the stem is 2, and the leaf is 4. Find the row where the stem is 2. In that row, count all the leaves equal to 4.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 committees have exactly24 members.", "answer": "2", "table": "**Committee sizes (number of members)**\n\n| Stem | Leaf |\n| --- | --- |\n| 0 | 4, 6, 9 |\n| 1 | 8 |\n| 2 | 0, 3, 4, 4, 5 |\n| 3 | 0, 9 |\n| 4 | 3, 3, 8, 9 |\n| 5 | |\n| 6 | 0, 6 |\n| 7 | 0, 2, 8 |\n| 8 | 5 |" } ] }, { "id": "37451", "image": "37451.png", "conversations": [ { "from": "human", "question": "A stock broker followed the stock prices of a certain set of companies. On Wednesday, how much more did Thompson Corporation's stock cost than Houston Sporting Goods's stock?\n" }, { "from": "gpt", "solution": "Find the Wednesday column. Find the numbers in this column for Thompson Corporation and Houston Sporting Goods.\n\nThompson Corporation: $19.00\nHouston Sporting Goods: $14.00\n\nNow subtract:\n\n$19.00 − $14.00 = $5.00\n\nOn Wednesday Thompson Corporation's stock cost $5 more than Houston Sporting Goods's stock.", "answer": "5", "table": "**Stock prices**\n\n| Company | Wednesday | Thursday |\n| --- | --- | --- |\n| Thompson Corporation | $19 | $18 |\n| Watson and Partners | $20 | $6 |\n| Computer Data Company | $4 | $18 |\n| White and Company | $14 | $12 |\n| Houston Sporting Goods | $14 | $13 |" } ] }, { "id": "37456", "image": "37456.png", "conversations": [ { "from": "human", "question": "How much more does a night's stay at Lakeview Hotel cost than a night's stay at Bay Breeze Resort?\n" }, { "from": "gpt", "solution": "Subtract the price of a night's stay at Bay Breeze Resort from the price of a night's stay at Lakeview Hotel.\n\n$761.00 - $377.00 = $384.00\n\nA night's stay at Lakeview Hotel costs $384.00 more than a night's stay at Bay Breeze Resort.", "answer": "384", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| night's stay at Grand Vista Hotel | $302.00 |\n| night's stay at Lakeview Hotel | $761.00 |\n| night's stay at Hotel Marie | $162.00 |\n| night's stay at Quiet Harbor Motel | $101.00 |\n| night's stay at Bay Breeze Resort | $377.00 |" } ] }, { "id": "37471", "image": "37471.png", "conversations": [ { "from": "human", "question": "A researcher asked people how many letters they had written in the past year and recorded the results. How many people did not write letters?\n" }, { "from": "gpt", "solution": "Find the row for 0 letters and read the frequency. The frequency is 3.\n\n3 people did not write letters.", "answer": "3", "table": "**Writing letters**\n\n| Letters written | Frequency |\n| --- | --- |\n| 0 | 3 |\n| 1 | 16 |\n| 2 | 9 |\n| 3 | 6 |" } ] }, { "id": "37476", "image": "37476.png", "conversations": [ { "from": "human", "question": "Miguel has $6.00. Does he have enough to buy a book about dinosaurs and a book about helicopters?\n" }, { "from": "gpt", "solution": "Add the price of a book about dinosaurs and the price of a book about helicopters:\n\n$3.00 + $2.00 = $5.00\n\n$5.00 is less than $6.00. Miguel does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| book about helicopters | $2.00 |\n| book about reptiles | $6.00 |\n| book about dinosaurs | $3.00 |\n| book about outer space | $1.00 |" } ] }, { "id": "37477", "image": "37477.png", "conversations": [ { "from": "human", "question": "How much money does Hazel need to buy a beach blanket and a pillow?\n" }, { "from": "gpt", "solution": "Add the price of a beach blanket and the price of a pillow:\n\n$5.12 + $8.59 = $13.71\n\nHazel needs $13.71.", "answer": "13.71", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| white washcloth | $2.45 |\n| beach blanket | $5.12 |\n| navy blue bath mat | $5.59 |\n| pillow | $8.59 |" } ] }, { "id": "37478", "image": "37478.png", "conversations": [ { "from": "human", "question": "The manager of a party supply store researched how many balloons it sold in the past 6 days. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n10, 6, 5, 5, 4, 6\n\nFirst, count how many numbers are in the group.\n\nThere are 6 numbers.\n\nNow add all the numbers together:\n\n10 + 6 + 5 + 5 + 4 + 6 = 36\n\nNow divide the sum by the number of numbers:\n\n36 ÷ 6 = 6\n\nThe mean is 6.", "answer": "6", "table": "**Balloons sold**\n\n| Day | Number of balloons |\n| --- | --- |\n| Monday | 10 |\n| Tuesday | 6 |\n| Wednesday | 5 |\n| Thursday | 5 |\n| Friday | 4 |\n| Saturday | 6 |" } ] }, { "id": "37485", "image": "37485.png", "conversations": [ { "from": "human", "question": "While planning a class party, the students voted for their favorite cookies. How many more boys than girls voted for peanut butter?\n" }, { "from": "gpt", "solution": "Find the Peanut butter row. Find the numbers in this row for boys and girls.\n\nboys: 9\ngirls: 1\n\nNow subtract:\n\n9 − 1 = 8\n\n8 more boys than girls voted for peanut butter.", "answer": "8", "table": "**Favorite cookies**\n\n| Cookie | Girls | Boys |\n| --- | --- | --- |\n| Oatmeal | 11 | 2 |\n| Lemon | 3 | 7 |\n| Peanut butter | 1 | 9 |\n| Cinnamon | 7 | 15 |\n| Sugar | 12 | 3 |" } ] }, { "id": "37486", "image": "37486.png", "conversations": [ { "from": "human", "question": "How much money does Brenna need to buy a cheese pizza, a mushroom pizza, and eggplant parmesan?\n" }, { "from": "gpt", "solution": "Find the total cost of a cheese pizza, a mushroom pizza, and eggplant parmesan.\n\n$11.45 + $13.17 + $12.03 = $36.65\n\nBrenna needs $36.65.", "answer": "36.65", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| spaghetti and meatballs | $13.12 |\n| pasta with mushrooms | $10.48 |\n| grilled eggplant | $10.96 |\n| mushroom pizza | $13.17 |\n| eggplant parmesan | $12.03 |\n| cheese pizza | $11.45 |" } ] }, { "id": "37491", "image": "37491.png", "conversations": [ { "from": "human", "question": "A survey was conducted to learn people's chocolate preferences. What fraction of the respondents preferred milk chocolate? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many respondents preferred milk chocolate.\n\n530\n\nFind how many people responded in total.\n\n480 + 530 + 1,000 = 2,010\n\nDivide 530 by2,010.\n\n\\frac{530}{2,010}\n\nReduce the fraction.\n\n\\frac{530}{2,010} → \\frac{53}{201}\n\n\\frac{53}{201} of respondents preferred milk chocolate.", "answer": "53/201", "table": "**Chocolate preferences**\n\n| Type | Number of respondents |\n| --- | --- |\n| Dark chocolate | 480 |\n| Milk chocolate | 530 |\n| White chocolate | 1,000 |" } ] }, { "id": "37494", "image": "37494.png", "conversations": [ { "from": "human", "question": "Bonnie looked at the dates of the digital photos on her computer to find out how many she had taken in the past 6 days. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n10, 9, 8, 4, 4, 1\n\nFirst, count how many numbers are in the group.\n\nThere are 6 numbers.\n\nNow add all the numbers together:\n\n10 + 9 + 8 + 4 + 4 + 1 = 36\n\nNow divide the sum by the number of numbers:\n\n36 ÷ 6 = 6\n\nThe mean is 6.", "answer": "6", "table": "**Photographs taken**\n\n| Day | Number of photographs |\n| --- | --- |\n| Saturday | 10 |\n| Sunday | 9 |\n| Monday | 8 |\n| Tuesday | 4 |\n| Wednesday | 4 |\n| Thursday | 1 |" } ] }, { "id": "37495", "image": "37495.png", "conversations": [ { "from": "human", "question": "How much money does Marshall need to buy a map of the world and a mystery novel?\n" }, { "from": "gpt", "solution": "Add the price of a map of the world and the price of a mystery novel:\n\n$3.46 + $4.77 = $8.23\n\nMarshall needs $8.23.", "answer": "8.23", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| math book | $7.32 |\n| airplane calendar | $9.08 |\n| cat calendar | $9.15 |\n| photo album | $9.61 |\n| map of the world | $3.46 |\n| mystery novel | $4.77 |" } ] }, { "id": "37499", "image": "37499.png", "conversations": [ { "from": "human", "question": "An actor was informed how many fan letters he received each day. How many more fan letters were received on Thursday than on Tuesday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nThursday: 8,201\nTuesday: 2,737\n\nNow subtract: 8,201 - 2,737 = 5,464.\n\n5,464 more fan letters were received on Thursday.", "answer": "5,464", "table": "**Fan letters received**\n\n| Day | Number of fan letters |\n| --- | --- |\n| Saturday | 1,304 |\n| Monday | 5,214 |\n| Tuesday | 2,737 |\n| Wednesday | 6,902 |\n| Thursday | 8,201 |" } ] }, { "id": "37502", "image": "37502.png", "conversations": [ { "from": "human", "question": "Summerfield Flooring tracked the number of broken tiles in each shipment it received last year. How many shipments had at least 70 broken tiles?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 7, 8, and 9.\n\nYou counted 6 leaves, which are blue in the stem-and-leaf plot above. 6 shipments had at least 70 broken tiles.", "answer": "6", "table": "**Broken tiles per shipment**\n\n| Stem | Leaf |\n| --- | --- |\n| 0 | 0, 4, 9 |\n| 1 | 4, 7, 8 |\n| 2 | 3, 7, 9 |\n| 3 | 4 |\n| 4 | 0, 2, 7 |\n| 5 | 5 |\n| 6 | 1, 8 |\n| 7 | 1, 2, 4 |\n| 8 | 6, 8 |\n| 9 | 0 |" } ] }, { "id": "37506", "image": "37506.png", "conversations": [ { "from": "human", "question": "A pair of Douglas High School hockey fans counted the number of games won by the school each year. According to the table, what was the rate of change between 2016 and 2017?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{9 games - 1 game}{2017 - 2016}\n = \\frac{9 games - 1 game}{1 year}\n = \\frac{8 games}{1 year}\n = 8 games per year\nThe rate of change between 2016 and 2017 was 8 games per year.", "answer": "8", "table": "**Hockey games won by Douglas High**\n\n| Year | Games won |\n| --- | --- |\n| 2016 | 1 |\n| 2017 | 9 |\n| 2018 | 11 |\n| 2019 | 11 |\n| 2020 | 8 |" } ] }, { "id": "37507", "image": "37507.png", "conversations": [ { "from": "human", "question": "Caleb went to the store and bought 1.4 pounds of rosemary. How much did he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the rosemary. Multiply the price per pound by the number of pounds.\n$5 × 1.4 = $7\nHe spent $7.", "answer": "7", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| parsley | $6/pound |\n| thyme | $8/pound |\n| mint | $4/pound |\n| rosemary | $5/pound |\n| cilantro | $9/pound |\n| sage | $7/pound |" } ] }, { "id": "37514", "image": "37514.png", "conversations": [ { "from": "human", "question": "Josh has $13.60. How much money will Josh have left if he buys a ride on the Choo-Choo Train and a ride on the Bumper Cars?\n" }, { "from": "gpt", "solution": "Find the total cost of a ride on the Choo-Choo Train and a ride on the Bumper Cars.\n\n$2.72 + $1.38 = $4.10\n\nNow subtract the total cost from the starting amount.\n\n$13.60 - $4.10 = $9.50\n\nJosh will have $9.50 left.", "answer": "9.50", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| ride on the Bumper Cars | $1.38 |\n| trip through the Crazy Fun House | $2.45 |\n| ride on the Speedy Coaster | $2.56 |\n| ride on the Upside-Down Twister | $3.91 |\n| ride on the Choo-Choo Train | $2.72 |" } ] }, { "id": "37516", "image": "37516.png", "conversations": [ { "from": "human", "question": "An Idaho farmer has been monitoring crop prices over time. Per cwt, how much more did onions cost in 2006 than in 2005?\n" }, { "from": "gpt", "solution": "Find the Onions row. Find the numbers in this row for 2006 and 2005.\n\n2006: $17.00\n2005: $8.00\n\nNow subtract:\n\n$17.00 − $8.00 = $9.00\n\nOnions cost $9 more per cwt in 2006 than in 2005.", "answer": "9", "table": "**Idaho crop prices per cwt**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Crop | 2005 | 2006 |\n| Onions | $8 | $17 |\n| Timothy seed | $7 | $11 |\n| Peas | $6 | $8 |\n| Canola | $10 | $12 |\n| Potatoes | $6 | $6 |" } ] }, { "id": "37545", "image": "37545.png", "conversations": [ { "from": "human", "question": "Some teachers compared how many students are in their classes. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n20, 13, 17, 20, 17, 17, 13\n\nFirst, arrange the numbers from least to greatest:\n\n13, 13, 17, 17, 17, 20, 20\n\nNow count how many times each number appears.\n\n13 appears 2 times.\n17 appears 3 times.\n20 appears 2 times.\n\nThe number that appears most often is 17.\n\nThe mode is 17.", "answer": "17", "table": "**Class size**\n\n| Teacher | Number of students |\n| --- | --- |\n| Mrs. King | 20 |\n| Mrs. Truman | 13 |\n| Ms. Katz | 17 |\n| Mr. Clay | 20 |\n| Mr. Watson | 17 |\n| Mr. Chen | 17 |\n| Mrs. Novak | 13 |" } ] }, { "id": "37547", "image": "37547.png", "conversations": [ { "from": "human", "question": "Liz jotted down how many minutes she spent practicing soccer in the past 5 days. How many more minutes did Liz practice on Sunday than on Monday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nSunday: 214\nMonday: 110\n\nNow subtract: 214 - 110 = 104.\n\nLiz practiced 104 more minutes on Sunday.", "answer": "104", "table": "**Minutes spent practicing**\n\n| Day | Minutes |\n| --- | --- |\n| Sunday | 214 |\n| Monday | 110 |\n| Tuesday | 177 |\n| Wednesday | 154 |\n| Thursday | 143 |" } ] }, { "id": "37556", "image": "37556.png", "conversations": [ { "from": "human", "question": "An amusement park manager looked up the number of ride tickets sold in the past 4 days. On which day did the amusement park sell the fewest tickets?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 119.\n\nNow find the corresponding day. Thursday corresponds to 119.", "answer": "Thursday", "table": "**Tickets sold**\n\n| Day | Number of tickets |\n| --- | --- |\n| Wednesday | 188 |\n| Thursday | 119 |\n| Friday | 148 |\n| Saturday | 184 |" } ] }, { "id": "37559", "image": "37559.png", "conversations": [ { "from": "human", "question": "Brett, who has five different fruit trees growing in his yard, kept track of how many pieces of fruit he picked this year. What fraction of the pieces of fruit picked were pears? Simplify your answer.\n" }, { "from": "gpt", "solution": "Find how many pears were picked.\n\n55\n\nFind how many pieces of fruit were picked in total.\n\n41 + 100 + 71 + 13 + 55 = 280\n\nDivide 55 by280.\n\n\\frac{55}{280}\n\nReduce the fraction.\n\n\\frac{55}{280} → \\frac{11}{56}\n\n\\frac{11}{56} of pears were picked.", "answer": "11/56", "table": "**Pieces of fruit picked**\n\n| Fruits | Pieces of fruit |\n| --- | --- |\n| Lemons | 41 |\n| Nectarines | 100 |\n| Apples | 71 |\n| Plums | 13 |\n| Pears | 55 |" } ] }, { "id": "37564", "image": "37564.png", "conversations": [ { "from": "human", "question": "While looking through an almanac at the library, Emma noticed some data showing the population density of various states. How many people per square mile lived in New Mexico in 2000?\n" }, { "from": "gpt", "solution": "First, find the row for New Mexico. Then find the number in the 2000 column.\n\nThis number is 15. In 2000, New Mexico had 15 people per square mile.", "answer": "15", "table": "**Population per square mile**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| State | 1990 | 2000 |\n| New Mexico | 12 | 15 |\n| Nevada | 10 | 18 |\n| Wyoming | 4 | 5 |\n| North Dakota | 9 | 9 |\n| Montana | 5 | 6 |" } ] }, { "id": "37573", "image": "37573.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Leah got on the train at Springfield at 1.30 P.M. What time will she get to Lanberry?\n" }, { "from": "gpt", "solution": "Find 1:30 P. M. in the row for Springfield. That column shows the schedule for the train that Leah is on.\n\nLook down the column until you find the row for Lanberry.\n\nLeah will get to Lanberry at 2:00 P. M.", "answer": "2:00 P.M.", "table": "**Train schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 |\n| --- | --- | --- | --- |\n| Somerville | 8:00 A.M. | 10:15 A.M. | 10:30 A.M. |\n| Summerfield | 9:00 A.M. | 11:15 A.M. | 11:30 A.M. |\n| Springfield | 11:00 A.M. | 1:15 P.M. | 1:30 P.M. |\n| Lanberry | 11:30 A.M. | 1:45 P.M. | 2:00 P.M. |\n| Riverside | 1:15 P.M. | 3:30 P.M. | 3:45 P.M. |\n| Stafford | 1:45 P.M. | 4:00 P.M. | 4:15 P.M. |\n| Yardley | 3:30 P.M. | 5:45 P.M. | 6:00 P.M. |" } ] }, { "id": "37579", "image": "37579.png", "conversations": [ { "from": "human", "question": "Sarah looked at the dates of the digital photos on her computer to find out how many she had taken in the past 4 days. On which day did Sarah take the most photographs?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 87.\n\nNow find the corresponding day. Friday corresponds to 87.", "answer": "Friday", "table": "**Photographs taken**\n\n| Day | Number of photographs |\n| --- | --- |\n| Wednesday | 86 |\n| Thursday | 84 |\n| Friday | 87 |\n| Saturday | 81 |" } ] }, { "id": "37581", "image": "37581.png", "conversations": [ { "from": "human", "question": "Seth kept a log of how many minutes he spent practicing ice hockey over the past 4 days. On which day did Seth practice the most?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 396.\n\nNow find the corresponding day. Wednesday corresponds to 396.", "answer": "Wednesday", "table": "**Minutes spent practicing**\n\n| Day | Minutes |\n| --- | --- |\n| Tuesday | 363 |\n| Wednesday | 396 |\n| Thursday | 339 |\n| Friday | 369 |" } ] }, { "id": "37584", "image": "37584.png", "conversations": [ { "from": "human", "question": "While looking through an almanac at the library, Carson noticed some data showing the population density of various states. In 1990, how many more people per square mile lived in South Dakota than in Wyoming?\n" }, { "from": "gpt", "solution": "Find the 1990 column. Find the numbers in this column for South Dakota and Wyoming.\n\nSouth Dakota: 9\nWyoming: 4\n\nNow subtract:\n\n9 − 4 = 5\n\nIn 1990, 5 more people per square mile lived in South Dakota than in Wyoming.", "answer": "5", "table": "**Population per square mile**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| State | 1990 | 2000 |\n| South Dakota | 9 | 10 |\n| Idaho | 12 | 15 |\n| New Mexico | 12 | 15 |\n| Wyoming | 4 | 5 |" } ] }, { "id": "37586", "image": "37586.png", "conversations": [ { "from": "human", "question": "How much would it cost to buy 9/10 of a pound of gummy bears?\n" }, { "from": "gpt", "solution": "Find the cost of the gummy bears. Multiply the price per pound by the number of pounds.\n$4 × \\frac{9}{10} = $4 × 0.9 = $3.60\nIt would cost $3.60.", "answer": "3.60", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| granola bars | $3/lb |\n| gummy bears | $4/lb |\n| dried berries | $7/lb |\n| trail mix | $6/lb |" } ] }, { "id": "37597", "image": "37597.png", "conversations": [ { "from": "human", "question": "How much more does a bottle of olive oil cost than a jar of peanut butter?\n" }, { "from": "gpt", "solution": "Subtract the price of a jar of peanut butter from the price of a bottle of olive oil.\n\n$5.39 - $3.30 = $2.09\n\nA bottle of olive oil costs $2.09 more than a jar of peanut butter.", "answer": "2.09", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| bottle of olive oil | $5.39 |\n| jar of peanut butter | $3.30 |\n| bottle of chocolate syrup | $1.35 |\n| bottle of vegetable oil | $3.76 |\n| bottle of mustard | $1.51 |\n| jar of salsa | $2.18 |" } ] }, { "id": "37600", "image": "37600.png", "conversations": [ { "from": "human", "question": "For a math assignment, Lee researched the scores of the people competing on his favorite quiz show. How many people scored at least 30 points but fewer than 50 points?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 3 and 4.\n\nYou counted 7 leaves, which are blue in the stem-and-leaf plot above. 7 people scored at least 30 points but fewer than 50 points.", "answer": "7", "table": "**Quiz show scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 3, 4, 6, 8 |\n| 3 | 2, 7, 8, 8, 9 |\n| 4 | 0, 7 |\n| 5 | 0, 7 |\n| 6 | 3, 4, 8 |" } ] }, { "id": "37614", "image": "37614.png", "conversations": [ { "from": "human", "question": "Look at this table. Is this relation a function?\n" }, { "from": "gpt", "solution": "Look at the x-values in the table.\n\nThe x-value 4 is paired with multiple y-values, so the relation is not a function.", "answer": "no", "table": "| x | y |\n| --- | --- |\n| 4 | 2 |\n| 6 | 4 |\n| 4 | 9 |" } ] }, { "id": "37623", "image": "37623.png", "conversations": [ { "from": "human", "question": "Linda's classmates revealed how many science articles they read. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 5, 6, 7, 7, 6, 7, 7\n\nFirst, arrange the numbers from least to greatest:\n\n5, 6, 6, 6, 7, 7, 7, 7\n\nNow count how many times each number appears.\n\n5 appears 1 time.\n6 appears 3 times.\n7 appears 4 times.\n\nThe number that appears most often is 7.\n\nThe mode is 7.", "answer": "7", "table": "**Science articles read**\n\n| Name | Number of science articles |\n| --- | --- |\n| Linda | 6 |\n| Josiah | 5 |\n| Sadie | 6 |\n| Rob | 7 |\n| Celine | 7 |\n| Ernest | 6 |\n| Katie | 7 |\n| Diane | 7 |" } ] }, { "id": "37625", "image": "37625.png", "conversations": [ { "from": "human", "question": "Look at this table. Is this relation a function?\n" }, { "from": "gpt", "solution": "Look at the x-values in the table.\n\nEach of the x-values is paired with only one y-value, so the relation is a function.", "answer": "yes", "table": "| x | y |\n| --- | --- |\n| 18 | 6 |\n| 12 | 12 |\n| 7 | 3 |" } ] }, { "id": "37635", "image": "37635.png", "conversations": [ { "from": "human", "question": "How much money does Layla need to buy 7 cockatiels?\n" }, { "from": "gpt", "solution": "Find the total cost of 7 cockatiels by multiplying 7 times the price of a cockatiel.\n\n$1,027.00 × 7 = $7,189.00\n\nLayla needs $7,189.00.", "answer": "7,189", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| macaw | $5,320.00 |\n| cockatiel | $1,027.00 |\n| llama | $1,176.00 |\n| parrot | $1,740.00 |\n| alpaca | $2,514.00 |\n| python | $5,570.00 |" } ] }, { "id": "37639", "image": "37639.png", "conversations": [ { "from": "human", "question": "Malia has $118. Does she have enough to buy a tennis ticket and a hockey ticket?\n" }, { "from": "gpt", "solution": "Add the price of a tennis ticket and the price of a hockey ticket:\n\n$96 + $25 = $121\n\n$121 is more than $118. Malia does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| tennis ticket | $96 |\n| football ticket | $82 |\n| basketball ticket | $75 |\n| soccer ticket | $70 |\n| golf ticket | $72 |\n| hockey ticket | $25 |" } ] }, { "id": "37642", "image": "37642.png", "conversations": [ { "from": "human", "question": "After a scavenger hunt, a team counted the number of pine cones found by each of its members. How many people are there in all?\n" }, { "from": "gpt", "solution": "Add the frequencies for each row.\n\nAdd:\n\n15 + 4 + 8 + 0 = 27\n\nThere are 27 people in all.", "answer": "27", "table": "**Finding pine cones**\n\n| Pine cones found | Frequency |\n| --- | --- |\n| 1 | 15 |\n| 2 | 4 |\n| 3 | 8 |\n| 4 | 0 |" } ] }, { "id": "37643", "image": "37643.png", "conversations": [ { "from": "human", "question": "Robert is shopping for a new bicycle. He is most interested in color and type of tires. What is the probability that a randomly selected bike has road bike tires and is red? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the bike has road bike tires\" and B be the event \"the bike is red\".\nTo find the probability that a bike has road bike tires and is red, first identify the sample space and the event.\nThe outcomes in the sample space are the different bikes. Each bike is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the bike has road bike tires and is red\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the bike has road bike tires and is red\", so look at the table to see how many bikes have road bike tires and are a red.\nThe number of bikes that have road bike tires and are a red is 4.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of bikes.\n4 + 1 + 3 + 4 = 12\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{4}{12}\n = \\frac{1}{3}\nThe probability that a bike has road bike tires and is red is \\frac{1}{3}.", "answer": "1/3", "table": "| | Red | Green |\n| --- | --- | --- |\n| Road bike tires | 4 | 3 |\n| Mountain bike tires | 1 | 4 |" } ] }, { "id": "37647", "image": "37647.png", "conversations": [ { "from": "human", "question": "A researcher recorded the number of cows on each farm in the county. How many farms have at least 70 cows but fewer than 100 cows?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 7, 8, and 9.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 farms have at least 70 cows but fewer than 100 cows.", "answer": "3", "table": "**Cows per farm**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 0, 2, 2, 3, 9 |\n| 4 | 2, 6 |\n| 5 | 4 |\n| 6 | 3 |\n| 7 | 8 |\n| 8 | 8 |\n| 9 | 0 |" } ] }, { "id": "37651", "image": "37651.png", "conversations": [ { "from": "human", "question": "This morning, Mr. Jackson released the scores from last week's spelling test. What is the lowest score?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 2.\n\nNow find the lowest leaf in the first row. The lowest leaf is 4.\n\nThe lowest score has a stem of 2 and a leaf of 4. Write the stem first, then the leaf: 24.\n\nThe lowest score is 24 points.", "answer": "24", "table": "**Spelling test scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 4, 4 |\n| 3 | 1, 3, 8, 9 |\n| 4 | 0, 5, 9 |\n| 5 | 7, 8 |\n| 6 | 3, 9, 9 |" } ] }, { "id": "37655", "image": "37655.png", "conversations": [ { "from": "human", "question": "While looking through an almanac at the library, Hazel noticed some data showing the population density of various states. In 1990, which of the states shown had the most people per square mile?\n" }, { "from": "gpt", "solution": "Look at the numbers in the 1990 column. Find the greatest number in this column.\n\nThe greatest number is 10, which is in the Nevada row. In 1990, Nevada had the most people per square mile.", "answer": "Nevada", "table": "**Population per square mile**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| State | 1990 | 2000 |\n| North Dakota | 9 | 9 |\n| Nevada | 10 | 18 |\n| Montana | 5 | 6 |\n| South Dakota | 9 | 10 |" } ] }, { "id": "37662", "image": "37662.png", "conversations": [ { "from": "human", "question": "Martin wants to buy 5 kilograms of dried pear and 5 kilograms of raisins. How much will he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the dried pear. Multiply:\n\n$2.35 × 5 = $11.75\n\nFind the cost of the raisins. Multiply:\n\n$3 × 5 = $15\n\nNow find the total cost by adding:\n\n$11.75 + $15 = $26.75\n\nHe will spend $26.75.", "answer": "26.75", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| dried mango | $2.48 per kilogram |\n| dried pear | $2.35 per kilogram |\n| dried pineapple | $2.91 per kilogram |\n| raisins | $3.00 per kilogram |" } ] }, { "id": "37663", "image": "37663.png", "conversations": [ { "from": "human", "question": "A researcher recorded the number of cows on each farm in the county. How many farms have at least 30 cows but fewer than 60 cows?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 3, 4, and 5.\n\nYou counted 13 leaves, which are blue in the stem-and-leaf plot above. 13 farms have at least 30 cows but fewer than 60 cows.", "answer": "13", "table": "**Cows per farm**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 4, 5 |\n| 2 | 7, 9 |\n| 3 | 1, 6, 6 |\n| 4 | 0, 2, 3, 6, 8, 9, 9 |\n| 5 | 1, 4, 7 |\n| 6 | 2, 4, 5, 8, 8 |\n| 7 | 3, 7 |" } ] }, { "id": "37664", "image": "37664.png", "conversations": [ { "from": "human", "question": "Sasha has $24.42. How much money will Sasha have left if she buys a hammer and a can of paint?\n" }, { "from": "gpt", "solution": "Find the total cost of a hammer and a can of paint.\n\n$6.04 + $9.56 = $15.60\n\nNow subtract the total cost from the starting amount.\n\n$24.42 - $15.60 = $8.82\n\nSasha will have $8.82 left.", "answer": "8.82", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| hammer | $6.04 |\n| can of paint | $9.56 |\n| padlock | $7.65 |\n| wrench | $6.46 |" } ] }, { "id": "37668", "image": "37668.png", "conversations": [ { "from": "human", "question": "Ted counted all the beads in each necklace at the jewelry store where he works. What is the largest number of beads?\n" }, { "from": "gpt", "solution": "Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 7.\n\nNow find the highest leaf in the last row. The highest leaf is 2.\n\nThe largest number of beads has a stem of 7 and a leaf of 2. Write the stem first, then the leaf: 72.\n\nThe largest number of beads is 72 beads.", "answer": "72", "table": "**Beads per necklace**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 3, 5, 9, 9 |\n| 2 | |\n| 3 | 2 |\n| 4 | 5 |\n| 5 | 3 |\n| 6 | 5, 5 |\n| 7 | 2 |" } ] }, { "id": "37670", "image": "37670.png", "conversations": [ { "from": "human", "question": "If Donald buys 4 pounds of fender washers and 5 pounds of lock washers, how much will he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the fender washers. Multiply:\n\n$5.53 × 4 = $22.12\n\nFind the cost of the lock washers. Multiply:\n\n$5.05 × 5 = $25.25\n\nNow find the total cost by adding:\n\n$22.12 + $25.25 = $47.37\n\nHe will spend $47.37.", "answer": "47.37", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| star washers | $7.59/pound |\n| fender washers | $5.53/pound |\n| square washers | $7.24/pound |\n| lock washers | $5.05/pound |\n| dock washers | $7.14/pound |" } ] }, { "id": "37673", "image": "37673.png", "conversations": [ { "from": "human", "question": "To figure out how many vacation days she had left to use, Abby looked over her old calendars to figure out how many days of vacation she had taken each year. According to the table, what was the rate of change between 2014 and 2015?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{34 vacation days - 39 vacation days}{2015 - 2014}\n = \\frac{34 vacation days - 39 vacation days}{1 year}\n = \\frac{-5 vacation days}{1 year}\n = -5 vacation days per year\nThe rate of change between 2014 and 2015 was - 5 vacation days per year.", "answer": "-5", "table": "**Vacation days taken by Abby**\n\n| Year | Vacation days |\n| --- | --- |\n| 2013 | 26 |\n| 2014 | 39 |\n| 2015 | 34 |\n| 2016 | 39 |\n| 2017 | 26 |" } ] }, { "id": "37685", "image": "37685.png", "conversations": [ { "from": "human", "question": "Matt tracked the attendance at the school play. How many more people attended the play on Saturday than on Friday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nSaturday: 6,578\nFriday: 2,136\n\nNow subtract: 6,578 - 2,136 = 4,442.\n\n4,442 more people attended the play on Saturday.", "answer": "4,442", "table": "**Tickets sold**\n\n| Day | Number of tickets |\n| --- | --- |\n| Friday | 2,136 |\n| Saturday | 6,578 |\n| Sunday | 8,187 |\n| Monday | 5,009 |" } ] }, { "id": "37688", "image": "37688.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $990, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $990, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $710 | 18,000 | 5,200 |\n| $850 | 16,000 | 9,100 |\n| $990 | 14,000 | 13,000 |\n| $1,130 | 12,000 | 16,900 |\n| $1,270 | 10,000 | 20,800 |" } ] }, { "id": "37694", "image": "37694.png", "conversations": [ { "from": "human", "question": "The houses in Ava's town get their water from a local reservoir. Ava and a group of engineers monitor the water level for safety and health reasons. The change in water level over two months is shown in the table. During which month did the water level change more?\n" }, { "from": "gpt", "solution": "A positive change means the water level went up. A negative change means the water level went down.\nTo find the month the water level changed more, use absolute value. Absolute value tells you how much the water level changed each month.\nApril: |-6| = 6\nMay: |4| = 4\nThe water level went down 6 inches in April, and it only went up 4 inches in May. The water level changed more in April.", "answer": "April", "table": "| Month | Change in water level (in.) |\n| --- | --- |\n| April | -6 |\n| May | 4 |" } ] }, { "id": "37696", "image": "37696.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{7 - 1}{7 - 6}\n = \\frac{6}{1}\n = 6\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the second row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{13 - 7}{8 - 7}\n = \\frac{6}{1}\n = 6\nThe two rates of change are the same.\nIf you checked the rate of change between rows 1 and 3, you would find that it is also 6.\nThis means the rate of change is the same for each pair of points. So, the function has a constant rate of change.\nThe function is linear.", "answer": "linear", "table": "| x | y |\n| --- | --- |\n| 6 | 1 |\n| 7 | 7 |\n| 8 | 13 |" } ] }, { "id": "37697", "image": "37697.png", "conversations": [ { "from": "human", "question": "Several people compared how many Web pages they had visited. How many more Web pages did Hanson visit than Joe?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nHanson: 3,532\nJoe: 1,083\n\nNow subtract: 3,532 - 1,083 = 2,449.\n\nHanson visited 2,449 more Web pages than Joe.", "answer": "2,449", "table": "**Web pages visited**\n\n| Person | Number of Web pages |\n| --- | --- |\n| Allie | 2,084 |\n| Hanson | 3,532 |\n| Finn | 4,988 |\n| Joe | 1,083 |" } ] }, { "id": "37698", "image": "37698.png", "conversations": [ { "from": "human", "question": "Hannah kept track of the number of characters in each book she read. How many books had at least 30 characters but fewer than 50 characters?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 3 and 4.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 books had at least 30 characters but fewer than 50 characters.", "answer": "4", "table": "**Characters per book**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 4, 5, 7, 9 |\n| 2 | 0, 0, 1, 1, 2 |\n| 3 | 0, 3, 8 |\n| 4 | 9 |\n| 5 | 4, 5, 7 |" } ] }, { "id": "37701", "image": "37701.png", "conversations": [ { "from": "human", "question": "Look at this table. Is this relation a function?\n" }, { "from": "gpt", "solution": "Look at the x-values in the table.\n\nThe x-value 9 is paired with multiple y-values, so the relation is not a function.", "answer": "no", "table": "| x | y |\n| --- | --- |\n| 9 | 13 |\n| 8 | 1 |\n| 15 | 0 |\n| 9 | 6 |" } ] }, { "id": "37708", "image": "37708.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $180, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $180, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $130 | 14,500 | 3,600 |\n| $180 | 11,500 | 6,000 |\n| $230 | 8,500 | 8,400 |\n| $280 | 5,500 | 10,800 |\n| $330 | 2,500 | 13,200 |" } ] }, { "id": "37718", "image": "37718.png", "conversations": [ { "from": "human", "question": "A researcher recorded the number of cows on each farm in the county. What is the smallest number of cows?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 1.\n\nNow find the lowest leaf in the first row. The lowest leaf is 1.\n\nThe smallest number of cows has a stem of 1 and a leaf of 1. Write the stem first, then the leaf: 11.\n\nThe smallest number of cows is 11 cows.", "answer": "11", "table": "**Cows per farm**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1, 7 |\n| 2 | |\n| 3 | 0, 6 |\n| 4 | 0, 7 |" } ] }, { "id": "37719", "image": "37719.png", "conversations": [ { "from": "human", "question": "A furniture store kept a record of how many couches it sold each day. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 6, 7, 6, 4, 9, 9\n\nFirst, arrange the numbers from least to greatest:\n\n4, 6, 6, 7, 9, 9, 9\n\nNow find the number in the middle.\n\n4, 6, 6, 7, 9, 9, 9\n\nThe number in the middle is 7.\n\nThe median is 7.", "answer": "7", "table": "**Couches sold**\n\n| Day | Number of couches |\n| --- | --- |\n| Monday | 9 |\n| Tuesday | 6 |\n| Wednesday | 7 |\n| Thursday | 6 |\n| Friday | 4 |\n| Saturday | 9 |\n| Sunday | 9 |" } ] }, { "id": "37722", "image": "37722.png", "conversations": [ { "from": "human", "question": "Derek has $0.13. Does he have enough to buy a spiral snail shell and a pink and white striped shell?\n" }, { "from": "gpt", "solution": "Add the price of a spiral snail shell and the price of a pink and white striped shell:\n\n$0.05 + $0.07 = $0.12\n\n$0.12 is less than $0.13. Derek does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| purple clam shell | $0.07 |\n| white spindle shell | $0.07 |\n| spiral snail shell | $0.05 |\n| scallop shell | $0.01 |\n| pink and white striped shell | $0.07 |" } ] }, { "id": "37727", "image": "37727.png", "conversations": [ { "from": "human", "question": "While doing a project for P. E. class, Kendra researched the number of athletes competing in an international sporting event. How many countries have at least 10 athletes?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1, 2, 3, 4, 5, 6, 7, 8, and 9.\n\nYou counted 16 leaves, which are blue in the stem-and-leaf plot above. 16 countries have at least 10 athletes.", "answer": "16", "table": "**Athletes per country**\n\n| Stem | Leaf |\n| --- | --- |\n| 0 | 8 |\n| 1 | 4, 7 |\n| 2 | 4, 6 |\n| 3 | 5 |\n| 4 | 1 |\n| 5 | 1, 4, 6, 8 |\n| 6 | 1 |\n| 7 | 0, 2, 9 |\n| 8 | 3 |\n| 9 | 0 |" } ] }, { "id": "37735", "image": "37735.png", "conversations": [ { "from": "human", "question": "Chad looked at the dates of the digital photos on his computer to find out how many he had taken in the past 5 days. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 0, 8, 3, 8\n\nFirst, count how many numbers are in the group.\n\nThere are 5 numbers.\n\nNow add all the numbers together:\n\n6 + 0 + 8 + 3 + 8 = 25\n\nNow divide the sum by the number of numbers:\n\n25 ÷ 5 = 5\n\nThe mean is 5.", "answer": "5", "table": "**Photographs taken**\n\n| Day | Number of photographs |\n| --- | --- |\n| Saturday | 6 |\n| Sunday | 0 |\n| Monday | 8 |\n| Tuesday | 3 |\n| Wednesday | 8 |" } ] }, { "id": "37736", "image": "37736.png", "conversations": [ { "from": "human", "question": "How much money does Betty need to buy a yellow skirt and a plaid scarf?\n" }, { "from": "gpt", "solution": "Add the price of a yellow skirt and the price of a plaid scarf:\n\n$9 + $6 = $15\n\nBetty needs $15.", "answer": "15", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| orange T-shirt | $5 |\n| blue tank top | $7 |\n| plaid scarf | $6 |\n| striped shirt | $3 |\n| yellow skirt | $9 |\n| purple T-shirt | $1 |" } ] }, { "id": "37759", "image": "37759.png", "conversations": [ { "from": "human", "question": "The teachers at a middle school counted how many computers they had in their classrooms. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n3, 10, 9, 10, 9, 2, 10\n\nFirst, arrange the numbers from least to greatest:\n\n2, 3, 9, 9, 10, 10, 10\n\nNow find the number in the middle.\n\n2, 3, 9, 9, 10, 10, 10\n\nThe number in the middle is 9.\n\nThe median is 9.", "answer": "9", "table": "**Computers in classrooms**\n\n| Teacher | Number of computers |\n| --- | --- |\n| Mr. Morales | 3 |\n| Ms. Rojas | 10 |\n| Mrs. Tan | 9 |\n| Mrs. Jansen | 10 |\n| Mr. Lim | 9 |\n| Mr. Watson | 2 |\n| Miss Murphy | 10 |" } ] }, { "id": "37761", "image": "37761.png", "conversations": [ { "from": "human", "question": "How much money does Larry need to buy a sheet of bright yellow paper and a piece of polka-dotted paper?\n" }, { "from": "gpt", "solution": "Add the price of a sheet of bright yellow paper and the price of a piece of polka-dotted paper:\n\n$0.06 + $0.02 = $0.08\n\nLarry needs $0.08.", "answer": "0.08", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pale purple note card | $0.06 |\n| sheet of bright yellow paper | $0.06 |\n| piece of polka-dotted paper | $0.02 |\n| bright blue note card | $0.02 |\n| orange envelope | $0.08 |\n| sheet of shiny silver paper | $0.09 |" } ] }, { "id": "37762", "image": "37762.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. How long does it take to get from the history museum to the art gallery district?\n" }, { "from": "gpt", "solution": "Read the times in the first column for the history museum and the art gallery district.\n\nFind the elapsed time between 10:45 A. M. and 1:00 P. M. The elapsed time is 2 hours and 15 minutes.\n\nNo matter which column of times you look at, the elapsed time is always 2 hours and 15 minutes.", "answer": "2 hours and 15 minutes", "table": "**Subway train schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 | Column 5 | Column 6 |\n| --- | --- | --- | --- | --- | --- |\n| civic center | 9:45 A.M. | 10:00 A.M. | 10:15 A.M. | 10:30 A.M. | 10:45 A.M. |\n| history museum | 10:45 A.M. | 11:00 A.M. | 11:15 A.M. | 11:30 A.M. | 11:45 A.M. |\n| university | 11:45 A.M. | 12:00 P.M. | 12:15 P.M. | 12:30 P.M. | 12:45 P.M. |\n| city park | 12:00 P.M. | 12:15 P.M. | 12:30 P.M. | 12:45 P.M. | 1:00 P.M. |\n| art gallery district | 1:00 P.M. | 1:15 P.M. | 1:30 P.M. | 1:45 P.M. | 2:00 P.M. |" } ] }, { "id": "37766", "image": "37766.png", "conversations": [ { "from": "human", "question": "An economist tracked the amount of per-capita aid sent from the U.S. to various countries during the 1900s. In 1975, how much more aid per capita did Pakistan receive than Afghanistan?\n" }, { "from": "gpt", "solution": "Find the 1975 column. Find the numbers in this column for Pakistan and Afghanistan.\n\nPakistan: $9.00\nAfghanistan: $5.00\n\nNow subtract:\n\n$9.00 − $5.00 = $4.00\n\nIn 1975, Pakistan received $4 more aid per capita than Afghanistan received.", "answer": "4", "table": "**Aid received per capita from the U.S.**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 1975 | 1985 |\n| Pakistan | $9 | $8 |\n| Afghanistan | $5 | $1 |\n| Nepal | $3 | $14 |" } ] }, { "id": "37774", "image": "37774.png", "conversations": [ { "from": "human", "question": "Each van has 2 people. How many people are in 3 vans?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 6 people in 3 vans.", "answer": "6", "table": "| Number of vans | Number of people |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | ? |" } ] }, { "id": "37776", "image": "37776.png", "conversations": [ { "from": "human", "question": "For Earth Day, Hampton High's environmental club tracked the number of seeds planted by its members. How many members planted at least 4 seeds?\n" }, { "from": "gpt", "solution": "Find the rows for 4, 5, and 6 seeds. Add the frequencies for these rows.\n\nAdd:\n\n12 + 10 + 9 = 31\n\n31 members planted at least 4 seeds.", "answer": "31", "table": "**Planting seeds in the garden**\n\n| Seeds planted | Frequency |\n| --- | --- |\n| 0 | 3 |\n| 1 | 14 |\n| 2 | 0 |\n| 3 | 20 |\n| 4 | 12 |\n| 5 | 10 |\n| 6 | 9 |" } ] }, { "id": "37780", "image": "37780.png", "conversations": [ { "from": "human", "question": "A grocery store monitored how many paper bags were used in the past 4 days. On which day did the grocery store use the fewest paper bags?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 412.\n\nNow find the corresponding day. Monday corresponds to 412.", "answer": "Monday", "table": "**Paper bags used**\n\n| Day | Number of paper bags |\n| --- | --- |\n| Sunday | 421 |\n| Monday | 412 |\n| Tuesday | 424 |\n| Wednesday | 441 |" } ] }, { "id": "37789", "image": "37789.png", "conversations": [ { "from": "human", "question": "Each glass has 10 ice cubes. How many ice cubes are in 4 glasses?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 40 ice cubes in 4 glasses.", "answer": "40", "table": "| Number of glasses | Number of ice cubes |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | ? |" } ] }, { "id": "37793", "image": "37793.png", "conversations": [ { "from": "human", "question": "Devon wrote down how many cups of lemonade she sold in the past 5 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n39, 45, 49, 46, 46\n\nFirst, find the greatest number. The greatest number is 49.\n\nNext, find the least number. The least number is 39.\n\nSubtract the least number from the greatest number:\n\n49 − 39 = 10\n\nThe range is 10.", "answer": "10", "table": "**Cups of lemonade sold**\n\n| Day | Number of cups |\n| --- | --- |\n| Sunday | 39 |\n| Monday | 45 |\n| Tuesday | 49 |\n| Wednesday | 46 |\n| Thursday | 46 |" } ] }, { "id": "37798", "image": "37798.png", "conversations": [ { "from": "human", "question": "Each tank has 2 orange fish. How many orange fish are in 4 tanks?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 8 orange fish in 4 tanks.", "answer": "8", "table": "| Number of tanks | Number of orange fish |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | 6 |\n| 4 | ? |" } ] }, { "id": "37802", "image": "37802.png", "conversations": [ { "from": "human", "question": "Some pizza restaurants compared their pizza sales. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n78, 88, 73, 87, 61, 66, 72\n\nFirst, count how many numbers are in the group.\n\nThere are 7 numbers.\n\nNow add all the numbers together:\n\n78 + 88 + 73 + 87 + 61 + 66 + 72 = 525\n\nNow divide the sum by the number of numbers:\n\n525 ÷ 7 = 75\n\nThe mean is 75.", "answer": "75", "table": "**Pizza slices sold**\n\n| Restaurant | Number of slices sold |\n| --- | --- |\n| Pizza Italia | 78 |\n| The Big Cheese | 88 |\n| Taste of New York | 73 |\n| Antonio's Pizzeria | 87 |\n| Pizzeria Italiano | 61 |\n| Mario's Pizzeria | 66 |\n| Pizzas Only | 72 |" } ] }, { "id": "37815", "image": "37815.png", "conversations": [ { "from": "human", "question": "A statistician analyzed the number of runs scored by players last season. How many players scored more than 2 runs last season?\n" }, { "from": "gpt", "solution": "Find the rows for 3 and 4 runs last season. Add the frequencies for these rows.\n\nAdd:\n\n14 + 10 = 24\n\n24 players scored more than 2 runs last season.", "answer": "24", "table": "**Baseball runs scored last season**\n\n| Runs scored | Frequency |\n| --- | --- |\n| 0 | 8 |\n| 1 | 0 |\n| 2 | 7 |\n| 3 | 14 |\n| 4 | 10 |" } ] }, { "id": "37819", "image": "37819.png", "conversations": [ { "from": "human", "question": "How much money does Bella need to buy a tulip stamp and a robot stamp?\n" }, { "from": "gpt", "solution": "Add the price of a tulip stamp and the price of a robot stamp:\n\n$0.06 + $0.02 = $0.08\n\nBella needs $0.08.", "answer": "0.08", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| flag stamp | $0.03 |\n| butterfly stamp | $0.04 |\n| airplane stamp | $0.05 |\n| duck stamp | $0.08 |\n| robot stamp | $0.02 |\n| tulip stamp | $0.06 |" } ] }, { "id": "37821", "image": "37821.png", "conversations": [ { "from": "human", "question": "How much money does Samantha need to buy an antique wicker chair and an antique marbletop vanity?\n" }, { "from": "gpt", "solution": "Add the price of an antique wicker chair and the price of an antique marbletop vanity:\n\n$867 + $802 = $1,669\n\nSamantha needs $1,669.", "answer": "1,669", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| antique elm coffee table | $375 |\n| antique wicker chair | $867 |\n| antique marbletop vanity | $802 |\n| antique hand-painted trunk | $776 |\n| antique maplewood rocking chair | $167 |\n| antique rosewood corner cabinet | $510 |" } ] }, { "id": "37835", "image": "37835.png", "conversations": [ { "from": "human", "question": "The soccer coach is preparing for the upcoming season by seeing how many goals his team members scored last season. How many team members scored exactly 1 goal last season?\n" }, { "from": "gpt", "solution": "Find the row for 1 goal last season and read the frequency. The frequency is 2.\n\n2 team members scored exactly1 goal last season.", "answer": "2", "table": "**Soccer goals last season**\n\n| Goals scored | Frequency |\n| --- | --- |\n| 0 | 11 |\n| 1 | 2 |\n| 2 | 10 |\n| 3 | 6 |\n| 4 | 4 |" } ] }, { "id": "37836", "image": "37836.png", "conversations": [ { "from": "human", "question": "How much money does Dirk need to buy 4 super laptops and a business laptop?\n" }, { "from": "gpt", "solution": "Find the cost of 4 super laptops.\n\n$9,581.00 × 4 = $38,324.00\n\nNow find the total cost.\n\n$38,324.00 + $3,716.00 = $42,040.00\n\nDirk needs $42,040.00.", "answer": "42,040", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| super laptop | $9,581.00 |\n| bright blue laptop | $7,545.00 |\n| business laptop | $3,716.00 |\n| energy-saving laptop | $6,214.00 |\n| high-tech laptop | $3,610.00 |" } ] }, { "id": "37848", "image": "37848.png", "conversations": [ { "from": "human", "question": "Natalie just returned from a spring break volunteer trip. She is shopping for a photo album that will showcase her photos from the trip. The albums range in photo capacity and orientation. What is the probability that a randomly selected photo album holds exactly 100 photos and is oriented horizontally? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the photo album holds exactly100 photos\" and B be the event \"the photo album is oriented horizontally\".\nTo find the probability that a photo album holds exactly100 photos and is oriented horizontally, first identify the sample space and the event.\nThe outcomes in the sample space are the different photo albums. Each photo album is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the photo album holds exactly100 photos and is oriented horizontally\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the photo album holds exactly100 photos and is oriented horizontally\", so look at the table to see how many photo albums hold exactly100 photos and are oriented horizontally.\nThe number of photo albums that hold exactly100 photos and are oriented horizontally is 2.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of photo albums.\n8 + 2 + 5 + 3 = 18\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{2}{18}\n = \\frac{1}{9}\nThe probability that a photo album holds exactly100 photos and is oriented horizontally is \\frac{1}{9}.", "answer": "1/9", "table": "| | Horizontally | Vertically |\n| --- | --- | --- |\n| 50 photos | 8 | 5 |\n| 100 photos | 2 | 3 |" } ] }, { "id": "37851", "image": "37851.png", "conversations": [ { "from": "human", "question": "A vendor who sold bread at farmers' markets counted the number of leftover loaves at the end of each day. According to the table, what was the rate of change between Friday and Saturday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{28 loaves - 41 loaves}{1 day}\n = \\frac{-13 loaves}{1 day}\n = -13 loaves per day\nThe rate of change between Friday and Saturday was - 13 loaves per day.", "answer": "-13", "table": "**Loaves of leftover bread**\n\n| Day | Leftover loaves |\n| --- | --- |\n| Tuesday | 24 |\n| Wednesday | 39 |\n| Thursday | 39 |\n| Friday | 41 |\n| Saturday | 28 |" } ] }, { "id": "37863", "image": "37863.png", "conversations": [ { "from": "human", "question": "For an economics project, Erin determined the cost of ferry rides for bicycles and cars. How much does it cost to take a car on the Fauntleroy-Vashon ferry?\n" }, { "from": "gpt", "solution": "First, find the row for Fauntleroy-Vashon. Then find the number in the Car column.\n\nThis number is $15.00. It costs $15 to take a car on the Fauntleroy-Vashon ferry.", "answer": "15", "table": "**Ferry fares**\n\n| Ferry | Bicycle | Car |\n| --- | --- | --- |\n| Seattle-Bremerton | $8 | $12 |\n| Southport-Fort Fisher | $2 | $5 |\n| Fauntleroy-Vashon | $5 | $15 |" } ] }, { "id": "37877", "image": "37877.png", "conversations": [ { "from": "human", "question": "How much money does Rebecca need to buy a pair of shoes and a pair of shorts?\n" }, { "from": "gpt", "solution": "Add the price of a pair of shoes and the price of a pair of shorts:\n\n$25.17 + $25.84 = $51.01\n\nRebecca needs $51.01.", "answer": "51.01", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| pair of jeans | $39.17 |\n| pair of shorts | $25.84 |\n| pair of boots | $34.61 |\n| pair of tennis shoes | $42.56 |\n| pair of shoes | $25.17 |" } ] }, { "id": "37879", "image": "37879.png", "conversations": [ { "from": "human", "question": "The town council reported on how many stop signs there are on each street. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n10, 6, 6, 10, 9, 1\n\nFirst, count how many numbers are in the group.\n\nThere are 6 numbers.\n\nNow add all the numbers together:\n\n10 + 6 + 6 + 10 + 9 + 1 = 42\n\nNow divide the sum by the number of numbers:\n\n42 ÷ 6 = 7\n\nThe mean is 7.", "answer": "7", "table": "**Stop signs**\n\n| Street | Number of stop signs |\n| --- | --- |\n| Peabody Street | 10 |\n| Jackson Street | 6 |\n| Smith Street | 6 |\n| Walker Street | 10 |\n| Irving Street | 9 |\n| Mason Street | 1 |" } ] }, { "id": "37880", "image": "37880.png", "conversations": [ { "from": "human", "question": "How much more does a bat signed by a famous baseball player cost than a photograph signed by a famous movie star?\n" }, { "from": "gpt", "solution": "Subtract the price of a photograph signed by a famous movie star from the price of a bat signed by a famous baseball player.\n\n$81 - $26 = $55\n\nA bat signed by a famous baseball player costs $55 more than a photograph signed by a famous movie star.", "answer": "55", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| photograph signed by a famous movie star | $26 |\n| skate signed by a famous figure skater | $63 |\n| bat signed by a famous baseball player | $81 |\n| DVD signed by a famous comedian | $68 |\n| photograph signed by a famous singer | $62 |\n| CD signed by a famous band | $56 |" } ] }, { "id": "37889", "image": "37889.png", "conversations": [ { "from": "human", "question": "Rosa, a journalism student, counted the number of pages in several major magazines. How many magazines had exactly 26 pages?\n" }, { "from": "gpt", "solution": "For the number 26, the stem is 2, and the leaf is 6. Find the row where the stem is 2. In that row, count all the leaves equal to 6.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 magazines had exactly26 pages.", "answer": "3", "table": "**Pages per magazine**\n\n| Stem | Leaf |\n| --- | --- |\n| 2 | 6, 6, 6 |\n| 3 | |\n| 4 | 9 |\n| 5 | 0 |\n| 6 | |\n| 7 | 3, 4, 6 |" } ] }, { "id": "37892", "image": "37892.png", "conversations": [ { "from": "human", "question": "While planning a class party, the students voted for their favorite cookies. How many more boys than girls voted for sugar?\n" }, { "from": "gpt", "solution": "Find the Sugar row. Find the numbers in this row for boys and girls.\n\nboys: 20\ngirls: 7\n\nNow subtract:\n\n20 − 7 = 13\n\n13 more boys than girls voted for sugar.", "answer": "13", "table": "**Favorite cookies**\n\n| Cookie | Girls | Boys |\n| --- | --- | --- |\n| Oatmeal | 17 | 6 |\n| Sugar | 7 | 20 |\n| Peanut butter | 13 | 1 |\n| Cinnamon | 3 | 17 |\n| Lemon | 3 | 13 |" } ] }, { "id": "37900", "image": "37900.png", "conversations": [ { "from": "human", "question": "Each cage has 10 ferrets. How many ferrets are in 4 cages?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 40 ferrets in 4 cages.", "answer": "40", "table": "| Number of cages | Number of ferrets |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | ? |" } ] }, { "id": "37902", "image": "37902.png", "conversations": [ { "from": "human", "question": "A high school basketball coach counted the number of points his team scored each game. How many games had exactly 90 points?\n" }, { "from": "gpt", "solution": "For the number 90, the stem is 9, and the leaf is 0. Find the row where the stem is 9. In that row, count all the leaves equal to 0.\n\nYou counted 1 leaf, which is blue in the stem-and-leaf plot above. 1 game had exactly 90 points.", "answer": "1", "table": "**Points per game**\n\n| Stem | Leaf |\n| --- | --- |\n| 0 | 9 |\n| 1 | |\n| 2 | |\n| 3 | |\n| 4 | 4 |\n| 5 | 8 |\n| 6 | |\n| 7 | 7 |\n| 8 | 5 |\n| 9 | 0 |" } ] }, { "id": "37908", "image": "37908.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does the discus throw end?\n" }, { "from": "gpt", "solution": "Find the discus throw on the schedule. Find the end time for the discus throw.\n\ndiscus throw: 1:45 P. M.", "answer": "1:45 P.M.", "table": "**Track meet schedule**\n\n| Event | Begin | End |\n| --- | --- | --- |\n| javelin throw | 11:00 A.M. | 11:15 A.M. |\n| steeplechase | 11:30 A.M. | 11:45 A.M. |\n| men's relay | 11:50 A.M. | 12:40 P.M. |\n| discus throw | 12:45 P.M. | 1:45 P.M. |\n| pole vault | 1:55 P.M. | 2:25 P.M. |\n| long jump | 2:40 P.M. | 3:15 P.M. |" } ] }, { "id": "37914", "image": "37914.png", "conversations": [ { "from": "human", "question": "A researcher working for a cereal company surveyed people about their cereal consumption habits. How many people did not eat cereal last week?\n" }, { "from": "gpt", "solution": "Find the row for 0 times and read the frequency. The frequency is 8.\n\n8 people did not eat cereal last week.", "answer": "8", "table": "**Eating cereal last week**\n\n| Times eaten | Frequency |\n| --- | --- |\n| 0 | 8 |\n| 1 | 18 |\n| 2 | 2 |\n| 3 | 6 |" } ] }, { "id": "37921", "image": "37921.png", "conversations": [ { "from": "human", "question": "A food industry researcher compiled the revenues of several pizzerias. Which restaurant made more from supreme pizzas, Dan's Deep Dish or Arnold's Pizzeria?\n" }, { "from": "gpt", "solution": "Find the Supreme pizzas column. Compare the numbers in this column for Dan's Deep Dish and Arnold's Pizzeria.\n\n$14.00 is more than $7.00. Arnold's Pizzeria made more from supreme pizzas.", "answer": "Arnold's Pizzeria", "table": "**Pizza sales**\n\n| Restaurant | Supreme pizzas | Pepperoni pizzas |\n| --- | --- | --- |\n| New York Slice | $8 | $7 |\n| Dan's Deep Dish | $7 | $11 |\n| Taste of New York | $12 | $20 |\n| Pizza, Pasta and More | $18 | $18 |\n| Arnold's Pizzeria | $14 | $19 |" } ] }, { "id": "37925", "image": "37925.png", "conversations": [ { "from": "human", "question": "A fashion magazine poll asks how many winter hats each reader owns. How many readers are there in all?\n" }, { "from": "gpt", "solution": "Add the frequencies for each row.\n\nAdd:\n\n2 + 9 + 3 + 10 + 13 = 37\n\nThere are 37 readers in all.", "answer": "37", "table": "**Winter hats**\n\n| Number of winter hats | Frequency |\n| --- | --- |\n| 0 | 2 |\n| 1 | 9 |\n| 2 | 3 |\n| 3 | 10 |\n| 4 | 13 |" } ] }, { "id": "37934", "image": "37934.png", "conversations": [ { "from": "human", "question": "Some companies compared how many phone calls they made. Which company made the fewest phone calls?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 114.\n\nNow find the corresponding company. Melbourne Medical Devices corresponds to 114.", "answer": "Melbourne Medical Devices", "table": "**Phone calls**\n\n| Company | Number of phone calls |\n| --- | --- |\n| Nature Now | 164 |\n| Reardon Corporation | 161 |\n| Despain Accounting | 148 |\n| Melbourne Medical Devices | 114 |" } ] }, { "id": "37943", "image": "37943.png", "conversations": [ { "from": "human", "question": "An architecture student measured the heights of all the buildings downtown. How many buildings are at least 20 meters tall?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 2, 3, and 4.\n\nYou counted 6 leaves, which are blue in the stem-and-leaf plot above. 6 buildings are at least 20 meters tall.", "answer": "6", "table": "**Building heights (meters)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 2, 5 |\n| 2 | 0, 2 |\n| 3 | 1, 2, 8 |\n| 4 | 5 |" } ] }, { "id": "37949", "image": "37949.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $245, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $245, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $245 | 15,900 | 3,000 |\n| $405 | 14,000 | 7,200 |\n| $565 | 12,100 | 11,400 |\n| $725 | 10,200 | 15,600 |\n| $885 | 8,300 | 19,800 |" } ] }, { "id": "37950", "image": "37950.png", "conversations": [ { "from": "human", "question": "Hannah has $89. Does she have enough to buy a DVD player and a radio?\n" }, { "from": "gpt", "solution": "Add the price of a DVD player and the price of a radio:\n\n$58 + $26 = $84\n\n$84 is less than $89. Hannah does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| DVD player | $58 |\n| camera | $37 |\n| cell phone | $47 |\n| radio | $26 |" } ] }, { "id": "37951", "image": "37951.png", "conversations": [ { "from": "human", "question": "Each town has 10 schools. How many schools are in 3 towns?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 30 schools in 3 towns.", "answer": "30", "table": "| Number of towns | Number of schools |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | ? |" } ] }, { "id": "37956", "image": "37956.png", "conversations": [ { "from": "human", "question": "Bernard purchased 2 kilograms of flax seeds and 4 kilograms of soybeans. What was the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the flax seeds. Multiply:\n\n$2.45 × 2 = $4.90\n\nFind the cost of the soybeans. Multiply:\n\n$0.48 × 4 = $1.92\n\nNow find the total cost by adding:\n\n$4.90 + $1.92 = $6.82\n\nThe total cost was $6.82.", "answer": "6.82", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| lentils | $0.98 per kg |\n| soybeans | $0.48 per kg |\n| pumpkin seeds | $1.05 per kg |\n| sunflower seeds | $1.34 per kg |\n| flax seeds | $2.45 per kg |" } ] }, { "id": "37962", "image": "37962.png", "conversations": [ { "from": "human", "question": "The town council reported on how many stop signs there are on each street. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 7, 8, 9, 4, 5, 7\n\nFirst, count how many numbers are in the group.\n\nThere are 7 numbers.\n\nNow add all the numbers together:\n\n9 + 7 + 8 + 9 + 4 + 5 + 7 = 49\n\nNow divide the sum by the number of numbers:\n\n49 ÷ 7 = 7\n\nThe mean is 7.", "answer": "7", "table": "**Stop signs**\n\n| Street | Number of stop signs |\n| --- | --- |\n| Walker Street | 9 |\n| Irving Street | 7 |\n| Marshall Street | 8 |\n| Jackson Street | 9 |\n| Smith Street | 4 |\n| Mason Street | 5 |\n| Spring Street | 7 |" } ] }, { "id": "37963", "image": "37963.png", "conversations": [ { "from": "human", "question": "In determining which sports to offer this season, the Dayton Community Center asked its members' children to vote for their favorite sports. How many more children voted for running than soccer?\n" }, { "from": "gpt", "solution": "Add the numbers in the Running row. Then, add the numbers in the Soccer row.\n\nrunning: 13 + 12 = 25\nsoccer: 3 + 20 = 23\n\nNow subtract:\n\n25 − 23 = 2\n\n2 more children voted for running than soccer.", "answer": "2", "table": "**Favorite sports**\n\n| Sport | Boys | Girls |\n| --- | --- | --- |\n| Golf | 10 | 5 |\n| Soccer | 3 | 20 |\n| Running | 13 | 12 |\n| Tennis | 11 | 12 |" } ] }, { "id": "37964", "image": "37964.png", "conversations": [ { "from": "human", "question": "Each bracelet has 10 glass beads. How many glass beads are on 4 bracelets?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 40 glass beads on 4 bracelets.", "answer": "40", "table": "| Number of bracelets | Number of glass beads |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | ? |" } ] }, { "id": "37966", "image": "37966.png", "conversations": [ { "from": "human", "question": "Nina buys 0.5 pounds of glass beads. What is the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the glass beads. Multiply the price per pound by the number of pounds.\n$8 × 0.5 = $4\nThe total cost is $4.", "answer": "4", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| wooden beads | $11 per pound |\n| metal beads | $12 per pound |\n| plastic beads | $7 per pound |\n| crystal beads | $4 per pound |\n| glass beads | $8 per pound |" } ] }, { "id": "37976", "image": "37976.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. When does the train depart from Wildgrove?\n" }, { "from": "gpt", "solution": "Find Wildgrove on the schedule. Find the departure time for Wildgrove.\n\nWildgrove: 2:25 P. M.", "answer": "2:25 P.M.", "table": "**Train schedule**\n\n| Location | Arrive | Depart |\n| --- | --- | --- |\n| Silvergrove | 9:25 A.M. | 9:30 A.M. |\n| Centerville | 10:30 A.M. | 10:45 A.M. |\n| Ashland | 11:40 A.M. | 11:45 A.M. |\n| Brookfield | 12:45 P.M. | 1:00 P.M. |\n| Wildgrove | 2:10 P.M. | 2:25 P.M. |\n| Arcadia | 4:25 P.M. | 4:35 P.M. |\n| Lexington | 5:50 P.M. | 6:00 P.M. |" } ] }, { "id": "37981", "image": "37981.png", "conversations": [ { "from": "human", "question": "How much money does Ariana need to buy a math book and a history book?\n" }, { "from": "gpt", "solution": "Add the price of a math book and the price of a history book:\n\n$13 + $18 = $31\n\nAriana needs $31.", "answer": "31", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| science book | $23 |\n| crossword puzzle book | $24 |\n| history book | $18 |\n| math book | $13 |\n| geography book | $21 |\n| coloring book | $17 |" } ] }, { "id": "37990", "image": "37990.png", "conversations": [ { "from": "human", "question": "A waitress kept track of how many hours she worked each day. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n8, 7, 3, 3, 3, 3, 8\n\nFirst, count how many numbers are in the group.\n\nThere are 7 numbers.\n\nNow add all the numbers together:\n\n8 + 7 + 3 + 3 + 3 + 3 + 8 = 35\n\nNow divide the sum by the number of numbers:\n\n35 ÷ 7 = 5\n\nThe mean is 5.", "answer": "5", "table": "**Hours worked**\n\n| Day | Hours |\n| --- | --- |\n| Tuesday | 8 |\n| Wednesday | 7 |\n| Thursday | 3 |\n| Friday | 3 |\n| Saturday | 3 |\n| Sunday | 3 |\n| Monday | 8 |" } ] }, { "id": "37991", "image": "37991.png", "conversations": [ { "from": "human", "question": "Jacob has $64.79. How much money will Jacob have left if he buys a cheese pizza and baked chicken?\n" }, { "from": "gpt", "solution": "Find the total cost of a cheese pizza and baked chicken.\n\n$13.83 + $18.25 = $32.08\n\nNow subtract the total cost from the starting amount.\n\n$64.79 - $32.08 = $32.71\n\nJacob will have $32.71 left.", "answer": "32.71", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| cheese pizza | $13.83 |\n| pepperoni pizza | $14.57 |\n| baked chicken | $18.25 |\n| eggplant parmesan | $12.56 |\n| lasagna | $11.13 |\n| pasta with tomato sauce | $11.12 |" } ] }, { "id": "37992", "image": "37992.png", "conversations": [ { "from": "human", "question": "Lena has $0.13. How much money will Lena have left if she buys a shapes stencil and a green bouncy ball?\n" }, { "from": "gpt", "solution": "Find the total cost of a shapes stencil and a green bouncy ball.\n\n$0.08 + $0.04 = $0.12\n\nNow subtract the total cost from the starting amount.\n\n$0.13 - $0.12 = $0.01\n\nLena will have $0.01 left.", "answer": "0.01", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| blue plastic block | $0.06 |\n| colorful pinwheel | $0.08 |\n| green marble | $0.02 |\n| shapes stencil | $0.08 |\n| green bouncy ball | $0.04 |\n| wooden block | $0.03 |" } ] }, { "id": "37997", "image": "37997.png", "conversations": [ { "from": "human", "question": "A county agency recorded the money donated to several charitable causes over time. How much money was raised for hunger in April?\n" }, { "from": "gpt", "solution": "First, find the row for hunger. Then find the number in the April column.\n\nThis number is $20.00. $20 was raised for hunger in April.", "answer": "20", "table": "**Donations received**\n\n| Cause | April | May |\n| --- | --- | --- |\n| Animals | $6 | $12 |\n| Hunger | $20 | $7 |\n| Parks | $4 | $2 |\n| Medical research | $8 | $7 |" } ] }, { "id": "38011", "image": "38011.png", "conversations": [ { "from": "human", "question": "Look at this table. Is this relation a function?\n" }, { "from": "gpt", "solution": "Look at the x-values in the table.\n\nEach of the x-values is paired with only one y-value, so the relation is a function.", "answer": "yes", "table": "| x | y |\n| --- | --- |\n| 10 | 6 |\n| 17 | 4 |\n| 5 | 8 |" } ] }, { "id": "38014", "image": "38014.png", "conversations": [ { "from": "human", "question": "A bookstore employee looked up how many books were sold each month. In which month did the bookstore sell the fewest books?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 211.\n\nNow find the corresponding month. February corresponds to 211.", "answer": "February", "table": "**Number of books sold**\n\n| Month | Number of books |\n| --- | --- |\n| December | 221 |\n| January | 248 |\n| February | 211 |\n| March | 241 |" } ] }, { "id": "38015", "image": "38015.png", "conversations": [ { "from": "human", "question": "Each fish bowl has 10 goldfish. How many goldfish are in 4 fish bowls?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 40 goldfish in 4 fish bowls.", "answer": "40", "table": "| Number of fish bowls | Number of goldfish |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | ? |" } ] }, { "id": "38022", "image": "38022.png", "conversations": [ { "from": "human", "question": "A farmer wrote down how many kilograms of cherries were sold in the past 5 days. How many kilograms of cherries in total were sold on Friday and Monday?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nFriday: 1,959\nMonday: 2,065\n\nNow add: 1,959 + 2,065 = 4,024.\n\n4,024 kilograms of cherries were sold on Friday and Monday.", "answer": "4,024", "table": "**Cherries sold**\n\n| Day | Kilograms |\n| --- | --- |\n| Thursday | 2,339 |\n| Friday | 1,959 |\n| Saturday | 1,765 |\n| Sunday | 1,220 |\n| Monday | 2,065 |" } ] }, { "id": "38033", "image": "38033.png", "conversations": [ { "from": "human", "question": "How much money does Duncan need to buy 3 apple pies?\n" }, { "from": "gpt", "solution": "Find the total cost of 3 apple pies by multiplying 3 times the price of an apple pie.\n\n$6.20 × 3 = $18.60\n\nDuncan needs $18.60.", "answer": "18.60", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| chocolate cheesecake | $8.82 |\n| almond tart | $7.70 |\n| apple tart | $7.75 |\n| cherry pie | $7.24 |\n| apple pie | $6.20 |\n| blueberry cheesecake | $9.71 |" } ] }, { "id": "38036", "image": "38036.png", "conversations": [ { "from": "human", "question": "Henry's campground is close to two hiking trails with scenic destinations. One trail ends at an underground lake in the bottom of a small cave. The other trail ends at a mountain peak. The elevation of each destination is shown on the campground map. Which trail's destination is farther from sea level?\n" }, { "from": "gpt", "solution": "The underground lake's elevation is negative, so it is below sea level. The mountain peak's elevation is positive, so it is above sea level.\nTo find the destination farther from sea level, use absolute value. Absolute value tells you how far each destination is from sea level.\nUnderground lake: |-350| = 350\nMountain peak: |325| = 325\nThe underground lake is 350 feet below sea level, and the mountain peak is only 325 feet above sea level. The underground lake is farther from sea level.", "answer": "underground lake", "table": "| Destination | Elevation (ft.) |\n| --- | --- |\n| Underground lake | -350 |\n| Mountain peak | 325 |" } ] }, { "id": "38041", "image": "38041.png", "conversations": [ { "from": "human", "question": "An agricultural agency is researching how much cheese people have been eating in different parts of the world. How much cheese was consumed per capita in Germany in 2006?\n" }, { "from": "gpt", "solution": "First, find the row for Germany. Then find the number in the 2006 column.\n\nThis number is 20. In 2006, people in Germany consumed 20 kilograms of cheese per capita.", "answer": "20", "table": "**Cheese consumption per capita (kg)**\n\n| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| Country | 1996 | 2006 |\n| Australia | 10 | 10 |\n| Canada | 10 | 11 |\n| Argentina | 11 | 11 |\n| Germany | 12 | 20 |" } ] }, { "id": "38048", "image": "38048.png", "conversations": [ { "from": "human", "question": "Emily, a candy store employee, placed peppermint candies into jars of various sizes. How many jars had exactly 51 peppermint candies?\n" }, { "from": "gpt", "solution": "For the number 51, the stem is 5, and the leaf is 1. Find the row where the stem is 5. In that row, count all the leaves equal to 1.\n\nYou counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 jars had exactly 51 peppermint candies.", "answer": "4", "table": "**Peppermint candies per jar**\n\n| Stem | Leaf |\n| --- | --- |\n| 5 | 1, 1, 1, 1, 7 |\n| 6 | |\n| 7 | 0, 8 |\n| 8 | |\n| 9 | 0 |" } ] }, { "id": "38055", "image": "38055.png", "conversations": [ { "from": "human", "question": "How much money does Akira need to buy 5 shovels and 7 mops?\n" }, { "from": "gpt", "solution": "Find the cost of 5 shovels.\n\n$9.85 × 5 = $49.25\n\nFind the cost of 7 mops.\n\n$7.63 × 7 = $53.41\n\nNow find the total cost.\n\n$49.25 + $53.41 = $102.66\n\nAkira needs $102.66.", "answer": "102.66", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| rake | $8.88 |\n| padlock | $5.37 |\n| garden hose | $8.21 |\n| broom | $9.92 |\n| shovel | $9.85 |\n| mop | $7.63 |" } ] }, { "id": "38056", "image": "38056.png", "conversations": [ { "from": "human", "question": "The bird watcher counted the number of birds in each flock that passed overhead. How many flocks had at least 10 birds but fewer than 80 birds?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1, 2, 3, 4, 5, 6, and 7.\n\nYou counted 10 leaves, which are blue in the stem-and-leaf plot above. 10 flocks had at least 10 birds but fewer than 80 birds.", "answer": "10", "table": "**Birds per flock**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0 |\n| 2 | 4 |\n| 3 | 3, 9 |\n| 4 | 0, 5 |\n| 5 | |\n| 6 | 4, 7 |\n| 7 | 8, 9 |" } ] }, { "id": "38057", "image": "38057.png", "conversations": [ { "from": "human", "question": "How much money does Darnel need to buy a black motorcycle, a red two-door coupe, and a black convertible?\n" }, { "from": "gpt", "solution": "Find the total cost of a black motorcycle, a red two-door coupe, and a black convertible.\n\n$9,734.00 + $7,702.00 + $6,084.00 = $23,520.00\n\nDarnel needs $23,520.00.", "answer": "23,520", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| red sports car | $8,473.00 |\n| black motorcycle | $9,734.00 |\n| red two-door coupe | $7,702.00 |\n| black convertible | $6,084.00 |\n| old white van | $8,178.00 |\n| dark blue hatchback | $5,038.00 |" } ] }, { "id": "38060", "image": "38060.png", "conversations": [ { "from": "human", "question": "Juan kept track of how many kilometers he walked during the past 7 days. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n3, 16, 8, 19, 15, 6, 8\n\nFirst, arrange the numbers from least to greatest:\n\n3, 6, 8, 8, 15, 16, 19\n\nNow find the number in the middle.\n\n3, 6, 8, 8, 15, 16, 19\n\nThe number in the middle is 8.\n\nThe median is 8.", "answer": "8", "table": "**Kilometers walked**\n\n| Day | Kilometers |\n| --- | --- |\n| Tuesday | 3 |\n| Wednesday | 16 |\n| Thursday | 8 |\n| Friday | 19 |\n| Saturday | 15 |\n| Sunday | 6 |\n| Monday | 8 |" } ] }, { "id": "38068", "image": "38068.png", "conversations": [ { "from": "human", "question": "Tommy has $1.34. Does he have enough to buy a whale keychain and a shell necklace?\n" }, { "from": "gpt", "solution": "Add the price of a whale keychain and the price of a shell necklace:\n\n$0.76 + $0.60 = $1.36\n\n$1.36 is more than $1.34. Tommy does not have enough money.", "answer": "no", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| beach postcard | $0.77 |\n| shell necklace | $0.60 |\n| small stuffed otter | $0.57 |\n| whale keychain | $0.76 |" } ] }, { "id": "38070", "image": "38070.png", "conversations": [ { "from": "human", "question": "The employees at Christine's Construction monitored the number of cracked window panes in each shipment they received. How many shipments had less than 40 cracked window panes?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1, 2, and 3.\n\nYou counted 12 leaves, which are blue in the stem-and-leaf plot above. 12 shipments had less than 40 cracked window panes.", "answer": "12", "table": "**Cracked window panes per shipment**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 0, 2, 4, 7, 8, 8, 8 |\n| 2 | 3, 4, 7 |\n| 3 | 1, 6 |\n| 4 | 7, 9 |\n| 5 | 1, 3, 7, 8, 8, 9 |\n| 6 | 0 |\n| 7 | 1, 2 |\n| 8 | 6 |\n| 9 | 0 |" } ] }, { "id": "38071", "image": "38071.png", "conversations": [ { "from": "human", "question": "The city recorded how many fire hydrants there are on each street. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n10, 5, 12, 8, 13, 7, 9, 10\n\nFirst, find the greatest number. The greatest number is 13.\n\nNext, find the least number. The least number is 5.\n\nSubtract the least number from the greatest number:\n\n13 − 5 = 8\n\nThe range is 8.", "answer": "8", "table": "**Fire hydrants**\n\n| Street | Number of hydrants |\n| --- | --- |\n| Aspen Street | 10 |\n| Elm Street | 5 |\n| Rose Street | 12 |\n| Cedar Street | 8 |\n| Pine Street | 13 |\n| Oak Street | 7 |\n| Maple Street | 9 |\n| Lemon Street | 10 |" } ] }, { "id": "38075", "image": "38075.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $580, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $580, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $310 | 13,300 | 1,100 |\n| $400 | 11,100 | 4,800 |\n| $490 | 8,900 | 8,500 |\n| $580 | 6,700 | 12,200 |\n| $670 | 4,500 | 15,900 |" } ] }, { "id": "38082", "image": "38082.png", "conversations": [ { "from": "human", "question": "Latrell's class paid attention to how many bottles each student collected for their recycling project. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n79, 82, 83, 80, 80, 81, 83, 78\n\nFirst, find the greatest number. The greatest number is 83.\n\nNext, find the least number. The least number is 78.\n\nSubtract the least number from the greatest number:\n\n83 − 78 = 5\n\nThe range is 5.", "answer": "5", "table": "**Bottles collected**\n\n| Name | Number of bottles |\n| --- | --- |\n| Latrell | 79 |\n| Roy | 82 |\n| Stefan | 83 |\n| Dean | 80 |\n| Herman | 80 |\n| Natalie | 81 |\n| Kenneth | 83 |\n| Paula | 78 |" } ] }, { "id": "38091", "image": "38091.png", "conversations": [ { "from": "human", "question": "The art club examined how many cookies each student baked for the bake sale. Who baked the most cookies?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 79.\n\nNow find the corresponding name. Madelyn corresponds to 79.", "answer": "Madelyn", "table": "**Cookies baked**\n\n| Name | Number of cookies |\n| --- | --- |\n| Riley | 71 |\n| Hannah | 75 |\n| Layla | 78 |\n| Madelyn | 79 |" } ] }, { "id": "38095", "image": "38095.png", "conversations": [ { "from": "human", "question": "Mrs. Jefferson told students how many rounds to expect in the spelling bee based on previous years. According to the table, what was the rate of change between 2008 and 2009?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{8 rounds - 10 rounds}{2009 - 2008}\n = \\frac{8 rounds - 10 rounds}{1 year}\n = \\frac{-2 rounds}{1 year}\n = -2 rounds per year\nThe rate of change between 2008 and 2009 was - 2 rounds per year.", "answer": "-2", "table": "**Rounds in the spelling bee**\n\n| Year | Rounds |\n| --- | --- |\n| 2007 | 10 |\n| 2008 | 10 |\n| 2009 | 8 |\n| 2010 | 15 |\n| 2011 | 9 |" } ] }, { "id": "38099", "image": "38099.png", "conversations": [ { "from": "human", "question": "Terrell has $14.49. How much money will Terrell have left if he buys a can of coffee beans and a block of cheddar cheese?\n" }, { "from": "gpt", "solution": "Find the total cost of a can of coffee beans and a block of cheddar cheese.\n\n$5.16 + $3.47 = $8.63\n\nNow subtract the total cost from the starting amount.\n\n$14.49 - $8.63 = $5.86\n\nTerrell will have $5.86 left.", "answer": "5.86", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| bag of marshmallows | $2.97 |\n| bag of chocolate chips | $2.61 |\n| block of cheddar cheese | $3.47 |\n| can of coffee beans | $5.16 |\n| bag of almonds | $4.05 |" } ] }, { "id": "38101", "image": "38101.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Sofia is at Lobster Pier. If she wants to arrive at Fisherman's Cove at 10.30 A.M., what time should she get on the boat?\n" }, { "from": "gpt", "solution": "Look at the row for Fisherman's Cove. Find the boat that arrives at Fisherman's Cove at 10:30 A. M.\n\nLook up the column until you find the row for Lobster Pier.\n\nSofia should get on the boat at 7:30 A. M.", "answer": "7:30 A.M.", "table": "**Tour boat schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 | Column 5 | Column 6 |\n| --- | --- | --- | --- | --- | --- |\n| Oyster Lighthouse | 6:00 A.M. | 6:15 A.M. | 7:00 A.M. | 8:00 A.M. | 8:30 A.M. |\n| Lobster Pier | 7:15 A.M. | 7:30 A.M. | 8:15 A.M. | 9:15 A.M. | 9:45 A.M. |\n| Sea Town | 7:30 A.M. | 7:45 A.M. | 8:30 A.M. | 9:30 A.M. | 10:00 A.M. |\n| Surfing Beach | 8:30 A.M. | 8:45 A.M. | 9:30 A.M. | 10:30 A.M. | 11:00 A.M. |\n| Fisherman's Cove | 10:15 A.M. | 10:30 A.M. | 11:15 A.M. | 12:15 P.M. | 12:45 P.M. |\n| Rocky Cliffs | 11:15 A.M. | 11:30 A.M. | 12:15 P.M. | 1:15 P.M. | 1:45 P.M. |\n| The Boardwalk | 1:00 P.M. | 1:15 P.M. | 2:00 P.M. | 3:00 P.M. | 3:30 P.M. |\n| Kite Coast | 1:45 P.M. | 2:00 P.M. | 2:45 P.M. | 3:45 P.M. | 4:15 P.M. |" } ] }, { "id": "38105", "image": "38105.png", "conversations": [ { "from": "human", "question": "For an economics project, Colleen determined the cost of ferry rides for bicycles and cars. How much higher is the fare for a car on the Mukilteu-Clinton ferry than on the Southport-Fort Fisher ferry?\n" }, { "from": "gpt", "solution": "Find the Car column. Find the numbers in this column for Mukilteu-Clinton and Southport-Fort Fisher.\n\nMukilteu-Clinton: $7.00\nSouthport-Fort Fisher: $5.00\n\nNow subtract:\n\n$7.00 − $5.00 = $2.00\n\nThe fare for a car is $2 more on the Mukilteu-Clinton ferry than on the Southport-Fort Fisher ferry.", "answer": "2", "table": "**Ferry fares**\n\n| Ferry | Car | Bicycle |\n| --- | --- | --- |\n| Ocracoke | $15 | $3 |\n| Mukilteu-Clinton | $7 | $5 |\n| Seattle-Bremerton | $12 | $8 |\n| Southport-Fort Fisher | $5 | $2 |" } ] }, { "id": "38112", "image": "38112.png", "conversations": [ { "from": "human", "question": "The table shows a function. Is the function linear or nonlinear?\n" }, { "from": "gpt", "solution": "To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.\nPick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.\nCall the values in the first row x1 and y1. Call the values in the second row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{8 - 0}{6 - 5}\n = \\frac{8}{1}\n = 8\nNow pick any other two rows and calculate the rate of change between them.\nCall the values in the first row x1 and y1. Call the values in the third row x2 and y2.\nRate of change = \\frac{y2 - y1}{x2 - x1}\n = \\frac{18 - 0}{7 - 5}\n = \\frac{18}{2}\n = 9\nThe rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.\nThe function is nonlinear.", "answer": "nonlinear", "table": "| x | y |\n| --- | --- |\n| 5 | 0 |\n| 6 | 8 |\n| 7 | 18 |" } ] }, { "id": "38115", "image": "38115.png", "conversations": [ { "from": "human", "question": "A farm equipment company kept a record of the number of tractors made each month. How many tractors did the company make in total in November and December?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nNovember: 652\nDecember: 157\n\nNow add: 652 + 157 = 809.\n\nThe company made 809 tractors in November and December.", "answer": "809", "table": "**Tractors made**\n\n| Month | Number of tractors |\n| --- | --- |\n| November | 652 |\n| December | 157 |\n| January | 180 |\n| February | 146 |" } ] }, { "id": "38119", "image": "38119.png", "conversations": [ { "from": "human", "question": "How much money does Jessica need to buy a canoe and a snowmobile?\n" }, { "from": "gpt", "solution": "Add the price of a canoe and the price of a snowmobile:\n\n$541.00 + $678.00 = $1,219.00\n\nJessica needs $1,219.00.", "answer": "1,219", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| canoe | $541.00 |\n| sailboat | $610.00 |\n| dirt bike | $961.00 |\n| motorcycle | $758.00 |\n| snowmobile | $678.00 |" } ] }, { "id": "38144", "image": "38144.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $510, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $510, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $350 | 17,100 | 3,100 |\n| $390 | 16,100 | 7,200 |\n| $430 | 15,100 | 11,300 |\n| $470 | 14,100 | 15,400 |\n| $510 | 13,100 | 19,500 |" } ] }, { "id": "38146", "image": "38146.png", "conversations": [ { "from": "human", "question": "A philanthropic organization compared the amounts of money that its members donated to certain causes. Who donated the most money to job training?\n" }, { "from": "gpt", "solution": "Look at the numbers in the Job training column. Find the greatest number in this column.\n\nThe greatest number is $18.00, which is in the Alexis row. Alexis donated the most to job training.", "answer": "Alexis", "table": "**Donations**\n\n| Person | Job training | Clean water |\n| --- | --- | --- |\n| Alexis | $18 | $16 |\n| Billy | $7 | $3 |\n| Trevor | $3 | $5 |\n| Juan | $15 | $3 |\n| John | $4 | $14 |" } ] }, { "id": "38148", "image": "38148.png", "conversations": [ { "from": "human", "question": "A skating rink attendant monitored the number of injuries at the rink over the past year. He tracked the ages of those injured and the kinds of skates worn during injury. What is the probability that a randomly selected injured skater was wearing in-line skates and was age 8? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the injured skater was wearing in-line skates\" and B be the event \"the injured skater was age 8\".\nTo find the probability that a injured skater was wearing in-line skates and was age 8, first identify the sample space and the event.\nThe outcomes in the sample space are the different injured skaters. Each injured skater is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the injured skater was wearing in-line skates and was age 8\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the injured skater was wearing in-line skates and was age 8\", so look at the table to see how many injured skaters were wearing in-line skates and were age 8.\nThe number of injured skaters who were wearing in-line skates and were age 8 is 2.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of injured skaters.\n2 + 2 + 3 + 3 = 10\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{2}{10}\n = \\frac{1}{5}\nThe probability that a injured skater was wearing in-line skates and was age 8 is \\frac{1}{5}.", "answer": "1/5", "table": "| Column 1 | Column 2 | Column 3 |\n| --- | --- | --- |\n| | Age 8 | Age 10 |\n| In-line skates | 2 | 3 |\n| Roller skates | 2 | 3 |" } ] }, { "id": "38149", "image": "38149.png", "conversations": [ { "from": "human", "question": "The members of the track team compared how many miles they ran last week. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n16, 10, 12, 11, 11, 12, 12\n\nFirst, count how many numbers are in the group.\n\nThere are 7 numbers.\n\nNow add all the numbers together:\n\n16 + 10 + 12 + 11 + 11 + 12 + 12 = 84\n\nNow divide the sum by the number of numbers:\n\n84 ÷ 7 = 12\n\nThe mean is 12.", "answer": "12", "table": "**Running miles**\n\n| Name | Miles |\n| --- | --- |\n| Nora | 16 |\n| Jasper | 10 |\n| Roger | 12 |\n| Aaron | 11 |\n| Oscar | 11 |\n| Martin | 12 |\n| Lillian | 12 |" } ] }, { "id": "38160", "image": "38160.png", "conversations": [ { "from": "human", "question": "In trying to calculate how much money could be saved by packing lunch, Gabrielle recorded the amount she spent on lunch each day. According to the table, what was the rate of change between Wednesday and Thursday?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{$10 - $2}{1 day}\n = \\frac{$8}{1 day}\n = $8 perday\nThe rate of change between Wednesday and Thursday was $8 perday.", "answer": "8", "table": "**Amount Gabrielle spent on lunch**\n\n| Day | Amount spent |\n| --- | --- |\n| Sunday | $3 |\n| Monday | $9 |\n| Tuesday | $7 |\n| Wednesday | $2 |\n| Thursday | $10 |" } ] }, { "id": "38161", "image": "38161.png", "conversations": [ { "from": "human", "question": "Deion's class recorded how many cans of food each student collected for their canned food drive. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n8, 6, 4, 8, 5, 5\n\nFirst, count how many numbers are in the group.\n\nThere are 6 numbers.\n\nNow add all the numbers together:\n\n8 + 6 + 4 + 8 + 5 + 5 = 36\n\nNow divide the sum by the number of numbers:\n\n36 ÷ 6 = 6\n\nThe mean is 6.", "answer": "6", "table": "**Cans of food collected**\n\n| Name | Number of cans of food |\n| --- | --- |\n| Deion | 8 |\n| Hunter | 6 |\n| Reggie | 4 |\n| Ashley | 8 |\n| Pamela | 5 |\n| John | 5 |" } ] }, { "id": "38164", "image": "38164.png", "conversations": [ { "from": "human", "question": "Jonah buys 2 kilograms of large binder clips and 2 kilograms of standard paper clips. How much does he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the large binder clips. Multiply:\n\n$1.87 × 2 = $3.74\n\nFind the cost of the standard paper clips. Multiply:\n\n$2.44 × 2 = $4.88\n\nNow find the total cost by adding:\n\n$3.74 + $4.88 = $8.62\n\nHe spends $8.62.", "answer": "8.62", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| standard paper clips | $2.44/kg |\n| colored paper clips | $2.80/kg |\n| jumbo binder clips | $2.11/kg |\n| medium binder clips | $1.85/kg |\n| large binder clips | $1.87/kg |\n| small binder clips | $1.84/kg |" } ] }, { "id": "38166", "image": "38166.png", "conversations": [ { "from": "human", "question": "Samuel went to the store and bought 0.1 pounds of onion dip. How much did he spend?\n" }, { "from": "gpt", "solution": "Find the cost of the onion dip. Multiply the price per pound by the number of pounds.\n$4 × 0.1 = $0.40\nHe spent $0.40.", "answer": "0.40", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| onion dip | $4/lb |\n| guacamole | $4/lb |\n| baba ghanoush | $4/lb |\n| dill dip | $3/lb |" } ] }, { "id": "38179", "image": "38179.png", "conversations": [ { "from": "human", "question": "Mrs. Cunningham hosts an annual art contest for kids, and she keeps a record of the number of entries each year. According to the table, what was the rate of change between 2014 and 2015?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{35 entries - 33 entries}{2015 - 2014}\n = \\frac{35 entries - 33 entries}{1 year}\n = \\frac{2 entries}{1 year}\n = 2 entries per year\nThe rate of change between 2014 and 2015 was 2 entries per year.", "answer": "2", "table": "**Art contest entries**\n\n| Year | Number of entries |\n| --- | --- |\n| 2011 | 43 |\n| 2012 | 37 |\n| 2013 | 41 |\n| 2014 | 33 |\n| 2015 | 35 |" } ] }, { "id": "38186", "image": "38186.png", "conversations": [ { "from": "human", "question": "Each office has 2 telephones. How many telephones are in 3 offices?\n" }, { "from": "gpt", "solution": "Count by twos. Use the chart: there are 6 telephones in 3 offices.", "answer": "6", "table": "| Number of offices | Number of telephones |\n| --- | --- |\n| 1 | 2 |\n| 2 | 4 |\n| 3 | ? |" } ] }, { "id": "38197", "image": "38197.png", "conversations": [ { "from": "human", "question": "Some dealerships compared their vehicle sales. How many more vehicles did Cars of Pryor Falls sell than Truck Town?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nCars of Pryor Falls: 567\nTruck Town: 176\n\nNow subtract: 567 - 176 = 391.\n\nCars of Pryor Falls sold 391 more vehicles than Truck Town.", "answer": "391", "table": "**Vehicle sales**\n\n| Dealership | Number of vehicles |\n| --- | --- |\n| Affordable Cars | 409 |\n| Cars of Pryor Falls | 567 |\n| RV City | 806 |\n| Truck Town | 176 |\n| Ben's Used Cars | 301 |" } ] }, { "id": "38201", "image": "38201.png", "conversations": [ { "from": "human", "question": "How much money does Jerry need to buy 9 wetsuits and 7 mountain bikes?\n" }, { "from": "gpt", "solution": "Find the cost of 9 wetsuits.\n\n$777.00 × 9 = $6,993.00\n\nFind the cost of 7 mountain bikes.\n\n$460.00 × 7 = $3,220.00\n\nNow find the total cost.\n\n$6,993.00 + $3,220.00 = $10,213.00\n\nJerry needs $10,213.00.", "answer": "10,213", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| racing bike | $805.00 |\n| wetsuit | $777.00 |\n| mountain bike | $460.00 |\n| snowboard | $230.00 |" } ] }, { "id": "38202", "image": "38202.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $1,000, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $1,000, the quantity demanded is greater than the quantity supplied. There is not enough of the good or service for sale at that price. So, there is a shortage.\n", "answer": "shortage", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $820 | 22,900 | 8,300 |\n| $880 | 22,600 | 8,900 |\n| $940 | 22,300 | 9,500 |\n| $1,000 | 22,000 | 10,100 |\n| $1,060 | 21,700 | 10,700 |" } ] }, { "id": "38203", "image": "38203.png", "conversations": [ { "from": "human", "question": "Dakota looked at her calendar to figure out how much time she spent babysitting each month. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n8, 3, 4, 2, 3, 6, 2, 8\n\nFirst, find the greatest number. The greatest number is 8.\n\nNext, find the least number. The least number is 2.\n\nSubtract the least number from the greatest number:\n\n8 − 2 = 6\n\nThe range is 6.", "answer": "6", "table": "**Hours of babysitting**\n\n| Month | Hours |\n| --- | --- |\n| October | 8 |\n| November | 3 |\n| December | 4 |\n| January | 2 |\n| February | 3 |\n| March | 6 |\n| April | 2 |\n| May | 8 |" } ] }, { "id": "38204", "image": "38204.png", "conversations": [ { "from": "human", "question": "The players on a quiz show received the following scores. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n46, 53, 46, 46, 41\n\nFirst, arrange the numbers from least to greatest:\n\n41, 46, 46, 46, 53\n\nNow find the number in the middle.\n\n41, 46, 46, 46, 53\n\nThe number in the middle is 46.\n\nThe median is 46.", "answer": "46", "table": "**Quiz show scores**\n\n| Name | Score |\n| --- | --- |\n| Mona | 46 |\n| Jaylen | 53 |\n| Brenda | 46 |\n| Sally | 46 |\n| Abby | 41 |" } ] }, { "id": "38229", "image": "38229.png", "conversations": [ { "from": "human", "question": "As part of a statistics project, a math class weighed all the children who were willing to participate. How many children weighed at least 40 pounds but less than 70 pounds?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 4, 5, and 6.\n\nYou counted 11 leaves, which are blue in the stem-and-leaf plot above. 11 children weighed at least 40 pounds but less than 70 pounds.", "answer": "11", "table": "**Children's weights (lbs)**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 2, 3, 3, 4, 4, 6 |\n| 4 | 1, 1, 5, 7 |\n| 5 | 1, 2, 5, 6 |\n| 6 | 2, 6, 9 |" } ] }, { "id": "38230", "image": "38230.png", "conversations": [ { "from": "human", "question": "In a study on public parking, the director of transportation counted the number of cars in each of the city's parking lots. How many parking lots had exactly 61 cars?\n" }, { "from": "gpt", "solution": "For the number 61, the stem is 6, and the leaf is 1. Find the row where the stem is 6. In that row, count all the leaves equal to 1.\n\nYou counted 1 leaf, which is blue in the stem-and-leaf plot above. 1 parking lot had exactly 61 cars.", "answer": "1", "table": "**Cars per parking lot**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 6, 9 |\n| 4 | 6 |\n| 5 | 9 |\n| 6 | 1 |\n| 7 | 0, 1, 7 |\n| 8 | 7 |\n| 9 | 0 |" } ] }, { "id": "38234", "image": "38234.png", "conversations": [ { "from": "human", "question": "Greta purchased 2+3/10 pounds of almonds. What was the total cost?\n" }, { "from": "gpt", "solution": "Find the cost of the almonds. Multiply the price per pound by the number of pounds.\n$5 × 2\\frac{3}{10} = $5 × 2.3 = $11.50\nThe total cost was $11.50.", "answer": "11.50", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| hazelnuts | $7/lb |\n| almonds | $5/lb |\n| pecans | $7/lb |\n| cashews | $10/lb |\n| peanuts | $2/lb |" } ] }, { "id": "38235", "image": "38235.png", "conversations": [ { "from": "human", "question": "Nolan has $1,425.00. Does he have enough to buy a wetsuit and a mountain bike?\n" }, { "from": "gpt", "solution": "Add the price of a wetsuit and the price of a mountain bike:\n\n$660.00 + $763.00 = $1,423.00\n\n$1,423.00 is less than $1,425.00. Nolan does have enough money.", "answer": "yes", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| set of golf clubs | $390.00 |\n| snowboard | $910.00 |\n| mountain bike | $763.00 |\n| wetsuit | $660.00 |" } ] }, { "id": "38236", "image": "38236.png", "conversations": [ { "from": "human", "question": "A business analyst compared purchases of different types of cereal. In all, how many boxes of Oaty Yums and Vanilla Honey Clusters were purchased?\n" }, { "from": "gpt", "solution": "Find the numbers in the table.\n\nOaty Yums: 4,708\nVanilla Honey Clusters: 3,408\n\nNow add: 4,708 + 3,408 = 8,116.\n\nIn all, 8,116 boxes of Oaty Yums and Vanilla Honey Clusters were purchased.", "answer": "8,116", "table": "**Boxes of cereal purchased**\n\n| Cereal | Number of boxes purchased |\n| --- | --- |\n| Fruit-E-Ohs | 8,176 |\n| Oaty Yums | 4,708 |\n| Sugar Pops | 6,537 |\n| Vanilla Honey Clusters | 3,408 |" } ] }, { "id": "38237", "image": "38237.png", "conversations": [ { "from": "human", "question": "In science class, Julia is measuring the temperature of different chemical mixtures. The temperatures of two mixtures are shown in the table. Which mixture's temperature is closest to zero?\n" }, { "from": "gpt", "solution": "A positive number means the temperature is above zero. A negative number means the temperature is below zero.\nTo find the temperature closest to zero, use absolute value. The absolute value of a temperature tells you how far it is from zero.\nBromine mixture: |-4| = 4\nAcetone mixture: |5| = 5\nThe temperature of the bromine mixture is closest to zero. It is only 4 degrees below zero.", "answer": "bromine mixture", "table": "| Mixture | Temperature (°C) |\n| --- | --- |\n| Bromine mixture | -4 |\n| Acetone mixture | 5 |" } ] }, { "id": "38239", "image": "38239.png", "conversations": [ { "from": "human", "question": "An athlete counted how many autographs he signed each day. On which day did the athlete sign the most autographs?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 79.\n\nNow find the corresponding day. Saturday corresponds to 79.", "answer": "Saturday", "table": "**Autographs signed**\n\n| Day | Number of autographs |\n| --- | --- |\n| Saturday | 79 |\n| Sunday | 72 |\n| Monday | 78 |\n| Tuesday | 76 |" } ] }, { "id": "38254", "image": "38254.png", "conversations": [ { "from": "human", "question": "How much money does Carmen need to buy a snow plow and a dirt bike?\n" }, { "from": "gpt", "solution": "Add the price of a snow plow and the price of a dirt bike:\n\n$7,110 + $3,676 = $10,786\n\nCarmen needs $10,786.", "answer": "10,786", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| kayak | $2,303 |\n| snowmobile | $1,030 |\n| dirt bike | $3,676 |\n| snow plow | $7,110 |" } ] }, { "id": "38255", "image": "38255.png", "conversations": [ { "from": "human", "question": "Each block has 10 parking spots. How many parking spots are on 3 blocks?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 30 parking spots on 3 blocks.", "answer": "30", "table": "| Number of blocks | Number of parking spots |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | ? |" } ] }, { "id": "38261", "image": "38261.png", "conversations": [ { "from": "human", "question": "Reba buys 2.6 pounds of liverwurst. How much does she spend?\n" }, { "from": "gpt", "solution": "Find the cost of the liverwurst. Multiply the price per pound by the number of pounds.\n$4 × 2.6 = $10.40\nShe spends $10.40.", "answer": "10.40", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| salami | $2 per pound |\n| liverwurst | $4 per pound |\n| linguica | $4 per pound |\n| pepperoni | $5 per pound |\n| chorizo | $2 per pound |\n| Italian sausage | $6 per pound |\n| bratwurst | $6 per pound |" } ] }, { "id": "38263", "image": "38263.png", "conversations": [ { "from": "human", "question": "A juice shop tracked how many smoothies it sold in the past 4 days. On which day did the shop sell the most smoothies?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 69.\n\nNow find the corresponding day. Monday corresponds to 69.", "answer": "Monday", "table": "**Smoothies sold**\n\n| Day | Number of smoothies |\n| --- | --- |\n| Friday | 67 |\n| Saturday | 61 |\n| Sunday | 68 |\n| Monday | 69 |" } ] }, { "id": "38266", "image": "38266.png", "conversations": [ { "from": "human", "question": "Some friends played a trivia game and recorded their scores. Who had the highest score?\n" }, { "from": "gpt", "solution": "Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 693.\n\nNow find the corresponding name. Luther corresponds to 693.", "answer": "Luther", "table": "**Trivia game scores**\n\n| Name | Score |\n| --- | --- |\n| Luther | 693 |\n| Emily | 639 |\n| Anne | 691 |\n| Janice | 662 |" } ] }, { "id": "38277", "image": "38277.png", "conversations": [ { "from": "human", "question": "The teachers at a middle school counted how many computers they had in their classrooms. What is the mode of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n6, 4, 5, 6, 9, 4, 6, 5\n\nFirst, arrange the numbers from least to greatest:\n\n4, 4, 5, 5, 6, 6, 6, 9\n\nNow count how many times each number appears.\n\n4 appears 2 times.\n5 appears 2 times.\n6 appears 3 times.\n9 appears 1 time.\n\nThe number that appears most often is 6.\n\nThe mode is 6.", "answer": "6", "table": "**Computers in classrooms**\n\n| Teacher | Number of computers |\n| --- | --- |\n| Ms. Rojas | 6 |\n| Ms. Cohen | 4 |\n| Mr. Lim | 5 |\n| Mrs. Rossi | 6 |\n| Mr. Morales | 9 |\n| Mr. Schmidt | 4 |\n| Miss Murphy | 6 |\n| Mrs. Tan | 5 |" } ] }, { "id": "38283", "image": "38283.png", "conversations": [ { "from": "human", "question": "Sally looked at the dates of the digital photos on her computer to find out how many she had taken in the past 7 days. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n0, 7, 4, 8, 5, 12, 6\n\nFirst, count how many numbers are in the group.\n\nThere are 7 numbers.\n\nNow add all the numbers together:\n\n0 + 7 + 4 + 8 + 5 + 12 + 6 = 42\n\nNow divide the sum by the number of numbers:\n\n42 ÷ 7 = 6\n\nThe mean is 6.", "answer": "6", "table": "**Photographs taken**\n\n| Day | Number of photographs |\n| --- | --- |\n| Sunday | 0 |\n| Monday | 7 |\n| Tuesday | 4 |\n| Wednesday | 8 |\n| Thursday | 5 |\n| Friday | 12 |\n| Saturday | 6 |" } ] }, { "id": "38288", "image": "38288.png", "conversations": [ { "from": "human", "question": "Britney counted the number of pairs of shoes for sale at each of the shoe stores in the mall. How many stores have exactly 81 pairs of shoes?\n" }, { "from": "gpt", "solution": "For the number 81, the stem is 8, and the leaf is 1. Find the row where the stem is 8. In that row, count all the leaves equal to 1.\n\nYou counted 1 leaf, which is blue in the stem-and-leaf plot above. 1 store has exactly 81 pairs of shoes.", "answer": "1", "table": "**Pairs of shoes per store**\n\n| Stem | Leaf |\n| --- | --- |\n| 4 | 3 |\n| 5 | 1, 3 |\n| 6 | 8 |\n| 7 | 1, 1, 4, 5 |\n| 8 | 1, 4 |" } ] }, { "id": "38291", "image": "38291.png", "conversations": [ { "from": "human", "question": "How much more does a rubber duck cost than a green marble?\n" }, { "from": "gpt", "solution": "Subtract the price of a green marble from the price of a rubber duck.\n\n$0.90 - $0.28 = $0.62\n\nA rubber duck costs $0.62 more than a green marble.", "answer": "0.62", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| miniature deck of cards | $0.93 |\n| rubber duck | $0.90 |\n| plastic horse | $0.57 |\n| green marble | $0.28 |" } ] }, { "id": "38299", "image": "38299.png", "conversations": [ { "from": "human", "question": "A concession stand worker at the movie theater looked up how many bags of popcorn were sold in the past 7 days. What is the range of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n1, 6, 3, 2, 3, 3, 8\n\nFirst, find the greatest number. The greatest number is 8.\n\nNext, find the least number. The least number is 1.\n\nSubtract the least number from the greatest number:\n\n8 − 1 = 7\n\nThe range is 7.", "answer": "7", "table": "**Bags of popcorn sold**\n\n| Day | Number of bags of popcorn |\n| --- | --- |\n| Friday | 1 |\n| Saturday | 6 |\n| Sunday | 3 |\n| Monday | 2 |\n| Tuesday | 3 |\n| Wednesday | 3 |\n| Thursday | 8 |" } ] }, { "id": "38312", "image": "38312.png", "conversations": [ { "from": "human", "question": "A stock broker followed the stock prices of a certain set of companies. Which company's stock cost more on Wednesday, Watson and Partners or White and Company?\n" }, { "from": "gpt", "solution": "Find the Wednesday column. Compare the numbers in this column for Watson and Partners and White and Company.\n\n$19.00 is more than $17.00. On Wednesday, White and Company's stock cost more.", "answer": "White and Company", "table": "**Stock prices**\n\n| Company | Wednesday | Thursday |\n| --- | --- | --- |\n| Watson and Partners | $17 | $18 |\n| White and Company | $19 | $16 |\n| Jonas Incorporated | $20 | $18 |" } ] }, { "id": "38318", "image": "38318.png", "conversations": [ { "from": "human", "question": "Mrs. McClure kept track of her students' scores on last year's final exam. How many students scored at least 60 points?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 6, 7, 8, and 9.\n\nYou counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 students scored at least 60 points.", "answer": "3", "table": "**Final exam scores**\n\n| Stem | Leaf |\n| --- | --- |\n| 3 | 0, 2, 7, 7 |\n| 4 | 8, 8, 9 |\n| 5 | |\n| 6 | |\n| 7 | |\n| 8 | 3, 7 |\n| 9 | 0 |" } ] }, { "id": "38323", "image": "38323.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. At which stop does the bus arrive at 12.35 P.M.?\n" }, { "from": "gpt", "solution": "Find 12:35 P. M. on the schedule. The bus arrives at the school at 12:35 P. M.", "answer": "school", "table": "**Bus schedule**\n\n| Location | Time |\n| --- | --- |\n| the post office | 10:10 A.M. |\n| the grocery store | 10:25 A.M. |\n| the movie theater | 10:50 A.M. |\n| the science museum | 11:10 A.M. |\n| the doctor's office | 11:55 A.M. |\n| the school | 12:35 P.M. |\n| the mall | 12:45 P.M. |\n| the kickball field | 12:50 P.M. |\n| the playground | 1:15 P.M. |" } ] }, { "id": "38326", "image": "38326.png", "conversations": [ { "from": "human", "question": "A cookie factory monitored the number of broken cookies per pack yesterday. How many packs had at least 19 broken cookies?\n" }, { "from": "gpt", "solution": "Find the row with stem 1. Count all the leaves greater than or equal to 9.\n\nCount all the leaves in the rows with stems 2, 3, 4, 5, 6, 7, 8, and 9.\n\nYou counted 18 leaves, which are blue in the stem-and-leaf plots above. 18 packs had at least 19 broken cookies.", "answer": "18", "table": "**Broken cookies per pack**\n\n| Stem | Leaf |\n| --- | --- |\n| 0 | 1, 3, 4, 6, 6 |\n| 1 | |\n| 2 | 4 |\n| 3 | 0, 4, 7, 9 |\n| 4 | 5, 9 |\n| 5 | 1, 6 |\n| 6 | 4 |\n| 7 | 4, 6, 9 |\n| 8 | 2, 3, 6, 7 |\n| 9 | 0 |" } ] }, { "id": "38338", "image": "38338.png", "conversations": [ { "from": "human", "question": "An employee at the craft store counted the number of red buttons in each bag of mixed buttons. How many bags had at least 10 red buttons but fewer than 60 red buttons?\n" }, { "from": "gpt", "solution": "Count all the leaves in the rows with stems 1, 2, 3, 4, and 5.\n\nYou counted 18 leaves, which are blue in the stem-and-leaf plot above. 18 bags had at least 10 red buttons but fewer than 60 red buttons.", "answer": "18", "table": "**Red buttons per bag**\n\n| Stem | Leaf |\n| --- | --- |\n| 0 | 1, 2, 4, 6, 7, 8, 9 |\n| 1 | 0, 1, 4, 5, 7 |\n| 2 | 4, 5, 9 |\n| 3 | 3, 4, 4, 4, 6, 8 |\n| 4 | 0, 7 |\n| 5 | 1, 6 |" } ] }, { "id": "38353", "image": "38353.png", "conversations": [ { "from": "human", "question": "Each roof has 10 parakeets. How many parakeets are on 4 roofs?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 40 parakeets on 4 roofs.", "answer": "40", "table": "| Number of roofs | Number of parakeets |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | ? |" } ] }, { "id": "38356", "image": "38356.png", "conversations": [ { "from": "human", "question": "Celine owns a coffee shop that serves delicious breakfast pastries. This frequency chart shows how many pastries she sold last week. This week, the coffee shop was closed for a few days and Celine sold only half as many pastries as last week. How many pastries did she sell this week?\n" }, { "from": "gpt", "solution": "Step 1: Find how many pastries Celine sold last week.\nCeline sold 50 muffins, 62 bagels, 48 turnovers, and 64 butter rolls last week. Add.\n50 + 62 + 48 + 64 = 224\nCeline sold 224 pastries last week.\nStep 2: Find how many pastries is half as much.\nCeline sold 224 pastries last week, and she sold half as many this week. Divide 224 by2.\n224÷2 = 112\nCeline sold 112 pastries items this week.", "answer": "112", "table": "**Breakfast pastries**\n\n| Type | Frequency |\n| --- | --- |\n| muffin | 50 |\n| bagel | 62 |\n| turnover | 48 |\n| butter roll | 64 |" } ] }, { "id": "38370", "image": "38370.png", "conversations": [ { "from": "human", "question": "Jayce's P.E. class participated in a push-up competition, and Jayce wrote down how many push-ups each person could do. What is the smallest number of push-ups done?\n" }, { "from": "gpt", "solution": "Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 1.\n\nNow find the lowest leaf in the first row. The lowest leaf is 3.\n\nThe smallest number of push-ups done has a stem of 1 and a leaf of 3. Write the stem first, then the leaf: 13.\n\nThe smallest number of push-ups done is 13 push-ups.", "answer": "13", "table": "**Push-up competition (number of push-ups)**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 3, 8 |\n| 2 | 0, 2, 3, 5 |\n| 3 | 0, 1, 6, 8 |\n| 4 | 5 |\n| 5 | 2, 6 |\n| 6 | 1, 1, 5, 9 |\n| 7 | 1, 1, 3, 7, 8 |\n| 8 | 5, 7 |" } ] }, { "id": "38377", "image": "38377.png", "conversations": [ { "from": "human", "question": "The parks department compared how many basketball hoops there are at each park. What is the median of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n9, 2, 2, 10, 10, 2, 2\n\nFirst, arrange the numbers from least to greatest:\n\n2, 2, 2, 2, 9, 10, 10\n\nNow find the number in the middle.\n\n2, 2, 2, 2, 9, 10, 10\n\nThe number in the middle is 2.\n\nThe median is 2.", "answer": "2", "table": "**Basketball hoops**\n\n| Park | Number of basketball hoops |\n| --- | --- |\n| Canal Park | 9 |\n| Kelly Park | 2 |\n| Otter Park | 2 |\n| Westfield Park | 10 |\n| Heron Park | 10 |\n| Mooreland Park | 2 |\n| Riverfront Park | 2 |" } ] }, { "id": "38385", "image": "38385.png", "conversations": [ { "from": "human", "question": "Look at the following schedule. Linda got on the boat at Fisherman's Cove at 9.45 A.M. What time will she get to Palm Tree Island?\n" }, { "from": "gpt", "solution": "Find 9:45 A. M. in the row for Fisherman's Cove. That column shows the schedule for the boat that Linda is on.\n\nLook down the column until you find the row for Palm Tree Island.\n\nLinda will get to Palm Tree Island at 1:15 P. M.", "answer": "1:15 P.M.", "table": "**Tour boat schedule**\n\n| Column 1 | Column 2 | Column 3 | Column 4 | Column 5 |\n| --- | --- | --- | --- | --- |\n| Sea Town | 8:00 A.M. | 8:15 A.M. | 8:30 A.M. | 9:30 A.M. |\n| Fisherman's Cove | 9:45 A.M. | 10:00 A.M. | 10:15 A.M. | 11:15 A.M. |\n| Starfish Point | 10:30 A.M. | 10:45 A.M. | 11:00 A.M. | 12:00 P.M. |\n| Rocky Cliffs | 11:45 A.M. | 12:00 P.M. | 12:15 P.M. | 1:15 P.M. |\n| Palm Tree Island | 1:15 P.M. | 1:30 P.M. | 1:45 P.M. | 2:45 P.M. |" } ] }, { "id": "38389", "image": "38389.png", "conversations": [ { "from": "human", "question": "How much would it cost to buy 3 pounds of gummy bears?\n" }, { "from": "gpt", "solution": "Find the cost of the gummy bears. Multiply the price per pound by the number of pounds.\n\n$1.21 × 3 = $3.63\n\nIt would cost $3.63.", "answer": "3.63", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| licorice | $1.93 per lb |\n| gummy bears | $1.21 per lb |\n| chocolate-covered raisins | $2.05 per lb |\n| yogurt-covered peanuts | $3.87 per lb |" } ] }, { "id": "38391", "image": "38391.png", "conversations": [ { "from": "human", "question": "Look at this table. Is this relation a function?\n" }, { "from": "gpt", "solution": "Look at the x-values in the table.\n\nEach of the x-values is paired with only one y-value, so the relation is a function.", "answer": "yes", "table": "| x | y |\n| --- | --- |\n| 0 | 4 |\n| 3 | 5 |\n| 11 | 18 |\n| 13 | 2 |" } ] }, { "id": "38395", "image": "38395.png", "conversations": [ { "from": "human", "question": "Mrs. McConnell hosts an annual art contest for kids, and she keeps a record of the number of entries each year. According to the table, what was the rate of change between 2017 and 2018?\n" }, { "from": "gpt", "solution": "Plug the numbers into the formula for rate of change and simplify.\nRate of change\n = \\frac{change in value}{change in time}\n = \\frac{43 entries - 50 entries}{2018 - 2017}\n = \\frac{43 entries - 50 entries}{1 year}\n = \\frac{-7 entries}{1 year}\n = -7 entries per year\nThe rate of change between 2017 and 2018 was - 7 entries per year.", "answer": "-7", "table": "**Art contest entries**\n\n| Year | Number of entries |\n| --- | --- |\n| 2015 | 36 |\n| 2016 | 49 |\n| 2017 | 50 |\n| 2018 | 43 |\n| 2019 | 45 |" } ] }, { "id": "38397", "image": "38397.png", "conversations": [ { "from": "human", "question": "Some friends played a trivia game and recorded their scores. What is the mean of the numbers?\n" }, { "from": "gpt", "solution": "Read the numbers from the table.\n\n10, 6, 3, 6, 6, 9, 10, 6\n\nFirst, count how many numbers are in the group.\n\nThere are 8 numbers.\n\nNow add all the numbers together:\n\n10 + 6 + 3 + 6 + 6 + 9 + 10 + 6 = 56\n\nNow divide the sum by the number of numbers:\n\n56 ÷ 8 = 7\n\nThe mean is 7.", "answer": "7", "table": "**Trivia game scores**\n\n| Name | Score |\n| --- | --- |\n| Tina | 10 |\n| Samuel | 6 |\n| Lorenzo | 3 |\n| Erin | 6 |\n| Hanson | 6 |\n| Grayson | 9 |\n| Fred | 10 |\n| Janice | 6 |" } ] }, { "id": "38400", "image": "38400.png", "conversations": [ { "from": "human", "question": "A food magazine published a listing of local restaurant ratings. How many restaurants were rated exactly 50 points?\n" }, { "from": "gpt", "solution": "For the number 50, the stem is 5, and the leaf is 0. Find the row where the stem is 5. In that row, count all the leaves equal to 0.\n\nYou counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 restaurants were rated exactly 50 points.", "answer": "2", "table": "**Restaurant ratings**\n\n| Stem | Leaf |\n| --- | --- |\n| 1 | 1, 6, 7 |\n| 2 | 1 |\n| 3 | 3 |\n| 4 | 8 |\n| 5 | 0, 0 |" } ] }, { "id": "38402", "image": "38402.png", "conversations": [ { "from": "human", "question": "A customer at a sushi restaurant was examining the types of sushi rolls offered on the menu. Rolls vary by type of fish and level of spiciness. Rolls only contain one type of fish. What is the probability that a randomly selected sushi roll is labeled not spicy and contains salmon? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the sushi roll is labeled not spicy\" and B be the event \"the sushi roll contains salmon\".\nTo find the probability that a sushi roll is labeled not spicy and contains salmon, first identify the sample space and the event.\nThe outcomes in the sample space are the different sushi rolls. Each sushi roll is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the sushi roll is labeled not spicy and contains salmon\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the sushi roll is labeled not spicy and contains salmon\", so look at the table to see how many sushi rolls are labeled not spicy and contain salmon.\nThe number of sushi rolls that are labeled not spicy and contain salmon is 4.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of sushi rolls.\n4 + 4 + 4 + 6 = 18\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{4}{18}\n = \\frac{2}{9}\nThe probability that a sushi roll is labeled not spicy and contains salmon is \\frac{2}{9}.", "answer": "2/9", "table": "| | Yellowtail | Salmon |\n| --- | --- | --- |\n| Not spicy | 4 | 4 |\n| A little spicy | 4 | 6 |" } ] }, { "id": "38405", "image": "38405.png", "conversations": [ { "from": "human", "question": "Look at the table. Then answer the question. At a price of $735, is there a shortage or a surplus?\n" }, { "from": "gpt", "solution": "At the price of $735, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.\n", "answer": "surplus", "table": "| Price | Quantity demanded | Quantity supplied |\n| --- | --- | --- |\n| $495 | 18,500 | 10,800 |\n| $555 | 14,500 | 11,300 |\n| $615 | 10,500 | 11,800 |\n| $675 | 6,500 | 12,300 |\n| $735 | 2,500 | 12,800 |" } ] }, { "id": "38406", "image": "38406.png", "conversations": [ { "from": "human", "question": "Each package has 10 apples. How many apples are in 4 packages?\n" }, { "from": "gpt", "solution": "Count by tens. Use the chart: there are 40 apples in 4 packages.", "answer": "40", "table": "| Number of packages | Number of apples |\n| --- | --- |\n| 1 | 10 |\n| 2 | 20 |\n| 3 | 30 |\n| 4 | ? |" } ] }, { "id": "38412", "image": "38412.png", "conversations": [ { "from": "human", "question": "A hot dog stand kept track of the number of hot dogs sold each day. On which day did the stand sell the fewest hot dogs?\n" }, { "from": "gpt", "solution": "Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 118.\n\nNow find the corresponding day. Wednesday corresponds to 118.", "answer": "Wednesday", "table": "**Hot dogs sold**\n\n| Day | Number of hot dogs |\n| --- | --- |\n| Tuesday | 168 |\n| Wednesday | 118 |\n| Thursday | 169 |\n| Friday | 186 |" } ] }, { "id": "38417", "image": "38417.png", "conversations": [ { "from": "human", "question": "Joseph, an employee at Morrison's Convenience Store, looked at the sales of each of its soda products. How much more did the convenience store make from Nature's Nectar sales on Friday than on Thursday?\n" }, { "from": "gpt", "solution": "Find the Nature's Nectar row. Find the numbers in this row for Friday and Thursday.\n\nFriday: $4.00\nThursday: $2.00\n\nNow subtract:\n\n$4.00 − $2.00 = $2.00\n\nThe convenience store made $2 more from Nature's Nectar sales on Friday than on Thursday.", "answer": "2", "table": "**Convenience store beverage sales**\n\n| Beverage | Thursday | Friday |\n| --- | --- | --- |\n| Natural Goodness Juice | $18 | $10 |\n| Pearl's Soda | $7 | $4 |\n| Nature's Nectar | $2 | $4 |\n| Brenner's Juices | $5 | $13 |" } ] }, { "id": "38425", "image": "38425.png", "conversations": [ { "from": "human", "question": "Donald, a soup chef at a new restaurant, kept track of the first week's soup sales. What is the probability that a randomly selected soup was ordered in a bowl and was chicken noodle? Simplify any fractions.\n" }, { "from": "gpt", "solution": "Let A be the event \"the soup was ordered in a bowl\" and B be the event \"the soup was chicken noodle\".\nTo find the probability that a soup was ordered in a bowl and was chicken noodle, first identify the sample space and the event.\nThe outcomes in the sample space are the different soups. Each soup is equally likely to be selected, so this is a uniform probability model.\nThe event is A and B, \"the soup was ordered in a bowl and was chicken noodle\".\nSince this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.\n\nFind the number of outcomes in the event A and B.\nA and B is the event \"the soup was ordered in a bowl and was chicken noodle\", so look at the table to see how many soups were ordered in a bowl and were chicken noodle.\nThe number of soups that were ordered in a bowl and were chicken noodle is 3.\n\nFind the total number of outcomes.\nAdd all the numbers in the table to find the total number of soups.\n7 + 4 + 5 + 3 = 19\n\nFind P(A and B).\nSince all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.\nP(A and B) = \\frac{# of outcomes in A and B}{total # of outcomes}\n = \\frac{3}{19}\nThe probability that a soup was ordered in a bowl and was chicken noodle is \\frac{3}{19}.", "answer": "3/19", "table": "| | Split pea | Chicken noodle |\n| --- | --- | --- |\n| Cup | 7 | 5 |\n| Bowl | 4 | 3 |" } ] }, { "id": "38427", "image": "38427.png", "conversations": [ { "from": "human", "question": "How much more does a hot air balloon ride cost than a jet ski ride?\n" }, { "from": "gpt", "solution": "Subtract the price of a jet ski ride from the price of a hot air balloon ride.\n\n$623.00 - $299.00 = $324.00\n\nA hot air balloon ride costs $324.00 more than a jet ski ride.", "answer": "324", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| airplane ride | $322.00 |\n| speedboat ride | $562.00 |\n| helicopter ride | $830.00 |\n| hot air balloon ride | $623.00 |\n| jet ski ride | $299.00 |\n| limousine ride | $699.00 |" } ] }, { "id": "38430", "image": "38430.png", "conversations": [ { "from": "human", "question": "How much more does a photo album cost than a math book?\n" }, { "from": "gpt", "solution": "Subtract the price of a math book from the price of a photo album.\n\n$15 - $13 = $2\n\nA photo album costs $2 more than a math book.", "answer": "2", "table": "| Column 1 | Column 2 |\n| --- | --- |\n| cookbook | $14 |\n| dog calendar | $12 |\n| photo album | $15 |\n| dictionary | $22 |\n| scrapbook | $15 |\n| math book | $13 |" } ] } ]