[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-478280-105":3,"detail-sidebar-cat-0-en-105":80,"doc-detail-478280-en":130},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":73,"head_meta":75,"extra_data":77,"updated_unix":79},105,"en","solving-with-mixed-operations-solve-each-problem","Solving with Mixed Operations - Solve each problem","","Math practice sheet centered on mixed-operations problem solving, including multi-step cost and profit calculations, regular and overtime wage computations, temperature change through consecutive intervals, recycling buyback earnings per material type, and a personal finance balance update with income, spending, and a large purchase. 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He ordered 8 pounds of beef at $10.89 per pound, 4 pounds of potatoes at $9.46 a pound and 8 pounds of carrots at $10.99 per pound. He estimates that this will make 22 meals. If he charges $36.19 per meal how much profit will he make? | Answers\u003Cbr>1.  \u003Cbr>2.  \u003Cbr>3.   |  |  |  |  |\n| --- | --- | --- | --- | --- | --- |\n| 2) At the state fair 6 employees were paid $8.58 an hour. They worked for 7 hours at regular price and then for 3 hours at overtime price (an extra $2.65 an hour) . How much money did they make total? | 4.  \u003Cbr>5.   |  |  |  |  |\n| 3) At noon the temperature was 2° C. Over the next 5 hours the temperature dropped another 6 degrees. Then every hour until 4:00 the temperature rose 3 degrees. What\u003Cbr>was the temperature at 4:00? |  |  |  |  |  |\n| 4) A recycling center was offering cash for different types of recyclables. For each pound of paper recycled they offered $1.24, for each pound of aluminum they offered $1.43 and for each pound of plastic they offered $0.95. George took in 6 pounds of paper, 7 pounds of aluminum and 11 pounds of plastic. How much money did he earn? |  |  |  |  |  |\n| 5) Adam started the month with $102.59 in his bank account. Over the course of the month he got 2 paychecks. One for $258.54 and the other was for $283.94. He ended up spending $217.96 on food, $44.15 on gas and $117.99 and on car insurance. Then he decided to buy a new ipad which cost him $374.06. How much money was in Adam's account at the end of the month? |  |  |  |  |  |\n| 6\u003Cbr>1-5\u003Cbr> 80  |  |  60  |  40  |  20  | 0 |\n\n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \nMath  \nSolving with Mixed Operations (Word)  \nName: Answer Key  \n\n| Solve each problem.\u003Cbr>1) A restaurant chef was ordering supplies. He ordered 8 pounds of beef at $10.89 per pound, 4 pounds of potatoes at $9.46 a pound and 8 pounds of carrots at $10.99 per pound. He estimates that this will make 22 meals. If he charges $36.19 per meal how much profit will he make?\u003Cbr>87.12 (total cost of beef)\u003Cbr>37.84 (total cost of potatoes)\u003Cbr>87.92 (total cost of carrots)\u003Cbr>212.88 (total cost of all items)\u003Cbr>796.18 (total revenue from meals)\u003Cbr>583.3 (profit (total revenue-total cost))\u003Cbr>2) At the state fair 6 employees were paid $8.58 an hour. They worked for 7 hours at regular price and then for 3 hours at overtime price (an extra $2.65 an hour) . How much money did they make total?\u003Cbr>360.36 (total regular pay for all employees)\u003Cbr>11.23 (overtime pay rate per hour)\u003Cbr>202.14 (total overtime pay for all employees)\u003Cbr>562.5 (total money made by all employees)\u003Cbr>3) At noon the temperature was 2° C. Over the next 5 hours the temperature dropped another 6 degrees. Then every hour until 4:00 the temperature rose 3 degrees. What\u003Cbr>was the temperature at 4:00?\u003Cbr>6 (total temperature drop over the first period)\u003Cbr>-4 (temperature after the first drop)\u003Cbr>-1 (number of hours from temperature drop period to 4:00)\u003Cbr>-3 (total temperature rise until 4:00)\u003Cbr>-7 (temperature at 4:00)\u003Cbr>4) A recycling center was offering cash for different types of recyclables. For each pound of paper recycled they offered $1.24, for each pound of aluminum they offered $1.43 and for each pound of plastic they offered $0.95. George took in 6 pounds of paper, 7 pounds of aluminum and 11 pounds of plastic. How much money did he earn?\u003Cbr>7.44 (total earnings from paper)\u003Cbr>10.01 (total earnings from aluminum)\u003Cbr>10.45 (total earnings from plastic)\u003Cbr>27.9 (total earnings from all recyclables)\u003Cbr>5) Adam started the month with $102.59 in his bank account. Over the course of the month he got 2 paychecks. One for $258.54 and the other was for $283.94. He ended up spending $217.96 on food, $44.15 on gas and $117.99 and on car insurance. Then he decided to buy a new ipad which cost him $374.06. How much money was in Adam's account at the end of the month?\u003Cbr>645.07 (total ","cbCaikZAD9qIGU1e","https://ap.wps.com/l/cbCaikZAD9qIGU1e","pdf",44589,"English","# Solve each problem\n## Problem set\n## Answer key","[{\"question\":\"What types of mixed operations are included in this worksheet?\",\"answer\":\"The worksheet includes multi-step arithmetic for costs and profit, wages with overtime, temperature changes over time, recycling earnings by material, and bank balance updates with income and expenses.\"},{\"question\":\"How is overtime pay calculated in problem 2?\",\"answer\":\"Employees are paid at a regular hourly rate for 7 hours, then for 3 additional hours at an overtime rate that adds $2.65 per hour.\"},{\"question\":\"What information is needed to find the profit in problem 1?\",\"answer\":\"The calculation uses total costs from purchasing beef, potatoes, and carrots (based on pounds and per-pound prices) and multiplies meals by the charge per meal to get total revenue, then subtracts total cost.\"}]","Solving with Mixed Operations - Solve each problem | PDF",1790791248]