[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-478281-105":59,"doc-detail-478281-en":130},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","solving-with-mixed-operations-word-answer-key","Solving with Mixed Operations (Word) - Answer Key","","A worksheet and answer key focused on solving multi-step “mixed operations” word problems in a math setting. Problems cover financial scenarios such as break-even calculations after expenses and sales, employee regular and overtime pay totals, earnings from recycling by material type, and profit for a bakery based on revenue minus ingredient costs. A final scenario estimates costs for meal ingredients and computes profit using a per-meal charge.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/solving-with-mixed-operations-word-answer-key/478281/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/solving-with-mixed-operations-word-answer-key/478281.png","ImageObject",300,407,{"name":92,"@type":93},"Mabel","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-28","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":81},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How do you find the amount needed to break even in the pizza shop problem?","Question",{"text":112,"@type":113},"Compute total profit from pizzas and sodas, add them together, then subtract the monthly bills. The remaining amount is the break-even value.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What is the method for calculating total pay with regular and overtime hours?",{"text":117,"@type":113},"Multiply regular hourly pay by regular hours for each employee, then add overtime pay computed from the overtime rate times overtime hours for all employees.",{"name":119,"@type":110,"acceptedAnswer":120},"How is profit calculated in the bakery and meal-planning problems?",{"text":121,"@type":113},"Total revenue is found from quantities sold times their selling prices, total cost is found from quantities times unit costs, then profit equals revenue minus cost. For meals, profit uses the per-meal charge minus total ingredient cost.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},478281,1792855050,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":81,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":81,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":143,"read_time":39},7971474920318,"https://ap-avatar.wpscdn.com/avatar/74000ee537e6b0ca360?x-image-process=image/resize,m_fixed,w_180,h_180&k=1788430171632181674","Solving with Mixed Operations (Word)  \nName:  \n\n| Solve each problem.\u003Cbr>1) A new pizza shop opened up and started out $6,837 .96 in the hole. Their first month being open they sold 80 pizzas ($3 .39 profit each) and 95 sodas ($2 .01 profit each) . Their bills for the first month were $1,379 .37. How much money do they still need to make to break even? | Answers\u003Cbr>1.  \u003Cbr>2.  \u003Cbr>3.   |  |  |  |  |\n| --- | --- | --- | --- | --- | --- |\n| 2) At the state fair 4 employees were paid $7.11 an hour. They worked for 6 hours at regular price and then for 4 hours at overtime price (an extra $5.80 an hour) . How much money did they make total? | 4.  \u003Cbr>5.   |  |  |  |  |\n| 3) A recycling center was offering cash for different types of recyclables. For each pound of paper recycled they offered $1.41, for each pound of aluminum they offered $1.81 and for each pound of plastic they offered $0.61. Mike took in 15 pounds of paper, 8 pounds of aluminum and 11 pounds of plastic. How much money did he earn? |  |  |  |  |  |\n| 4) A deluxe bakery sells a cookie for $2 . 69, a brownie for $2.76 and a cake for $22.97. On Wednesday they sold 15 cookies, 6 brownies and 4 cakes. The cost in ingredients for each cookie is $0 .24, for each brownie is $0.38 and for each cake is $6.29. How much profit did they make on Wednesday? |  |  |  |  |  |\n| 5) A restaurant chef was ordering supplies. He ordered 4 pounds of beef at $8.80 per pound, 5 pounds of potatoes at $10.45 a pound and 8 pounds of carrots at $7.64 per pound. He estimates that this will make 20 meals. If he charges $31.46 per meal how much profit will he make? |  |  |  |  |  |\n| 7\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 new pizza shop opened up and started out $6,837 .96 in the hole. Their first month being open they sold 80 pizzas ($3 .39 profit each) and 95 sodas ($2 .01 profit each) . Their bills for the first month were $1,379 .37. How much money do they still need to |  | Answers\u003Cbr>1.  7,755.18  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- |\n| make to break even?\u003Cbr>271.2 (total profit from pizzas)\u003Cbr>190.95 (total profit from sodas)\u003Cbr>462.15 (total profit from all sales)\u003Cbr>-917.22 (net profit after paying bills)\u003Cbr>7755.18 (remaining amount to break even)\u003Cbr>2) At the state fair 4 employees were paid $7.11 an hour. They worked for 6 hours at regular price and then for 4 hours at overtime price (an extra $5.80 an hour) . How much money did they make total?\u003Cbr>170.64 (total regular pay for all employees)\u003Cbr>12.91 (overtime pay rate per hour)\u003Cbr>206.56 (total overtime pay for all employees)\u003Cbr>377.2 (total money made by all employees) |  | 2.\u003Cbr>3.\u003Cbr>4.\u003Cbr>5. | 377.2 |  |  |  |  |\n|  |  |  | 42.34 |  |  |  |  |\n|  |  |  | 117.75 |  |  |  |  |\n|  |  |  | 480.63 |  |  |  |  |\n|  |  |  |  |  |  |  |  |\n| 3) A recycling center was offering cash for different types of recyclables. For each pound of paper recycled they offered $1.41, for each pound of aluminum they offered $1.81 and for each pound of plastic they offered $0.61. Mike took in 15 pounds of paper, 8 pounds of aluminum and 11 pounds of plastic. How much |  |  |  |  |  |  |  |\n| money did he earn?\u003Cbr>21.15 (total earnings from paper)\u003Cbr>14.48 (total earnings from aluminum)\u003Cbr>6.71 (total earnings from plastic)\u003Cbr>42.34 (total earnings from all recyclables)\u003Cbr>4) A deluxe bakery sells a cookie for $2 . 69, a brownie for $2.76 and a cake for $22.97. On Wednesday they sold 15 cookies, 6 brownies and 4 cakes. The cost in ingredients for each cookie is $0 .24, for each brownie is $0.38 and for each cake is |  |  |  |  |  |  |  |\n| $6.29. How much profit did they make on Wednesday?\u003Cbr>40.35 (total revenue from cookies)\u003Cbr>16.56 (total revenue from brownies)\u003Cbr>91.88 (total revenue from cakes)\u003Cbr>148.79 (total revenue from all items)\u003Cbr>3.6 (total cost of ingredie","cbCaigphVA3oTLiq","https://ap.wps.com/l/cbCaigphVA3oTLiq","pdf",44528,"English","# Solve each problem\n## Break-even and net amount\n## Regular and overtime pay\n## Recycling earnings by material\n## Bakery revenue minus ingredient costs\n## Meal supply costs and profit","[{\"question\":\"How do you find the amount needed to break even in the pizza shop problem?\",\"answer\":\"Compute total profit from pizzas and sodas, add them together, then subtract the monthly bills. The remaining amount is the break-even value.\"},{\"question\":\"What is the method for calculating total pay with regular and overtime hours?\",\"answer\":\"Multiply regular hourly pay by regular hours for each employee, then add overtime pay computed from the overtime rate times overtime hours for all employees.\"},{\"question\":\"How is profit calculated in the bakery and meal-planning problems?\",\"answer\":\"Total revenue is found from quantities sold times their selling prices, total cost is found from quantities times unit costs, then profit equals revenue minus cost. For meals, profit uses the per-meal charge minus total ingredient cost.\"}]","Solving with Mixed Operations (Word) - Answer Key | PDF",1790791250]