[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-361291-105":59,"doc-detail-361291-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-proportionsword-problems-b-solving-instructions","Solving Proportions—Word Problems (B) - Solving Instructions","","Worksheet section titled “Solving Proportions—Word Problems (B)” provides step-by-step guidance for solving proportion problems from real-life contexts. Students learn to set up a proportion with matching units in matching positions, label what x represents, cross multiply, divide to find the value, and then check whether the answer makes sense. The page includes 14 word problems covering travel time and distance, recipes, map scales, fuel, classroom attendance, printing pages, photos and dimensions, pricing, shadows, blueprints, and mixture rates.",{"@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-proportionsword-problems-b-solving-instructions/361291/",{"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-proportionsword-problems-b-solving-instructions/361291.png","ImageObject",300,407,{"name":92,"@type":93},"Adam","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-24","2026-09-23",true,{"@type":102,"interactionType":103,"userInteractionCount":52},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What is the first step for solving each proportion word problem?","Question",{"text":112,"@type":113},"Set up a proportion with matching units in matching positions and label what x represents.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How do you solve the proportion once it is set up?",{"text":117,"@type":113},"Cross multiply, then divide to solve for x.",{"name":119,"@type":110,"acceptedAnswer":120},"Why should you check your answer after solving?",{"text":121,"@type":113},"The instructions emphasize checking whether the answer makes sense in the context of the problem.","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},361291,1790443717,{"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":52,"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,"preview_page_count":4},1374404737137,"https://ap-avatar.wpscdn.com/davatar_155a257f0dc6eb9ab79c44ca47cae57d","Name:     \nSolving Proportions—Word Problems (B)  \nRemember: Set up a proportion with matching units in matching positions. Label what x represents. Cross multiply, then divide to solve. Check: does your answer make sense in context?  \nDirections: Set up and solve a proportion for each problem. Show your work.  \n1.) A plane travels 180 miles in 4 hours. How far in 7 hours?  \n2.) If 3 pounds of grapes cost $5 . 10, how much do 7 pounds cost?  \n3.) A recipe uses 5 cups of flour for 60 rolls. How many cups for 84 rolls?  \n4.) A map scale is 3 cm = 40 km. How many km does 9 cm represent?  \n5.) A car gets 32 miles per gallon. How many gallons are needed for 200 miles?  \n6.) A class has 18 students. If 3 are absent today, at the same rate how many would be absent from 120 students?  \n7.) A printer prints 40 pages in 5 minutes. How long for 64 pages?  \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)  \n8.) A photo is 3 inches wide and 5 inches tall. A copy is made 9 inches wide. How tall is the copy?  \n9.) A store sells 4 cans of soup for $6.00. How much for 10 cans?  \n10.) A biker rides 36 miles in 4 hours. How long for 63 miles?  \n11.) A flagpole casts a 12 ft shadow. A mailbox next to it casts a 4 ft shadow and is 3 ft tall. How tall is the flagpole?  \n12.) A blueprint uses 1 inch = 8 feet. A wall measures 4.5 inches on the blueprint. How long is the actual wall?  \n13.) A punch recipe uses 2 cups of juice per 3 cups of ginger ale. How many cups of ginger ale for 14 cups of juice?  \n14.) A hiker travels 72 miles in 3 days. How long to travel 108 miles?  \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)  \nANSWER KEY  \nAnswers:  \n1.) 180/4 = x/7 → x = 315 miles  \n2.) 3/5 .10 = 7/x → x = $11.90  \n3.) 5/60 = x/84 → x = 7 cups  \n4.) 3/40 = 9/x → x = 120 km  \n5.) 32/1 = 200/x → x = 6.25 gallons  \n6.) 3/18 = x/120 → x = 20 students  \n7.) 40/5 = 64/x → x = 8 minutes  \n8.) 3/5 = 9/x → x = 15 inches  \n9.) 4/6 = 10/x → x = $15.00  \n10.) 36/4 = 63/x → x = 7 hours  \n11.) 12/x = 4/3 → x = 9 feet  \n12.) 1/8 = 4.5/x → x = 36 feet  \n13.) 2/3 = 14/x → x = 21 cups  \n14.) 72/3 = 108/x → x = 4.5 days  \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)","cbCaissHUKE31K4p","https://ap.wps.com/l/cbCaissHUKE31K4p","pdf",724164,"English","# Directions\n## Proportion-solving steps\n# Word Problems\n## Problems 1-14\n# Answer Key","[{\"question\":\"What is the first step for solving each proportion word problem?\",\"answer\":\"Set up a proportion with matching units in matching positions and label what x represents.\"},{\"question\":\"How do you solve the proportion once it is set up?\",\"answer\":\"Cross multiply, then divide to solve for x.\"},{\"question\":\"Why should you check your answer after solving?\",\"answer\":\"The instructions emphasize checking whether the answer makes sense in the context of the problem.\"}]","Solving Proportions—Word Problems (B) - Solving Instructions | PDF",1790143825]