[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-361142-105":59,"doc-detail-361142-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","ratio-and-proportion-word-problems-b-solve-all-ratio-and-proportion-problems","Ratio and Proportion Word Problems (B) - Solve all ratio and proportion problems","","A ratio and proportion practice set that teaches students to compare quantities and solve proportion equations. The worksheet provides directions for solving proportions by setting up a/b = c/d, cross-multiplying, and using unit rates by dividing to find amounts per one unit. Students complete eight word problems involving fruit mixes, gas mileage, recipes, map distances, and a time-and-distance challenge, then use the answer key to verify solutions.",{"@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/ratio-and-proportion-word-problems-b-solve-all-ratio-and-proportion-problems/361142/",{"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/ratio-and-proportion-word-problems-b-solve-all-ratio-and-proportion-problems/361142.png","ImageObject",300,407,{"name":92,"@type":93},"Cipher","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-26","2026-09-23",true,{"@type":102,"interactionType":103,"userInteractionCount":44},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What is a ratio, and what is a proportion in these problems?","Question",{"text":112,"@type":113},"A ratio compares two quantities, and a proportion is an equation showing two ratios are equal.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How do you solve a proportion using cross multiplication?",{"text":117,"@type":113},"Set up a/b = c/d, then cross multiply and solve the resulting equation for the unknown value.",{"name":119,"@type":110,"acceptedAnswer":120},"How do you find a distance or quantity using a unit rate?",{"text":121,"@type":113},"Use division to find the amount per one unit, then multiply by the number of units needed for the situation.","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},361142,1790694199,{"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":44,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":19,"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":52,"preview_page_count":4},687208528416,"https://ap-avatar.wpscdn.com/davatar_9964176cb1d06d4a9deccf72a44ae3dc","Name:     \nRatio and Proportion Word Problems (B)  \nDirections: Solve each word problem. Show all of your work.  \nRemember: A ratio compares two quantities. A proportion is an equation showing two ratios are equal. To solve a proportion: set up a/b = c/d, then cross multiply and solve. Unit rate: divide to find the amount per one unit.  \n1. A fruit salad contains 10 strawberries, 6 blueberries, and 4 grapes. Write the ratio of strawberries to total fruit in simplest form. Write it three ways.  \nShow your work:  \n2. A car travels 150 miles on 5 gallons of gas. At this same rate, how far can it travel on 12 gallons?  \nShow your work:  \n3. A baker uses 3 cups of sugar for every 4 cups of flour.  \nIf the baker uses 18 cups of flour, how many cups of sugar are needed?  \nShow your work:  \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)  \n4. A train travels 360 miles in 4 hours. At this same rate, how long will it take the train to travel 270 miles?  \nShow your work:  \n5. On a map, 2 inches represents 75 real miles. If the distance between two cities on the map is 7.5 inches, how many real miles apart are they?  \nShow your work:  \n6. A lemonade recipe calls for 5 lemons for every 2 liters of water. How many lemons are needed to make 10 liters of lemonade?  \nShow your work:  \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)  \n7. A trail mix recipe uses 3 cups of nuts for every 2 cups of dried fruit. A hiker wants to make 20 total cups of trail mix. How many cups of nuts and how many cups of dried fruit does she need?  \nShow your work:  \nChallenge Problem  \n8. Two cities are 4.5 inches apart on a map where 1 inch = 60 miles. A driver averages 45 miles per hour. If he leaves at 9:00 a. m. , what time will she arrive?  \nShow your work:  \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  \n1.) 1. ) Answer: 1:2 (or 1/2 or 1 to 2) Steps: Total: 10+6+4 = 20 pieces of fruit → 10:20 → GCF(10,20)= 10 → 10÷10 : 20÷10 = 1:2  \n2.) 2. ) Answer: 360 miles Steps: Unit rate: 150 ÷ 5 = 30 miles per gallon → 30 × 12 = 360 miles → OR: 150/5 = x/12 → x = 360  \n3.) 3. ) Answer: 13.5 cups of sugar Steps: 3/4 = x/18 → 4x = 3 × 18 = 54 → x = 54 ÷ 4 = 13.5 cups  \n4.) 4. ) Answer: 3 hours Steps: Unit rate: 360 ÷ 4 = 90 miles per hour → 270 ÷ 90 = 3 hours → OR:  \n360/4 = 270/x → x = 3  \n5.) 5. ) Answer: 281.25 miles Steps: 2/75 = 7.5/x → 2x = 75 × 7.5 = 562.5 → x = 562.5 ÷ 2 = 281.25 miles  \n6.) 6. ) Answer: 25 lemons Steps: 5/2 = x/10 → 10 ÷ 2 = 5 → multiply both by 5 → 5 × 5 = 25 lemons  \n7.) 7. ) Answer: 12 cups of nuts, 8 cups of dried fruit Steps: Ratio 3:2 → 3+2 = 5 parts total → 20 ÷ 5 = 4 cups per part → Nuts: 3 × 4 = 12 cups Dried fruit: 2 × 4 = 8 cups Check: 12+8 = 20 ✓  \n8.) 8. ) Answer: 3:00 p.m. Steps: Real distance: 4.5 × 60 = 270 miles → Travel time: 270 ÷ 45 = 6 hours  \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)","cbCailWKmnGUbNwB","https://ap.wps.com/l/cbCailWKmnGUbNwB","pdf",615918,"English","# Ratio and Proportion Practice\n## Problem Solving Directions\n## Word Problems 1-7\n## Challenge Problem 8\n# Answer Key","[{\"question\":\"What is a ratio, and what is a proportion in these problems?\",\"answer\":\"A ratio compares two quantities, and a proportion is an equation showing two ratios are equal.\"},{\"question\":\"How do you solve a proportion using cross multiplication?\",\"answer\":\"Set up a/b = c/d, then cross multiply and solve the resulting equation for the unknown value.\"},{\"question\":\"How do you find a distance or quantity using a unit rate?\",\"answer\":\"Use division to find the amount per one unit, then multiply by the number of units needed for the situation.\"}]","Ratio and Proportion Word Problems (B) - Solve all ratio and proportion problems | PDF",1790143253]