[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-361147-105":59,"doc-detail-361147-en":131},{"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":124,"head_meta":126,"extra_data":128,"updated_unix":130},105,"en","ratios-rates-and-proportionsword-problems-b","Ratios, Rates, and Proportions—Word Problems (B)","","Ratios, rates, and proportions word problems practice problems designed for setting up and solving equations or proportions. Students compute distances, time, costs per unit, recipe quantities, blueprint scale conversions, scaling quantities for printers and workers, and mixture ratios. The worksheet includes a unit-focused answer key covering travel speed, filling tanks, dripping faucets, payroll totals, percent discounts, and similar-rectangle proportional dimensions, emphasizing checking whether results make sense in context.",{"@graph":69,"@context":123},[70,84,106],{"@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/ratios-rates-and-proportionsword-problems-b/361147/",{"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/ratios-rates-and-proportionsword-problems-b/361147.png","ImageObject",300,407,{"name":92,"@type":93},"Cipher","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-02","2026-09-23",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",17,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"How should each ratio, rate, or proportion problem be solved?","Question",{"text":113,"@type":114},"Set up a proportion or equation, label what x represents, and show your work including units in the answer.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"Which types of situations are included in these problems?",{"text":118,"@type":114},"They cover travel distance from speed and time, unit cost comparisons, recipe batching, blueprint scale, shadows and heights, filling tanks, work rates, and mixture ratios.",{"name":120,"@type":111,"acceptedAnswer":121},"Is there an answer key provided?",{"text":122,"@type":114},"Yes. The document includes an answer key listing the solution steps and final results for problems 1 through 16.","https://schema.org",{"og:url":83,"og:type":125,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":127,"canonical":83},"index,follow",{"doc_id":129,"site_id":62},361147,1790191812,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":134,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":19,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":144,"read_time":52,"preview_page_count":4},687208528416,"https://ap-avatar.wpscdn.com/davatar_9964176cb1d06d4a9deccf72a44ae3dc","Name:  \n______________________________________  \nRatios, Rates, and Proportions—Word Problems (B)  \nRemember: Set up a proportion or equation for each problem. Label what x represents. Show your work  \nand include units in your answer. Check: does your answer make sense in context?  \nDirections: Set up and solve each problem. Show your work and include units.  \n1.) A train travels 90 mph. How far in 2.5 hours?  \n2.) Store A: 8 oz for $2.00. Store B: 14 oz for $3.22. Which is the better deal?  \n3.) A recipe uses 2/3 cup sugar per batch. How much for 6 batches?  \n4.) A blueprint uses 1 cm = 4 m. A room is 6.5 cm on blueprint. How wide is the actual room?  \n5.) A school bought 6 printers for $1,980 . How much for 9 printers?  \n6.) A 5 ft person casts an 8 ft shadow. A tree casts a 32 ft shadow. How tall is the tree?  \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 swimmer covers 5/6 lap per minute. How many laps in 18 minutes?  \n8.) A hose fills a tank at 3/4 gallon per minute. How long to fill a 30-gallon tank?  \n9.) If 12 workers paint a building in 5 days, how long for 15 workers?  \n10.) A trail mix uses nuts to raisins in a 3:4 ratio. How many cups of raisins in 21 cups total?  \n11.) A survey: 5 of every 9 students prefer online learning. From 180 students, how many prefer online?  \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)  \n12.) A Mars rover travels 0.4 km/hr. How far in 8.5 hours?  \n13.) Two similar rectangles: small is 4×7 cm. Large has width 12 cm. Find the length.  \n14.) A leaky faucet drips 5/6 cup per hour. How many hours to drip 10 cups?  \n15.) A store discounts items 25% . A jacket costs $64. What is the sale price?  \n16.) Carlos earns $11 .25/hr. He works 4 hrs Mon, 5 hrs Wed, 6 hrs Fri. How much total?  \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.) d=90×2 .5 → 225 miles  \n2.) A:$0 .25/oz. B:$0 .23/oz. → Store B ($0.23/oz)  \n3.) 2/3×6 → 4 cups  \n4.) 1/4=6 .5/x → 26 meters  \n5.) 6/1980=9/x → $2,970  \n6.) 5/8=x/32 → 20 feet  \n7.) 5/6×18 → 15 laps  \n8.) (3/4)/1=30/x → 40 minutes  \n9.) 12×5=60 worker-days; 60÷15 → 4 days  \n10.) 4/7×21 → 12 cups  \n11.) 5/9=x/180 → 100 students  \n12.) 0.4×8 .5 → 3.4 km  \n13.) 4/7=12/x → 21 cm  \n14.) (5/6)/1=10/x → 12 hours  \n15.) 25/100=x/64; x=16; 64−16 → $48  \n16.) y=11 .25x; 11.25×15 → $168.75  \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)","cbCaifTejxhChM2i","https://ap.wps.com/l/cbCaifTejxhChM2i","pdf",1137541,"English","# Directions\n## Problems 1-16\n## Answer Key","[{\"question\":\"How should each ratio, rate, or proportion problem be solved?\",\"answer\":\"Set up a proportion or equation, label what x represents, and show your work including units in the answer.\"},{\"question\":\"Which types of situations are included in these problems?\",\"answer\":\"They cover travel distance from speed and time, unit cost comparisons, recipe batching, blueprint scale, shadows and heights, filling tanks, work rates, and mixture ratios.\"},{\"question\":\"Is there an answer key provided?\",\"answer\":\"Yes. The document includes an answer key listing the solution steps and final results for problems 1 through 16.\"}]","Ratios, Rates, and Proportions—Word Problems (B) | PDF",1790143275]