[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-359208-105":59,"doc-detail-359208-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-proportions-word-problems-a","Ratios, Rates, and Proportions - Word Problems (A)","","Ratios, rates, and proportions word problems (A) guide students to set up an equation or proportion for each scenario, solve for the unknown, and include units. Problems cover distance traveled using speed and time, unit rates for shampoo pricing, recipe scaling, map scale measurements, laptop purchasing cost, shadow and height relationships, cyclist and tank-filling rates, worker time, juice-to-soda mixing ratios, cookie counts from fractional sales, rocket travel distance, similar-triangle side lengths, and drain time. An answer key provides final results.",{"@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-proportions-word-problems-a/359208/",{"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-proportions-word-problems-a/359208.png","ImageObject",300,407,{"name":92,"@type":93},"Jake","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/vnd.openxmlformats-officedocument.wordprocessingml.document","2026-10-24","2026-09-23",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",11,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What is the main task for each word problem in Ratios, Rates, and Proportions (A)?","Question",{"text":113,"@type":114},"Set up a proportion or equation, label what x represents, and solve while showing work and including units in the answers.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"How do students decide whether to use a ratio or a rate?",{"text":118,"@type":114},"Use ratios for comparisons like mixing or part-to-whole relationships, and use rates for per-unit quantities such as miles per hour or gallons per minute.",{"name":120,"@type":111,"acceptedAnswer":121},"What does the answer key include for this worksheet?",{"text":122,"@type":114},"It lists the numbered solutions with the key equation steps and final answers for each problem.","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},359208,1790489664,{"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},962084928904,"https://ap-avatar.wpscdn.com/davatar_155a257f0dc6eb9ab79c44ca47cae57d","Name: ______________________________________\nRemember: Set up a proportion or equation for each problem. Label what x represents. Show your work and include units in your answer. Check: does your answer make sense in context?\nRatios, Rates, and Proportions — Word Problems (A)\nDirections: Set up and solve each problem. Show your work and include units.\nA car travels at a speed of 65 mph. At that rate, how far will the car travel in 3.5 hours?\nStore A sells 12 oz of shampoo for $3.60. Store B sells 20 oz of shampoo for $5.80.\nWhich store offers the better deal? Explain.\nA recipe uses \u001a3\u001b4\u001b cup butter per dozen granola bars. How much butter is needed to make 5 dozen bars?\nA map uses the scale: 1 in = 30 mi. If two cities are 4.5 in apart on the map, how far apart are they in real life?\nA school bought 8 laptops for $6,400. At this rate, how much would 5 laptops cost?\nA 6 ft person casts a 9 ft shadow. At the same time, a building casts a 45 ft shadow.\nHow tall is the building?\nA cyclist rides at \u001a3\u001b5\u001b km per minute. At this rate, how far can the cyclist travel in 25 minutes?\nA tank fills at \u001a2\u001b3\u001b gallon per minute. How many minutes will it take to fill a 20-gallon tank?\nIf 15 workers build a wall in 4 days, how long will it take 12 workers to build the same wall?\nA fruit punch uses juice to soda in a 2:5 ratio. How many cups of juice in 28 cups total?\nAt a bake sale, 3 of every 8 items are cookies. If 96 items sold, how many cookies were sold in total?\nA rocket travels 9 billion km in 5 years. How far will it travel in 8 years?\nTwo similar triangles: small sides 5 and 8. Large has shortest side 15. Find longest side.\nA bathtub drains \u001a3\u001b8\u001b gallon per second. How long will it take to drain 24 gallons?\nA store marks up items 40% above cost. If an item costs $35, what is the selling price?\nMia earns $8.50/hr. She works 6 hours on Saturday and 4 hours on Sunday.\nHow much money did she earn in total?\nANSWER KEY\n1.)  d=65×3.5  →  227.5 miles\n2.)  A:$0.30/oz. B:$0.29/oz.  →  Store B ($0.29/oz)\n3.)  3/4×5=15/4  →  3¾ cups\n4.)  1/30=4.5/x  →  135 miles\n5.)  8/6400=5/x  →  $4,000\n6.)  6/9=x/45  →  30 feet\n7.)  3/5×25  →  15 km\n8.)  (2/3)/1=20/x → x=30  →  30 minutes\n9.)  15×4=60 worker-days; 60÷12  →  5 days\n10.)  2/7×28  →  8 cups\n11.)  3/8=x/96  →  36 cookies\n12.)  9/5=x/8  →  14.4 billion km\n13.)  5/8=15/x  →  24\n14.)  (3/8)/1=24/x  →  64 seconds\n15.)  40/100=x/35; x=14; 35+14  →  $49\n16.)  y=8.50x; 8.50×10  →  $85","cbCaiczWxWfFfU3y","https://ap.wps.com/l/cbCaiczWxWfFfU3y","docx",2278470,"English","# Ratios, Rates, and Proportions - Word Problems (A)\n## Directions\n## Problems and Answer Key","[{\"question\":\"What is the main task for each word problem in Ratios, Rates, and Proportions (A)?\",\"answer\":\"Set up a proportion or equation, label what x represents, and solve while showing work and including units in the answers.\"},{\"question\":\"How do students decide whether to use a ratio or a rate?\",\"answer\":\"Use ratios for comparisons like mixing or part-to-whole relationships, and use rates for per-unit quantities such as miles per hour or gallons per minute.\"},{\"question\":\"What does the answer key include for this worksheet?\",\"answer\":\"It lists the numbered solutions with the key equation steps and final answers for each problem.\"}]","Ratios, Rates, and Proportions - Word Problems (A) | DOCX",1790136418]