[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-359775-105":59,"doc-detail-359775-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","rate-ratio-word-problemsmulti-step-a","Rate & Ratio Word Problems—Multi-Step (A)","","Rate & Ratio Word Problems—Multi-Step (A) focuses on solving real-world math scenarios using multi-step reasoning. Problems cover ratios in a camp setting, including counselors to campers, singers to dancers, and painters to total campers, with requests for totals and simplified ratio forms. Students also calculate unit rates and convert time for travel and activity questions, such as miles per day, miles traveled with hours, and camper-hours across a full day. An additional challenge problem applies capacity and fuel consumption across multiple buses, requiring totals for both riders and gallons.",{"@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/rate-ratio-word-problemsmulti-step-a/359775/",{"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/rate-ratio-word-problemsmulti-step-a/359775.png","ImageObject",300,407,{"name":92,"@type":93},"Maya Linwood","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",13,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"How do you find the number of counselors when the ratio of counselors to campers is 1:8 and there are 72 campers?","Question",{"text":113,"@type":114},"Use the ratio parts: 72 ÷ 8 = 9. So there are 9 counselors.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"In problem 3, how do you decide which cabin hikes more miles per day and by how much?",{"text":118,"@type":114},"Compute each cabin’s miles per day: Cabin A is 18 ÷ 3 = 6/day, Cabin B is 28 ÷ 4 = 7/day. Cabin B hikes more by 1 mile per day.",{"name":120,"@type":111,"acceptedAnswer":121},"For the challenge problem, how do you calculate gallons of fuel used by all 3 buses?",{"text":122,"@type":114},"Find gallons per bus: 48 miles ÷ 8 miles per gallon = 6 gallons per bus. Then multiply by 3 buses: 6 × 3 = 18 gallons total.","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},359775,1790216620,{"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":81,"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":39,"preview_page_count":4},962084928432,"https://ap-avatar.wpscdn.com/davatar_155a257f0dc6eb9ab79c44ca47cae57d","Name:  \n______________________________________  \nRate & Ratio Word Problems—Multi-Step (A)  \nDirections: Solve each word problem. Each problem requires more than one step. Show all steps clearly.  \n1. A summer camp has counselors and campers in a ratio of 1:8 . There are 72 campers. How many counselors are there?  \nAnswer:    \n2. A camp kitchen prepares meals at a rate of 35 per hour.  \nHow many meals are prepared in a 6-hour day?  \nAnswer:    \n3. Cabin A hiked 18 miles in 3 days. Cabin B hiked 28 miles in 4 days. Which cabin hiked more miles per day, and by how much?  \nAnswer:    \n4. At a camp talent show, singers and dancers are in a ratio of 3:5 .  \nThere are 24 singers. How many dancers are there? How many performers total?  \nAnswer:    \n5. A camp canoe travels at 4 miles per hour. A camper paddles for 45 minutes. How far does the canoe travel?  \nAnswer:    \n6. A camp store earns $120 per day selling supplies.  \nThe camp runs for 6 weeks. How much does the store earn in total?  \nAnswer:    \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 camp of 90 kids was surveyed. 54 chose painting as their favorite activity. Write the ratio of painters to total campers in simplest form. What percent chose painting?  \nAnswer:    \n8. Morning activities run for 3 hours with 15 campers per activity. Afternoon activities run for 2 hours with 20 campers per activity. How many total camper-hours of activity happen in a full day?  \nAnswer:    \n9. A camp trail mixes flat and hilly terrain in a 5:2 ratio.  \nThe entire trail is 14 miles long. How many miles are flat? How many are hilly?  \nAnswer:    \n10. Challenge Problem  \nA camp trip needs 3 buses for 120 campers.  \nEach bus uses fuel at 8 miles per gallon and the trip is 48 miles.  \nHow many campers ride each bus?  \nHow many gallons does each bus use?  \nHow many gallons total for all 3 buses?  \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. 9 counselors (1:8 = ?:72 → 72÷8 = 9)  \n2.) 2. 210 meals (35 × 6 = 210)  \n3.) 3. Cabin B by 1 mile per day (A: 18÷3=6/day. B: 28÷4=7/day. 7−6=1 . )  \n4.) 4. 40 dancers; 64 total (3:5=24:? → 24×(5÷3)=40 . Total=24+40=64 . )  \n5.) 5. 3 miles (45 min = 3/4 hr. 4 × 3/4 = 3 miles. )  \n6.) 6. $5,040 (6 weeks = 42 days. $120 × 42 = $5,040 . )  \n7.) 7. 3:5 and 60% (54:90 → GCF=18 → 3:5 . 54÷90=0 .60=60% . )  \n8.) 8. 85 camper-hours (Morning: 15×3=45 . Afternoon: 20×2=40 . Total=85 . )  \n9.) 9. 10 miles flat; 4 miles hilly (5+2=7 parts. 14÷7=2 per part. Flat=5×2=10 . Hilly=2×2=4 . )  \n10.) Challenge 40 campers/bus; 6 gallons/bus; 18 gallons total (120÷3=40 . 48÷8=6 . 6×3=18 . )  \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)","cbCaihqaAKJzDHpL","https://ap.wps.com/l/cbCaihqaAKJzDHpL","pdf",692553,"English","# Directions\n# Word Problems\n## Ratios and totals\n## Rates and conversions\n## Challenge Problem\n# Answer Key","[{\"question\":\"How do you find the number of counselors when the ratio of counselors to campers is 1:8 and there are 72 campers?\",\"answer\":\"Use the ratio parts: 72 ÷ 8 = 9. So there are 9 counselors.\"},{\"question\":\"In problem 3, how do you decide which cabin hikes more miles per day and by how much?\",\"answer\":\"Compute each cabin’s miles per day: Cabin A is 18 ÷ 3 = 6/day, Cabin B is 28 ÷ 4 = 7/day. Cabin B hikes more by 1 mile per day.\"},{\"question\":\"For the challenge problem, how do you calculate gallons of fuel used by all 3 buses?\",\"answer\":\"Find gallons per bus: 48 miles ÷ 8 miles per gallon = 6 gallons per bus. Then multiply by 3 buses: 6 × 3 = 18 gallons total.\"}]","Rate & Ratio Word Problems—Multi-Step (A) | PDF",1790137782]