[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-480757-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-480757-en":130},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":74,"head_meta":76,"extra_data":78,"updated_unix":80},105,"en","writing-both-unit-rates-for-a-ratio-480757","Writing Both Unit Rates for a Ratio","","Practice worksheet focused on writing both unit rates for ratios. Each problem gives a context and asks two reciprocal comparisons, such as joints per minute and minutes per joint, cans per dollar and dollars per can, or bottles per hour and hours per bottle. An answer key supplies the computed unit-rate pairs for several items, reinforcing consistent unit conversion and proportional reasoning across multiple real-world scenarios.",{"@graph":14,"@context":73},[15,34,56],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/writing-both-unit-rates-for-a-ratio-480757/480757/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/writing-both-unit-rates-for-a-ratio-480757/480757.png","ImageObject",300,407,{"name":42,"@type":43},"Bulrr","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-03","2026-09-30",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",7,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"What does it mean to write both unit rates for a ratio?","Question",{"text":63,"@type":64},"For each scenario, compute two reciprocal unit rates: one rate using the first quantity as the numerator, and the other using the second quantity as the numerator.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"What types of questions are included in the worksheet?",{"text":68,"@type":64},"The worksheet uses real-world examples and asks for unit rates like joints per minute and minutes per joint, cans per dollar and dollars per can, and bottles per hour and hours per bottle.",{"name":70,"@type":61,"acceptedAnswer":71},"How is the answer key organized?",{"text":72,"@type":64},"It lists the computed unit-rate answers for each numbered problem, matching the questions in the main practice section.","https://schema.org",{"og:url":32,"og:type":75,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":77,"canonical":32},"index,follow",{"doc_id":79,"site_id":7},480757,1792887167,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,100,105,109,114,119,122,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":85,"show_sort_weight":86,"slug":87},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":89,"show_sort_weight":90,"slug":91},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":93,"slug":94},70,"exam",{"id":96,"doc_module":4,"doc_module_name":25,"category_name":97,"show_sort_weight":98,"slug":99},5,"Comic",60,"comic",{"id":101,"doc_module":4,"doc_module_name":25,"category_name":102,"show_sort_weight":103,"slug":104},6,"Technology",50,"technology",{"id":55,"doc_module":4,"doc_module_name":25,"category_name":106,"show_sort_weight":107,"slug":108},"Healthcare",40,"healthcare",{"id":110,"doc_module":4,"doc_module_name":25,"category_name":111,"show_sort_weight":112,"slug":113},8,"Research & Report",30,"research-report",{"id":115,"doc_module":4,"doc_module_name":25,"category_name":116,"show_sort_weight":117,"slug":118},9,"Religion & Spirituality",20,"religion-spirituality",{"id":117,"doc_module":4,"doc_module_name":25,"category_name":120,"show_sort_weight":117,"slug":121},"World Cup","world-cup",{"id":123,"doc_module":4,"doc_module_name":25,"category_name":124,"show_sort_weight":123,"slug":125},10,"Lifestyle","lifestyle",{"id":127,"doc_module":4,"doc_module_name":25,"category_name":128,"show_sort_weight":96,"slug":129},19,"General","general",{"code":4,"msg":82,"data":131},{"doc_id":79,"user_id":132,"nickname":42,"user_avatar":133,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":30,"language":139,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":12,"update_tm":143,"read_time":110},5909892115043,"https://ap-avatar.wpscdn.com/davatar_6f874abed73319feea01a86fa6f0fab8","Writing Both Unit Rates for a Ratio  \nName:  \n\n| Write both unit rates for each problem.\u003Cbr>1) A robot welded 120 joints in 6 minutes.\u003Cbr>How many joints per minute?  \u003Cbr>How many minutes per joint?   |  | Answers\u003Cbr>1.  \u003Cbr>2.   |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) A vending machine dispensed 8 cans for 2 dollars.\u003Cbr>How many cans per dollar?  \u003Cbr>How many dollars per can?   |  | 3.  \u003Cbr>4.   |  |  |  |  |  |  |  |\n| 3) A stapler used 70 staples across 7 projects.\u003Cbr>How many staples per project?  \u003Cbr>How many projects per staple?   |  | 5.  \u003Cbr>6.  \u003Cbr>7.   |  |  |  |  |  |  |  |\n| 4) A factory made 100 bottles in 4 hours.\u003Cbr>How many bottles per hour?  \u003Cbr>How many hours per bottle?   |  | 8.   |  |  |  |  |  |  |  |\n| 5) A machine stamped 60 labels in 6 seconds.\u003Cbr>How many labels per second?  \u003Cbr>How many seconds per label?   |  |  |  |  |  |  |  |  |  |\n| 6) Frank read 140 pages in 7 hours.\u003Cbr>How many pages per hour?  \u003Cbr>How many hours per page?   |  |  |  |  |  |  |  |  |  |\n| 7) Maria stacked 120 books on 6 shelves.\u003Cbr>How many books per shelf?  \u003Cbr>How many shelves per book?   |  |  |  |  |  |  |  |  |  |\n| 8) A cannery filled 8 tins in 2 minutes. How many tins per minute?   How many minutes per tin?   |  |  |  |  |  |  |  |  |  |\n| 1-8 | 88 |  | 75 | 63 | 50 | 38 | 25 | 13 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 7)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 7)[ 7](Math www.CommonCoreSheets.com 7)  \nWriting Both Unit Rates for a Ratio  \nName: Answer Key  \n\n| Write both unit rates for each problem.\u003Cbr>1) A robot welded 120 joints in 6 minutes.\u003Cbr>How many joints per minute?  \u003Cbr>How many minutes per joint?   |  | Answers\u003Cbr>1.  20, 0.05 \u003Cbr>2.  4, 0.25  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) A vending machine dispensed 8 cans for 2 dollars.\u003Cbr>How many cans per dollar?  \u003Cbr>How many dollars per can?   |  | 3.  10, 0.1  4.  25, 0.04  |  |  |  |  |  |  |  |\n| 3) A stapler used 70 staples across 7 projects. How many staples per project?   How many projects per staple?   |  | 5.  10, 0.1  6.  20, 0.05 \u003Cbr>7.  20, 0.05  |  |  |  |  |  |  |  |\n| 4) A factory made 100 bottles in 4 hours.\u003Cbr>How many bottles per hour?  \u003Cbr>How many hours per bottle?   |  | 8.  4, 0.25  |  |  |  |  |  |  |  |\n| 5) A machine stamped 60 labels in 6 seconds.\u003Cbr>How many labels per second?  \u003Cbr>How many seconds per label?   |  |  |  |  |  |  |  |  |  |\n| 6) Frank read 140 pages in 7 hours.\u003Cbr>How many pages per hour?  \u003Cbr>How many hours per page?   |  |  |  |  |  |  |  |  |  |\n| 7) Maria stacked 120 books on 6 shelves.\u003Cbr>How many books per shelf?  \u003Cbr>How many shelves per book?   |  |  |  |  |  |  |  |  |  |\n| 8) A cannery filled 8 tins in 2 minutes. How many tins per minute?   How many minutes per tin?   |  |  |  |  |  |  |  |  |  |\n| 1-8 | 88 |  | 75 | 63 | 50 | 38 | 25 | 13 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 7)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 7)[ 7](Math www.CommonCoreSheets.com 7)  \nWriting Both Unit Rates for a Ratio  \nName:  \n\n| Write both unit rates for each problem.\u003Cbr>1) A robot welded 120 joints in 6 minutes.\u003Cbr>How many joints per minute?  \u003Cbr>How many minutes per joint?   | Answers\u003Cbr>1.  \u003Cbr>2.   |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) A vending machine dispensed 8 cans for 2 dollars. How many cans per dollar?  \u003Cbr>How many dollars per can?   | 3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.   |  |  |  |  |  |  |\n| 3) A stapler used 70 staples across 7 projects.\u003Cbr>How many staples per project?  \u003Cbr>How many projects per staple?   |  |  |  |  |  |  |  |\n| 4) A factory made 100 bottles in 4 hours. How many bottles per hour?   How many hours per bottle?   |  |  |  |  |  |  |  |\n| 5) A machine stamped 60 labels in 6 seconds. How many labels per second?   How many seconds per label?   |  |  |  |  |  |  |  |\n| 6) Frank read 140 pages in 7 hours. How many pages per hour? ","cbCainLBvFVLOcOt","https://ap.wps.com/l/cbCainLBvFVLOcOt","pdf",41338,"English","# Unit Rate Problems\n## Problem Set 1–8\n## Answer Key","[{\"question\":\"What does it mean to write both unit rates for a ratio?\",\"answer\":\"For each scenario, compute two reciprocal unit rates: one rate using the first quantity as the numerator, and the other using the second quantity as the numerator.\"},{\"question\":\"What types of questions are included in the worksheet?\",\"answer\":\"The worksheet uses real-world examples and asks for unit rates like joints per minute and minutes per joint, cans per dollar and dollars per can, and bottles per hour and hours per bottle.\"},{\"question\":\"How is the answer key organized?\",\"answer\":\"It lists the computed unit-rate answers for each numbered problem, matching the questions in the main practice section.\"}]","Writing Both Unit Rates for a Ratio | PDF",1790795541]