[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-638122-105":3,"detail-sidebar-cat-0-en-105":85,"doc-detail-638122-en":134},{"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":78,"head_meta":80,"extra_data":82,"updated_unix":84},105,"en","mixed-ratio-problems-72-answers","MIXED RATIO PROBLEMS 7:2 - Answers","","Practice set focused on solving mixed ratio problems for grade-level learners. Covers real-world ratio contexts including scale drawing for map distance, recipe scaling for flour quantities, paint mixing based on blue-to-yellow ratios, speed comparisons from travel time conversions, data-plan pricing using GB-to-cost ratios, and basketball practice free-throw calculations from layup/free-throw proportions. Provides both problem statements and stepwise solutions leading to final numeric answers.",{"@graph":14,"@context":77},[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/mixed-ratio-problems-72-answers/638122/",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/mixed-ratio-problems-72-answers/638122.png","ImageObject",300,407,{"name":42,"@type":43},"anakgang17","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-31","2026-10-22",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",6,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69,73],{"name":60,"@type":61,"acceptedAnswer":62},"How do you find the real distance between two towns using a map scale ratio?","Question",{"text":63,"@type":64},"Use the given scale to convert the map measurement to miles by forming equivalent ratios, then compute the product to get the real distance.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"How do you scale a recipe from making 24 cookies to making 40 cookies?",{"text":68,"@type":64},"Start from the given flour-to-cookie relationship, determine how many cookies correspond to the current flour amount, then use division and multiplication to scale flour to match 40 cookies.",{"name":70,"@type":61,"acceptedAnswer":71},"How do you determine blue and yellow paint amounts from a paint mixing ratio?",{"text":72,"@type":64},"Convert the mixed paint volume to total parts (blue:yellow), find the value per part, then multiply by the blue and yellow part counts to get the fluid ounces.",{"name":74,"@type":61,"acceptedAnswer":75},"How do you calculate the number of free throws when total shots are given?",{"text":76,"@type":64},"Use the layups-to-free-throws ratio to find the total ratio parts, divide the total shots by the total parts to get the multiplier, then multiply by the free-throw part count.","https://schema.org",{"og:url":32,"og:type":79,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":81,"canonical":32},"index,follow",{"doc_id":83,"site_id":7},638122,1792833323,{"code":4,"msg":86,"data":87},"success",[88,92,96,99,104,108,113,118,123,126,130],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":89,"show_sort_weight":90,"slug":91},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":93,"show_sort_weight":94,"slug":95},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":97,"slug":98},70,"exam",{"id":100,"doc_module":4,"doc_module_name":25,"category_name":101,"show_sort_weight":102,"slug":103},5,"Comic",60,"comic",{"id":55,"doc_module":4,"doc_module_name":25,"category_name":105,"show_sort_weight":106,"slug":107},"Technology",50,"technology",{"id":109,"doc_module":4,"doc_module_name":25,"category_name":110,"show_sort_weight":111,"slug":112},7,"Healthcare",40,"healthcare",{"id":114,"doc_module":4,"doc_module_name":25,"category_name":115,"show_sort_weight":116,"slug":117},8,"Research & Report",30,"research-report",{"id":119,"doc_module":4,"doc_module_name":25,"category_name":120,"show_sort_weight":121,"slug":122},9,"Religion & Spirituality",20,"religion-spirituality",{"id":121,"doc_module":4,"doc_module_name":25,"category_name":124,"show_sort_weight":121,"slug":125},"World Cup","world-cup",{"id":127,"doc_module":4,"doc_module_name":25,"category_name":128,"show_sort_weight":127,"slug":129},10,"Lifestyle","lifestyle",{"id":131,"doc_module":4,"doc_module_name":25,"category_name":132,"show_sort_weight":100,"slug":133},19,"General","general",{"code":4,"msg":86,"data":135},{"doc_id":83,"user_id":136,"nickname":42,"user_avatar":137,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":138,"file_id":139,"file_url":140,"file_type":141,"file_size":142,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":26,"language":143,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":144,"faqs":145,"seo_title":146,"seo_description":12,"update_tm":147,"read_time":100},962090883568,"https://ap-avatar.wpscdn.com/davatar_a8503ba1806abce46bf441b54a3ca4cd","MIXED RATIO PROBLEMS 7:2  \n\n| 1. Scale Drawing – Map Distance\u003Cbr>A map uses a scale of 1 cm : 4 miles.\u003Cbr>Two towns are 7 ½ cm apart on the map.\u003Cbr>What is the real distance between them? | |  |  |  |\n| --- | --- | --- | --- | --- |\n| 2. Recipe Scaling\u003Cbr>A typical cookie dough uses flour to sugar to butter in the ratio 3:1:2 .\u003Cbr>If I use 3 cups of flour, 1 cup of sugar and 2 cups of butter it makes 24 cookies.\u003Cbr>How much flour is needed to make 40 cookies?\u003Cbr>|  |  |  |  |\n| 3. Mixing Paint\u003Cbr>To make a shade of green paint, the ratio of blue paint to yellow paint is 3 : 5.\u003Cbr>I mix up ¾ pint of green paint.\u003Cbr>How many fluid ounces of blue and yellow paint did I use?\u003Cbr>|  |  |  |  |\n| 4. Comparing Speeds\u003Cbr>A cyclist travels at an average speed of 12 miles every 45 minutes.\u003Cbr>At this speed, how far will they travel in 2 hours?  |  |  |  |  |\n| 5. Phone Data\u003Cbr>A mobile phone plan charges $11 for every 4 GB of data. At the same rate, how much would 6 GB of data cost? |  | |  |  |\n| 6. Basketball Practice\u003Cbr>During drills, the coach wants players to take layups and free throws in a ratio of 5: 3.\u003Cbr>If a player takes 72 shots, how many should be free throws? |  |  | |  |\n\nMIXED RATIO PROBLEMS 7:2 ANSWERS  \n\n| 1. Scale Drawing – Map Distance\u003Cbr>A map uses a scale of 1 cm : 4 miles.\u003Cbr>Two towns are 7 ½ cm apart on the map.\u003Cbr>What is the real distance between them? | |  |  | 1 cm : 4 miles\u003Cbr>7 cm : 28 miles\u003Cbr>½ cm : 2 miles\u003Cbr>7 ½ cm : 30 miles The distance between them is 30 miles. |\n| --- | --- | --- | --- | --- |\n| 2. Recipe Scaling\u003Cbr>A typical cookie dough uses flour to sugar to butter in the ratio\u003Cbr>3:1:2 .\u003Cbr>If I use 3 cups of flour, 1 cup of sugar and 2 cups of butter it makes 24 cookies.\u003Cbr>How much flour is needed to make 40 cookies? |  |  | | 3 cups of flour : 24 cookies → divide by 3\u003Cbr>1 cup of flour : 8 cookies\u003Cbr>40 ÷ 8 = 5 so multiply by 5\u003Cbr>5 cups of flour : 40 cookies We need 5 cups of flour. |\n| 3. Mixing Paint\u003Cbr>To make a shade of green paint, the ratio of blue paint to yellow paint is 3 : 5.\u003Cbr>I mix up ¾ pint of green paint.\u003Cbr>How many fluid ounces of blue and yellow paint did I use?\u003Cbr>|  |  |  | 1 pint = 16 fluid ounces\u003Cbr>¾ pint = ¾ x 16 = 12 fluid ounces 3 blue : 5 yellow\u003Cbr>3 + 5 = 8\u003Cbr>12 ÷ 8 = 1 ½ so multiply by 1 ½\u003Cbr>4 ½ blue : 7 ½ yellow We need 4 ½ fluid ounces of blue and 7 ½ fluid ounces of yellow paint. |\n| 4. Comparing Speeds\u003Cbr>A cyclist travels at an average speed of 12 miles every 45 minutes.\u003Cbr>At this speed, how far will they travel in 2 hours?  |  |  |  | 12 miles : 45 minutes\u003Cbr>→ divide by 3\u003Cbr>4 miles : 15 minutes\u003Cbr>→ multiply by 4\u003Cbr>16 miles : 60 minutes (1 hour)\u003Cbr>→ multiply by 2\u003Cbr>Answer 32 miles in 2 hours |\n| 5. Phone Data\u003Cbr>A mobile phone plan charges $11 for every 4 GB of data.\u003Cbr>At the same rate, how much would 6 GB of data cost? |  | |  | $11 : 4 GB\u003Cbr>→ divide by 2\u003Cbr>$5.50 : 2 GB\u003Cbr>→ multiply by 3\u003Cbr>$16.50 : 6 GB\u003Cbr>So 6 GB costs $16.50 |\n| 6. Basketball Practice\u003Cbr>During drills, the coach wants players to take layups and free throws in a ratio of 5: 3.\u003Cbr>If a player takes 72 shots, how many should be free throws? |  |  | | 5 layups : 3 free throws Total is 5 + 3 = 8\u003Cbr>72 ÷ 8 = 9 so multiply by 9\u003Cbr>5 x 9 = 45 layups\u003Cbr>3 x 9 = 27 free throws So 27 shots are free throws |","cbCaijy3xJBF06uG","https://ap.wps.com/l/cbCaijy3xJBF06uG","pdf",364001,"English","# Mixed Ratio Problems 7:2 - Answers\n## Scale Drawing – Map Distance\n## Recipe Scaling\n## Mixing Paint\n## Comparing Speeds\n## Phone Data\n## Basketball Practice","[{\"question\":\"How do you find the real distance between two towns using a map scale ratio?\",\"answer\":\"Use the given scale to convert the map measurement to miles by forming equivalent ratios, then compute the product to get the real distance.\"},{\"question\":\"How do you scale a recipe from making 24 cookies to making 40 cookies?\",\"answer\":\"Start from the given flour-to-cookie relationship, determine how many cookies correspond to the current flour amount, then use division and multiplication to scale flour to match 40 cookies.\"},{\"question\":\"How do you determine blue and yellow paint amounts from a paint mixing ratio?\",\"answer\":\"Convert the mixed paint volume to total parts (blue:yellow), find the value per part, then multiply by the blue and yellow part counts to get the fluid ounces.\"},{\"question\":\"How do you calculate the number of free throws when total shots are given?\",\"answer\":\"Use the layups-to-free-throws ratio to find the total ratio parts, divide the total shots by the total parts to get the multiplier, then multiply by the free-throw part count.\"}]","MIXED RATIO PROBLEMS 7:2 - Answers | PDF",1792682169]