[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-638123-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-638123-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","mixed-ratio-problems-73","MIXED RATIO PROBLEMS 7:3","","Mixed ratio problems practice solving for unknown quantities using given part-to-part ratios. The set includes real-world contexts such as fish and pizza toppings, converting coin values in a game, finding real distances from a scale drawing, determining fruit amounts from a mango–pineapple ratio, completing a time–distance ratio table for a road trip, and calculating taxi distance from a base fare plus per-mile cost. Each problem is followed by an answer solution with ratio steps.",{"@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/mixed-ratio-problems-73/638123/",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-73/638123.png","ImageObject",300,407,{"name":42,"@type":43},"anakgang17","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-01","2026-10-22",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",8,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"How do you find the missing quantity in a mixed ratio word problem?","Question",{"text":63,"@type":64},"Set up equivalent ratios, scale from the given part to match the known amount, then multiply to get the unknown part (or divide first to find the unit amount).","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"What is the method for converting between two related quantities (like coins valued by ratio)?",{"text":68,"@type":64},"Use the given ratio to convert the starting quantity into the equivalent value units, then compare against the target to determine the remaining amount needed.",{"name":70,"@type":61,"acceptedAnswer":71},"How do you compute real length from a scale drawing ratio?",{"text":72,"@type":64},"Use the scale to convert the drawn measurement into real units by multiplying by the real-units factor implied by the ratio.","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},638123,1793037139,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,100,105,110,114,119,122,126],{"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":106,"doc_module":4,"doc_module_name":25,"category_name":107,"show_sort_weight":108,"slug":109},7,"Healthcare",40,"healthcare",{"id":55,"doc_module":4,"doc_module_name":25,"category_name":111,"show_sort_weight":112,"slug":113},"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":26,"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":96},962090883568,"https://ap-avatar.wpscdn.com/davatar_a8503ba1806abce46bf441b54a3ca4cd","MIXED RATIO PROBLEMS 7:3  \n\n| 1. Aquarium Fish |  |  |\n| --- | --- | --- |\n| A pet store keeps guppies and tetras in a ratio of 7: 9. | |  |\n| If there are 42 guppies, how many tetras are there? |  |  |\n| 2. Pizza Toppings |  |  |\n| A pizza shop makes a special pizza using pepperoni and mushrooms in a ratio of 5: 2. |  |  |\n| If a large batch uses 125 slices of pepperoni, how many mushroom |  |  |\n| slices are needed? |  |  |\n| 3. Video Game Points |  |  |\n| In a game, you have to collect gold and silver coins. The coins are |  |  |\n| valued with ratio 1 gold coin : 15 silver coins. | |  |\n| To win the game, you need to collect the equivalent of 10 gold coins. |  |  |\n| So far Captain has 7 gold coins and 42 silver coins. How much more |  |  |\n| does he need? |  |  |\n| 4. Scale Drawing – Skate Park |  |  |\n| A skate park blueprint uses a scale of 1 in: 3 ft. |  |  |\n| A ramp is drawn as 4 ¼ in long. How long is the real ramp? |  |  |\n| 5) Smoothie Bar |  |  |\n| A smoothie uses mango and pineapple in a ratio of 3: 5. |  |  |\n| If the smoothie contains 100 oz of both fruit, how many ounces of |  |  |\n| mango are used? |  |  |\n| 6) Ratio Table – Road Trip |  |  |\n| Captain travels 180 miles in 3 hours at a steady speed. Complete the ratio table: |  |  |\n| Time (hours) 3 5 7 10 Distance (mi)\u003Cbr>|  |  |\n| 7) Anyone for a taxi? |  |  |\n| A taxi charges a base fare (flag drop) fee of $10 plus a distance fee of $1.50 for every mile. |  |  |\n| Tyger pays $28 for his taxi fare. How far did he travel? |  |  |\n\nMIXED RATIO PROBLEMS 7:3 ANSWERS  \n\n| 1) Aquarium Fish\u003Cbr>A pet store keeps guppies and tetras in a ratio of 7: 9.\u003Cbr>If there are 42 guppies, how many tetras are there? |  |  |  |  |  | |  | 7 guppies : 9 tetras\u003Cbr>63 guppies : ? tetras\u003Cbr>42 ÷ 7 = 6 so multiply by 6\u003Cbr>9 tetras x 6 = 54 There are 54 tetras. |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) Pizza Toppings\u003Cbr>A pizza shop makes a special pizza using pepperoni and mushrooms in a ratio of 5: 2.\u003Cbr>If a large batch uses 125 slices of pepperoni, how many mushroom slices are needed?\u003Cbr>|  |  |  |  |  |  |  | 5 pepperoni : 2 mushrooms\u003Cbr>125 pepperoni : ? mushrooms\u003Cbr>125 ÷ 5 = 25 so multiply by 25\u003Cbr>2 mushrooms x 25 = 50 So 50 mushroom slices are needed |\n| 3) Video Game Points\u003Cbr>In a game, you have to collect gold and silver coins. The coins are\u003Cbr>valued with ratio 1 gold coin : 15 silver coins. \u003Cbr>To win the game, Captain needs to collect the equivalent of 10 gold coins.\u003Cbr>So far he has 7 gold coins and 42 silver coins. How much more does he need?\u003Cbr>|  |  |  |  |  |  |  | 1 gold : 15 silver Convert 42 silver to gold\u003Cbr>2 gold : 30 silver\u003Cbr>So 42 silver = 2 gold 12 silver 7 gold 42 silver = 9 gold 12 silver.\u003Cbr>He needs 3 more silver coins. |\n| 4) Scale Drawing – Skate Park\u003Cbr>A skate park blueprint uses a scale of 1 in: 3 ft.\u003Cbr>A ramp is drawn as 4 ¼ in long. How long is the real ramp? |  |  |  |  |  | |  | 1 in : 3 ft\u003Cbr>4 ¼ in : ? ft\u003Cbr>3 x 4 ¼ = (3 x 4) + (3 x ¼) = 12 + ¾ = 12 ¾\u003Cbr>So 4 ¼ in : 12 ¾ ft\u003Cbr>The real ramp is 12 ¾ ft long |\n| 5) Smoothie Bar\u003Cbr>A smoothie uses mango and pineapple in a ratio of 3: 5.\u003Cbr>If the smoothie contains 100 oz of both fruit, how many ounces of mango are used? |  |  |  |  |  |  | | 3 mango : 5 pineapple Total is 3 + 5 = 8\u003Cbr>100 oz ÷ 8 = 12 ½ so multiply by 12 ½\u003Cbr>3 oz x 12 ½ = (3 x 12) + (3 x ½)= 36 + 1 ½ = 37 ½\u003Cbr>37 ½ oz of mango are needed |\n| 6) Ratio Table – Road Trip\u003Cbr>Captain travels 180 miles in 3 hours at a steady speed. Complete the ratio table: |  |  |  |  |  |  |  | 3 hours : 180 miles\u003Cbr>→ divide by 3\u003Cbr>1 hour : 60 miles\u003Cbr>5 hours : 60 x 5 = 300 miles\u003Cbr>7 hours : 60 x 7 = 420 miles\u003Cbr>10 hours : 60 x 10 = 600 miles |\n|  | Time (hours) | 3 | 5 | 7 | 10 | |  |  |\n|  | Distance (mi) | 180 | 300 | 420 | 600 |  |  |  |\n|  |  |  |  |  |  |  |  |  |\n| 7) Anyone for a taxi?\u003Cbr>A taxi charges a base fare (flag drop) fee of $10 plus a distance fee of $1.50 for every mile.\u003Cbr>Tyger pays $28 for his tax","cbCaivLvV8pIhCL0","https://ap.wps.com/l/cbCaivLvV8pIhCL0","pdf",418867,"English","# Aquarium Fish\n# Pizza Toppings\n# Video Game Points\n# Scale Drawing – Skate Park\n# Smoothie Bar\n# Ratio Table – Road Trip\n# Anyone for a taxi?","[{\"question\":\"How do you find the missing quantity in a mixed ratio word problem?\",\"answer\":\"Set up equivalent ratios, scale from the given part to match the known amount, then multiply to get the unknown part (or divide first to find the unit amount).\"},{\"question\":\"What is the method for converting between two related quantities (like coins valued by ratio)?\",\"answer\":\"Use the given ratio to convert the starting quantity into the equivalent value units, then compare against the target to determine the remaining amount needed.\"},{\"question\":\"How do you compute real length from a scale drawing ratio?\",\"answer\":\"Use the scale to convert the drawn measurement into real units by multiplying by the real-units factor implied by the ratio.\"}]","MIXED RATIO PROBLEMS 7:3 | PDF",1792682170]