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Includes: forming and simplifying ratios between tennis players and non-players, calculating the ratio and count of rare cards from card packs where 20% are rare, and converting cycling speeds into miles per hour, then finding the simplest ratio between two cyclists. Answers show key fractions, simplification steps, and final numerical results.",{"@graph":69,"@context":122},[70,84,105],{"@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/mixed-ratio-problems-74-answers/638124/",{"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/mixed-ratio-problems-74-answers/638124.png","ImageObject",300,407,{"name":92,"@type":93},"anakgang17","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-04","2026-10-22",true,{"@type":102,"interactionType":103,"userInteractionCount":29},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How do you write a ratio for tennis players to non-players and simplify it?","Question",{"text":112,"@type":113},"Use the counts of tennis players and non-players (15 play, 20 do not), form the ratio 15:20, then divide by 5 to simplify to 3:4.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"If 20% of cards are rare in each pack, how do you find the number of rare cards bought?",{"text":117,"@type":113},"First find the total cards bought (6 packs × 15 = 90). Then compute 20% of 90, which is 18 rare cards.",{"name":119,"@type":110,"acceptedAnswer":120},"How do you convert the cyclists’ speeds to miles per hour and find their speed ratio?",{"text":121,"@type":113},"Convert each cyclist’s distance-time rate to an hourly equivalent (e.g., 2 1/4 miles per 15 minutes becomes 9 mph). Then divide the two mph values and simplify to get the ratio in simplest form (9 mph : 15 mph = 3:5).","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},638124,1792855701,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":29,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":14,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":143,"read_time":24},962090883568,"https://ap-avatar.wpscdn.com/davatar_a8503ba1806abce46bf441b54a3ca4cd","MIXED RATIO PROBLEMS 7:4  \n\n| 1. Anyone for tennis?\u003Cbr>Out of a group of 35 students, 15 play tennis.\u003Cbr>a) Write down the ratio of students who play tennis to students who do not.\u003Cbr>b) Simplify the ratio.\u003Cbr>c) Write down the proportion of students play tennis as a fraction.\u003Cbr>d) If the ratio of tennis players to non-tennis players stayed the same, how many students would play tennis if there were 140 students in the group?\u003Cbr>|  |\n| --- | --- |\n| 2. The card collector\u003Cbr>Captain collects Salamander game cards. He buys 6 packs with 15 cards in each pack.\u003Cbr>20% of the cards in each pack are ‘rare’ metallic game cards.\u003Cbr>a) Write down the ratio of rare cards to non-rare cards in each pack.\u003Cbr>b) Simplify the ratio.\u003Cbr>c) How many rare cards that he has just bought? \u003Cbr>|  |\n| 3. On your bike\u003Cbr>Frazer cycles at a steady speed of 2 ¼ miles every 15 minutes.\u003Cbr>a) How fast is his speed in miles per hour?\u003Cbr>b) How long would it take him to cycle 45 miles? Flame cycles at a steady speed of 1 ½ miles every 6 minutes.\u003Cbr>c) What is Flame’s speed in miles per hour?\u003Cbr>d) What is the ratio of Frazer’s speed to Flame’s speed in simplest form?\u003Cbr>|  |\n\nMIXED RATIO PROBLEMS 7:4 ANSWERS  \n\n| 1. Anyone for tennis?\u003Cbr>Out of a group of 35 students, 15 play tennis.\u003Cbr>a) Write down the ratio of students who play tennis to students who do not.\u003Cbr>b) Simplify the ratio.\u003Cbr>c) Write down the proportion of students play tennis as a fraction.\u003Cbr>d) If the ratio of tennis players to non-tennis players stayed the same, how many students would play tennis if there were 140 students in the group?\u003Cbr>| 15 out of 35 students play tennis. 35 – 15 = 20 do not a) Ratio is 15:20\u003Cbr>b) → divide by 5\u003Cbr>15:20 = 3:4 Simplified ratio is 3:4\u003Cbr>c) 3 play : 4 not play tennis so 3/7 of students play tennis.\u003Cbr>d) 140 ÷ 35 = 4\u003Cbr>15 x 4 = 60 students would play tennis |\n| --- | --- |\n| 2. The card collector\u003Cbr>Captain collects Salamander game cards. He buys 6 packs with 15 cards in each pack.\u003Cbr>20% of the cards in each pack are ‘rare’ metallic game cards.\u003Cbr>a) Write down the ratio of rare cards to non-rare cards in each pack.\u003Cbr>b) Simplify the ratio.\u003Cbr>c) How many rare cards that he has just bought?\u003Cbr>| a) 20% rare = 20/100 rare Ratio is 20 rare : 80 not rare\u003Cbr>b) 20:80\u003Cbr>→ divide by 20\u003Cbr>1:4 cards are rare\u003Cbr>c) He bought 6 x 15 = 90 cards\u003Cbr>20% are rare\u003Cbr>We need to find 20% of 90 10% of 90 = 9\u003Cbr>So 20% of 90 = 18\u003Cbr>18 cards are rare |\n| 3. On your bike\u003Cbr>Frazer cycles at a steady speed of 2 ¼ miles every 15 minutes.\u003Cbr>a) How fast is his speed in miles per hour (mph)?\u003Cbr>b) How long would it take him to cycle 45 miles? Flame cycles at a steady speed of 1 ½ miles every 6 minutes.\u003Cbr>c) What is Flame’s speed in miles per hour?\u003Cbr>d) What is the ratio of Frazer’s speed to Flame’s speed in simplest form?\u003Cbr>| a) 2 ¼ miles : 15 minutes → multiply by 4\u003Cbr>9 miles : 60 minutes (1 hour)\u003Cbr>His speed is 9 mph b) 2 ¼ miles : 15 minutes → multiply by 20\u003Cbr>45 miles : 300 minutes 300 minutes = 5 hours It would take him 5 hours c) 1 ½ miles : 6 minutes\u003Cbr>→ multiply by 10\u003Cbr>15 miles : 1 hour. Her speed is 15 mph.\u003Cbr>d) 9 mph : 15 mph = 3 : 5 |","cbCaij1NbbgUrKGT","https://ap.wps.com/l/cbCaij1NbbgUrKGT","pdf",328087,"English","# Anyone for tennis?\n## The card collector\n# On your bike","[{\"question\":\"How do you write a ratio for tennis players to non-players and simplify it?\",\"answer\":\"Use the counts of tennis players and non-players (15 play, 20 do not), form the ratio 15:20, then divide by 5 to simplify to 3:4.\"},{\"question\":\"If 20% of cards are rare in each pack, how do you find the number of rare cards bought?\",\"answer\":\"First find the total cards bought (6 packs × 15 = 90). Then compute 20% of 90, which is 18 rare cards.\"},{\"question\":\"How do you convert the cyclists’ speeds to miles per hour and find their speed ratio?\",\"answer\":\"Convert each cyclist’s distance-time rate to an hourly equivalent (e.g., 2 1/4 miles per 15 minutes becomes 9 mph). Then divide the two mph values and simplify to get the ratio in simplest form (9 mph : 15 mph = 3:5).\"}]","MIXED RATIO PROBLEMS 7:4 - Answers | PDF",1792682175]