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A cruise context requires ratios of full versus empty berths, passenger counts from percentages, and distance-time calculations using a steady speed, including travel over hours and time to cover 1 mile.",{"@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-75-answers/638126/",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-75-answers/638126.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",7,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"How do you find a map scale as a ratio in simplest form?","Question",{"text":63,"@type":64},"Use the given map distance and the real distance it represents, then express them as a ratio and simplify to remove fractions.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"How is the currency exchange ratio applied to convert a given amount?",{"text":68,"@type":64},"Simplify the dollars-to-pounds rate into an integer ratio, then scale the ratio up or down to match the starting dollar amount, yielding the pounds amount.",{"name":70,"@type":61,"acceptedAnswer":71},"In the cruise problem, how do you calculate the number of passengers on board?",{"text":72,"@type":64},"Convert the occupied percentage into a calculation of passengers: 72% of 4500 equals 72 ÷ 100 × 4500, giving the passenger total.","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},638126,1792855701,{"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":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 7:5  \n\n| 1. Take a hike\u003Cbr>A hiking map has a scale of 4 cm : 1 km\u003Cbr>The distance between two landmarks on the map is 6 ½ cm.\u003Cbr>a) What is the scale of the map in cm as a ratio in simplest form?\u003Cbr>b) How far is the distance between the two landmarks in meters? Tyger walks a total distance of 9,500 m.\u003Cbr>c) How many cm will he have travelled on the map? | |  |\n| --- | --- | --- |\n| 2. Currency Swap\u003Cbr>The exchange rate from dollars to pounds (GBP) is 1 ¼ : 1 a) Simplify this ratio so that there are no fractions.\u003Cbr>b) Tyger goes on holiday to the UK and changes $300 into pounds. How many pounds is this?\u003Cbr>c) He comes back from the holiday with £64. He changes it back into dollars. How many dollars does he get back?\u003Cbr>$ : £ | |  |\n| 3. Anyone for a cruise?\u003Cbr>A cruise ship has 72% of their berths occupied. There are enough berths for 4500 passengers.\u003Cbr>a) What is the ratio of full berths to empty berths?\u003Cbr>b) Simplify this ratio.\u003Cbr>c) How many passengers are on board?\u003Cbr>The ship goes at a steady speed of 16 miles per hour.\u003Cbr>d) How far could the ship travel in 8 hours?\u003Cbr>e) How long will it take ths ship to travel 1 mile?\u003Cbr>|  |  |\n\nMIXED RATIO PROBLEMS 7:5 ANSWERS  \n\n| 1. Take a hike\u003Cbr>A hiking map has a scale of 4 cm : 1 km\u003Cbr>The distance between two landmarks on the map is 6 ½ cm.\u003Cbr>a) What is the scale of the map in cm as a ratio in simplest form?\u003Cbr>b) How far is the distance between the two landmarks in meters?\u003Cbr>c) Tyger walks a total distance of 9,500 m. How many cm will he have travelled on the map? | |  | a) 4 cm : 1 km\u003Cbr>1 km = 1000 m = 100,000 cm 4 cm : 100,000 cm\u003Cbr>= 1 : 25,000 b) 6 ½ cm 4 cm = 1 km\u003Cbr>2 cm = ½ km = 500 m ½ cm = ⅛ km = 125 m So 6 ½ cm = 1 km 625 mc) 9500 m = 9 ½ km\u003Cbr>4 cm : 1 km so multiply by 9 ½ 4 x 9 ½ = (4 x 9) + (4 x ½)= 36 + 2 = 38\u003Cbr>So 38 cm on the map = 9500 m |\n| --- | --- | --- | --- |\n| 2. Currency Swap\u003Cbr>The exchange rate from dollars to pounds (GBP) is 1 ¼ : 1 a) Simplify this ratio so that there are no fractions.\u003Cbr>b) Tyger goes on holiday to the UK and changes $300 into pounds. How many pounds is this?\u003Cbr>c) He comes back from the holiday with £64 . He changes it back into dollars. How many dollars does he get back?\u003Cbr>$ : £ |  | | a) 1 ¼ : 1 → multiply by 4\u003Cbr>1 ¼ : 1 = 5 : 4 The simplified ratio is 5 : 4\u003Cbr>b) $1 ¼ : £1 = $1.25 : £1 We need to find $300 : ?$300 ÷ 5 = 60\u003Cbr>£4 x 60 = 240\u003Cbr>So $300 : £240 He gets £240 c) $1.25 : £1 = $5 : £4? : £64\u003Cbr>64 ÷ 4 = 16 £5 x 16 = 80\u003Cbr>He gets $80 back |\n| 3. Anyone for a cruise?\u003Cbr>A cruise ship has 72% of their berths occupied. There are enough berths for 4500 passengers.\u003Cbr>f) What is the ratio of full berths to empty berths?\u003Cbr>g) Simplify this ratio.\u003Cbr>h) How many passengers are on board?\u003Cbr>The ship goes at a steady speed of 16 miles per hour.\u003Cbr>i) How far could the ship travel in 8 hours?\u003Cbr>j) How long will it take ths ship to travel 1 mile?\u003Cbr>|  |  | a) Full berths 72 out of every 100 so 72 full and 28 empty\u003Cbr>Ratio of full to empty is 72:28\u003Cbr>b) 72:28 →divide by 4 Simplified ratio is 18 : 7\u003Cbr>c) 72% of 4500.\u003Cbr>= 72 ÷ 100 x 4500\u003Cbr>= 72 x 45\u003Cbr>= 3240 passengers on board\u003Cbr>d) 16 miles per hour\u003Cbr>8 x 16 = 128\u003Cbr>So 128 miles in 8 hours e) 16 miles in 60 minutes\u003Cbr>→ divide by 16\u003Cbr>1 mile in 60/16 minutes\u003Cbr>60 ÷ 16 = 30 ÷ 8 = 15 ÷ 4 = 3 ¾ It takes 3 ¾ minutes or 3 minutes\u003Cbr>45 seconds. |","cbCaipdPU5QVMVMO","https://ap.wps.com/l/cbCaipdPU5QVMVMO","pdf",339298,"English","# Take a hike\n## Scale and distance conversions\n# Currency Swap\n## Simplify exchange ratios and compute amounts\n# Anyone for a cruise?\n## Berths ratio, passenger count, and travel calculations","[{\"question\":\"How do you find a map scale as a ratio in simplest form?\",\"answer\":\"Use the given map distance and the real distance it represents, then express them as a ratio and simplify to remove fractions.\"},{\"question\":\"How is the currency exchange ratio applied to convert a given amount?\",\"answer\":\"Simplify the dollars-to-pounds rate into an integer ratio, then scale the ratio up or down to match the starting dollar amount, yielding the pounds amount.\"},{\"question\":\"In the cruise problem, how do you calculate the number of passengers on board?\",\"answer\":\"Convert the occupied percentage into a calculation of passengers: 72% of 4500 equals 72 ÷ 100 × 4500, giving the passenger total.\"}]","MIXED RATIO PROBLEMS - 7:5 - Answers | PDF",1792682175]