{"id":133992,"date":"2024-08-26T10:42:34","date_gmt":"2024-08-26T10:42:34","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=133992"},"modified":"2024-08-26T10:42:36","modified_gmt":"2024-08-26T10:42:36","slug":"ratio-and-proportion-0-520-x-200-2","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/08\/26\/ratio-and-proportion-0-520-x-200-2\/","title":{"rendered":"Ratio and Proportion: 0.5:20:: X: 200"},"content":{"rendered":"\n<p>Ratio and Proportion: 0.5:20:: X: 200<\/p>\n\n\n\n<p>A.<br>X=5<\/p>\n\n\n\n<p>B.<br>X=50<\/p>\n\n\n\n<p>C.<br>X=4<\/p>\n\n\n\n<p>D.<br>X=25<\/p>\n\n\n\n<p>To solve the ratio and proportion problem 0.5:20::X:2000.5 : 20 :: X : 2000.5:20::X:200, follow these steps:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Understand the Proportion:<\/strong> The given proportion can be written as:0.520=X200\\frac{0.5}{20} = \\frac{X}{200}200.5\u200b=200X\u200bThis equation states that the ratio of 0.5 to 20 is equal to the ratio of XXX to 200. We need to find XXX that maintains this equality.<\/li>\n\n\n\n<li><strong>Cross-Multiply to Solve for XXX:<\/strong> To solve for XXX, cross-multiply the terms in the proportion:0.5\u00d7200=20\u00d7X0.5 \\times 200 = 20 \\times X0.5\u00d7200=20\u00d7XSimplify the left side:0.5\u00d7200=1000.5 \\times 200 = 1000.5\u00d7200=100So, the equation becomes:100=20\u00d7X100 = 20 \\times X100=20\u00d7X<\/li>\n\n\n\n<li><strong>Solve for XXX:<\/strong> To isolate XXX, divide both sides of the equation by 20:X=10020=5X = \\frac{100}{20} = 5X=20100\u200b=5<\/li>\n<\/ol>\n\n\n\n<p>Thus, the value of XXX that satisfies the proportion is 555.<\/p>\n\n\n\n<p><strong>Explanation:<\/strong> Ratios and proportions are fundamental concepts in mathematics used to compare quantities. A ratio is a way to express how one quantity relates to another, and a proportion states that two ratios are equal. When solving proportion problems, we often use cross-multiplication to find the unknown value.<\/p>\n\n\n\n<p>In this problem, the proportion 0.5:20::X:2000.5 : 20 :: X : 2000.5:20::X:200 is solved by setting up an equation where the two ratios are equal. By cross-multiplying, we form an equation that allows us to isolate the unknown variable XXX. Solving this equation involves basic algebraic operations, demonstrating the relationship between the quantities in the proportion.<\/p>\n\n\n\n<p>The correct answer is:<\/p>\n\n\n\n<p><strong>A. X = 5<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Ratio and Proportion: 0.5:20:: X: 200 A.X=5 B.X=50 C.X=4 D.X=25 To solve the ratio and proportion problem 0.5:20::X:2000.5 : 20 :: X : 2000.5:20::X:200, follow these steps: Thus, the value of XXX that satisfies the proportion is 555. Explanation: Ratios and proportions are fundamental concepts in mathematics used to compare quantities. A ratio is a [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-133992","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/133992","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=133992"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/133992\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=133992"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=133992"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=133992"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}