{"id":228978,"date":"2025-06-07T19:09:42","date_gmt":"2025-06-07T19:09:42","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=228978"},"modified":"2025-06-07T19:09:44","modified_gmt":"2025-06-07T19:09:44","slug":"the-ratio-of-melanies-allowance-to-jacobs-allowance-is-4-1-to-20-5","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/07\/the-ratio-of-melanies-allowance-to-jacobs-allowance-is-4-1-to-20-5\/","title":{"rendered":"The ratio of Melanie&#8217;s allowance to Jacob&#8217;s allowance is 4.1 to 20.5"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">The ratio of Melanie&#8217;s allowance to Jacob&#8217;s allowance is 4.1 to 20.5. If Jacob gets $5.00, how much allowance does Melanie get?<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">To solve the problem, we first interpret the ratio and then calculate Melanie&#8217;s allowance based on Jacob&#8217;s.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step-by-step Solution:<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">We&#8217;re given:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The ratio of <strong>Melanie&#8217;s allowance<\/strong> to <strong>Jacob&#8217;s allowance<\/strong> is <strong>4.1 to 20.5<\/strong>.<\/li>\n\n\n\n<li>Jacob receives <strong>$5.00<\/strong>.<\/li>\n\n\n\n<li>We need to find out how much Melanie receives.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Simplify the Ratio<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">We simplify the ratio 4.1:20.5 by dividing both parts by the same number \u2014 the <strong>greatest common divisor<\/strong>. In this case, we can divide both numbers by <strong>4.1<\/strong>:4.14.1:20.54.1=1:5\\frac{4.1}{4.1} : \\frac{20.5}{4.1} = 1 : 54.14.1\u200b:4.120.5\u200b=1:5<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">So the simplified ratio is <strong>1:5<\/strong>. This means for every $1 Melanie receives, Jacob receives $5.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Use the Simplified Ratio<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Now that we know the ratio is 1:5 and Jacob receives $5.00, we can use proportion to find Melanie\u2019s allowance.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Let MMM represent Melanie\u2019s allowance. Then:M5.00=15\\frac{M}{5.00} = \\frac{1}{5}5.00M\u200b=51\u200b<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Now solve for MMM:M=15\u00d75.00=1.00M = \\frac{1}{5} \\times 5.00 = 1.00M=51\u200b\u00d75.00=1.00<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\u2705 Final Answer:<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Melanie receives $1.00.<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Ratios are used to compare two quantities. In this case, the ratio 4.1:20.5 tells us the relationship between Melanie&#8217;s and Jacob&#8217;s allowances. However, ratios can often be simplified to make calculations easier. To simplify a ratio, we divide both parts by the same non-zero number. Here, dividing both 4.1 and 20.5 by 4.1 gives a simpler 1:5 ratio.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">This simplified ratio shows that for every 1 part Melanie receives, Jacob receives 5 parts. So, if Jacob gets $5.00, each &#8220;part&#8221; of the ratio must be worth $1.00 (since 5 parts \u00d7 $1.00 = $5.00). Therefore, Melanie receives 1 part, or $1.00.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">This approach helps when dealing with any proportional situation, including budgeting, recipes, or any scenario where two amounts are related by a fixed ratio. Simplifying the ratio first makes the math straightforward, helping avoid errors when setting up proportions. Always remember: once a ratio is simplified, it&#8217;s easy to apply it to real-world values using basic multiplication or cross-multiplication<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner4-668.jpeg\" alt=\"\" class=\"wp-image-228979\"\/><\/figure>\n\n\n\n\n\n<p class=\"wp-block-paragraph\">.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The ratio of Melanie&#8217;s allowance to Jacob&#8217;s allowance is 4.1 to 20.5. If Jacob gets $5.00, how much allowance does Melanie get? The Correct Answer and Explanation is: To solve the problem, we first interpret the ratio and then calculate Melanie&#8217;s allowance based on Jacob&#8217;s. Step-by-step Solution: We&#8217;re given: Step 1: Simplify the Ratio We [&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-228978","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/228978","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=228978"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/228978\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=228978"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=228978"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=228978"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}