{"id":228563,"date":"2025-06-07T11:50:05","date_gmt":"2025-06-07T11:50:05","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=228563"},"modified":"2025-06-07T11:50:07","modified_gmt":"2025-06-07T11:50:07","slug":"charles-has-24-marbles","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/07\/charles-has-24-marbles\/","title":{"rendered":"Charles has 24 marbles."},"content":{"rendered":"\n

Charles has 24 marbles. He has 6 more yellow marbles than blue marbles. Which equation represents this situation? n + (n + 6) = 24, where n is the number of blue marbles n + 6n = 24, where n is the number of yellow marbles n + (n + 6) = 24, where n is the number of yellow marbles n + 6n = 24, where n is the number of blue marbles
Charles has 24 marbles. He has 6 more yellow marbles than blue marbles. Which equation represents this situation? n + (n + 6) = 24, where n is the number of blue marbles n + 6n = 24, where n is the number of yellow marbles n + (n + 6) = 24, where n is the number of yellow marbles n + 6n = 24, where n is the number of blue marbles<\/p>\n\n\n\n

The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n

\u2705 Correct Answer:<\/h3>\n\n\n\n

n + (n + 6) = 24, where n is the number of blue marbles<\/strong><\/p>\n\n\n\n

\n\n\n\n

\ud83e\udde0 Explanation<\/h3>\n\n\n\n

Let\u2019s carefully analyze the problem.<\/p>\n\n\n\n

Charles has 24 marbles in total<\/strong>, which includes both blue marbles<\/strong> and yellow marbles<\/strong>. We are told that the number of yellow marbles is 6 more than the number of blue marbles<\/strong>. This is key to forming the correct equation.<\/p>\n\n\n\n

Let\u2019s represent the number of blue marbles<\/strong> as n<\/strong>.<\/p>\n\n\n\n

Since there are 6 more yellow marbles than blue<\/strong>, the number of yellow marbles<\/strong> would be n + 6<\/strong>.<\/p>\n\n\n\n

Now, if you add both the blue and yellow marbles together, it should equal 24 (because that’s the total number of marbles Charles has): Blue marbles+Yellow marbles=24\\text{Blue marbles} + \\text{Yellow marbles} = 24Blue marbles+Yellow marbles=24<\/p>\n\n\n\n

Substitute in the expressions for each: n+(n+6)=24n + (n + 6) = 24n+(n+6)=24<\/p>\n\n\n\n

So, this is the correct equation. Let\u2019s briefly explain why the other options are incorrect:<\/p>\n\n\n\n

\n\n\n\n

Incorrect Options:<\/strong><\/p>\n\n\n\n

    \n
  1. n + 6n = 24, where n is the number of yellow marbles<\/strong>
    \u27a4 This implies there are 6 times as many<\/strong> of one color, not 6 more<\/strong>. That\u2019s a multiplication relationship, not addition.<\/li>\n\n\n\n
  2. n + (n + 6) = 24, where n is the number of yellow marbles<\/strong>
    \u27a4 This incorrectly assumes that yellow is the base amount, and then adds 6 to find blue. But the problem says yellow is 6 more than blue, not the other way around.<\/li>\n\n\n\n
  3. n + 6n = 24, where n is the number of blue marbles<\/strong>
    \u27a4 Again, this suggests there are 6 times<\/strong> more yellow than blue marbles, not just 6 more<\/strong>.<\/li>\n<\/ol>\n\n\n\n
    \n\n\n\n

    \ud83d\udccc Summary:<\/h3>\n\n\n\n

    The key phrase \u201c6 more yellow marbles than blue marbles<\/strong>\u201d tells us to use addition<\/strong>, not multiplication. Representing blue marbles as n<\/strong>, the yellow marbles become n + 6<\/strong>. Therefore, the equation:<\/p>\n\n\n\n

    n + (n + 6) = 24<\/strong> is the only one that matches the conditions described in the problem.<\/p>\n\n\n\n

    \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

    Charles has 24 marbles. He has 6 more yellow marbles than blue marbles. Which equation represents this situation? n + (n + 6) = 24, where n is the number of blue marbles n + 6n = 24, where n is the number of yellow marbles n + (n + 6) = 24, where n […]<\/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-228563","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/228563","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=228563"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/228563\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=228563"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=228563"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=228563"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}