{"id":234303,"date":"2025-06-14T04:06:21","date_gmt":"2025-06-14T04:06:21","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=234303"},"modified":"2025-06-14T04:06:23","modified_gmt":"2025-06-14T04:06:23","slug":"five-is-the-quotient-of-120-divided-by-some-number","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/14\/five-is-the-quotient-of-120-divided-by-some-number\/","title":{"rendered":"Five is the quotient of 120 divided by some number."},"content":{"rendered":"\n

Five is the quotient of 120 divided by some number. What is the number? 20 24 115 125<\/p>\n\n\n\n

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

Correct Answer: 24<\/strong><\/p>\n\n\n\n

\n\n\n\n

\ud83d\udcd8 Explanation:<\/h3>\n\n\n\n

We are given a word problem:<\/p>\n\n\n\n

\n

“Five is the quotient of 120 divided by some number.”<\/p>\n<\/blockquote>\n\n\n\n

This can be translated into a mathematical equation. Let’s represent the unknown number with a variable, such as xxx. According to the problem, when 120 is divided by xxx<\/strong>, the quotient (result) is 5<\/strong>.<\/p>\n\n\n\n

So we write:120x=5\\frac{120}{x} = 5×120\u200b=5<\/p>\n\n\n\n

Now, we solve this equation step by step to find the value of xxx.<\/p>\n\n\n\n

\n\n\n\n

\ud83e\uddee Step 1: Multiply both sides by xxx<\/h3>\n\n\n\n

To eliminate the denominator, multiply both sides of the equation by xxx:120=5×120 = 5×120=5x<\/p>\n\n\n\n

\n\n\n\n

\ud83e\uddee Step 2: Solve for xxx<\/h3>\n\n\n\n

Now, divide both sides of the equation by 5:x=1205x = \\frac{120}{5}x=5120\u200bx=24x = 24x=24<\/p>\n\n\n\n

\n\n\n\n

\u2705 Final Answer: 24<\/strong><\/h3>\n\n\n\n
\n\n\n\n

\ud83d\udd0d Why the Other Options Are Incorrect:<\/h3>\n\n\n\n
    \n
  • 20<\/strong>: 12020=6\u22605\\frac{120}{20} = 6 \\ne 520120\u200b=6\ue020=5<\/li>\n\n\n\n
  • 115<\/strong>: 120115\u22481.04\u22605\\frac{120}{115} \\approx 1.04 \\ne 5115120\u200b\u22481.04\ue020=5<\/li>\n\n\n\n
  • 125<\/strong>: 120125=0.96\u22605\\frac{120}{125} = 0.96 \\ne 5125120\u200b=0.96\ue020=5<\/li>\n<\/ul>\n\n\n\n
    \n\n\n\n

    \ud83d\udcda Understanding the Concept:<\/h3>\n\n\n\n

    This problem is about understanding the meaning of quotient<\/strong>, which is the result of division<\/strong>. When you are told, “Five is the quotient of 120 divided by some number,” it means you must find a number that, when used to divide 120, gives exactly 5 as the answer.<\/p>\n\n\n\n

    In algebra, such problems are common and teach you how to form and solve simple equations. The key is to convert the word problem into an equation, then solve for the unknown.<\/p>\n\n\n\n

    \n\n\n\n

    \ud83d\udfe6 Summary:<\/h3>\n\n\n\n
      \n
    • Equation: 120x=5\\frac{120}{x} = 5×120\u200b=5<\/li>\n\n\n\n
    • Solved: x=24x = 24x=24<\/li>\n\n\n\n
    • \u2705 Correct Choice: 24<\/strong><\/li>\n<\/ul>\n\n\n\n

      This reinforces your understanding of division and how to set up and solve equations from word problems.<\/p>\n\n\n\n

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

      Five is the quotient of 120 divided by some number. What is the number? 20 24 115 125 The Correct Answer and Explanation is: Correct Answer: 24 \ud83d\udcd8 Explanation: We are given a word problem: “Five is the quotient of 120 divided by some number.” This can be translated into a mathematical equation. Let’s represent […]<\/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-234303","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/234303","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=234303"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/234303\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=234303"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=234303"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=234303"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}