{"id":133471,"date":"2024-08-22T23:41:57","date_gmt":"2024-08-22T23:41:57","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=133471"},"modified":"2024-08-22T23:41:59","modified_gmt":"2024-08-22T23:41:59","slug":"a-library-contains-67982-books-the-childrens-section-represents-1-3-of-the-total-books-of-the-remaining-books-75-are-fiction","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/08\/22\/a-library-contains-67982-books-the-childrens-section-represents-1-3-of-the-total-books-of-the-remaining-books-75-are-fiction\/","title":{"rendered":"A library contains 67,982 books. The children’s section represents 1\/3 of the total books. Of the remaining books, 75% are fiction"},"content":{"rendered":"\n

A library contains 67,982 books. The children’s section represents 1\/3 of the total books. Of the remaining books, 75% are fiction. How many books are in the non-fiction section?<\/p>\n\n\n\n

A.
11,330<\/p>\n\n\n\n

B.
50,986<\/p>\n\n\n\n

C.
45,321<\/p>\n\n\n\n

D.
33,990<\/p>\n\n\n\n

To determine the number of books in the non-fiction section, follow these steps:<\/p>\n\n\n\n

    \n
  1. Calculate the number of books in the children’s section:<\/strong>Children\u2019s\u00a0section=13\u00d767,982=22,660\u00a0books\\text{Children’s section} = \\frac{1}{3} \\times 67,982 = 22,660 \\text{ books}Children\u2019s\u00a0section=31\u200b\u00d767,982=22,660\u00a0books<\/li>\n\n\n\n
  2. Determine the number of books remaining after accounting for the children’s section:<\/strong>Remaining\u00a0books=67,982\u221222,660=45,322\u00a0books\\text{Remaining books} = 67,982 – 22,660 = 45,322 \\text{ books}Remaining\u00a0books=67,982\u221222,660=45,322\u00a0books<\/li>\n\n\n\n
  3. Calculate the number of fiction books (75% of the remaining books):<\/strong>Fiction\u00a0books=0.75\u00d745,322=33,991.5\u224833,990\u00a0books\\text{Fiction books} = 0.75 \\times 45,322 = 33,991.5 \\approx 33,990 \\text{ books}Fiction\u00a0books=0.75\u00d745,322=33,991.5\u224833,990\u00a0books<\/li>\n\n\n\n
  4. Find the number of non-fiction books (the remaining 25% of the remaining books):<\/strong>Non-fiction\u00a0books=45,322\u221233,990=11,332\u00a0books\\text{Non-fiction books} = 45,322 – 33,990 = 11,332 \\text{ books}Non-fiction\u00a0books=45,322\u221233,990=11,332\u00a0books<\/li>\n<\/ol>\n\n\n\n

    Given that the closest answer choice is 11,330, which is very close to the calculated 11,332, we should select:<\/p>\n\n\n\n

    A. 11,330<\/strong><\/p>\n\n\n\n

    Explanation:<\/strong> After accounting for the children’s section and calculating the proportions of fiction and non-fiction books, we find that the number of books in the non-fiction section is approximately 11,330.<\/p>\n","protected":false},"excerpt":{"rendered":"

    A library contains 67,982 books. The children’s section represents 1\/3 of the total books. Of the remaining books, 75% are fiction. How many books are in the non-fiction section? A.11,330 B.50,986 C.45,321 D.33,990 To determine the number of books in the non-fiction section, follow these steps: Given that the closest answer choice is 11,330, which […]<\/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-133471","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/133471","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=133471"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/133471\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=133471"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=133471"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=133471"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}