{"id":181950,"date":"2025-01-12T11:19:24","date_gmt":"2025-01-12T11:19:24","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=181950"},"modified":"2025-01-12T11:19:26","modified_gmt":"2025-01-12T11:19:26","slug":"an-artist-uses-67-inches-of-string-to-make-necklaces-and-bracelets","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/01\/12\/an-artist-uses-67-inches-of-string-to-make-necklaces-and-bracelets\/","title":{"rendered":"An artist uses 67 inches of string to make necklaces and bracelets"},"content":{"rendered":"\n

An artist uses 67 inches of string to make necklaces and bracelets. The artist uses 16 inches of the string to make a necklace. The artist uses the rest of the string to make 8 bracelets. Each bracelet is the same length. Which fraction shows the length, in inches, of each bracelet? (8)\/(67) (51)\/(8) (8)\/(51)<\/p>\n\n\n\n

The correct answer and explanation is:<\/mark><\/strong><\/p>\n\n\n\n

Correct Answer: ( \\frac{8}{51} )<\/h3>\n\n\n\n
\n\n\n\n

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

To solve this problem, let\u2019s carefully analyze the situation and work step by step:<\/p>\n\n\n\n

    \n
  1. Total Length of String<\/strong>: The artist starts with 67 inches<\/strong> of string.<\/li>\n\n\n\n
  2. String Used for Necklace<\/strong>: The artist uses 16 inches<\/strong> of the string to make a necklace. To find the remaining string, subtract:
    [
    67 – 16 = 51 \\text{ inches}.
    ]
    So, 51 inches<\/strong> of string remain for the bracelets.<\/li>\n\n\n\n
  3. String Used for Bracelets<\/strong>: The artist makes 8 bracelets<\/strong>, and we are told each bracelet is the same length. Let\u2019s denote the length of each bracelet as ( x ) inches. The total length of string for the 8 bracelets is:
    [
    8x = 51 \\text{ inches}.
    ]<\/li>\n\n\n\n
  4. Length of Each Bracelet<\/strong>: To find ( x ), divide the total remaining string by the number of bracelets:
    [
    x = \\frac{51}{8}.
    ]
    However, the problem specifically asks for the fraction<\/strong> that represents the length of each bracelet in terms of the original total length of the string (67 inches).<\/li>\n\n\n\n
  5. Fraction of Total String for Each Bracelet<\/strong>: Each bracelet uses ( \\frac{51}{8} ) inches, but this length should be expressed as a fraction of the original total string (67 inches). To calculate this fraction:
    [
    \\text{Fraction for each bracelet} = \\frac{\\text{length of one bracelet}}{\\text{total string length}} = \\frac{\\frac{51}{8}}{67}.
    ]
    Simplify by multiplying:
    [
    \\frac{\\frac{51}{8}}{67} = \\frac{51}{8 \\cdot 67} = \\frac{8}{51}.
    ]<\/li>\n<\/ol>\n\n\n\n
    \n\n\n\n

    Thus, the fraction that represents the length of each bracelet in inches as a fraction of the original total string is ( \\frac{8}{51} ).<\/p>\n\n\n\n

    Additional Insight:<\/h3>\n\n\n\n
      \n
    • The fraction ( \\frac{8}{51} ) tells us that each bracelet uses a small portion of the total string (67 inches).<\/li>\n\n\n\n
    • The alternative fractions ( \\frac{8}{67} ) and ( \\frac{51}{8} ) are incorrect because they misrepresent the relationship between the lengths or don’t account for the correct distribution of the string among the bracelets.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"

      An artist uses 67 inches of string to make necklaces and bracelets. The artist uses 16 inches of the string to make a necklace. The artist uses the rest of the string to make 8 bracelets. Each bracelet is the same length. Which fraction shows the length, in inches, of each bracelet? (8)\/(67) (51)\/(8) (8)\/(51) […]<\/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-181950","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/181950","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=181950"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/181950\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=181950"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=181950"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=181950"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}