{"id":279874,"date":"2025-08-04T12:06:15","date_gmt":"2025-08-04T12:06:15","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=279874"},"modified":"2025-08-04T12:06:17","modified_gmt":"2025-08-04T12:06:17","slug":"when-an-integer-k-is-divided-by-8-the-quotient-is-3","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/08\/04\/when-an-integer-k-is-divided-by-8-the-quotient-is-3\/","title":{"rendered":"When an integer k is divided by -8, the quotient is 3"},"content":{"rendered":"\n<p>When an integer k is divided by -8, the quotient is 3. When 16 is divided by an integer p, the quotient is -8. What is the quotient when k is divided by p?<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\">The correct answer and explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>To solve this, we will break the problem down into two parts and then combine the results.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Part 1: Finding the value of kk<\/h3>\n\n\n\n<p>The problem tells us that when kk is divided by -8, the quotient is 3. This means: k\u22128=3\\frac{k}{-8} = 3<\/p>\n\n\n\n<p>Multiplying both sides of the equation by -8: k=3\u00d7(\u22128)=\u221224k = 3 \\times (-8) = -24<\/p>\n\n\n\n<p>So, k=\u221224k = -24.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Part 2: Finding the value of pp<\/h3>\n\n\n\n<p>Next, the problem states that when 16 is divided by pp, the quotient is -8. This means: 16p=\u22128\\frac{16}{p} = -8<\/p>\n\n\n\n<p>Multiplying both sides of the equation by pp: 16=\u22128p16 = -8p<\/p>\n\n\n\n<p>Now, solving for pp: p=16\u22128=\u22122p = \\frac{16}{-8} = -2<\/p>\n\n\n\n<p>So, p=\u22122p = -2.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Part 3: Finding the quotient when kk is divided by pp<\/h3>\n\n\n\n<p>Now that we know k=\u221224k = -24 and p=\u22122p = -2, we can find the quotient when kk is divided by pp: kp=\u221224\u22122=12\\frac{k}{p} = \\frac{-24}{-2} = 12<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Final Answer:<\/h3>\n\n\n\n<p>The quotient when kk is divided by pp is <strong>12<\/strong>.<\/p>\n\n\n\n<p>In conclusion, by applying the division relationships and solving for kk and pp, we determined that the quotient when kk is divided by pp is 12.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>When an integer k is divided by -8, the quotient is 3. When 16 is divided by an integer p, the quotient is -8. What is the quotient when k is divided by p? The correct answer and explanation is: To solve this, we will break the problem down into two parts and then combine [&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-279874","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/279874","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=279874"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/279874\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=279874"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=279874"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=279874"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}