{"id":43876,"date":"2025-06-30T10:46:54","date_gmt":"2025-06-30T10:46:54","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=43876"},"modified":"2025-06-30T10:46:55","modified_gmt":"2025-06-30T10:46:55","slug":"15000-is-divided-between-meera-and-sheena-in-such-a-way-that-sheena-gets-one-third-of-what-meera-gets","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/15000-is-divided-between-meera-and-sheena-in-such-a-way-that-sheena-gets-one-third-of-what-meera-gets\/","title":{"rendered":"15,000 is divided between Meera and Sheena in such a way that Sheena gets one-third of what Meera gets"},"content":{"rendered":"\n<p>15,000 is divided between Meera and Sheena in such a way that Sheena gets one-third of what Meera gets. Find: (i) The ratio between the shares of Meera and Sheena. (ii) The shares of Meera and Sheena.<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">The correct answer and explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>Let the share of Meera be xx. According to the problem, Sheena gets one-third of what Meera gets, so Sheena\u2019s share will be x3\\frac{x}{3}.<\/p>\n\n\n\n<p>The total amount to be divided is 15,000. Therefore, the equation becomes: x+x3=15000x + \\frac{x}{3} = 15000<\/p>\n\n\n\n<p>To solve for xx, first, multiply both sides of the equation by 3 to eliminate the fraction: 3x+x=450003x + x = 45000<\/p>\n\n\n\n<p>Now, combine the terms on the left: 4x=450004x = 45000<\/p>\n\n\n\n<p>Next, divide both sides by 4: x=450004=11250x = \\frac{45000}{4} = 11250<\/p>\n\n\n\n<p>So, Meera\u2019s share is 11,250. Now, to find Sheena\u2019s share, use the relationship x3\\frac{x}{3}: Sheena\u2019s&nbsp;share=112503=3750\\text{Sheena\u2019s share} = \\frac{11250}{3} = 3750<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">(i) The ratio between the shares of Meera and Sheena:<\/h3>\n\n\n\n<p>The ratio of Meera&#8217;s share to Sheena\u2019s share is: 112503750=3:1\\frac{11250}{3750} = 3:1<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">(ii) The shares of Meera and Sheena:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Meera&#8217;s share = 11,250<\/li>\n\n\n\n<li>Sheena&#8217;s share = 3,750<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>The problem can be solved using algebra by setting up an equation based on the total amount of 15,000. By defining Meera&#8217;s share as xx, it is possible to express Sheena&#8217;s share in terms of xx. This allows us to solve for xx, and then calculate both Meera\u2019s and Sheena\u2019s shares. Finally, the ratio is derived by dividing the two shares.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>15,000 is divided between Meera and Sheena in such a way that Sheena gets one-third of what Meera gets. Find: (i) The ratio between the shares of Meera and Sheena. (ii) The shares of Meera and Sheena. The correct answer and explanation is: Let the share of Meera be xx. According to the problem, Sheena [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-43876","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/43876","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=43876"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/43876\/revisions"}],"predecessor-version":[{"id":43877,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/43876\/revisions\/43877"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=43876"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=43876"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=43876"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}