{"id":191383,"date":"2025-02-15T06:03:10","date_gmt":"2025-02-15T06:03:10","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=191383"},"modified":"2025-02-15T06:03:13","modified_gmt":"2025-02-15T06:03:13","slug":"ms-shikongo-our-mathematics-teacher-bought-40-calculators-at-n-8-20-each-and-a-number-of-other-calculators-costing-n-2-95-each","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/02\/15\/ms-shikongo-our-mathematics-teacher-bought-40-calculators-at-n-8-20-each-and-a-number-of-other-calculators-costing-n-2-95-each\/","title":{"rendered":"Ms Shikongo, our mathematics teacher bought 40 calculators at N$ 8.20 each and a number of other calculators costing N$ 2.95 each"},"content":{"rendered":"\n<p>Ms Shikongo, our mathematics teacher bought 40 calculators at N$ 8.20 each and a number of other calculators costing N$ 2.95 each. On all these items, she spent N$ 387.00. How many of the cheaper calculators did she buy?<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\"><strong>The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n<p>Let the number of the cheaper calculators be ( x ).<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Write an equation for the total cost<\/h3>\n\n\n\n<p>We know that:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The price of one of the first type of calculators is N$ 8.20, and she bought 40 of them. Thus, the total cost for these calculators is ( 40 \\times 8.20 = 328 ) N$.<\/li>\n\n\n\n<li>The price of one of the cheaper calculators is N$ 2.95, and she bought ( x ) of them. Thus, the total cost for these calculators is ( 2.95 \\times x ).<\/li>\n<\/ul>\n\n\n\n<p>The total amount spent on all calculators is N$ 387.00. So, the total cost of all calculators is the sum of the costs of the two types, which is given by:<\/p>\n\n\n\n<p>[<br>328 + 2.95x = 387<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Solve for ( x )<\/h3>\n\n\n\n<p>To solve for ( x ), subtract 328 from both sides of the equation:<\/p>\n\n\n\n<p>[<br>2.95x = 387 &#8211; 328<br>]<br>[<br>2.95x = 59<br>]<\/p>\n\n\n\n<p>Now, divide both sides by 2.95 to find ( x ):<\/p>\n\n\n\n<p>[<br>x = \\frac{59}{2.95} = 20<br>]<\/p>\n\n\n\n<p>Thus, Ms. Shikongo bought <strong>20<\/strong> of the cheaper calculators.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>To verify, we can check the total cost with the calculated number of calculators:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The cost of the 40 calculators at N$ 8.20 each is ( 40 \\times 8.20 = 328 ) N$.<\/li>\n\n\n\n<li>The cost of the 20 cheaper calculators at N$ 2.95 each is ( 20 \\times 2.95 = 59 ) N$.<\/li>\n<\/ul>\n\n\n\n<p>Adding these together:<\/p>\n\n\n\n<p>[<br>328 + 59 = 387<br>]<\/p>\n\n\n\n<p>This matches the total cost of N$ 387.00, confirming the solution is correct. Therefore, Ms. Shikongo bought <strong>20<\/strong> of the cheaper calculators.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Ms Shikongo, our mathematics teacher bought 40 calculators at N$ 8.20 each and a number of other calculators costing N$ 2.95 each. On all these items, she spent N$ 387.00. How many of the cheaper calculators did she buy? The Correct Answer and Explanation is : Let the number of the cheaper calculators be ( [&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-191383","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/191383","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=191383"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/191383\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=191383"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=191383"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=191383"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}