{"id":10863,"date":"2022-06-03T17:13:34","date_gmt":"2022-06-03T11:43:34","guid":{"rendered":"https:\/\/mathemerize.com\/?p=10863"},"modified":"2022-06-04T22:28:02","modified_gmt":"2022-06-04T16:58:02","slug":"the-cost-of-2-kg-apples-and-1-kg-grapes-on-a-day-was-found-to-be-rs-160-after-a-month-the-cost-of-4-kg-of-apples-and-2-kg-of-grapes-is-rs-300","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/the-cost-of-2-kg-apples-and-1-kg-grapes-on-a-day-was-found-to-be-rs-160-after-a-month-the-cost-of-4-kg-of-apples-and-2-kg-of-grapes-is-rs-300\/","title":{"rendered":"The cost of 2 kg apples and 1 kg grapes on a day was found to be Rs 160. After a month, the cost of 4 kg of apples and 2 kg of grapes is Rs 300."},"content":{"rendered":"\n<p><strong>Question<\/strong> : The cost of 2 kg apples and 1 kg grapes on a day was found to be Rs 160. After a month, the cost of 4 kg of apples and 2 kg of grapes is Rs 300. Represent the situation algebraically and graphically.<\/p>\n\n\n\n<p><strong>Solution<\/strong> : Let us denote the cost of 1 kg of apples by Rs x and cost of 1 kg of grapes by Rs y.<\/p>\n\n\n\n<p>Then the algebraic representation is given by the following equations :<\/p>\n\n\n\n<p>2x + y = 160        &#8230;..(1)<\/p>\n\n\n\n<p>4x + 2y = 300       &#8230;&#8230;(2)<\/p>\n\n\n\n<p>To find the equivalent geometric representation, we will find two points for both equation. That is, we find two solutions of both the equation.<\/p>\n\n\n\n<p>For  2x + y = 160<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>x<\/td><td>50<\/td><td>45<\/td><\/tr><tr><td>y<\/td><td>60<\/td><td>70<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>For  4x + 2y = 300<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>x<\/td><td>50<\/td><td>40<\/td><\/tr><tr><td>y<\/td><td>50<\/td><td>70<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Geometric representation is shown in the figure which is a pair of parallel lines.<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-medium is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/i0.wp.com\/mathemerize.com\/wp-content\/uploads\/2022\/06\/linearequation3-1-3.jpeg?fit=300%2C295&amp;ssl=1\" alt=\"\" class=\"wp-image-10864\" width=\"346\" height=\"341\" srcset=\"https:\/\/i0.wp.com\/mathemerize.com\/wp-content\/uploads\/2022\/06\/linearequation3-1-3.jpeg?w=1700&amp;ssl=1 1700w, https:\/\/i0.wp.com\/mathemerize.com\/wp-content\/uploads\/2022\/06\/linearequation3-1-3.jpeg?resize=300%2C295&amp;ssl=1 300w, https:\/\/i0.wp.com\/mathemerize.com\/wp-content\/uploads\/2022\/06\/linearequation3-1-3.jpeg?resize=1024%2C1007&amp;ssl=1 1024w, https:\/\/i0.wp.com\/mathemerize.com\/wp-content\/uploads\/2022\/06\/linearequation3-1-3.jpeg?resize=768%2C755&amp;ssl=1 768w, https:\/\/i0.wp.com\/mathemerize.com\/wp-content\/uploads\/2022\/06\/linearequation3-1-3.jpeg?resize=1536%2C1511&amp;ssl=1 1536w\" sizes=\"(max-width: 346px) 100vw, 346px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Question : The cost of 2 kg apples and 1 kg grapes on a day was found to be Rs 160. After a month, the cost of 4 kg of apples and 2 kg of grapes is Rs 300. Represent the situation algebraically and graphically. Solution : Let us denote the cost of 1 kg &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathemerize.com\/the-cost-of-2-kg-apples-and-1-kg-grapes-on-a-day-was-found-to-be-rs-160-after-a-month-the-cost-of-4-kg-of-apples-and-2-kg-of-grapes-is-rs-300\/\"> <span class=\"screen-reader-text\">The cost of 2 kg apples and 1 kg grapes on a day was found to be Rs 160. After a month, the cost of 4 kg of apples and 2 kg of grapes is Rs 300.<\/span> Read More &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"default","ast-global-header-display":"","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":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":""},"categories":[911,43],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v20.12 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>The cost of 2 kg apples and 1 kg grapes on a day was found to be Rs 160. 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