{"id":21284,"date":"2019-05-20T19:08:30","date_gmt":"2019-05-20T13:38:30","guid":{"rendered":"https:\/\/e-gmat.com\/blogs\/?p=21284"},"modified":"2022-11-17T12:30:45","modified_gmt":"2022-11-17T07:00:45","slug":"a-paint-mixture-was-formed-by-mixing-exactly-3-colors-of-paint-by-volume-the-mixture-was-x-blue-paint-y-green-paint-and-z-red-paint-if-exactly-1-gallon-of-blue-paint-and-3-gallons-of-red-paint-we","status":"publish","type":"post","link":"https:\/\/e-gmat.com\/blogs\/a-paint-mixture-was-formed-by-mixing-exactly-3-colors-of-paint-by-volume-the-mixture-was-x-blue-paint-y-green-paint-and-z-red-paint-if-exactly-1-gallon-of-blue-paint-and-3-gallons-of-red-paint-we\/","title":{"rendered":"A paint mixture was formed by mixing exactly 3 colors of paint. By volume, the mixture was x% blue paint, y% green paint, and z% red paint. If exactly 1 gallon of blue paint and 3 gallons of red paint were used, how many gallons of green paint were used? &#8211; OG 2020 Question #346 with Solution"},"content":{"rendered":"<span class=\"rt-reading-time\" style=\"display: block;\"><span class=\"rt-label rt-prefix\">A <\/span> <span class=\"rt-time\">2<\/span> <span class=\"rt-label rt-postfix\">min read <\/span><\/span><h2>OG 2020: Question No. 346<\/h2>\n<p>A paint mixture was formed by mixing exactly 3 colors of paint. By volume, the mixture was x% blue paint, y% green paint, and z% red paint. If exactly 1 gallon of blue paint and 3 gallons of red paint were used, how many gallons of green paint were used?<\/p>\n<ol>\n<li>x = y<\/li>\n<li>z = 60<\/li>\n<\/ol>\n<table>\n<tbody>\n<tr>\n<td width=\"301\">Source<\/td>\n<td width=\"301\">OG 2020<\/td>\n<\/tr>\n<tr>\n<td width=\"301\">Type<\/td>\n<td width=\"301\">Data Sufficiency<\/td>\n<\/tr>\n<tr>\n<td width=\"301\">Topic<\/td>\n<td width=\"301\">Word Problems<\/td>\n<\/tr>\n<tr>\n<td width=\"301\">Sub-Topic<\/td>\n<td width=\"301\">Percents \/ Mixture<\/td>\n<\/tr>\n<tr>\n<td width=\"301\">Difficulty<\/td>\n<td width=\"301\">Medium<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h3>Solution<\/h3>\n<h4><strong><u>Steps 1 &amp; 2: Understand Question and Draw Inferences<\/u><\/strong><\/h4>\n<p>In this question, we are given<\/p>\n<ul>\n<li>A paint mixture was formed by mixing exactly 3 colors of paint.<\/li>\n<li>By volume, the mixture was x% blue paint, y% green paint, and z% red paint.<\/li>\n<li>Exactly 1 gallon of blue paint and 3 gallons of red paint were used.<\/li>\n<\/ul>\n<p>We need to determine<\/p>\n<ul>\n<li>The total amount (gallons) of green paint that were used.<\/li>\n<\/ul>\n<p>If we assume the total volume of the paint mixture is P, then<\/p>\n<ul>\n<li>Blue paint = P * x\/ 100= 1<\/li>\n<li>Red paint = P * z\/100= 3<\/li>\n<li>Green paint = P * y\/100<\/li>\n<\/ul>\n<p>Therefore, we can say that<\/p>\n<ul>\n<li>P * z\/100 = 3 * P * x\/100<\/li>\n<\/ul>\n<p>Or, z = 3x<\/p>\n<p>We also know that in the mixture, only blue, green, and red paint was present.<\/p>\n<ul>\n<li>Therefore, x + y + z = 100<\/li>\n<\/ul>\n<p>Or, x + y + 3x = 100<\/p>\n<p>Or, 4x + y = 100<\/p>\n<p>With this understanding, let us now analyse the individual statements.<\/p>\n<h4><strong><u>Step 3: Analyse Statement 1<\/u><\/strong><\/h4>\n<p>As per the information given in statement 1, x = y.<\/p>\n<p>Thus, we can say<\/p>\n<ul>\n<li>Amount of green paint = P * y\/100= P * x\/100 = 1<\/li>\n<\/ul>\n<p>Hence, statement 1 is sufficient to answer the question.<\/p>\n<h4><strong><u>Step 4: Analyse Statement 2<\/u><\/strong><\/h4>\n<p>As per the information given in statement 2, z = 60<\/p>\n<ul>\n<li>As z = 3x, we can say x = 20.<\/li>\n<li>Also, x + y + z = 100, implies y = 20<\/li>\n<\/ul>\n<p>Now, P *&nbsp; z\/100= 3<\/p>\n<p>Or, P *&nbsp; 60\/100= 3<\/p>\n<p>Or, P = 5<\/p>\n<p>Therefore, we know the value of P as well as the value of z \u2013 thus, we can determine the amount of green paint.<\/p>\n<p>Hence, statement 2 is sufficient to answer the question.<\/p>\n<h4><strong><u>Step 5: Combine Both Statements Together (If Needed)<\/u><\/strong><\/h4>\n<p>Since we can determine the answer from either of the statements individually, this step is not required.<\/p>\n<p>Hence, the correct answer choice is option D.<\/p>\n<blockquote><p>Did you know a 700+ GMAT Score can increase your chances to get into your dream business school? We can help you achieve that. Why don\u2019t you<a href=\"https:\/\/e-gmat.com\/ft-gmat\/?channel=blogsin_article&amp;utm_source=blogs&amp;utm_medium=in_article&amp;utm_campaign=free_trial&amp;utm_term=blogs_in_article_lekhika\" target=\"_blank\" rel=\"noopener noreferrer external\" data-wpel-link=\"external\">&nbsp;<strong>try out our FREE Trial?<\/strong><\/a><strong>&nbsp;<\/strong>We are the<strong>&nbsp;<a href=\"https:\/\/gmatclub.com\/reviews\/e-gmat-6\" target=\"_blank\" rel=\"noopener noreferrer external\" data-wpel-link=\"external\">most reviewed online GMAT Preparation company in GMATClub<\/a><\/strong>&nbsp;with more than 1950 reviews as of November 2020.<\/p><\/blockquote>\n\n<div class=\"ub-buttons align-button-center\"  id=\"ub-button-85633c0a-e00a-4f0e-a722-da445018ae6f\"><div class=\"ub-button-container\">\n    <a href=\"https:\/\/resources.e-gmat.com\/sign-up-free-trial\" target=\"_blank\" rel=\"noopener noreferrer external\" class=\"ub-button-block-main ub-button-medium ub-button-flex-medium\" role=\"button\" data-wpel-link=\"external\">\n    <div class=\"ub-button-content-holder\"><span class=\"ub-button-block-btn\">Sign up for a Free Trial<\/span>\n    <\/div><\/a><\/div><\/div>","protected":false},"excerpt":{"rendered":"<p>OG 2020: Question No. 346 A paint mixture was formed by mixing exactly 3 colors of paint. By volume, the mixture was x% blue paint, y% green paint, and z% red paint. If exactly 1 gallon of blue paint and 3 gallons of red paint were used, how many gallons of green paint were used? [&hellip;]<\/p>\n","protected":false},"author":102413,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_et_pb_use_builder":"","_et_pb_old_content":"","_et_gb_content_width":"","ub_ctt_via":""},"categories":[44,94,60,100,102],"tags":[],"featured_image_src":null,"author_info":{"display_name":"Ashutosh","author_link":"https:\/\/e-gmat.com\/blogs\/author\/ashutoshe-gmat-com\/"},"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v17.1.1 (Yoast SEO v17.1) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>A paint mixture was formed by mixing exactly 3 colors of paint. By volume, the mixture was x% blue paint, y% green paint, and z% red paint. If exactly 1 gallon of blue paint and 3 gallons of red paint were used, how many gallons of green paint were used? - OG 2020 Question #346 with Solution<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/e-gmat.com\/blogs\/a-paint-mixture-was-formed-by-mixing-exactly-3-colors-of-paint-by-volume-the-mixture-was-x-blue-paint-y-green-paint-and-z-red-paint-if-exactly-1-gallon-of-blue-paint-and-3-gallons-of-red-paint-we\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"A paint mixture was formed by mixing exactly 3 colors of paint. By volume, the mixture was x% blue paint, y% green paint, and z% red paint. 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