{"id":21266,"date":"2019-05-20T16:01:55","date_gmt":"2019-05-20T10:31:55","guid":{"rendered":"https:\/\/e-gmat.com\/blogs\/?p=21266"},"modified":"2022-11-17T13:16:40","modified_gmt":"2022-11-17T07:46:40","slug":"jack-picked-76-apples-of-these-he-sold-4y-apples-to-juanita-and-3t-apples-to-sylvia-if-he-kept-the-remaining-apples-how-many-apples-did-he-keep-t-and-y-are-positive-integers-og-2020-question","status":"publish","type":"post","link":"https:\/\/e-gmat.com\/blogs\/jack-picked-76-apples-of-these-he-sold-4y-apples-to-juanita-and-3t-apples-to-sylvia-if-he-kept-the-remaining-apples-how-many-apples-did-he-keep-t-and-y-are-positive-integers-og-2020-question\/","title":{"rendered":"Jack picked 76 apples. Of these, he sold 4y apples to Juanita and 3t apples to Sylvia. If he kept the remaining apples, how many apples did he keep? (t and y are positive integers.) &#8211; OG 2020 Question #313 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><div class='two_third'>\n\t\t\t\t\t<h2>OG 2020: Question No. 313<\/h2>\n<p>Jack picked 76 apples. Of these, he sold 4y apples to Juanita and 3t apples to Sylvia. If he kept the remaining apples, how many apples did he keep? (t and y are positive integers.)<\/p>\n<ol>\n<li>y \u2265 15 and t = 2<\/li>\n<li>y = 17<\/li>\n<\/ol>\n\t\t\t\t<\/div>\n<div class='one_third et_column_last'>\n\t\t\t\t\t<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\">Topi<\/td>\n<td width=\"301\">Algebra<\/td>\n<\/tr>\n<tr>\n<td width=\"301\">Sub-Topic<\/td>\n<td width=\"301\">Linear Equations\/ Inequalities<\/td>\n<\/tr>\n<tr>\n<td width=\"301\">Difficulty<\/td>\n<td width=\"301\">Easy &#8211; Medium<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\t\t\t\t<\/div><div class='clear'><\/div>\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>Jack picked 76 apples.<\/li>\n<li>Of these 76 apples, he sold 4y apples to Juanita and 3t apples to Sylvia (y and t are positive integers).<\/li>\n<li>After selling them, Jack kept the remaining apples.<\/li>\n<\/ul>\n<p>We need to determine<\/p>\n<ul>\n<li>The number of apples that Jack kept with himself.<\/li>\n<\/ul>\n<p>As Jack sold 4y and 3t apples from a total of 76 apples, he is left with 76 \u2013 (4y + 3t) apples.<\/p>\n<ul>\n<li>Hence, to determine the number of apples left, we need to know the values of both y and t or 4y +3t.<\/li>\n<\/ul>\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, y \u2265 15 and t = 2.<\/p>\n<ul>\n<li>From this statement, we know the exact value of t.<\/li>\n<li>However, from the given range of y \u2265 15, we cannot determine the exact value of y.\n<ul>\n<li>For example, if y = 15, number of apples left = 76 \u2013 4 \u00d7 15 \u2013 3 \u00d7 2 = 10<\/li>\n<li>Alternatively, if y = 16, number of apples left = 76 \u2013 4 \u00d7 16 \u2013 3 \u00d7 2 = 6<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>As we don\u2019t know the exact value of y, statement 1 is not 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, y = 17.<\/p>\n<ul>\n<li>However, from this statement, we cannot determine the exact value of t.<\/li>\n<\/ul>\n<p>Hence, statement 2 is not sufficient to answer the question.<\/p>\n<h4><strong><u>Step 5: Combine Both Statements Together (If Needed)<\/u><\/strong><\/h4>\n<p>Combining the information from both statements, we can say<\/p>\n<ul>\n<li>y = 17 and t = 2<\/li>\n<\/ul>\n<p>As we know the values of both y and t, we can determine the number of apples left with Jack.<\/p>\n<p>Hence, the correct answer choice is option C.<\/p>\n\n\n<p><strong>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=\"noreferrer noopener external\" data-wpel-link=\"external\">\u00a0try out our FREE Trial?<\/a>\u00a0We are the\u00a0<a href=\"https:\/\/gmatclub.com\/reviews\/e-gmat-6\" target=\"_blank\" rel=\"noreferrer noopener external\" data-wpel-link=\"external\">most-reviewed online GMAT Preparation company in GMATClub<\/a>\u00a0with more than 1950 reviews.<\/strong><\/p>\n\n\n<div class=\"ub-buttons align-button-center\"  id=\"ub-button-cc677547-21ef-4563-8649-ac6e97b994b3\"><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>\n\n\n<p><a href=\"https:\/\/resources.e-gmat.com\/sign-up-free-trial\" target=\"_blank\" rel=\"noreferrer noopener external\" data-wpel-link=\"external\"><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Solution Steps 1 &amp; 2: Understand Question and Draw Inferences In this question, we are given Jack picked 76 apples. Of these 76 apples, he sold 4y apples to Juanita and 3t apples to Sylvia (y and t are positive integers). After selling them, Jack kept the remaining apples. We need to determine The number [&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":[103,92,44,94,60,100],"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>Jack picked 76 apples. Of these, he sold 4y apples to Juanita and 3t apples to Sylvia. If he kept the remaining apples, how many apples did he keep? 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