{"id":44904,"date":"2025-06-30T19:42:00","date_gmt":"2025-06-30T19:42:00","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=44904"},"modified":"2025-06-30T19:42:01","modified_gmt":"2025-06-30T19:42:01","slug":"next-bookmark-each-chef-at-sushi-emperor-restaurant-prepares-15-regular-sushi-rolls-and-20-vegetarian-sushi-rolls-daily","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/next-bookmark-each-chef-at-sushi-emperor-restaurant-prepares-15-regular-sushi-rolls-and-20-vegetarian-sushi-rolls-daily\/","title":{"rendered":"NEXT BOOKMARK Each chef at &#8220;Sushi Emperor&#8221; restaurant prepares 15 regular sushi rolls and 20 vegetarian sushi rolls daily"},"content":{"rendered":"\n<p>NEXT BOOKMARK Each chef at &#8220;Sushi Emperor&#8221; restaurant prepares 15 regular sushi rolls and 20 vegetarian sushi rolls daily: On Tuesday; each customer ate 2 regular rolls and 3 vegetarian rolls: At the end of the day, 4 regular rolls and 1 vegetarian roll remained uneaten How many chefs and how many customers were in &#8220;Sushi Emperor&#8217; on Tuesday? There were chefs and customers&#8217;<\/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>To solve this problem, let&#8217;s break down the information step by step:<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Define Variables<\/h3>\n\n\n\n<p>Let:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>ccc be the number of chefs working on Tuesday.<\/li>\n\n\n\n<li>nnn be the number of customers who visited the restaurant.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Roll Preparation<\/h3>\n\n\n\n<p>Each chef prepares 15 regular sushi rolls and 20 vegetarian rolls every day. Therefore, the total number of rolls prepared by ccc chefs is:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Regular rolls: 15c15c15c<\/li>\n\n\n\n<li>Vegetarian rolls: 20c20c20c<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Rolls Consumed by Customers<\/h3>\n\n\n\n<p>Each customer eats 2 regular rolls and 3 vegetarian rolls. Thus, the total number of rolls consumed by nnn customers is:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Regular rolls: 2n2n2n<\/li>\n\n\n\n<li>Vegetarian rolls: 3n3n3n<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Step 4: Leftover Rolls<\/h3>\n\n\n\n<p>At the end of the day, there are 4 regular rolls and 1 vegetarian roll left uneaten. This means the total rolls prepared minus the rolls consumed equals the leftover rolls:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Regular rolls: 15c\u22122n=415c &#8211; 2n = 415c\u22122n=4<\/li>\n\n\n\n<li>Vegetarian rolls: 20c\u22123n=120c &#8211; 3n = 120c\u22123n=1<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Step 5: Solve the System of Equations<\/h3>\n\n\n\n<p>We now have the system of two equations:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>15c\u22122n=415c &#8211; 2n = 415c\u22122n=4<\/li>\n\n\n\n<li>20c\u22123n=120c &#8211; 3n = 120c\u22123n=1<\/li>\n<\/ol>\n\n\n\n<p>To solve this, let&#8217;s start by multiplying the first equation by 3 and the second equation by 2 to eliminate nnn:3(15c\u22122n)=3(4)\u21d245c\u22126n=123(15c &#8211; 2n) = 3(4) \\quad \\Rightarrow \\quad 45c &#8211; 6n = 123(15c\u22122n)=3(4)\u21d245c\u22126n=122(20c\u22123n)=2(1)\u21d240c\u22126n=22(20c &#8211; 3n) = 2(1) \\quad \\Rightarrow \\quad 40c &#8211; 6n = 22(20c\u22123n)=2(1)\u21d240c\u22126n=2<\/p>\n\n\n\n<p>Now subtract the second equation from the first:(45c\u22126n)\u2212(40c\u22126n)=12\u22122(45c &#8211; 6n) &#8211; (40c &#8211; 6n) = 12 &#8211; 2(45c\u22126n)\u2212(40c\u22126n)=12\u221225c=105c = 105c=10c=2c = 2c=2<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 6: Find nnn<\/h3>\n\n\n\n<p>Substitute c=2c = 2c=2 into the first equation:15(2)\u22122n=4\u21d230\u22122n=415(2) &#8211; 2n = 4 \\quad \\Rightarrow \\quad 30 &#8211; 2n = 415(2)\u22122n=4\u21d230\u22122n=4\u22122n=\u221226\u21d2n=13-2n = -26 \\quad \\Rightarrow \\quad n = 13\u22122n=\u221226\u21d2n=13<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 7: Conclusion<\/h3>\n\n\n\n<p>Thus, there were <strong>2 chefs<\/strong> and <strong>13 customers<\/strong> in the restaurant on Tuesday.<\/p>\n\n\n\n<p>This solution satisfies both the total number of rolls prepared and the number of rolls consumed, while accounting for the leftovers at the end of the day.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"852\" height=\"1024\" src=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1557.jpeg\" alt=\"\" class=\"wp-image-44911\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1557.jpeg 852w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1557-250x300.jpeg 250w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1557-768x923.jpeg 768w\" sizes=\"auto, (max-width: 852px) 100vw, 852px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>NEXT BOOKMARK Each chef at &#8220;Sushi Emperor&#8221; restaurant prepares 15 regular sushi rolls and 20 vegetarian sushi rolls daily: On Tuesday; each customer ate 2 regular rolls and 3 vegetarian rolls: At the end of the day, 4 regular rolls and 1 vegetarian roll remained uneaten How many chefs and how many customers were in [&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-44904","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/44904","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=44904"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/44904\/revisions"}],"predecessor-version":[{"id":44912,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/44904\/revisions\/44912"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=44904"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=44904"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=44904"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}