{"id":23079,"date":"2025-06-17T09:47:12","date_gmt":"2025-06-17T09:47:12","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=23079"},"modified":"2025-06-17T09:47:15","modified_gmt":"2025-06-17T09:47:15","slug":"write-an-equation-to-represent-the-following-equation-60-is-5-times-as-great-as-k-solve-for-k","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/write-an-equation-to-represent-the-following-equation-60-is-5-times-as-great-as-k-solve-for-k\/","title":{"rendered":"write an equation to represent the following equation: 60 is 5 times as great as k solve for k"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">write an equation to represent the following equation: 60 is 5 times as great as k solve for k<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\"><strong>The correct answer and explanation is:<\/strong><\/mark><\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Correct Answer:<\/strong><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">The equation that represents the statement <strong>&#8220;60 is 5 times as great as k&#8221;<\/strong> is: 60=5k60 = 5k<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">To solve for <strong>k<\/strong>, divide both sides of the equation by 5: k=605=12k = \\frac{60}{5} = 12<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>300-Word Explanation:<\/strong><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">The statement \u201c60 is 5 times as great as <strong>k<\/strong>\u201d is a comparison that can be translated into a mathematical equation. Let\u2019s break it down:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The number <strong>60<\/strong> is being compared to <strong>k<\/strong>.<\/li>\n\n\n\n<li>The phrase <strong>\u201c5 times as great as k\u201d<\/strong> means that you multiply <strong>k<\/strong> by 5.<\/li>\n\n\n\n<li>So, we can say that <strong>60 equals 5 multiplied by k<\/strong>, which gives us the equation:<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">60=5k60 = 5k<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">This is a linear equation where <strong>k<\/strong> is the unknown variable. The goal is to isolate <strong>k<\/strong> on one side of the equation so we can find its value.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">To isolate <strong>k<\/strong>, divide both sides of the equation by 5: 605=5k5\\frac{60}{5} = \\frac{5k}{5} 12=k12 = k<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Thus, <strong>k = 12<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Understanding the Logic:<\/strong><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Translating word problems into equations is a key skill in algebra. Key phrases help with this process:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>&#8220;Is&#8221; typically means <strong>equals (=)<\/strong>.<\/li>\n\n\n\n<li>&#8220;Times&#8221; indicates <strong>multiplication<\/strong>.<\/li>\n\n\n\n<li>&#8220;As great as&#8221; means we are comparing two quantities.<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">In this case, the structure is:<br><strong>[Known number] = [Multiplier] \u00d7 [Unknown]<\/strong><br>Which is:<br><strong>60 = 5 \u00d7 k<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">By solving, we discover that <strong>k must be 12<\/strong>, because 5 multiplied by 12 gives us 60.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">This problem demonstrates how algebra allows us to find unknown values using logical relationships described in words.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>write an equation to represent the following equation: 60 is 5 times as great as k solve for k The correct answer and explanation is: Correct Answer: The equation that represents the statement &#8220;60 is 5 times as great as k&#8221; is: 60=5k60 = 5k To solve for k, divide both sides of the equation [&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-23079","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/23079","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=23079"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/23079\/revisions"}],"predecessor-version":[{"id":23080,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/23079\/revisions\/23080"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=23079"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=23079"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=23079"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}