{"id":24033,"date":"2025-06-18T09:20:58","date_gmt":"2025-06-18T09:20:58","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=24033"},"modified":"2025-06-18T09:21:00","modified_gmt":"2025-06-18T09:21:00","slug":"if-5-pounds-of-beans-cost-4-then-how-much-does-50-pounds-of-beans-cost","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/if-5-pounds-of-beans-cost-4-then-how-much-does-50-pounds-of-beans-cost\/","title":{"rendered":"If 5 pounds of beans cost $4, then how much does 50 pounds of beans cost"},"content":{"rendered":"\n<p>If 5 pounds of beans cost $4, then how much does 50 pounds of beans cost?<\/p>\n\n\n\n<p><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<p><strong>Correct Answer: $40<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>Explanation:<\/strong><\/p>\n\n\n\n<p>To determine how much 50 pounds of beans cost if 5 pounds cost $4, we can use a <strong>unit rate<\/strong> and apply <strong>proportional reasoning<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Step-by-Step Method:<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Find the cost per pound<\/strong>: Cost\u00a0per\u00a0pound=$45\u00a0pounds=$0.80\u00a0per\u00a0pound\\text{Cost per pound} = \\frac{\\$4}{5 \\text{ pounds}} = \\$0.80 \\text{ per pound}<\/li>\n\n\n\n<li><strong>Multiply the cost per pound by 50<\/strong>: Cost\u00a0of\u00a050\u00a0pounds=50\u00d70.80=$40\\text{Cost of 50 pounds} = 50 \\times 0.80 = \\$40<\/li>\n<\/ol>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Alternative Proportion Method:<\/h3>\n\n\n\n<p>We can also solve this using a proportion:<\/p>\n\n\n\n<p>Let xx be the cost of 50 pounds. 5$4=50x\\frac{5}{\\$4} = \\frac{50}{x}<\/p>\n\n\n\n<p>Cross-multiply: 5x=4\u00d750=2005x = 4 \\times 50 = 200 x=2005=$40x = \\frac{200}{5} = \\$40<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Why It Works:<\/h3>\n\n\n\n<p>This problem involves <strong>direct proportionality<\/strong>. When two quantities (like weight and cost) increase at the same rate, their ratio remains constant. In this case, the price increases at a steady rate of $0.80 per pound. So, multiplying the cost per unit by the number of units gives the total cost.<\/p>\n\n\n\n<p>This concept is important in everyday life when budgeting or comparing prices, whether shopping for groceries, buying materials, or calculating expenses.<\/p>\n\n\n\n<p>By understanding unit rates and proportional reasoning, you can solve a wide variety of similar real-world math problems with confidence.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>Final Answer: $40<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>If 5 pounds of beans cost $4, then how much does 50 pounds of beans cost? The correct answer and explanation is: Correct Answer: $40 Explanation: To determine how much 50 pounds of beans cost if 5 pounds cost $4, we can use a unit rate and apply proportional reasoning. Step-by-Step Method: Alternative Proportion Method: [&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-24033","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/24033","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=24033"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/24033\/revisions"}],"predecessor-version":[{"id":24035,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/24033\/revisions\/24035"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=24033"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=24033"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=24033"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}