{"id":24327,"date":"2025-06-18T13:20:04","date_gmt":"2025-06-18T13:20:04","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=24327"},"modified":"2025-06-18T13:20:07","modified_gmt":"2025-06-18T13:20:07","slug":"henry-bought-5-6-pound-of-roasted-almonds-for-five-dollars","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/henry-bought-5-6-pound-of-roasted-almonds-for-five-dollars\/","title":{"rendered":"Henry bought 5\/6 pound of roasted almonds for five dollars"},"content":{"rendered":"\n<p>Henry bought 5\/6 pound of roasted almonds for five dollars. He wants to know the price per pound.<\/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>Answer:<\/strong> The price per pound of the roasted almonds is <strong>$6<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>Henry bought <strong>5\/6<\/strong> of a pound of roasted almonds for <strong>5 dollars<\/strong>. To find the price per pound, we want to know how much <strong>1 full pound<\/strong> of almonds would cost, assuming the price per pound is consistent.<\/p>\n\n\n\n<p>This is a typical unit rate problem where you have a quantity (weight) and a total cost, and you want to find the cost for a standard unit (1 pound).<\/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 solution:<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Identify the quantities:<\/strong>\n<ul class=\"wp-block-list\">\n<li>Amount bought: 56\\frac{5}{6} pounds<\/li>\n\n\n\n<li>Total cost: $5<\/li>\n\n\n\n<li>Price per pound: unknown (let&#8217;s call it pp)<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Set up the relationship:<\/strong> If pp is the price per pound, then the cost for 56\\frac{5}{6} pounds is: Cost=weight\u00d7price\u00a0per\u00a0pound=56\u00d7p\\text{Cost} = \\text{weight} \\times \\text{price per pound} = \\frac{5}{6} \\times p<\/li>\n\n\n\n<li><strong>Use the given cost:<\/strong> The cost for 56\\frac{5}{6} pounds is $5, so: 56\u00d7p=5\\frac{5}{6} \\times p = 5<\/li>\n\n\n\n<li><strong>Solve for pp:<\/strong> Multiply both sides by 65\\frac{6}{5} to isolate pp: p=5\u00d765=6p = 5 \\times \\frac{6}{5} = 6<\/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\">Interpretation:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The price per pound is <strong>$6<\/strong>.<\/li>\n\n\n\n<li>That means if Henry wanted to buy exactly 1 pound of these roasted almonds, it would cost him 6 dollars.<\/li>\n\n\n\n<li>Since he bought less than a pound (5\/6 of a pound), the total cost was correspondingly less ($5).<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Additional notes:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>This kind of problem helps understand unit rates, which is a fundamental concept in proportional reasoning.<\/li>\n\n\n\n<li>It\u2019s common in shopping, cooking, and many real-world scenarios to convert prices or quantities to a per-unit basis to compare prices or understand costs better.<\/li>\n\n\n\n<li>You can always check your answer by multiplying the price per pound by the fraction of the pound bought:<\/li>\n<\/ul>\n\n\n\n<p>6\u00d756=56 \\times \\frac{5}{6} = 5<\/p>\n\n\n\n<p>which matches the given total cost.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Henry bought 5\/6 pound of roasted almonds for five dollars. He wants to know the price per pound. The correct answer and explanation is: Answer: The price per pound of the roasted almonds is $6. Explanation: Henry bought 5\/6 of a pound of roasted almonds for 5 dollars. To find the price per pound, we [&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-24327","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/24327","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=24327"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/24327\/revisions"}],"predecessor-version":[{"id":24328,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/24327\/revisions\/24328"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=24327"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=24327"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=24327"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}