{"id":230416,"date":"2025-06-09T11:53:28","date_gmt":"2025-06-09T11:53:28","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=230416"},"modified":"2025-06-09T11:53:30","modified_gmt":"2025-06-09T11:53:30","slug":"melanie-is-making-lemonade-and-finds-a-recipe-that-calls-for-1-part-lemon-juice-2-parts-sugar-and-8-parts-water","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/09\/melanie-is-making-lemonade-and-finds-a-recipe-that-calls-for-1-part-lemon-juice-2-parts-sugar-and-8-parts-water\/","title":{"rendered":"Melanie is making lemonade and finds a recipe that calls for 1 part lemon juice, 2 parts sugar, and 8 parts water"},"content":{"rendered":"\n<p> Melanie is making lemonade and finds a recipe that calls for 1 part lemon juice, 2 parts sugar, and 8 parts water. She juices 2 lemons to obtain 6 tablespoons of lemon juice. How much sugar and water will she need to make lemonade with the same ratio of ingredients as the recipe? (Hint: 1 cup equals 16 tablespoons) Ingredient Amount Flour 3c Salt<\/p>\n\n\n\n<p>tsp Yeast 2 tsp Water 1c Olive Oil 4 tsp 9. The pizza dough recipe shown makes one batch of dough. Charlie wants to make a half<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-0-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p><strong>Answer:<\/strong><\/p>\n\n\n\n<p>Since Melanie has <strong>6 tablespoons of lemon juice<\/strong>, and the recipe calls for a ratio of <strong>1 part lemon juice : 2 parts sugar : 8 parts water<\/strong>, we can use this ratio to find how much sugar and water she needs.<\/p>\n\n\n\n<p>Let\u2019s break it down step-by-step:<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Identify the ratio<\/h3>\n\n\n\n<p>The ratio is:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Lemon Juice : Sugar : Water = 1 : 2 : 8<\/li>\n<\/ul>\n\n\n\n<p>This means for every 1 part lemon juice, you need:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>2 parts sugar<\/li>\n\n\n\n<li>8 parts water<\/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\">Step 2: Determine the &#8220;1 part&#8221; value<\/h3>\n\n\n\n<p>Melanie has 6 tablespoons of lemon juice.<\/p>\n\n\n\n<p>Since that corresponds to the \u201c1 part\u201d in the ratio, we multiply the other parts by 6:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Sugar = 2 parts \u00d7 6 = <strong>12 tablespoons<\/strong><\/li>\n\n\n\n<li>Water = 8 parts \u00d7 6 = <strong>48 tablespoons<\/strong><\/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\">Step 3: Convert tablespoons to cups (if needed)<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>16 tablespoons = 1 cup<br>So:<\/li>\n\n\n\n<li>Sugar:<br>12\u00f716=0.7512 \\div 16 = 0.7512\u00f716=0.75 cups = <strong>\u00be cup sugar<\/strong><\/li>\n\n\n\n<li>Water:<br>48\u00f716=348 \\div 16 = 348\u00f716=3 cups = <strong>3 cups water<\/strong><\/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\"><strong>Final Answer:<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Sugar: <strong>\u00be cup (or 12 tablespoons)<\/strong><\/li>\n\n\n\n<li>Water: <strong>3 cups (or 48 tablespoons)<\/strong><\/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\"><strong>Explanation <\/strong><\/h3>\n\n\n\n<p>This problem is about using a given ratio to scale up a recipe based on how much of one ingredient you have. The original lemonade recipe uses the ratio <strong>1:2:8<\/strong> for lemon juice, sugar, and water. This tells us the relative amounts of each ingredient \u2014 for every 1 unit of lemon juice, there should be 2 units of sugar and 8 units of water. Importantly, the actual size of the \u201cunit\u201d doesn\u2019t matter as long as it\u2019s consistent across all ingredients.<\/p>\n\n\n\n<p>In Melanie\u2019s case, she juiced lemons and ended up with 6 tablespoons of lemon juice. We treat this as the \u201c1 part\u201d from the original ratio. That means the \u201c2 parts\u201d of sugar becomes <strong>2 \u00d7 6 = 12 tablespoons<\/strong>, and the \u201c8 parts\u201d of water becomes <strong>8 \u00d7 6 = 48 tablespoons<\/strong>.<\/p>\n\n\n\n<p>Since most kitchen measurements are often given in cups, we convert tablespoons to cups. There are 16 tablespoons in a cup. Dividing 12 tablespoons by 16 gives us <strong>\u00be cup of sugar<\/strong>, and dividing 48 tablespoons by 16 gives us <strong>3 cups of water<\/strong>.<\/p>\n\n\n\n<p>Understanding and applying ratios in this way is helpful not just in cooking but in many real-life situations where scaling is needed. Once you determine the base unit \u2014 in this case, 6 tablespoons of lemon juice \u2014 you can multiply the other parts accordingly to maintain the balance and flavor of the recipe.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner5-180.jpeg\" alt=\"\" class=\"wp-image-230417\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Melanie is making lemonade and finds a recipe that calls for 1 part lemon juice, 2 parts sugar, and 8 parts water. She juices 2 lemons to obtain 6 tablespoons of lemon juice. How much sugar and water will she need to make lemonade with the same ratio of ingredients as the recipe? (Hint: 1 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-230416","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/230416","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=230416"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/230416\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=230416"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=230416"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=230416"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}