{"id":156373,"date":"2024-10-17T08:10:49","date_gmt":"2024-10-17T08:10:49","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=156373"},"modified":"2024-10-17T08:10:51","modified_gmt":"2024-10-17T08:10:51","slug":"in-a-large-aquarium","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/10\/17\/in-a-large-aquarium\/","title":{"rendered":"In a large aquarium"},"content":{"rendered":"\n<p>In a large aquarium, there are 3 starfish for every 4 sea horses. <\/p>\n\n\n\n<p>(a) Write the ratio of starfish to sea horses. 0 <\/p>\n\n\n\n<p>(b) If there are 44 sea horses in the large aquarium, how many starfish are there? starfish\u200b<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\"><strong>The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n<p>To solve the problem, let\u2019s break it down into two parts:<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">(a) Writing the Ratio of Starfish to Sea Horses<\/h3>\n\n\n\n<p>The ratio of starfish to sea horses is given as 3 starfish for every 4 sea horses. This can be expressed as:<\/p>\n\n\n\n<p>[<br>\\text{Ratio of Starfish to Sea Horses} = \\frac{3 \\text{ starfish}}{4 \\text{ sea horses}}<br>]<\/p>\n\n\n\n<p>This can also be written as 3:4, which shows the relationship between the two groups.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">(b) Finding the Number of Starfish When There Are 44 Sea Horses<\/h3>\n\n\n\n<p>We know from the ratio that for every 4 sea horses, there are 3 starfish. We can use this information to find the number of starfish when there are 44 sea horses.<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Set up the proportion based on the ratio:<\/strong> [<br>\\frac{3 \\text{ starfish}}{4 \\text{ sea horses}} = \\frac{x \\text{ starfish}}{44 \\text{ sea horses}}<br>] Here, ( x ) represents the number of starfish we want to find.<\/li>\n\n\n\n<li><strong>Cross-multiply to solve for ( x ):<\/strong> [<br>3 \\times 44 = 4 \\times x<br>] This simplifies to: [<br>132 = 4x<br>]<\/li>\n\n\n\n<li><strong>Solve for ( x ):<\/strong> [<br>x = \\frac{132}{4} = 33<br>]<\/li>\n<\/ol>\n\n\n\n<p>Therefore, when there are 44 sea horses, there are <strong>33 starfish<\/strong> in the aquarium.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation<\/h3>\n\n\n\n<p>Understanding ratios helps in various real-world applications, such as managing the populations of species in an aquarium. The ratio of 3:4 indicates a proportional relationship, which can be scaled up or down depending on the actual numbers involved. By applying basic algebra, we set up a proportion based on the known ratio, enabling us to determine the number of starfish corresponding to a specified number of sea horses. This approach is particularly useful in scenarios where maintaining balance in ecosystems is crucial, ensuring that different species are kept in proportion to support a healthy environment.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>In a large aquarium, there are 3 starfish for every 4 sea horses. (a) Write the ratio of starfish to sea horses. 0 (b) If there are 44 sea horses in the large aquarium, how many starfish are there? starfish\u200b The Correct Answer and Explanation is : To solve the problem, let\u2019s break it down [&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-156373","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/156373","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=156373"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/156373\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=156373"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=156373"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=156373"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}