{"id":198,"date":"2022-04-12T09:52:01","date_gmt":"2022-04-12T09:52:01","guid":{"rendered":"http:\/\/7thclass.deltapublications.in\/?page_id=198"},"modified":"2025-12-19T05:11:03","modified_gmt":"2025-12-19T05:11:03","slug":"j-4-equivalent-ratios-word-problems","status":"publish","type":"page","link":"https:\/\/7thclass.deltapublications.in\/index.php\/j-4-equivalent-ratios-word-problems\/","title":{"rendered":"J.4 Equivalent ratios: word problems"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong> Equivalent ratios: word problems<\/strong><\/h2>\n\n\n\n<p class=\"has-text-color has-huge-font-size\" style=\"color:#74008b\">Key notes:<\/p>\n\n\n\n<div class=\"wp-block-group has-large-font-size\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<h3 class=\"wp-block-heading has-large-font-size\">\ud83d\udd22 What is a Ratio?<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>A <strong>ratio<\/strong> compares two quantities using <strong>:<code>**, **<\/code>to`<\/strong>, or <strong>fractions<\/strong><br>\ud83d\udc49 Example: 2 : 3, 2 to 3, or 2\/3<\/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 has-large-font-size\">\u267b\ufe0f What are Equivalent Ratios?<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Equivalent ratios<\/strong> have the <strong>same value<\/strong>, even if the numbers look different<\/li>\n\n\n\n<li>You can get them by <strong>multiplying or dividing<\/strong> both terms by the <strong>same number<\/strong> \u2716\ufe0f\u2797<\/li>\n<\/ul>\n\n\n\n<p>\u2728 Example:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>2 : 4 = 4 : 8 = 6 : 12<\/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 has-large-font-size\">\ud83e\uddee How to Solve Word Problems with Equivalent Ratios<\/h3>\n\n\n\n<p>1\ufe0f\u20e3 <strong>Read carefully<\/strong> \ud83d\udc40<br>2\ufe0f\u20e3 <strong>Identify the ratio<\/strong> in the problem<br>3\ufe0f\u20e3 <strong>Multiply or divide<\/strong> both parts by the same number<br>4\ufe0f\u20e3 <strong>Check<\/strong> if the ratios are equal \u2705<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">\ud83e\udde0 Key Tips to Remember<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\ud83d\udd01 Always change <strong>both numbers<\/strong> in the ratio<\/li>\n\n\n\n<li>\u274c Never add or subtract to find equivalent ratios<\/li>\n\n\n\n<li>\ud83d\udff0 Equivalent ratios represent the <strong>same comparison<\/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 has-large-font-size\">\ud83d\udce6 Real-Life Examples<\/h3>\n\n\n\n<p>\ud83c\udf4e If 3 apples cost \u20b930, then<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>6 apples cost \u20b960<\/li>\n\n\n\n<li>9 apples cost \u20b990<\/li>\n<\/ul>\n\n\n\n<p>\ud83d\udc55 If 2 shirts need 4 meters of cloth,<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>4 shirts need 8 meters<\/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 has-large-font-size\">\ud83c\udfaf Cross-Multiplication Check<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>For ratios <strong>a : b<\/strong> and <strong>c : d<\/strong>, check:<br>\ud83d\udc49 <strong>a \u00d7 d = b \u00d7 c<\/strong> \u2714\ufe0f<\/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 has-large-font-size\">\ud83c\udfeb Why Are Equivalent Ratios Important?<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\ud83d\uded2 Useful in <strong>shopping and pricing<\/strong><\/li>\n\n\n\n<li>\ud83c\udf73 Helpful in <strong>recipes and cooking<\/strong><\/li>\n\n\n\n<li>\ud83d\udcd0 Used in <strong>scale drawings and maps<\/strong><\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-align-center has-text-color has-large-font-size\" style=\"color:#105000\"><strong>Learn with an example<\/strong><\/p>\n\n\n\n<div class=\"wp-block-group has-background\" style=\"background-color:#cef4f9\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color\" style=\"color:#b00012\">\u25b6\ufe0f<strong> Are these ratios equivalent?<\/strong><\/p>\n\n\n\n<p>6 plates : 10 bowls<\/p>\n\n\n\n<p>9 plates : 15 bowls<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>yes<\/li>\n\n\n\n<li>no<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p>Write the ratios as fractions.<\/p>\n\n\n\n<p>6 \/ 10 and 9 \/ 15<\/p>\n\n\n\n<p>Compare the two fractions to see if they are equivalent.<\/p>\n\n\n\n<p>6 \/ 10 ? 9 \/ 15<\/p>\n\n\n\n<p>6 \u00d7 15 = 10 \u00d7 9         Multiply both sides by 10 \u00d7 15<\/p>\n\n\n\n<p>90 = 90             Simplify<\/p>\n\n\n\n<p>The fractions are equivalent, so the ratios are equivalent.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background\" style=\"background-color:#f0f5ba\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color\" style=\"color:#b00012\">\u25b6\ufe0f<strong> Are these ratios equivalent?<\/strong><\/p>\n\n\n\n<p>8p : 3 people<\/p>\n\n\n\n<p>3p : 2 people<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>yes<\/li>\n\n\n\n<li>no<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p>Write the ratios as fractions.<\/p>\n\n\n\n<p>8 \/ 3 and 3 \/ 2<\/p>\n\n\n\n<p>Compare the two fractions to see if they are equivalent.<\/p>\n\n\n\n<p>8 \/ 3 = 3\/2<\/p>\n\n\n\n<p>8 \u00d7 2 = 3 \u00d7 3             Multiply both sides by 3 \u00d7 2<\/p>\n\n\n\n<p>16 \u2260 9               Simplify<\/p>\n\n\n\n<p>The cross products are not equal, so the ratios are not equivalent.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background\" style=\"background-color:#f9d2cb\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color\" style=\"color:#b00012\">\u25b6\ufe0f <strong>Are these ratios equivalent?<\/strong><\/p>\n\n\n\n<p>5 large necklaces : 2 small necklaces<\/p>\n\n\n\n<p>15 large necklaces : 6 small necklaces <\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>yes<\/li>\n\n\n\n<li>no<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p>Write the ratios as fractions.<\/p>\n\n\n\n<p>5 \/ 2 and 15 \/ 6<\/p>\n\n\n\n<p>Compare the two fractions to see if they are equivalent.<\/p>\n\n\n\n<p>5 \/ 2 = 15 \/ 6<\/p>\n\n\n\n<p>5 \u00d7 6 = 2 \u00d7 15             Multiply both sides by 2 \u00d7 6<\/p>\n\n\n\n<p>30 = 30             Simplify<\/p>\n\n\n\n<p>The fractions are equivalent, so the ratios are equivalent.<\/p>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color has-large-font-size\" style=\"color:#d90000\">let&#8217;s practice! \ud83d\udd8a\ufe0f<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/85927\/275\/465\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-310.png\" alt=\"\" class=\"wp-image-7555\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-310.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-310-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-310-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-310-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/31240\/630\/778\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-320.png\" alt=\"\" class=\"wp-image-7557\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-320.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-320-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-320-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-320-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Equivalent ratios: word problems Key notes: \ud83d\udd22 What is a Ratio? \u267b\ufe0f What are Equivalent Ratios? \u2728 Example: \ud83e\uddee How to Solve Word Problems with Equivalent Ratios 1\ufe0f\u20e3 Read carefully \ud83d\udc402\ufe0f\u20e3 Identify the ratio in the problem3\ufe0f\u20e3 Multiply or divide both parts by the same number4\ufe0f\u20e3 Check if the ratios are equal \u2705 \ud83e\udde0 Key<a class=\"more-link\" href=\"https:\/\/7thclass.deltapublications.in\/index.php\/j-4-equivalent-ratios-word-problems\/\">Continue reading <span class=\"screen-reader-text\">&#8220;J.4 Equivalent ratios: word problems&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"om_disable_all_campaigns":false,"footnotes":""},"class_list":["post-198","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/198","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=198"}],"version-history":[{"count":11,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/198\/revisions"}],"predecessor-version":[{"id":17649,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/198\/revisions\/17649"}],"wp:attachment":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=198"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}