{"id":203,"date":"2022-04-08T05:15:57","date_gmt":"2022-04-08T05:15:57","guid":{"rendered":"http:\/\/6thclass.deltapublications.in\/?page_id=203"},"modified":"2025-02-10T09:03:40","modified_gmt":"2025-02-10T09:03:40","slug":"m-2-write-a-ratio-word-problems","status":"publish","type":"page","link":"https:\/\/6thclass.deltapublications.in\/index.php\/m-2-write-a-ratio-word-problems\/","title":{"rendered":"M.2 Write a ratio: word problems"},"content":{"rendered":"\n<p class=\"has-text-align-center has-text-color has-huge-font-size\" style=\"color:#00056d;text-transform:uppercase\"><strong> Write a ratio: word problems<\/strong><\/p>\n\n\n\n<p class=\"has-text-color has-link-color has-huge-font-size wp-elements-aae0d72b0df05b1a7d05750bd97517d2\" style=\"color:#74008b\"><strong>Key Notes :<\/strong><\/p>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-69a0049fb762702f01f91353378747db\" style=\"color:#000060\"><strong>Definition of a Ratio<\/strong><\/p>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>A ratio is a comparison of two quantities using division.<\/li>\n\n\n\n<li>It shows how many times one value is contained within another.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-546bae0bdc8996e05adba76e5a862e7d\" style=\"color:#000060\"><strong>Ways to Write a Ratio<\/strong><\/p>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li><strong>Using a colon:<\/strong> 3:4<\/li>\n\n\n\n<li><strong>As a fraction:<\/strong> 3\/4<\/li>\n\n\n\n<li><strong>In words:<\/strong> &#8220;3 to 4&#8221;<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-de1b1a5509b78207c9d28d42c6cd1115\" style=\"color:#000060\"><strong>Understanding the Order in Ratios<\/strong><\/p>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>The order of the numbers in a ratio is important.<\/li>\n\n\n\n<li>Example: If a problem says \u201cThere are 2 apples for every 3 oranges,\u201d the correct ratio is <strong>2:3<\/strong>, not 3:2.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-a5adcd735d446a85a7ee530bb6d5d499\" style=\"color:#000060\"><strong>Solving Word Problems with Ratios<\/strong><\/p>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li><strong>Step 1:<\/strong> Identify the two quantities being compared.<\/li>\n\n\n\n<li><strong>Step 2:<\/strong> Determine the correct order of the ratio based on the problem.<\/li>\n\n\n\n<li><strong>Step 3:<\/strong> Write the ratio in the preferred form (colon, fraction, or words).<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-aab11d8053647b05edd375f6c8d146e5\" style=\"color:#000060\"><strong>Equivalent Ratios<\/strong><\/p>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>Ratios can be scaled up or down just like fractions.<\/li>\n\n\n\n<li>Example: If the ratio of boys to girls is 2:3, then multiplying both by 2 gives 4:6, which is an equivalent ratio.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-9e37721545eb52a89e3a9b7eb26b70cb\" style=\"color:#000060\"><strong>Common Ratio Word Problems<\/strong><\/p>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>Comparing objects (e.g., &#8220;There are 5 red balls and 3 blue balls. What is the ratio of red to blue balls?&#8221;)<\/li>\n\n\n\n<li>Comparing distances, prices, or measurements (e.g., &#8220;A recipe uses 2 cups of sugar for every 5 cups of flour. Write the ratio of sugar to flour.&#8221;)<\/li>\n\n\n\n<li>Real-life applications (e.g., &#8220;For every 3 students in a classroom, there are 2 desks. Write the ratio of students to desks.&#8221;)<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-8958002fef0315bcb2bee9d2a4e2707b\" style=\"color:#000060\"><strong>Simplifying Ratios<\/strong><\/p>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>Just like fractions, ratios should be simplified when possible.<\/li>\n\n\n\n<li>Example: A ratio of 10:15 simplifies to 2:3 by dividing both numbers by 5.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-9a639dcbad8f5c1cc1a09c333cd20d2f\" style=\"color:#000060\"><strong>Using Ratios in Proportions<\/strong><\/p>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>Ratios help in solving problems where one part of the ratio is missing.<\/li>\n\n\n\n<li>Example: If a map has a scale of 1:100, then 3 cm on the map represents 300 cm in real life.<\/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-primary-color has-text-color has-background has-link-color has-large-font-size wp-elements-2e06b29eee1911cf1e67bd7a24629e3e\" style=\"background-color:#e6bcbc\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group has-primary-color has-background-background-color has-text-color has-background has-link-color wp-elements-8ef8a5d911c52495827f262ecea558df\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p>2 students are going on a field trip and 45 students are staying at school. <\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-19df7a9f98a011848a55db0543508963\" style=\"color:#b00012\"><strong>What is the ratio of the number of students who are going on the field trip to the number of students who are staying at school?<\/strong><\/p>\n\n\n\n<p>47:45, 45:47, 2:45, 47:4<\/p>\n<\/div><\/div>\n\n\n\n<p>Find the number of students who are going on the field trip and the number of students who are staying at school.<\/p>\n\n\n\n<p>number of students who are going on the field trip = 2<br>number of students who are staying at school = 45<\/p>\n\n\n\n<p>Write the ratio.<\/p>\n\n\n\n<p>2:45<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-primary-color has-text-color has-background has-link-color has-large-font-size wp-elements-547e0b2f64675adaddf8ca0e9960dcb3\" style=\"background-color:#b1eddb\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group has-primary-color has-background-background-color has-text-color has-background has-link-color wp-elements-62d1efcdf240d4d6ca68705727c7608a\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p>The sixth-graders at Mike&#8217;s school got to visit either the science museum or the history museum. 39 students picked the science museum and 10 students picked the history museum. <\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-90eee4ad4dcdb3f59cdccaa4e6731e71\" style=\"color:#b00012\"><strong>What is the ratio of the number of sixth-graders who visited the history museum to the number of sixth-graders who visited the science museum?<\/strong><\/p>\n\n\n\n<p>49:10 ,49:39, 10:39, 39:10<\/p>\n<\/div><\/div>\n\n\n\n<p>Find the number of sixth-graders who visited the history museum and the number of sixth-graders who visited the science museum.<\/p>\n\n\n\n<p>number of sixth-graders who visited the history museum = 10<br>number of sixth-graders who visited the science museum = 39<\/p>\n\n\n\n<p>Write the ratio.<\/p>\n\n\n\n<p>10:39<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-primary-color has-text-color has-background has-link-color has-large-font-size wp-elements-c6f7160aae44c18ee2805eb427b0f651\" style=\"background-color:#a7d2ee\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group has-primary-color has-background-background-color has-text-color has-background has-link-color wp-elements-37f5c2dbc7ec2b41cc32881c86fd53ee\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p>In the auditorium there are 26 red chairs and 24 blue chairs.<\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-ccb4f7afbbe2060ea05db64e0ab6ba5c\" style=\"color:#b00012\"><strong> What is the ratio of the number of blue chairs to the number of red chairs?<\/strong><\/p>\n\n\n\n<p>24:26, 48:50, 2:50, 26:50<\/p>\n<\/div><\/div>\n\n\n\n<p>Find the number of blue chairs and the number of red chairs.<\/p>\n\n\n\n<p>number of blue chairs = 24<br>number of red chairs = 26<\/p>\n\n\n\n<p>Write the ratio.<\/p>\n\n\n\n<p>24:26<\/p>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color has-large-font-size\" style=\"color:#d90000\"><strong>Let&#8217;s practice!\ud83d\udd8a\ufe0f<\/strong><\/p>\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\/84144\/720\/894\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-29.png\" alt=\"\" class=\"wp-image-5488\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-29.png 500w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-29-300x300.png 300w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-29-150x150.png 150w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-29-400x400.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\/86071\/805\/702\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-30.png\" alt=\"\" class=\"wp-image-5490\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-30.png 500w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-30-300x300.png 300w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-30-150x150.png 150w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-30-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Write a ratio: word problems Key Notes : Definition of a Ratio Ways to Write a Ratio Understanding the Order in Ratios Solving Word Problems with Ratios Equivalent Ratios Common Ratio Word Problems Simplifying Ratios Using Ratios in Proportions Learn with an example 2 students are going on a field trip and 45 students are<a class=\"more-link\" href=\"https:\/\/6thclass.deltapublications.in\/index.php\/m-2-write-a-ratio-word-problems\/\">Continue reading <span class=\"screen-reader-text\">&#8220;M.2 Write a ratio: 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,"_mi_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-203","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/203","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=203"}],"version-history":[{"count":13,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/203\/revisions"}],"predecessor-version":[{"id":15474,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/203\/revisions\/15474"}],"wp:attachment":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=203"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}