{"id":36624,"date":"2017-12-27T20:02:45","date_gmt":"2017-12-27T20:02:45","guid":{"rendered":"https:\/\/www.mometrix.com\/academy\/?page_id=36624"},"modified":"2026-03-26T09:38:37","modified_gmt":"2026-03-26T14:38:37","slug":"word-problems-with-ratios","status":"publish","type":"page","link":"https:\/\/www.mometrix.com\/academy\/word-problems-with-ratios\/","title":{"rendered":"Solving Word Problems with Ratios"},"content":{"rendered":"\n\t\t\t<div id=\"mmDeferVideoEncompass_UCvK1j6n00Q\" style=\"position: relative;\">\n\t\t\t<picture>\n\t\t\t\t<source srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/01\/circle-play-duotone.webp\" type=\"image\/webp\">\n\t\t\t\t<source srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/01\/circle-play-duotone.png\" type=\"image\/jpeg\"> \n\t\t\t\t<img fetchpriority=\"high\" decoding=\"async\" loading=\"eager\" id=\"videoThumbnailImage_UCvK1j6n00Q\" data-source-videoID=\"UCvK1j6n00Q\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/01\/circle-play-duotone.png\" alt=\"Solving Word Problems with Ratios Video\" height=\"464\" width=\"825\" class=\"size-full\" data-matomo-title = \"Solving Word Problems with Ratios\">\n\t\t\t<\/picture>\n\t\t\t<\/div>\n\t\t\t<style>img#videoThumbnailImage_UCvK1j6n00Q:hover {cursor:pointer;} img#videoThumbnailImage_UCvK1j6n00Q {background-size:contain;background-image:url(\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/01\/117-ratios-word-problems-1-1.webp\");}<\/style>\n\t\t\t<script defer>\n\t\t\t  jQuery(\"img#videoThumbnailImage_UCvK1j6n00Q\").click(function() {\n\t\t\t\tlet videoId = jQuery(this).attr(\"data-source-videoID\");\n\t\t\t\tlet helpTag = '<div id=\"mmDeferVideoYTMessage_UCvK1j6n00Q\" style=\"display: none;position: absolute;top: -24px;width: 100%;text-align: center;\"><span style=\"font-style: italic;font-size: small;border-top: 1px solid #fc0;\">Having trouble? <a href=\"https:\/\/www.youtube.com\/watch?v='+videoId+'\" target=\"_blank\">Click here to watch on YouTube.<\/a><\/span><\/div>';\n\t\t\t\tlet tag = document.createElement(\"iframe\");\n\t\t\t\ttag.id = \"yt\" + videoId;\n\t\t\t\ttag.src = \"https:\/\/www.youtube-nocookie.com\/embed\/\" + videoId + \"?autoplay=1&controls=1&wmode=opaque&rel=0&egm=0&iv_load_policy=3&hd=0&enablejsapi=1\";\n\t\t\t\ttag.frameborder = 0;\n\t\t\t\ttag.allow = \"autoplay; fullscreen\";\n\t\t\t\ttag.width = this.width;\n\t\t\t\ttag.height = this.height;\n\t\t\t\ttag.setAttribute(\"data-matomo-title\",\"Solving Word Problems with Ratios\");\n\t\t\t\tjQuery(\"div#mmDeferVideoEncompass_UCvK1j6n00Q\").html(tag);\n\t\t\t\tjQuery(\"div#mmDeferVideoEncompass_UCvK1j6n00Q\").prepend(helpTag);\n\t\t\t\tsetTimeout(function(){jQuery(\"div#mmDeferVideoYTMessage_UCvK1j6n00Q\").css(\"display\", \"block\");}, 2000);\n\t\t\t  });\n\t\t\t  \n\t\t\t<\/script>\n\t\t\n<p><script>\nfunction MEi_Function() {\n  var x = document.getElementById(\"MEi\");\n  if (x.style.display === \"none\") {\n    x.style.display = \"block\";\n  } else {\n    x.style.display = \"none\";\n  }\n}\n<\/script><\/p>\n<div class=\"moc-toc hide-on-desktop hide-on-tablet\">\n<div><button onclick=\"MEi_Function()\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/12\/toc2.svg\" width=\"16\" height=\"16\" alt=\"show or hide table of contents\"><\/button><\/p>\n<p>On this page<\/p>\n<\/div>\n<nav id=\"MEi\" style=\"display:none;\">\n<ul>\n<li class=\"toc-h2\"><a href=\"#What_is_a_Ratio\" class=\"smooth-scroll\">What is a Ratio?<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Word_Problems\" class=\"smooth-scroll\">Word Problems<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Frequently_Asked_Questions\" class=\"smooth-scroll\">Frequently Asked Questions<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Ratio_Word_Problems\" class=\"smooth-scroll\">Ratio Word Problems<\/a><\/li>\n<\/ul>\n<\/nav>\n<\/div>\n<div class=\"accordion\"><input id=\"transcript\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"transcript\">Transcript<\/label><input id=\"FAQs\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"FAQs\">FAQs<\/label><input id=\"PQs\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQs\">Practice<\/label>\n<div class=\"spoiler\" id=\"transcript-spoiler\">\n<p>Hey guys! Welcome to this video tutorial on <a class=\"ylist\" href=\"https:\/\/www.mometrix.com\/academy\/translating-word-problems\/\">word problems<\/a> involving <a class=\"ylist\" href=\"https:\/\/www.mometrix.com\/academy\/ratios\/\">ratios<\/a>.<\/p>\n<h2><span id=\"What_is_a_Ratio\" class=\"m-toc-anchor\"><\/span>What is a Ratio?<\/h2>\n<p>\nRatios are what we use to compare certain number values. People everywhere use ratios. We use, or at least we should, use ratios when we cook.<\/p>\n<p>For example, if I were to make macaroni and cheese for a group of 6 people and I knew that a \\(\\frac{1}{2}\\) cup of macaroni would feed one person, then I could multiply 6 times \\(\\frac{1}{2}\\) to get 3. Well, 3 to 6 is my ratio, and this ratio tells me that for every 3 cups of macaroni that I have, I can serve 6 people. <\/p>\n<p>But hang on. What if I told you that 1 cup of macaroni to every 2 persons is the same ratio as 3:6? Well, it&#8217;s the same ratio. 3:6 can be reduced to 1:2 because both 3 and 6 are divisible by 3, which is how we get \\(\\frac{1}{2}\\). So, even though these two ratios look different, they are actually the same.<\/p>\n<h2><span id=\"Word_Problems\" class=\"m-toc-anchor\"><\/span>Word Problems<\/h2>\n<p>\nLet\u2019s take a look at a few word problems, and practice working through them.<\/p>\n<h3><span id=\"Example_1\" class=\"m-toc-anchor\"><\/span>Example #1<\/h3>\n<div class=\"transcriptcallout\" style=\"text-align: left;\">There are 7 kids in a classroom with green shirts, 8 with red shirts, and 10 with yellow shirts. What is the ratio of people with red and yellow shirts?<\/p>\n<ol style=\"list-style: upper-alpha; margin-bottom: 0em;\">\n<li>7:10<\/li>\n<li>8:7<\/li>\n<li>8:10<\/li>\n<li>4:5<\/li>\n<\/ol>\n<\/div>\n<p>\n&nbsp;<br \/>\nAll right, so let\u2019s look at our problem, and see what it is asking us to find, and write out the information that we have been given.<\/p>\n<p>So, there are 7 kids with green shirts; so, let\u2019s write that down. We have Green: 7. We have 8 kids with red shirts, so that is Red: 8, and we have 10 kids with yellow shirts, Yellow: 10.<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/07\/green-yellow-red-people-shadowed.png\" alt=\"\" width=\"612.8\" height=\"206.4\" class=\"aligncenter size-full wp-image-87292\" srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/07\/green-yellow-red-people-shadowed.png 766w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/07\/green-yellow-red-people-shadowed-300x101.png 300w\" sizes=\"(max-width: 766px) 100vw, 766px\" \/><\/p>\n<p>Now, the question is asking us to find the ratio of kids with red and yellow shirts. This means that we don\u2019t even need to look at our number of green shirts. We&#8217;re just looking for the ratio of red shirts to yellow shirts. Well, we have 8 red shirts, and 10 yellow shirts, which gives us a ratio of 8:10. <\/p>\n<p>So now let\u2019s look at each of our options and eliminate. It can\u2019t be 7:10, we don\u2019t care about the green shirts. It can\u2019t be 8:7, because again we don\u2019t care about the green shirts. Option C is correct; that is the exact number ratio we found. Now, look closely at D here. Is 4:5 not the same thing as 8:10? 8 and 10 are both divisible by 2, and when we reduce them both down we get 4:5, so D is also correct!<\/p>\n<p>Great, now let\u2019s look at another word problem.<\/p>\n<h3><span id=\"Example_2\" class=\"m-toc-anchor\"><\/span>Example #2<\/h3>\n<div class=\"transcriptcallout\" style=\"text-align: left;\">A vegetable tray contains 12 baby carrots, 27 cherry tomatoes, 18 florets of broccoli, and 45 slices of red bell peppers. For every 2 baby carrots, there are 3_____.<\/div>\n<p>\n&nbsp;<br \/>\nAll right, let\u2019s start off the same way that we did our last problem; read through the problem, write down what we know, and find out what is being asked.<\/p>\n<p>So, this vegetable tray contains 12 baby carrots. It contains 27 cherry tomatoes. We have 18 broccoli florets and 45 slices of red bell peppers. <\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/07\/veggies-with-shadow.png\" alt=\"\" width=\"457.8\" height=\"204\" class=\"aligncenter size-full wp-image-87298\" srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/07\/veggies-with-shadow.png 763w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/07\/veggies-with-shadow-300x134.png 300w\" sizes=\"(max-width: 763px) 100vw, 763px\" \/><\/p>\n<p>Great, we have all of our information given in the problem, but what are we looking for? It says that for every 2 baby carrots there are 3 somethings. So, we need to find what those somethings are. How do we do that? Well, look at our original number of baby carrots in the problem, it\u2019s 12, but in this ratio, it\u2019s been reduced down to 2. What happened to make this number 2? It was divided by 6. So, since we are dealing with a ratio we know that whatever one number in the ratio was reduced by, the other number has to be reduced in the same way. So, we can multiply 6 times our 3, and 6 times 3 is 18. <\/p>\n<p>When we look at all of our information written down, we can see that we have 18 broccoli florets; so there is our answer. For every 2 baby carrots, there are 3 broccoli florets.<\/p>\n<p>Another way to check and verify that these two ratios are equal is by setting them up in fraction form and cross multiplying.<\/p>\n<div class=\"examplesentence\" style=\"font-size: 120%;\">\\(\\frac{2}{3}=\\frac{12}{18}\\)<\/div>\n<p>\n&nbsp;<br \/>\nWhen we cross multiply, we get \\(36=36\\).<\/p>\n<p>You can practice finding ratios anywhere you go, like finding the ratio of boys to girls in your class.<\/p>\n<p>I hope that this video helped you to understand how to solve word problems with ratios.<\/p>\n<p>See you guys next time!<\/p>\n<\/div>\n<div class=\"spoiler\" id=\"FAQs-spoiler\">\n<h2 style=\"text-align:center\">Frequently Asked Questions<\/h2>\n<div class=\"faq-list\">\n<div class=\"qa_wrap\">\n<div class=\"q_item text_bold\">\n<h4 class=\"letter\">Q<\/h4>\n<p style=\"line-height: unset;\">How do you figure out ratios?<\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>A ratio is simply a comparison between two amounts. When figuring out ratios, it is important to consider what two values are being compared. This can be expressed in fraction form, in word form, or simply by using a colon.<\/p>\n<p>When writing a ratio that is comparing a \u201cpart\u201d to the \u201cwhole,\u201d list the \u201cpart\u201d first, and the \u201cwhole\u201d second. For example, if you eat 3 slices of pizza out of 10 slices total, you have eaten 3 out of 10 slices. This can be expressed as \\(\\frac{3}{10}\\) or 3:10, where the part is listed first and the whole is listed second.<\/p>\n<p>Ratios can also be \u201cpart\u201d to \u201cpart\u201d comparisons. For example, if there are 7 boys in a class, and 9 girls in a class, the ratio of boys to girls is 7:9. Make sure to match the order of the ratio to the order presented in the scenario. <\/p>\n<\/p><\/div>\n<\/p><\/div>\n<div class=\"qa_wrap\">\n<div class=\"q_item text_bold\">\n<h4 class=\"letter\">Q<\/h4>\n<p style=\"line-height: unset;\">What are basic ratios?<\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>Ratios are used to directly compare two amounts. Basic ratios are used in many real-world situations, which makes it a valuable skill to master. Basic ratios can be expressed as fractions, words, or by using a colon. For example, \\(\\frac{4}{5}\\), \u201cfour to five,\u201d and 4:5 all represent the same ratio. <\/p>\n<\/p><\/div>\n<\/p><\/div>\n<div class=\"qa_wrap\">\n<div class=\"q_item text_bold\">\n<h4 class=\"letter\">Q<\/h4>\n<p style=\"line-height: unset;\">What are the 3 ways to write a ratio? <\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>A ratio is the comparison between two quantities. There is more than one way to write a ratio. For example, ratios can be written using a fraction bar, using a colon, or using words.<\/p>\n<ul>\n<li>\\(\\frac{5}{8}\\)<\/li>\n<li>5:8<\/li>\n<li>five to eight<\/li>\n<\/ul>\n<\/p><\/div>\n<\/p><\/div>\n<div class=\"qa_wrap\">\n<div class=\"q_item text_bold\">\n<h4 class=\"letter\">Q<\/h4>\n<p style=\"line-height: unset;\">What are equivalent ratios?<\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>Ratios that have the same value are considered <strong style=\"font-weight: 600\">equivalent ratios<\/strong>. For example, if you slice a cake into 10 pieces, and you eat 2 pieces, you have eaten \u201c2 out of 10\u201d pieces, or 2:10. If you had sliced the cake into 20 pieces, and eaten 4 pieces, you would have eaten the same amount of cake. Eating \u201c4 out of 20\u201d pieces is the same amount as eating \u201c2 out of 10\u201d pieces.<\/p>\n<p>Equivalent ratios occur when you multiply or divide both quantities of the ratio by the same amount. \\(\\frac{50}{100}\\) is equivalent to \\(\\frac{5}{10}\\) because when you divide both quantities of the ratio by 10, the result is \\(\\frac{5}{10}\\). <\/p>\n<\/p><\/div>\n<\/p><\/div>\n<div class=\"qa_wrap\">\n<div class=\"q_item text_bold\">\n<h4 class=\"letter\">Q<\/h4>\n<p style=\"line-height: unset;\">How do you find an equivalent ratio?<\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>Equivalent ratios can be thought of as equivalent fractions. Two ratios are equivalent if they represent the same amount. For example, \\(\\frac{1}{2}\\) and \\(\\frac{5}{10}\\) are equivalent because they represent the same amount.<\/p>\n<p>Equivalent ratios are found by multiplying or dividing the numerator and denominator by the same amount. For example, 3:4 and 15:20 are equivalent ratios because both values in 3:4 can be multiplied by 5 in order to create the ratio 15:20.<\/p>\n<\/p><\/div>\n<\/p><\/div>\n<div class=\"qa_wrap\">\n<div class=\"q_item text_bold\">\n<h4 class=\"letter\">Q<\/h4>\n<p style=\"line-height: unset;\">How do you solve ratio word problems?<\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>Ratios have many real-world applications. Word problems that involve ratios will usually require you to find an unknown value by finding an equivalent ratio.<\/p>\n<div class=\"lightbulb-example-2\"><span class=\"lightbulb-icon\">\ud83d\udca1<\/span><span class=\"faq-example-question\">Example: If you made $170 washing 10 cars, how much money did you make per car?<\/span><\/p>\n<hr style=\"padding: 0; margin-top: -0.2em; margin-bottom: 1.2em\">The ratio of dollars earned compared to cars washed is \\(\\frac{170}{10}\\). We can divide both of these values by 10 in order to solve for the dollars earned for washing one car. <\/p>\n<p style=\"text-align: center\">\\(\\dfrac{170\\div10}{10\\div10}=\\dfrac{17}{1}\\)<\/p>\n<p style=\"margin-bottom: 0em\">This means that $17 was earned per car.<\/p>\n<\/div>\n<p>Many word problems involving ratios require you to create equivalent ratios. Remember, as long as you multiply or divide both values of a ratio by the same amount, you have not changed the ratio. <\/p>\n<\/p><\/div>\n<\/p><\/div>\n<div class=\"qa_wrap\">\n<div class=\"q_item text_bold\">\n<h4 class=\"letter\">Q<\/h4>\n<p style=\"line-height: unset;\">How do you write a ratio in words? <\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>Ratios are used to compare two quantities. There are generally two ways to write a ratio in word form.<\/p>\n<p>When a ratio is considered a \u201cpart-out-of-whole\u201d ratio, the phrase \u201cout of\u201d can be used. For example, if there is a pizza with eight slices, and you eat two of those slices, you have eaten &#8220;two out of eight\u201d slices.<\/p>\n<p>However, some ratios are considered \u201cpart-to-part\u201d ratios. For example, when comparing three green marbles to eight red marbles, the phrase \u201cthree to eight\u201d can be used.<\/p>\n<\/p><\/div>\n<\/p><\/div>\n<div class=\"qa_wrap\">\n<div class=\"q_item text_bold\">\n<h4 class=\"letter\">Q<\/h4>\n<p style=\"line-height: unset;\">How do you explain ratios and proportions? <\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p><strong style=\"font-weight: 600\">Ratios<\/strong> describe the relationship between two amounts. Ratios can be described as part-to-part or part-to-whole. For example, in a new litter of puppies, four of the pups are female and three of the pups are male. The part-to-part ratio 4:3 would be used to compare female to male pups. When comparing female pups to the whole liter, the part-to-whole ratio 4:7 would be used. Similarly, the ratio of male pups to total pups would be 3:7.<\/p>\n<p>If two ratios are equivalent, they are said to be proportional. For example, if 50 meters of rope weighs 5 kilograms, and 150 meters of rope weighs 15 kilograms, the two amounts are proportional. 50:5 is equivalent to 150:15 because both values of the first ratio are multiplied by 3 in order to create the second ratio.<\/p>\n<\/p><\/div>\n<\/p><\/div>\n<\/div>\n<\/div>\n<div class=\"spoiler\" id=\"PQs-spoiler\">\n<h2 style=\"text-align:center\"><span id=\"Ratio_Word_Problems\" class=\"m-toc-anchor\"><\/span>Ratio Word Problems<\/h2>\n\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #1:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nCross multiply in order to determine which pair of ratios are equivalent. <\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-1-1\">3:5 and 4:9 <\/div><div class=\"PQ\"  id=\"PQ-1-2\">6:7 and 7:8 <\/div><div class=\"PQ correct_answer\"  id=\"PQ-1-3\">7:8 and 35:40 <\/div><div class=\"PQ\"  id=\"PQ-1-4\">12:25 and 14:17 <\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-1\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-1\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-1-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>The correct answer is 7:8 and 35:40.<br \/>\nWe can use cross multiplication to determine if two ratios are equivalent. Let\u2019s look at the ratios for Choice C, and let\u2019s set these up as fractions:<\/p>\n<p>\\(\\frac{7}{8}\\) and \\(\\frac{35}{40}\\)<\/p>\n<p>Now, cross multiply by finding the product of \\(8\u00d735\\) and \\(7\u00d740\\). In both cases our product is 280, so we know that the original ratios are equivalent. <\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-1-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-1-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #2:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nWhich ratio is equivalent to \\(\\frac{36}{45}\\)? <\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-2-1\">5:6<\/div><div class=\"PQ correct_answer\"  id=\"PQ-2-2\">4:5<\/div><div class=\"PQ\"  id=\"PQ-2-3\">\\(\\frac{8}{9}\\)<\/div><div class=\"PQ\"  id=\"PQ-2-4\">\\(\\frac{5}{7}\\)<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-2\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-2\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-2-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>The correct answer is 4:5.<br \/>\nWe can simplify ratios with the same strategy that we use to simplify fractions. In the ratio \\(\\frac{36}{45}\\) we can divide the numerator and denominator by 9. \\(\\frac{36}{45}\\) now becomes \\(\\frac{4}{5}\\) or 4:5.<\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-2-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-2-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #3:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nJames has a bag full of red, blue, and yellow candy. There are 10 red candies, 9 blue candies, and 11 yellow candies. What is the ratio of blue candies to total candies in the bag? Simplify the ratio if possible. <\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ correct_answer\"  id=\"PQ-3-1\">3:10<\/div><div class=\"PQ\"  id=\"PQ-3-2\">9:35<\/div><div class=\"PQ\"  id=\"PQ-3-3\">4:11<\/div><div class=\"PQ\"  id=\"PQ-3-4\">10:30<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-3\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-3\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-3-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>The correct answer is 3:10.<br \/>\nThe total number of blue candies is 9, and the total number of candies in the bag is 30. If we set this ratio up as a fraction, we have \\(\\frac{9}{30}\\). This fraction can be simplified if we divide the numerator and denominator by 3. Our final answer is \\(\\frac{3}{10}\\) or 3:10. <\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-3-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-3-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #4:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nAlex is counting the coins in his pocket, and finds that he has 14 quarters, 7 nickels, and 4 dimes. What is the ratio of quarters to nickels? Simplify if possible. <\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-4-1\">4:7<\/div><div class=\"PQ\"  id=\"PQ-4-2\">14:7<\/div><div class=\"PQ\"  id=\"PQ-4-3\">1:3<\/div><div class=\"PQ correct_answer\"  id=\"PQ-4-4\">2:1<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-4\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-4\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-4-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>The correct answer is 2:1.<br \/>\nWe can compare the number of quarters to the number of nickels by setting up a ratio. There are 14 quarters and 7 nickels, so our ratio would be 14:7. Choice B says 14:7, but we should simplify when possible. 14:7 simplifies to 2:1.<\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-4-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-4-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #5:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nIn Mr. Jenkin\u2019s 4th grade class there are 14 boys and 17 girls. What is the ratio of boys to girls? Simplify if possible. <\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-5-1\">17:12<\/div><div class=\"PQ\"  id=\"PQ-5-2\">14:7<\/div><div class=\"PQ correct_answer\"  id=\"PQ-5-3\">14:17<\/div><div class=\"PQ\"  id=\"PQ-5-4\">7:11<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-5\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-5\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-5-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>The correct answer is 14:17.<br \/>\nWe can express this comparison of boys to girls as a ratio. 14 boys and 17 girls can be described as the ratio 14:17, or the fraction \\(\\frac{14}{17}\\). 14 and 17 do not have any factors in common, so 14:17 is in simplest form.<\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-5-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-5-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div><\/div>\n<\/div>\n\n<div class=\"home-buttons\">\n<p><a href=\"https:\/\/www.mometrix.com\/academy\/basic-arithmetic\/\">Return to Basic Arithmetic Videos<\/a><\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Return to Basic Arithmetic Videos<\/p>\n","protected":false},"author":1,"featured_media":91141,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":{"0":"post-36624","1":"page","2":"type-page","3":"status-publish","4":"has-post-thumbnail","6":"page_category-math-advertising-group","7":"page_category-video-pages-for-study-course-sidebar-ad","8":"page_category-word-problems","9":"page_type-video","10":"content_type-practice-questions","11":"subject_matter-math"},"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/36624","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/comments?post=36624"}],"version-history":[{"count":6,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/36624\/revisions"}],"predecessor-version":[{"id":279664,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/36624\/revisions\/279664"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/media\/91141"}],"wp:attachment":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/media?parent=36624"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}