{"id":4534,"date":"2013-06-29T06:40:15","date_gmt":"2013-06-29T06:40:15","guid":{"rendered":"http:\/\/www.mometrix.com\/academy\/?page_id=4534"},"modified":"2026-03-25T11:03:32","modified_gmt":"2026-03-25T16:03:32","slug":"ratios","status":"publish","type":"page","link":"https:\/\/www.mometrix.com\/academy\/ratios\/","title":{"rendered":"Ratios"},"content":{"rendered":"\n\t\t\t<div id=\"mmDeferVideoEncompass_mwafdtfNEks\" 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_mwafdtfNEks\" data-source-videoID=\"mwafdtfNEks\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/01\/circle-play-duotone.png\" alt=\"Ratios Video\" height=\"1080\" width=\"1920\" class=\"size-full\" data-matomo-title = \"Ratios\">\n\t\t\t<\/picture>\n\t\t\t<\/div>\n\t\t\t<style>img#videoThumbnailImage_mwafdtfNEks:hover {cursor:pointer;} img#videoThumbnailImage_mwafdtfNEks {background-size:contain;background-image:url(\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/01\/Ratios-thumb.webp\");}<\/style>\n\t\t\t<script defer>\n\t\t\t  jQuery(\"img#videoThumbnailImage_mwafdtfNEks\").click(function() {\n\t\t\t\tlet videoId = jQuery(this).attr(\"data-source-videoID\");\n\t\t\t\tlet helpTag = '<div id=\"mmDeferVideoYTMessage_mwafdtfNEks\" 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\",\"Ratios\");\n\t\t\t\tjQuery(\"div#mmDeferVideoEncompass_mwafdtfNEks\").html(tag);\n\t\t\t\tjQuery(\"div#mmDeferVideoEncompass_mwafdtfNEks\").prepend(helpTag);\n\t\t\t\tsetTimeout(function(){jQuery(\"div#mmDeferVideoYTMessage_mwafdtfNEks\").css(\"display\", \"block\");}, 2000);\n\t\t\t  });\n\t\t\t  \n\t\t\t<\/script>\n\t\t\n<p><script>\nfunction sIr_Function() {\n  var x = document.getElementById(\"sIr\");\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=\"sIr_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=\"sIr\" 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=\"#Writing_Ratios\" class=\"smooth-scroll\">Writing Ratios<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Examples_of_Using_Ratios\" class=\"smooth-scroll\">Examples of Using Ratios<\/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=\"#What_is_a_Ratio_(PDF)\" class=\"smooth-scroll\">What is a Ratio? (PDF)<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Ratio_Practice_Questions\" class=\"smooth-scroll\">Ratio Practice Questions<\/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=\"factsheet\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"factsheet\">Fact Sheet<\/label><input id=\"PQs\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQs\">Practice<\/label>\n<div class=\"spoiler\" id=\"transcript-spoiler\">\n<p>Hi, and welcome to this video on ratios! Ratios are used all the time in many aspects of our lives. In this video, we will review what ratios represent and how they should be interpreted.<\/p>\n<p><H2>What is a Ratio?<\/h2>\n<p>\nAs mentioned, ratios are frequently used, but sometimes not fully understood. Simply put, ratios are an efficient way to compare numeric values of different categories. For example, let\u2019s say that you have a room of twenty people comprised of 12 women and 8 men. The two categories are men and women, so your ratios would look like this: the ratio of women to men is 12 to 8, and the ratio of men to women is 8 to 12:<\/p>\n<table class=\"ATable\" style=\"margin: auto;\">\n<thead>\n<tr>\n<th><strong>Ratio<\/strong><\/th>\n<th><strong>Numeric Representation<\/strong><\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>W:M<\/td>\n<td>12:8<\/td>\n<\/tr>\n<tr>\n<td>M:W<\/td>\n<td>8:12<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\n&nbsp;<br \/>\nNote that ratios can be <strong>simplified<\/strong> by dividing both values by the common factor of 4, which will not change the meaning of the ratio. The simplified ratio still represents the relationship of the number of women to men, 3:2, and the number of men to women, 2:3. <\/p>\n<h2><span id=\"Writing_Ratios\" class=\"m-toc-anchor\"><\/span>Writing Ratios<\/h2>\n<p>\nThere are two ways that ratios can be written. This example uses a colon, but you could also use a division bar to form a fraction:<\/p>\n<table class=\"ATable\" style=\"margin: auto;\">\n<thead>\n<tr>\n<th><strong>Ratio<\/strong><\/th>\n<th><strong>Fraction Representation<\/strong><\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td style=\"height:40px\">W:M<\/td>\n<td>\\(\\frac{12}{8}\\), simplifies to \\(\\frac{3}{2}\\)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\n&nbsp;<br \/>\nIt is very important to note that the order of the categories matters when building a ratio. The first value is technically referred to as the <strong>antecedent<\/strong> and the second value is referred to as the <strong>consequent<\/strong>. The antecedent is always compared to the consequent. Interpreting the ratio in context can sometimes be tricky, but becomes easier with practice.<\/p>\n<h2><span id=\"Examples_of_Using_Ratios\" class=\"m-toc-anchor\"><\/span>Examples of Using Ratios<\/h2>\n<p>\nLet\u2019s look at some examples of ratios you might come across in day-to-day life:<\/p>\n<h3><span id=\"Cooking\" class=\"m-toc-anchor\"><\/span>Cooking<\/h3>\n<p>\nYou are making a batch of your mom\u2019s delicious salad dressing. The recipe calls for many ingredients, including 2 <strong>cups<\/strong> of extra virgin olive oil and 3 <strong>cloves<\/strong> of chopped garlic. In this case, the ratio of oil to cloves is 2:3, or <span style=\"font-size:120%\">\\(\\frac{2}{3}\\)<\/span>, and the ratio of garlic to oil is 3:2, or <span style=\"font-size:120%\">\\(\\frac{3}{2}\\)<\/span>. In cooking, you might hear this referred to as \u201ctwo parts oil, three parts garlic.\u201d This is because the \u201cunits\u201d here are different (cloves vs. cups).<\/p>\n<h3><span id=\"Shopping\" class=\"m-toc-anchor\"><\/span>Shopping<\/h3>\n<p>\nGrocery store displays allow us to compare the value of products based on their \u201cunit cost.\u201d Many times, this is simply a quick ratio of \u201ccost to unit,\u201d with the unit being ounce, pound, etc.<\/p>\n<h4><span id=\"Example_1\" class=\"m-toc-anchor\"><\/span>Example 1<\/h4>\n<p>\nSuppose you are scanning the cereal aisle and narrow your choice down to your two favorites. You decide to be practical and base your decision purely on cost. Both have similar prices, but the volume of the packaging is different. Calculating a quick ratio of cost to unit for each box will reveal the better value: brand A costs $5.79 and has a volume of 20.35 ounces.  Dividing the price by the volume gives us the cost of the cereal per ounce, $0.28. Brand B costs $6.39 and has a volume of 24.15 ounces. Dividing the price by the volume gives us $0.26 per ounce.<\/p>\n<table class=\"ATable\" style=\"width: 70%; margin: auto;\">\n<thead>\n<tr>\n<th><strong>Brand<\/strong><\/th>\n<th style=\"border-right:0px\"><strong>Cost<\/strong><\/th>\n<th style=\"border-left:0px; width:1%\"><\/th>\n<th style=\"border-right:0px; width:1%\"><\/th>\n<th style=\"border-left:0px; width:40%\"><strong>Unit Price (Ratio)<\/strong><\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>Choice A<\/td>\n<td style=\"border-right:0px; height:50px\"><span style=\"font-size:120%\">\\(\\frac{$5.79}{20.35 \\text{ oz.}}\\)<\/span><\/td>\n<td style=\"border-left:0px; border-right:0px\" colspan=\"2\">\\(=\\)<\/td>\n<td style=\"border-left:0px\">$0.28 per oz.<\/td>\n<\/tr>\n<tr>\n<td>Choice B<\/td>\n<td style=\"border-right:0px; height:50px\"><span style=\"font-size:120%\">\\(\\frac{$6.39}{24.15 \\text{ oz.}}\\)<\/span><\/td>\n<td style=\"border-left:0px; border-right:0px\" colspan=\"2\">\\(=\\)<\/td>\n<td style=\"border-left:0px\">$0.12 per oz.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\n&nbsp;<br \/>\nDespite being a higher cost per package, Choice B is a better value by unit price.<\/p>\n<p>This example was fairly straightforward because the volume of the cereal packages was measured in ounces. <\/p>\n<h4><span id=\"Example_2\" class=\"m-toc-anchor\"><\/span>Example 2<\/h4>\n<p>\nMany times a unit conversion must be made before a unit price can be determined. For example, if we are trying to compare the unit cost of a pound of fresh broccoli to a package of frozen broccoli measured in ounces, we would need to know that 1 pound is equal to 16 ounces before we could calculate the unit cost ratio.<\/p>\n<table class=\"ATable\" style=\"width: 70%; margin: auto;\">\n<thead>\n<tr>\n<th><strong>Type<\/strong><\/th>\n<th style=\"border-right:0px\"><strong>Cost<\/strong><\/th>\n<th style=\"border-left:0px; width:1%\"><\/th>\n<th style=\"border-right:0px; width:1%\"><\/th>\n<th style=\"border-left:0px; width:40%\"><strong>Unit Price (Ratio)<\/strong><\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>Fresh<\/td>\n<td style=\"border-right:0px; height:50px\"><span style=\"font-size:120%\">\\(\\frac{$2.37}{16 \\text{ oz. (1 lb)}}\\)<\/span><\/td>\n<td style=\"border-left:0px; border-right:0px\" colspan=\"2\">\\(=\\)<\/td>\n<td style=\"border-left:0px\">$0.15 per oz.<\/td>\n<\/tr>\n<tr>\n<td>Frozen<\/td>\n<td style=\"border-right:0px; height:50px\"><span style=\"font-size:120%\">\\(\\frac{$1.47}{12 \\text{ oz.}}\\)<\/span><\/td>\n<td style=\"border-left:0px; border-right:0px\" colspan=\"2\">\\(=\\)<\/td>\n<td style=\"border-left:0px\">$0.12 per oz.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\n&nbsp;<br \/>\nIn this case, the frozen broccoli would be the better value based on the smaller unit price per ounce.<\/p>\n<p>So, as you can see, ratios are common in our everyday lives, and you\u2019ve probably been using them whether you have realized it or not!<\/p>\n<p>Thanks for watching, and happy studying!<\/p>\n<\/div>\n<div class=\"spoiler\" id=\"FAQs-spoiler\">\n<h2 style=\"text-align:center\"><span id=\"Frequently_Asked_Questions\" class=\"m-toc-anchor\"><\/span>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;\">What is a ratio?<\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>A ratio is a comparison of two quantities in a particular order.<\/p>\n<p>For example, if a preschool has three adults in a classroom with 25 kids, the ratio of adults to kids in the classroom is 3:25, or \\(\\frac{3}{25}\\).<\/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 calculate a ratio?<\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>Calculate a ratio by comparing two quantities to another in a particular order.<\/p>\n<p>Let&#8217;s say there are 140 students in a cafeteria and seven teachers. The ratio of students to teachers would be 140:7, which simplifies to 20:1.<\/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 equivalent ratios?<\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>Equivalent ratios are two different ratios that equal one another. For example, the ratios 2:4 and 1:2 are equivalent.<\/p>\n<\/p><\/div>\n<\/p><\/div>\n<\/div>\n<\/div>\n<div class=\"spoiler\" id=\"factsheet-spoiler\">\n<h2 style=\"text-align:center\"><span id=\"What_is_a_Ratio_(PDF)\" class=\"m-toc-anchor\"><\/span>What is a Ratio? (PDF)<\/h2>\n<div>\n\t\t\t\t\t<img width=\"1362\" height=\"1766\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/01\/image_2022-01-21_103449.png\" class=\"attachment-full size-full\" alt=\"A yellow and white infographic about ratios describing their meaning, how to express, and simplify them, with examples like 3:2 and 10:5. Contains a QR code at the bottom right for more information.\" decoding=\"async\" loading=\"lazy\" srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/01\/image_2022-01-21_103449.png 1362w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/01\/image_2022-01-21_103449-231x300.png 231w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/01\/image_2022-01-21_103449-790x1024.png 790w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/01\/image_2022-01-21_103449-768x996.png 768w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/01\/image_2022-01-21_103449-1185x1536.png 1185w\" sizes=\"auto, (max-width: 1362px) 100vw, 1362px\" \/><\/p>\n<div class=\"sub_categories\">\n\t\t\t\t\t\t<a href=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/01\/Ratios-Fact-Sheet.pdf\"><span id=\"Your_What_is_a_Ratio_PDF_Download\" class=\"m-toc-anchor\"><\/span>Your What is a Ratio PDF Download<\/a>\n\t\t\t\t\t<\/div>\n<\/p>\n<\/div>\n<\/div>\n<div class=\"spoiler\" id=\"PQs-spoiler\">\n<h2 style=\"text-align:center\"><span id=\"Ratio_Practice_Questions\" class=\"m-toc-anchor\"><\/span>Ratio Practice Questions<\/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 \/>\nWhich of the following is not a proper way to write a ratio?<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-1-1\">\\(\\dfrac{3}{2}\\)<\/div><div class=\"PQ correct_answer\"  id=\"PQ-1-2\">3 over 2<\/div><div class=\"PQ\"  id=\"PQ-1-3\">3:2<\/div><div class=\"PQ\"  id=\"PQ-1-4\">3 to 2<\/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 3 over 2. A ratio compares one thing to another and can be written three different ways: 3 to 2, 3:2, or \\(\\frac{3}{2}\\).<\/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 \/>\nThere are 8 men in an office building and 2 women. What is the ratio of men to women in the building?<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ correct_answer\"  id=\"PQ-2-1\">4:1<\/div><div class=\"PQ\"  id=\"PQ-2-2\">3:2<\/div><div class=\"PQ\"  id=\"PQ-2-3\">2:3<\/div><div class=\"PQ\"  id=\"PQ-2-4\">1:4<\/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 4:1. The ratio of men to women is 8 : 2, which can be simplified to 4:1 by dividing both parts by 2.<\/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 \/>\nA school has 420 students and 40 teachers. What is the ratio of teachers to students?<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-3-1\">\\(\\dfrac{10}{42}\\)<\/div><div class=\"PQ\"  id=\"PQ-3-2\">\\(\\dfrac{21}{2}\\)<\/div><div class=\"PQ\"  id=\"PQ-3-3\">\\(\\dfrac{42}{10}\\)<\/div><div class=\"PQ correct_answer\"  id=\"PQ-3-4\">\\(\\dfrac{2}{21}\\)<\/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 \\(\\frac{2}{21}\\). The ratio of teachers to students is \\(\\frac{4}{420}\\), which can be simplified to \\(\\frac{2}{21}\\) by dividing both numbers by 20.<\/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 \/>\nA cell phone company has two different texting plans. Plan A offers texting at $0.25 per 5 text messages and Plan B offers texting at $0.18 per 3 text messages. Which plan has the cheaper texting option?<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ correct_answer\"  id=\"PQ-4-1\">Plan A<\/div><div class=\"PQ\"  id=\"PQ-4-2\">Plan B<\/div><div class=\"PQ\"  id=\"PQ-4-3\">They are the same price<\/div><div class=\"PQ\"  id=\"PQ-4-4\">Cannot be determined from given information<\/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 Plan A. This problem can be solved by using ratios to find the unit price of one text message for each plan.<\/p>\n<p>First, set up a ratio for Plan A.<\/p>\n<p style=\"text-align: center\">\\(\\dfrac{$0.25}{5\\text{ text messages}}\\)<\/p>\n<p>Then, divide both numbers by 5 to determine the price of one text message.<\/p>\n<p style=\"text-align: center\">\\(\\dfrac{$0.25}{5\\text{ text messages}}=\\dfrac{$0.05}{1\\text{ text message}}\\)<\/p>\n<p>Plan A costs $0.05 per text message. Then, do the same for Plan B.<\/p>\n<p style=\"text-align: center\">\\(\\dfrac{0.18}{3\\text{ text messages}}\\)<\/p>\n<p>Divide both numbers by 3.<\/p>\n<p style=\"text-align: center\">\\(\\dfrac{0.18}{3\\text{ text messages}}=\\dfrac{$0.06}{1\\text{ text message}}\\)<\/p>\n<p>Plan B costs $0.06 per text message. Therefore, Plan A is the cheaper of the two options.<\/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 \/>\nThere are 763 employees in a company. 537 of them are women. What is the ratio of men to women in this company?<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-5-1\">537:763<\/div><div class=\"PQ correct_answer\"  id=\"PQ-5-2\">226:537<\/div><div class=\"PQ\"  id=\"PQ-5-3\">537:226<\/div><div class=\"PQ\"  id=\"PQ-5-4\">763:226<\/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 226:537. Be sure to read this question carefully! It asks for the ratio of men to women but the number of men is not given. Subtract 537 from 762 to find the number of men in the company.<\/p>\n<p style=\"text-align: center\">\\(763-537=226\\)<\/p>\n<p>So the ratio of men to women is 226:537.<\/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\/pre-algebra\/\">Return to Pre-Algebra Videos<\/a><\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Return to Pre-Algebra Videos<\/p>\n","protected":false},"author":1,"featured_media":211888,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"open","template":"","meta":{"footnotes":""},"class_list":{"0":"post-4534","1":"page","2":"type-page","3":"status-publish","4":"has-post-thumbnail","6":"page_category-math-advertising-group","7":"page_category-ratios-and-proportions","8":"page_type-video","9":"content_type-fact-sheet","10":"content_type-practice-questions","11":"subject_matter-math"},"aioseo_notices":[],"aioseo_head":"\n\t\t<!-- All in One SEO Pro 4.9.8 - aioseo.com -->\n\t<meta name=\"description\" content=\"A ratio is a proportional comparison of two quantities in a consistent order. 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