{"id":8107,"date":"2023-09-20T17:46:33","date_gmt":"2023-09-20T17:46:33","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/?post_type=chapter&#038;p=8107"},"modified":"2025-08-28T03:54:23","modified_gmt":"2025-08-28T03:54:23","slug":"calculations-involving-rational-numbers-apply-it-1","status":"web-only","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/chapter\/calculations-involving-rational-numbers-apply-it-1\/","title":{"raw":"Calculations Involving Rational Numbers: Apply It 1","rendered":"Calculations Involving Rational Numbers: Apply It 1"},"content":{"raw":"<section class=\"textbox learningGoals\">\r\n<ul>\r\n\t<li>Add, subtract, multiple and divide fractions<\/li>\r\n\t<li>Solve real-world problems using arithmetic with rational functions<\/li>\r\n\t<li>Convert between improper fractions and mixed numbers<\/li>\r\n<\/ul>\r\n<\/section>\r\n<h2>Rational Numbers in Robotics: Budgeting for the Build<\/h2>\r\n<center>\r\n[caption id=\"attachment_10378\" align=\"aligncenter\" width=\"500\"]<img class=\"wp-image-10378\" src=\"https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/18\/2023\/09\/06174439\/pexels-photo-9242833.webp\" alt=\"A group of students working on a robotics project\" width=\"500\" height=\"333\" \/> Figure 1. Help Alex budget for his school robotics club[\/caption]\r\n<\/center>\r\n<p>&nbsp;<\/p>\r\n<p>Alex is the treasurer of the school's robotics club. The club has received a grant to build a robot for an upcoming competition, and Alex must allocate funds for various components and activities. Your task is to help Alex budget effectively, ensuring that every dollar and every minute is used wisely.<\/p>\r\n<h3>Allocating Funds<\/h3>\r\n<p>The club has [latex]$1,200[\/latex] for the project. The robot's core components cost [latex]\\frac{5}{8}[\/latex] of the total budget, and the programming software requires [latex]\\frac{1}{6}[\/latex]\u00a0of the remaining funds.<\/p>\r\n<section class=\"textbox tryIt\">\r\n<p>[ohm2_question hide_question_numbers=1]13845[\/ohm2_question]<\/p>\r\n<\/section>\r\n<h3>Snack Budgeting<\/h3>\r\n<p>During the build sessions, the club provides snacks. They have allocated [latex]\\frac{1}{10}[\/latex] of the total budget for snacks. A pack of snacks costs [latex]$7.50[\/latex].<\/p>\r\n<section class=\"textbox tryIt\">\r\n<p>[ohm2_question hide_question_numbers=1]13848[\/ohm2_question]<\/p>\r\n<\/section>\r\n<h3>Documentation<\/h3>\r\n<p>The club wants to document their project with a video. They have [latex]\\frac{1}{5}[\/latex]<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\"><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> of the remaining budget after snacks for this purpose. How much money can they spend on video documentation?<\/p>\r\n<section class=\"textbox tryIt\">\r\n<p>[ohm2_question hide_question_numbers=1]13849[\/ohm2_question]<\/p>\r\n<\/section>","rendered":"<section class=\"textbox learningGoals\">\n<ul>\n<li>Add, subtract, multiple and divide fractions<\/li>\n<li>Solve real-world problems using arithmetic with rational functions<\/li>\n<li>Convert between improper fractions and mixed numbers<\/li>\n<\/ul>\n<\/section>\n<h2>Rational Numbers in Robotics: Budgeting for the Build<\/h2>\n<div style=\"text-align: center;\">\n<figure id=\"attachment_10378\" aria-describedby=\"caption-attachment-10378\" style=\"width: 500px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-10378\" src=\"https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/18\/2023\/09\/06174439\/pexels-photo-9242833.webp\" alt=\"A group of students working on a robotics project\" width=\"500\" height=\"333\" srcset=\"https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/18\/2023\/09\/06174439\/pexels-photo-9242833.webp 1125w, https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/18\/2023\/09\/06174439\/pexels-photo-9242833-300x200.webp 300w, https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/18\/2023\/09\/06174439\/pexels-photo-9242833-1024x683.webp 1024w, https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/18\/2023\/09\/06174439\/pexels-photo-9242833-768x512.webp 768w, https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/18\/2023\/09\/06174439\/pexels-photo-9242833-65x43.webp 65w, https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/18\/2023\/09\/06174439\/pexels-photo-9242833-225x150.webp 225w, https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/18\/2023\/09\/06174439\/pexels-photo-9242833-350x233.webp 350w\" sizes=\"(max-width: 500px) 100vw, 500px\" \/><figcaption id=\"caption-attachment-10378\" class=\"wp-caption-text\">Figure 1. Help Alex budget for his school robotics club<\/figcaption><\/figure>\n<\/div>\n<p>&nbsp;<\/p>\n<p>Alex is the treasurer of the school&#8217;s robotics club. The club has received a grant to build a robot for an upcoming competition, and Alex must allocate funds for various components and activities. Your task is to help Alex budget effectively, ensuring that every dollar and every minute is used wisely.<\/p>\n<h3>Allocating Funds<\/h3>\n<p>The club has [latex]$1,200[\/latex] for the project. The robot&#8217;s core components cost [latex]\\frac{5}{8}[\/latex] of the total budget, and the programming software requires [latex]\\frac{1}{6}[\/latex]\u00a0of the remaining funds.<\/p>\n<section class=\"textbox tryIt\">\n<iframe loading=\"lazy\" id=\"ohm13845\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=13845&theme=lumen&iframe_resize_id=ohm13845&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><br \/>\n<\/section>\n<h3>Snack Budgeting<\/h3>\n<p>During the build sessions, the club provides snacks. They have allocated [latex]\\frac{1}{10}[\/latex] of the total budget for snacks. A pack of snacks costs [latex]$7.50[\/latex].<\/p>\n<section class=\"textbox tryIt\">\n<iframe loading=\"lazy\" id=\"ohm13848\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=13848&theme=lumen&iframe_resize_id=ohm13848&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><br \/>\n<\/section>\n<h3>Documentation<\/h3>\n<p>The club wants to document their project with a video. They have [latex]\\frac{1}{5}[\/latex]<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\"><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> of the remaining budget after snacks for this purpose. How much money can they spend on video documentation?<\/p>\n<section class=\"textbox tryIt\">\n<iframe loading=\"lazy\" id=\"ohm13849\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=13849&theme=lumen&iframe_resize_id=ohm13849&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><br \/>\n<\/section>\n","protected":false},"author":15,"menu_order":16,"template":"","meta":{"_candela_citation":"[{\"type\":\"pd\",\"description\":\"A Group of People Assembling a Robot\",\"author\":\"Mikhail Nilov\",\"organization\":\"Pexels\",\"url\":\"https:\/\/www.pexels.com\/photo\/a-group-of-people-assembling-a-robot-9242833\/\",\"project\":\"\",\"license\":\"cc-by-sa\",\"license_terms\":\"\"}]","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"part":53,"module-header":"apply_it","content_attributions":[{"type":"pd","description":"A Group of People Assembling a Robot","author":"Mikhail Nilov","organization":"Pexels","url":"https:\/\/www.pexels.com\/photo\/a-group-of-people-assembling-a-robot-9242833\/","project":"","license":"cc-by-sa","license_terms":""}],"internal_book_links":[],"video_content":null,"cc_video_embed_content":{"cc_scripts":"","media_targets":[]},"try_it_collection":null,"_links":{"self":[{"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/chapters\/8107"}],"collection":[{"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/wp\/v2\/users\/15"}],"version-history":[{"count":13,"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/chapters\/8107\/revisions"}],"predecessor-version":[{"id":15804,"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/chapters\/8107\/revisions\/15804"}],"part":[{"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/parts\/53"}],"metadata":[{"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/chapters\/8107\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/wp\/v2\/media?parent=8107"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/pressbooks\/v2\/chapter-type?post=8107"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/wp\/v2\/contributor?post=8107"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/quantitativereasoning\/wp-json\/wp\/v2\/license?post=8107"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}