{"id":223,"date":"2015-03-03T17:25:25","date_gmt":"2015-03-03T17:25:25","guid":{"rendered":"https:\/\/www.learningwithkayla.org\/?page_id=223"},"modified":"2015-03-03T17:25:25","modified_gmt":"2015-03-03T17:25:25","slug":"answers-to-book-2-extra-problems","status":"publish","type":"page","link":"https:\/\/www.learningwithkayla.org\/?page_id=223","title":{"rendered":"Answers to Book 2 Extra Problems"},"content":{"rendered":"<p>1. \u00a0\u00a0 [pmath]12\/1[\/pmath] x \u00a0 [pmath]1\/4[\/pmath] =\u00a0 [pmath]12\/4[\/pmath] = 3<\/p>\n<p>&nbsp;<\/p>\n<p>2.\u00a0\u00a0\u00a0\u00a0 [pmath]3\/3[\/pmath]\u00a0 &#8211;\u00a0\u00a0 [pmath]2\/3[\/pmath]\u00a0 =\u00a0\u00a0 [pmath]1\/3[\/pmath]<\/p>\n<p>&nbsp;<\/p>\n<p>3.\u00a0\u00a0\u00a0\u00a0 [pmath]6\/6[\/pmath]\u00a0 &#8211;\u00a0\u00a0 [pmath]1\/6[\/pmath]\u00a0 &#8211;\u00a0\u00a0 [pmath]2\/6[\/pmath]\u00a0 =\u00a0\u00a0 [pmath]3\/6[\/pmath]<\/p>\n<p>&nbsp;<\/p>\n<p>4.\u00a0\u00a0\u00a0\u00a0 [pmath]2\/3[\/pmath]\u00a0 x\u00a0\u00a0 [pmath]2\/6[\/pmath]\u00a0 =\u00a0\u00a0 [pmath]4\/18[\/pmath]<\/p>\n<p>&nbsp;<\/p>\n<p>5.\u00a0\u00a0\u00a0\u00a0 [pmath]3\/4[\/pmath]\u00a0 x\u00a0\u00a0 [pmath]1\/12[\/pmath]\u00a0 =\u00a0\u00a0 [pmath]3\/48[\/pmath]<\/p>\n<p>&nbsp;<\/p>\n<p>6.\u00a0\u00a0\u00a0\u00a0 Since you want to make twice as many cookies, you need twice as much sugar: \u00a0 [pmath]2\/1[\/pmath]\u00a0 x\u00a0\u00a0 [pmath]2\/3[\/pmath] cup\u00a0 =\u00a0\u00a0 [pmath]4\/3[\/pmath]\u00a0 cup<\/p>\n<p>&nbsp;<\/p>\n<p>7.\u00a0\u00a0\u00a0\u00a0 Since you want to make three times as many cookies, you need three times the amount of vanilla:\u00a0\u00a0\u00a0 [pmath]3\/1[\/pmath]\u00a0 x\u00a0\u00a0 [pmath]1\/2[\/pmath]\u00a0 teaspoon\u00a0 =\u00a0\u00a0 [pmath]3\/2[\/pmath]\u00a0 teaspoon<\/p>\n<p>&nbsp;<\/p>\n<p>8.\u00a0\u00a0\u00a0\u00a0 [pmath]2\/5[\/pmath]\u00a0 x\u00a0\u00a0 [pmath]3\/5[\/pmath]\u00a0 =\u00a0\u00a0 [pmath]6\/25[\/pmath]<\/p>\n<p>&nbsp;<\/p>\n<p>9.\u00a0\u00a0\u00a0\u00a0 First we have to find out what fraction of the m&amp;m&#8217;s in the bowl are peanut m&amp;m&#8217;s.\u00a0 This is a subtraction problem because we were told that two-fifths of all the m&amp;m&#8217;s are chocolate:\u00a0 The fraction that are peanut m&amp;m&#8217;s must be \u00a0\u00a0 [pmath]5\/5[\/pmath]\u00a0 &#8211;\u00a0\u00a0 [pmath]2\/5[\/pmath]\u00a0 =\u00a0\u00a0 [pmath]3\/5[\/pmath].\u00a0 The fraction of these m&amp;m&#8217;s that are yellow is one-fifth.\u00a0 So the fraction of all the m&amp;m&#8217;s in the bowl that are yellow peanut m&amp;m&#8217;s is\u00a0\u00a0\u00a0 [pmath]1\/5[\/pmath]\u00a0 x\u00a0\u00a0 [pmath]3\/5[\/pmath]\u00a0 =\u00a0\u00a0 [pmath]3\/25[\/pmath]<\/p>\n<p>&nbsp;<\/p>\n<p>10.\u00a0\u00a0\u00a0 This is another subtraction problem. \u00a0 The fraction representing all the m&amp;m&#8217;s in the bowl is\u00a0\u00a0\u00a0 [pmath]25\/25[\/pmath].\u00a0 The fraction that is red chocolate is\u00a0\u00a0 [pmath]6\/25[\/pmath]\u00a0 (the answer to problem 8), and the fraction that is yellow peanut is\u00a0\u00a0 [pmath]3\/25[\/pmath]\u00a0 (the answer to Problem 9).\u00a0 The remainder must therefore be:<\/p>\n<p>[pmath]25\/25[\/pmath]\u00a0 &#8211;\u00a0\u00a0 [pmath]6\/25[\/pmath]\u00a0 &#8211;\u00a0\u00a0 [pmath]3\/25[\/pmath]\u00a0 =\u00a0\u00a0 [pmath]16\/25[\/pmath]<\/p>\n","protected":false},"excerpt":{"rendered":"<p>1. \u00a0\u00a0 [pmath]12\/1[\/pmath] x \u00a0 [pmath]1\/4[\/pmath] =\u00a0 [pmath]12\/4[\/pmath] = 3 &nbsp; 2.\u00a0\u00a0\u00a0\u00a0 [pmath]3\/3[\/pmath]\u00a0 &#8211;\u00a0\u00a0 [pmath]2\/3[\/pmath]\u00a0 =\u00a0\u00a0 [pmath]1\/3[\/pmath] &nbsp; 3.\u00a0\u00a0\u00a0\u00a0 [pmath]6\/6[\/pmath]\u00a0 &#8211;\u00a0\u00a0 [pmath]1\/6[\/pmath]\u00a0 &#8211;\u00a0\u00a0 [pmath]2\/6[\/pmath]\u00a0 =\u00a0\u00a0 [pmath]3\/6[\/pmath] &nbsp; 4.\u00a0\u00a0\u00a0\u00a0 [pmath]2\/3[\/pmath]\u00a0 x\u00a0\u00a0 [pmath]2\/6[\/pmath]\u00a0 =\u00a0\u00a0 [pmath]4\/18[\/pmath] &nbsp; 5.\u00a0\u00a0\u00a0\u00a0 [pmath]3\/4[\/pmath]\u00a0 x\u00a0\u00a0 [pmath]1\/12[\/pmath]\u00a0 =\u00a0\u00a0 [pmath]3\/48[\/pmath] &nbsp; 6.\u00a0\u00a0\u00a0\u00a0 Since you want to make twice as many cookies, you need twice as &hellip; <a href=\"https:\/\/www.learningwithkayla.org\/?page_id=223\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">Answers to Book 2 Extra Problems<\/span> <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"open","template":"","meta":{"footnotes":""},"class_list":["post-223","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.learningwithkayla.org\/index.php?rest_route=\/wp\/v2\/pages\/223","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learningwithkayla.org\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.learningwithkayla.org\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.learningwithkayla.org\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learningwithkayla.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=223"}],"version-history":[{"count":10,"href":"https:\/\/www.learningwithkayla.org\/index.php?rest_route=\/wp\/v2\/pages\/223\/revisions"}],"predecessor-version":[{"id":241,"href":"https:\/\/www.learningwithkayla.org\/index.php?rest_route=\/wp\/v2\/pages\/223\/revisions\/241"}],"wp:attachment":[{"href":"https:\/\/www.learningwithkayla.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=223"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}