{"id":"cb_question_bank:7b56f747-acfa-4612-8d09-3edfcf74030f","source_id":"cb_question_bank","source_item_id":"7b56f747-acfa-4612-8d09-3edfcf74030f","external_id":null,"ibn":"14884-DC","question_id":"7e6c745f","program":"SAT","module":"math","domain_code":"Q","domain":"Problem-Solving and Data Analysis","skill_code":"Q.A.","skill":"Ratios, rates, proportional relationships, and units","difficulty":"M","score_band":5,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"Food Protein Cost 1 large egg 6 grams $0.36 1 cup of milk 8 grams $0.24 The table above shows the amount of protein in two foods and the cost of each food. Based on the table, what is the ratio of the cost per gram of protein in a large egg to the cost per gram of protein in a cup of milk?","stimulus":"","stimulus_html":null,"stem_html":"<div class=\"table_wrapper \">\n            <table class=\"table\"><tbody><tr><td>\n                    <div class=\"tcp-a653250b-9ada-459e-a4d6-1c3c5f5f5740\">\n                      <table class=\"table_WithBorder tcp-bae8268e-ac23-4700-bdf3-f03c96ba18bd\"><tbody><tr><td class=\"tcp-15a08c4c-7067-4d81-bcc4-9c330ff02949\">Food</td>\n                            <td class=\"tcp-19ff16e8-e784-4d6b-8693-2e1221445231\">Protein&nbsp;</td>\n                            <td class=\"tcp-3b9dfc4d-a5ba-4889-8993-c88be87e0f90\">Cost</td>\n                          </tr><tr><td class=\"tcp-cca517e2-df6f-4aff-b5a2-0d56da8f2cf7\">1 large egg</td>\n                            <td class=\"tcp-9d7ff16a-64b5-4a37-a2c2-65bc1f3605f6\">6 grams</td>\n                            <td class=\"tcp-61f11c1c-c32a-4ad3-895e-08bd138e0de3\">$0.36</td>\n                          </tr><tr><td class=\"tcp-7c3b063b-fe28-4c4d-91e5-8aac8e199b54\">1 cup of milk</td>\n                            <td class=\"tcp-00fe9016-5ef3-42a8-977f-482083e9a4e4\">8 grams</td>\n                            <td class=\"tcp-123badb1-e35d-4cb0-b16b-a8bfbbf7f31d\">$0.24</td>\n                          </tr></tbody></table></div>\n                  </td>\n                </tr></tbody></table><p class=\"stem_paragraph \">The table above shows the amount of protein in two foods and the cost of each food. Based on the table, what is the ratio of the cost per gram of protein in a large egg to the cost per gram of protein in a cup of&nbsp;milk?</p></div>\n","rationale_html":"<p>Choice D is correct. The cost per gram of protein in 1 large egg is $0.36 ÷ 6 = $0.06. The cost per gram of protein in 1 cup of milk is $0.24 ÷ 8 = $0.03. It follows that the ratio of the cost per gram of protein in a large egg to the cost per gram of protein in a cup of milk is&nbsp;0.06:0.03, which can be rewritten as 2:1.</p><p>Choice A is incorrect and may result from finding the ratio of the cost per gram of protein in a cup of milk to the cost per gram of protein in a large egg (the reciprocal of the ratio specified in the question). Choices B and C are incorrect and may result from incorrectly calculating the unit rates or from errors made when simplifying the ratio.</p><p></p>\n","correct_answer":["D"],"has_media":false,"has_mathml":false,"has_table":true,"source_created_at":"2023-08-02T20:25:59.639000+00:00","source_updated_at":"2023-08-02T20:25:59.639000+00:00","options":[{"label":"A","content_html":"<p class=\"choice_paragraph \">1 : 2</p>\n","ord":0},{"label":"B","content_html":"<p class=\"choice_paragraph \">2 : 3</p>\n","ord":1},{"label":"C","content_html":"<p class=\"choice_paragraph \">3 : 4</p>\n","ord":2},{"label":"D","content_html":"<p class=\"choice_paragraph \">2 : 1</p>\n","ord":3}],"attribution":{"source_id":"cb_question_bank","source_name":"College Board digital SAT question bank (community dump)","rights_holder":"College Board","canonical_url":"https://satsuitequestionbank.collegeboard.org/","retrieved_from":"https://raw.githubusercontent.com/mdn522/sat-question-bank/main/data/cb-digital-questions.json","attribution":"SAT practice questions © College Board, from the official SAT Suite Question Bank. Retrieved via the community dump at github.com/mdn522/sat-question-bank.","disclaimer":"SAT® and PSAT/NMSQT® are trademarks registered by the College Board, which is not affiliated with, does not sponsor, and does not endorse this project.","license":"College Board copyright; source repository carries no licence. Local use only.","redistributable":false,"item_count":2017}}