{"id":"cb_question_bank:728dfb82-b658-4437-a5ea-56e7d8c26f8f","source_id":"cb_question_bank","source_item_id":"728dfb82-b658-4437-a5ea-56e7d8c26f8f","external_id":null,"ibn":"04108-DC","question_id":"06a152cd","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":"E","score_band":2,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"To make a bakery’s signature chocolate muffins, a baker needs 2.5 ounces of chocolate for each muffin. How many pounds of chocolate are needed to make 48 signature chocolate muffins? (1 pound = 16 ounces)","stimulus":"","stimulus_html":null,"stem_html":"<p class=\"stem_paragraph \">To make a bakery’s signature chocolate muffins, a baker needs 2.5&nbsp;ounces of chocolate for each muffin. How many <u><span class=\"underline\"><span class=\"underline \">pounds</span></span></u> of chocolate are needed to make 48&nbsp;signature chocolate muffins? (1 pound <span class=\"math_expression \">= </span>16 ounces)</p>\n","rationale_html":"<p>Choice A is correct. If 2.5 ounces of chocolate are needed for each muffin, then the number of ounces of chocolate needed to make 48 muffins is <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/ed8ccfc9dd1f85e928f00193a6f80094aae826c41996a7ae1ce8cee123c21870\" alt=\"48 times 2 point 5, equals 120\"></span> ounces. Since 1 pound = 16 ounces, the number of pounds that is equivalent to 120 ounces is<span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/ae9b4cab7d8617dd280f6c58af247802d83f3a64fec8c31d4053eb6a313b41de\" alt=\"120 over 16 equals 7 point 5\"></span> pounds. Therefore, 7.5 pounds of chocolate are needed to make the 48 muffins.</p><p>Choice B is incorrect. If 10 pounds of chocolate were needed to make 48 muffins, then the total number of ounces of chocolate needed would be <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/d3dd9bafabfc857a04b9431d1ba460f6d28549f5b289eada3d9e2f5cb5b20118\" alt=\"10 times 16, equals 160\"></span> ounces. The number of ounces of chocolate per muffin would then be<span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/c81eed4e704704f01d4cac9b19bbc0282800b27164954e993d8a44a926b1a149\" alt=\"160 over 48, equals 3 point 3 3\"></span> ounces per muffin, not 2.5 ounces per muffin. Choices C and D are also incorrect. Following the same procedures as used to test choice B gives 16.8 ounces per muffin for choice C and 40 ounces per muffin for choice D, not 2.5 ounces per muffin. Therefore, 50.5 and 120 pounds cannot be the number of pounds needed to make 48 signature chocolate muffins.</p><p>&nbsp;</p><p></p>\n","correct_answer":["A"],"has_media":true,"has_mathml":false,"has_table":false,"source_created_at":"2023-08-02T20:25:59.628000+00:00","source_updated_at":"2023-08-02T20:25:59.628000+00:00","options":[{"label":"A","content_html":"<p><span class=\"align align-24\">7.5</span></p>\n","ord":0},{"label":"B","content_html":"<p><span class=\"align align-24\">10</span></p>\n","ord":1},{"label":"C","content_html":"<p><span class=\"align align-24\">50.5</span></p>\n","ord":2},{"label":"D","content_html":"<p><span class=\"align align-24\">120</span></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}}