{"id":"cb_question_bank:319d9469-8308-4073-b7aa-4f25e5a8394b","source_id":"cb_question_bank","source_item_id":"319d9469-8308-4073-b7aa-4f25e5a8394b","external_id":null,"ibn":"029014-DC","question_id":"6310adbc","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":"The ratio of t to u is 1 to 2, and t equals 10 . What is the value of u ?","stimulus":"","stimulus_html":null,"stem_html":"<p class=\"stem_paragraph \">The ratio of <span class=\"italic\">t</span> to <span class=\"italic\">u</span> is 1 to 2, and <span class=\"math_expression \"><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/17e18e31840adb22a613d347a45c5f05f0196444445970139a0ed6685ed699e2\" alt=\"t equals 10\"></span></span>. What is the value of <span class=\"italic\">u</span> ?</p>\n","rationale_html":"<p>Choice D is correct. It’s given that the ratio of <span class=\"italic\">t</span> to <span class=\"italic\">u</span> is 1 to 2. Since <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/17e18e31840adb22a613d347a45c5f05f0196444445970139a0ed6685ed699e2\" alt=\"t equals 10\"></span>, it follows that the ratio of 10 to <span class=\"italic\">u</span> is also 1 to 2. The relationship between these ratios can be represented by the proportion <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/fce1a24aa7156b62beb162e261ffafac1a4c13de2a661cc3cd54738067d1b02e\" alt=\"10 over u, equals one half\"></span>. Multiplying both sides of this equation by 2 and then by <span class=\"italic\">u</span> yields <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/ba7e64b43098e6b22397c00103cc1832645b8ad54611263134d7cd8760e87c84\" alt=\"20 equals u\"></span>.</p><p>Choice A is incorrect. This is the value of <span class=\"italic\">u </span>when <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/958012b55c23c8ea404be4c2b9dff5a111496f636ed74db712dda60d4c24c7d9\" alt=\"t equals 1\"></span>. Choice B is incorrect. This would be the value of <span class=\"italic\">u</span> if the ratio of <span class=\"italic\">t</span> to <span class=\"italic\">u</span> were 2 to 1. Choice C is incorrect. This is the value of <span class=\"italic\">t</span>, not <span class=\"italic\">u</span>.</p><p></p>\n","correct_answer":["D"],"has_media":true,"has_mathml":false,"has_table":false,"source_created_at":"2023-08-02T20:25:59.624000+00:00","source_updated_at":"2023-08-02T20:25:59.624000+00:00","options":[{"label":"A","content_html":"<p class=\"choice_paragraph \">2</p>\n","ord":0},{"label":"B","content_html":"<p class=\"choice_paragraph \">5</p>\n","ord":1},{"label":"C","content_html":"<p class=\"choice_paragraph \">10</p>\n","ord":2},{"label":"D","content_html":"<p class=\"choice_paragraph \">20</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}}