{"id":"cb_question_bank:f6b38ead-f8df-4160-a275-60fab0790350","source_id":"cb_question_bank","source_item_id":"f6b38ead-f8df-4160-a275-60fab0790350","external_id":null,"ibn":"08822-DC","question_id":"44d65912","program":"SAT","module":"math","domain_code":"H","domain":"Algebra","skill_code":"H.D.","skill":"Systems of two linear equations in two variables","difficulty":"E","score_band":1,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"Which system of equations can be used to correctly determine the values of c and s ?","stimulus":"Angela is playing a video game. In this game, players can score points only by collecting coins and stars. Each coin is worth c points, and each star is worth s points. The first time she played, Angela scored 700 points. She collected 20 coins and 10 stars. The second time she played, Angela scored 850 points. She collected 25 coins and 12 stars.","stimulus_html":"<div class=\"stimulus_reference \"><div class=\"passage \"><div class=\"prose style:1 \"><p class=\"passage_para \">Angela is playing a video game. In this game, players can score points only by collecting coins and stars. Each coin is worth <span class=\"italic\">c</span> points, and each star is worth <span class=\"italic\">s</span> points.</p><ul class=\"unordered_list style:1 \"><li class=\"list_paragraph \">The first time she played, Angela scored 700 points. She collected 20 coins and 10 stars.</li><li class=\"list_paragraph \">The second time she played, Angela scored 850 points. She collected 25 coins and 12 stars.</li></ul></div></div></div>\n","stem_html":"<p class=\"stem_paragraph \">Which system of equations can be used to correctly determine the values of <span class=\"italic\">c</span> and <span class=\"italic\">s</span> ?</p>\n","rationale_html":"<p>Choice B is correct. The number of coins collected can be multiplied by <span class=\"italic\">c</span> to give the score from the points earned from coins. Similarly, the number of stars collected can be multiplied by <span class=\"italic\">s</span> to give the score from the points earned from the stars. Therefore, the total score each time Angela played is <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/07582b88bca6c0c9f033912ee1752d2cb461eb9aec3673a7d481f6d9ceec06ba\" alt=\"20 c, plus 10 s, equals 700\"></span>, and the total score the second time she played is <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/31276981dba42e00da24429fa8f0cb04774a165ead33a8d59c1ea63bd160cad8\" alt=\"25 c, plus 12 s, equals 850\"></span>.</p><p>Choices A, C, and D are incorrect and may result from misidentifying the terms of the equation. Choice A switches coins and stars, choice C switches stars and points, and choice D misidentifies coins, stars, and points.</p><p>&nbsp;</p><p></p>\n","correct_answer":["B"],"has_media":true,"has_mathml":false,"has_table":false,"source_created_at":"2023-08-02T20:25:59.636000+00:00","source_updated_at":"2023-08-02T20:25:59.636000+00:00","options":[{"label":"A","content_html":"<p class=\"choice_paragraph \"><span class=\"math_expression \"><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/cfbb582e7a77b4c0fa2218ce850188c5e7a1071a907987de09e4333eee3e845c\" alt=\"This answer choice consists of two equations. 10 c, plus 20 s, equals 700, and, 12 c, plus 25 s, equals 850\"></span></span></p>\n","ord":0},{"label":"B","content_html":"<p class=\"choice_paragraph \"><span class=\"math_expression \"><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/5d659822164f76fd930153377aff80f760dc8fdaf1d054e3e7625d949374a1f7\" alt=\"This answer choice consists of two equations. 20 c, plus 10 s, equals 700, and, 25 c, plus 12 s, equals 850\"></span></span></p>\n","ord":1},{"label":"C","content_html":"<p class=\"choice_paragraph \"><span class=\"math_expression \"><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/8c1c349f8b310116573874d4c38f2344b757f5a5a074fef7bd30b61667633187\" alt=\"This answer choice consists of two equations. 20 c, plus 700 s, equals 10, and, 25 c, plus 850 s, equals 12\"></span></span></p>\n","ord":2},{"label":"D","content_html":"<p class=\"choice_paragraph \"><span class=\"math_expression \"><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/d128e956cf81db9ad61373a176fc765f46d42bbe92fca1365056fc8f80eff9b8\" alt=\"This answer choice consists of two equations. 700 c, plus 20 s, equals 10, and, 850 c, plus 25 s, equals 12\"></span></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}}