{"id":"cb_question_bank:371341f1-77aa-4849-b7c0-9dee64773d71","source_id":"cb_question_bank","source_item_id":"371341f1-77aa-4849-b7c0-9dee64773d71","external_id":"afbd028c-6ff7-478a-83f7-9d7942bf56c6","ibn":null,"question_id":"ebf8d2b7","program":"SAT","module":"math","domain_code":"H","domain":"Algebra","skill_code":"H.C.","skill":"Linear equations in two variables","difficulty":"E","score_band":3,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"A machine makes large boxes or small boxes, one at a time, for a total of 700 minutes each day. It takes the machine 10 minutes to make a large box or 5 minutes to make a small box. Which equation represents the possible number of large boxes, x , and small boxes, y , the machine can make each day?","stimulus":"","stimulus_html":null,"stem_html":"

A machine makes large boxes or small boxes, one at a time, for a total of 700\n minutes each day. It takes the machine 10\n minutes to make a large box or 5\n minutes to make a small box. Which equation represents the possible number of large boxes, x\n, and small boxes, y\n, the machine can make each day?

","rationale_html":"

Choice B is correct. It’s given that it takes the machine 10\n minutes to make a large box. It's also given that x\n represents the possible number of large boxes the machine can make each day. Multiplying 10\n by x\n gives \n\t10\n\tx\n\n, which represents the amount of time spent making large boxes. It’s given that it takes the machine 5\n minutes to make a small box. It's also given that y\n represents the possible number of small boxes the machine can make each day. Multiplying 5\n by y\n gives \n\t5\n\ty\n\n, which represents the amount of time spent making small boxes. Combining the amount of time spent making x\n large boxes and y\n small boxes yields \n\t\n\t\t10\n\t\tx\n\t\n\t+\n\t\n\t\t5\n\t\ty\n\t\n\n. It’s given that the machine makes boxes for a total of 700\n minutes each day. Therefore \n\t\n\t\t\n\t\t\t10\n\t\t\tx\n\t\t\n\t\t+\n\t\t\n\t\t\t5\n\t\t\ty\n\t\t\n\t\n\t=\n\t700\n\n represents the possible number of large boxes, x\n, and small boxes, y\n, the machine can make each day.

\n

Choice A is incorrect and may result from associating the time of 10\n minutes with small, rather than large, boxes and the time of 5\n minutes with large, rather than small, boxes.

\n

Choice C is incorrect and may result from conceptual errors.

\n

Choice D is incorrect and may result from conceptual errors.

","correct_answer":["B"],"has_media":false,"has_mathml":true,"has_table":false,"source_created_at":"2023-08-02T20:25:59.813000+00:00","source_updated_at":"2023-08-02T20:25:59.813000+00:00","options":[{"label":"A","content_html":"

5x+10y=700

","ord":0},{"label":"B","content_html":"

10x+5y=700

","ord":1},{"label":"C","content_html":"

x+y10+5=700

","ord":2},{"label":"D","content_html":"

10+x5+y=700

","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}}