{"id":"cb_question_bank:d309f42a-08d0-4754-a471-111f088a7203","source_id":"cb_question_bank","source_item_id":"d309f42a-08d0-4754-a471-111f088a7203","external_id":"1678f18c-082f-4417-97ca-e3e524d586e6","ibn":null,"question_id":"f02b4509","program":"SAT","module":"math","domain_code":"H","domain":"Algebra","skill_code":"H.E.","skill":"Linear inequalities in one or two variables","difficulty":"M","score_band":4,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"A moving truck can tow a trailer if the combined weight of the trailer and the boxes it contains is no more than 4,600 pounds. What is the maximum number of boxes this truck can tow in a trailer with a weight of 500 pounds if each box weighs 120 pounds?","stimulus":"","stimulus_html":null,"stem_html":"

A moving truck can tow a trailer if the combined weight of the trailer and the boxes it contains is no more than 4,600\n pounds. What is the maximum number of boxes this truck can tow in a trailer with a weight of 500\n pounds if each box weighs 120\n pounds?

","rationale_html":"

Choice A is correct. It’s given that the truck can tow a trailer if the combined weight of the trailer and the boxes it contains is no more than 4,600\n pounds. If the trailer has a weight of 500\n pounds and each box weighs 120\n pounds, the expression 500+120b, where b\n is the number of boxes, gives the combined weight of the trailer and the boxes. Since the combined weight must be no more than 4,600\n pounds, the possible numbers of boxes the truck can tow are given by the inequality 500+120b≤4,600. Subtracting 500\n from both sides of this inequality yields 120b≤4,100. Dividing both sides of this inequality by 120\n yields b≤2056, or b\n is less than or equal to approximately 34.17\n. Since the number of boxes, b\n, must be a whole number, the maximum number of boxes the truck can tow is the greatest whole number less than 34.17\n, which is 34\n.

\n

Choice B is incorrect. Towing the trailer and 35\n boxes would yield a combined weight of 4,700\n pounds, which is greater than 4,600\n pounds.

\n

Choice C is incorrect. Towing the trailer and 38\n boxes would yield a combined weight of 5,060\n pounds, which is greater than 4,600\n pounds.

\n

Choice D is incorrect. Towing the trailer and 39\n boxes would yield a combined weight of 5,180\n pounds, which is greater than 4,600\n pounds.

","correct_answer":["A"],"has_media":false,"has_mathml":true,"has_table":false,"source_created_at":"2023-08-02T20:25:59.819000+00:00","source_updated_at":"2023-08-02T20:25:59.819000+00:00","options":[{"label":"A","content_html":"

34\n

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

35\n

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

38\n

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

39\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}}