{"id":"cb_question_bank:a860feb3-70b7-423f-9585-8965047dc7c0","source_id":"cb_question_bank","source_item_id":"a860feb3-70b7-423f-9585-8965047dc7c0","external_id":null,"ibn":"025731-DC","question_id":"84d0d07e","program":"SAT","module":"math","domain_code":"H","domain":"Algebra","skill_code":"H.E.","skill":"Linear inequalities in one or two variables","difficulty":"E","score_band":2,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"A clothing store is having a sale on shirts and pants. During the sale, the cost of each shirt is $15 and the cost of each pair of pants is $25. Geoff can spend at most $120 at the store. If Geoff buys s shirts and p pairs of pants, which of the following must be true?","stimulus":"","stimulus_html":null,"stem_html":"<p class=\"stem_paragraph \">A clothing store is having a sale on shirts and pants. During the sale, the cost of each shirt is $15 and the cost of each pair of pants is $25. Geoff can spend at most $120 at the store. If Geoff buys <span class=\"italic\">s</span> shirts and <span class=\"italic\">p</span> pairs of pants, which of the following must be true?</p>\n","rationale_html":"<p>Choice A is correct. Since the cost of each shirt is $15 and Geoff buys <span class=\"italic\">s</span> shirts, the expression <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/0a66597db9572985f46e77a5c9a802e14053c75111cb20a3b23f6eb524484b86\" alt=\"15 s\"></span> represents the amount Geoff spends on shirts. Since the cost of each pair of pants is $25 and Geoff buys <span class=\"italic\">p</span> pairs of pants, the expression <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/7c5a553adc5a1f6c58aee44e2d9b009dff6c26f289af2d92effd8ebf38951fab\" alt=\"25 p\"></span> represents the amount Geoff spends on pants. Therefore, the sum <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/68c8a7bc1b9c7ea133d92084656c4117b576abb9da3cb3637c97cad7e0bee36c\" alt=\"15 s plus 25 p \"></span> represents the total amount Geoff spends at the store. Since Geoff can spend at most $120 at the store, the total amount he spends must be less than or equal to 120. Thus, <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/c11a7b57728e35147c94adc6c1295065394f1e334cb6f3d8733324299d90fb7f\" alt=\"15 s plus 25 p, is less than or equal to 120\"></span>.</p><p>Choice B is incorrect. This represents the situation in which Geoff spends at least, rather than at most, $120 at the store. Choice C is incorrect and may result from reversing the cost of a shirt and that of a pair of paints. Choice D is incorrect and may result from both reversing the cost of a shirt and that of a pair of pants and from representing a situation in which Geoff spends at least, rather than at most, $120 at the store.</p><p></p>\n","correct_answer":["A"],"has_media":true,"has_mathml":false,"has_table":false,"source_created_at":"2023-08-02T20:25:59.619000+00:00","source_updated_at":"2023-08-02T20:25:59.619000+00:00","options":[{"label":"A","content_html":"<p class=\"choice_paragraph \">\n            <span class=\"math_expression \">\n              <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/c11a7b57728e35147c94adc6c1295065394f1e334cb6f3d8733324299d90fb7f\" alt=\"15 s plus 25 p, is less than or equal to 120\"></span></span>\n          </p>\n","ord":0},{"label":"B","content_html":"<p class=\"choice_paragraph \">\n            <span class=\"math_expression \">\n              <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/d4d243d8d921d05a4a294d117781eae3f80d62294984bdc5800b63b6758b76c8\" alt=\"15 s plus 25 p, is greater than or equal to 120\"></span></span>\n          </p>\n","ord":1},{"label":"C","content_html":"<p class=\"choice_paragraph \">\n            <span class=\"math_expression \">\n              <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/1a29d53263c39438e965659a9576c85c8836a6314fac8b1cfa3c4087308f8258\" alt=\"25 s plus 15 p, is less than or equal to 120\"></span></span>\n          </p>\n","ord":2},{"label":"D","content_html":"<p class=\"choice_paragraph \">\n            <span class=\"math_expression \">\n              <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/d7135073a2663808691627e1e240350080cc7a1889db74705834b4909842aa1f\" alt=\"25 s plus 15 p, is greater than or equal to 120\"></span></span>\n          </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}}