{"id":"cb_question_bank:8744c1d2-c312-4fce-9f95-78519cd5bb71","source_id":"cb_question_bank","source_item_id":"8744c1d2-c312-4fce-9f95-78519cd5bb71","external_id":"7a8622f4-3e4b-4373-a170-e62a46579a04","ibn":null,"question_id":"52a8ef85","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":"The equation 40 x plus 20 y equals 160 represents the number of sweaters, x , and number of shirts, y , that Yesenia purchased for dollar sign 160 . If Yesenia purchased 2 sweaters, how many shirts did she purchase?","stimulus":"","stimulus_html":null,"stem_html":"

The equation \n\t\n\t\t\n\t\t\t40\n\t\t\tx\n\t\t\n\t\t+\n\t\t\n\t\t\t20\n\t\t\ty\n\t\t\n\t\n\t=\n\t160\n\n represents the number of sweaters, x\n, and number of shirts, y\n, that Yesenia purchased for $160. If Yesenia purchased 2\n sweaters, how many shirts did she purchase?  

","rationale_html":"

Choice B is correct. It's given that the equation \n\t\n\t\t\n\t\t\t40\n\t\t\tx\n\t\t\n\t\t+\n\t\t\n\t\t\t20\n\t\t\ty\n\t\t\n\t\n\t=\n\t160\n\n represents the number of sweaters, x\n, and the number of shirts, y\n, that Yesenia purchased for $160. If Yesenia purchased 2\n sweaters, the number of shirts she purchased can be calculated by substituting 2\n for x\n in the given equation, which yields 402+20y=160, or 80+20y=160. Subtracting 80\n from both sides of this equation yields \n\t\n\t\t20\n\t\ty\n\t\n\t=\n\t80\n\n. Dividing both sides of this equation by 20\n yields \n\ty\n\t=\n\t4\n\n. Therefore, if Yesenia purchased 2\n sweaters, she purchased 4\n shirts.

\n

Choice A is incorrect and may result from conceptual or calculation errors.

\n

Choice C is incorrect. This is the number of shirts Yesenia purchased if she purchased 0\n sweaters.

\n

Choice D is incorrect. This is the price, in dollars, for each sweater, not the number of shirts Yesenia purchased. 

","correct_answer":["B"],"has_media":false,"has_mathml":true,"has_table":false,"source_created_at":"2023-08-02T20:25:59.815000+00:00","source_updated_at":"2023-08-02T20:25:59.815000+00:00","options":[{"label":"A","content_html":"

3\n

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

4\n

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

8\n

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

40\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}}