{"id":"cb_question_bank:ac138f05-a9a6-47aa-8a7b-0891287d1573","source_id":"cb_question_bank","source_item_id":"ac138f05-a9a6-47aa-8a7b-0891287d1573","external_id":"7e0f2970-3e0b-4e25-b69c-84a25543e4e7","ibn":null,"question_id":"7038b587","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":"spr","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"Vivian bought party hats and cupcakes for dollar sign 71 . Each package of party hats cost dollar sign 3 , and each cupcake cost dollar sign 1 . If Vivian bought 10 packages of party hats, how many cupcakes did she buy?","stimulus":"","stimulus_html":null,"stem_html":"<p style=\"text-align: left;\">Vivian bought party hats and cupcakes for <math alttext=\"dollar sign 71\"><mo>$</mo><mn>71</mn>\n</math>. Each package of party hats cost <math alttext=\"dollar sign 3\"><mo>$</mo><mn>3</mn>\n</math>, and each cupcake cost <math alttext=\"dollar sign 1\"><mo>$</mo><mn>1</mn>\n</math>. If Vivian bought <math alttext=\"10\"><mn>10</mn>\n</math> packages of party hats, how many cupcakes did she buy?</p>","rationale_html":"<p style=\"text-align: left;\">The correct answer is <math alttext=\"41\"><mn>41</mn>\n</math>. The number of cupcakes Vivian bought can be found by first finding the amount Vivian spent on cupcakes. The amount Vivian spent on cupcakes can be found by subtracting the amount Vivian spent on party hats from the total amount Vivian spent. The amount Vivian spent on party hats can be found by multiplying the cost per package of party hats by the number of packages of party hats, which yields <math alttext=\"dollar sign 3 dot 10\"><mo>$</mo><mn>3</mn><mo>·</mo><mn>10</mn></math>, or <math alttext=\"dollar sign 30\"><mo>$</mo><mn>30</mn></math>. Subtracting the amount Vivian spent on party hats, <math alttext=\"dollar sign 30\"><mo>$</mo><mn>30</mn></math>, from the total amount Vivian spent, <math alttext=\"dollar sign 71\"><mo>$</mo><mn>71</mn></math>, yields <math alttext=\"dollar sign 71 minus dollar sign 30\"><mo>$</mo><mn>71</mn><mo>-</mo><mo>$</mo><mn>30</mn></math>, or <math alttext=\"dollar sign 41\"><mo>$</mo><mn>41</mn></math>. Since the amount Vivian spent on cupcakes was <math alttext=\"dollar sign 41\"><mo>$</mo><mn>41</mn></math> and each cupcake cost <math alttext=\"dollar sign 1\"><mo>$</mo><mn>1</mn></math>, it follows that Vivian bought <math alttext=\"41\"><mn>41</mn>\n</math> cupcakes.</p>","correct_answer":["41"],"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":[],"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}}