{"id":"cb_question_bank:7667db4f-d60e-40be-bb8d-931e96c00ffb","source_id":"cb_question_bank","source_item_id":"7667db4f-d60e-40be-bb8d-931e96c00ffb","external_id":"b80105ad-11a3-443a-9dc8-51472ba42bbf","ibn":null,"question_id":"8339793c","program":"SAT","module":"math","domain_code":"H","domain":"Algebra","skill_code":"H.A.","skill":"Linear equations in one variable","difficulty":"E","score_band":3,"answer_type":"spr","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"Nasir bought 9 storage bins that were each the same price. He used a coupon for dollar sign 63 off the entire purchase. The cost for the entire purchase after using the coupon was dollar sign 27 . What was the original price, in dollars, for 1 storage bin?","stimulus":"","stimulus_html":null,"stem_html":"<p style=\"text-align: left;\">Nasir bought <math alttext=\"9\"><mn>9</mn>\n</math> storage bins that were each the same price. He used a coupon for <math alttext=\"dollar sign 63\"><mtext>$</mtext><mn>63</mn></math> off the entire purchase. The cost for the entire purchase after using the coupon was <math alttext=\"dollar sign 27\"><mtext>$</mtext><mn>27</mn></math>. What was the original price, in dollars, for <math alttext=\"1\"><mn>1</mn>\n</math> storage bin?</p>","rationale_html":"<p style=\"text-align: left;\">The correct answer is <math alttext=\"10\"><mn>10</mn>\n</math>. It’s given that the cost for the entire purchase was <math alttext=\"dollar sign 27\"><mo>$</mo><mn>27</mn></math> after a coupon was used for <math alttext=\"dollar sign 63\"><mo>$</mo><mn>63</mn></math> off the entire purchase. Adding the amount of the coupon to the purchase price yields <math alttext=\"27 plus 63 equals 90\"><mn>27</mn><mo>+</mo><mn>63</mn><mo>=</mo><mn>90</mn></math>. Thus, the cost for the entire purchase before using the coupon was <math alttext=\"dollar sign 90\"><mo>$</mo><mn>90</mn></math>. It’s given that Nasir bought <math alttext=\"9\"><mn>9</mn>\n</math> storage bins. The original price for <math alttext=\"1\"><mn>1</mn>\n</math> storage bin can be found by dividing the total cost by <math alttext=\"9\"><mn>9</mn>\n</math>. Therefore, the original price, in dollars, for <math alttext=\"1\"><mn>1</mn>\n</math> storage bin is <math alttext=\"StartFraction 90 Over 9 EndFraction\"><mfrac><mn>90</mn><mn>9</mn></mfrac></math>, or <math alttext=\"10\"><mn>10</mn>\n</math>.</p>","correct_answer":["10"],"has_media":false,"has_mathml":true,"has_table":false,"source_created_at":"2023-08-02T20:25:59.807000+00:00","source_updated_at":"2023-08-02T20:25:59.807000+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}}