{"id":"cb_question_bank:e3aefe15-3733-4213-bf34-a61dde6c6c02","source_id":"cb_question_bank","source_item_id":"e3aefe15-3733-4213-bf34-a61dde6c6c02","external_id":"ee0361d9-4c33-463e-a8a8-6830e04fd051","ibn":null,"question_id":"040f2a84","program":"SAT","module":"math","domain_code":"Q","domain":"Problem-Solving and Data Analysis","skill_code":"Q.B.","skill":"Percentages","difficulty":"H","score_band":7,"answer_type":"spr","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"The regular price of a shirt at a store is dollar sign 11.70 . The sale price of the shirt is 80 percent sign less than the regular price, and the sale price is 30 percent sign greater than the store's cost for the shirt. What was the store’s cost, in dollars, for the shirt? (Disregard the dollar sign sign when entering your answer. For example, if your answer is dollar sign 4.97 , enter 4.97 )","stimulus":"","stimulus_html":null,"stem_html":"<p style=\"text-align: left;\">The regular price of a shirt at a store is <math alttext=\"dollar sign 11.70\"><mo>$</mo><mn>11.70</mn>\n</math>. The sale price of the shirt is <math alttext=\"80 percent sign\"><mn>80</mn>\n<mo>%</mo></math> less than the regular price, and the sale price is <math alttext=\"30 percent sign\"><mn>30</mn>\n<mo>%</mo></math> greater than the store's cost for the shirt. What was the store’s cost, in dollars, for the shirt? (Disregard the <math alttext=\"dollar sign\"><mo>$</mo></math> sign when entering your answer. For example, if your answer is <math alttext=\"dollar sign 4.97\"><mo>$</mo><mn>4.97</mn>\n</math>, enter <math alttext=\"4.97\"><mn>4.97</mn>\n</math>)</p>","rationale_html":"<p style=\"text-align: left;\">The correct answer is <math alttext=\"1.8\"><mn>1.8</mn>\n</math>. It’s given that the regular price of a shirt at a store is <math alttext=\"dollar sign 11.70\"><mo>$</mo><mn>11.70</mn></math>, and the sale price of the shirt is <math alttext=\"80 percent sign\"><mn>80</mn><mo>%</mo></math> less than the regular price. It follows that the sale price of the shirt is <math alttext=\"dollar sign 11.70 left parenthesis 1 minus StartFraction 80 Over 100 EndFraction right parenthesis\"><mo>$</mo><mn>11.70</mn><mfenced><mrow><mn>1</mn><mo>-</mo><mfrac><mn>80</mn><mn>100</mn></mfrac></mrow></mfenced></math>, or <math alttext=\"dollar sign 11.70 left parenthesis 1 minus 0.8 right parenthesis\"><mo>$</mo><mn>11.70</mn><mfenced><mrow><mn>1</mn><mo>-</mo><mn>0.8</mn></mrow></mfenced></math>, which is equivalent to <math alttext=\"dollar sign 2.34\"><mo>$</mo><mn>2.34</mn></math>. It’s also given that the sale price of the shirt is <math alttext=\"30 percent sign\"><mn>30</mn><mo>%</mo></math> greater than the store’s cost for the shirt. Let <math alttext=\"x\"><mi>x</mi>\n</math> represent the store’s cost for the shirt. It follows that <math alttext=\"2.34 equals left parenthesis 1 plus StartFraction 30 Over 100 EndFraction right parenthesis x\"><mn>2.34</mn><mo>=</mo><mfenced><mrow><mn>1</mn><mo>+</mo><mfrac><mn>30</mn><mn>100</mn></mfrac></mrow></mfenced><mi>x</mi></math>, or <math alttext=\"2.34 equals 1.3 x\"><mn>2.34</mn><mo>=</mo><mn>1.3</mn><mi>x</mi></math>. Dividing both sides of this equation by <math alttext=\"1.3\"><mn>1.3</mn>\n</math> yields <math alttext=\"x equals 1.80\"><mi>x</mi><mo>=</mo><mn>1.80</mn></math>. Therefore, the store’s cost, in dollars, for the shirt is <math alttext=\"1.80\"><mn>1.80</mn></math>. Note that 1.8 and 9/5 are examples of ways to enter a correct answer.</p>","correct_answer":["1.8","9/5"],"has_media":false,"has_mathml":true,"has_table":false,"source_created_at":"2023-08-02T20:25:59.831000+00:00","source_updated_at":"2023-08-02T20:25:59.831000+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}}