{"id":"cb_question_bank:1987da32-b3cc-4447-8cd0-66753b708611","source_id":"cb_question_bank","source_item_id":"1987da32-b3cc-4447-8cd0-66753b708611","external_id":"d88daa3d-713d-4905-8fc3-540215e519e9","ibn":null,"question_id":"312ba47c","program":"SAT","module":"math","domain_code":"Q","domain":"Problem-Solving and Data Analysis","skill_code":"Q.A.","skill":"Ratios, rates, proportional relationships, and units","difficulty":"E","score_band":1,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"In a box of pens, the ratio of black pens to red pens is 8 to 1 . There are 40 black pens in the box. How many red pens are in the box?","stimulus":"","stimulus_html":null,"stem_html":"<p style=\"text-align: left;\">In a box of pens, the ratio of black pens to red pens is <math alttext=\"8\"><mn>8</mn>\n</math> to <math alttext=\"1\"><mn>1</mn>\n</math>. There are <math alttext=\"40\"><mn>40</mn>\n</math> black pens in the box. How many red pens are in the box?</p>","rationale_html":"<p style=\"text-align: left;\">Choice A is correct. It’s given that the ratio of black pens to red pens is <math alttext=\"8\"><mn>8</mn>\n</math> to <math alttext=\"1\"><mn>1</mn>\n</math>. Therefore, there are <math alttext=\"one eighth\"><mfrac><mn>1</mn><mn>8</mn></mfrac></math> as many red pens as black pens in the box. It’s also given that there are <math alttext=\"40\"><mn>40</mn>\n</math> black pens in the box. Therefore, the number of red pens is&nbsp;<math alttext=\"one eighth\"><mfrac><mn>1</mn><mn>8</mn></mfrac></math> of the <math alttext=\"40\"><mn>40</mn>\n</math> black pens. Thus, the number of red pens is <math alttext=\"40 left parenthesis one eighth right parenthesis\"><mn>40</mn><mfenced><mfrac><mn>1</mn><mn>8</mn></mfrac></mfenced></math>, or <math alttext=\"5\"><mn>5</mn>\n</math>.</p>\n<p style=\"text-align: left;\">Choice B is incorrect. This is the number of black pens in the box for every red pen.</p>\n<p style=\"text-align: left;\">Choice C is incorrect. This is the number of black pens in the box.</p>\n<p style=\"text-align: left;\">Choice D is incorrect. This is the number of red pens in the box if the ratio of black pens to red pens is <math alttext=\"1\"><mn>1</mn>\n</math> to <math alttext=\"8\"><mn>8</mn>\n</math>.</p>","correct_answer":["A"],"has_media":false,"has_mathml":true,"has_table":false,"source_created_at":"2023-08-02T20:25:59.829000+00:00","source_updated_at":"2023-08-02T20:25:59.829000+00:00","options":[{"label":"A","content_html":"<p><math alttext=\"5\"><mn>5</mn>\n</math></p>","ord":0},{"label":"B","content_html":"<p><math alttext=\"8\"><mn>8</mn>\n</math></p>","ord":1},{"label":"C","content_html":"<p><math alttext=\"40\"><mn>40</mn>\n</math></p>","ord":2},{"label":"D","content_html":"<p><math alttext=\"320\"><mn>320</mn>\n</math></p>","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}}