{"id":"cb_question_bank:df996eee-d452-48c7-8ac8-3efa6578383d","source_id":"cb_question_bank","source_item_id":"df996eee-d452-48c7-8ac8-3efa6578383d","external_id":null,"ibn":"06902-DC","question_id":"46f68129","program":"SAT","module":"math","domain_code":"H","domain":"Algebra","skill_code":"H.A.","skill":"Linear equations in one variable","difficulty":"E","score_band":1,"answer_type":"mcq","answer_source":"rationale","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"A librarian has 43 books to distribute to a group of children. If he gives each child 2 books, he will have 7 books left over. How many children are in the group?","stimulus":"","stimulus_html":null,"stem_html":"<p class=\"stem_paragraph \">A librarian has 43 books to distribute to a group of children. If he gives each child 2 books, he will have 7&nbsp;books left over. How many children are in the group?</p>\n","rationale_html":"<p>Choice B is correct. Subtracting the number of books left over from the total number of books results in <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/8d55daf620440d7ce69ce5bea2b55ebbc358c7988b1cd6979cb6fcabce33306f\" alt=\"43 minus 7, equals 36\"></span>, which is the number of books distributed. Dividing the number of books distributed by the number of books given to each child results in <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/e57d05ca9bf06ad1548048c6bdccd0331c4d757a155d14a124248a34dd7fce5a\" alt=\"the fraction 36 over 2, equals 18\"></span>.</p><p>Choice A is incorrect and results from dividing the total number of books by the number of books given to each child, <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/dcd3d976273923f3883c10913641e7c97181b2a0dd5ce0a7e85879b3d43d3109\" alt=\"the fraction 43 over 2, is approximately equal to 22\"></span>, then subtracting the number of books left over from the result, <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/609bb5879307face55a1e729f2a9c024b047a6ffc58f926bdf1dfa784b498f60\" alt=\"22 minus 7, equals 15\"></span>. Choice C is incorrect and results from adding the number of books left over to the total number of books, <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/ee3fc223b35f3254dac8357962a97556d35ba6de1dfe181637a582e68c6fe96b\" alt=\"43 plus 7, equals 50\"></span>, then dividing the result by the number of books given to each child, <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/aab148c3aa072929455491825d8bdecc314c4f61325784c17130f931283ff96e\" alt=\"the fraction 50 over 2, equals 25\"></span>. Choice D is incorrect and results from dividing the total number of books by the number of books given to each child, <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/dcd3d976273923f3883c10913641e7c97181b2a0dd5ce0a7e85879b3d43d3109\" alt=\"the fraction 43 over 2, is approximately equal to 22\"></span>, then adding the number of books left over, <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/e9ae82a578253419ed72230903650d466662956d79b05c30b4dcc41075631ac8\" alt=\"22 plus 7, equals 29\"></span>.</p><p></p>\n","correct_answer":["B"],"has_media":true,"has_mathml":false,"has_table":false,"source_created_at":"2023-08-02T20:25:59.630000+00:00","source_updated_at":"2023-08-02T20:25:59.630000+00:00","options":[{"label":"A","content_html":"<p class=\"choice_paragraph \">15</p>\n","ord":0},{"label":"B","content_html":"<p class=\"choice_paragraph \">18</p>\n","ord":1},{"label":"C","content_html":"<p class=\"choice_paragraph \">25</p>\n","ord":2},{"label":"D","content_html":"<p class=\"choice_paragraph \">29</p>\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}}