{"id":"cb_question_bank:2bdce850-ca35-4d06-b3d3-214d7034503b","source_id":"cb_question_bank","source_item_id":"2bdce850-ca35-4d06-b3d3-214d7034503b","external_id":null,"ibn":"025553-DC","question_id":"b23bba4c","program":"SAT","module":"math","domain_code":"H","domain":"Algebra","skill_code":"H.C.","skill":"Linear equations in two variables","difficulty":"E","score_band":1,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"A shipping company charged a customer $25 to ship some small boxes and some large boxes. The equation above represents the relationship between a , the number of small boxes, and b , the number of large boxes, the customer had shipped. If the customer had 3 small boxes shipped, how many large boxes were shipped?","stimulus":"3 a plus 4 b, equals 25","stimulus_html":"<div class=\"stimulus_reference \">\n        <p class=\"standalone_statement style:1 \">\n          <span class=\"math_expression \">\n            <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/75ebe0f8741eeeb219c69a16460e38a1d1bef229aba5fe6daf58a3b315ece030\" alt=\"3 a plus 4 b, equals 25\"></span></span>\n        </p>\n      </div>\n","stem_html":"<p class=\"stem_paragraph \">A shipping company charged a customer $25 to ship some small boxes and some large boxes. The equation above represents the relationship between <span class=\"italic\">a</span>, the number of small boxes, and <span class=\"italic\">b</span>, the number of large boxes, the customer had shipped. If the customer had 3 small boxes shipped, how many large boxes were shipped?</p>\n","rationale_html":"<p>Choice B is correct. It’s given that <span class=\"italic\">a</span> represents the number of small boxes and <span class=\"italic\">b</span> represents the number of large boxes the customer had shipped. If the customer had 3 small boxes shipped, then <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/4dccbcb6dfce3304e5bdb9a1b60490e06701da77ca8670467d6d7ddcc307a882\" alt=\"a, equals 3\"></span>. Substituting 3 for <span class=\"italic\">a</span> in the equation <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/75ebe0f8741eeeb219c69a16460e38a1d1bef229aba5fe6daf58a3b315ece030\" alt=\"3 a, plus 4 b, equals 25\"></span> yields <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/315a466d662422e56da37baa38b38b64a4199945924e96b42c05d07e73a17967\" alt=\"3 times 3, plus 4 b, equals 25\"></span> or <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/e7e544e04e48b7ea1a295f17e1e8adbd508a2124abb7a63dcd12f8d7761a3a28\" alt=\"9 plus 4 b, equals 25\"></span>. Subtracting 9 from both sides of the equation yields <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/b43046c4a7fe4744f5cfea10c23343d34a0b3c1bdfaa41b9718e3eda92c5f358\" alt=\"4 b equals 16\"></span>. Dividing both sides of this equation by 4 yields <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/b02a2759ca9b08a9fcebf050ff7910b4388068d8bd17f6a556f9cd3d26eddf2b\" alt=\"b equals 4\"></span>. Therefore, the customer had 4 large boxes shipped.</p><p>Choices A, C, and D are incorrect. If the number of large boxes shipped is 3, then <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/815f2555f3430bc04271b955789f6b6d783109aab1757dfb0c9eaa8c9c258038\" alt=\"b equals 3\"></span>. Substituting 3 for <span class=\"italic\">b</span> in the given equation yields <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/6e098242c983d44af4e20971f250c65391eb4c65848ae022ffa0c04d5df9242a\" alt=\"3 a, plus, 4 times 3, equals 25\"></span> or <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/7b935cd09796f62adf0e1f2ae430e94723c0e7eb944502625eaeb526cd588907\" alt=\"3 a, plus 12, equals 25\"></span>. Subtracting 12 from both sides of the equation and then dividing by 3 yields <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/1b9e8c4524c2de4db267192393a8c3055c2abf09a15923ed5705c4eaa20a4918\" alt=\"a, equals thirteen thirds\"></span>. However, it’s given that the number of small boxes shipped, <span class=\"italic\">a</span>, is 3, not <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/bf2d161d9fea05e9e453a648d709acdbb3b6438157d6ab95a992ce83bca7f813\" alt=\"thirteen thirds\"></span>, so <span class=\"italic\">b</span> cannot equal 3. Similarly, if <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/70bcc5029fa8429202856178a8f15b635fd9bd8c2d07442b86f0932b9655d401\" alt=\"b equals 5\"></span> or <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/4b04b642b9e39e58667e0a0bf8e16d7eeda8cca2d3dfdbdc737044046f4514af\" alt=\"b equals 6\"></span>, then <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/755d354b27ef0e58ce5b6ccc7af77eda9124c52f4c32810427e3fce4549a91b4\" alt=\"a, equals five thirds\"></span> or <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/7caae0a8a2a3190ec9b5283e56f1a16e2a1f20f000e0b19ae40a0b319ff018f8\" alt=\"a, equals one third\"></span>, respectively, which is also not true.</p><p></p>\n","correct_answer":["B"],"has_media":true,"has_mathml":false,"has_table":false,"source_created_at":"2023-08-02T20:25:59.619000+00:00","source_updated_at":"2023-08-02T20:25:59.619000+00:00","options":[{"label":"A","content_html":"<p class=\"choice_paragraph \">3</p>\n","ord":0},{"label":"B","content_html":"<p class=\"choice_paragraph \">4</p>\n","ord":1},{"label":"C","content_html":"<p class=\"choice_paragraph \">5</p>\n","ord":2},{"label":"D","content_html":"<p class=\"choice_paragraph \">6</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}}