{"id":"cb_practice_pdf:t4-math-m2-q15","source_id":"cb_practice_pdf","source_item_id":"t4-math-m2-q15","external_id":null,"ibn":null,"question_id":null,"program":"SAT","module":"math","domain_code":null,"domain":null,"skill_code":null,"skill":null,"difficulty":null,"score_band":null,"answer_type":"mcq","answer_source":"rationale","layout_warning":null,"form_id":"cb_practice_pdf:test-4","module_number":2,"position":15,"stem":"A proposal for a new library was included on an election ballot. A radio show stated that 3 times as many people voted in favor of the proposal as people who voted against it. A social media post reported that 15,000 more people voted in favor of the proposal than voted against it. Based on these data, how many people voted against the proposal?","stimulus":"","stimulus_html":null,"stem_html":"<p>A proposal for a new library was included on an election ballot. A radio show stated that 3 times as many people voted in favor of the proposal as people who voted against it. A social media post reported that 15,000 more people voted in favor of the proposal than voted against it. Based on these data, how many people voted against the proposal?</p>","rationale_html":"<p>Choice A is correct. It’s given that a radio show stated that 3 times as many people voted in favor of the proposal as people who voted against it. Let x represent the number of people who voted against the proposal. It follows that - 3x is the number of people who voted in favor of the proposal and 3 x , oxr 2x, is how many more people voted in favor of the proposal than voted against it. It’s also given that a social media post reported that 15,000 more people voted in = = favor of the proposal than voted against it. Thus, 2x 15,000. Since 2x 15,000, the value of x must be half of 15,000, or 7,500. Therefore, 7,500 people voted against the proposal. Choice B is incorrect. This is how many more people voted in favor of the proposal than voted against it, not the number of people who voted against the proposal. Choice C is incorrect. This is the number of people who voted in favor of the proposal, not the number of people who voted against the proposal. Choice D is incorrect and may result from conceptual or calculation errors.</p>","correct_answer":["A"],"has_media":false,"has_mathml":false,"has_table":false,"source_created_at":null,"source_updated_at":null,"options":[{"label":"A","content_html":"<p>7,500</p>","ord":0},{"label":"B","content_html":"<p>15,000</p>","ord":1},{"label":"C","content_html":"<p>22,500</p>","ord":2},{"label":"D","content_html":"<p>45,000 -</p>","ord":3}],"attribution":{"source_id":"cb_practice_pdf","source_name":"College Board full-length SAT practice tests (PDF)","rights_holder":"College Board","canonical_url":"https://satsuite.collegeboard.org/practice/practice-tests/paper","retrieved_from":"https://satsuite.collegeboard.org/practice/practice-tests/paper","attribution":"Full-length SAT practice tests 4–11 © College Board, published free at satsuite.collegeboard.org.","disclaimer":"Extracted from PDF layout: equations, figures and tables do not survive intact. Use the original PDFs for anything the text renders poorly. SAT® is a trademark registered by the College Board, which is not affiliated with and does not endorse this project.","license":"College Board copyright. Free to download; not licensed for redistribution.","redistributable":false,"item_count":905}}