{"id":"cb_practice_pdf:t5-math-m2-q12","source_id":"cb_practice_pdf","source_item_id":"t5-math-m2-q12","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-5","module_number":2,"position":12,"stem":"At a movie theater, there are a total of 350 customers. Each customer is located in either theater A, theater B, or theater C. If one of these customers is selected at random, the probability of selecting a customer who is located in theater A is 0.48, and the probability of selecting a customer who is located in theater B is 0.24. How many customers are located in theater C?","stimulus":"","stimulus_html":null,"stem_html":"<p>At a movie theater, there are a total of 350 customers. Each customer is located in either theater A, theater B, or theater C. If one of these customers is selected at random, the probability of selecting a customer who is located in theater A is 0.48, and the probability of selecting a customer who is located in theater B is 0.24. How many customers are located in theater C?</p>","rationale_html":"<p>350 Choice D is correct. It’s given that at a movie theater, there are a total of customers and that each customer is located in either theater A, theater B, or 0.48 theater C. If the probability of selecting a customer in theater A is , then 0.48 350 168 ^ h^ h, or , customers are located in theater A. If the probability of 0.24 0.24 350 84 selecting a customer in theater B is , then ^ h^ h, or , customers are 168+84 252 located in theater B. It follows that there are , or , customers in 350-252 98 theater A and theater B. Therefore, there are , or , customers in theater C. Choice A is incorrect. This is the percent, not the number, of the customers that are located in theater C. Choice B is incorrect and may result from conceptual or calculation errors. Choice C is incorrect. This is the number of customers that are located in theater B, not theater C.</p>","correct_answer":["D"],"has_media":false,"has_mathml":false,"has_table":false,"source_created_at":null,"source_updated_at":null,"options":[{"label":"A","content_html":"<p>28</p>","ord":0},{"label":"B","content_html":"<p>40</p>","ord":1},{"label":"C","content_html":"<p>84</p>","ord":2},{"label":"D","content_html":"<p>98</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}}