Explanation
Correct answer: D.
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 theater C. If the probability of selecting a customer in theater A is , then , or , customers are located in theater A. If the probability of selecting a customer in theater B is , then , or , customers are located in theater B. It follows that there are , or , customers in theater A and theater B. Therefore, there are , or , customers in theater C.
Desmos solution:
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Reviewed and rewritten by CookSAT
Why the other choices are wrong
Choice A
Choice A is incorrect. This is the percent, not the number, of the customers that are located in theater C.
Choice B
Choice B is incorrect and may result from conceptual or calculation errors.
Choice C
Choice C is incorrect. This is the number of customers that are located in theater B, not theater C.