SAT I 一日一问：2014年6月25日

The correct answer is C

Explanation

To solve this problem, you must realize that some of the 316 dog owners also own cats and some of the 280 cat owners also own dogs. This has to be true because 316 + 280 is more than 416, The question asks how many of the dog owners do not own cats. To solve the problem, first find the number of people who own both a dog and a cat. To do this, let b equal the number who own both a dog and a cat. Then 416 = 316 + 280 minus b. (Note: Adding 316 and 280 counts b twice, so b must be subtracted from the sum to get 416.) Next, the equation 416 = 596 minus b can be solved for b, yielding b = 180. Finally, the number of dog owners who own no cat is 316 minus 180 = 136.

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