SSAT Math Question 341: Answer and Explanation

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Question: 341

10. In a survey, each of 600 students was found to own either a dog, a cat, or both. If 500 of these students own a dog and 500 of these students own a cat, how many students own both a dog and a cat?

A. 200
B. 250
C. 300
D. 350

Correct Answer: E

Explanation:

The answer is E

If 500 people own a dog and 500 people own a cat, that would mean there are 1,000 people. However, there are only 600 people, which means 400 of those people were counted twice.

It is useful to use the following formula in these types of questions: G₁ + G₂ + N - B = T. This stands for Group 1 + Group 2 + Neither - Both = Total. Here, as there is no N, the completed formula is 500 + 500 - B = 1,000. Solve for B: 400.

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