SSAT Math Question 379: Answer and Explanation

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Question: 379

7. A survey found that each of 400 people has a smart phone, a tablet, or both. If 350 of these people have smart phones, and 150 have tablets, how many people have both a smart phone and a tablet?

A. 50
B. 100
C. 150
D. 200

Correct Answer: B

Explanation:

If 350 people have smart phones and 150 people have tablets, that would mean there are 500 people. However, there are only 400 people, which means 100 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 350 + 150 – B = 400. Solve for B: 100.

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