Bunuel wrote:

According to a survey of 200 students at a community college, 75 are enrolled in a science course and 52 are enrolled in a sociology course. Of those surveyed, 34 are enrolled in a science course, but not in a sociology course. How many students are enrolled in neither a science course nor a sociology course?

(A) 114

(B) 107

(C) 93

(D) 86

(E) 73

We can use the equation:

Total = science + sociology - both + neither

200 = 75 + 52 - both + neither

Since 34 are enrolled in a science course but not in a sociology course, 75 - 34 = 41 students are enrolled in both courses.

So we have:

200 = 75 + 52 - 41 + n

200 = 86 + n

114 = n

Answer: A

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Scott Woodbury-Stewart

Founder and CEO

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