Both Finance and Accounting (Overlapping Sets)

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In a school, 180 students study finance or accounting or both. If 60 of these students do not study finance, how many of these students study both finance and accounting?

(1) Of the 180 students, 36 do not study accounting.

(2) A total of 144 students study accounting.

Review: Both Finance and Accounting (Overlapping Sets)




Explanation

This looks like an overlapping sets question of two sets, so we'll try to use the equation . We know that . If 60 of the students do not study finance, then of the students do study finance. We can call that G1. So we have



and we are asked to find B. Actually, we also have the fact that , since we are told the students "study finance or accounting or both." Therefore, we have



And all we need to solve is G2.On to the statements! Separately first.

Statement (1) allows us to infer the value of . Sufficient.

Statement (2) is effectively identical to Statement (1), so we can conclude that it is sufficient.

The correct answer is (D).


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