Raises Granted

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If 1,200 employees, males and females, requested a raise, how many requests were granted?

(1) of the males and of the females had their request granted.

(2) 200 of the requests made by males were granted.

Review: Raises Granted




Explanation

We have a lot of people requesting a raise here. Simple question: how many were granted? On to the data statement, separately first.

Statement (1) gives us the rate requested by male and by female, but we don't know the overall gender ratio. Out of the 1,200, they could be 10% female or 90% female, with different outcomes in those different cases. So Statement (1) is insufficient.

Statement (2) suffers from the same logical problem as Statement (1) and contains even less information. So it's insufficient.

Combining them, we may have something. We know most about the males. Together, we know that of requests by males were granted and that this proportion equals 200. So,



And



That means that we can get the number of female requests, and from that we can determine the number of female requests granted. Adding the male requests granted and female requests granted will give us the total granted, which is what we are looking for. So the statements are sufficient together.

The correct answer is (C).


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