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In a group of 80 students, each person is ether a freshman, a basebal
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26 Oct 2021, 11:20
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In a group of 80 students, each person is either a freshman, a baseball player, or both. If 25 students are not freshmen, and 38 students are not baseball players, how many students are baseball players who are not freshmen?
Re: In a group of 80 students, each person is ether a freshman, a basebal
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27 Oct 2021, 05:41
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GreenlightTestPrep wrote:
In a group of 80 students, each person is either a freshman, a baseball player, or both. If 25 students are not freshmen, and 38 students are not baseball players, how many students are baseball players who are not freshmen?
A) 13 B) 17 C) 25 D) 29 E) 38
I created this question to serve as a fool me once question, since I find that some students don't spot the hidden clue in the words "or both" If every student is either a freshman, a baseball player, OR BOTH, then this means there are ZERO students who are neither freshman nor baseball players.
So, if you're applying the overlapping sets formula Group 1 + Group 2 - Both + Neither = Total, then you now know that NEITHER = 0
Alternatively, if you're using the Double Matrix approach, you can now add a zero to the bottom-right box to get this ...
And, from here the remaining boxes are easy to complete...
.... We can see the correct answer is C
Here's a video lesson on the Double Matrix method: