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All athletes are on only one varsity sports roster EXCEPT th

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sandy
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All athletes are on only one varsity sports roster EXCEPT th [#permalink] New post   10 Oct 2018, 19:24
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All athletes are on only one varsity sports roster EXCEPT those who are on both the Track and Field team and the Cross Country team. If there are 76 male athletes in total on the varsity sports rosters, how many male athletes are on both the Track and Field team and the Cross Country team?

(A) 11
(B) 17
(C) 37
(D) 54
(E) 76
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Re: All athletes are on only one varsity sports roster EXCEPT th [#permalink] New post   20 Apr 2020, 06:06
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sandy wrote:
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All athletes are on only one varsity sports roster EXCEPT those who are on both the Track and Field team and the Cross Country team. If there are 76 male athletes in total on the varsity sports rosters, how many male athletes are on both the Track and Field team and the Cross Country team?

(A) 11
(B) 17
(C) 37
(D) 54
(E) 76


Here,
Total male athletes on the varsity sports rosters as per the fig: = 0 + 37 + 9 + 10 + 17 + 14 = 87 male

But,there are only 76 male athletes total.

hence, there are = 87 - 76 = 11 male athletes who are counted twice
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Re: All athletes are on only one varsity sports roster EXCEPT th [#permalink] New post   22 Nov 2024, 00:25
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