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23 Jan 2025, 12:09
Kudos
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
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100% (03:15) correct
0% (00:00) wrong based on 5 sessions
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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
25 Jan 2025, 11:21
Kudos
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OE
Male athletes are represented by the light gray bars for each sport. Sum the male athletes on each of the separate varsity sports rosters:
Males on Volleyball roster: 0
Males on Track and Field roster: between 36 and 38 (therefore 37)
Males on Tennis roster: between 8 and 10 (therefore 9)
Males on Golf roster: 10
Males on Cross Country roster: between 16 and 18 (therefore 17)
Males on Basketball roster: 14
There are 0 + 37 + 9 + 10 + 17 + 14 = 87 male names on all of the rosters combined, but there are only 76 male athletes total. Since tennis, golf, and basketball players are all on only one roster, there must be 87 – 76 = 11 male athletes who are counted twice, on both the Track and Field team and the Cross Country team. The correct answer is 11.
Male athletes are represented by the light gray bars for each sport. Sum the male athletes on each of the separate varsity sports rosters:
Males on Volleyball roster: 0
Males on Track and Field roster: between 36 and 38 (therefore 37)
Males on Tennis roster: between 8 and 10 (therefore 9)
Males on Golf roster: 10
Males on Cross Country roster: between 16 and 18 (therefore 17)
Males on Basketball roster: 14
There are 0 + 37 + 9 + 10 + 17 + 14 = 87 male names on all of the rosters combined, but there are only 76 male athletes total. Since tennis, golf, and basketball players are all on only one roster, there must be 87 – 76 = 11 male athletes who are counted twice, on both the Track and Field team and the Cross Country team. The correct answer is 11.
