SOLUTION: On the Leapwell gymnastics team, 14 gymnasts compete on the balance beam, 12 compete on the uneven bars, and 9 compete on both the balance beam and the uneven bars. If 37 gymnasts

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Question 600383: On the Leapwell gymnastics team, 14 gymnasts compete on the balance beam, 12 compete on the uneven bars, and 9 compete on both the balance beam and the uneven bars. If 37 gymnasts compete on neither the balance beam nor the uneven bars, how many gymnasts are on the Leapwell team?
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


If 9 are both BB and UB, then of 12 UB, 3 of them are only UB. Likewise of 14 BB, 5 of them are only BB. In summary

37 neither, 9 both, 3 UB only, 5 BB only: Total 54.

John

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