Question

Of 375 musicians at a high school, some play only in the jazz band, some play only for the marching band, and some do both. If 250 of them play in the jazz band, and 130 play in both, how many of the musicians are in the marching band?

a)110
b)100
c)135
d) 255

Answer 1

Let the number of musicians in the marching band be x, then
250 - 130 + 130 + x - 130 = 375
120 + x = 375
x = 375 - 120 = 255

Therefore, 255 musicians are in the matching band.