Question

1

Of 100 musicians at a high school, some play only in the jazz band, some play only for the marching band, and some do both. If 60
of them play in the jazz band, and 25 play in both, how many of the musicians are only marching band?
A)
25

B)
60
c)
40
D)
35

Answer 1

There are 40 in the marching band

Explanation:

Answer 2

There are 40 musicians that are only marching band.

Explanation:

Since we knot that there are 25 musicians that do both that means there is 60 - 25 = 35 musicians who do only jazz band. From his we can answer the question because....

100 = a + b + c

Where "a" is the number of musicians who go only to jazz, "b" is the number of people who do both, and "c" is the number of people that go only to the marching band. From here we can do this....

100 = a + b + c

c = 100 - a - b

Substitute the value we found outa and get.....

c = 100 - 35 - 25

c = 40