Question

There are 250 students taking either band or chorus. If there are 180 students taking band and 60 students in both band and chorus, how many students are only in chorus? 10

Answer 1

There are 70 students only in chorus.

Explanation:

Total number of students is 250

Out of 250, 180 students took band.

And 60 took band and chorus, i.e this is the intersection of the 2 groups.

The Venn diagram is attached below.

So, the number of students who took only band = 180-60 = 120

Total number of students or sum of the 3 regions is 250.

So, the number of students who took only chorus = 250-180 = 70