Out of 22 girls that tried out for the school sports teams, 11 tried out for volleyball, 5 tried out for both volleyball and basketball, and two tried out for neither of these two sports. The number of girls who tried out for only basketball is

a) 4
b) 5
c) 8
d) 9
e) 10

1 answer

2 are out of the picture so work with the 20 who tried out.
11 - 5 = 6 tried out for only volleyball
so of the 20
6 did only volleyball
5 did both
20 - 6 - 5 = 9