Question

40% of the 300-member sophomore class is in the band. The percussion section is made up of 5% of these band members. How many of the sophomore class band members make up the percussion section?

A. 5
B. 6
C. 9
D. 15

Answer 1

40% of 300 = 0.40(300) = 120 are in the band
5% of 120 = 0.05(120) = 6 are in percussion

Answer 2

B. 6

Explanation:

The percussion section is a subset of the class band which is a subset of the sophomore class.

Given;

40% of the 300-member sophomore class is in the band. The percussion section is made up of 5% of these band members.

Number of members of sophomore class in band = 40% × 300

= 120

Percussion section members = 5% × 120

= 6 members