In an audition of 40 performers, the average score was 48 points. Given that the average score of the female performers was 60 points and that of the male performers was 40 points, find the number of male performers who participated in the audition.
| |
Female performers |
Male performers |
Total |
| Number |
1 u |
40 - 1 u |
40 |
| Value |
60 |
40 |
|
| Total value |
60 u |
1600 - 40 u |
1920 |
Number of female performers = 1 u
Number of male performers = 40 - 1 u
Total score of the female performers
= 1 u x 60
= 60 u
Total score of the male performers
= 40 x (40 - 1 u)
= 1600 - 40 u
Total score of the performers
= 60 u + 1600 - 40 u
= 60 u - 40 u + 1600
= 20 u + 1600
Total score of the performers
= 40 x 48
= 1920
20 u + 1600 = 1920
20 u = 1920 - 1600
20 u = 320
1 u = 320 ÷ 20 = 16
Number of male performers
= 40 - 1 u
= 40 - 16
= 24
Answer(s): 24
