In an audition of 30 performers, the average score was 66 points. Given that the average score of the female performers was 80 points and that of the male performers was 50 points, find the number of male performers who participated in the audition.
| |
Female performers |
Male performers |
Total |
| Number |
1 u |
30 - 1 u |
30 |
| Value |
80 |
50 |
|
| Total value |
80 u |
1500 - 50 u |
1980 |
Number of female performers = 1 u
Number of male performers = 30 - 1 u
Total score of the female performers
= 1 u x 80
= 80 u
Total score of the male performers
= 50 x (30 - 1 u)
= 1500 - 50 u
Total score of the performers
= 80 u + 1500 - 50 u
= 80 u - 50 u + 1500
= 30 u + 1500
Total score of the performers
= 30 x 66
= 1980
30 u + 1500 = 1980
30 u = 1980 - 1500
30 u = 480
1 u = 480 ÷ 30 = 16
Number of male performers
= 30 - 1 u
= 30 - 16
= 14
Answer(s): 14
