In an audition of 25 performers, the average score was 62 points. Given that the average score of the female performers was 70 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 |
25 - 1 u |
25 |
| Value |
70 |
50 |
|
| Total value |
70 u |
1250 - 50 u |
1550 |
Number of female performers = 1 u
Number of male performers = 25 - 1 u
Total score of the female performers
= 1 u x 70
= 70 u
Total score of the male performers
= 50 x (25 - 1 u)
= 1250 - 50 u
Total score of the performers
= 70 u + 1250 - 50 u
= 70 u - 50 u + 1250
= 20 u + 1250
Total score of the performers
= 25 x 62
= 1550
20 u + 1250 = 1550
20 u = 1550 - 1250
20 u = 300
1 u = 300 ÷ 20 = 15
Number of male performers
= 25 - 1 u
= 25 - 15
= 10
Answer(s): 10
