In an audition of 50 dancers, the average score was 66 points. Given that the average score of the female dancers was 80 points and that of the male dancers was 30 points, find the number of male dancers who participated in the audition.
| |
Female dancers |
Male dancers |
Total |
| Number |
1 u |
50 - 1 u |
50 |
| Value |
80 |
30 |
|
| Total value |
80 u |
1500 - 30 u |
3300 |
Number of female dancers = 1 u
Number of male dancers = 50 - 1 u
Total score of the female dancers
= 1 u x 80
= 80 u
Total score of the male dancers
= 30 x (50 - 1 u)
= 1500 - 30 u
Total score of the dancers
= 80 u + 1500 - 30 u
= 80 u - 30 u + 1500
= 50 u + 1500
Total score of the dancers
= 50 x 66
= 3300
50 u + 1500 = 3300
50 u = 3300 - 1500
50 u = 1800
1 u = 1800 ÷ 50 = 36
Number of male dancers
= 50 - 1 u
= 50 - 36
= 14
Answer(s): 14
