There are 100 participants in a competition. The average score of each participant is 63.9. The average score of the female participants is 66 and the average score of the male participants is 63.
- What is the total score of the 100 participants?
- How many female participants are there in the competition?
|
Female |
Male |
Total |
Number |
1 u |
100 - 1 u |
100 |
Value |
66 |
63 |
63.9 |
Total value |
66 u |
6300 - 63 u |
6390 |
(a)
Total score of all the participants
= 100 x 63.9
= 6390
(b)
Total score of female participants
= 1 u x 66
= 66 u
Total score of male participants
= 63(100 - 1 u)
= 6390 - 63 u
Total score of all the participants
= 66 u + 6300 - 63 u
= 3 u + 6300
3 u + 6300 = 6390
3 u = 6390 - 6300
3 u = 90
1 u = 90 ÷ 3 = 30
Number of female participants = 30
Answer(s): (a) 6390; (b) 30