There are 100 participants in a competition. The average score of each participant is 56.9. The average score of the female participants is 59 and the average score of the male participants is 56.
- 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 |
59 |
56 |
56.9 |
Total value |
59 u |
5600 - 56 u |
5690 |
(a)
Total score of all the participants
= 100 x 56.9
= 5690
(b)
Total score of female participants
= 1 u x 59
= 59 u
Total score of male participants
= 56(100 - 1 u)
= 5690 - 56 u
Total score of all the participants
= 59 u + 5600 - 56 u
= 3 u + 5600
3 u + 5600 = 5690
3 u = 5690 - 5600
3 u = 90
1 u = 90 ÷ 3 = 30
Number of female participants = 30
Answer(s): (a) 5690; (b) 30