There are 100 participants in a competition. The average score of each participant is 52.8. The average score of the male participants is 56 and the average score of the female participants is 52.
- What is the total score of the 100 participants?
- How many female participants are there in the competition?
|
Male |
Female |
Total |
Number |
1 u |
100 - 1 u |
100 |
Value |
56 |
52 |
52.8 |
Total value |
56 u |
5200 - 52 u |
5280 |
(a)
Total score of all the participants
= 100 x 52.8
= 5280
(b)
Total score of male participants
= 1 u x 56
= 56 u
Total score of female participants
= 52(100 - 1 u)
= 5280 - 52 u
Total score of all the participants
= 56 u + 5200 - 52 u
= 4 u + 5200
4 u + 5200 = 5280
4 u = 5280 - 5200
4 u = 80
1 u = 80 ÷ 4 = 20
Number of female participants
= 1 u - 20
= 100 - 20
= 80
Answer(s): (a) 5280; (b) 80