There are 100 participants in a competition. The average score of each participant is 51.8. The average score of the male participants is 53 and the average score of the female participants is 51.
- 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 |
53 |
51 |
51.8 |
Total value |
53 u |
5100 - 51 u |
5180 |
(a)
Total score of all the participants
= 100 x 51.8
= 5180
(b)
Total score of male participants
= 1 u x 53
= 53 u
Total score of female participants
= 51(100 - 1 u)
= 5180 - 51 u
Total score of all the participants
= 53 u + 5100 - 51 u
= 2 u + 5100
2 u + 5100 = 5180
2 u = 5180 - 5100
2 u = 80
1 u = 80 ÷ 2 = 40
Number of female participants
= 1 u - 40
= 100 - 40
= 60
Answer(s): (a) 5180; (b) 60