There are 100 participants in a competition. The average score of each participant is 54.8. The average score of the female participants is 58 and the average score of the male participants is 54.
- What is the total score of the 100 participants?
- How many male participants are there in the competition?
|
Female |
Male |
Total |
Number |
1 u |
100 - 1 u |
100 |
Value |
58 |
54 |
54.8 |
Total value |
58 u |
5400 - 54 u |
5480 |
(a)
Total score of all the participants
= 100 x 54.8
= 5480
(b)
Total score of female participants
= 1 u x 58
= 58 u
Total score of male participants
= 54(100 - 1 u)
= 5480 - 54 u
Total score of all the participants
= 58 u + 5400 - 54 u
= 4 u + 5400
4 u + 5400 = 5480
4 u = 5480 - 5400
4 u = 80
1 u = 80 ÷ 4 = 20
Number of male participants
= 1 u - 20
= 100 - 20
= 80
Answer(s): (a) 5480; (b) 80