There are 100 participants in a competition. The average score of each participant is 52. The average score of the male participants is 58 and the average score of the female participants is 50.
- What is the total score of the 100 participants?
- How many male participants are there in the competition?
|
Male |
Female |
Total |
Number |
1 u |
100 - 1 u |
100 |
Value |
58 |
50 |
52 |
Total value |
58 u |
5000 - 50 u |
5200 |
(a)
Total score of all the participants
= 100 x 52
= 5200
(b)
Total score of male participants
= 1 u x 58
= 58 u
Total score of female participants
= 50(100 - 1 u)
= 5200 - 50 u
Total score of all the participants
= 58 u + 5000 - 50 u
= 8 u + 5000
8 u + 5000 = 5200
8 u = 5200 - 5000
8 u = 200
1 u = 200 ÷ 8 = 25
Number of male participants = 25
Answer(s): (a) 5200; (b) 25