There are 100 participants in a competition. The average score of each participant is 57.4. The average score of the female participants is 60 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 |
60 |
56 |
57.4 |
Total value |
60 u |
5600 - 56 u |
5740 |
(a)
Total score of all the participants
= 100 x 57.4
= 5740
(b)
Total score of female participants
= 1 u x 60
= 60 u
Total score of male participants
= 56(100 - 1 u)
= 5740 - 56 u
Total score of all the participants
= 60 u + 5600 - 56 u
= 4 u + 5600
4 u + 5600 = 5740
4 u = 5740 - 5600
4 u = 140
1 u = 140 ÷ 4 = 35
Number of female participants = 35
Answer(s): (a) 5740; (b) 35