There are 100 participants in a competition. The average score of each participant is 52.45. The average score of the male participants is 57 and the average score of the female participants is 50.
- 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 |
57 |
50 |
52.45 |
Total value |
57 u |
5000 - 50 u |
5245 |
(a)
Total score of all the participants
= 100 x 52.45
= 5245
(b)
Total score of male participants
= 1 u x 57
= 57 u
Total score of female participants
= 50(100 - 1 u)
= 5245 - 50 u
Total score of all the participants
= 57 u + 5000 - 50 u
= 7 u + 5000
7 u + 5000 = 5245
7 u = 5245 - 5000
7 u = 245
1 u = 245 ÷ 7 = 35
Number of female participants
= 1 u - 35
= 100 - 35
= 65
Answer(s): (a) 5245; (b) 65