There are 60 participants in a competition. The average score of each participant is 52.5. The average score of the male participants is 57 and the average score of the female participants is 48.
- What is the total score of the 60 participants?
- How many female participants are there in the competition?
|
Male |
Female |
Total |
Number |
1 u |
60 - 1 u |
60 |
Value |
57 |
48 |
52.5 |
Total value |
57 u |
2880 - 48 u |
3150 |
(a)
Total score of all the participants
= 60 x 52.5
= 3150
(b)
Total score of male participants
= 1 u x 57
= 57 u
Total score of female participants
= 48(60 - 1 u)
= 3150 - 48 u
Total score of all the participants
= 57 u + 2880 - 48 u
= 9 u + 2880
9 u + 2880 = 3150
9 u = 3150 - 2880
9 u = 270
1 u = 270 ÷ 9 = 30
Number of female participants
= 1 u - 30
= 60 - 30
= 30
Answer(s): (a) 3150; (b) 30