There are 100 participants in a competition. The average score of each participant is 61.2. The average score of the male participants is 66 and the average score of the female participants is 60.
- 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 |
66 |
60 |
61.2 |
Total value |
66 u |
6000 - 60 u |
6120 |
(a)
Total score of all the participants
= 100 x 61.2
= 6120
(b)
Total score of male participants
= 1 u x 66
= 66 u
Total score of female participants
= 60(100 - 1 u)
= 6120 - 60 u
Total score of all the participants
= 66 u + 6000 - 60 u
= 6 u + 6000
6 u + 6000 = 6120
6 u = 6120 - 6000
6 u = 120
1 u = 120 ÷ 6 = 20
Number of female participants
= 1 u - 20
= 100 - 20
= 80
Answer(s): (a) 6120; (b) 80