There are 100 participants in a competition. The average score of each participant is 60.2. The average score of the female participants is 65 and the average score of the male participants is 57.
- What is the total score of the 100 participants?
- How many male participants are there in the competition?
|
Female |
Male |
Total |
Number |
1 u |
100 - 1 u |
100 |
Value |
65 |
57 |
60.2 |
Total value |
65 u |
5700 - 57 u |
6020 |
(a)
Total score of all the participants
= 100 x 60.2
= 6020
(b)
Total score of female participants
= 1 u x 65
= 65 u
Total score of male participants
= 57(100 - 1 u)
= 6020 - 57 u
Total score of all the participants
= 65 u + 5700 - 57 u
= 8 u + 5700
8 u + 5700 = 6020
8 u = 6020 - 5700
8 u = 320
1 u = 320 ÷ 8 = 40
Number of male participants
= 1 u - 40
= 100 - 40
= 60
Answer(s): (a) 6020; (b) 60