There are 100 participants in a competition. The average score of each participant is 59.2. The average score of the female participants is 61 and the average score of the male participants is 59.
- 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 |
61 |
59 |
59.2 |
Total value |
61 u |
5900 - 59 u |
5920 |
(a)
Total score of all the participants
= 100 x 59.2
= 5920
(b)
Total score of female participants
= 1 u x 61
= 61 u
Total score of male participants
= 59(100 - 1 u)
= 5920 - 59 u
Total score of all the participants
= 61 u + 5900 - 59 u
= 2 u + 5900
2 u + 5900 = 5920
2 u = 5920 - 5900
2 u = 20
1 u = 20 ÷ 2 = 10
Number of male participants
= 1 u - 10
= 100 - 10
= 90
Answer(s): (a) 5920; (b) 90