There are 100 participants in a competition. The average score of each participant is 58.5. The average score of the male participants is 63 and the average score of the female participants is 57.
- What is the total score of the 100 participants?
- How many male participants are there in the competition?
|
Male |
Female |
Total |
Number |
1 u |
100 - 1 u |
100 |
Value |
63 |
57 |
58.5 |
Total value |
63 u |
5700 - 57 u |
5850 |
(a)
Total score of all the participants
= 100 x 58.5
= 5850
(b)
Total score of male participants
= 1 u x 63
= 63 u
Total score of female participants
= 57(100 - 1 u)
= 5850 - 57 u
Total score of all the participants
= 63 u + 5700 - 57 u
= 6 u + 5700
6 u + 5700 = 5850
6 u = 5850 - 5700
6 u = 150
1 u = 150 ÷ 6 = 25
Number of male participants = 25
Answer(s): (a) 5850; (b) 25