There are 100 participants in a competition. The average score of each participant is 49.15. The average score of the male participants is 55 and the average score of the female participants is 46.
- 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 |
55 |
46 |
49.15 |
Total value |
55 u |
4600 - 46 u |
4915 |
(a)
Total score of all the participants
= 100 x 49.15
= 4915
(b)
Total score of male participants
= 1 u x 55
= 55 u
Total score of female participants
= 46(100 - 1 u)
= 4915 - 46 u
Total score of all the participants
= 55 u + 4600 - 46 u
= 9 u + 4600
9 u + 4600 = 4915
9 u = 4915 - 4600
9 u = 315
1 u = 315 ÷ 9 = 35
Number of male participants = 35
Answer(s): (a) 4915; (b) 35