There are 100 participants in a competition. The average score of each participant is 49.4. The average score of the male participants is 52 and the average score of the female participants is 48.
- 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 |
52 |
48 |
49.4 |
Total value |
52 u |
4800 - 48 u |
4940 |
(a)
Total score of all the participants
= 100 x 49.4
= 4940
(b)
Total score of male participants
= 1 u x 52
= 52 u
Total score of female participants
= 48(100 - 1 u)
= 4940 - 48 u
Total score of all the participants
= 52 u + 4800 - 48 u
= 4 u + 4800
4 u + 4800 = 4940
4 u = 4940 - 4800
4 u = 140
1 u = 140 ÷ 4 = 35
Number of female participants
= 1 u - 35
= 100 - 35
= 65
Answer(s): (a) 4940; (b) 65