There are 60 participants in a competition. The average score of each participant is 64.5. The average score of the female participants is 69 and the average score of the male participants is 60.
- What is the total score of the 60 participants?
- How many female participants are there in the competition?
|
Female |
Male |
Total |
Number |
1 u |
60 - 1 u |
60 |
Value |
69 |
60 |
64.5 |
Total value |
69 u |
3600 - 60 u |
3870 |
(a)
Total score of all the participants
= 60 x 64.5
= 3870
(b)
Total score of female participants
= 1 u x 69
= 69 u
Total score of male participants
= 60(60 - 1 u)
= 3870 - 60 u
Total score of all the participants
= 69 u + 3600 - 60 u
= 9 u + 3600
9 u + 3600 = 3870
9 u = 3870 - 3600
9 u = 270
1 u = 270 ÷ 9 = 30
Number of female participants = 30
Answer(s): (a) 3870; (b) 30