There are 60 participants in a competition. The average score of each participant is 54. The average score of the male participants is 60 and the average score of the female participants is 51.
- What is the total score of the 60 participants?
- How many female participants are there in the competition?
| |
Male |
Female |
Total |
| Number |
1 u |
60 - 1 u |
60 |
| Value |
60 |
51 |
54 |
| Total value |
60 u |
3060 - 51 u |
3240 |
(a)
Total score of all the participants
= 60 x 54
= 3240
(b)
Total score of male participants
= 1 u x 60
= 60 u
Total score of female participants
= 51(60 - 1 u)
= 3240 - 51 u
Total score of all the participants
= 60 u + 3060 - 51 u
= 9 u + 3060
9 u + 3060 = 3240
9 u = 3240 - 3060
9 u = 180
1 u = 180 ÷ 9 = 20
Number of female participants
= 1 u - 20
= 60 - 20
= 40
Answer(s): (a) 3240; (b) 40
