There are 60 participants in a competition. The average score of each participant is 51. The average score of the male participants is 56 and the average score of the female participants is 46.
- What is the total score of the 60 participants?
- How many male participants are there in the competition?
|
Male |
Female |
Total |
Number |
1 u |
60 - 1 u |
60 |
Value |
56 |
46 |
51 |
Total value |
56 u |
2760 - 46 u |
3060 |
(a)
Total score of all the participants
= 60 x 51
= 3060
(b)
Total score of male participants
= 1 u x 56
= 56 u
Total score of female participants
= 46(60 - 1 u)
= 3060 - 46 u
Total score of all the participants
= 56 u + 2760 - 46 u
= 10 u + 2760
10 u + 2760 = 3060
10 u = 3060 - 2760
10 u = 300
1 u = 300 ÷ 10 = 30
Number of male participants = 30
Answer(s): (a) 3060; (b) 30