There are 60 participants in a competition. The average score of each participant is 63.25. The average score of the female participants is 70 and the average score of the male participants is 61.
- What is the total score of the 60 participants?
- How many male participants are there in the competition?
| |
Female |
Male |
Total |
| Number |
1 u |
60 - 1 u |
60 |
| Value |
70 |
61 |
63.25 |
| Total value |
70 u |
3660 - 61 u |
3795 |
(a)
Total score of all the participants
= 60 x 63.25
= 3795
(b)
Total score of female participants
= 1 u x 70
= 70 u
Total score of male participants
= 61(60 - 1 u)
= 3795 - 61 u
Total score of all the participants
= 70 u + 3660 - 61 u
= 9 u + 3660
9 u + 3660 = 3795
9 u = 3795 - 3660
9 u = 135
1 u = 135 ÷ 9 = 15
Number of male participants
= 1 u - 15
= 60 - 15
= 45
Answer(s): (a) 3795; (b) 45
