There are 70 participants in a competition. The average score of each participant is 58. The average score of the male participants is 63 and the average score of the female participants is 56.
- What is the total score of the 70 participants?
- How many female participants are there in the competition?
| |
Male |
Female |
Total |
| Number |
1 u |
70 - 1 u |
70 |
| Value |
63 |
56 |
58 |
| Total value |
63 u |
3920 - 56 u |
4060 |
(a)
Total score of all the participants
= 70 x 58
= 4060
(b)
Total score of male participants
= 1 u x 63
= 63 u
Total score of female participants
= 56(70 - 1 u)
= 4060 - 56 u
Total score of all the participants
= 63 u + 3920 - 56 u
= 7 u + 3920
7 u + 3920 = 4060
7 u = 4060 - 3920
7 u = 140
1 u = 140 ÷ 7 = 20
Number of female participants
= 1 u - 20
= 70 - 20
= 50
Answer(s): (a) 4060; (b) 50
