There are 50 participants in a competition. The average score of each participant is 66.8. The average score of the female participants is 70 and the average score of the male participants is 66.
- What is the total score of the 50 participants?
- How many female participants are there in the competition?
|
Female |
Male |
Total |
Number |
1 u |
50 - 1 u |
50 |
Value |
70 |
66 |
66.8 |
Total value |
70 u |
3300 - 66 u |
3340 |
(a)
Total score of all the participants
= 50 x 66.8
= 3340
(b)
Total score of female participants
= 1 u x 70
= 70 u
Total score of male participants
= 66(50 - 1 u)
= 3340 - 66 u
Total score of all the participants
= 70 u + 3300 - 66 u
= 4 u + 3300
4 u + 3300 = 3340
4 u = 3340 - 3300
4 u = 40
1 u = 40 ÷ 4 = 10
Number of female participants = 10
Answer(s): (a) 3340; (b) 10