There are 80 participants in a competition. The average score of each participant is 50.25. The average score of the male participants is 57 and the average score of the female participants is 48.
- What is the total score of the 80 participants?
- How many female participants are there in the competition?
|
Male |
Female |
Total |
Number |
1 u |
80 - 1 u |
80 |
Value |
57 |
48 |
50.25 |
Total value |
57 u |
3840 - 48 u |
4020 |
(a)
Total score of all the participants
= 80 x 50.25
= 4020
(b)
Total score of male participants
= 1 u x 57
= 57 u
Total score of female participants
= 48(80 - 1 u)
= 4020 - 48 u
Total score of all the participants
= 57 u + 3840 - 48 u
= 9 u + 3840
9 u + 3840 = 4020
9 u = 4020 - 3840
9 u = 180
1 u = 180 ÷ 9 = 20
Number of female participants
= 1 u - 20
= 80 - 20
= 60
Answer(s): (a) 4020; (b) 60