There are 80 participants in a competition. The average score of each participant is 52.25. The average score of the male participants is 56 and the average score of the female participants is 50.
- What is the total score of the 80 participants?
- How many male participants are there in the competition?
|
Male |
Female |
Total |
Number |
1 u |
80 - 1 u |
80 |
Value |
56 |
50 |
52.25 |
Total value |
56 u |
4000 - 50 u |
4180 |
(a)
Total score of all the participants
= 80 x 52.25
= 4180
(b)
Total score of male participants
= 1 u x 56
= 56 u
Total score of female participants
= 50(80 - 1 u)
= 4180 - 50 u
Total score of all the participants
= 56 u + 4000 - 50 u
= 6 u + 4000
6 u + 4000 = 4180
6 u = 4180 - 4000
6 u = 180
1 u = 180 ÷ 6 = 30
Number of male participants = 30
Answer(s): (a) 4180; (b) 30