There are 80 participants in a competition. The average score of each participant is 66. The average score of the male participants is 67 and the average score of the female participants is 65.
- 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 |
67 |
65 |
66 |
Total value |
67 u |
5200 - 65 u |
5280 |
(a)
Total score of all the participants
= 80 x 66
= 5280
(b)
Total score of male participants
= 1 u x 67
= 67 u
Total score of female participants
= 65(80 - 1 u)
= 5280 - 65 u
Total score of all the participants
= 67 u + 5200 - 65 u
= 2 u + 5200
2 u + 5200 = 5280
2 u = 5280 - 5200
2 u = 80
1 u = 80 ÷ 2 = 40
Number of male participants = 40
Answer(s): (a) 5280; (b) 40