There are 50 participants in a competition. The average score of each participant is 47.2. The average score of the male participants is 52 and the average score of the female participants is 46.
- What is the total score of the 50 participants?
- How many male participants are there in the competition?
|
Male |
Female |
Total |
Number |
1 u |
50 - 1 u |
50 |
Value |
52 |
46 |
47.2 |
Total value |
52 u |
2300 - 46 u |
2360 |
(a)
Total score of all the participants
= 50 x 47.2
= 2360
(b)
Total score of male participants
= 1 u x 52
= 52 u
Total score of female participants
= 46(50 - 1 u)
= 2360 - 46 u
Total score of all the participants
= 52 u + 2300 - 46 u
= 6 u + 2300
6 u + 2300 = 2360
6 u = 2360 - 2300
6 u = 60
1 u = 60 ÷ 6 = 10
Number of male participants = 10
Answer(s): (a) 2360; (b) 10