There are 50 participants in a competition. The average score of each participant is 50.5. The average score of the male participants is 52 and the average score of the female participants is 49.
- What is the total score of the 50 participants?
- How many female participants are there in the competition?
|
Male |
Female |
Total |
Number |
1 u |
50 - 1 u |
50 |
Value |
52 |
49 |
50.5 |
Total value |
52 u |
2450 - 49 u |
2525 |
(a)
Total score of all the participants
= 50 x 50.5
= 2525
(b)
Total score of male participants
= 1 u x 52
= 52 u
Total score of female participants
= 49(50 - 1 u)
= 2525 - 49 u
Total score of all the participants
= 52 u + 2450 - 49 u
= 3 u + 2450
3 u + 2450 = 2525
3 u = 2525 - 2450
3 u = 75
1 u = 75 ÷ 3 = 25
Number of female participants
= 1 u - 25
= 50 - 25
= 25
Answer(s): (a) 2525; (b) 25