There are 50 participants in a competition. The average score of each participant is 48.8. The average score of the male participants is 53 and the average score of the female participants is 47.
- 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 |
53 |
47 |
48.8 |
Total value |
53 u |
2350 - 47 u |
2440 |
(a)
Total score of all the participants
= 50 x 48.8
= 2440
(b)
Total score of male participants
= 1 u x 53
= 53 u
Total score of female participants
= 47(50 - 1 u)
= 2440 - 47 u
Total score of all the participants
= 53 u + 2350 - 47 u
= 6 u + 2350
6 u + 2350 = 2440
6 u = 2440 - 2350
6 u = 90
1 u = 90 ÷ 6 = 15
Number of female participants
= 1 u - 15
= 50 - 15
= 35
Answer(s): (a) 2440; (b) 35