There are 50 participants in a competition. The average score of each participant is 52.8. The average score of the male participants is 54 and the average score of the female participants is 48.
- 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 |
54 |
48 |
52.8 |
Total value |
54 u |
2400 - 48 u |
2640 |
(a)
Total score of all the participants
= 50 x 52.8
= 2640
(b)
Total score of male participants
= 1 u x 54
= 54 u
Total score of female participants
= 48(50 - 1 u)
= 2640 - 48 u
Total score of all the participants
= 54 u + 2400 - 48 u
= 6 u + 2400
6 u + 2400 = 2640
6 u = 2640 - 2400
6 u = 240
1 u = 240 ÷ 6 = 40
Number of female participants
= 1 u - 40
= 50 - 40
= 10
Answer(s): (a) 2640; (b) 10