There are 50 participants in a competition. The average score of each participant is 57.4. The average score of the female participants is 59 and the average score of the male participants is 57.
- What is the total score of the 50 participants?
- How many female participants are there in the competition?
|
Female |
Male |
Total |
Number |
1 u |
50 - 1 u |
50 |
Value |
59 |
57 |
57.4 |
Total value |
59 u |
2850 - 57 u |
2870 |
(a)
Total score of all the participants
= 50 x 57.4
= 2870
(b)
Total score of female participants
= 1 u x 59
= 59 u
Total score of male participants
= 57(50 - 1 u)
= 2870 - 57 u
Total score of all the participants
= 59 u + 2850 - 57 u
= 2 u + 2850
2 u + 2850 = 2870
2 u = 2870 - 2850
2 u = 20
1 u = 20 ÷ 2 = 10
Number of female participants = 10
Answer(s): (a) 2870; (b) 10