There are 50 participants in a competition. The average score of each participant is 58.2. The average score of the male participants is 61 and the average score of the female participants is 57.
- 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 |
61 |
57 |
58.2 |
Total value |
61 u |
2850 - 57 u |
2910 |
(a)
Total score of all the participants
= 50 x 58.2
= 2910
(b)
Total score of male participants
= 1 u x 61
= 61 u
Total score of female participants
= 57(50 - 1 u)
= 2910 - 57 u
Total score of all the participants
= 61 u + 2850 - 57 u
= 4 u + 2850
4 u + 2850 = 2910
4 u = 2910 - 2850
4 u = 60
1 u = 60 ÷ 4 = 15
Number of female participants
= 1 u - 15
= 50 - 15
= 35
Answer(s): (a) 2910; (b) 35