There are 50 participants in a competition. The average score of each participant is 62.4. The average score of the female participants is 66 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 |
66 |
57 |
62.4 |
Total value |
66 u |
2850 - 57 u |
3120 |
(a)
Total score of all the participants
= 50 x 62.4
= 3120
(b)
Total score of female participants
= 1 u x 66
= 66 u
Total score of male participants
= 57(50 - 1 u)
= 3120 - 57 u
Total score of all the participants
= 66 u + 2850 - 57 u
= 9 u + 2850
9 u + 2850 = 3120
9 u = 3120 - 2850
9 u = 270
1 u = 270 ÷ 9 = 30
Number of female participants = 30
Answer(s): (a) 3120; (b) 30