There are 50 participants in a competition. The average score of each participant is 58.4. The average score of the male participants is 64 and the average score of the female participants is 56.
- 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 |
64 |
56 |
58.4 |
| Total value |
64 u |
2800 - 56 u |
2920 |
(a)
Total score of all the participants
= 50 x 58.4
= 2920
(b)
Total score of male participants
= 1 u x 64
= 64 u
Total score of female participants
= 56(50 - 1 u)
= 2920 - 56 u
Total score of all the participants
= 64 u + 2800 - 56 u
= 8 u + 2800
8 u + 2800 = 2920
8 u = 2920 - 2800
8 u = 120
1 u = 120 ÷ 8 = 15
Number of female participants
= 1 u - 15
= 50 - 15
= 35
Answer(s): (a) 2920; (b) 35
