There are 50 participants in a competition. The average score of each participant is 56.5. The average score of the female participants is 58 and the average score of the male participants is 53.
- What is the total score of the 50 participants?
- How many male participants are there in the competition?
|
Female |
Male |
Total |
Number |
1 u |
50 - 1 u |
50 |
Value |
58 |
53 |
56.5 |
Total value |
58 u |
2650 - 53 u |
2825 |
(a)
Total score of all the participants
= 50 x 56.5
= 2825
(b)
Total score of female participants
= 1 u x 58
= 58 u
Total score of male participants
= 53(50 - 1 u)
= 2825 - 53 u
Total score of all the participants
= 58 u + 2650 - 53 u
= 5 u + 2650
5 u + 2650 = 2825
5 u = 2825 - 2650
5 u = 175
1 u = 175 ÷ 5 = 35
Number of male participants
= 1 u - 35
= 50 - 35
= 15
Answer(s): (a) 2825; (b) 15