There are 80 participants in a competition. The average score of each participant is 61.75. The average score of the male participants is 65 and the average score of the female participants is 61.
- What is the total score of the 80 participants?
- How many male participants are there in the competition?
|
Male |
Female |
Total |
Number |
1 u |
80 - 1 u |
80 |
Value |
65 |
61 |
61.75 |
Total value |
65 u |
4880 - 61 u |
4940 |
(a)
Total score of all the participants
= 80 x 61.75
= 4940
(b)
Total score of male participants
= 1 u x 65
= 65 u
Total score of female participants
= 61(80 - 1 u)
= 4940 - 61 u
Total score of all the participants
= 65 u + 4880 - 61 u
= 4 u + 4880
4 u + 4880 = 4940
4 u = 4940 - 4880
4 u = 60
1 u = 60 ÷ 4 = 15
Number of male participants = 15
Answer(s): (a) 4940; (b) 15