There are 50 participants in a competition. The average score of each participant is 63.5. The average score of the female participants is 67 and the average score of the male participants is 60.
- 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 |
67 |
60 |
63.5 |
| Total value |
67 u |
3000 - 60 u |
3175 |
(a)
Total score of all the participants
= 50 x 63.5
= 3175
(b)
Total score of female participants
= 1 u x 67
= 67 u
Total score of male participants
= 60(50 - 1 u)
= 3175 - 60 u
Total score of all the participants
= 67 u + 3000 - 60 u
= 7 u + 3000
7 u + 3000 = 3175
7 u = 3175 - 3000
7 u = 175
1 u = 175 ÷ 7 = 25
Number of male participants
= 1 u - 25
= 50 - 25
= 25
Answer(s): (a) 3175; (b) 25
