There are 100 participants in a competition. The average score of each participant is 48. The average score of the male participants is 54 and the average score of the female participants is 44.
- What is the total score of the 100 participants?
- How many male participants are there in the competition?
|
Male |
Female |
Total |
Number |
1 u |
100 - 1 u |
100 |
Value |
54 |
44 |
48 |
Total value |
54 u |
4400 - 44 u |
4800 |
(a)
Total score of all the participants
= 100 x 48
= 4800
(b)
Total score of male participants
= 1 u x 54
= 54 u
Total score of female participants
= 44(100 - 1 u)
= 4800 - 44 u
Total score of all the participants
= 54 u + 4400 - 44 u
= 10 u + 4400
10 u + 4400 = 4800
10 u = 4800 - 4400
10 u = 400
1 u = 400 ÷ 10 = 40
Number of male participants = 40
Answer(s): (a) 4800; (b) 40