There are 70 participants in a competition. The average score of each participant is 66. The average score of the male participants is 67 and the average score of the female participants is 65.
- What is the total score of the 70 participants?
- How many male participants are there in the competition?
|
Male |
Female |
Total |
Number |
1 u |
70 - 1 u |
70 |
Value |
67 |
65 |
66 |
Total value |
67 u |
4550 - 65 u |
4620 |
(a)
Total score of all the participants
= 70 x 66
= 4620
(b)
Total score of male participants
= 1 u x 67
= 67 u
Total score of female participants
= 65(70 - 1 u)
= 4620 - 65 u
Total score of all the participants
= 67 u + 4550 - 65 u
= 2 u + 4550
2 u + 4550 = 4620
2 u = 4620 - 4550
2 u = 70
1 u = 70 ÷ 2 = 35
Number of male participants = 35
Answer(s): (a) 4620; (b) 35