There are 90 participants in a competition. The average score of each participant is 63. The average score of the female participants is 68 and the average score of the male participants is 59.
- What is the total score of the 90 participants?
- How many male participants are there in the competition?
| |
Female |
Male |
Total |
| Number |
1 u |
90 - 1 u |
90 |
| Value |
68 |
59 |
63 |
| Total value |
68 u |
5310 - 59 u |
5670 |
(a)
Total score of all the participants
= 90 x 63
= 5670
(b)
Total score of female participants
= 1 u x 68
= 68 u
Total score of male participants
= 59(90 - 1 u)
= 5670 - 59 u
Total score of all the participants
= 68 u + 5310 - 59 u
= 9 u + 5310
9 u + 5310 = 5670
9 u = 5670 - 5310
9 u = 360
1 u = 360 ÷ 9 = 40
Number of male participants
= 1 u - 40
= 90 - 40
= 50
Answer(s): (a) 5670; (b) 50
