There are 80 participants in a competition. The average score of each participant is 59.75. The average score of the female participants is 63 and the average score of the male participants is 59.
- What is the total score of the 80 participants?
- How many male participants are there in the competition?
|
Female |
Male |
Total |
Number |
1 u |
80 - 1 u |
80 |
Value |
63 |
59 |
59.75 |
Total value |
63 u |
4720 - 59 u |
4780 |
(a)
Total score of all the participants
= 80 x 59.75
= 4780
(b)
Total score of female participants
= 1 u x 63
= 63 u
Total score of male participants
= 59(80 - 1 u)
= 4780 - 59 u
Total score of all the participants
= 63 u + 4720 - 59 u
= 4 u + 4720
4 u + 4720 = 4780
4 u = 4780 - 4720
4 u = 60
1 u = 60 ÷ 4 = 15
Number of male participants
= 1 u - 15
= 80 - 15
= 65
Answer(s): (a) 4780; (b) 65