PSLE At a walkathon, each participant completed either a 2-km route, a 5-km route or a 6-km route.
12 of the participants completed the 2-km route,
518 of the participants completed the 5-km route and the rest completed the 6-km route. For every 1 km a participant walked, $8 was donated to charity. A total of $6432 was donated to charity.
- What is the ratio of the number of participants who completed the 2-km route to the number who completed the 5-km route to the number who completed the 6-km route?
- What is the total number of participants at the walkathon?
(a)
Fraction of the participants who completed 6-km route
= 1 -
12 -
518 = 1 -
918 -
518= 1 -
1418 =
418 Ratio of participants who completed the different routes
2 km : 5 km : 6 km
9 : 5 : 4
(b)
For every 1 km a participant walked, $8 was donated to charity.
Total distance covered by the participants
= 6432 ÷ 8
= 804 km
|
2-km |
5-km |
6-km |
Total |
Number |
9 u |
5 u |
4 u |
18 u |
Value |
2 |
5 |
6 |
|
Total value |
18 u |
25 u |
24 u |
|
Total distance that the participants covered
= 2 x 9 u + 5 x 5 u + 6 x 4 u
= 18 u + 25 u + 24 u
= 67 u
67 u = 804
1 u = 804 ÷ 67 = 12
Total number of participants
= 9 u + 5 u + 4 u
= 18 u
= 18 x 12
= 216
Answer(s): (a) 9 : 5 : 4; (b) 216