PSLE At a walkathon, each participant completed either a 2-km route, a 5-km route or a 8-km route.
23 of the participants completed the 2-km route,
518 of the participants completed the 5-km route and the rest completed the 8-km route. For every 1 km a participant walked, $9 was donated to charity. A total of $6156 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 8-km route?
- What is the total number of participants at the walkathon?
(a)
Fraction of the participants who completed 8-km route
= 1 -
23 -
518 = 1 -
1218 -
518= 1 -
1718 =
118 Ratio of participants who completed the different routes
2 km : 5 km : 8 km
12 : 5 : 1
(b)
For every 1 km a participant walked, $9 was donated to charity.
Total distance covered by the participants
= 6156 ÷ 9
= 684 km
|
2-km |
5-km |
8-km |
Total |
Number |
12 u |
5 u |
1 u |
18 u |
Value |
2 |
5 |
8 |
|
Total value |
24 u |
25 u |
8 u |
|
Total distance that the participants covered
= 2 x 12 u + 5 x 5 u + 8 x 1 u
= 24 u + 25 u + 8 u
= 57 u
57 u = 684
1 u = 684 ÷ 57 = 12
Total number of participants
= 12 u + 5 u + 1 u
= 18 u
= 18 x 12
= 216
Answer(s): (a) 12 : 5 : 1; (b) 216