PSLE At a walkathon, each participant completed either a 2-km route, a 4-km route or a 6-km route.
13 of the participants completed the 2-km route,
718 of the participants completed the 4-km route and the rest completed the 6-km route. For every 1 km a participant walked, $10 was donated to charity. A total of $8400 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 4-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 -
13 -
718 = 1 -
618 -
718= 1 -
1318 =
518 Ratio of participants who completed the different routes
2 km : 4 km : 6 km
6 : 7 : 5
(b)
For every 1 km a participant walked, $10 was donated to charity.
Total distance covered by the participants
= 8400 ÷ 10
= 840 km
|
2-km |
4-km |
6-km |
Total |
Number |
6 u |
7 u |
5 u |
18 u |
Value |
2 |
4 |
6 |
|
Total value |
12 u |
28 u |
30 u |
|
Total distance that the participants covered
= 2 x 6 u + 4 x 7 u + 6 x 5 u
= 12 u + 28 u + 30 u
= 70 u
70 u = 840
1 u = 840 ÷ 70 = 12
Total number of participants
= 6 u + 7 u + 5 u
= 18 u
= 18 x 12
= 216
Answer(s): (a) 6 : 7 : 5; (b) 216