PSLE At a walkathon, each participant completed either a 2-km route, a 4-km route or a 6-km route.
12 of the participants completed the 2-km route,
516 of the participants completed the 4-km route and the rest completed the 6-km route. For every 1 km a participant walked, $6 was donated to charity. A total of $3564 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 -
12 -
516 = 1 -
816 -
516= 1 -
1316 =
316 Ratio of participants who completed the different routes
2 km : 4 km : 6 km
8 : 5 : 3
(b)
For every 1 km a participant walked, $6 was donated to charity.
Total distance covered by the participants
= 3564 ÷ 6
= 594 km
|
2-km |
4-km |
6-km |
Total |
Number |
8 u |
5 u |
3 u |
16 u |
Value |
2 |
4 |
6 |
|
Total value |
16 u |
20 u |
18 u |
|
Total distance that the participants covered
= 2 x 8 u + 4 x 5 u + 6 x 3 u
= 16 u + 20 u + 18 u
= 54 u
54 u = 594
1 u = 594 ÷ 54 = 11
Total number of participants
= 8 u + 5 u + 3 u
= 16 u
= 16 x 11
= 176
Answer(s): (a) 8 : 5 : 3; (b) 176