PSLE At a walkathon, each participant completed either a 1-km route, a 3-km route or a 5-km route.
12 of the participants completed the 1-km route,
514 of the participants completed the 3-km route and the rest completed the 5-km route. For every 1 km a participant walked, $6 was donated to charity. A total of $3456 was donated to charity.
- What is the ratio of the number of participants who completed the 1-km route to the number who completed the 3-km route to the number who completed the 5-km route?
- What is the total number of participants at the walkathon?
(a)
Fraction of the participants who completed 5-km route
= 1 -
12 -
514 = 1 -
714 -
514= 1 -
1214 =
214 Ratio of participants who completed the different routes
1 km : 3 km : 5 km
7 : 5 : 2
(b)
For every 1 km a participant walked, $6 was donated to charity.
Total distance covered by the participants
= 3456 ÷ 6
= 576 km
|
1-km |
3-km |
5-km |
Total |
Number |
7 u |
5 u |
2 u |
14 u |
Value |
1 |
3 |
5 |
|
Total value |
7 u |
15 u |
10 u |
|
Total distance that the participants covered
= 1 x 7 u + 3 x 5 u + 5 x 2 u
= 7 u + 15 u + 10 u
= 32 u
32 u = 576
1 u = 576 ÷ 32 = 18
Total number of participants
= 7 u + 5 u + 2 u
= 14 u
= 14 x 18
= 252
Answer(s): (a) 7 : 5 : 2; (b) 252