PSLE At a walkathon, each participant completed either a 3-km route, a 5-km route or a 6-km route.
13 of the participants completed the 3-km route,
12 of the participants completed the 5-km route and the rest completed the 6-km route. For every 1 km a participant walked, $5 was donated to charity. A total of $1485 was donated to charity.
- What is the ratio of the number of participants who completed the 3-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 -
13 -
12 = 1 -
26 -
36= 1 -
56 =
16 Ratio of participants who completed the different routes
3 km : 5 km : 6 km
2 : 3 : 1
(b)
For every 1 km a participant walked, $5 was donated to charity.
Total distance covered by the participants
= 1485 ÷ 5
= 297 km
|
3-km |
5-km |
6-km |
Total |
Number |
2 u |
3 u |
1 u |
6 u |
Value |
3 |
5 |
6 |
|
Total value |
6 u |
15 u |
6 u |
|
Total distance that the participants covered
= 3 x 2 u + 5 x 3 u + 6 x 1 u
= 6 u + 15 u + 6 u
= 27 u
27 u = 297
1 u = 297 ÷ 27 = 11
Total number of participants
= 2 u + 3 u + 1 u
= 6 u
= 6 x 11
= 66
Answer(s): (a) 2 : 3 : 1; (b) 66