PSLE At a walkathon, each participant completed either a 2-km route, a 3-km route or a 6-km route.
13 of the participants completed the 2-km route,
59 of the participants completed the 3-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 $3780 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 3-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 -
59 = 1 -
39 -
59= 1 -
89 =
19 Ratio of participants who completed the different routes
2 km : 3 km : 6 km
3 : 5 : 1
(b)
For every 1 km a participant walked, $10 was donated to charity.
Total distance covered by the participants
= 3780 ÷ 10
= 378 km
|
2-km |
3-km |
6-km |
Total |
Number |
3 u |
5 u |
1 u |
9 u |
Value |
2 |
3 |
6 |
|
Total value |
6 u |
15 u |
6 u |
|
Total distance that the participants covered
= 2 x 3 u + 3 x 5 u + 6 x 1 u
= 6 u + 15 u + 6 u
= 27 u
27 u = 378
1 u = 378 ÷ 27 = 14
Total number of participants
= 3 u + 5 u + 1 u
= 9 u
= 9 x 14
= 126
Answer(s): (a) 3 : 5 : 1; (b) 126