PSLE At a walkathon, each participant completed either a 2-km route, a 4-km route or a 5-km route.
14 of the participants completed the 2-km route,
38 of the participants completed the 4-km route and the rest completed the 5-km route. For every 1 km a participant walked, $8 was donated to charity. A total of $3968 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 5-km route?
- What is the total number of participants at the walkathon?
(a)
Fraction of the participants who completed 5-km route
= 1 -
14 -
38 = 1 -
28 -
38= 1 -
58 =
38 Ratio of participants who completed the different routes
2 km : 4 km : 5 km
2 : 3 : 3
(b)
For every 1 km a participant walked, $8 was donated to charity.
Total distance covered by the participants
= 3968 ÷ 8
= 496 km
|
2-km |
4-km |
5-km |
Total |
Number |
2 u |
3 u |
3 u |
8 u |
Value |
2 |
4 |
5 |
|
Total value |
4 u |
12 u |
15 u |
|
Total distance that the participants covered
= 2 x 2 u + 4 x 3 u + 5 x 3 u
= 4 u + 12 u + 15 u
= 31 u
31 u = 496
1 u = 496 ÷ 31 = 16
Total number of participants
= 2 u + 3 u + 3 u
= 8 u
= 8 x 16
= 128
Answer(s): (a) 2 : 3 : 3; (b) 128