PSLE At a walkathon, each participant completed either a 1-km route, a 2-km route or a 4-km route.
14 of the participants completed the 1-km route,
47 of the participants completed the 2-km route and the rest completed the 4-km route. For every 1 km a participant walked, $8 was donated to charity. A total of $6608 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 2-km route to the number who completed the 4-km route?
- What is the total number of participants at the walkathon?
(a)
Fraction of the participants who completed 4-km route
= 1 -
14 -
47 = 1 -
728 -
1628= 1 -
2328 =
528 Ratio of participants who completed the different routes
1 km : 2 km : 4 km
7 : 16 : 5
(b)
For every 1 km a participant walked, $8 was donated to charity.
Total distance covered by the participants
= 6608 ÷ 8
= 826 km
|
1-km |
2-km |
4-km |
Total |
Number |
7 u |
16 u |
5 u |
28 u |
Value |
1 |
2 |
4 |
|
Total value |
7 u |
32 u |
20 u |
|
Total distance that the participants covered
= 1 x 7 u + 2 x 16 u + 4 x 5 u
= 7 u + 32 u + 20 u
= 59 u
59 u = 826
1 u = 826 ÷ 59 = 14
Total number of participants
= 7 u + 16 u + 5 u
= 28 u
= 28 x 14
= 392
Answer(s): (a) 7 : 16 : 5; (b) 392