PSLE At a walkathon, each participant completed either a 2-km route, a 4-km route or a 7-km route.
13 of the participants completed the 2-km route,
35 of the participants completed the 4-km route and the rest completed the 7-km route. For every 1 km a participant walked, $6 was donated to charity. A total of $5406 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 7-km route?
- What is the total number of participants at the walkathon?
(a)
Fraction of the participants who completed 7-km route
= 1 -
13 -
35 = 1 -
515 -
915= 1 -
1415 =
115 Ratio of participants who completed the different routes
2 km : 4 km : 7 km
5 : 9 : 1
(b)
For every 1 km a participant walked, $6 was donated to charity.
Total distance covered by the participants
= 5406 ÷ 6
= 901 km
|
2-km |
4-km |
7-km |
Total |
Number |
5 u |
9 u |
1 u |
15 u |
Value |
2 |
4 |
7 |
|
Total value |
10 u |
36 u |
7 u |
|
Total distance that the participants covered
= 2 x 5 u + 4 x 9 u + 7 x 1 u
= 10 u + 36 u + 7 u
= 53 u
53 u = 901
1 u = 901 ÷ 53 = 17
Total number of participants
= 5 u + 9 u + 1 u
= 15 u
= 15 x 17
= 255
Answer(s): (a) 5 : 9 : 1; (b) 255