PSLE At a walkathon, each participant completed either a 1-km route, a 2-km route or a 5-km route.
14 of the participants completed the 1-km route,
58 of the participants completed the 2-km route and the rest completed the 5-km route. For every 1 km a participant walked, $5 was donated to charity. A total of $935 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 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 -
58 = 1 -
28 -
58= 1 -
78 =
18 Ratio of participants who completed the different routes
1 km : 2 km : 5 km
2 : 5 : 1
(b)
For every 1 km a participant walked, $5 was donated to charity.
Total distance covered by the participants
= 935 ÷ 5
= 187 km
|
1-km |
2-km |
5-km |
Total |
Number |
2 u |
5 u |
1 u |
8 u |
Value |
1 |
2 |
5 |
|
Total value |
2 u |
10 u |
5 u |
|
Total distance that the participants covered
= 1 x 2 u + 2 x 5 u + 5 x 1 u
= 2 u + 10 u + 5 u
= 17 u
17 u = 187
1 u = 187 ÷ 17 = 11
Total number of participants
= 2 u + 5 u + 1 u
= 8 u
= 8 x 11
= 88
Answer(s): (a) 2 : 5 : 1; (b) 88