PSLE At a walkathon, each participant completed either a 3-km route, a 4-km route or a 6-km route.
25 of the participants completed the 3-km route,
13 of the participants completed the 4-km route and the rest completed the 6-km route. For every 1 km a participant walked, $5 was donated to charity. A total of $5580 was donated to charity.
- What is the ratio of the number of participants who completed the 3-km route to the number who completed the 4-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 -
25 -
13 = 1 -
615 -
515= 1 -
1115 =
415 Ratio of participants who completed the different routes
3 km : 4 km : 6 km
6 : 5 : 4
(b)
For every 1 km a participant walked, $5 was donated to charity.
Total distance covered by the participants
= 5580 ÷ 5
= 1116 km
|
3-km |
4-km |
6-km |
Total |
Number |
6 u |
5 u |
4 u |
15 u |
Value |
3 |
4 |
6 |
|
Total value |
18 u |
20 u |
24 u |
|
Total distance that the participants covered
= 3 x 6 u + 4 x 5 u + 6 x 4 u
= 18 u + 20 u + 24 u
= 62 u
62 u = 1116
1 u = 1116 ÷ 62 = 18
Total number of participants
= 6 u + 5 u + 4 u
= 15 u
= 15 x 18
= 270
Answer(s): (a) 6 : 5 : 4; (b) 270