PSLE At a walkathon, each participant completed either a 3-km route, a 6-km route or a 9-km route.
13 of the participants completed the 3-km route,
59 of the participants completed the 6-km route and the rest completed the 9-km route. For every 1 km a participant walked, $9 was donated to charity. A total of $5616 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 6-km route to the number who completed the 9-km route?
- What is the total number of participants at the walkathon?
(a)
Fraction of the participants who completed 9-km route
= 1 -
13 -
59 = 1 -
39 -
59= 1 -
89 =
19 Ratio of participants who completed the different routes
3 km : 6 km : 9 km
3 : 5 : 1
(b)
For every 1 km a participant walked, $9 was donated to charity.
Total distance covered by the participants
= 5616 ÷ 9
= 624 km
|
3-km |
6-km |
9-km |
Total |
Number |
3 u |
5 u |
1 u |
9 u |
Value |
3 |
6 |
9 |
|
Total value |
9 u |
30 u |
9 u |
|
Total distance that the participants covered
= 3 x 3 u + 6 x 5 u + 9 x 1 u
= 9 u + 30 u + 9 u
= 48 u
48 u = 624
1 u = 624 ÷ 48 = 13
Total number of participants
= 3 u + 5 u + 1 u
= 9 u
= 9 x 13
= 117
Answer(s): (a) 3 : 5 : 1; (b) 117