PSLE At a walkathon, each participant completed either a 3-km route, a 5-km route or a 6-km route.
14 of the participants completed the 3-km route,
35 of the participants completed the 5-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 $8835 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 5-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 -
14 -
35 = 1 -
520 -
1220= 1 -
1720 =
320 Ratio of participants who completed the different routes
3 km : 5 km : 6 km
5 : 12 : 3
(b)
For every 1 km a participant walked, $5 was donated to charity.
Total distance covered by the participants
= 8835 ÷ 5
= 1767 km
|
3-km |
5-km |
6-km |
Total |
Number |
5 u |
12 u |
3 u |
20 u |
Value |
3 |
5 |
6 |
|
Total value |
15 u |
60 u |
18 u |
|
Total distance that the participants covered
= 3 x 5 u + 5 x 12 u + 6 x 3 u
= 15 u + 60 u + 18 u
= 93 u
93 u = 1767
1 u = 1767 ÷ 93 = 19
Total number of participants
= 5 u + 12 u + 3 u
= 20 u
= 20 x 19
= 380
Answer(s): (a) 5 : 12 : 3; (b) 380