PSLE At a walkathon, each participant completed either a 2-km route, a 5-km route or a 8-km route.
16 of the participants completed the 2-km route,
58 of the participants completed the 5-km route and the rest completed the 8-km route. For every 1 km a participant walked, $10 was donated to charity. A total of $14760 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 5-km route to the number who completed the 8-km route?
- What is the total number of participants at the walkathon?
(a)
Fraction of the participants who completed 8-km route
= 1 -
16 -
58 = 1 -
424 -
1524= 1 -
1924 =
524 Ratio of participants who completed the different routes
2 km : 5 km : 8 km
4 : 15 : 5
(b)
For every 1 km a participant walked, $10 was donated to charity.
Total distance covered by the participants
= 14760 ÷ 10
= 1476 km
|
2-km |
5-km |
8-km |
Total |
Number |
4 u |
15 u |
5 u |
24 u |
Value |
2 |
5 |
8 |
|
Total value |
8 u |
75 u |
40 u |
|
Total distance that the participants covered
= 2 x 4 u + 5 x 15 u + 8 x 5 u
= 8 u + 75 u + 40 u
= 123 u
123 u = 1476
1 u = 1476 ÷ 123 = 12
Total number of participants
= 4 u + 15 u + 5 u
= 24 u
= 24 x 12
= 288
Answer(s): (a) 4 : 15 : 5; (b) 288