PSLE At a walkathon, each participant completed either a 3-km route, a 6-km route or a 8-km route.
13 of the participants completed the 3-km route,
15 of the participants completed the 6-km route and the rest completed the 8-km route. For every 1 km a participant walked, $8 was donated to charity. A total of $13528 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 8-km route?
- What is the total number of participants at the walkathon?
(a)
Fraction of the participants who completed 8-km route
= 1 -
13 -
15 = 1 -
515 -
315= 1 -
815 =
715 Ratio of participants who completed the different routes
3 km : 6 km : 8 km
5 : 3 : 7
(b)
For every 1 km a participant walked, $8 was donated to charity.
Total distance covered by the participants
= 13528 ÷ 8
= 1691 km
|
3-km |
6-km |
8-km |
Total |
Number |
5 u |
3 u |
7 u |
15 u |
Value |
3 |
6 |
8 |
|
Total value |
15 u |
18 u |
56 u |
|
Total distance that the participants covered
= 3 x 5 u + 6 x 3 u + 8 x 7 u
= 15 u + 18 u + 56 u
= 89 u
89 u = 1691
1 u = 1691 ÷ 89 = 19
Total number of participants
= 5 u + 3 u + 7 u
= 15 u
= 15 x 19
= 285
Answer(s): (a) 5 : 3 : 7; (b) 285