PSLE At a walkathon, each participant completed either a 3-km route, a 5-km route or a 8-km route.
12 of the participants completed the 3-km route,
411 of the participants completed the 5-km route and the rest completed the 8-km route. For every 1 km a participant walked, $9 was donated to charity. A total of $11349 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 8-km route?
- What is the total number of participants at the walkathon?
(a)
Fraction of the participants who completed 8-km route
= 1 -
12 -
411 = 1 -
1122 -
822= 1 -
1922 =
322 Ratio of participants who completed the different routes
3 km : 5 km : 8 km
11 : 8 : 3
(b)
For every 1 km a participant walked, $9 was donated to charity.
Total distance covered by the participants
= 11349 ÷ 9
= 1261 km
|
3-km |
5-km |
8-km |
Total |
Number |
11 u |
8 u |
3 u |
22 u |
Value |
3 |
5 |
8 |
|
Total value |
33 u |
40 u |
24 u |
|
Total distance that the participants covered
= 3 x 11 u + 5 x 8 u + 8 x 3 u
= 33 u + 40 u + 24 u
= 97 u
97 u = 1261
1 u = 1261 ÷ 97 = 13
Total number of participants
= 11 u + 8 u + 3 u
= 22 u
= 22 x 13
= 286
Answer(s): (a) 11 : 8 : 3; (b) 286