PSLE At a walkathon, each participant completed either a 2-km route, a 5-km route or a 8-km route.
12 of the participants completed the 2-km route,
413 of the participants completed the 5-km route and the rest completed the 8-km route. For every 1 km a participant walked, $7 was donated to charity. A total of $8904 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 -
12 -
413 = 1 -
1326 -
826= 1 -
2126 =
526 Ratio of participants who completed the different routes
2 km : 5 km : 8 km
13 : 8 : 5
(b)
For every 1 km a participant walked, $7 was donated to charity.
Total distance covered by the participants
= 8904 ÷ 7
= 1272 km
|
2-km |
5-km |
8-km |
Total |
Number |
13 u |
8 u |
5 u |
26 u |
Value |
2 |
5 |
8 |
|
Total value |
26 u |
40 u |
40 u |
|
Total distance that the participants covered
= 2 x 13 u + 5 x 8 u + 8 x 5 u
= 26 u + 40 u + 40 u
= 106 u
106 u = 1272
1 u = 1272 ÷ 106 = 12
Total number of participants
= 13 u + 8 u + 5 u
= 26 u
= 26 x 12
= 312
Answer(s): (a) 13 : 8 : 5; (b) 312