PSLE At a walkathon, each participant completed either a 1-km route, a 2-km route or a 3-km route.
12 of the participants completed the 1-km route,
613 of the participants completed the 2-km route and the rest completed the 3-km route. For every 1 km a participant walked, $7 was donated to charity. A total of $3080 was donated to charity.
- What is the ratio of the number of participants who completed the 1-km route to the number who completed the 2-km route to the number who completed the 3-km route?
- What is the total number of participants at the walkathon?
(a)
Fraction of the participants who completed 3-km route
= 1 -
12 -
613 = 1 -
1326 -
1226= 1 -
2526 =
126 Ratio of participants who completed the different routes
1 km : 2 km : 3 km
13 : 12 : 1
(b)
For every 1 km a participant walked, $7 was donated to charity.
Total distance covered by the participants
= 3080 ÷ 7
= 440 km
|
1-km |
2-km |
3-km |
Total |
Number |
13 u |
12 u |
1 u |
26 u |
Value |
1 |
2 |
3 |
|
Total value |
13 u |
24 u |
3 u |
|
Total distance that the participants covered
= 1 x 13 u + 2 x 12 u + 3 x 1 u
= 13 u + 24 u + 3 u
= 40 u
40 u = 440
1 u = 440 ÷ 40 = 11
Total number of participants
= 13 u + 12 u + 1 u
= 26 u
= 26 x 11
= 286
Answer(s): (a) 13 : 12 : 1; (b) 286