PSLE At a walkathon, each participant completed either a 1-km route, a 4-km route or a 6-km route.
12 of the participants completed the 1-km route,
413 of the participants completed the 4-km route and the rest completed the 6-km route. For every 1 km a participant walked, $7 was donated to charity. A total of $7350 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 4-km route to the number who completed the 6-km route?
- What is the total number of participants at the walkathon?
(a)
Fraction of the participants who completed 6-km route
= 1 -
12 -
413 = 1 -
1326 -
826= 1 -
2126 =
526 Ratio of participants who completed the different routes
1 km : 4 km : 6 km
13 : 8 : 5
(b)
For every 1 km a participant walked, $7 was donated to charity.
Total distance covered by the participants
= 7350 ÷ 7
= 1050 km
|
1-km |
4-km |
6-km |
Total |
Number |
13 u |
8 u |
5 u |
26 u |
Value |
1 |
4 |
6 |
|
Total value |
13 u |
32 u |
30 u |
|
Total distance that the participants covered
= 1 x 13 u + 4 x 8 u + 6 x 5 u
= 13 u + 32 u + 30 u
= 75 u
75 u = 1050
1 u = 1050 ÷ 75 = 14
Total number of participants
= 13 u + 8 u + 5 u
= 26 u
= 26 x 14
= 364
Answer(s): (a) 13 : 8 : 5; (b) 364