PSLE At a walkathon, each participant completed either a 1-km route, a 2-km route or a 3-km route.
25 of the participants completed the 1-km route,
310 of the participants completed the 2-km route and the rest completed the 3-km route. For every 1 km a participant walked, $6 was donated to charity. A total of $1596 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 -
25 -
310 = 1 -
410 -
310= 1 -
710 =
310 Ratio of participants who completed the different routes
1 km : 2 km : 3 km
4 : 3 : 3
(b)
For every 1 km a participant walked, $6 was donated to charity.
Total distance covered by the participants
= 1596 ÷ 6
= 266 km
|
1-km |
2-km |
3-km |
Total |
Number |
4 u |
3 u |
3 u |
10 u |
Value |
1 |
2 |
3 |
|
Total value |
4 u |
6 u |
9 u |
|
Total distance that the participants covered
= 1 x 4 u + 2 x 3 u + 3 x 3 u
= 4 u + 6 u + 9 u
= 19 u
19 u = 266
1 u = 266 ÷ 19 = 14
Total number of participants
= 4 u + 3 u + 3 u
= 10 u
= 10 x 14
= 140
Answer(s): (a) 4 : 3 : 3; (b) 140