PSLE At a walkathon, each participant completed either a 2-km route, a 4-km route or a 6-km route.
25 of the participants completed the 2-km route,
12 of the participants completed the 4-km route and the rest completed the 6-km route. For every 1 km a participant walked, $5 was donated to charity. A total of $2720 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 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 -
25 -
12 = 1 -
410 -
510= 1 -
910 =
110 Ratio of participants who completed the different routes
2 km : 4 km : 6 km
4 : 5 : 1
(b)
For every 1 km a participant walked, $5 was donated to charity.
Total distance covered by the participants
= 2720 ÷ 5
= 544 km
|
2-km |
4-km |
6-km |
Total |
Number |
4 u |
5 u |
1 u |
10 u |
Value |
2 |
4 |
6 |
|
Total value |
8 u |
20 u |
6 u |
|
Total distance that the participants covered
= 2 x 4 u + 4 x 5 u + 6 x 1 u
= 8 u + 20 u + 6 u
= 34 u
34 u = 544
1 u = 544 ÷ 34 = 16
Total number of participants
= 4 u + 5 u + 1 u
= 10 u
= 10 x 16
= 160
Answer(s): (a) 4 : 5 : 1; (b) 160