PSLE At a walkathon, each participant completed either a 2-km route, a 5-km route or a 7-km route.
13 of the participants completed the 2-km route,
518 of the participants completed the 5-km route and the rest completed the 7-km route. For every 1 km a participant walked, $7 was donated to charity. A total of $6020 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 7-km route?
- What is the total number of participants at the walkathon?
(a)
Fraction of the participants who completed 7-km route
= 1 -
13 -
518 = 1 -
618 -
518= 1 -
1118 =
718 Ratio of participants who completed the different routes
2 km : 5 km : 7 km
6 : 5 : 7
(b)
For every 1 km a participant walked, $7 was donated to charity.
Total distance covered by the participants
= 6020 ÷ 7
= 860 km
|
2-km |
5-km |
7-km |
Total |
Number |
6 u |
5 u |
7 u |
18 u |
Value |
2 |
5 |
7 |
|
Total value |
12 u |
25 u |
49 u |
|
Total distance that the participants covered
= 2 x 6 u + 5 x 5 u + 7 x 7 u
= 12 u + 25 u + 49 u
= 86 u
86 u = 860
1 u = 860 ÷ 86 = 10
Total number of participants
= 6 u + 5 u + 7 u
= 18 u
= 18 x 10
= 180
Answer(s): (a) 6 : 5 : 7; (b) 180