PSLE At a walkathon, each participant completed either a 3-km route, a 5-km route or a 8-km route.
16 of the participants completed the 3-km route,
25 of the participants completed the 5-km route and the rest completed the 8-km route. For every 1 km a participant walked, $6 was donated to charity. A total of $10740 was donated to charity.
- What is the ratio of the number of participants who completed the 3-km route to the number who completed the 5-km route to the number who completed the 8-km route?
- What is the total number of participants at the walkathon?
(a)
Fraction of the participants who completed 8-km route
= 1 -
16 -
25 = 1 -
530 -
1230= 1 -
1730 =
1330 Ratio of participants who completed the different routes
3 km : 5 km : 8 km
5 : 12 : 13
(b)
For every 1 km a participant walked, $6 was donated to charity.
Total distance covered by the participants
= 10740 ÷ 6
= 1790 km
|
3-km |
5-km |
8-km |
Total |
Number |
5 u |
12 u |
13 u |
30 u |
Value |
3 |
5 |
8 |
|
Total value |
15 u |
60 u |
104 u |
|
Total distance that the participants covered
= 3 x 5 u + 5 x 12 u + 8 x 13 u
= 15 u + 60 u + 104 u
= 179 u
179 u = 1790
1 u = 1790 ÷ 179 = 10
Total number of participants
= 5 u + 12 u + 13 u
= 30 u
= 30 x 10
= 300
Answer(s): (a) 5 : 12 : 13; (b) 300