PSLE At a walkathon, each participant completed either a 1-km route, a 3-km route or a 5-km route.
16 of the participants completed the 1-km route,
710 of the participants completed the 3-km route and the rest completed the 5-km route. For every 1 km a participant walked, $10 was donated to charity. A total of $10560 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 3-km route to the number who completed the 5-km route?
- What is the total number of participants at the walkathon?
(a)
Fraction of the participants who completed 5-km route
= 1 -
16 -
710 = 1 -
530 -
2130= 1 -
2630 =
430 Ratio of participants who completed the different routes
1 km : 3 km : 5 km
5 : 21 : 4
(b)
For every 1 km a participant walked, $10 was donated to charity.
Total distance covered by the participants
= 10560 ÷ 10
= 1056 km
|
1-km |
3-km |
5-km |
Total |
Number |
5 u |
21 u |
4 u |
30 u |
Value |
1 |
3 |
5 |
|
Total value |
5 u |
63 u |
20 u |
|
Total distance that the participants covered
= 1 x 5 u + 3 x 21 u + 5 x 4 u
= 5 u + 63 u + 20 u
= 88 u
88 u = 1056
1 u = 1056 ÷ 88 = 12
Total number of participants
= 5 u + 21 u + 4 u
= 30 u
= 30 x 12
= 360
Answer(s): (a) 5 : 21 : 4; (b) 360