PSLE At a walkathon, each participant completed either a 1-km route, a 4-km route or a 6-km route.
16 of the participants completed the 1-km route,
25 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 $8515 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 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 -
16 -
25 = 1 -
530 -
1230= 1 -
1730 =
1330 Ratio of participants who completed the different routes
1 km : 4 km : 6 km
5 : 12 : 13
(b)
For every 1 km a participant walked, $5 was donated to charity.
Total distance covered by the participants
= 8515 ÷ 5
= 1703 km
|
1-km |
4-km |
6-km |
Total |
Number |
5 u |
12 u |
13 u |
30 u |
Value |
1 |
4 |
6 |
|
Total value |
5 u |
48 u |
78 u |
|
Total distance that the participants covered
= 1 x 5 u + 4 x 12 u + 6 x 13 u
= 5 u + 48 u + 78 u
= 131 u
131 u = 1703
1 u = 1703 ÷ 131 = 13
Total number of participants
= 5 u + 12 u + 13 u
= 30 u
= 30 x 13
= 390
Answer(s): (a) 5 : 12 : 13; (b) 390