PSLE At a walkathon, each participant completed either a 1-km route, a 2-km route or a 4-km route.
16 of the participants completed the 1-km route,
25 of the participants completed the 2-km route and the rest completed the 4-km route. For every 1 km a participant walked, $6 was donated to charity. A total of $7290 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 2-km route to the number who completed the 4-km route?
- What is the total number of participants at the walkathon?
(a)
Fraction of the participants who completed 4-km route
= 1 -
16 -
25 = 1 -
530 -
1230= 1 -
1730 =
1330 Ratio of participants who completed the different routes
1 km : 2 km : 4 km
5 : 12 : 13
(b)
For every 1 km a participant walked, $6 was donated to charity.
Total distance covered by the participants
= 7290 ÷ 6
= 1215 km
|
1-km |
2-km |
4-km |
Total |
Number |
5 u |
12 u |
13 u |
30 u |
Value |
1 |
2 |
4 |
|
Total value |
5 u |
24 u |
52 u |
|
Total distance that the participants covered
= 1 x 5 u + 2 x 12 u + 4 x 13 u
= 5 u + 24 u + 52 u
= 81 u
81 u = 1215
1 u = 1215 ÷ 81 = 15
Total number of participants
= 5 u + 12 u + 13 u
= 30 u
= 30 x 15
= 450
Answer(s): (a) 5 : 12 : 13; (b) 450