PSLE At a walkathon, each participant completed either a 3-km route, a 6-km route or a 8-km route.
13 of the participants completed the 3-km route,
58 of the participants completed the 6-km route and the rest completed the 8-km route. For every 1 km a participant walked, $5 was donated to charity. A total of $7930 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 6-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 -
13 -
58 = 1 -
824 -
1524= 1 -
2324 =
124 Ratio of participants who completed the different routes
3 km : 6 km : 8 km
8 : 15 : 1
(b)
For every 1 km a participant walked, $5 was donated to charity.
Total distance covered by the participants
= 7930 ÷ 5
= 1586 km
|
3-km |
6-km |
8-km |
Total |
Number |
8 u |
15 u |
1 u |
24 u |
Value |
3 |
6 |
8 |
|
Total value |
24 u |
90 u |
8 u |
|
Total distance that the participants covered
= 3 x 8 u + 6 x 15 u + 8 x 1 u
= 24 u + 90 u + 8 u
= 122 u
122 u = 1586
1 u = 1586 ÷ 122 = 13
Total number of participants
= 8 u + 15 u + 1 u
= 24 u
= 24 x 13
= 312
Answer(s): (a) 8 : 15 : 1; (b) 312