PSLE At a swimathon, each participant completed either a 1-km route, a 4-km route or a 6-km route.
13 of the participants completed the 1-km route,
35 of the participants completed the 4-km route and the rest completed the 6-km route. For every 1 km a participant swam, $10 was donated to charity. A total of $6110 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 swimathon?
(a)
Fraction of the participants who completed 6-km route
= 1 -
13 -
35 = 1 -
515 -
915= 1 -
1415 =
115 Ratio of participants who completed the different routes
1 km : 4 km : 6 km
5 : 9 : 1
(b)
For every 1 km a participant swam, $10 was donated to charity.
Total distance covered by the participants
= 6110 ÷ 10
= 611 km
|
1-km |
4-km |
6-km |
Total |
Number |
5 u |
9 u |
1 u |
15 u |
Value |
1 |
4 |
6 |
|
Total value |
5 u |
36 u |
6 u |
|
Total distance that the participants covered
= 1 x 5 u + 4 x 9 u + 6 x 1 u
= 5 u + 36 u + 6 u
= 47 u
47 u = 611
1 u = 611 ÷ 47 = 13
Total number of participants
= 5 u + 9 u + 1 u
= 15 u
= 15 x 13
= 195
Answer(s): (a) 5 : 9 : 1; (b) 195