PSLE At a swimathon, each participant completed either a 3-km route, a 5-km route or a 6-km route.
14 of the participants completed the 3-km route,
13 of the participants completed the 5-km route and the rest completed the 6-km route. For every 1 km a participant swam, $7 was donated to charity. A total of $6608 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 5-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 -
14 -
13 = 1 -
312 -
412= 1 -
712 =
512 Ratio of participants who completed the different routes
3 km : 5 km : 6 km
3 : 4 : 5
(b)
For every 1 km a participant swam, $7 was donated to charity.
Total distance covered by the participants
= 6608 ÷ 7
= 944 km
|
3-km |
5-km |
6-km |
Total |
Number |
3 u |
4 u |
5 u |
12 u |
Value |
3 |
5 |
6 |
|
Total value |
9 u |
20 u |
30 u |
|
Total distance that the participants covered
= 3 x 3 u + 5 x 4 u + 6 x 5 u
= 9 u + 20 u + 30 u
= 59 u
59 u = 944
1 u = 944 ÷ 59 = 16
Total number of participants
= 3 u + 4 u + 5 u
= 12 u
= 12 x 16
= 192
Answer(s): (a) 3 : 4 : 5; (b) 192