PSLE At a swimathon, each participant completed either a 2-km route, a 4-km route or a 6-km route.
14 of the participants completed the 2-km route,
920 of the participants completed the 4-km route and the rest completed the 6-km route. For every 1 km a participant swam, $6 was donated to charity. A total of $5412 was donated to charity.
- What is the ratio of the number of participants who completed the 2-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 -
14 -
920 = 1 -
520 -
920= 1 -
1420 =
620 Ratio of participants who completed the different routes
2 km : 4 km : 6 km
5 : 9 : 6
(b)
For every 1 km a participant swam, $6 was donated to charity.
Total distance covered by the participants
= 5412 ÷ 6
= 902 km
|
2-km |
4-km |
6-km |
Total |
Number |
5 u |
9 u |
6 u |
20 u |
Value |
2 |
4 |
6 |
|
Total value |
10 u |
36 u |
36 u |
|
Total distance that the participants covered
= 2 x 5 u + 4 x 9 u + 6 x 6 u
= 10 u + 36 u + 36 u
= 82 u
82 u = 902
1 u = 902 ÷ 82 = 11
Total number of participants
= 5 u + 9 u + 6 u
= 20 u
= 20 x 11
= 220
Answer(s): (a) 5 : 9 : 6; (b) 220