PSLE At a swimathon, each participant completed either a 2-km route, a 4-km route or a 6-km route.
16 of the participants completed the 2-km route,
14 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 $6612 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 -
16 -
14 = 1 -
212 -
312= 1 -
512 =
712 Ratio of participants who completed the different routes
2 km : 4 km : 6 km
2 : 3 : 7
(b)
For every 1 km a participant swam, $6 was donated to charity.
Total distance covered by the participants
= 6612 ÷ 6
= 1102 km
|
2-km |
4-km |
6-km |
Total |
Number |
2 u |
3 u |
7 u |
12 u |
Value |
2 |
4 |
6 |
|
Total value |
4 u |
12 u |
42 u |
|
Total distance that the participants covered
= 2 x 2 u + 4 x 3 u + 6 x 7 u
= 4 u + 12 u + 42 u
= 58 u
58 u = 1102
1 u = 1102 ÷ 58 = 19
Total number of participants
= 2 u + 3 u + 7 u
= 12 u
= 12 x 19
= 228
Answer(s): (a) 2 : 3 : 7; (b) 228