PSLE At a swimathon, each participant completed either a 3-km route, a 5-km route or a 6-km route.
16 of the participants completed the 3-km route,
15 of the participants completed the 5-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 $10494 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 -
16 -
15 = 1 -
530 -
630= 1 -
1130 =
1930 Ratio of participants who completed the different routes
3 km : 5 km : 6 km
5 : 6 : 19
(b)
For every 1 km a participant swam, $6 was donated to charity.
Total distance covered by the participants
= 10494 ÷ 6
= 1749 km
|
3-km |
5-km |
6-km |
Total |
Number |
5 u |
6 u |
19 u |
30 u |
Value |
3 |
5 |
6 |
|
Total value |
15 u |
30 u |
114 u |
|
Total distance that the participants covered
= 3 x 5 u + 5 x 6 u + 6 x 19 u
= 15 u + 30 u + 114 u
= 159 u
159 u = 1749
1 u = 1749 ÷ 159 = 11
Total number of participants
= 5 u + 6 u + 19 u
= 30 u
= 30 x 11
= 330
Answer(s): (a) 5 : 6 : 19; (b) 330