PSLE At a swimathon, each participant completed either a 3-km route, a 5-km route or a 6-km route.
25 of the participants completed the 3-km route,
12 of the participants completed the 5-km route and the rest completed the 6-km route. For every 1 km a participant swam, $8 was donated to charity. A total of $6880 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 -
25 -
12 = 1 -
410 -
510= 1 -
910 =
110 Ratio of participants who completed the different routes
3 km : 5 km : 6 km
4 : 5 : 1
(b)
For every 1 km a participant swam, $8 was donated to charity.
Total distance covered by the participants
= 6880 ÷ 8
= 860 km
|
3-km |
5-km |
6-km |
Total |
Number |
4 u |
5 u |
1 u |
10 u |
Value |
3 |
5 |
6 |
|
Total value |
12 u |
25 u |
6 u |
|
Total distance that the participants covered
= 3 x 4 u + 5 x 5 u + 6 x 1 u
= 12 u + 25 u + 6 u
= 43 u
43 u = 860
1 u = 860 ÷ 43 = 20
Total number of participants
= 4 u + 5 u + 1 u
= 10 u
= 10 x 20
= 200
Answer(s): (a) 4 : 5 : 1; (b) 200