PSLE At a walkathon, each participant completed either a 2-km route, a 3-km route or a 5-km route.
16 of the participants completed the 2-km route,
715 of the participants completed the 3-km route and the rest completed the 5-km route. For every 1 km a participant walked, $6 was donated to charity. A total of $12840 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 3-km route to the number who completed the 5-km route?
- What is the total number of participants at the walkathon?
(a)
Fraction of the participants who completed 5-km route
= 1 -
16 -
715 = 1 -
530 -
1430= 1 -
1930 =
1130 Ratio of participants who completed the different routes
2 km : 3 km : 5 km
5 : 14 : 11
(b)
For every 1 km a participant walked, $6 was donated to charity.
Total distance covered by the participants
= 12840 ÷ 6
= 2140 km
|
2-km |
3-km |
5-km |
Total |
Number |
5 u |
14 u |
11 u |
30 u |
Value |
2 |
3 |
5 |
|
Total value |
10 u |
42 u |
55 u |
|
Total distance that the participants covered
= 2 x 5 u + 3 x 14 u + 5 x 11 u
= 10 u + 42 u + 55 u
= 107 u
107 u = 2140
1 u = 2140 ÷ 107 = 20
Total number of participants
= 5 u + 14 u + 11 u
= 30 u
= 30 x 20
= 600
Answer(s): (a) 5 : 14 : 11; (b) 600