PSLE At a walkathon, each participant completed either a 1-km route, a 3-km route or a 6-km route.
25 of the participants completed the 1-km route,
12 of the participants completed the 3-km route and the rest completed the 6-km route. For every 1 km a participant walked, $7 was donated to charity. A total of $2975 was donated to charity.
- What is the ratio of the number of participants who completed the 1-km route to the number who completed the 3-km route to the number who completed the 6-km route?
- What is the total number of participants at the walkathon?
(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
1 km : 3 km : 6 km
4 : 5 : 1
(b)
For every 1 km a participant walked, $7 was donated to charity.
Total distance covered by the participants
= 2975 ÷ 7
= 425 km
|
1-km |
3-km |
6-km |
Total |
Number |
4 u |
5 u |
1 u |
10 u |
Value |
1 |
3 |
6 |
|
Total value |
4 u |
15 u |
6 u |
|
Total distance that the participants covered
= 1 x 4 u + 3 x 5 u + 6 x 1 u
= 4 u + 15 u + 6 u
= 25 u
25 u = 425
1 u = 425 ÷ 25 = 17
Total number of participants
= 4 u + 5 u + 1 u
= 10 u
= 10 x 17
= 170
Answer(s): (a) 4 : 5 : 1; (b) 170