PSLE At a walkathon, each participant completed either a 3-km route, a 4-km route or a 6-km route.
13 of the participants completed the 3-km route,
310 of the participants completed the 4-km route and the rest completed the 6-km route. For every 1 km a participant walked, $8 was donated to charity. A total of $11616 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 4-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 -
13 -
310 = 1 -
1030 -
930= 1 -
1930 =
1130 Ratio of participants who completed the different routes
3 km : 4 km : 6 km
10 : 9 : 11
(b)
For every 1 km a participant walked, $8 was donated to charity.
Total distance covered by the participants
= 11616 ÷ 8
= 1452 km
|
3-km |
4-km |
6-km |
Total |
Number |
10 u |
9 u |
11 u |
30 u |
Value |
3 |
4 |
6 |
|
Total value |
30 u |
36 u |
66 u |
|
Total distance that the participants covered
= 3 x 10 u + 4 x 9 u + 6 x 11 u
= 30 u + 36 u + 66 u
= 132 u
132 u = 1452
1 u = 1452 ÷ 132 = 11
Total number of participants
= 10 u + 9 u + 11 u
= 30 u
= 30 x 11
= 330
Answer(s): (a) 10 : 9 : 11; (b) 330