Luke and Fred had a total of $240. Luke gave $27 to Fred. In return, Fred gave
14 of his money to Luke. In the end, Luke had thrice as much money as Fred. How much money did Luke have at first?
| |
Luke |
Fred |
Total |
| Before |
|
|
$240 |
| Change 1 |
- $27 |
+ $27 |
|
| After 1 |
|
4 p |
|
| Change 2 |
+ 1 p |
- 1 p |
|
| After 2 |
|
3 p |
|
Comparing Luke
and Fred
in the end |
3 u |
1 u |
$240 |
The total amount that Fred and Luke had remains unchanged.
Total amount in the end
= 3 u + 1 u
= 4 u
4 u = 240
1 u = 240 ÷ 4 = 60
Amount that Luke has in the end
= 3 u
= 3 x 60
= $180
Amount that Fred has in the end
= 1 u
= $60
3 p = 1 u = 60
1 p = 60 ÷ 3 = 20
Amount that Fred gave to Luke
= 1 p
= 1 x 20
= $20
Amount that Luke had at first
= 180 - 20 + 27
= $187
Answer(s): $187
