Luke and Fabian had a total of $234. Luke gave $41 to Fabian. In return, Fabian gave
14 of his money to Luke. In the end, Luke had twice as much money as Fabian. How much money did Luke have at first?
| |
Luke |
Fabian |
Total |
| Before |
|
|
$234 |
| Change 1 |
- $41 |
+ $41 |
|
| After 1 |
|
4 p |
|
| Change 2 |
+ 1 p |
- 1 p |
|
| After 2 |
|
3 p |
|
Comparing Luke
and Fabian
in the end |
2 u |
1 u |
$234 |
The total amount that Fabian and Luke had remains unchanged.
Total amount in the end
= 2 u + 1 u
= 3 u
3 u = 234
1 u = 234 ÷ 3 = 78
Amount that Luke has in the end
= 2 u
= 2 x 78
= $156
Amount that Fabian has in the end
= 1 u
= $78
3 p = 1 u = 78
1 p = 78 ÷ 3 = 26
Amount that Fabian gave to Luke
= 1 p
= 1 x 26
= $26
Amount that Luke had at first
= 156 - 26 + 41
= $171
Answer(s): $171
