Luke and Ethan had a total of $280. Luke gave $12 to Ethan. In return, Ethan gave
13 of his money to Luke. In the end, Luke had four times as much money as Ethan. How much money did Luke have at first?
| |
Luke |
Ethan |
Total |
| Before |
|
|
$280 |
| Change 1 |
- $12 |
+ $12 |
|
| After 1 |
|
3 p |
|
| Change 2 |
+ 1 p |
- 1 p |
|
| After 2 |
|
2 p |
|
Comparing Luke
and Ethan
in the end |
4 u |
1 u |
$280 |
The total amount that Ethan and Luke had remains unchanged.
Total amount in the end
= 4 u + 1 u
= 5 u
5 u = 280
1 u = 280 ÷ 5 = 56
Amount that Luke has in the end
= 4 u
= 4 x 56
= $224
Amount that Ethan has in the end
= 1 u
= $56
2 p = 1 u = 56
1 p = 56 ÷ 2 = 28
Amount that Ethan gave to Luke
= 1 p
= 1 x 28
= $28
Amount that Luke had at first
= 224 - 28 + 12
= $208
Answer(s): $208
