Ethan and Perry had a total of $225. Ethan gave $17 to Perry. In return, Perry gave
14 of his money to Ethan. In the end, Ethan had four times as much money as Perry. How much money did Ethan have at first?
| |
Ethan |
Perry |
Total |
| Before |
|
|
$225 |
| Change 1 |
- $17 |
+ $17 |
|
| After 1 |
|
4 p |
|
| Change 2 |
+ 1 p |
- 1 p |
|
| After 2 |
|
3 p |
|
Comparing Ethan
and Perry
in the end |
4 u |
1 u |
$225 |
The total amount that Perry and Ethan had remains unchanged.
Total amount in the end
= 4 u + 1 u
= 5 u
5 u = 225
1 u = 225 ÷ 5 = 45
Amount that Ethan has in the end
= 4 u
= 4 x 45
= $180
Amount that Perry has in the end
= 1 u
= $45
3 p = 1 u = 45
1 p = 45 ÷ 3 = 15
Amount that Perry gave to Ethan
= 1 p
= 1 x 15
= $15
Amount that Ethan had at first
= 180 - 15 + 17
= $182
Answer(s): $182
