Ethan and Perry had $570 altogether. Perry gave
25 of his money to Ethan. After that, Ethan gave
35 of his money to Perry. In the end, Ethan had
15 of the total sum of money. How much did Ethan have at first?
| |
Perry |
Ethan |
Total |
| Before 1 |
5 p |
? |
$570 |
| Change 1 |
- 2 p |
+ 2 p |
|
| After 1 |
3 p |
5 u |
|
| Before 2 |
3 p |
5x1 =
5 u |
$570 |
| Change 2 |
+ 3x1 =
+ 3 u |
- 3x1 =
- 3 u |
|
| After 2 |
|
2x1 =
2 u |
$570 |
Comparing between
Perry and Ethan
in the end |
4x2 =
8 u |
1x2 =
2 u |
$570 |
The amount that Ethan had in the end is the repeated. Make the amount that Ethan had in the end the same. LCM of 2 and 1 is 2.
10 u = 570
1 u = 570 ÷ 10 = 57
5 u = 5 x 57 = 285
3 p = 570 - 285 = 285
1 p = 285 ÷ 3 = 95
Amount that Perry had at first
= 5 p
= 5 x 95
= $475
Amount that Ethan had at first
= 570 - 475
= $95
Answer(s): $95
