Ethan and Harry had $840 altogether. Harry gave
25 of his money to Ethan. After that, Ethan gave
35 of his money to Harry. In the end, Ethan had
15 of the total sum of money. How much did Ethan have at first?
| |
Harry |
Ethan |
Total |
| Before 1 |
5 p |
? |
$840 |
| Change 1 |
- 2 p |
+ 2 p |
|
| After 1 |
3 p |
5 u |
|
| Before 2 |
3 p |
5x1 =
5 u |
$840 |
| Change 2 |
+ 3x1 =
+ 3 u |
- 3x1 =
- 3 u |
|
| After 2 |
|
2x1 =
2 u |
$840 |
Comparing between
Harry and Ethan
in the end |
4x2 =
8 u |
1x2 =
2 u |
$840 |
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 = 840
1 u = 840 ÷ 10 = 84
5 u = 5 x 84 = 420
3 p = 840 - 420 = 420
1 p = 420 ÷ 3 = 140
Amount that Harry had at first
= 5 p
= 5 x 140
= $700
Amount that Ethan had at first
= 840 - 700
= $140
Answer(s): $140
