Harry and Ethan had $756 altogether. Ethan gave
25 of his money to Harry. After that, Harry gave
35 of his money to Ethan. In the end, Harry had
16 of the total sum of money. How much did Harry have at first?
| |
Ethan |
Harry |
Total |
| Before 1 |
5 p |
? |
$756 |
| Change 1 |
- 2 p |
+ 2 p |
|
| After 1 |
3 p |
5 u |
|
| Before 2 |
3 p |
5x1 =
5 u |
$756 |
| Change 2 |
+ 3x1 =
+ 3 u |
- 3x1 =
- 3 u |
|
| After 2 |
|
2x1 =
2 u |
$756 |
Comparing between
Ethan and Harry
in the end |
5x2 =
10 u |
1x2 =
2 u |
$756 |
The amount that Harry had in the end is the repeated. Make the amount that Harry had in the end the same. LCM of 2 and 1 is 2.
12 u = 756
1 u = 756 ÷ 12 = 63
5 u = 5 x 63 = 315
3 p = 756 - 315 = 441
1 p = 441 ÷ 3 = 147
Amount that Ethan had at first
= 5 p
= 5 x 147
= $735
Amount that Harry had at first
= 756 - 735
= $21
Answer(s): $21
