Sean and Harry had $540 altogether. Harry gave
25 of his money to Sean. After that, Sean gave
35 of his money to Harry. In the end, Sean had
15 of the total sum of money. How much did Sean have at first?
| |
Harry |
Sean |
Total |
| Before 1 |
5 p |
? |
$540 |
| Change 1 |
- 2 p |
+ 2 p |
|
| After 1 |
3 p |
5 u |
|
| Before 2 |
3 p |
5x1 =
5 u |
$540 |
| Change 2 |
+ 3x1 =
+ 3 u |
- 3x1 =
- 3 u |
|
| After 2 |
|
2x1 =
2 u |
$540 |
Comparing between
Harry and Sean
in the end |
4x2 =
8 u |
1x2 =
2 u |
$540 |
The amount that Sean had in the end is the repeated. Make the amount that Sean had in the end the same. LCM of 2 and 1 is 2.
10 u = 540
1 u = 540 ÷ 10 = 54
5 u = 5 x 54 = 270
3 p = 540 - 270 = 270
1 p = 270 ÷ 3 = 90
Amount that Harry had at first
= 5 p
= 5 x 90
= $450
Amount that Sean had at first
= 540 - 450
= $90
Answer(s): $90
