John and Lee had $540 altogether. Lee gave
25 of his money to John. After that, John gave
35 of his money to Lee. In the end, John had
15 of the total sum of money. How much did John have at first?
| |
Lee |
John |
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
Lee and John
in the end |
4x2 =
8 u |
1x2 =
2 u |
$540 |
The amount that John had in the end is the repeated. Make the amount that John 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 Lee had at first
= 5 p
= 5 x 90
= $450
Amount that John had at first
= 540 - 450
= $90
Answer(s): $90
