Wesley and Peter had $1080 altogether. Peter gave
25 of his money to Wesley. After that, Wesley gave
35 of his money to Peter. In the end, Wesley had
16 of the total sum of money. How much did Wesley have at first?
| |
Peter |
Wesley |
Total |
| Before 1 |
5 p |
? |
$1080 |
| Change 1 |
- 2 p |
+ 2 p |
|
| After 1 |
3 p |
5 u |
|
| Before 2 |
3 p |
5x1 =
5 u |
$1080 |
| Change 2 |
+ 3x1 =
+ 3 u |
- 3x1 =
- 3 u |
|
| After 2 |
|
2x1 =
2 u |
$1080 |
Comparing between
Peter and Wesley
in the end |
5x2 =
10 u |
1x2 =
2 u |
$1080 |
The amount that Wesley had in the end is the repeated. Make the amount that Wesley had in the end the same. LCM of 2 and 1 is 2.
12 u = 1080
1 u = 1080 ÷ 12 = 90
5 u = 5 x 90 = 450
3 p = 1080 - 450 = 630
1 p = 630 ÷ 3 = 210
Amount that Peter had at first
= 5 p
= 5 x 210
= $1050
Amount that Wesley had at first
= 1080 - 1050
= $30
Answer(s): $30
