Wesley and Fabian had $504 altogether. Fabian gave
25 of his money to Wesley. After that, Wesley gave
35 of his money to Fabian. In the end, Wesley had
16 of the total sum of money. How much did Wesley have at first?
| |
Fabian |
Wesley |
Total |
| Before 1 |
5 p |
? |
$504 |
| Change 1 |
- 2 p |
+ 2 p |
|
| After 1 |
3 p |
5 u |
|
| Before 2 |
3 p |
5x1 =
5 u |
$504 |
| Change 2 |
+ 3x1 =
+ 3 u |
- 3x1 =
- 3 u |
|
| After 2 |
|
2x1 =
2 u |
$504 |
Comparing between
Fabian and Wesley
in the end |
5x2 =
10 u |
1x2 =
2 u |
$504 |
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 = 504
1 u = 504 ÷ 12 = 42
5 u = 5 x 42 = 210
3 p = 504 - 210 = 294
1 p = 294 ÷ 3 = 98
Amount that Fabian had at first
= 5 p
= 5 x 98
= $490
Amount that Wesley had at first
= 504 - 490
= $14
Answer(s): $14
