Carl and Wesley had $390 altogether. Wesley gave
25 of his money to Carl. After that, Carl gave
35 of his money to Wesley. In the end, Carl had
15 of the total sum of money. How much did Carl have at first?
|
Wesley |
Carl |
Total |
Before 1 |
5 p |
? |
$390 |
Change 1 |
- 2 p |
+ 2 p |
|
After 1 |
3 p |
5 u |
|
Before 2 |
3 p |
5x1 = 5 u |
$390 |
Change 2 |
+ 3x1 = + 3 u |
- 3x1 = - 3 u |
|
After 2 |
|
2x1 = 2 u |
$390 |
Comparing between Wesley and Carl in the end |
4x2 = 8 u |
1x2 = 2 u |
$390 |
The amount that Carl had in the end is the repeated. Make the amount that Carl had in the end the same. LCM of 2 and 1 is 2.
10 u = 390
1 u = 390 ÷ 10 = 39
5 u = 5 x 39 = 195
3 p = 390 - 195 = 195
1 p = 195 ÷ 3 = 65
Amount that Wesley had at first
= 5 p
= 5 x 65
= $325
Amount that Carl had at first
= 390 - 325
= $65
Answer(s): $65