Paul had $49 more than Valen. Every day, Paul and Valen would spend an equal amount of money. After 3 days, Paul was left with 2 times as much money as Valen. Given that Paul had $122 at first, how much did each of them spend every day?
|
Valen |
Paul |
Difference |
Before |
|
$122 |
$49 |
Change |
- ? |
- ? |
|
After |
1 u |
2 u |
1 u |
Since both Paul and Valen spent an equal amount of money every day, the difference in their amounts remains the same.
Difference in their amounts
= 2 u - 1 u
= 1 u
1 u = 49
1 u = 49 ÷ 1 = 49
Amount that Paul had in the end
= 2 u
= 2 x 49
= $98
Amount that Paul had spent
= 122 - 98
= $24
Amount that each of them spent every day
= 24 ÷ 3
= $8
Answer(s): $8