David had $48 more than Gabriel. Every day, David and Gabriel would spend an equal amount of money. After 5 days, David was left with 3 times as much money as Gabriel. Given that David had $87 at first, how much did each of them spend every day?
| |
Gabriel |
David |
Difference |
| Before |
|
$87 |
$48 |
| Change |
- ? |
- ? |
|
| After |
1 u |
3 u |
2 u |
Since both David and Gabriel spent an equal amount of money every day, the difference in their amounts remains the same.
Difference in their amounts
= 3 u - 1 u
= 2 u
2 u = 48
1 u = 48 ÷ 2 = 24
Amount that David had in the end
= 3 u
= 3 x 24
= $72
Amount that David had spent
= 87 - 72
= $15
Amount that each of them spent every day
= 15 ÷ 5
= $3
Answer(s): $3
