Ben had $46 more than Fabian. Every day, Ben and Fabian would spend an equal amount of money. After 4 days, Ben was left with 3 times as much money as Fabian. Given that Ben had $81 at first, how much did each of them spend every day?
| |
Fabian |
Ben |
Difference |
| Before |
|
$81 |
$46 |
| Change |
- ? |
- ? |
|
| After |
1 u |
3 u |
2 u |
Since both Ben and Fabian 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 = 46
1 u = 46 ÷ 2 = 23
Amount that Ben had in the end
= 3 u
= 3 x 23
= $69
Amount that Ben had spent
= 81 - 69
= $12
Amount that each of them spent every day
= 12 ÷ 4
= $3
Answer(s): $3
