Archie had $50 more than Andy. Every day, Archie and Andy would spend an equal amount of money. After 4 days, Archie was left with 3 times as much money as Andy. Given that Archie had $99 at first, how much did each of them spend every day?
|
Andy |
Archie |
Difference |
Before |
|
$99 |
$50 |
Change |
- ? |
- ? |
|
After |
1 u |
3 u |
2 u |
Since both Archie and Andy 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 = 50
1 u = 50 ÷ 2 = 25
Amount that Archie had in the end
= 3 u
= 3 x 25
= $75
Amount that Archie had spent
= 99 - 75
= $24
Amount that each of them spent every day
= 24 ÷ 4
= $6
Answer(s): $6