Ethan had $128 more than Simon. Every day, Ethan and Simon would spend an equal amount of money. After 8 days, Ethan was left with 5 times as much money as Simon. Given that Ethan had $208 at first, how much did each of them spend every day?
|
Simon |
Ethan |
Difference |
Before |
|
$208 |
$128 |
Change |
- ? |
- ? |
|
After |
1 u |
5 u |
4 u |
Since both Ethan and Simon spent an equal amount of money every day, the difference in their amounts remains the same.
Difference in their amounts
= 5 u - 1 u
= 4 u
4 u = 128
1 u = 128 ÷ 4 = 32
Amount that Ethan had in the end
= 5 u
= 5 x 32
= $160
Amount that Ethan had spent
= 208 - 160
= $48
Amount that each of them spent every day
= 48 ÷ 8
= $6
Answer(s): $6