Bobby had $36 more than Xavier. Every day, Bobby and Xavier would spend an equal amount of money. After 4 days, Bobby was left with 2 times as much money as Xavier. Given that Bobby had $100 at first, how much did each of them spend every day?
|
Xavier |
Bobby |
Difference |
Before |
|
$100 |
$36 |
Change |
- ? |
- ? |
|
After |
1 u |
2 u |
1 u |
Since both Bobby and Xavier 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 = 36
1 u = 36 ÷ 1 = 36
Amount that Bobby had in the end
= 2 u
= 2 x 36
= $72
Amount that Bobby had spent
= 100 - 72
= $28
Amount that each of them spent every day
= 28 ÷ 4
= $7
Answer(s): $7