Bobby had $42 more than Xavier. Every day, Bobby and Xavier would spend an equal amount of money. After 6 days, Bobby was left with 3 times as much money as Xavier. Given that Bobby had $117 at first, how much did each of them spend every day?
| |
Xavier |
Bobby |
Difference |
| Before |
|
$117 |
$42 |
| Change |
- ? |
- ? |
|
| After |
1 u |
3 u |
2 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
= 3 u - 1 u
= 2 u
2 u = 42
1 u = 42 ÷ 2 = 21
Amount that Bobby had in the end
= 3 u
= 3 x 21
= $63
Amount that Bobby had spent
= 117 - 63
= $54
Amount that each of them spent every day
= 54 ÷ 6
= $9
Answer(s): $9
