Tim had $33 more than Luke. Every day, Tim and Luke would spend an equal amount of money. After 8 days, Tim was left with 2 times as much money as Luke. Given that Tim had $98 at first, how much did each of them spend every day?
| |
Luke |
Tim |
Difference |
| Before |
|
$98 |
$33 |
| Change |
- ? |
- ? |
|
| After |
1 u |
2 u |
1 u |
Since both Tim and Luke 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 = 33
1 u = 33 ÷ 1 = 33
Amount that Tim had in the end
= 2 u
= 2 x 33
= $66
Amount that Tim had spent
= 98 - 66
= $32
Amount that each of them spent every day
= 32 ÷ 8
= $4
Answer(s): $4
