Daniel had $42 more than Reggie. Every day, Daniel and Reggie would spend an equal amount of money. After 6 days, Daniel was left with 3 times as much money as Reggie. Given that Daniel had $105 at first, how much did each of them spend every day?
|
Reggie |
Daniel |
Difference |
Before |
|
$105 |
$42 |
Change |
- ? |
- ? |
|
After |
1 u |
3 u |
2 u |
Since both Daniel and Reggie 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 Daniel had in the end
= 3 u
= 3 x 21
= $63
Amount that Daniel had spent
= 105 - 63
= $42
Amount that each of them spent every day
= 42 ÷ 6
= $7
Answer(s): $7