Owen had thrice as much money as Dana. After Owen had given Dana $193, they had an equal amount of money left. How much money did each of them have at first?
- Dana
- Owen
|
Dana |
Owen |
Before |
1 u |
3 u |
Change |
+ $193 |
- $193 |
After |
1 u + $193 |
3 u - $193 |
The amounts that Owen and Dana had in the end are the same.
3 u - 193 = 1 u + 193
3 u - 1 u = 193 + 193
2 u = 386
1 u = 386 ÷ 2 = 193
Amount that Dana had at first
= 1 u
= $193
Amount that Owen had at first
= 3 u
= 3 x 193
= $579
Answer(s): (a) $193; (b) $579