Billy had thrice as much money as Wendy. After Billy had given Wendy $197, they had an equal amount of money left. How much money did each of them have at first?
- Wendy
- Billy
|
Wendy |
Billy |
Before |
1 u |
3 u |
Change |
+ $197 |
- $197 |
After |
1 u + $197 |
3 u - $197 |
The amounts that Billy and Wendy had in the end are the same.
3 u - 197 = 1 u + 197
3 u - 1 u = 197 + 197
2 u = 394
1 u = 394 ÷ 2 = 197
Amount that Wendy had at first
= 1 u
= $197
Amount that Billy had at first
= 3 u
= 3 x 197
= $591
Answer(s): (a) $197; (b) $591