Will had thrice as much money as Xandra. After Will had given Xandra $167, they had an equal amount of money left. How much money did each of them have at first?
- Xandra
- Will
|
Xandra |
Will |
Before |
1 u |
3 u |
Change |
+ $167 |
- $167 |
After |
1 u + $167 |
3 u - $167 |
The amounts that Will and Xandra had in the end are the same.
3 u - 167 = 1 u + 167
3 u - 1 u = 167 + 167
2 u = 334
1 u = 334 ÷ 2 = 167
Amount that Xandra had at first
= 1 u
= $167
Amount that Will had at first
= 3 u
= 3 x 167
= $501
Answer(s): (a) $167; (b) $501