Asher had five times as much money as Xandra. After Asher had given Xandra $198, they had an equal amount of money left. How much money did each of them have at first?
- Xandra
- Asher
|
Xandra |
Asher |
Before |
1 u |
5 u |
Change |
+ $198 |
- $198 |
After |
1 u + $198 |
5 u - $198 |
The amounts that Asher and Xandra had in the end are the same.
5 u - 198 = 1 u + 198
5 u - 1 u = 198 + 198
4 u = 396
1 u = 396 ÷ 4 = 99
Amount that Xandra had at first
= 1 u
= $99
Amount that Asher had at first
= 5 u
= 5 x 99
= $495
Answer(s): (a) $99; (b) $495