Vincent had thrice as much money as Natalie. After Vincent had given Natalie $192, they had an equal amount of money left. How much money did each of them have at first?
- Natalie
- Vincent
|
Natalie |
Vincent |
Before |
1 u |
3 u |
Change |
+ $192 |
- $192 |
After |
1 u + $192 |
3 u - $192 |
The amounts that Vincent and Natalie had in the end are the same.
3 u - 192 = 1 u + 192
3 u - 1 u = 192 + 192
2 u = 384
1 u = 384 ÷ 2 = 192
Amount that Natalie had at first
= 1 u
= $192
Amount that Vincent had at first
= 3 u
= 3 x 192
= $576
Answer(s): (a) $192; (b) $576