Gabriel had thrice as much money as Linda. After Gabriel had given Linda $182, they had an equal amount of money left. How much money did each of them have at first?
- Linda
- Gabriel
|
Linda |
Gabriel |
Before |
1 u |
3 u |
Change |
+ $182 |
- $182 |
After |
1 u + $182 |
3 u - $182 |
The amounts that Gabriel and Linda had in the end are the same.
3 u - 182 = 1 u + 182
3 u - 1 u = 182 + 182
2 u = 364
1 u = 364 ÷ 2 = 182
Amount that Linda had at first
= 1 u
= $182
Amount that Gabriel had at first
= 3 u
= 3 x 182
= $546
Answer(s): (a) $182; (b) $546