Sam had thrice as much money as Linda. After Sam had given Linda $126, they had an equal amount of money left. How much money did each of them have at first?
- Linda
- Sam
|
Linda |
Sam |
Before |
1 u |
3 u |
Change |
+ $126 |
- $126 |
After |
1 u + $126 |
3 u - $126 |
The amounts that Sam and Linda had in the end are the same.
3 u - 126 = 1 u + 126
3 u - 1 u = 126 + 126
2 u = 252
1 u = 252 ÷ 2 = 126
Amount that Linda had at first
= 1 u
= $126
Amount that Sam had at first
= 3 u
= 3 x 126
= $378
Answer(s): (a) $126; (b) $378