Sam had four times as much money as Marion. After Sam had given Marion $165, they had an equal amount of money left. How much money did each of them have at first?
- Marion
- Sam
|
Marion |
Sam |
Before |
1 u |
4 u |
Change |
+ $165 |
- $165 |
After |
1 u + $165 |
4 u - $165 |
The amounts that Sam and Marion had in the end are the same.
4 u - 165 = 1 u + 165
4 u - 1 u = 165 + 165
3 u = 330
1 u = 330 ÷ 3 = 110
Amount that Marion had at first
= 1 u
= $110
Amount that Sam had at first
= 4 u
= 4 x 110
= $440
Answer(s): (a) $110; (b) $440