Jenson had thrice as much money as Gem. After Jenson had given Gem $121, they had an equal amount of money left. How much money did each of them have at first?
- Gem
- Jenson
|
Gem |
Jenson |
Before |
1 u |
3 u |
Change |
+ $121 |
- $121 |
After |
1 u + $121 |
3 u - $121 |
The amounts that Jenson and Gem had in the end are the same.
3 u - 121 = 1 u + 121
3 u - 1 u = 121 + 121
2 u = 242
1 u = 242 ÷ 2 = 121
Amount that Gem had at first
= 1 u
= $121
Amount that Jenson had at first
= 3 u
= 3 x 121
= $363
Answer(s): (a) $121; (b) $363