Archie had thrice as much money as Jen. After Archie had given Jen $142, they had an equal amount of money left. How much money did each of them have at first?
- Jen
- Archie
|
Jen |
Archie |
Before |
1 u |
3 u |
Change |
+ $142 |
- $142 |
After |
1 u + $142 |
3 u - $142 |
The amounts that Archie and Jen had in the end are the same.
3 u - 142 = 1 u + 142
3 u - 1 u = 142 + 142
2 u = 284
1 u = 284 ÷ 2 = 142
Amount that Jen had at first
= 1 u
= $142
Amount that Archie had at first
= 3 u
= 3 x 142
= $426
Answer(s): (a) $142; (b) $426