John had four times as much money as Yoko. After John had given Yoko $144, they had an equal amount of money left. How much money did each of them have at first?
- Yoko
- John
|
Yoko |
John |
Before |
1 u |
4 u |
Change |
+ $144 |
- $144 |
After |
1 u + $144 |
4 u - $144 |
The amounts that John and Yoko had in the end are the same.
4 u - 144 = 1 u + 144
4 u - 1 u = 144 + 144
3 u = 288
1 u = 288 ÷ 3 = 96
Amount that Yoko had at first
= 1 u
= $96
Amount that John had at first
= 4 u
= 4 x 96
= $384
Answer(s): (a) $96; (b) $384