John had thrice as much money as Hilda. After John had given Hilda $194, they had an equal amount of money left. How much money did each of them have at first?
- Hilda
- John
|
Hilda |
John |
Before |
1 u |
3 u |
Change |
+ $194 |
- $194 |
After |
1 u + $194 |
3 u - $194 |
The amounts that John and Hilda had in the end are the same.
3 u - 194 = 1 u + 194
3 u - 1 u = 194 + 194
2 u = 388
1 u = 388 ÷ 2 = 194
Amount that Hilda had at first
= 1 u
= $194
Amount that John had at first
= 3 u
= 3 x 194
= $582
Answer(s): (a) $194; (b) $582