Bryan had four times as much money as Cathy. After Bryan had given Cathy $174, they had an equal amount of money left. How much money did each of them have at first?
- Cathy
- Bryan
|
Cathy |
Bryan |
Before |
1 u |
4 u |
Change |
+ $174 |
- $174 |
After |
1 u + $174 |
4 u - $174 |
The amounts that Bryan and Cathy had in the end are the same.
4 u - 174 = 1 u + 174
4 u - 1 u = 174 + 174
3 u = 348
1 u = 348 ÷ 3 = 116
Amount that Cathy had at first
= 1 u
= $116
Amount that Bryan had at first
= 4 u
= 4 x 116
= $464
Answer(s): (a) $116; (b) $464