Fred had five times as much money as Roshel. After Fred had given Roshel $170, they had an equal amount of money left. How much money did each of them have at first?
- Roshel
- Fred
|
Roshel |
Fred |
Before |
1 u |
5 u |
Change |
+ $170 |
- $170 |
After |
1 u + $170 |
5 u - $170 |
The amounts that Fred and Roshel had in the end are the same.
5 u - 170 = 1 u + 170
5 u - 1 u = 170 + 170
4 u = 340
1 u = 340 ÷ 4 = 85
Amount that Roshel had at first
= 1 u
= $85
Amount that Fred had at first
= 5 u
= 5 x 85
= $425
Answer(s): (a) $85; (b) $425