Peter had five times as much money as Hazel. After Peter had given Hazel $196, they had an equal amount of money left. How much money did each of them have at first?
- Hazel
- Peter
|
Hazel |
Peter |
Before |
1 u |
5 u |
Change |
+ $196 |
- $196 |
After |
1 u + $196 |
5 u - $196 |
The amounts that Peter and Hazel had in the end are the same.
5 u - 196 = 1 u + 196
5 u - 1 u = 196 + 196
4 u = 392
1 u = 392 ÷ 4 = 98
Amount that Hazel had at first
= 1 u
= $98
Amount that Peter had at first
= 5 u
= 5 x 98
= $490
Answer(s): (a) $98; (b) $490