Will had thrice as much money as Emma. After Will had given Emma $169, they had an equal amount of money left. How much money did each of them have at first?
- Emma
- Will
|
Emma |
Will |
Before |
1 u |
3 u |
Change |
+ $169 |
- $169 |
After |
1 u + $169 |
3 u - $169 |
The amounts that Will and Emma had in the end are the same.
3 u - 169 = 1 u + 169
3 u - 1 u = 169 + 169
2 u = 338
1 u = 338 ÷ 2 = 169
Amount that Emma had at first
= 1 u
= $169
Amount that Will had at first
= 3 u
= 3 x 169
= $507
Answer(s): (a) $169; (b) $507