David had five times as much money as Emma. After David had given Emma $136, they had an equal amount of money left. How much money did each of them have at first?
- Emma
- David
|
Emma |
David |
Before |
1 u |
5 u |
Change |
+ $136 |
- $136 |
After |
1 u + $136 |
5 u - $136 |
The amounts that David and Emma had in the end are the same.
5 u - 136 = 1 u + 136
5 u - 1 u = 136 + 136
4 u = 272
1 u = 272 ÷ 4 = 68
Amount that Emma had at first
= 1 u
= $68
Amount that David had at first
= 5 u
= 5 x 68
= $340
Answer(s): (a) $68; (b) $340