Dana and Esther went shopping together. Dana brought thrice as much money as Esther. After Dana had spent $410 and Esther had spent $120, they had an equal amount of money left. How much money did each of them have at first?
- Esther
- Dana
|
Dana |
Esther |
Before |
3 u |
1 u |
Change |
- $410 |
- $120 |
After |
3 u - $410 |
1 u - $120 |
(a)
The amounts that Dana and Esther had in the end are the same.
3 u - 410 = 1 u - 120
3 u - 1 u = 410 - 120
2 u = 290
1 u = 290 ÷ 2 = 145
Amount that Esther had at first
= 1 u
= $145
(b)
Amount that Dana had at first
= 3 u
= 3 x 145
= $435
Answer(s): (a) $145, (b) $435