Diana and Jen went shopping together. Diana brought thrice as much money as Jen. After Diana had spent $680 and Jen had spent $180, they had an equal amount of money left. How much money did each of them have at first?
- Jen
- Diana
|
Diana |
Jen |
Before |
3 u |
1 u |
Change |
- $680 |
- $180 |
After |
3 u - $680 |
1 u - $180 |
(a)
The amounts that Diana and Jen had in the end are the same.
3 u - 680 = 1 u - 180
3 u - 1 u = 680 - 180
2 u = 500
1 u = 500 ÷ 2 = 250
Amount that Jen had at first
= 1 u
= $250
(b)
Amount that Diana had at first
= 3 u
= 3 x 250
= $750
Answer(s): (a) $250, (b) $750