Vanessa and Marion went shopping together. Vanessa brought thrice as much money as Marion. After Vanessa had spent $590 and Marion had spent $170, they had an equal amount of money left. How much money did each of them have at first?
- Marion
- Vanessa
|
Vanessa |
Marion |
Before |
3 u |
1 u |
Change |
- $590 |
- $170 |
After |
3 u - $590 |
1 u - $170 |
(a)
The amounts that Vanessa and Marion had in the end are the same.
3 u - 590 = 1 u - 170
3 u - 1 u = 590 - 170
2 u = 420
1 u = 420 ÷ 2 = 210
Amount that Marion had at first
= 1 u
= $210
(b)
Amount that Vanessa had at first
= 3 u
= 3 x 210
= $630
Answer(s): (a) $210, (b) $630