Vanessa and Hazel went shopping together. Vanessa brought thrice as much money as Hazel. After Vanessa had spent $810 and Hazel had spent $240, they had an equal amount of money left. How much money did each of them have at first?
- Hazel
- Vanessa
|
Vanessa |
Hazel |
Before |
3 u |
1 u |
Change |
- $810 |
- $240 |
After |
3 u - $810 |
1 u - $240 |
(a)
The amounts that Vanessa and Hazel had in the end are the same.
3 u - 810 = 1 u - 240
3 u - 1 u = 810 - 240
2 u = 570
1 u = 570 ÷ 2 = 285
Amount that Hazel had at first
= 1 u
= $285
(b)
Amount that Vanessa had at first
= 3 u
= 3 x 285
= $855
Answer(s): (a) $285, (b) $855