Wendy and Hazel went on a tour together. Wendy brought thrice as much money as Hazel. After Wendy had spent $810 and Hazel had spent $200, they had an equal amount of money left. How much money did each of them have at first?
- Hazel
- Wendy
|
Wendy |
Hazel |
Before |
3 u |
1 u |
Change |
- $810 |
- $200 |
After |
3 u - $810 |
1 u - $200 |
(a)
The amounts that Wendy and Hazel had in the end are the same.
3 u - 810 = 1 u - 200
3 u - 1 u = 810 - 200
2 u = 610
1 u = 610 ÷ 2 = 305
Amount that Hazel had at first
= 1 u
= $305
(b)
Amount that Wendy had at first
= 3 u
= 3 x 305
= $915
Answer(s): (a) $305, (b) $915