Linda and Hazel went shopping together. Linda brought thrice as much money as Hazel. After Linda had spent $800 and Hazel had spent $140, they had an equal amount of money left. How much money did each of them have at first?
- Hazel
- Linda
|
Linda |
Hazel |
Before |
3 u |
1 u |
Change |
- $800 |
- $140 |
After |
3 u - $800 |
1 u - $140 |
(a)
The amounts that Linda and Hazel had in the end are the same.
3 u - 800 = 1 u - 140
3 u - 1 u = 800 - 140
2 u = 660
1 u = 660 ÷ 2 = 330
Amount that Hazel had at first
= 1 u
= $330
(b)
Amount that Linda had at first
= 3 u
= 3 x 330
= $990
Answer(s): (a) $330, (b) $990