Natalie and Eva went shopping together. Natalie brought thrice as much money as Eva. After Natalie had spent $730 and Eva had spent $200, they had an equal amount of money left. How much money did each of them have at first?
- Eva
- Natalie
|
Natalie |
Eva |
Before |
3 u |
1 u |
Change |
- $730 |
- $200 |
After |
3 u - $730 |
1 u - $200 |
(a)
The amounts that Natalie and Eva had in the end are the same.
3 u - 730 = 1 u - 200
3 u - 1 u = 730 - 200
2 u = 530
1 u = 530 ÷ 2 = 265
Amount that Eva had at first
= 1 u
= $265
(b)
Amount that Natalie had at first
= 3 u
= 3 x 265
= $795
Answer(s): (a) $265, (b) $795