Jean and Nicole went shopping together. Jean brought thrice as much money as Nicole. After Jean had spent $560 and Nicole had spent $110, they had an equal amount of money left. How much money did each of them have at first?
- Nicole
- Jean
|
Jean |
Nicole |
Before |
3 u |
1 u |
Change |
- $560 |
- $110 |
After |
3 u - $560 |
1 u - $110 |
(a)
The amounts that Jean and Nicole had in the end are the same.
3 u - 560 = 1 u - 110
3 u - 1 u = 560 - 110
2 u = 450
1 u = 450 ÷ 2 = 225
Amount that Nicole had at first
= 1 u
= $225
(b)
Amount that Jean had at first
= 3 u
= 3 x 225
= $675
Answer(s): (a) $225, (b) $675