Cathy and Nicole went shopping together. Cathy brought thrice as much money as Nicole. After Cathy had spent $850 and Nicole had spent $210, they had an equal amount of money left. How much money did each of them have at first?
- Nicole
- Cathy
|
Cathy |
Nicole |
Before |
3 u |
1 u |
Change |
- $850 |
- $210 |
After |
3 u - $850 |
1 u - $210 |
(a)
The amounts that Cathy and Nicole had in the end are the same.
3 u - 850 = 1 u - 210
3 u - 1 u = 850 - 210
2 u = 640
1 u = 640 ÷ 2 = 320
Amount that Nicole had at first
= 1 u
= $320
(b)
Amount that Cathy had at first
= 3 u
= 3 x 320
= $960
Answer(s): (a) $320, (b) $960