Jane and Jade went shopping together. Jane brought thrice as much money as Jade. After Jane had spent $600 and Jade had spent $180, they had an equal amount of money left. How much money did each of them have at first?
- Jade
- Jane
|
Jane |
Jade |
Before |
3 u |
1 u |
Change |
- $600 |
- $180 |
After |
3 u - $600 |
1 u - $180 |
(a)
The amounts that Jane and Jade had in the end are the same.
3 u - 600 = 1 u - 180
3 u - 1 u = 600 - 180
2 u = 420
1 u = 420 ÷ 2 = 210
Amount that Jade had at first
= 1 u
= $210
(b)
Amount that Jane had at first
= 3 u
= 3 x 210
= $630
Answer(s): (a) $210, (b) $630