Emily and Min went on a tour together. Emily brought thrice as much money as Min. After Emily had spent $780 and Min had spent $200, they had an equal amount of money left. How much money did each of them have at first?
- Min
- Emily
|
Emily |
Min |
Before |
3 u |
1 u |
Change |
- $780 |
- $200 |
After |
3 u - $780 |
1 u - $200 |
(a)
The amounts that Emily and Min had in the end are the same.
3 u - 780 = 1 u - 200
3 u - 1 u = 780 - 200
2 u = 580
1 u = 580 ÷ 2 = 290
Amount that Min had at first
= 1 u
= $290
(b)
Amount that Emily had at first
= 3 u
= 3 x 290
= $870
Answer(s): (a) $290, (b) $870