Lynn and Shiyun went shopping together. Lynn brought thrice as much money as Shiyun. After Lynn had spent $780 and Shiyun had spent $170, they had an equal amount of money left. How much money did each of them have at first?
- Shiyun
- Lynn
|
Lynn |
Shiyun |
Before |
3 u |
1 u |
Change |
- $780 |
- $170 |
After |
3 u - $780 |
1 u - $170 |
(a)
The amounts that Lynn and Shiyun had in the end are the same.
3 u - 780 = 1 u - 170
3 u - 1 u = 780 - 170
2 u = 610
1 u = 610 ÷ 2 = 305
Amount that Shiyun had at first
= 1 u
= $305
(b)
Amount that Lynn had at first
= 3 u
= 3 x 305
= $915
Answer(s): (a) $305, (b) $915