Liam had thrice as much money as Shiyun. After Liam had given Shiyun $143, they had an equal amount of money left. How much money did each of them have at first?
- Shiyun
- Liam
|
Shiyun |
Liam |
Before |
1 u |
3 u |
Change |
+ $143 |
- $143 |
After |
1 u + $143 |
3 u - $143 |
The amounts that Liam and Shiyun had in the end are the same.
3 u - 143 = 1 u + 143
3 u - 1 u = 143 + 143
2 u = 286
1 u = 286 ÷ 2 = 143
Amount that Shiyun had at first
= 1 u
= $143
Amount that Liam had at first
= 3 u
= 3 x 143
= $429
Answer(s): (a) $143; (b) $429