Wesley and Asher had a total of $180. Wesley gave $23 to Asher. In return, Asher gave
16 of his money to Wesley. In the end, Wesley had twice as much money as Asher. How much money did Wesley have at first?
| |
Wesley |
Asher |
Total |
| Before |
|
|
$180 |
| Change 1 |
- $23 |
+ $23 |
|
| After 1 |
|
6 p |
|
| Change 2 |
+ 1 p |
- 1 p |
|
| After 2 |
|
5 p |
|
Comparing Wesley
and Asher
in the end |
2 u |
1 u |
$180 |
The total amount that Asher and Wesley had remains unchanged.
Total amount in the end
= 2 u + 1 u
= 3 u
3 u = 180
1 u = 180 ÷ 3 = 60
Amount that Wesley has in the end
= 2 u
= 2 x 60
= $120
Amount that Asher has in the end
= 1 u
= $60
5 p = 1 u = 60
1 p = 60 ÷ 5 = 12
Amount that Asher gave to Wesley
= 1 p
= 1 x 12
= $12
Amount that Wesley had at first
= 120 - 12 + 23
= $131
Answer(s): $131
