Andy and Vincent had a total of $162. Andy gave $25 to Vincent. In return, Vincent gave
17 of his money to Andy. In the end, Andy had twice as much money as Vincent. How much money did Andy have at first?
| |
Andy |
Vincent |
Total |
| Before |
|
|
$162 |
| Change 1 |
- $25 |
+ $25 |
|
| After 1 |
|
7 p |
|
| Change 2 |
+ 1 p |
- 1 p |
|
| After 2 |
|
6 p |
|
Comparing Andy
and Vincent
in the end |
2 u |
1 u |
$162 |
The total amount that Vincent and Andy had remains unchanged.
Total amount in the end
= 2 u + 1 u
= 3 u
3 u = 162
1 u = 162 ÷ 3 = 54
Amount that Andy has in the end
= 2 u
= 2 x 54
= $108
Amount that Vincent has in the end
= 1 u
= $54
6 p = 1 u = 54
1 p = 54 ÷ 6 = 9
Amount that Vincent gave to Andy
= 1 p
= 1 x 9
= $9
Amount that Andy had at first
= 108 - 9 + 25
= $124
Answer(s): $124
