John and Dylan had a total of $300. John gave $42 to Dylan. In return, Dylan gave
13 of his money to John. In the end, John had twice as much money as Dylan. How much money did John have at first?
| |
John |
Dylan |
Total |
| Before |
|
|
$300 |
| Change 1 |
- $42 |
+ $42 |
|
| After 1 |
|
3 p |
|
| Change 2 |
+ 1 p |
- 1 p |
|
| After 2 |
|
2 p |
|
Comparing John
and Dylan
in the end |
2 u |
1 u |
$300 |
The total amount that Dylan and John had remains unchanged.
Total amount in the end
= 2 u + 1 u
= 3 u
3 u = 300
1 u = 300 ÷ 3 = 100
Amount that John has in the end
= 2 u
= 2 x 100
= $200
Amount that Dylan has in the end
= 1 u
= $100
2 p = 1 u = 100
1 p = 100 ÷ 2 = 50
Amount that Dylan gave to John
= 1 p
= 1 x 50
= $50
Amount that John had at first
= 200 - 50 + 42
= $192
Answer(s): $192
