Andy, Wesley and Daniel shared a sum of money. The amount received by Wesley was
34 the amount of money received by Daniel. After Andy had given $40 to Wesley and $28 to Daniel, Wesley gave $4 to Daniel. In the end, 3 of them had the same amount of money. Find the difference between the amount of money that Andy and Wesley had at first.
|
Andy |
Wesley |
Daniel |
Before |
3 u + 104 |
3 u |
4 u |
Change 1 |
- 40 |
+ 40 |
|
Change 2 |
- 28 |
|
+ 28 |
Change 3 |
|
- 4 |
+ 4 |
After |
3 u + 36 |
3 u + 36 |
4 u + 32 |
Amount that Wesley had in the end = 3 u + 36
Amount that Daniel had in the end = 4 u + 32
Amount that Andy had at first
= 3 u + 36 + 40 + 28
= 3 u + 104
Amount that Wesley and Daniel had in the end is the same.
3 u + 36 = 4 u + 32
4 u - 3 u = 36 - 32
1 u = 4
Amount that Andy and Wesley had in the end is the same.
Amount that Andy had in the end
= 3 u + 36
= 3 x 4 + 36
= 12 + 36
= $48
Amount that Andy had at first
= 48 + 40 + 28
= $116
Difference in the amounts between Andy and Wesley at first
= 116 - 12
= $104
Answer(s): $104