Asher, Valen, Andy and Oliver shared $60. Oliver received
13 of the total amount of money received by Asher, Valen and Andy. Asher received
14 of the total amount for Valen and Andy. Valen received
12 as much money as Andy. If Andy gave all his money to Oliver, how much did Oliver have more than Valen in the end?
Asher |
Valen |
Andy |
Oliver |
Total |
3x5 |
1x5 |
4x5 |
1x3 |
4x3 |
|
|
|
1x4 |
2x4 |
|
|
3 u |
4 u |
8 u |
5 u |
20 u |
The total amount that Valen and Andy have is repeated. Make the total amount of Valen and Andy the same. LCM of 3 and 4 is 12.
The total amount that Asher, Valen and Andy have is repeated. Make the total amount of Asher, Valen and Andy the same. LCM of 15 and 3 is 15.
Total amount that Asher, Valen, Andy and Oliver shared = 20 u
20 u = 60
1 u = 60 ÷ 20 = 3
|
Asher |
Valen |
Andy |
Oliver |
Before |
3 u |
4 u |
8 u |
5 u |
Change |
|
|
- 8 u |
+ 8 u |
After |
3 u |
4 u |
0 u |
13 u |
Amount that Oliver had if Andy gave him all his money
= 5 u + 8 u
= 13 u
Amount that Oliver had more than Valen
= 13 u - 4 u
= 9 u
= 9 x 3
= $27
Answer(s): $27