Albert, Neave, Andy and Ben shared $340. Ben received
13 of the total amount of money received by Albert, Neave and Andy. Albert received
14 of the total amount for Neave and Andy. Neave received
12 as much money as Andy. If Neave gave all his money to Ben, how much did Ben have more than Albert in the end?
Albert |
Neave |
Andy |
Ben |
Total |
3x5 |
1x5 |
4x5 |
1x3 |
4x3 |
|
|
|
1x4 |
2x4 |
|
|
3 u |
4 u |
8 u |
5 u |
20 u |
The total amount that Neave and Andy have is repeated. Make the total amount of Neave and Andy the same. LCM of 3 and 4 is 12.
The total amount that Albert, Neave and Andy have is repeated. Make the total amount of Albert, Neave and Andy the same. LCM of 15 and 3 is 15.
Total amount that Albert, Neave, Andy and Ben shared = 20 u
20 u = 340
1 u = 340 ÷ 20 = 17
|
Albert |
Neave |
Andy |
Ben |
Before |
3 u |
4 u |
8 u |
5 u |
Change |
|
- 4 u |
|
+ 4 u |
After |
3 u |
0 u |
8 u |
9 u |
Amount that Ben had if Neave gave him all his money
= 5 u + 4 u
= 9 u
Amount that Ben had more than Albert
= 9 u - 3 u
= 6 u
= 6 x 17
= $102
Answer(s): $102