Fabian, Albert, Luke and Peter shared $440. Peter received ⁵₆ of the total amount of money received by Fabian, Albert and Luke. Fabian received ³₅ of the total amount for Albert and Luke. Albert received ¹₂ as much money as Luke. If Luke gave all his money to Peter, how much did Peter have more than Albert in the end?

Fabian	Albert	Luke	Peter	Total
6x4			5x4	11x4
3x3	5x3
	1x5	2x5
9 u	5 u	10 u	20 u	44 u

The total amount that Albert and Luke have is repeated.  Make the total amount of Albert and Luke the same.  LCM of 3 and 5 is 15.

The total amount that Fabian, Albert and Luke have is repeated.  Make the total amount of Fabian, Albert and Luke the same. LCM of 24 and 6 is 24.

Total amount that Fabian, Albert, Luke and Peter shared = 44 u

44 u = 440

1 u = 440 ÷ 44 = 10

	Fabian	Albert	Luke	Peter
Before	9 u	5 u	10 u	20 u
Change			- 10 u	+ 10 u
After	9 u	5 u	0 u	30 u

Amount that Peter had if Luke gave him all his money
= 20 u + 10 u
= 30 u

Amount that Peter had more than Albert
= 30 u - 5 u
= 25 u
= 25 x 10
= $250

Answer(s): $250