Xavier, Harry, Ian and Ben shared $390. Ben received ¹₁₂ of the total amount of money received by Xavier, Harry and Ian. Xavier received ⁴₅ of the total amount for Harry and Ian. Harry received ¹₃ as much money as Ian. If Ian gave all his money to Ben, how much did Ben have more than Harry in the end?

Xavier	Harry	Ian	Ben	Total
12x3			1x3	13x3
4x4	5x4
	1x5	3x5
16 u	5 u	15 u	3 u	39 u

The total amount that Harry and Ian have is repeated.  Make the total amount of Harry and Ian the same.  LCM of 4 and 5 is 20.

The total amount that Xavier, Harry and Ian have is repeated.  Make the total amount of Xavier, Harry and Ian the same. LCM of 36 and 12 is 36.

Total amount that Xavier, Harry, Ian and Ben shared = 39 u

39 u = 390

1 u = 390 ÷ 39 = 10

	Xavier	Harry	Ian	Ben
Before	16 u	5 u	15 u	3 u
Change			- 15 u	+ 15 u
After	16 u	5 u	0 u	18 u

Amount that Ben had if Ian gave him all his money
= 3 u + 15 u
= 18 u

Amount that Ben had more than Harry
= 18 u - 5 u
= 13 u
= 13 x 10
= $130

Answer(s): $130