Asher, Tommy, Ian and Ben shared $540. Ben received ⁴₅ of the total amount of money received by Asher, Tommy and Ian. Asher received ¹₃ of the total amount for Tommy and Ian. Tommy received ²₃ as much money as Ian. If Ian gave all his money to Ben, how much did Ben have more than Tommy in the end?

Asher	Tommy	Ian	Ben	Total
5x4			4x4	9x4
1x5	3x5
	2x3	3x3
5 u	6 u	9 u	16 u	36 u

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

The total amount that Asher, Tommy and Ian have is repeated.  Make the total amount of Asher, Tommy and Ian the same. LCM of 20 and 5 is 20.

Total amount that Asher, Tommy, Ian and Ben shared = 36 u

36 u = 540

1 u = 540 ÷ 36 = 15

	Asher	Tommy	Ian	Ben
Before	5 u	6 u	9 u	16 u
Change			- 9 u	+ 9 u
After	5 u	6 u	0 u	25 u

Amount that Ben had if Ian gave him all his money
= 16 u + 9 u
= 25 u

Amount that Ben had more than Tommy
= 25 u - 6 u
= 19 u
= 19 x 15
= $285

Answer(s): $285