Eric, Lee, Archie and Luke shared $324. Luke received ⁴₅ of the total amount of money received by Eric, Lee and Archie. Eric received ¹₃ of the total amount for Lee and Archie. Lee received ²₃ as much money as Archie. If Lee gave all his money to Luke, how much did Luke have more than Eric in the end?

Eric	Lee	Archie	Luke	Total
5x4			4x4	9x4
1x5	3x5
	2x3	3x3
5 u	6 u	9 u	16 u	36 u

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

The total amount that Eric, Lee and Archie have is repeated.  Make the total amount of Eric, Lee and Archie the same. LCM of 20 and 5 is 20.

Total amount that Eric, Lee, Archie and Luke shared = 36 u

36 u = 324

1 u = 324 ÷ 36 = 9

	Eric	Lee	Archie	Luke
Before	5 u	6 u	9 u	16 u
Change		- 6 u		+ 6 u
After	5 u	0 u	9 u	22 u

Amount that Luke had if Lee gave him all his money
= 16 u + 6 u
= 22 u

Amount that Luke had more than Eric
= 22 u - 5 u
= 17 u
= 17 x 9
= $153

Answer(s): $153