Jack, Rael, Jeremy and Lee shared $468. Lee received ⁴₅ of the total amount of money received by Jack, Rael and Jeremy. Jack received ¹₃ of the total amount for Rael and Jeremy. Rael received ²₃ as much money as Jeremy. If Rael gave all his money to Lee, how much did Lee have more than Jack in the end?

Jack	Rael	Jeremy	Lee	Total
5x4			4x4	9x4
1x5	3x5
	2x3	3x3
5 u	6 u	9 u	16 u	36 u

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

The total amount that Jack, Rael and Jeremy have is repeated.  Make the total amount of Jack, Rael and Jeremy the same. LCM of 20 and 5 is 20.

Total amount that Jack, Rael, Jeremy and Lee shared = 36 u

36 u = 468

1 u = 468 ÷ 36 = 13

	Jack	Rael	Jeremy	Lee
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 Lee had if Rael gave him all his money
= 16 u + 6 u
= 22 u

Amount that Lee had more than Jack
= 22 u - 5 u
= 17 u
= 17 x 13
= $221

Answer(s): $221