Luis, Bryan, Julian and Ken shared $108. Ken received ⁴₅ of the total amount of money received by Luis, Bryan and Julian. Luis received ¹₃ of the total amount for Bryan and Julian. Bryan received ²₃ as much money as Julian. If Bryan gave all his money to Ken, how much did Ken have more than Luis in the end?

Luis	Bryan	Julian	Ken	Total
5x4			4x4	9x4
1x5	3x5
	2x3	3x3
5 u	6 u	9 u	16 u	36 u

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

The total amount that Luis, Bryan and Julian have is repeated.  Make the total amount of Luis, Bryan and Julian the same. LCM of 20 and 5 is 20.

Total amount that Luis, Bryan, Julian and Ken shared = 36 u

36 u = 108

1 u = 108 ÷ 36 = 3

	Luis	Bryan	Julian	Ken
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 Ken had if Bryan gave him all his money
= 16 u + 6 u
= 22 u

Amount that Ken had more than Luis
= 22 u - 5 u
= 17 u
= 17 x 3
= $51

Answer(s): $51