Seth, Riordan, Jack and Ken shared $72. Ken received ¹₅ of the total amount of money received by Seth, Riordan and Jack. Seth received ¹₃ of the total amount for Riordan and Jack. Riordan received ²₃ as much money as Jack. If Jack gave all his money to Ken, how much did Ken have more than Riordan in the end?

Seth	Riordan	Jack	Ken	Total
5x4			1x4	6x4
1x5	3x5
	2x3	3x3
5 u	6 u	9 u	4 u	24 u

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

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

Total amount that Seth, Riordan, Jack and Ken shared = 24 u

24 u = 72

1 u = 72 ÷ 24 = 3

	Seth	Riordan	Jack	Ken
Before	5 u	6 u	9 u	4 u
Change			- 9 u	+ 9 u
After	5 u	6 u	0 u	13 u

Amount that Ken had if Jack gave him all his money
= 4 u + 9 u
= 13 u

Amount that Ken had more than Riordan
= 13 u - 6 u
= 7 u
= 7 x 3
= $21

Answer(s): $21