Warren, Jack, John and Simon shared $320. Simon received ³₅ of the total amount of money received by Warren, Jack and John. Warren received ¹₃ of the total amount for Jack and John. Jack received ²₃ as much money as John. If Jack gave all his money to Simon, how much did Simon have more than Warren in the end?

Warren	Jack	John	Simon	Total
5x4			3x4	8x4
1x5	3x5
	2x3	3x3
5 u	6 u	9 u	12 u	32 u

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

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

Total amount that Warren, Jack, John and Simon shared = 32 u

32 u = 320

1 u = 320 ÷ 32 = 10

	Warren	Jack	John	Simon
Before	5 u	6 u	9 u	12 u
Change		- 6 u		+ 6 u
After	5 u	0 u	9 u	18 u

Amount that Simon had if Jack gave him all his money
= 12 u + 6 u
= 18 u

Amount that Simon had more than Warren
= 18 u - 5 u
= 13 u
= 13 x 10
= $130

Answer(s): $130