Cody, Sean, Zane and Fred shared $780. Fred received ¹₁₂ of the total amount of money received by Cody, Sean and Zane. Cody received ⁴₅ of the total amount for Sean and Zane. Sean received ¹₃ as much money as Zane. If Sean gave all his money to Fred, how much did Fred have more than Cody in the end?

Cody	Sean	Zane	Fred	Total
12x3			1x3	13x3
4x4	5x4
	1x5	3x5
16 u	5 u	15 u	3 u	39 u

The total amount that Sean and Zane have is repeated.  Make the total amount of Sean and Zane the same.  LCM of 4 and 5 is 20.

The total amount that Cody, Sean and Zane have is repeated.  Make the total amount of Cody, Sean and Zane the same. LCM of 36 and 12 is 36.

Total amount that Cody, Sean, Zane and Fred shared = 39 u

39 u = 780

1 u = 780 ÷ 39 = 20

	Cody	Sean	Zane	Fred
Before	16 u	5 u	15 u	3 u
Change		- 5 u		+ 5 u
After	16 u	0 u	15 u	8 u

Amount that Fred had if Sean gave him all his money
= 3 u + 5 u
= 8 u

Amount that Fred had more than Cody
= 8 u - 16 u
= -8 u
= -8 x 20
= $-160

Answer(s): $-160