Peter, Owen, Pierre and Henry shared $507. Henry received ¹₁₂ of the total amount of money received by Peter, Owen and Pierre. Peter received ⁴₅ of the total amount for Owen and Pierre. Owen received ¹₃ as much money as Pierre. If Owen gave all his money to Henry, how much did Henry have more than Peter in the end?

Peter	Owen	Pierre	Henry	Total
12x3			1x3	13x3
4x4	5x4
	1x5	3x5
16 u	5 u	15 u	3 u	39 u

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

The total amount that Peter, Owen and Pierre have is repeated.  Make the total amount of Peter, Owen and Pierre the same. LCM of 36 and 12 is 36.

Total amount that Peter, Owen, Pierre and Henry shared = 39 u

39 u = 507

1 u = 507 ÷ 39 = 13

	Peter	Owen	Pierre	Henry
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 Henry had if Owen gave him all his money
= 3 u + 5 u
= 8 u

Amount that Henry had more than Peter
= 8 u - 16 u
= -8 u
= -8 x 13
= $-104

Answer(s): $-104