Carl, Henry, Vaidev and Paul shared $390. Paul received ¹₁₂ of the total amount of money received by Carl, Henry and Vaidev. Carl received ⁴₅ of the total amount for Henry and Vaidev. Henry received ¹₃ as much money as Vaidev. If Henry gave all his money to Paul, how much did Paul have more than Carl in the end?

Carl	Henry	Vaidev	Paul	Total
12x3			1x3	13x3
4x4	5x4
	1x5	3x5
16 u	5 u	15 u	3 u	39 u

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

The total amount that Carl, Henry and Vaidev have is repeated.  Make the total amount of Carl, Henry and Vaidev the same. LCM of 36 and 12 is 36.

Total amount that Carl, Henry, Vaidev and Paul shared = 39 u

39 u = 390

1 u = 390 ÷ 39 = 10

	Carl	Henry	Vaidev	Paul
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 Paul had if Henry gave him all his money
= 3 u + 5 u
= 8 u

Amount that Paul had more than Carl
= 8 u - 16 u
= -8 u
= -8 x 10
= $-80

Answer(s): $-80