David, Ken, Lee and Vincent shared $378. Vincent received ¹₆ of the total amount of money received by David, Ken and Lee. David received ⁴₅ of the total amount for Ken and Lee. Ken received ¹₃ as much money as Lee. If Ken gave all his money to Vincent, how much did Vincent have more than David in the end?

David	Ken	Lee	Vincent	Total
6x6			1x6	7x6
4x4	5x4
	1x5	3x5
16 u	5 u	15 u	6 u	42 u

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

The total amount that David, Ken and Lee have is repeated.  Make the total amount of David, Ken and Lee the same. LCM of 36 and 6 is 36.

Total amount that David, Ken, Lee and Vincent shared = 42 u

42 u = 378

1 u = 378 ÷ 42 = 9

	David	Ken	Lee	Vincent
Before	16 u	5 u	15 u	6 u
Change		- 5 u		+ 5 u
After	16 u	0 u	15 u	11 u

Amount that Vincent had if Ken gave him all his money
= 6 u + 5 u
= 11 u

Amount that Vincent had more than David
= 11 u - 16 u
= -5 u
= -5 x 9
= $-45

Answer(s): $-45