Harry, Pierre, Jack and John shared $195. John received ¹₁₂ of the total amount of money received by Harry, Pierre and Jack. Harry received ⁴₅ of the total amount for Pierre and Jack. Pierre received ¹₃ as much money as Jack. If Pierre gave all his money to John, how much did John have more than Harry in the end?

Harry	Pierre	Jack	John	Total
12x3			1x3	13x3
4x4	5x4
	1x5	3x5
16 u	5 u	15 u	3 u	39 u

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

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

Total amount that Harry, Pierre, Jack and John shared = 39 u

39 u = 195

1 u = 195 ÷ 39 = 5

	Harry	Pierre	Jack	John
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 John had if Pierre gave him all his money
= 3 u + 5 u
= 8 u

Amount that John had more than Harry
= 8 u - 16 u
= -8 u
= -8 x 5
= $-40

Answer(s): $-40