Harry, Japheth, Brandon and Howard shared $1320. Howard received ⁵₆ of the total amount of money received by Harry, Japheth and Brandon. Harry received ⁴₅ of the total amount for Japheth and Brandon. Japheth received ¹₃ as much money as Brandon. If Japheth gave all his money to Howard, how much did Howard have more than Harry in the end?

Harry	Japheth	Brandon	Howard	Total
6x6			5x6	11x6
4x4	5x4
	1x5	3x5
16 u	5 u	15 u	30 u	66 u

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

The total amount that Harry, Japheth and Brandon have is repeated.  Make the total amount of Harry, Japheth and Brandon the same. LCM of 36 and 6 is 36.

Total amount that Harry, Japheth, Brandon and Howard shared = 66 u

66 u = 1320

1 u = 1320 ÷ 66 = 20

	Harry	Japheth	Brandon	Howard
Before	16 u	5 u	15 u	30 u
Change		- 5 u		+ 5 u
After	16 u	0 u	15 u	35 u

Amount that Howard had if Japheth gave him all his money
= 30 u + 5 u
= 35 u

Amount that Howard had more than Harry
= 35 u - 16 u
= 19 u
= 19 x 20
= $380

Answer(s): $380