Luis, Vaidev, Fred and Howard shared $330. Howard received ¹₄ of the total amount of money received by Luis, Vaidev and Fred. Luis received ³₅ of the total amount for Vaidev and Fred. Vaidev received ¹₂ as much money as Fred. If Fred gave all his money to Howard, how much did Howard have more than Vaidev in the end?

Luis	Vaidev	Fred	Howard	Total
4x6			1x6	5x6
3x3	5x3
	1x5	2x5
9 u	5 u	10 u	6 u	30 u

The total amount that Vaidev and Fred have is repeated.  Make the total amount of Vaidev and Fred the same.  LCM of 3 and 5 is 15.

The total amount that Luis, Vaidev and Fred have is repeated.  Make the total amount of Luis, Vaidev and Fred the same. LCM of 24 and 4 is 24.

Total amount that Luis, Vaidev, Fred and Howard shared = 30 u

30 u = 330

1 u = 330 ÷ 30 = 11

	Luis	Vaidev	Fred	Howard
Before	9 u	5 u	10 u	6 u
Change			- 10 u	+ 10 u
After	9 u	5 u	0 u	16 u

Amount that Howard had if Fred gave him all his money
= 6 u + 10 u
= 16 u

Amount that Howard had more than Vaidev
= 16 u - 5 u
= 11 u
= 11 x 11
= $121

Answer(s): $121