Mark, Fred, Howard and Gabriel shared $560. Gabriel received ³₄ of the total amount of money received by Mark, Fred and Howard. Mark received ²₃ of the total amount for Fred and Howard. Fred received ¹₃ as much money as Howard. If Howard gave all his money to Gabriel, how much did Gabriel have more than Fred in the end?

Mark	Fred	Howard	Gabriel	Total
4x5			3x5	7x5
2x4	3x4
	1x3	3x3
8 u	3 u	9 u	15 u	35 u

The total amount that Fred and Howard have is repeated.  Make the total amount of Fred and Howard the same.  LCM of 4 and 3 is 12.

The total amount that Mark, Fred and Howard have is repeated.  Make the total amount of Mark, Fred and Howard the same. LCM of 20 and 4 is 20.

Total amount that Mark, Fred, Howard and Gabriel shared = 35 u

35 u = 560

1 u = 560 ÷ 35 = 16

	Mark	Fred	Howard	Gabriel
Before	8 u	3 u	9 u	15 u
Change			- 9 u	+ 9 u
After	8 u	3 u	0 u	24 u

Amount that Gabriel had if Howard gave him all his money
= 15 u + 9 u
= 24 u

Amount that Gabriel had more than Fred
= 24 u - 3 u
= 21 u
= 21 x 16
= $336

Answer(s): $336