Seth, Eric, Ben and Gabriel shared $294. Gabriel received ³₄ of the total amount of money received by Seth, Eric and Ben. Seth received ³₅ of the total amount for Eric and Ben. Eric received ¹₂ as much money as Ben. If Eric gave all his money to Gabriel, how much did Gabriel have more than Seth in the end?

Seth	Eric	Ben	Gabriel	Total
4x6			3x6	7x6
3x3	5x3
	1x5	2x5
9 u	5 u	10 u	18 u	42 u

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

The total amount that Seth, Eric and Ben have is repeated.  Make the total amount of Seth, Eric and Ben the same. LCM of 24 and 4 is 24.

Total amount that Seth, Eric, Ben and Gabriel shared = 42 u

42 u = 294

1 u = 294 ÷ 42 = 7

	Seth	Eric	Ben	Gabriel
Before	9 u	5 u	10 u	18 u
Change		- 5 u		+ 5 u
After	9 u	0 u	10 u	23 u

Amount that Gabriel had if Eric gave him all his money
= 18 u + 5 u
= 23 u

Amount that Gabriel had more than Seth
= 23 u - 9 u
= 14 u
= 14 x 7
= $98

Answer(s): $98