Eric, Zane, Gabriel and Ethan shared $570. Ethan received ¹₄ of the total amount of money received by Eric, Zane and Gabriel. Eric received ³₅ of the total amount for Zane and Gabriel. Zane received ¹₂ as much money as Gabriel. If Gabriel gave all his money to Ethan, how much did Ethan have more than Zane in the end?

Eric	Zane	Gabriel	Ethan	Total
4x6			1x6	5x6
3x3	5x3
	1x5	2x5
9 u	5 u	10 u	6 u	30 u

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

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

Total amount that Eric, Zane, Gabriel and Ethan shared = 30 u

30 u = 570

1 u = 570 ÷ 30 = 19

	Eric	Zane	Gabriel	Ethan
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 Ethan had if Gabriel gave him all his money
= 6 u + 10 u
= 16 u

Amount that Ethan had more than Zane
= 16 u - 5 u
= 11 u
= 11 x 19
= $209

Answer(s): $209