Japheth, Ethan, Flynn and Zeph shared $700. Zeph received ³₄ of the total amount of money received by Japheth, Ethan and Flynn. Japheth received ²₃ of the total amount for Ethan and Flynn. Ethan received ¹₃ as much money as Flynn. If Ethan gave all his money to Zeph, how much did Zeph have more than Japheth in the end?

Japheth	Ethan	Flynn	Zeph	Total
4x5			3x5	7x5
2x4	3x4
	1x3	3x3
8 u	3 u	9 u	15 u	35 u

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

The total amount that Japheth, Ethan and Flynn have is repeated.  Make the total amount of Japheth, Ethan and Flynn the same. LCM of 20 and 4 is 20.

Total amount that Japheth, Ethan, Flynn and Zeph shared = 35 u

35 u = 700

1 u = 700 ÷ 35 = 20

	Japheth	Ethan	Flynn	Zeph
Before	8 u	3 u	9 u	15 u
Change		- 3 u		+ 3 u
After	8 u	0 u	9 u	18 u

Amount that Zeph had if Ethan gave him all his money
= 15 u + 3 u
= 18 u

Amount that Zeph had more than Japheth
= 18 u - 8 u
= 10 u
= 10 x 20
= $200

Answer(s): $200