Elijah, Neave, Ethan and Fabian shared $144. Fabian received ⁴₅ of the total amount of money received by Elijah, Neave and Ethan. Elijah received ¹₃ of the total amount for Neave and Ethan. Neave received ²₃ as much money as Ethan. If Ethan gave all his money to Fabian, how much did Fabian have more than Neave in the end?

Elijah	Neave	Ethan	Fabian	Total
5x4			4x4	9x4
1x5	3x5
	2x3	3x3
5 u	6 u	9 u	16 u	36 u

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

The total amount that Elijah, Neave and Ethan have is repeated.  Make the total amount of Elijah, Neave and Ethan the same. LCM of 20 and 5 is 20.

Total amount that Elijah, Neave, Ethan and Fabian shared = 36 u

36 u = 144

1 u = 144 ÷ 36 = 4

	Elijah	Neave	Ethan	Fabian
Before	5 u	6 u	9 u	16 u
Change			- 9 u	+ 9 u
After	5 u	6 u	0 u	25 u

Amount that Fabian had if Ethan gave him all his money
= 16 u + 9 u
= 25 u

Amount that Fabian had more than Neave
= 25 u - 6 u
= 19 u
= 19 x 4
= $76

Answer(s): $76