Riordan, Bryan, Lee and Ethan shared $225. Ethan received ²₃ of the total amount of money received by Riordan, Bryan and Lee. Riordan received ¹₄ of the total amount for Bryan and Lee. Bryan received ¹₂ as much money as Lee. If Bryan gave all his money to Ethan, how much did Ethan have more than Riordan in the end?

Riordan	Bryan	Lee	Ethan	Total
3x5			2x5	5x5
1x3	4x3
	1x4	2x4
3 u	4 u	8 u	10 u	25 u

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

The total amount that Riordan, Bryan and Lee have is repeated.  Make the total amount of Riordan, Bryan and Lee the same. LCM of 15 and 3 is 15.

Total amount that Riordan, Bryan, Lee and Ethan shared = 25 u

25 u = 225

1 u = 225 ÷ 25 = 9

	Riordan	Bryan	Lee	Ethan
Before	3 u	4 u	8 u	10 u
Change		- 4 u		+ 4 u
After	3 u	0 u	8 u	14 u

Amount that Ethan had if Bryan gave him all his money
= 10 u + 4 u
= 14 u

Amount that Ethan had more than Riordan
= 14 u - 3 u
= 11 u
= 11 x 9
= $99

Answer(s): $99