Archie, Brandon, Fred and Justin shared $425. Justin received ²₃ of the total amount of money received by Archie, Brandon and Fred. Archie received ¹₄ of the total amount for Brandon and Fred. Brandon received ¹₂ as much money as Fred. If Brandon gave all his money to Justin, how much did Justin have more than Archie in the end?

Archie	Brandon	Fred	Justin	Total
3x5			2x5	5x5
1x3	4x3
	1x4	2x4
3 u	4 u	8 u	10 u	25 u

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

The total amount that Archie, Brandon and Fred have is repeated.  Make the total amount of Archie, Brandon and Fred the same. LCM of 15 and 3 is 15.

Total amount that Archie, Brandon, Fred and Justin shared = 25 u

25 u = 425

1 u = 425 ÷ 25 = 17

	Archie	Brandon	Fred	Justin
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 Justin had if Brandon gave him all his money
= 10 u + 4 u
= 14 u

Amount that Justin had more than Archie
= 14 u - 3 u
= 11 u
= 11 x 17
= $187

Answer(s): $187