Julian, Justin, Gabriel and Rael shared $252. Rael received ⁴₅ of the total amount of money received by Julian, Justin and Gabriel. Julian received ¹₃ of the total amount for Justin and Gabriel. Justin received ²₃ as much money as Gabriel. If Justin gave all his money to Rael, how much did Rael have more than Julian in the end?

Julian	Justin	Gabriel	Rael	Total
5x4			4x4	9x4
1x5	3x5
	2x3	3x3
5 u	6 u	9 u	16 u	36 u

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

The total amount that Julian, Justin and Gabriel have is repeated.  Make the total amount of Julian, Justin and Gabriel the same. LCM of 20 and 5 is 20.

Total amount that Julian, Justin, Gabriel and Rael shared = 36 u

36 u = 252

1 u = 252 ÷ 36 = 7

	Julian	Justin	Gabriel	Rael
Before	5 u	6 u	9 u	16 u
Change		- 6 u		+ 6 u
After	5 u	0 u	9 u	22 u

Amount that Rael had if Justin gave him all his money
= 16 u + 6 u
= 22 u

Amount that Rael had more than Julian
= 22 u - 5 u
= 17 u
= 17 x 7
= $119

Answer(s): $119