Cole, Julian, Seth and Owen shared $455. Owen received ³₄ of the total amount of money received by Cole, Julian and Seth. Cole received ²₃ of the total amount for Julian and Seth. Julian received ¹₃ as much money as Seth. If Julian gave all his money to Owen, how much did Owen have more than Cole in the end?

Cole	Julian	Seth	Owen	Total
4x5			3x5	7x5
2x4	3x4
	1x3	3x3
8 u	3 u	9 u	15 u	35 u

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

The total amount that Cole, Julian and Seth have is repeated.  Make the total amount of Cole, Julian and Seth the same. LCM of 20 and 4 is 20.

Total amount that Cole, Julian, Seth and Owen shared = 35 u

35 u = 455

1 u = 455 ÷ 35 = 13

	Cole	Julian	Seth	Owen
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 Owen had if Julian gave him all his money
= 15 u + 3 u
= 18 u

Amount that Owen had more than Cole
= 18 u - 8 u
= 10 u
= 10 x 13
= $130

Answer(s): $130