Cole, Julian, Daniel and Ben shared $288. Ben received ³₅ of the total amount of money received by Cole, Julian and Daniel. Cole received ¹₃ of the total amount for Julian and Daniel. Julian received ²₃ as much money as Daniel. If Julian gave all his money to Ben, how much did Ben have more than Cole in the end?

Cole	Julian	Daniel	Ben	Total
5x4			3x4	8x4
1x5	3x5
	2x3	3x3
5 u	6 u	9 u	12 u	32 u

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

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

Total amount that Cole, Julian, Daniel and Ben shared = 32 u

32 u = 288

1 u = 288 ÷ 32 = 9

	Cole	Julian	Daniel	Ben
Before	5 u	6 u	9 u	12 u
Change		- 6 u		+ 6 u
After	5 u	0 u	9 u	18 u

Amount that Ben had if Julian gave him all his money
= 12 u + 6 u
= 18 u

Amount that Ben had more than Cole
= 18 u - 5 u
= 13 u
= 13 x 9
= $117

Answer(s): $117