Vincent, Sean, Ben and Luis shared $216. Luis received ¹₅ of the total amount of money received by Vincent, Sean and Ben. Vincent received ¹₃ of the total amount for Sean and Ben. Sean received ²₃ as much money as Ben. If Ben gave all his money to Luis, how much did Luis have more than Sean in the end?

Vincent	Sean	Ben	Luis	Total
5x4			1x4	6x4
1x5	3x5
	2x3	3x3
5 u	6 u	9 u	4 u	24 u

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

The total amount that Vincent, Sean and Ben have is repeated.  Make the total amount of Vincent, Sean and Ben the same. LCM of 20 and 5 is 20.

Total amount that Vincent, Sean, Ben and Luis shared = 24 u

24 u = 216

1 u = 216 ÷ 24 = 9

	Vincent	Sean	Ben	Luis
Before	5 u	6 u	9 u	4 u
Change			- 9 u	+ 9 u
After	5 u	6 u	0 u	13 u

Amount that Luis had if Ben gave him all his money
= 4 u + 9 u
= 13 u

Amount that Luis had more than Sean
= 13 u - 6 u
= 7 u
= 7 x 9
= $63

Answer(s): $63