Eric, Sean, Vincent and Wesley shared $300. Wesley received ¹₄ of the total amount of money received by Eric, Sean and Vincent. Eric received ²₃ of the total amount for Sean and Vincent. Sean received ¹₃ as much money as Vincent. If Vincent gave all his money to Wesley, how much did Wesley have more than Sean in the end?

Eric	Sean	Vincent	Wesley	Total
4x5			1x5	5x5
2x4	3x4
	1x3	3x3
8 u	3 u	9 u	5 u	25 u

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

The total amount that Eric, Sean and Vincent have is repeated.  Make the total amount of Eric, Sean and Vincent the same. LCM of 20 and 4 is 20.

Total amount that Eric, Sean, Vincent and Wesley shared = 25 u

25 u = 300

1 u = 300 ÷ 25 = 12

	Eric	Sean	Vincent	Wesley
Before	8 u	3 u	9 u	5 u
Change			- 9 u	+ 9 u
After	8 u	3 u	0 u	14 u

Amount that Wesley had if Vincent gave him all his money
= 5 u + 9 u
= 14 u

Amount that Wesley had more than Sean
= 14 u - 3 u
= 11 u
= 11 x 12
= $132

Answer(s): $132