Tim, Vincent, Xavier and Jeremy shared $420. Jeremy received ²₅ of the total amount of money received by Tim, Vincent and Xavier. Tim received ¹₃ of the total amount for Vincent and Xavier. Vincent received ²₃ as much money as Xavier. If Vincent gave all his money to Jeremy, how much did Jeremy have more than Tim in the end?

Tim	Vincent	Xavier	Jeremy	Total
5x4			2x4	7x4
1x5	3x5
	2x3	3x3
5 u	6 u	9 u	8 u	28 u

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

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

Total amount that Tim, Vincent, Xavier and Jeremy shared = 28 u

28 u = 420

1 u = 420 ÷ 28 = 15

	Tim	Vincent	Xavier	Jeremy
Before	5 u	6 u	9 u	8 u
Change		- 6 u		+ 6 u
After	5 u	0 u	9 u	14 u

Amount that Jeremy had if Vincent gave him all his money
= 8 u + 6 u
= 14 u

Amount that Jeremy had more than Tim
= 14 u - 5 u
= 9 u
= 9 x 15
= $135

Answer(s): $135