Cole, Carl, Vincent and Xavier shared $792. Xavier received ⁵₆ of the total amount of money received by Cole, Carl and Vincent. Cole received ⁴₅ of the total amount for Carl and Vincent. Carl received ¹₃ as much money as Vincent. If Carl gave all his money to Xavier, how much did Xavier have more than Cole in the end?

Cole	Carl	Vincent	Xavier	Total
6x6			5x6	11x6
4x4	5x4
	1x5	3x5
16 u	5 u	15 u	30 u	66 u

The total amount that Carl and Vincent have is repeated.  Make the total amount of Carl and Vincent the same.  LCM of 4 and 5 is 20.

The total amount that Cole, Carl and Vincent have is repeated.  Make the total amount of Cole, Carl and Vincent the same. LCM of 36 and 6 is 36.

Total amount that Cole, Carl, Vincent and Xavier shared = 66 u

66 u = 792

1 u = 792 ÷ 66 = 12

	Cole	Carl	Vincent	Xavier
Before	16 u	5 u	15 u	30 u
Change		- 5 u		+ 5 u
After	16 u	0 u	15 u	35 u

Amount that Xavier had if Carl gave him all his money
= 30 u + 5 u
= 35 u

Amount that Xavier had more than Cole
= 35 u - 16 u
= 19 u
= 19 x 12
= $228

Answer(s): $228