Billy, Gabriel, Xavier and Jack shared $1056. Jack received ⁵₆ of the total amount of money received by Billy, Gabriel and Xavier. Billy received ⁴₅ of the total amount for Gabriel and Xavier. Gabriel received ¹₃ as much money as Xavier. If Xavier gave all his money to Jack, how much did Jack have more than Gabriel in the end?

Billy	Gabriel	Xavier	Jack	Total
6x6			5x6	11x6
4x4	5x4
	1x5	3x5
16 u	5 u	15 u	30 u	66 u

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

The total amount that Billy, Gabriel and Xavier have is repeated.  Make the total amount of Billy, Gabriel and Xavier the same. LCM of 36 and 6 is 36.

Total amount that Billy, Gabriel, Xavier and Jack shared = 66 u

66 u = 1056

1 u = 1056 ÷ 66 = 16

	Billy	Gabriel	Xavier	Jack
Before	16 u	5 u	15 u	30 u
Change			- 15 u	+ 15 u
After	16 u	5 u	0 u	45 u

Amount that Jack had if Xavier gave him all his money
= 30 u + 15 u
= 45 u

Amount that Jack had more than Gabriel
= 45 u - 5 u
= 40 u
= 40 x 16
= $640

Answer(s): $640