Owen, John, Xavier and Dylan shared $640. Dylan received ³₅ of the total amount of money received by Owen, John and Xavier. Owen received ¹₃ of the total amount for John and Xavier. John received ²₃ as much money as Xavier. If Xavier gave all his money to Dylan, how much did Dylan have more than John in the end?

Owen	John	Xavier	Dylan	Total
5x4			3x4	8x4
1x5	3x5
	2x3	3x3
5 u	6 u	9 u	12 u	32 u

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

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

Total amount that Owen, John, Xavier and Dylan shared = 32 u

32 u = 640

1 u = 640 ÷ 32 = 20

	Owen	John	Xavier	Dylan
Before	5 u	6 u	9 u	12 u
Change			- 9 u	+ 9 u
After	5 u	6 u	0 u	21 u

Amount that Dylan had if Xavier gave him all his money
= 12 u + 9 u
= 21 u

Amount that Dylan had more than John
= 21 u - 6 u
= 15 u
= 15 x 20
= $300

Answer(s): $300