John, Carl, Dylan and Oliver shared $432. Oliver received ⁴₅ of the total amount of money received by John, Carl and Dylan. John received ¹₃ of the total amount for Carl and Dylan. Carl received ²₃ as much money as Dylan. If Dylan gave all his money to Oliver, how much did Oliver have more than Carl in the end?

John	Carl	Dylan	Oliver	Total
5x4			4x4	9x4
1x5	3x5
	2x3	3x3
5 u	6 u	9 u	16 u	36 u

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

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

Total amount that John, Carl, Dylan and Oliver shared = 36 u

36 u = 432

1 u = 432 ÷ 36 = 12

	John	Carl	Dylan	Oliver
Before	5 u	6 u	9 u	16 u
Change			- 9 u	+ 9 u
After	5 u	6 u	0 u	25 u

Amount that Oliver had if Dylan gave him all his money
= 16 u + 9 u
= 25 u

Amount that Oliver had more than Carl
= 25 u - 6 u
= 19 u
= 19 x 12
= $228

Answer(s): $228