Cody, Daniel, Fred and Oliver shared $546. Oliver received ³₄ of the total amount of money received by Cody, Daniel and Fred. Cody received ³₅ of the total amount for Daniel and Fred. Daniel received ¹₂ as much money as Fred. If Daniel gave all his money to Oliver, how much did Oliver have more than Cody in the end?

Cody	Daniel	Fred	Oliver	Total
4x6			3x6	7x6
3x3	5x3
	1x5	2x5
9 u	5 u	10 u	18 u	42 u

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

The total amount that Cody, Daniel and Fred have is repeated.  Make the total amount of Cody, Daniel and Fred the same. LCM of 24 and 4 is 24.

Total amount that Cody, Daniel, Fred and Oliver shared = 42 u

42 u = 546

1 u = 546 ÷ 42 = 13

	Cody	Daniel	Fred	Oliver
Before	9 u	5 u	10 u	18 u
Change		- 5 u		+ 5 u
After	9 u	0 u	10 u	23 u

Amount that Oliver had if Daniel gave him all his money
= 18 u + 5 u
= 23 u

Amount that Oliver had more than Cody
= 23 u - 9 u
= 14 u
= 14 x 13
= $182

Answer(s): $182