Tommy, Carl, Oliver and Ryan shared $360. Ryan received ¹₃ of the total amount of money received by Tommy, Carl and Oliver. Tommy received ¹₄ of the total amount for Carl and Oliver. Carl received ¹₂ as much money as Oliver. If Carl gave all his money to Ryan, how much did Ryan have more than Tommy in the end?

Tommy	Carl	Oliver	Ryan	Total
3x5			1x5	4x5
1x3	4x3
	1x4	2x4
3 u	4 u	8 u	5 u	20 u

The total amount that Carl and Oliver have is repeated.  Make the total amount of Carl and Oliver the same.  LCM of 3 and 4 is 12.

The total amount that Tommy, Carl and Oliver have is repeated.  Make the total amount of Tommy, Carl and Oliver the same. LCM of 15 and 3 is 15.

Total amount that Tommy, Carl, Oliver and Ryan shared = 20 u

20 u = 360

1 u = 360 ÷ 20 = 18

	Tommy	Carl	Oliver	Ryan
Before	3 u	4 u	8 u	5 u
Change		- 4 u		+ 4 u
After	3 u	0 u	8 u	9 u

Amount that Ryan had if Carl gave him all his money
= 5 u + 4 u
= 9 u

Amount that Ryan had more than Tommy
= 9 u - 3 u
= 6 u
= 6 x 18
= $108

Answer(s): $108