Caden, Zane, Owen and Sam shared $420. Sam received ¹₄ of the total amount of money received by Caden, Zane and Owen. Caden received ³₅ of the total amount for Zane and Owen. Zane received ¹₂ as much money as Owen. If Zane gave all his money to Sam, how much did Sam have more than Caden in the end?

Caden	Zane	Owen	Sam	Total
4x6			1x6	5x6
3x3	5x3
	1x5	2x5
9 u	5 u	10 u	6 u	30 u

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

The total amount that Caden, Zane and Owen have is repeated.  Make the total amount of Caden, Zane and Owen the same. LCM of 24 and 4 is 24.

Total amount that Caden, Zane, Owen and Sam shared = 30 u

30 u = 420

1 u = 420 ÷ 30 = 14

	Caden	Zane	Owen	Sam
Before	9 u	5 u	10 u	6 u
Change		- 5 u		+ 5 u
After	9 u	0 u	10 u	11 u

Amount that Sam had if Zane gave him all his money
= 6 u + 5 u
= 11 u

Amount that Sam had more than Caden
= 11 u - 9 u
= 2 u
= 2 x 14
= $28

Answer(s): $28