Tommy, Rael, Ian and Caden shared $510. Caden received ¹₄ of the total amount of money received by Tommy, Rael and Ian. Tommy received ³₅ of the total amount for Rael and Ian. Rael received ¹₂ as much money as Ian. If Ian gave all his money to Caden, how much did Caden have more than Rael in the end?

Tommy	Rael	Ian	Caden	Total
4x6			1x6	5x6
3x3	5x3
	1x5	2x5
9 u	5 u	10 u	6 u	30 u

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

The total amount that Tommy, Rael and Ian have is repeated.  Make the total amount of Tommy, Rael and Ian the same. LCM of 24 and 4 is 24.

Total amount that Tommy, Rael, Ian and Caden shared = 30 u

30 u = 510

1 u = 510 ÷ 30 = 17

	Tommy	Rael	Ian	Caden
Before	9 u	5 u	10 u	6 u
Change			- 10 u	+ 10 u
After	9 u	5 u	0 u	16 u

Amount that Caden had if Ian gave him all his money
= 6 u + 10 u
= 16 u

Amount that Caden had more than Rael
= 16 u - 5 u
= 11 u
= 11 x 17
= $187

Answer(s): $187