Tim, Perry, Riordan and Ahmad shared $392. Ahmad received ¹₆ of the total amount of money received by Tim, Perry and Riordan. Tim received ³₅ of the total amount for Perry and Riordan. Perry received ¹₂ as much money as Riordan. If Riordan gave all his money to Ahmad, how much did Ahmad have more than Perry in the end?

Tim	Perry	Riordan	Ahmad	Total
6x4			1x4	7x4
3x3	5x3
	1x5	2x5
9 u	5 u	10 u	4 u	28 u

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

The total amount that Tim, Perry and Riordan have is repeated.  Make the total amount of Tim, Perry and Riordan the same. LCM of 24 and 6 is 24.

Total amount that Tim, Perry, Riordan and Ahmad shared = 28 u

28 u = 392

1 u = 392 ÷ 28 = 14

	Tim	Perry	Riordan	Ahmad
Before	9 u	5 u	10 u	4 u
Change			- 10 u	+ 10 u
After	9 u	5 u	0 u	14 u

Amount that Ahmad had if Riordan gave him all his money
= 4 u + 10 u
= 14 u

Amount that Ahmad had more than Perry
= 14 u - 5 u
= 9 u
= 9 x 14
= $126

Answer(s): $126