Ahmad, Owen, Eric and Jack shared $160. Jack received ¹₃ of the total amount of money received by Ahmad, Owen and Eric. Ahmad received ¹₄ of the total amount for Owen and Eric. Owen received ¹₂ as much money as Eric. If Eric gave all his money to Jack, how much did Jack have more than Owen in the end?

Ahmad	Owen	Eric	Jack	Total
3x5			1x5	4x5
1x3	4x3
	1x4	2x4
3 u	4 u	8 u	5 u	20 u

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

The total amount that Ahmad, Owen and Eric have is repeated.  Make the total amount of Ahmad, Owen and Eric the same. LCM of 15 and 3 is 15.

Total amount that Ahmad, Owen, Eric and Jack shared = 20 u

20 u = 160

1 u = 160 ÷ 20 = 8

	Ahmad	Owen	Eric	Jack
Before	3 u	4 u	8 u	5 u
Change			- 8 u	+ 8 u
After	3 u	4 u	0 u	13 u

Amount that Jack had if Eric gave him all his money
= 5 u + 8 u
= 13 u

Amount that Jack had more than Owen
= 13 u - 4 u
= 9 u
= 9 x 8
= $72

Answer(s): $72