Elijah, Jack, Bobby and Asher shared $840. Asher received ¹₆ of the total amount of money received by Elijah, Jack and Bobby. Elijah received ⁴₅ of the total amount for Jack and Bobby. Jack received ¹₃ as much money as Bobby. If Bobby gave all his money to Asher, how much did Asher have more than Jack in the end?

Elijah	Jack	Bobby	Asher	Total
6x6			1x6	7x6
4x4	5x4
	1x5	3x5
16 u	5 u	15 u	6 u	42 u

The total amount that Jack and Bobby have is repeated.  Make the total amount of Jack and Bobby the same.  LCM of 4 and 5 is 20.

The total amount that Elijah, Jack and Bobby have is repeated.  Make the total amount of Elijah, Jack and Bobby the same. LCM of 36 and 6 is 36.

Total amount that Elijah, Jack, Bobby and Asher shared = 42 u

42 u = 840

1 u = 840 ÷ 42 = 20

	Elijah	Jack	Bobby	Asher
Before	16 u	5 u	15 u	6 u
Change			- 15 u	+ 15 u
After	16 u	5 u	0 u	21 u

Amount that Asher had if Bobby gave him all his money
= 6 u + 15 u
= 21 u

Amount that Asher had more than Jack
= 21 u - 5 u
= 16 u
= 16 x 20
= $320

Answer(s): $320