Henry, Julian, Luis and Zane shared $96. Zane received ¹₅ of the total amount of money received by Henry, Julian and Luis. Henry received ¹₃ of the total amount for Julian and Luis. Julian received ²₃ as much money as Luis. If Luis gave all his money to Zane, how much did Zane have more than Julian in the end?

Henry	Julian	Luis	Zane	Total
5x4			1x4	6x4
1x5	3x5
	2x3	3x3
5 u	6 u	9 u	4 u	24 u

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

The total amount that Henry, Julian and Luis have is repeated.  Make the total amount of Henry, Julian and Luis the same. LCM of 20 and 5 is 20.

Total amount that Henry, Julian, Luis and Zane shared = 24 u

24 u = 96

1 u = 96 ÷ 24 = 4

	Henry	Julian	Luis	Zane
Before	5 u	6 u	9 u	4 u
Change			- 9 u	+ 9 u
After	5 u	6 u	0 u	13 u

Amount that Zane had if Luis gave him all his money
= 4 u + 9 u
= 13 u

Amount that Zane had more than Julian
= 13 u - 6 u
= 7 u
= 7 x 4
= $28

Answer(s): $28