Carl, Luis, Caden and Harry shared $1188. Harry received ⁵₆ of the total amount of money received by Carl, Luis and Caden. Carl received ⁴₅ of the total amount for Luis and Caden. Luis received ¹₃ as much money as Caden. If Luis gave all his money to Harry, how much did Harry have more than Carl in the end?

Carl	Luis	Caden	Harry	Total
6x6			5x6	11x6
4x4	5x4
	1x5	3x5
16 u	5 u	15 u	30 u	66 u

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

The total amount that Carl, Luis and Caden have is repeated.  Make the total amount of Carl, Luis and Caden the same. LCM of 36 and 6 is 36.

Total amount that Carl, Luis, Caden and Harry shared = 66 u

66 u = 1188

1 u = 1188 ÷ 66 = 18

	Carl	Luis	Caden	Harry
Before	16 u	5 u	15 u	30 u
Change		- 5 u		+ 5 u
After	16 u	0 u	15 u	35 u

Amount that Harry had if Luis gave him all his money
= 30 u + 5 u
= 35 u

Amount that Harry had more than Carl
= 35 u - 16 u
= 19 u
= 19 x 18
= $342

Answer(s): $342