Luke, Luis, Ken and Japheth shared $840. Japheth received ³₄ of the total amount of money received by Luke, Luis and Ken. Luke received ³₅ of the total amount for Luis and Ken. Luis received ¹₂ as much money as Ken. If Luis gave all his money to Japheth, how much did Japheth have more than Luke in the end?

Luke	Luis	Ken	Japheth	Total
4x6			3x6	7x6
3x3	5x3
	1x5	2x5
9 u	5 u	10 u	18 u	42 u

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

The total amount that Luke, Luis and Ken have is repeated.  Make the total amount of Luke, Luis and Ken the same. LCM of 24 and 4 is 24.

Total amount that Luke, Luis, Ken and Japheth shared = 42 u

42 u = 840

1 u = 840 ÷ 42 = 20

	Luke	Luis	Ken	Japheth
Before	9 u	5 u	10 u	18 u
Change		- 5 u		+ 5 u
After	9 u	0 u	10 u	23 u

Amount that Japheth had if Luis gave him all his money
= 18 u + 5 u
= 23 u

Amount that Japheth had more than Luke
= 23 u - 9 u
= 14 u
= 14 x 20
= $280

Answer(s): $280