<PRE><B>Question 798234</B>
You have already invested $500 in a stock with an annual return of 11%. How much of an additional $1,600 should be invested at 12% and how much at 6% so that the total return on the entire $2,100 is 9%?

total return 2100 @9%= $189 

500 @11% = $55 

Difference = 189-55= 135

Invest $ x at 12%
and 1600-x @ 6 %

Total return = $ 135

Part I	12.00%		per annum	-------------	Amount invested =x		
Part II	6.00%		per annum	------------	Amount invested = y		
	1600						
Interest-----	135.00						
							
Part I	12.00%		per annum	---x			
Part II	6.00%		per annum	---y			
Total investment							
x	+	1	y=	1600	-------------1		
Interest on both investments							
12.00%	x	+	6.00%	y=	135		
Multiply by		100					
12	x	+	6	y=	13500.00	--------2	
Multiply (1) by			-12				
we get							
-12	x	-12	y=	-19200.00			
Add this to (2)							
0	x	-6	y=	-5700			
divide by		-6					
			y	=	950	 -	x)
Part I	12.00%	$	650				
Part II	6.00%	$	950				


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