SOLUTION: You have already invested $450 in a stock with an annual return of 11%. How much of an additional $1,200 should be invested at 12% and how much at 6% so that the total return on th

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Question 911346: You have already invested $450 in a stock with an annual return of 11%. How much of an additional $1,200 should be invested at 12% and how much at 6% so that the total return on the entire $1,650 is 9%?
Found 2 solutions by lwsshak3, josmiceli:
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
You have already invested $450 in a stock with an annual return of 11%. How much of an additional $1,200 should be invested at 12% and how much at 6% so that the total return on the entire $1,650 is 9%?
***
let x=amt invested at 12%
1200-x=amt invested at 6%
11%450+12%x+.06(1200-x)=9%*1650
49.50+.12x+72-.06x=148.50
.06x=27
x=450
1200-x=750
$1200 invested at 12%=$450
$1200 invested at 6%=$750

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = amount to be invested @ 12%
Let +1200+-+x+ = amount to be invested @ 6%
-------------------
+.11%2A450+%2B+.12x+%2B+.06%2A%28+1200+-+x+%29+=+.09%2A1650+
+49.5+%2B+.12x+%2B+72+-+.06x+=+148.5
+.06x+%2B+121.5+=+148.5+
+.06x+=+27+
+x+=+450+
+1200+-+x+=+750+
-------------------
$450 should be invested @12%
$750 should be invested @ 6%
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check:
+.11%2A450+%2B+.12x+%2B+.06%2A%28+1200+-+x+%29+=+.09%2A1650+
+.11%2A450+%2B+.12%2A450+%2B+.06%2A%28+1200+-+450+%29+=+.09%2A1650+
+49.5+%2B+54+%2B+.06%2A750+=+148.5+
+103.5+%2B+45+=+148.5+
+148.5+=+148.5+
OK