SOLUTION: I know that I=prt but I have no idea where to start with this word problem. If $2000 is invested at 8%, how much money must be invested at 11% interest so that the total return for

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Question 723969: I know that I=prt but I have no idea where to start with this word problem. If $2000 is invested at 8%, how much money must be invested at 11% interest so that the total return for both investments averages 10%?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = amount to be invested @ 11%
given:
+.08%2A2000+%2B+.11x+=+.1%2A%28+2000+%2B+x+%29+
+160+%2B+.11x+=+200+%2B+.1x+
+.01x+=+40+
+x+=+4000+
$4,000 must be invested @ 11%
check:
+.11%2A4000+=+440+
+.08%2A2000+=+160+
+440+%2B+160+=+600+
++600+%2F+%28+4000+%2B+2000+%29+=+600%2F6000+
+600%2F6000+=+.1+
OK