document.write( "Question 304947: I invested $2000 more in stocks paying 11% than in an account payomg 6%. If my average interest rate was 9 1/2%, how much did I invest in all? \n" ); document.write( "

Algebra.Com's Answer #218449 by josmiceli(19441) $\"\"$ $\"About$

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The average interest rate is:
\n" ); document.write( "(interest income from 11% account + interest income from 6% account)/(total amount invested in both) = 9.5%
\n" ); document.write( "Let $\"x\"$ = amount invested @ 6%
\n" ); document.write( "Then $\"x+%2B+2000\"$ = amount invested @ 11%
\n" ); document.write( " $\"%28.11%2A%28x+%2B+2000%29+%2B+.06x%29%2F%28x+%2B+2000+%2B+x%29+=+.095\"$
\n" ); document.write( " $\".11x+%2B+220+%2B+.06x+=+.095%2A%282x+%2B+2000%29\"$
\n" ); document.write( " $\".17x+%2B+220+=+.19x+%2B+190\"$
\n" ); document.write( " $\".02x+=+220+-+190\"$
\n" ); document.write( " $\".02x+=+30\"$
\n" ); document.write( " $\"x+=+1500\"$
\n" ); document.write( " $\"x+%2B+2000+=+3500\"$
\n" ); document.write( "and
\n" ); document.write( " $\"1500+%2B+3500+=+5000\"$
\n" ); document.write( "You invested $5000 in all
\n" ); document.write( "check:
\n" ); document.write( " $\"%28.11%2A%28x+%2B+2000%29+%2B+.06x%29%2F%28x+%2B+2000+%2B+x%29+=+.095\"$
\n" ); document.write( " $\"%28.11%2A%281500+%2B+2000%29+%2B+.06%2A1500%29%2F5000+=+.095\"$
\n" ); document.write( " $\"%28.11%2A3500+%2B+.06%2A1500%29%2F5000+=+.095\"$
\n" ); document.write( " $\"%28385+%2B+90%29%2F5000+=+.095\"$
\n" ); document.write( " $\"475%2F5000+=+.095\"$
\n" ); document.write( " $\"475+=+475\"$
\n" ); document.write( "OK \n" ); document.write( "

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