document.write( "Question 590905: I need your help solving this,$9500 is invested, part at 11% and the other is at 6%. for a certain year the total was $65.00 \n" ); document.write( "

Algebra.Com's Answer #375373 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+a+\"$ = amount invest @ 11%
\n" ); document.write( "Let $\"+b+\"$ = amount invested @ 6%
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+a+%2B+b+=+9500+\"$
\n" ); document.write( "(2) $\"+.11a+%2B+.06b+=+65+\"$
\n" ); document.write( "-------------------
\n" ); document.write( "(2) $\"+11a+%2B+6b+=+6500+\"$
\n" ); document.write( "Multiply both sides of (1) by $\"6\"$ and
\n" ); document.write( "subtract (2) from (1)
\n" ); document.write( "(1) $\"+6a+%2B+6b+=+57000+\"$
\n" ); document.write( "(2) $\"+-11a+-+6b+=+-6500+\"$
\n" ); document.write( " $\"+-5a+=+50500+\"$
\n" ); document.write( " $\"+a+=+-10100+\"$
\n" ); document.write( "The minus sign means it is not possible
\n" ); document.write( "Suppose all the money was invested at 6%
\n" ); document.write( " $\"+.06%2A9500+=+570+\"$
\n" ); document.write( "That's more than $65
\n" ); document.write( "I bet the $65 should be $650
\n" ); document.write( "Check it \n" ); document.write( "

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