document.write( "Question 621574: On two investments totaling $6,000, Peter lost 6% on one and earned 9% on the other. If his net annaul receipts were $327, how much was each investment? \n" ); document.write( "

Algebra.Com's Answer #390818 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+a+\"$ = amount invested losing 6%
\n" ); document.write( "Let $\"+b+\"$ = amount invested making 9%
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+a+%2B+b+=+6000+\"$
\n" ); document.write( "(2) $\"+-.06a+%2B+.09b+=+327+\"$
\n" ); document.write( "-----------------------
\n" ); document.write( "(2) $\"+-6a+%2B+9b+=+32700+\"$
\n" ); document.write( "Multiply both sides of (1) by $\"6\"$ ,
\n" ); document.write( "then add the equations
\n" ); document.write( "(1) $\"+6a+%2B+6b+=+36000+\"$
\n" ); document.write( "(2) $\"+-6a+%2B+9b+=+32700+\"$
\n" ); document.write( " $\"+15b+=+68700+\"$
\n" ); document.write( " $\"+b+=+4580+\"$
\n" ); document.write( "and since,
\n" ); document.write( "(1) $\"+a+%2B+b+=+6000+\"$
\n" ); document.write( "(1) $\"+a+%2B+4580+=+6000+\"$
\n" ); document.write( "(1) $\"+a+=+1420+\"$
\n" ); document.write( "The amount invested losing 6% was $1,420
\n" ); document.write( "The amount invested making 9% was $4,580
\n" ); document.write( "check answer:
\n" ); document.write( "(2) $\"+-.06%2A1420+%2B+.09%2A4580+=+327+\"$
\n" ); document.write( "(2) $\"+-85.2+%2B+412.2+=+327+\"$
\n" ); document.write( "(2) $\"+327+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );