document.write( "Question 373548: How can $54,000 be invested, part at 8% annual simple interest and the remainder at 10% annual simple interest, so that the interest earned by the two accounts will be equal ? \n" ); document.write( "

Algebra.Com's Answer #265858 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"a\"$ = the interest earned by both accounts
\n" ); document.write( "Let $\"b\"$ = portion of $54000 invested at 8%
\n" ); document.write( "Let $\"c\"$ = portion of $54000 invested at 10%
\n" ); document.write( "given:
\n" ); document.write( " $\"b+%2B+c+=+54000\"$
\n" ); document.write( " $\".08b+=+.1c\"$
\n" ); document.write( " $\"8b+=+10c\"$
\n" ); document.write( "-----------------
\n" ); document.write( " $\"b+=+%285%2F4%29%2Ac\"$
\n" ); document.write( "by substitution:
\n" ); document.write( " $\"%285%2F4%29%2Ac+%2B+c+=+54000\"$
\n" ); document.write( " $\"%289%2F4%29%2Ac+=+54000\"$
\n" ); document.write( " $\"c+=+%284%2F9%29%2A54000\"$
\n" ); document.write( " $\"c+=+24000\"$
\n" ); document.write( "and
\n" ); document.write( " $\"b+%2B+c+=+54000\"$
\n" ); document.write( " $\"b+=+54000+-+24000\"$
\n" ); document.write( " $\"b+=+30000\"$
\n" ); document.write( "$30,000 was invested at 8%
\n" ); document.write( "and $24,000 was invested at 10%
\n" ); document.write( "
\n" ); document.write( " \n" ); document.write( "

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