document.write( "Question 263586: 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 #194237 by drk(1908) $\"\"$ $\"About$

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This is I = PRT, but with 2 investments so we get
\n" ); document.write( " $\"I+=+PRT+%2B+PRT\"$
\n" ); document.write( "but we want them equal, so
\n" ); document.write( " $\"PRT+=+PRT\"$
\n" ); document.write( "from above we have
\n" ); document.write( "(i) $\"x%28.08%29%281%29+=+%2854000-x%29%28.10%29%281%29\"$
\n" ); document.write( "simplified, we get
\n" ); document.write( "(ii) $\"+.08x+=+5400+-+.10x\"$
\n" ); document.write( "adding we get
\n" ); document.write( "(iii) $\".18x+=+5400\"$
\n" ); document.write( "so, x = $30,000 @ 8%
\n" ); document.write( "and 54000-x = $24,000 @ 10% \n" ); document.write( "

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