document.write( "Question 1110410: Charles invested income in two accounts, one paying 3% annual simple interest and the other paying 2% interest. He earned a total of $11 interest. If he invested three times as much in the 3% account as he did in the 2% account, how much did he invest at each rate ? \n" ); document.write( "

Algebra.Com's Answer #725382 by josmiceli(19441) $\"\"$ $\"About$

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For the 3% rate:
\n" ); document.write( "(1) $\"+I+=+3P%2A.03%2A1+\"$
\n" ); document.write( "For the 2% rate:
\n" ); document.write( "(2) $\"+11+-+I+=+P%2A.02%2A1+\"$
\n" ); document.write( "------------------------
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) $\"+11+-+.03%2A3P+=+.02P+\"$
\n" ); document.write( "(2) $\"+11+-+.09P+=+.02P+\"$
\n" ); document.write( "(2) $\"+.11P+=+11+\"$
\n" ); document.write( "(2) $\"+P+=+100+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+3P+=+300+\"$
\n" ); document.write( "---------------------
\n" ); document.write( "He invested $300 @ 3% and $100 @ 2%
\n" ); document.write( "-------------------------------------
\n" ); document.write( "check:
\n" ); document.write( "(1) $\"+I+=+.09P+\"$
\n" ); document.write( "(1) $\"+I+=+.09%2A100+\"$
\n" ); document.write( "(1) $\"+I+=+9+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+11+-+I+=+.02P+\"$
\n" ); document.write( "(2) $\"+11+-+I+=+.02%2A100+\"$
\n" ); document.write( "(2) $\"+I+=+11+-+2+\"$
\n" ); document.write( "(2) $\"+I+=+9+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

\n" );