document.write( "Question 1092177: Katie invested a total of $4000, part at 3% simple interest and part at 4% simple interest. At the end of 1 year, the investments had earned $136 interest. How much was invested at each rate? \n" ); document.write( "
Algebra.Com's Answer #706740 by josmiceli(19441)\"\" \"About 
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Use \"+I+=+P%2Ar%2At+\"
\n" ); document.write( "\"+I%5B1%5D+=+P%5B1%5D%2A.03%2A1+\"
\n" ); document.write( "(1) \"+I%5B1%5D+=+.03P%5B1%5D+\"
\n" ); document.write( "--------------------------
\n" ); document.write( "and
\n" ); document.write( "\"+I%5B2%5D+=+.04P%5B2%5D+\"
\n" ); document.write( "\"+P%5B2%5D+=+4000+-+P%5B1%5D+\"
\n" ); document.write( "\"+I%5B2%5D+=+.04%2A%28+4000+-+P%5B1%5D+%29+\"
\n" ); document.write( "----------------------------
\n" ); document.write( "\"+I%5B2%5D+=+136+-+I%5B1%5D+\"
\n" ); document.write( "\"+136+-+I%5B1%5D+=+.04%2A%28+4000+-+P%5B1%5D+%29+\"
\n" ); document.write( "----------------------------------
\n" ); document.write( "\"+136+-+I%5B1%5D+=+160+-+.04P%5B1%5D+\"
\n" ); document.write( "(2) \"+I%5B1%5D+=+.04P%5B1%5D+-+24+\"
\n" ); document.write( "Plug (1) into (2)
\n" ); document.write( "(2) \"+.03P%5B1%5D+=+.04P%5B1%5D+-+24+\"
\n" ); document.write( "(2) \"+.01P%5B1%5D+=+24+\"
\n" ); document.write( "(2) \"+P%5B1%5D+=+2400+\"
\n" ); document.write( "and
\n" ); document.write( "\"+P%5B2%5D+=+4000+-+P%5B1%5D+\"
\n" ); document.write( "\"+P%5B2%5D+=+4000+-+2400+\"
\n" ); document.write( "\"+P%5B2%5D+=+1600+\"
\n" ); document.write( "---------------------
\n" ); document.write( "$2,400 is invested @ 3%
\n" ); document.write( "$1,600 is invested @ 4%
\n" ); document.write( "---------------------
\n" ); document.write( "check:
\n" ); document.write( "(1) \"+I%5B1%5D+=+.03P%5B1%5D+\"
\n" ); document.write( "(1) \"+I%5B1%5D+=+.03%2A2400+\"
\n" ); document.write( "(1) \"+I%5B1%5D+=+72+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+I%5B2%5D+=+.04%2AP%5B2%5D+\"
\n" ); document.write( "(2) \"+I%5B2%5D+=+.04%2A1600+\"
\n" ); document.write( "(2) \"+I%5B2%5D+=+64+\"
\n" ); document.write( "-------------------------
\n" ); document.write( "\"+I%5B1%5D+%2B+I%5B2%5D+=+72+%2B+64+\"
\n" ); document.write( "\"+I%5B1%5D+%2B+I%5B2%5D+=+136+\"
\n" ); document.write( "OK
\n" ); document.write( " \r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );