document.write( "Question 1096860: James invested some money at 14% interest. James also invested $54 more than 2 times that amount at 11%. How much is invested at each rate if James receives $1384.38 in interest after one year? \n" ); document.write( "

Algebra.Com's Answer #711268 by josmiceli(19441) $\"\"$ $\"About$

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$\"+I%5B1%5D+=+P%5B1%5D%2Ar%5B1%5D%2At+\"$
\n" ); document.write( " $\"+r%5B1%5D+=+.14+\"$
\n" ); document.write( " $\"+t+=+1+\"$
\n" ); document.write( "------------------------
\n" ); document.write( "(1) $\"+I%5B1%5D+=+P%5B1%5D%2A.14+\"$
\n" ); document.write( "(2) $\"+I%5B2%5D+=+P%5B2%5D%2A.11+\"$
\n" ); document.write( "(3) $\"+P%5B2%5D+=+2P%5B1%5D+%2B+54+\"$
\n" ); document.write( "(4) $\"+I%5B1%5D+%2B+I%5B2%5D+=+1384.38+\"$
\n" ); document.write( "-----------------------------
\n" ); document.write( "Plug (3) into (2)
\n" ); document.write( "(2) $\"+I%5B2%5D+=+%28+2P%5B1%5D+%2B+54+%29%2A.11+\"$
\n" ); document.write( "Plug (1) and (2) into (4)
\n" ); document.write( "(4) $\"+.14P%5B1%5D+%2B+.22P%5B1%5D+%2B+5.94+=+1384.38+\"$
\n" ); document.write( "(4) $\"+.36P%5B1%5D+=+1378.44+\"$
\n" ); document.write( "(4) $\"+P%5B1%5D+=+3829+\"$
\n" ); document.write( "and
\n" ); document.write( "(3) $\"+P%5B2%5D+=+2%2A3829+%2B+54+\"$
\n" ); document.write( "(3) $\"+P%5B2%5D+=+7658+%2B+54+\"$
\n" ); document.write( "(3) $\"+P%5B2%5D+=+7712+\"$
\n" ); document.write( "---------------------------
\n" ); document.write( "(1) $\"+I%5B1%5D+=+.14%2A3829+\"$
\n" ); document.write( "(1) $\"+I%5B1%5D+=+536.06+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+I%5B2%5D+=+.11%2A7712+\"$
\n" ); document.write( "(2) $\"+I%5B2%5D+=+848.32+\"$
\n" ); document.write( "----------------------------
\n" ); document.write( "$3,829 invested @ 14%
\n" ); document.write( "$7,712 invested @11%
\n" ); document.write( "----------------------------
\n" ); document.write( "check:
\n" ); document.write( "(4) $\"+I%5B1%5D+%2B+I%5B2%5D+=+1384.38+\"$
\n" ); document.write( "(4) $\"+536.06+%2B+848.32+=+1384.38+\"$
\n" ); document.write( "(4) $\"+1384.38+=+1384.38+\"$
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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