document.write( "Question 1149483: Luis invested $6000 in two different accounts. One earned 4% and the other earned 7%. He earned a total of $375 in interest in one year. How much was invested in each account? \n" ); document.write( "
Algebra.Com's Answer #770819 by josmiceli(19441)\"\" \"About 
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For the 2 accounts
\n" ); document.write( "\"+P+\" = amount invested in 4% account
\n" ); document.write( "\"+6000+-+P+\" = amount invested in 7% account
\n" ); document.write( "\"+I+\" = interest from 4% account
\n" ); document.write( "\"+375+-+I+\" = interest from 7%
\n" ); document.write( "\"+t+\" = 1 year
\n" ); document.write( "----------------------------------------
\n" ); document.write( "For 4% account:
\n" ); document.write( "(1) \"+I+=+P%2A.04%2A1+\"
\n" ); document.write( "For 7% account:
\n" ); document.write( "(2) \"+375+-+I+=+%28+6000+-+P+%29%2A.07%2A1+\"
\n" ); document.write( "----------------------------------------
\n" ); document.write( "By substitution:
\n" ); document.write( "(2) \"+375+-+.04P+=+420+-+.07P+\"
\n" ); document.write( "(2) \"+.03P+=+45+\"
\n" ); document.write( "(2) \"+P+=+1500+\"
\n" ); document.write( "and
\n" ); document.write( "\"+6000+-+P+=+6000+-+1500+\"
\n" ); document.write( "\"+6000+-+P+=+4500+\"
\n" ); document.write( "------------------------------------
\n" ); document.write( "$1,500 = amount invested in 4% account
\n" ); document.write( "$4,500 = amount invested in 7% account
\n" ); document.write( "-----------------------------------------------
\n" ); document.write( "check:
\n" ); document.write( "(1) \"+I+=+P%2A.04%2A1+\"
\n" ); document.write( "(1) \"+I+=+1500%2A.04%2A1+\"
\n" ); document.write( "(1) \"+I+=+60+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+375+-+I+=+%28+6000+-+P+%29%2A.07%2A1+\"
\n" ); document.write( "(2) \"+375+-+I+=+4500%2A.07%2A1+\"
\n" ); document.write( "(2) \"+375+-+I+=+315+\"
\n" ); document.write( "(2) \"+I+=+60+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" );