document.write( "Question 334801: Arlene wishes to invest $5000. If she invests part at 7% simple interest, part at 6%, and receives a total of $332 after one year, how much does she invest in each rate? \n" ); document.write( "
Algebra.Com's Answer #239966 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
Let A be the amount at 7%, B the amount at 6%.
\n" ); document.write( "1.\"A%2BB=5000\"
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "\"%287%2F100%29A%2B%286%2F100%29B=332\"
\n" ); document.write( "2.\"7A%2B6B=33200\"
\n" ); document.write( "From eq. 1,
\n" ); document.write( "\"A=5000-B\"
\n" ); document.write( "Substitute into eq. 2,
\n" ); document.write( "\"7%285000-B%29%2B6B=33200\"
\n" ); document.write( "\"35000-7B%2B6B=33200\"
\n" ); document.write( "\"-B=-1800\"
\n" ); document.write( "\"B=1800\"
\n" ); document.write( "Then from eq. 1,
\n" ); document.write( "\"A%2B1800=5000\"
\n" ); document.write( "\"A=3200\"
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "$3200 invested at 7%, $1800 invested at 6%.
\n" ); document.write( "
\n" );