document.write( "Question 1116093: Katie invested a total of $4000, part at 4% simple interest and part at 5% simple interest. At the end of 1 year, the investments had earned $174 interest. How much was invested at each rate? \n" ); document.write( "
Algebra.Com's Answer #730930 by ankor@dixie-net.com(22740)\"\" \"About 
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Katie invested a total of $4000, part at 4% simple interest and part at 5% simple interest.
\n" ); document.write( " At the end of 1 year, the investments had earned $174 interest.
\n" ); document.write( " How much was invested at each rate?
\n" ); document.write( ":
\n" ); document.write( "let x = amt invested at at 5%
\n" ); document.write( "the total invested, is $4000, therefore:
\n" ); document.write( "(4000-x) = amt invested at 4%
\n" ); document.write( ":
\n" ); document.write( ".04(4000-x) + .05x = 174
\n" ); document.write( "distribute the .04
\n" ); document.write( "160 - .04x + .05x = 174
\n" ); document.write( ".01x = 174 - 160
\n" ); document.write( ".01x = 14
\n" ); document.write( "x = 14/.01
\n" ); document.write( "x = $1400 invested at 5%
\n" ); document.write( "then
\n" ); document.write( "4000-1400 = $2600 invested at 4%
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check this, find actual amt earned from each
\n" ); document.write( ".05*1400 = $70
\n" ); document.write( ".04*2600 = $104
\n" ); document.write( "-----------------
\n" ); document.write( "total earned: $174 \n" ); document.write( "
\n" );