document.write( "Question 982836: Ling invested some money at 5% interest. Ling also invested $196 more than 3 times that amount at 11%. How much is invested at each rate if Ling receives $1005.76 in interest after one year? (Round to two decimal places if necessary.) \n" ); document.write( "
Algebra.Com's Answer #603646 by ankor@dixie-net.com(22740)\"\" \"About 
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Ling invested some money at 5% interest.
\n" ); document.write( " Ling also invested $196 more than 3 times that amount at 11%.
\n" ); document.write( " How much is invested at each rate if Ling receives $1005.76 in interest after one year? (Round to two decimal places if necessary.)
\n" ); document.write( ":
\n" ); document.write( "let x = amt invested at 5%
\n" ); document.write( "\" Ling also invested $196 more than 3 times that amount at 11%.\" therefore
\n" ); document.write( "(3x+196) = amt invested at 11%
\n" ); document.write( ":
\n" ); document.write( ".05x + .11(3x+196) = 1005.76
\n" ); document.write( ".05x + .33x + 21.96 = 1005.76
\n" ); document.write( ".38x = 1005.76 - 21.96
\n" ); document.write( "x = 984.20/.38
\n" ); document.write( "x = $2590 invested at 5%
\n" ); document.write( "then
\n" ); document.write( "3(2590) + 196 = $7966 invested at 11%
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Confirm this solution
\n" ); document.write( ".05(2590) + .11(7966) = 1005.76 \n" ); document.write( "
\n" );