document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=932742>Question 932742</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Pat Summers wins $200,000 in the Louisiana state lottery. He invests part of the money in real estate with an annual return of 3% and another part in a money market account at 2.5% interest. He invests the rest, which amounts to $80,000 less than the sum of the other two parts, in certificates of deposit that pay 1.5%. If the total annual interest on the money is $4900,how much was invested at each rate?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #566378 by </B><A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><B>TimothyLamb(4379)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=TimothyLamb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=566378\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x = amount invested at 3% RE<BR>\n" );
document.write( "y = amount invested at 2.5% MM<BR>\n" );
document.write( "z = amount invested at 1.5% CD<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x + y + z = 200000<BR>\n" );
document.write( "0.03x + 0.025y + 0.015z = 4900<BR>\n" );
document.write( "z = x + y - 80000<BR>\n" );
document.write( "---<BR>\n" );
document.write( "put the system of linear equations into standard form<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x + y + z = 200000<BR>\n" );
document.write( "0.03x + 0.025y + 0.015z = 4900<BR>\n" );
document.write( "x + y - z = 80000<BR>\n" );
document.write( "---<BR>\n" );
document.write( "copy and paste the above standard form linear equations in to this solver:<BR>\n" );
document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "solution:<BR>\n" );
document.write( "x = amount invested at 3% RE = 100,000<BR>\n" );
document.write( "y = amount invested at 2.5% MM = 40,000<BR>\n" );
document.write( "z = amount invested at 1.5% CD = 60,000<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve and graph linear equations:<BR>\n" );
document.write( "https://sooeet.com/math/linear-equation-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve quadratic equations, quadratic formula:<BR>\n" );
document.write( "https://sooeet.com/math/quadratic-formula-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve systems of linear equations up to 6-equations 6-variables:<BR>\n" );
document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php<BR>\n" );
document.write( "--- </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );