document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=397886>Question 397886</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Investing her bonus. Donna invested her $33,000 bonus<BR>\n" );
document.write( "and received a total of $970 in interest after one year. If<BR>\n" );
document.write( "part of the money returned 4% and the remainder 2.25%,<BR>\n" );
document.write( "then how much did she invest at each rate?<BR>\n" );
document.write( " Please show each step and explain what you did.. Thank you soooo much! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #281891 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=281891\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Investing her bonus. Donna invested her $33,000 bonus<BR>\n" );
document.write( "and received a total of $970 in interest after one year. If<BR>\n" );
document.write( "part of the money returned 4% and the remainder 2.25%,<BR>\n" );
document.write( "then how much did she invest at each rate?<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Quantity Eq: x + y = 33000 dollars<BR>\n" );
document.write( "Interest Eq:0.04x + 0.025y = 970 dollars<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "Multiply thru Quantity Eq. by 4.<BR>\n" );
document.write( "Multiply thru Interest Eq. by 100.<BR>\n" );
document.write( "-------------------------------<BR>\n" );
document.write( "4x + 4y = 4*33000<BR>\n" );
document.write( "4x + 2.5y = 97000<BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "Subtract the bottom from the top and solve for \"y\":<BR>\n" );
document.write( "1.5y = 35000<BR>\n" );
document.write( "y = $23,333.33 (amt. invested at 2.25%)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve for \"x\":<BR>\n" );
document.write( "x+y = 33000<BR>\n" );
document.write( "x + 23,333.33 = 33000<BR>\n" );
document.write( "x = $9666.66 (amt. invested at 4%)<BR>\n" );
document.write( "======================================<BR>\n" );
document.write( "cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );