document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=354768>Question 354768</A>: <I><SPAN STYLE=\"word-break: break-all;\"> To buy both a new car and a new house, Tina sought two loans totalling $78,825. The simple interest rate on the first loan was 0.2%, while the simple interest rate on the second loan was 5.0%. At the end of the first year, Tina paid a combined interest payment of $2817.23. What were the amounts of the two loans?\r<BR>\n" );
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document.write( "So far I have this but don't know where to go from there:<BR>\n" );
document.write( "x + y = 78,825<BR>\n" );
document.write( "0.02x + 0.05y = 2817.23 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #253464 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=253464\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To buy both a new car and a new house, Tina sought two loans totalling $78,825. The simple interest rate on the first loan was 0.2%, while the simple interest rate on the second loan was 5.0%. At the end of the first year, Tina paid a combined interest payment of $2817.23. What were the amounts of the two loans? <BR>\n" );
document.write( "So far I have this but don't know where to go from there:<BR>\n" );
document.write( "x + y = 78,825<BR>\n" );
document.write( "0.02x + 0.05y = 2817.23<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Multiply thru the 1st equation by 2.<BR>\n" );
document.write( "Multiply thru the 2nd equation by 100.<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "2x + 2y = 2*78,825<BR>\n" );
document.write( "2x + 5y = 281723<BR>\n" );
document.write( "---------------------------<BR>\n" );
document.write( "Subtract the top equation from the bottom and solve for \"y\":<BR>\n" );
document.write( "3y = 124073<BR>\n" );
document.write( "y = $41357.67<BR>\n" );
document.write( "----<BR>\n" );
document.write( "x = 78825-41357.67<BR>\n" );
document.write( "x = $37467.33<BR>\n" );
document.write( "===================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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