document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=394257>Question 394257</A>: <I><SPAN STYLE=\"word-break: break-all;\"> To buy both a new car and a new house, Tina sought two loans totalling $44,980. The simple interest rate on the first loan was 1.8%, while the simple interest rate on the second loan was 1.2%. At the end of the first year, Tina paid a combined interest payment of $679.64. What were the amounts of the two loans? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #279736 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=279736\">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 totaling $44,980. The simple interest rate on the first loan was 1.8%, while the simple interest rate on the second loan was 1.2%. At the end of the first year, Tina paid a combined interest payment of $679.64. What were the amounts of the two loans?<BR>\n" );
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document.write( "Equations:<BR>\n" );
document.write( "Quantity :: x + y = 44900<BR>\n" );
document.write( "Interest :0.018x+0.012y = 679.64<BR>\n" );
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document.write( "Multiply thru the quantity Eq. by 18<BR>\n" );
document.write( "Multiply thru the interest Eq. by 1000<BR>\n" );
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document.write( "18x + 18y = 18*44900<BR>\n" );
document.write( "18x + 12y = 679640<BR>\n" );
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document.write( "Subtract and solve for \"y\":<BR>\n" );
document.write( "6y = 128560<BR>\n" );
document.write( "y = 21426.67 (amt. of 1.2% loan)<BR>\n" );
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document.write( "Solve for \"x\":<BR>\n" );
document.write( "x + y = 44900<BR>\n" );
document.write( "x + 21426.67 = 44900<BR>\n" );
document.write( "x = 23473.33 (amt. of 1.8% loan)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "=========== </SPAN>\n" );
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