document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=72058>Question 72058</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Andre sells furniture. Two different chairs go with a dining set, a chair with arms or a chair without. One armchair and one chair without arms sell together for $184. One day he sold 5 armchairs and 17 chairs without arms for a total of $1868. How much does each chair sell for? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #51519 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=51519\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> One armchair and one chair without arms sell together for $184. One day he sold 5 armchairs and 17 chairs without arms for a total of $1868. How much does each chair sell for?<BR>\n" );
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document.write( "Let \"a\" be the price of an armchair; Let \"c\" be the price of a chair.<BR>\n" );
document.write( "EQUATIONS:<BR>\n" );
document.write( "a+c=184<BR>\n" );
document.write( "5a+17c=1868<BR>\n" );
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document.write( "a = 184-c<BR>\n" );
document.write( "Substitute that into the 2nd equation to solve for \"c\":<BR>\n" );
document.write( "5(184-c)+17c=1868<BR>\n" );
document.write( "920-5c+17c = 1868<BR>\n" );
document.write( "12c = 948<BR>\n" );
document.write( "c=$79 (price of a chair)<BR>\n" );
document.write( "Substitute into a=184-c to solve for \"a\"<BR>\n" );
document.write( "a=184-79 = $105 (price of an armchair)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "5 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );