document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1189806>Question 1189806</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A party rental company has chairs and tables for rent. The total cost to rent 3 chairs and 5 tables is $57. The total cost to rent 12 chairs and 2 tables is $39.<BR>\n" );
document.write( "What is the cost to rent each chair and each table? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #821288 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=821288\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "x = price to rent one chair<BR>\n" );
document.write( "y = price to rent one table<BR>\n" );
document.write( "prices are in dollars\r<BR>\n" );
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document.write( "The total cost to rent 3 chairs and 5 tables is $37<BR>\n" );
document.write( "It leads to the equation of<BR>\n" );
document.write( "3x+5y = 37\r<BR>\n" );
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document.write( "Another equation we can form is<BR>\n" );
document.write( "12x+2y = 39<BR>\n" );
document.write( "because 12 chairs (12x dollars) and 2 tables (2y dollars) cost 39 dollars combined\r<BR>\n" );
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document.write( "Let's solve for y in the second equation<BR>\n" );
document.write( "12x+2y = 39<BR>\n" );
document.write( "2y = 39-12x<BR>\n" );
document.write( "y = (39-12x)/2<BR>\n" );
document.write( "y = (39/2)-(12x/2)<BR>\n" );
document.write( "y = 19.5 - 6x\r<BR>\n" );
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document.write( "Then we can plug it into the first equation to solve for x<BR>\n" );
document.write( "3x+5y = 57<BR>\n" );
document.write( "3x+5(19.5 - 6x) = 57<BR>\n" );
document.write( "3x+97.5 - 30x = 57<BR>\n" );
document.write( "-27x+97.5 = 57<BR>\n" );
document.write( "-27x = 57-97.5<BR>\n" );
document.write( "-27x = -40.5<BR>\n" );
document.write( "x = (-40.5)/(-27)<BR>\n" );
document.write( "x = 1.50<BR>\n" );
document.write( "That decimal value is exact.\r<BR>\n" );
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document.write( "Then we can use this x value to find y<BR>\n" );
document.write( "y = 19.5 - 6x<BR>\n" );
document.write( "y = 19.5 - 6(1.50)<BR>\n" );
document.write( "y = 19.5 - 9<BR>\n" );
document.write( "y = 10.50 <BR>\n" );
document.write( "That decimal is exact as well\r<BR>\n" );
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document.write( "Answers:<BR>\n" );
document.write( "One chair costs $1.50 to rent<BR>\n" );
document.write( "One table costs $10.50 to rent<BR>\n" );
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