document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=71898>Question 71898</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Adult tickets for a play cost $20 and child tickets cost $8.  If there were 33 people at a performance and the theater collected $468 from ticket sales, how many adults and how many children attended the play? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #51374 by </B><A HREF=/tutors/aboutme.mpl?userid=psbhowmick><B>psbhowmick(878)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=psbhowmick><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/cgi-bin/show-face.mpl?user=psbhowmick><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=51374\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the no. of adults and children who attended be 'x' and 'y' respectively.\r<BR>\n" );
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document.write( "Cost of each adult ticket = $20.<BR>\n" );
document.write( "Cost of all adult tickets when 'x' adults were present = $(20x).\r<BR>\n" );
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document.write( "Cost of each children ticket = $8.<BR>\n" );
document.write( "Cost of all children tickets when 'y' children were present = $(8y).\r<BR>\n" );
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document.write( "Hence the total cost of children's and adults' tickets = $(20x + 8y).<BR>\n" );
document.write( "This value is given as $468.\r<BR>\n" );
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document.write( "So, 20x + 8y = 468 or 5x + 2y = 117. This is one equation.\r<BR>\n" );
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document.write( "Again, total no. of adults and children = (x + y).<BR>\n" );
document.write( "This value is given to be 33.\r<BR>\n" );
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document.write( "So, x + y = 33. This is the other equation.\r<BR>\n" );
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document.write( "Now we have to solve 2 equations.<BR>\n" );
document.write( "5x + 2y = 117 __________(1)<BR>\n" );
document.write( "x + y = 33 ___________(2)\r<BR>\n" );
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document.write( "Multiplying equation (2) by 2 and then subtracting from equation (1)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x+%2B+2y+-+2%28x+%2B+y%29=+117+-+2%2A33 ALIGN=MIDDLE  ALT=\"5x+%2B+2y+-+2%28x+%2B+y%29=+117+-+2%2A33\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x+%2B+2y+-+2x+-+2y+=+117+-+66 ALIGN=MIDDLE  ALT=\"5x+%2B+2y+-+2x+-+2y+=+117+-+66\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x+=+51 ALIGN=MIDDLE  ALT=\"3x+=+51\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+51%2F3+=+17 ALIGN=MIDDLE  ALT=\"x+=+51%2F3+=+17\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So, y <BR>\n" );
document.write( "= 33 - x [Recall eqn. (1) which says x + y =33]<BR>\n" );
document.write( "= 33 - 17<BR>\n" );
document.write( "= 16\r<BR>\n" );
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document.write( "So there were x = 17 adults and y = 16 children. </SPAN>\n" );
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