document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=314197>Question 314197</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Tickets for a basketball tournament were $6 for students and $9 for nonstudents. Total sales were $10,500, and 250 more student tidkets were sold than nonstudents. How many of each type of ticket were sold? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #224610 by </B><A HREF=/tutors/aboutme.mpl?userid=texttutoring><B>texttutoring(324)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=texttutoring><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=texttutoring><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=224610\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There are two variables:\r<BR>\n" );
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document.write( "Let x = the number of $6 tickets<BR>\n" );
document.write( "Let y = the number of $9 tickets\r<BR>\n" );
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document.write( "You need two equations.\r<BR>\n" );
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document.write( "Total sales were $10,500, so\r<BR>\n" );
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document.write( "Equation 1: 6x +9y = 10500\r<BR>\n" );
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document.write( "There were 250 more student tickets sold than nonstudent tickets, so\r<BR>\n" );
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document.write( "Equation 2: x = y + 250\r<BR>\n" );
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document.write( "Now take x=y+250 from Equation 2 and substitute it into Equation 1:\r<BR>\n" );
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document.write( "6(y+250) +9y = 10500<BR>\n" );
document.write( "6y+1500 +9y = 10500<BR>\n" );
document.write( "15y = 10500-1500<BR>\n" );
document.write( "15y=9000<BR>\n" );
document.write( "y=600\r<BR>\n" );
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document.write( "Now find x:\r<BR>\n" );
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document.write( "x=y+250<BR>\n" );
document.write( "x=600+250<BR>\n" );
document.write( "x=850\r<BR>\n" );
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document.write( "There were 850 student tickets and 600 nonstudent tickets. </SPAN>\n" );
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