document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=67483>Question 67483</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This is one of my problems that hopefully yall can help me on, \"Tickets for a football game cost $1.00 each if purchased before the day of the game. They cost $1.50 each if bought at the gate. For the homecoming game, 600 tickets were sold, with receipts of $700. How many tickets were sold at the gate?\" Can yall help me please? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #48018 by </B><A HREF=/tutors/aboutme.mpl?userid=bam878s><B>bam878s(77)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bam878s><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=48018\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x =  number of tickets sold before the game and y = the number of tickets sold the day of the game.  Now from the information provided, we know that tickets purchased before the day of the game cost $1.00 and those purchased the day of the game cost $1.50.  Also $700 was sold from 600 in sales of tickets.  From this information, we have:\r<BR>\n" );
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document.write( "x + y = 600, and<BR>\n" );
document.write( "$1.00(x) + $1.50(y) = $700.\r<BR>\n" );
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document.write( "From the first of these equations we can solve for x<BR>\n" );
document.write( "x + y = 600 ==> x = 600 - y (subtracting y from both sides)\r<BR>\n" );
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document.write( "Now, since we know x, we can plug this into the second equation above<BR>\n" );
document.write( "$1.00(x) + $1.50(y) = $700 ==> $1.00(600-y) + $1.50(y) = $700\r<BR>\n" );
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document.write( "Now multiply the $1.00 into the 600 - y as follows:\r<BR>\n" );
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document.write( "$1.00(600-y) + $1.50(y) = $700 ==> 600 - y + 1.50y = $700<BR>\n" );
document.write( "==> 600 + 0.5y = 700.  So now we can solve for y which is the number of tickets sold at the gate!\r<BR>\n" );
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document.write( "600 + 0.5y = 700 (subtract 600 from both sides)<BR>\n" );
document.write( "0.5y = 100 (now divde both sides by 0.5)<BR>\n" );
document.write( "y = 200\r<BR>\n" );
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document.write( "So, there were 200 tickets sold at the gate.  You could also figure out how many were sold before the game day by plugging this value of y into one of the original equations and solving for x, but this is not required in the question.  Only need to solve for y (the number of tickets sold at the gate)\r<BR>\n" );
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document.write( "Hope this helps!! </SPAN>\n" );
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