document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=57328>Question 57328</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There were 1500 people at a high school football game. Student tickets were $2.00 and adult tickets were $3.50. The total receipts for the game were $3825. How many students bought tickets? <BR>\n" );
document.write( "Let a = the number of adult tickets purchased.<BR>\n" );
document.write( "Let s = the number of student tickets purchased. Write a system of equations that can be used to determine the number of adult and student tickets purchased.<BR>\n" );
document.write( " Determine the number of adults tickets sold and the number of student tickets sold. <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #39060 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=39060\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There were 1500 people at a high school football game. Student tickets were $2.00 and adult tickets were $3.50. The total receipts for the game were $3825. How many students bought tickets? <BR>\n" );
document.write( "Let a = the number of adult tickets purchased.<BR>\n" );
document.write( "Let s = the number of student tickets purchased. Write a system of equations that can be used to determine the number of adult and student tickets purchased.<BR>\n" );
document.write( "Determine the number of adults tickets sold and the number of student tickets sold.<BR>\n" );
document.write( "1st: a+s=1500<BR>\n" );
document.write( "2nd: 3.5a+2s=3825<BR>\n" );
document.write( "Solve 1st for a and substitute in 2nd to get:<BR>\n" );
document.write( "3rd: 3.5(1500-s)+2s=3825<BR>\n" );
document.write( "5250-3.5s+2s=3825<BR>\n" );
document.write( "-1.5s=-1425<BR>\n" );
document.write( "s=950 (number of students tickets sold)<BR>\n" );
document.write( "Substitute into 1st to solve for \"a\":<BR>\n" );
document.write( "a+950 = 1500<BR>\n" );
document.write( "a=550 (number of adult tickets sold)<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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document.write( " \r<BR>\n" );
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