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" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #39039 by </B><A HREF=/tutors/aboutme.mpl?userid=funmath><B>funmath(2933)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=funmath><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=39039\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If you are the same person I answered earlier, you wanted a system of two equations and two unknowns.  If you aren't and you only want one equation and one unknow, let me know.<BR>\n" );
document.write( "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( ":<BR>\n" );
document.write( "The total number of adults, a, and students, s, is 1500.<BR>\n" );
document.write( "a+s=1500<BR>\n" );
document.write( "The total amount of money taken in per adult is $3.50*a, the amount of money taken in per student is $2.00s, which totals $3825.<BR>\n" );
document.write( "3.50a+2.00s=3825<BR>\n" );
document.write( "The system of equations is:<BR>\n" );
document.write( "a+s=1500<BR>\n" );
document.write( "3.50a+2.00s=3825  <BR>\n" );
document.write( ":<BR>\n" );
document.write( "Solve the first equation for a and substitute that into the second equation and solve that equation for s:<BR>\n" );
document.write( "a+s=1500<BR>\n" );
document.write( "a=1500-s<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3.50%2Ahighlight%28%281500-s%29%29%2B2.00s=3825 ALIGN=MIDDLE  ALT=\"3.50%2Ahighlight%28%281500-s%29%29%2B2.00s=3825\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "5250-3.50s+2.00s=3825<BR>\n" );
document.write( "5250-1.50s=3825<BR>\n" );
document.write( "-1.50s=3825-5250<BR>\n" );
document.write( "-1.50s=-1425<BR>\n" );
document.write( "-1.50s/-1.50=-1425/-1.50<BR>\n" );
document.write( "s=950<BR>\n" );
document.write( "Substitute s=950 into the first equation and solve for a.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Bhighlight%28950%29=1500 ALIGN=MIDDLE  ALT=\"a%2Bhighlight%28950%29=1500\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a=1500-950<BR>\n" );
document.write( "a=550<BR>\n" );
document.write( "Theref were 550 adults and 950 students.<BR>\n" );
document.write( "Happy Calculating!!! </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );