document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=105146>Question 105146</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" );
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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 #76516 by </B><A HREF=/tutors/aboutme.mpl?userid=doukungfoo><B>doukungfoo(195)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=doukungfoo><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=doukungfoo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=76516\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Lets call the number of student tickets x<BR>\n" );
document.write( "and the number of adult tickets y<BR>\n" );
document.write( "Now we are told that 1500 people attended the game. So...<BR>\n" );
document.write( "x + y = 1500<BR>\n" );
document.write( "Now we are also told that the total receipts for the game were $3825 and student tickets cost $2.00 and adult tickets cost $3.50. So... <BR>\n" );
document.write( "2x + 3.5y = 3825<BR>\n" );
document.write( "Ok so we have a system of equations:<BR>\n" );
document.write( "x + y = 1500<BR>\n" );
document.write( "AND<BR>\n" );
document.write( "2x + 3.5y = 3825<BR>\n" );
document.write( "We can solve for x and y by using the substitution method. <BR>\n" );
document.write( "Start with the first equation and set it equal to x<BR>\n" );
document.write( "x + y = 1500<BR>\n" );
document.write( "x = 1500 - y<BR>\n" );
document.write( "Now since we have shown that x is equal to 1500-y we can substitute 1500-y for x in the second equation<BR>\n" );
document.write( "2x + 3.5y = 3825<BR>\n" );
document.write( "2(1500-y) + 3.5y = 3825<BR>\n" );
document.write( "3000 - 2y + 3.5y = 3825<BR>\n" );
document.write( "3000 + 1.5y = 3825<BR>\n" );
document.write( "1.5y = 825<BR>\n" );
document.write( "y = 550<BR>\n" );
document.write( "<B>Answer: 550 Adults attended the game</b><BR>\n" );
document.write( "Now use this value for y to solve for x<BR>\n" );
document.write( "x + y = 1500<BR>\n" );
document.write( "x + 550 = 1500<BR>\n" );
document.write( "x = 950 <BR>\n" );
document.write( "<B>Answer: 950 Students attended the game</b><BR>\n" );
document.write( "Check answers in both equations<BR>\n" );
document.write( "x + y = 1500<BR>\n" );
document.write( "950 + 550 = 1500<BR>\n" );
document.write( "1500 = 1500<BR>\n" );
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document.write( "2x + 3.5y = 3825<BR>\n" );
document.write( "2(950) + 3.5(550) = 3825<BR>\n" );
document.write( "1900 + 1925 = 3825<BR>\n" );
document.write( "3825 = 3825\r<BR>\n" );
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