document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=485610>Question 485610</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am trying to help my son with his algebra and need some help!  I have two I am stuck on can you please help.  I need an equation to model and solve.  Below are the questions.\r<BR>\n" );
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document.write( "1)   Attendance at a ball game was 400 people.  Student tickets cost $2 and adult tickets $3.  $1050 was collected in ticket sales, how many of each were sold.\r<BR>\n" );
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document.write( "2)  Find two consecutive integers such that the sum of the first and three times the second is 55.\r<BR>\n" );
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document.write( "Thank you,<BR>\n" );
document.write( "Dwayne </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #332114 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=332114\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 400 people <BR>\n" );
document.write( "student costs $2.00 apiece<BR>\n" );
document.write( "Adult costs $3.000 apiece.<BR>\n" );
document.write( "total collected was $1050.<BR>\n" );
document.write( "x = number of student tickets<BR>\n" );
document.write( "y = number of adult tickets.<BR>\n" );
document.write( "x + y = 400<BR>\n" );
document.write( "2x + 3y = 1050<BR>\n" );
document.write( "solve simultaneously.<BR>\n" );
document.write( "multiply first equation by 2 to get:<BR>\n" );
document.write( "2x + 2y = 800<BR>\n" );
document.write( "2x + 3y = 1050<BR>\n" );
document.write( "subtract first equation from second equation to get:<BR>\n" );
document.write( "y = 250<BR>\n" );
document.write( "since x + y = 400, then x = 150.<BR>\n" );
document.write( "2*150 + 3*250 = 300 + 750 = 1050.<BR>\n" );
document.write( "number of child tickets is 150<BR>\n" );
document.write( "number of adult tickets is 250\r<BR>\n" );
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document.write( "integers are x and x+1<BR>\n" );
document.write( "sum of first and 3 times second is 55.<BR>\n" );
document.write( "x + 3(x+1) = 55<BR>\n" );
document.write( "x + 3x + 3 = 55<BR>\n" );
document.write( "4x + 3 = 55<BR>\n" );
document.write( "4x = 52<BR>\n" );
document.write( "x = 13<BR>\n" );
document.write( "x+1 = 14<BR>\n" );
document.write( "13 + 3 * 14 = 13 + 42 = 55.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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