document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=104886>Question 104886</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write a system of two equations in two unknowns for each problem.  Solve each system by substitution.\r<BR>\n" );
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document.write( "Tickets for a concert were sold to adults for $3 and to students for $2.  If the total receipts were $824 and twice as many adult tickets as student tickets were sold, then how many of each were sold?\r<BR>\n" );
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document.write( "I'm struggling with how to set this problem up and solve it.  Is it somthing like:  3a>2=824? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #76328 by </B><A HREF=/tutors/aboutme.mpl?userid=oberobic><B>oberobic(2304)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=oberobic><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=76328\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Revenue = Price per Unit * Number of Units Sold<BR>\n" );
document.write( "R = PQ<BR>\n" );
document.write( "R for adults = Ra = 3A (where A = number of adults)<BR>\n" );
document.write( "R for student = Rs = 2B (where B = number of students)<BR>\n" );
document.write( "Ra + Rs = 824.<BR>\n" );
document.write( "Twice as many adult tickets were sold, means that A = 2B.<BR>\n" );
document.write( "Substituting, we have:<BR>\n" );
document.write( "Ra = 3A = 3(2B) = 6B.<BR>\n" );
document.write( "Rs = 2B<BR>\n" );
document.write( "Ra + Rs = 6B + 2B = 8B = 824<BR>\n" );
document.write( "Dividing by 8<BR>\n" );
document.write( "B = 824/8 = 103<BR>\n" );
document.write( "B = number of student tickets<BR>\n" );
document.write( "A = 2B = 2(103) = 206 adult tickets sold<BR>\n" );
document.write( "ALWAYS check!<BR>\n" );
document.write( "3(206) + 2(103) = 824<BR>\n" );
document.write( "618 +206 = 824<BR>\n" );
document.write( "824=824<BR>\n" );
document.write( "CHECK! </SPAN>\n" );
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