document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=92196>Question 92196</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Directions: Write a system of two equations in two unknowns for each problem. Solve each system by substitution.\r<BR>\n" );
document.write( "\n" );
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?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #67026 by </B><A HREF=/tutors/aboutme.mpl?userid=uma><B>uma(370)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=uma><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=67026\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x be the number of student tickets sold.\r<BR>\n" );
document.write( "\n" );
document.write( "Let y be the number of adult tickets sold.\r<BR>\n" );
document.write( "\n" );
document.write( "Then the equation is y = 2x ----------------(1)\r<BR>\n" );
document.write( "\n" );
document.write( "Cost of y adult tickets at $3 each = 3y\r<BR>\n" );
document.write( "\n" );
document.write( "Cost of students ticket at $2 each = 2x\r<BR>\n" );
document.write( "\n" );
document.write( "Total receipt = $824\r<BR>\n" );
document.write( "\n" );
document.write( "Then 2x + 3y = 824 ------------------(2)\r<BR>\n" );
document.write( "\n" );
document.write( "Substituting the value for y from (1) in (2),\r<BR>\n" );
document.write( "\n" );
document.write( " 2x + 3(2x) = 824\r<BR>\n" );
document.write( "\n" );
document.write( "==> 2x + 6x = 824\r<BR>\n" );
document.write( "\n" );
document.write( "==> 8x = 824\r<BR>\n" );
document.write( "\n" );
document.write( "==> x = 824/8<BR>\n" );
document.write( "      = 103\r<BR>\n" );
document.write( "\n" );
document.write( "Thus no: of students ticket sold = 103\r<BR>\n" );
document.write( "\n" );
document.write( "No: of adult tickets sold = 2*103\r<BR>\n" );
document.write( "\n" );
document.write( "                          = 206<BR>\n" );
document.write( "Good Luck!!! </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );