document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=109139>Question 109139</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780073268620/algebrahomeworkh>Elementary and Intermediate Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Please help me with this word problem: Write a system of two equations in two unknowns for each problem. Solve each system by substitution. 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 #79584 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=79584\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Please help me with this word problem: Write a system of two equations in two unknowns for each problem. Solve each system by substitution. <BR>\n" );
document.write( "Tickets for a concert were sold to adults for $3 and to students for $2. <BR>\n" );
document.write( "If the total receipts were $824 <BR>\n" );
document.write( "and twice as many adult tickets as student tickets were sold, <BR>\n" );
document.write( "then how many of each were sold? <BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "Let # of adult tickets be \"a\" ; Let # of student tickets be \"s\".<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "EQUATIONS:<BR>\n" );
document.write( "Quantity: a = 2s<BR>\n" );
document.write( "Value:   3a+2s = 824<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "Substitute to solve for \"s\", as follows:<BR>\n" );
document.write( "3a + 2(2s) = 824<BR>\n" );
document.write( "7s = 824<BR>\n" );
document.write( "s = 117.714...<BR>\n" );
document.write( "=========<BR>\n" );
document.write( "Comment: # of student tickets should turn out <BR>\n" );
document.write( "to be a whole number.  Check your problem<BR>\n" );
document.write( "statement.<BR>\n" );
document.write( "===============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );