document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1204593>Question 1204593</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Isabella is buying tickets to a concert. Adult tickets (x) cost $45 each and children tickets (y) cost $37 each. Isabella spent a total of $521 and purchased 3 more children tickets than adult tickets. Which is a viable solution for the system of equations? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #840937 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=840937\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Your question \"Which is a viable solution for the system of equations\" is very strange....<br><BR>\n" );
document.write( "The \"viable solution\" to a system of equations is THE solution to that system of equations.<br><BR>\n" );
document.write( "Presumably you were given some examples of systems of equations that might BE USED TO SOLVE the problem, and you were supposed to choose the one which was a valid setup.  But in that case, for us to answer your question, you would have to show us those examples.<br><BR>\n" );
document.write( "Without seeing those examples, the simplest set of equations is<br><BR>\n" );
document.write( "(1) 45x+37y=521  (total cost of x tickets at $45 each and y tickets at $37 each is $521)<BR>\n" );
document.write( "(2) y=x+3  (the number of children tickets is 3 more than the number of adult tickets)<br><BR>\n" );
document.write( "As for the solution for the numbers of adult and children tickets, with the two equations in that form it seems substitution would be the most straightforward solution method:<br><BR>\n" );
document.write( "45x+37(x+3)=521<br><BR>\n" );
document.write( "and go from there.<br><BR>\n" );
document.write( "For a quick informal solution (which is good mental exercise), you can do this:<br><BR>\n" );
document.write( "The \"extra\" 3 children tickets cost 3($37) = $111, so the remaining tickets (equal numbers of adult and children tickets) cost $521-$111=$410.  Since one adult ticket and one children ticket cost $45+$37 = $82, the number of each kind of ticket is $410/$82 = 5.<br><BR>\n" );
document.write( "So she bought 5 adult tickets and 5+3 = 8 children tickets.<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );