document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=629127>Question 629127</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Ralph spent one quarter of his allowance at the school tuckshop purchasing lunch Monday and two thirds of the remainder at the bookstore on Wednesday. If he had $4.50 left in his wallet, how much is Ralph's weekly allowance? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #396037 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=396037\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x = allowance.<BR>\n" );
document.write( "cost for lunch = x/4<BR>\n" );
document.write( "remainder = 3x/4<BR>\n" );
document.write( "cost for books = 2/3 * (3x/4) = 2x/4<BR>\n" );
document.write( "remainder = 3x/4 - 2x/4 = x/4<BR>\n" );
document.write( "remainder = 4.50 which leads to:<BR>\n" );
document.write( "4.50 = x/4<BR>\n" );
document.write( "multiply both sides by 4 to get:<BR>\n" );
document.write( "x = 18.00<BR>\n" );
document.write( "to confirm, go back to the original problem and work it through with x = 18.00<BR>\n" );
document.write( "allowance = 18.00<BR>\n" );
document.write( "cost for lunch = 18/4 = 4.5<BR>\n" );
document.write( "remainder = 18.00 - 4.5 = 13.5<BR>\n" );
document.write( "cost for books = 2/3 * remainder<BR>\n" );
document.write( "cost for books = 2/3 * 13.5 = 27/3 = 9<BR>\n" );
document.write( "remainder = 13.5 - 9 = 4.50<BR>\n" );
document.write( "everything checks out.<BR>\n" );
document.write( "allowance is $18.00<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );