document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1032363>Question 1032363</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There are 550 people at a basketball tournament. 1/3 of the adults and 1/5 of the children wear basketball jerseys.The number of adults and children not wearing jerseys are equal.How many children do not wear jerseys? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #647022 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=647022\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let a = the number of adults.<BR>\n" );
document.write( "let c = the number of children.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "you get:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "a + c = 550\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "this means the number of adults and children totals 550 in all.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "1/3 * a = number of adults wearing jerseys.<BR>\n" );
document.write( "1/5 * c = number of children wearing jerseys.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "2/3 * a = number of adults not wearing jerseys.<BR>\n" );
document.write( "4/5 * c = number of children not wearing jerseys.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "you are given that the number of adults not wearing jerseys is the same as the number of children not wearing jerseys.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "this means that 2/3 * a = 4/5 * c\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "divide both sides of the equation by (2/3) to get a = 4/5 * c / (2/3)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "simplify this to get a = 6/5 * c.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "in the first equation of a + c = 550, replace a with 6/5 * c to get 6/5 * c + c = 550.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "simplify this to get 11/5 * c = 550.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "solve for c to get c = 550 / (11/5) = 250.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "since a = 6/5 * c, this means a = 500.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "a + c = 550 becomes 300 + 250 = 550 which becomes 550 = 550.<BR>\n" );
document.write( "this part is good.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "1/3 * a = 100 adults wearing jerseys.<BR>\n" );
document.write( "this means 200 adults are not wearing jerseys.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "1/5 * 250 = 50 children wearing jerseys.<BR>\n" );
document.write( "this means 200 children are not wearing jerseys.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the number of adults not wearing jerseys is the same as the number of children not wearing jerseys.<BR>\n" );
document.write( "this part is good.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "your solution is that 200 children are not wearing jerseys.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "if there is any part of this that you do not understand, please let me know and i will explain it in more detail.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );