document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1032361>Question 1032361</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There are 550 people at a tournament. 1/3 of the adults and 1/5 of the children wear 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 #647065 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=647065\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let a = no. of adults<BR>\n" );
document.write( "let c = no. of children<BR>\n" );
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document.write( "Write an equation for each statement<BR>\n" );
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document.write( "There are 550 people at a tournament.<BR>\n" );
document.write( "a + c = 550<BR>\n" );
document.write( " 1/3 of the adults and 1/5 of the children wear jerseys.<BR>\n" );
document.write( "therefore<BR>\n" );
document.write( "2/3 of the adults and 4/5 of the children are NOT wearing jerseys<BR>\n" );
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document.write( "The number of adults and children not wearing jerseys are equal.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >a = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F5 ALIGN=MIDDLE  ALT=\"4%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >c<BR>\n" );
document.write( "Multiply both sides by 15 to get rid of the denominators<BR>\n" );
document.write( "5(2a) = 3(4c)<BR>\n" );
document.write( "10a = 12c<BR>\n" );
document.write( "a = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2812c%29%2F10 ALIGN=MIDDLE  ALT=\"%2812c%29%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a = 1.2c<BR>\n" );
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document.write( "Using the 1st equation, replace a with 1.2c<BR>\n" );
document.write( "1.2c + c = 550<BR>\n" );
document.write( "2.2c = 550<BR>\n" );
document.write( "c = 550/2.2<BR>\n" );
document.write( "c = 250 children total<BR>\n" );
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document.write( "How many children do not wear jerseys? <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F5 ALIGN=MIDDLE  ALT=\"4%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >*250 = 200 children <BR>\n" );
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document.write( "Check this by finding the number of Adults not wearing jerseys<BR>\n" );
document.write( "550-250 = 300 adults<BR>\n" );
document.write( "2/3 * 300 = 200; equal to the children not wearing jerseys </SPAN>\n" );
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