document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1134157>Question 1134157</A>: <I><SPAN STYLE=\"word-break: break-all;\"> At a wedding, 4/9 of the audience were female and the rest male. 1/3 of the adults were female. if there were 85 male children. How many attended the wedding altogether </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #751599 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=751599\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let t = total people attending wedding<BR>\n" );
document.write( "let a = number of adults<BR>\n" );
document.write( "let g = no. of little girls<BR>\n" );
document.write( "85 = no. of little boys<BR>\n" );
document.write( "At a wedding, 4/9 of the audience were female and the rest male.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F9 ALIGN=MIDDLE  ALT=\"4%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" >t female; <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F9 ALIGN=MIDDLE  ALT=\"5%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" >t male<BR>\n" );
document.write( " 1/3 of the adults were female.<BR>\n" );
document.write( "then <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;\" > of the adult are males<BR>\n" );
document.write( ":<BR>\n" );
document.write( "I don't think there is enough information here to do this, but we can make some reality assumptions. <BR>\n" );
document.write( "All solutions have to be integers, the number of girls has to be at least 85, (more little girls at a wedding seems reasonable)<BR>\n" );
document.write( "And the total no. has to number divisible by 9, to accommodate these fractions<BR>\n" );
document.write( ": <BR>\n" );
document.write( "total males - adult male = 85 boys <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F9 ALIGN=MIDDLE  ALT=\"5%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" >t - <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 = 85<BR>\n" );
document.write( "total females - adult females = g<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F9 ALIGN=MIDDLE  ALT=\"4%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" >t  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >a = 85<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Multiply the female equation by 2, subtract the male equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2F9 ALIGN=MIDDLE  ALT=\"8%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" >t  <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 = 2g<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F9 ALIGN=MIDDLE  ALT=\"5%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" >t  <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 = 85<BR>\n" );
document.write( "--------------------------------- subtraction eliminates a<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F9 ALIGN=MIDDLE  ALT=\"3%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" >t = 2g - 85<BR>\n" );
document.write( "rewrite this equation to<BR>\n" );
document.write( "2g = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >t + 85<BR>\n" );
document.write( "g = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%281%2F3%29t+%2B+85%29%2F2 ALIGN=MIDDLE  ALT=\"%28%281%2F3%29t+%2B+85%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Put this equation y= in my Ti83, looking at the table<BR>\n" );
document.write( "the first integer solution where g>85 and t is divisible by 9<BR>\n" );
document.write( "t = 279 and g = 89<BR>\n" );
document.write( "Check this by finding the number of adults<BR>\n" );
document.write( "279-(89+85) = 185, we are not able to divide this into 3rds evenly so this is not our solution:<BR>\n" );
document.write( ":<BR>\n" );
document.write( "The next is t = 297 and g = 92<BR>\n" );
document.write( "Find the number of adults: 297-(92+85) = 120, divisible be 3 (80 males, 40 females)<BR>\n" );
document.write( "I am going to say we have a total of 297 people,<BR>\n" );
document.write( "consisting of <BR>\n" );
document.write( "80 male adults<BR>\n" );
document.write( "40 female adults<BR>\n" );
document.write( "85 boys <BR>\n" );
document.write( "92 girls<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "297 people\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "  </SPAN>\n" );
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