document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1101317>Question 1101317</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi<BR>\n" );
document.write( "at a fair ghe ratio of boys to girls is 4:7.after one third of the boys and one quarter of the girls left 570 children were left.<BR>\n" );
document.write( "how many were at the fair at the start.\r<BR>\n" );
document.write( "\n" );
document.write( "Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #715884 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=715884\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> at a fair ghe ratio of boys to girls is 4:7.<BR>\n" );
document.write( "after one third of the boys and one quarter of the girls left, 570 children were left.<BR>\n" );
document.write( "how many were at the fair at the start?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "let x = the multiplier<BR>\n" );
document.write( "then<BR>\n" );
document.write( "4x = no. of boys<BR>\n" );
document.write( "and<BR>\n" );
document.write( "7x = no. of girls<BR>\n" );
document.write( ":<BR>\n" );
document.write( "2/3 of the boys and 3/4 of the girls stayed <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;\" >4x + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F4 ALIGN=MIDDLE  ALT=\"3%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >7x = 570<BR>\n" );
document.write( "multiply by 12 to clear the denominators<BR>\n" );
document.write( "8(4x) + 9(7x) = 12(570)<BR>\n" );
document.write( "32x + 63x = 6840<BR>\n" );
document.write( "95x = 6840<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6840%2F95 ALIGN=MIDDLE  ALT=\"6840%2F95\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = 72 is the multiplier<BR>\n" );
document.write( "therefore originally:<BR>\n" );
document.write( "4(72) = 288 boys<BR>\n" );
document.write( "7(72) = 504 girls<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "totals: 792 kids at the start<BR>\n" );
document.write( ":<BR>\n" );
document.write( ";<BR>\n" );
document.write( "Check this<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;\" >(288) + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F4 ALIGN=MIDDLE  ALT=\"3%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >504 = <BR>\n" );
document.write( "192 + 378 = 570<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );