document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=286029>Question 286029</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A group containing boys and girls took a test. If exactly 2/3 of the boys and exactly 3/4 of the girls passed the test, and if an equal number of boys and girls passed the test, then what fraction of the entire group passed the test?\r<BR>\n" );
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document.write( "a 11/16  b  12/17  c 13/18  d  14/19  e 17/23 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #207449 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=207449\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A group containing boys and girls took a test. <BR>\n" );
document.write( "If exactly 2/3 of the boys and exactly 3/4 of the girls passed the test,<BR>\n" );
document.write( " and if an equal number of boys and girls passed the test, <BR>\n" );
document.write( "then what fraction of the entire group passed the test? <BR>\n" );
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document.write( "b = total no. of boys<BR>\n" );
document.write( "g = total no. of girls<BR>\n" );
document.write( "(b+g) = total in group<BR>\n" );
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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;\" >b = <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;\" >g<BR>\n" );
document.write( "multiply both sides by 12<BR>\n" );
document.write( "4(2)b = 3(3)g<BR>\n" );
document.write( "8b = 9g<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%2Fg ALIGN=MIDDLE  ALT=\"b%2Fg\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2F8 ALIGN=MIDDLE  ALT=\"9%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Equal boy and girls passed so we can say:<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;\" >9 = <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;\" >8<BR>\n" );
document.write( "6 = 6; therefore 12 represent total that passed<BR>\n" );
document.write( "9 + 8 = 17 represents total students<BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2F17 ALIGN=MIDDLE  ALT=\"12%2F17\"   DISABLED_style= \"max-width:90%; height:auto;\" > fraction that passed </SPAN>\n" );
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