document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1031871>Question 1031871</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Ok people, let's have some fun with algebra! See if you can solve this fun question. \r<BR>\n" );
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document.write( "There are 65 people on an airplane. Out of those 65 people there are three times as many women as there are men, ten less girls than there are women and the amount of boys is only a quarter of the amount of girls. \r<BR>\n" );
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document.write( "How many men, women, girls and boys are on board the plane?\r<BR>\n" );
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document.write( "Have fun! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #646564 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=646564\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There are 65 people on an airplane. Out of those 65 people there are three times as many women as there are men, ten less girls than there are women and the amount of boys is only a quarter of the amount of girls. <BR>\n" );
document.write( "How many men, women, girls and boys are on board the plane? <BR>\n" );
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document.write( "w = 3m<BR>\n" );
document.write( "g = w-10<BR>\n" );
document.write( "b = (1/4)g<BR>\n" );
document.write( "w + m + g + b = 65<BR>\n" );
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document.write( "Get it down to one variable:<BR>\n" );
document.write( "m = (w/3)<BR>\n" );
document.write( "g = w - 10<BR>\n" );
document.write( "b = (1/4)g = (1/4)(w-10) = (w-10)/4<BR>\n" );
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document.write( "Substitute to get:<BR>\n" );
document.write( "w + (w/3) + w-10 + (w/4) - (10/4) = 65<BR>\n" );
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document.write( "12w + 4w + 12w - 120 + 3w - 30 = 65*12<BR>\n" );
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document.write( "31w = 930<BR>\n" );
document.write( "w = 30 (# of women)<BR>\n" );
document.write( "m = (w/3) = 10 (# of men)<BR>\n" );
document.write( "g = w-10 = 20 (# of women)<BR>\n" );
document.write( "b = (1/4)g = 5 (# of women)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "------------- </SPAN>\n" );
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