document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=563890>Question 563890</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Average mass of a group of people is 45.2kg. A newcomer to the group weighs 51kg, which increases the average by 0.2kg How many people are now in the group?\r<BR>\n" );
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document.write( "This is a question which needs a quadratic equation to be set up in the form ax˛+bx+c=0 so that it can be solved using the quadratic formula. I just can't figure out how to set it up. Please help me! :-) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #365124 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=365124\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let the number in the group be x\r<BR>\n" );
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document.write( "total mass = x*45.2 =45.2x\r<BR>\n" );
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document.write( "One person joins so the total mass = 45.2x+ 51\r<BR>\n" );
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document.write( "The number of people = x+1\r<BR>\n" );
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document.write( "Average of the group =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2845.2x%2B51%29%2F%28x%2B1%29=45.2%2B0.2 ALIGN=MIDDLE  ALT=\"%2845.2x%2B51%29%2F%28x%2B1%29=45.2%2B0.2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2842.5x%2B51%29%2F%28x%2B1%29=45.4 ALIGN=MIDDLE  ALT=\"%2842.5x%2B51%29%2F%28x%2B1%29=45.4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "45.4(x+1)=45.2x+51\r<BR>\n" );
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document.write( "45.4x+45.4=45.2+51\r<BR>\n" );
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document.write( "45.4x-45.2x=51-45.4<BR>\n" );
document.write( "0.2x=5.6<BR>\n" );
document.write( "/0.2<BR>\n" );
document.write( "x=28\r<BR>\n" );
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document.write( "there are 29 in the group now\r<BR>\n" );
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