document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1014384>Question 1014384</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have a total number of 33 participants that took a survey. This is split into two groups. One group consisted of 22 people, the second group consisted of 11 people. I know the overall approval percentage was 44%, the group consisting of 22 people averaged 36%, how do I find out what the score was for the other group of 11 people to get to the final approval percentage of 44? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #630722 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=630722\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 22 * 36% + 11 * x = 33 * 44%\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "simplify to get 792% + 11x = 1452%\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "subtract 792% from both sides of the eqaution to get:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "11x = 1452% - 792%\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "simplify to get 11x = 660%\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "sivide both sides of this equation by 11 to get x = 660/11 = 60%\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the first group averaged 36%.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the second group averaged 60%.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "basically, the formula is:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "total score / number of people = average score per person.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "average score per person * number of people = total score.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "22 * 36% + 11 * 60% = 1452% / 33 = 44% per person.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "44% is your overall average.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the average for the group of 22 is 36%<BR>\n" );
document.write( "the average for the group of 11 is 60%.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "you could also look at it in the following way.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "22 / 33 = 2/3 of the total group.<BR>\n" );
document.write( "11 / 33 = 1/3 of the total group.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "your overall weighted average is equal to 2/3 * 36% + 1/3 * 60% = 44%.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );