document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=843041>Question 843041</A>: <I><SPAN STYLE=\"word-break: break-all;\"> in a set of 12 numbers, if the average of first 5 numbers is 6 and average of all 12 numbers is 7.5, then what is the average of last 7 numbers ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #507848 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=507848\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The average of all the numbers is their total divided by their number.\r<BR>\n" );
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document.write( "For the first 5 numbers, their average is equal to 6, so their total is equal to 5 * 6 = 30\r<BR>\n" );
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document.write( "For all twelve numbers, their average is equal to 7.5, so their total is equal to 12 * 7.5 = 90\r<BR>\n" );
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document.write( "If you subtract the total of the first 5 from the total of all 12, you will get the total of the last 7.\r<BR>\n" );
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document.write( "That total is equal to 60.\r<BR>\n" );
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document.write( "Divide that total by 7 and you get the average of the last 7.\r<BR>\n" );
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document.write( "That average is equal to 8.571428571\r<BR>\n" );
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document.write( "If you know the total and you know the number of items that were used to get that total, you can calculate the average by dividing the total by the number.\r<BR>\n" );
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document.write( "If you know the average and you know the number of items that were used to get that average, you can calculate the total by multiplying the average by the number.\r<BR>\n" );
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document.write( "In algebraic terms:\r<BR>\n" );
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document.write( "A = average<BR>\n" );
document.write( "T = total value<BR>\n" );
document.write( "N = number of data items.\r<BR>\n" );
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document.write( "A = T/N\r<BR>\n" );
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document.write( "T = A*N\r<BR>\n" );
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document.write( " </SPAN>\n" );
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