document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1183229>Question 1183229</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The average of m numbers is a and the average of n numbers is b. If the average of all the (m+n) numbers is k, what is the value of m? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #813438 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=813438\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The average of m numbers is a and the average of n numbers is b.<BR>\n" );
document.write( " If the average of all the (m+n) numbers is k, what is the value of m<BR>\n" );
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document.write( "the total in 1st group + the total in the 2nd group divided by (m+n) = k<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28ma+%2B+nb%29%2F%28m%2Bn%29+=+k ALIGN=MIDDLE  ALT=\"%28ma+%2B+nb%29%2F%28m%2Bn%29+=+k\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "ma + nb = k(m+n)<BR>\n" );
document.write( "ma + nb - km + kn<BR>\n" );
document.write( "ma - km = kn - nb<BR>\n" );
document.write( "m(a-k) = n(k-b)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "m = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28n%28k-b%29%29%2F%28a-k%29 ALIGN=MIDDLE  ALT=\"%28n%28k-b%29%29%2F%28a-k%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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