document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=76980>Question 76980</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, here is the question:\r<BR>\n" );
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document.write( "The average (arithmetic mean) of the test scores of a class of p students is 70, and the average of the test scores of a class of n students is 92.  When the scores of both classes are combined, the average score is 86.  What is the value of p/n?\r<BR>\n" );
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document.write( "I first tried 86=70p + 92n, but quickly realized it wasn't going to work.  I don't know how to work it so I can eliminate one of my unknowns and solve for the other.  Help!  Thanks. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #55215 by </B><A HREF=/tutors/aboutme.mpl?userid=scott8148><B>scott8148(6628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=scott8148><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=scott8148><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=55215\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> you don't need to know (and don't have enough information to find) the values of p and n...you need to know their ratio\r<BR>\n" );
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document.write( "your equation was on track, but the 86 is the combined average...the sums of all the scores (which you did) DIVIDED by the number of scores (which you didn't do)\r<BR>\n" );
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document.write( "so...<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=86=%2870p%2B92n%29%2F%28p%2Bn%29 ALIGN=MIDDLE  ALT=\"86=%2870p%2B92n%29%2F%28p%2Bn%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >...then 86p+86n=70p+92n...so 16p=6n... so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%2Fn=3%2F8 ALIGN=MIDDLE  ALT=\"p%2Fn=3%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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