document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=981763>Question 981763</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two negative integers are in the ratio 4 to 5. If the larger of the numbers is -40, what is the average of the two numbers?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #602707 by </B><A HREF=/tutors/aboutme.mpl?userid=lmeeks54><B>lmeeks54(111)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lmeeks54><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=lmeeks54><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=602707\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First write down what you know and think about what the question is asking you, then figure it out.  Simple, right? <joking><BR>\n" );
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document.write( "What we Know:<BR>\n" );
document.write( "Both are negative integers<BR>\n" );
document.write( "Ratio of the integers is 4 to 5 (= 4/5)<BR>\n" );
document.write( "Largest is -40<BR>\n" );
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document.write( "What we are to find out:<BR>\n" );
document.write( "What is the average of the two integers?<BR>\n" );
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document.write( "The part of both being negative is pretty straightforward.  Ignore that for now<BR>\n" );
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document.write( "Ratio of 4/5<BR>\n" );
document.write( "4/5<BR>\n" );
document.write( "8/10<BR>\n" );
document.write( "16/20<BR>\n" );
document.write( ". . .<BR>\n" );
document.write( "40/50; these all have the same ratio.  So would -40/-50.  Of course, that would too easy.  -40 is our largest integer, not our smallest<BR>\n" );
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document.write( "One easy way to solve these ratio problems is to set up an equality with what you know and then solve for the missing integer by cross-multiplying:<BR>\n" );
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document.write( " 4     X<BR>\n" );
document.write( "--- = ---<BR>\n" );
document.write( " 5    -40<BR>\n" );
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document.write( "(4 x -40) = 5X<BR>\n" );
document.write( "...<BR>\n" );
document.write( "Divide both sides by 5 to solve for X<BR>\n" );
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document.write( "(4 x -40)/5 = X<BR>\n" );
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document.write( "-160/5 = X<BR>\n" );
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document.write( "-32 = X<BR>\n" );
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document.write( "Does this make sense?<BR>\n" );
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document.write( "Now to solve the final question: the average of the two integers:<BR>\n" );
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document.write( "(-40 + -32)/2 = -72/2 = -36<BR>\n" );
document.write( "...<BR>\n" );
document.write( "The answer to the problem is -36<BR>\n" );
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