document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=88678>Question 88678</A>: <I><SPAN STYLE=\"word-break: break-all;\"> After taking a math class a little too seriously Kelli decides that her happiness is a function of the number of books she buys and the number of movies she sees per month. In fact she decides that her happiness quotient is: H = M(B^2) where M is movies and B is books. She can buy books for $9 each on average and can get into movies for $6 if she goes to the matinee. So if she sees 3 movies and buys 2 books her happiness quotient is \r<BR>\n" );
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document.write( "H = 3(2^2) = 12. If she has $100 to spend, what’s the highest she can make her happiness quotient?\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #64452 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=64452\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> After taking a math class a little too seriously Kelli decides that her happiness is a function of the number of books she buys and the number of movies she sees per month. In fact she decides that her happiness quotient is: H = M(B^2) where M is movies and B is books. She can buy books for $9 each on average and can get into movies for $6 if she goes to the matinee. So if she sees 3 movies and buys 2 books her happiness quotient is \r<BR>\n" );
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document.write( "H = 3(2^2) = 12. \r<BR>\n" );
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document.write( "If she has $100 to spend, what’s the highest she can make her happiness quotient?\r<BR>\n" );
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document.write( "H = M(B^2)<BR>\n" );
document.write( "Value EQUATION:<BR>\n" );
document.write( "9b+6m = 100<BR>\n" );
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document.write( "Solve for m and b<BR>\n" );
document.write( "Multiples of 9 are 9,18,27,36,45,54,63,72,81,90<BR>\n" );
document.write( "Multiples of 6 ore 6,12,18,24,30,36,42,48,54,60,66,72,78,84,90,96<BR>\n" );
document.write( "Find one from each set that approximates 100.<BR>\n" );
document.write( "Also notice that the quotient has a B^2 factor so the higher the B<BR>\n" );
document.write( "the higher the H.<BR>\n" );
document.write( "9*10+1*9 = 100<BR>\n" );
document.write( "B=10 and M=1<BR>\n" );
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document.write( "So, H = 1*10^2 = 100<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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