document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=996029>Question 996029</A>: <I><SPAN STYLE=\"word-break: break-all;\"> g = -5t + 99\r<BR>\n" );
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document.write( "The variable t represents the number of tables Kathleen has set, and the variable g represents the number of glasses remaining. How many tables does Kathleen need to set in order to have just 74 glasses left to distribute?\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 #614656 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=614656\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> looks like there are 5 glasses per table.\r<BR>\n" );
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document.write( "g = -5t + 99\r<BR>\n" );
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document.write( "t is number of tables and g is number of glasses left\r<BR>\n" );
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document.write( "replace g with 74 and you get:\r<BR>\n" );
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document.write( "74 = -5t + 99<BR>\n" );
document.write( "add 5t to both sides of this equation and subtract 74 from both sides of this eqution to get:<BR>\n" );
document.write( "5t = 99-74<BR>\n" );
document.write( "divide both sides of this equation to get:<BR>\n" );
document.write( "t = (99-74)/5\r<BR>\n" );
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document.write( "solve for t to get t = (99-74)/5 = 25/5 = 5.\r<BR>\n" );
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document.write( "she starts with 99 glasses.<BR>\n" );
document.write( "5 tables at 5 glasses apiece equals 25 glasses.<BR>\n" );
document.write( "99 - 25 = 74.\r<BR>\n" );
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document.write( "in the equation of g = -5t + 99:\r<BR>\n" );
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document.write( "99 is the number of glasses she has when the number of tables is equal to 0.<BR>\n" );
document.write( "this is because g = -5t + 99 becomes g = -5*0 + 99 which becomes g = 99.\r<BR>\n" );
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document.write( "the slope of this equation is -5.<BR>\n" );
document.write( "this means that for every table that's added, the number of glasses remaining goes down by 5.<BR>\n" );
document.write( "this can only occur if she places 5 glasses on each table.\r<BR>\n" );
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document.write( "when t = 5, the formula becomes:\r<BR>\n" );
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document.write( "g = -5*5 + 99 which then becomes g = -25 + 99 which then becomes g = 74.\r<BR>\n" );
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document.write( "5 tables were set and each table took 5 glasses, o the glasses remaining was 99 - 25 = 74.\r<BR>\n" );
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