document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=222976>Question 222976</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A tank holds 800 gallons of water.  The gauge indicates that the tank is ¾ full; then 100 gallons are drained from the tank to fill a pool 7/8 full.  Next, 1/3 of a tank of water is added back in.  What fraction of the tank is filled with water?\r<BR>\n" );
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document.write( "I have figured out that 800 gallons = 3/4 full (tank) and that 3/4 = 6/8.  I do not know how to solve the problem from here! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #166827 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=166827\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A tank holds 800 gallons of water.  The gauge indicates that the tank is ¾ full; then 100 gallons are drained from the tank to fill a pool 7/8 full.  Next, 1/3 of a tank of water is added back in.  What fraction of the tank is filled with water?\r<BR>\n" );
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document.write( "Let T represent a full tank = 800 gallons of water.<BR>\n" );
document.write( "Let P represent a full pool = ???\r<BR>\n" );
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document.write( "3/4 * T - 100 = 7/8 * P\r<BR>\n" );
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document.write( "This formula says that three quarters of the tank minus 100 gallons equals 7/8 of the capacity of the pool.\r<BR>\n" );
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document.write( "You are adding 1/3 of a tank of water back in to the tank ?????\r<BR>\n" );
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document.write( "This problem apparently doesn't have anything to do with the pool.\r<BR>\n" );
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document.write( "Here's why I think that way.\r<BR>\n" );
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document.write( "Your tank is 3/4 full meaning it have 800*3/4 = 600 gallons in it.\r<BR>\n" );
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document.write( "you drain 100 gallons from it so you are left with 500 gallons in the tank.\r<BR>\n" );
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document.write( "you add 1/3 of a tank full of water back into it, so you are adding 800/3 = 266 and 2/3 gallons into it.\r<BR>\n" );
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document.write( "500 + 266 and 2/3 = 766 and 2/3 gallons / 800 = .9583333333 percent full.\r<BR>\n" );
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document.write( "in fractions, you would have (2300/3) / (2400/3) which is the same as 2300/2400.\r<BR>\n" );
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document.write( "2300/2400 is the same as 23/24 = .95833333333 so your fraction of the tank that is full would be 23/24.\r<BR>\n" );
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document.write( "The pool had nothing to do with it other than to add extraneous information as far as I could see.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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