document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1122201>Question 1122201</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi,\r<BR>\n" );
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document.write( "I came across this problem in an old newspaper and believe I have solved it but am not sure. The answer I get is 450 gallons. Here's the question:\r<BR>\n" );
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document.write( "\"A cistern is 3/4 full of water; after 40 gallons are taken out, it is then 2/3 full. How many gallons will it hold?\"\r<BR>\n" );
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document.write( "Thank you, for your help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #738253 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=738253\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Check your answer.  If a cistern holds 450 gallons, 3/4 full it holds 337.5 gallons.  When 40 gallons of that are removed, it holds 297.5 gallons, not quite 2/3.\r<BR>\n" );
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document.write( "Full cistern=x<BR>\n" );
document.write( "it is (3/4)x<BR>\n" );
document.write( "(3/4)x-40=(2/3)x<BR>\n" );
document.write( "(1/12)x=40<BR>\n" );
document.write( "x=480 gallons<BR>\n" );
document.write( "3/4 full is 360 gallons, and 40 removed leaves 320 gallons, which is 2/3.<BR>\n" );
document.write( "Yes, it is what you wrote about. </SPAN>\n" );
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