document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=827135>Question 827135</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi I am having trouble with these two maths questions. It would be great if you could send me the working out!! \r<BR>\n" );
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document.write( "Two tanks contain equal amounts of water. They are connected by a pipe and 3000 liters of water is pumped from one tank to the other. One tank then contains 6 times as much as water as the other. How many liters of water did each tank contain originally? \r<BR>\n" );
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document.write( "A 120 page book has p lines to a page. If the number of lines were reduced by 3 on each page the number of pages would need to be increased by 20 to give the same amount of writing space. How many lines were there on the page originally? \r<BR>\n" );
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document.write( "Thanks  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #498473 by </B><A HREF=/tutors/aboutme.mpl?userid=JBarnum><B>JBarnum(2146)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=JBarnum><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=JBarnum><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=498473\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> these look to be set up alor like age word problems more than quadratics.\r<BR>\n" );
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document.write( "tank A and tank B\r<BR>\n" );
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document.write( "\"Two tanks contain equal amounts of water.\" <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=B ALIGN=MIDDLE  ALT=\"A=B\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "so if we take 3000 liters from <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A ALIGN=MIDDLE  ALT=\"A\"   DISABLED_style= \"max-width:90%; height:auto;\" > and give it to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B ALIGN=MIDDLE  ALT=\"B\"   DISABLED_style= \"max-width:90%; height:auto;\" > they are now saying that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B ALIGN=MIDDLE  ALT=\"B\"   DISABLED_style= \"max-width:90%; height:auto;\" > has 6 times more water than <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A ALIGN=MIDDLE  ALT=\"A\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "its the same as saying <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A-3000 ALIGN=MIDDLE  ALT=\"A-3000\"   DISABLED_style= \"max-width:90%; height:auto;\" > is now 1/6 of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B%2B3000 ALIGN=MIDDLE  ALT=\"B%2B3000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "the equation will look like:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A-3000=%28B%2B3000%29%2F6 ALIGN=MIDDLE  ALT=\"A-3000=%28B%2B3000%29%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "now if A=B sub out A with B<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B-3000=%28B%2B3000%29%2F6 ALIGN=MIDDLE  ALT=\"B-3000=%28B%2B3000%29%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "get rid of fraction by multiplying by 6<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6B-18000=B%2B3000 ALIGN=MIDDLE  ALT=\"6B-18000=B%2B3000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "subtract a B and add 18000 to both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5B=21000 ALIGN=MIDDLE  ALT=\"5B=21000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "divide by 5<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B=4200 ALIGN=MIDDLE  ALT=\"B=4200\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "so if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=B ALIGN=MIDDLE  ALT=\"A=B\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=highlight%284200%29 ALIGN=MIDDLE  ALT=\"A=highlight%284200%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "now check<BR>\n" );
document.write( "if 3000 gets taken from A and given to B it should look like this<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4200-3000=1200 ALIGN=MIDDLE  ALT=\"4200-3000=1200\"   DISABLED_style= \"max-width:90%; height:auto;\" >=the new value for A and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4200%2B3000=7200 ALIGN=MIDDLE  ALT=\"4200%2B3000=7200\"   DISABLED_style= \"max-width:90%; height:auto;\" >= the new value for B<BR>\n" );
document.write( "B should be 6 times greater lets see<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7200%2F1200=6 ALIGN=MIDDLE  ALT=\"7200%2F1200=6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "this is correct\r<BR>\n" );
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document.write( "whoops forgot the second equation....\r<BR>\n" );
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document.write( "1 page has P amount of lines\r<BR>\n" );
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document.write( "there is 120 pages in the book so 120P=total amount of lines in the book<BR>\n" );
document.write( "so if P is reduced by 3 the book would need 20 more pages to be equal to original set up.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=120P=140%28P-3%29 ALIGN=MIDDLE  ALT=\"120P=140%28P-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > I added the 20 pages to the original 120 pages and that total like the first part gets multiplied by how many lines there are per page.<BR>\n" );
document.write( "(total pages times lines per page)=(total pages times lines per page)<BR>\n" );
document.write( "distribute the 140<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=120P=140P-420 ALIGN=MIDDLE  ALT=\"120P=140P-420\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "subtract 120P and add 420 to both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=420=20P ALIGN=MIDDLE  ALT=\"420=20P\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "divide by 20<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%2821%29=P ALIGN=MIDDLE  ALT=\"highlight%2821%29=P\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "so this means that originally there were 21 lines per page<BR>\n" );
document.write( "lets check to make sure<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=120%2821%29=2520 ALIGN=MIDDLE  ALT=\"120%2821%29=2520\"   DISABLED_style= \"max-width:90%; height:auto;\" >lines in book<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=140%2821-3%29=2520 ALIGN=MIDDLE  ALT=\"140%2821-3%29=2520\"   DISABLED_style= \"max-width:90%; height:auto;\" >lines in book<BR>\n" );
document.write( "this is correct<BR>\n" );
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