document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=541752>Question 541752</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi there! Just wondering if you could help me with a question :)\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 three 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 #354288 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=354288\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \"A 120-page book has p lines to a page.<BR>\n" );
document.write( " If the number of lines were reduced by three on each page, the number of pages would need to be increased by 20 to give the same amount of writing space.<BR>\n" );
document.write( " How many lines were there on the page originally?<BR>\n" );
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document.write( "Let p = no.  of pages originally<BR>\n" );
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document.write( "120p = no. of lines originally<BR>\n" );
document.write( "then<BR>\n" );
document.write( "140(p-3) =  when page lines are reduced by 3, and pages increased by 20<BR>\n" );
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document.write( "Total no. of lines remain the same, therefore the equation is:<BR>\n" );
document.write( "140(p-3) = 120p<BR>\n" );
document.write( "140p - 420 = 120p<BR>\n" );
document.write( "140p - 120p = 420<BR>\n" );
document.write( "20p = 420<BR>\n" );
document.write( "p = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=420%2F20 ALIGN=MIDDLE  ALT=\"420%2F20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "p = 21 lines per page originally<BR>\n" );
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document.write( "Prove this by seeing the total number of lines remain the same.<BR>\n" );
document.write( "120*21 = 2520 lines<BR>\n" );
document.write( "140*18 = 2520<BR>\n" );
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