document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=362079>Question 362079</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Set up an inequality and solve it. Be sure to label clearly what the variable represents. If three-fourths of a number is 21 less than two-fifths of the number, what is the number? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #258096 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley77><B>checkley77(12844)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley77><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=258096\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 3/4X=2/5x-21<BR>\n" );
document.write( "3X/4=2X/5-21<BR>\n" );
document.write( "3X/4-2X/5=-21<BR>\n" );
document.write( "(5*3X-4*2X)/4*5=-21<BR>\n" );
document.write( "(15X-8X)/20=-21<BR>\n" );
document.write( "7X/20=-21 CROSS MULTIPLY.<BR>\n" );
document.write( "7X=-21*20<BR>\n" );
document.write( "7X=-420<BR>\n" );
document.write( "X=-420/7<BR>\n" );
document.write( "X=-60 ANS.<BR>\n" );
document.write( "PROOF:<BR>\n" );
document.write( "3/4*-60=2/5*-60-21<BR>\n" );
document.write( "-180/4=-120/5-21<BR>\n" );
document.write( "-45=-24-21<BR>\n" );
document.write( "-45=-45 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );