document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=797275>Question 797275</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve for x. 1000 = x + 1/5x.  I have tried deducting 20% from 1000 but the math doesn't work out. 1000-200=800. But 20% of 800 = 160 and 800+160=960. In other words if 1000 is say a total that includes a 20% tip, what is the break down of the total prior to the tip and the tip itself? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #481741 by </B><A HREF=/tutors/aboutme.mpl?userid=DrBeeee><B>DrBeeee(684)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=DrBeeee><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=481741\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given:<BR>\n" );
document.write( "(1) x + x/5 = 1000<BR>\n" );
document.write( "Just add the like terms on the left side of (1) to get <BR>\n" );
document.write( "(2) x + 0.2*x = 1000 or<BR>\n" );
document.write( "(3) (1 + 0.2)*x = 1000 or<BR>\n" );
document.write( "(4) 1.2*x = 1000 or<BR>\n" );
document.write( "(5) x = 1000/1.2 or<BR>\n" );
document.write( "(6) x = 833.333... or<BR>\n" );
document.write( "(7) x = 2500/3<BR>\n" );
document.write( "Check with (1).<BR>\n" );
document.write( "Is (2500/3 + (1/5)*(2500/3) = 1000)?<BR>\n" );
document.write( "Is (2500/3 + 2500/15 = 1000)?<BR>\n" );
document.write( "Is (2500*(1/3 + 1/15) = 1000)?<BR>\n" );
document.write( "Is (2500*(6/15) = 1000)?<BR>\n" );
document.write( "Is (15000/15 = 1000)?<BR>\n" );
document.write( "Is (1000 = 1000)? Yes<BR>\n" );
document.write( "Answer: x = 2500/3 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );