document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1188238>Question 1188238</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Justin had some cards. He gave Alan 1/10 of the cards and bought another 45 <BR>\n" );
document.write( "new cards. Then he used 1/3 of the new total number of cards and bought 40 new<BR>\n" );
document.write( "cards. He had 160 cards in the end. How many cards did he have at first? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #819272 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=819272\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> He had x at first.<BR>\n" );
document.write( "Then he had 0.9x, then 0.9x + 45<BR>\n" );
document.write( "then he had (1/3)(0.9x+45)+40=160<BR>\n" );
document.write( "so (1/3)(0.9x+45)=120<BR>\n" );
document.write( "0.9x+45=360, multiplying by 3<BR>\n" );
document.write( "0.9x=315<BR>\n" );
document.write( "x=350 cards to begin with<BR>\n" );
document.write( "315 after giving away 10%<BR>\n" );
document.write( "then 360 after getting 45<BR>\n" );
document.write( "1/3 of those is 120, and another 40 is 160.\r<BR>\n" );
document.write( "\n" );
document.write( "he had 350 to begin with. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );