document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1177095>Question 1177095</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi<BR>\n" );
document.write( "A V and W had a total of 510 stickers. The ratio of A to V stickers was 6:7 at first. After A and V each gave away half of their stickers the 3 had 345 stickers left. How many did W have at first. <BR>\n" );
document.write( "Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #805416 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52835)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=805416\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "A V and W had a total of 510 stickers. The ratio of A to V stickers was 6:7 at first. After A and V each <BR>\n" );
document.write( "gave away half of their stickers the 3 had 345 stickers left. How many did W have at first. <BR>\n" );
document.write( "~~~~~~~~~~~~~~~~~\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;As a continuation of the solution by @Theo.\r<BR>\n" );
document.write( "\n" );
document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;===============================================\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "In this problem, &nbsp;the imposed conditions &nbsp;CONTRADICT &nbsp;each to the other, &nbsp;so such integer numbers,\r<BR>\n" );
document.write( "\n" );
document.write( "satisfying the imposed conditions, &nbsp;DO &nbsp;NOT &nbsp;EXIST.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Indeed, &nbsp;if the sum &nbsp;&nbsp;A + V = 330, &nbsp;&nbsp;as &nbsp;@Theo correctly found in his solution, &nbsp;then the ratio of &nbsp;A &nbsp;to &nbsp;V &nbsp;stickers &nbsp;CAN &nbsp;NOT &nbsp;be &nbsp;&nbsp;6:7,\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "since there are no such integers &nbsp;A &nbsp;and &nbsp;V with the sum of &nbsp;330 &nbsp;and with the ratio &nbsp;6:7.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Thus this problem is a &nbsp;FAKE, &nbsp;good only for re-cycling.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );