document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1006469>Question 1006469</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A bag contains some silver balls and golden balls. If you remove one silver ball from the bag, 1/7 of the remaining balls in the bag are silver. If you remove 2 GOLDEN balls from the bag, 1/5 of the remaining balls in the bag are silver. How many balls are there in the bag at first?\r<BR>\n" );
document.write( "\n" );
document.write( "Please have a clear explanation, thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #622598 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=622598\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+g+ ALIGN=MIDDLE  ALT=\"+g+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = number of golden balls in bag at first<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+ ALIGN=MIDDLE  ALT=\"+s+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = number of silver balls in bag at first<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+g+%2B+s+ ALIGN=MIDDLE  ALT=\"+g+%2B+s+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = total number of balls in bag at first<BR>\n" );
document.write( "-----------------------------------------<BR>\n" );
document.write( "given:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+s-1+%29+%2F+%28+s+-+1+%2B+g+%29+=+1%2F7+ ALIGN=MIDDLE  ALT=\"+%28+s-1+%29+%2F+%28+s+-+1+%2B+g+%29+=+1%2F7+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "( note that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+-+1+%2B+g+ ALIGN=MIDDLE  ALT=\"+s+-+1+%2B+g+\"   DISABLED_style= \"max-width:90%; height:auto;\" > are the number of balls remaining in bag )<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+%2F+%28+s+%2B+g+-+2+%29+=+1%2F5+ ALIGN=MIDDLE  ALT=\"+s+%2F+%28+s+%2B+g+-+2+%29+=+1%2F5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "( <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+%2B+g+-+2+ ALIGN=MIDDLE  ALT=\"+s+%2B+g+-+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > are number of balls remaining  in bag )<BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "Multiply both sides of (1) by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+7%2A%28+s+-+1+%2B+g+%29+ ALIGN=MIDDLE  ALT=\"+7%2A%28+s+-+1+%2B+g+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+7s+-+7+=+s+-+1+%2B+g+ ALIGN=MIDDLE  ALT=\"+7s+-+7+=+s+-+1+%2B+g+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+g+-+6s+=+-6+ ALIGN=MIDDLE  ALT=\"+g+-+6s+=+-6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "Multiply both sides of (2) by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5%2A%28+s+%2B+g+-+2+%29+ ALIGN=MIDDLE  ALT=\"+5%2A%28+s+%2B+g+-+2+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5s+=+s+%2B+g+-+2+ ALIGN=MIDDLE  ALT=\"+5s+=+s+%2B+g+-+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+g+-+4s+=+2+ ALIGN=MIDDLE  ALT=\"+g+-+4s+=+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "Subtract (1) from (2)<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+g+-+4s+=+2+ ALIGN=MIDDLE  ALT=\"+g+-+4s+=+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-g+%2B+6s+=+6+ ALIGN=MIDDLE  ALT=\"+-g+%2B+6s+=+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2s+=+8+ ALIGN=MIDDLE  ALT=\"+2s+=+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+=+4+ ALIGN=MIDDLE  ALT=\"+s+=+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+g+-+4s+=+2+ ALIGN=MIDDLE  ALT=\"+g+-+4s+=+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+g+-+4%2A4+=+2+ ALIGN=MIDDLE  ALT=\"+g+-+4%2A4+=+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+g+-+16+=+2+ ALIGN=MIDDLE  ALT=\"+g+-+16+=+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+g+=+18+ ALIGN=MIDDLE  ALT=\"+g+=+18+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4+%2B+18+=+22+ ALIGN=MIDDLE  ALT=\"+4+%2B+18+=+22+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "There are 22 balls in the bag at first<BR>\n" );
document.write( "-----------------------------<BR>\n" );
document.write( "check the answer:<BR>\n" );
document.write( "Remove 1 silver ball<BR>\n" );
document.write( "There are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4+-+1+=+3+ ALIGN=MIDDLE  ALT=\"+4+-+1+=+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" > silver balls left<BR>\n" );
document.write( "There are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+22+-+1+=+21+ ALIGN=MIDDLE  ALT=\"+22+-+1+=+21+\"   DISABLED_style= \"max-width:90%; height:auto;\" > total balls left<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3%2F21+=+1%2F7+ ALIGN=MIDDLE  ALT=\"+3%2F21+=+1%2F7+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F7+=+1%2F7+ ALIGN=MIDDLE  ALT=\"+1%2F7+=+1%2F7+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "Remove 2 golden balls<BR>\n" );
document.write( "There are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+18+-+2+=+16+ ALIGN=MIDDLE  ALT=\"+18+-+2+=+16+\"   DISABLED_style= \"max-width:90%; height:auto;\" > golden balls left<BR>\n" );
document.write( "There are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4+%2B+16+=+20+ ALIGN=MIDDLE  ALT=\"+4+%2B+16+=+20+\"   DISABLED_style= \"max-width:90%; height:auto;\" > total balls left<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4%2F20+=+1%2F5+ ALIGN=MIDDLE  ALT=\"+4%2F20+=+1%2F5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F5+=+1%2F5+ ALIGN=MIDDLE  ALT=\"+1%2F5+=+1%2F5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );