document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1120585>Question 1120585</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi<BR>\n" );
document.write( "there were a total of 522 blue , red and green beads in a box. After 66 blue beads were removed and 104 red beads were added and the number of green beads were tripled, the ratio of red and blue beads to green beads was 3:5. How many red and blue beads were in the box at first.\r<BR>\n" );
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document.write( "thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #736681 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=736681\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "A careful reading of the problem shows that we can consider the number of blue and red beads as a single number.  So then<br><BR>\n" );
document.write( "let g = # of green beads<BR>\n" );
document.write( "then 522-g = # of blue and red beads<br><BR>\n" );
document.write( "After the changes to the number of beads,<BR>\n" );
document.write( "the # of green beads is 3g<BR>\n" );
document.write( "the # of blue and red beads is (522-g)-66+104 = 560-g<br><BR>\n" );
document.write( "At that time, the ratio of red and blue beads to green beads was 3:5<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28560-g%29%2F3g+=+3%2F5 ALIGN=MIDDLE  ALT=\"%28560-g%29%2F3g+=+3%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9g+=+2800-5g ALIGN=MIDDLE  ALT=\"9g+=+2800-5g\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14g+=+2800 ALIGN=MIDDLE  ALT=\"14g+=+2800\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g+=+200 ALIGN=MIDDLE  ALT=\"g+=+200\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The original number of green beads was 200, so the original number of red and blue beads was 522-200 = 322. </SPAN>\n" );
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