document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1180523>Question 1180523</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Adam has some brown and green buttons in a box. If he were to remove some brown buttons, the ratio of brown to green buttons would then be 3 : 2. If he were to remove the same number of green buttons, the ratio of brown to green buttons would then be 14 : 1. Find the ratio of brown buttons to green buttons in the box.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #810240 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=810240\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "b = # of brown buttons<BR>\n" );
document.write( "g = # of green buttons<BR>\n" );
document.write( "x = # of buttons removed<br><BR>\n" );
document.write( "Removing x brown buttons makes the ratio of brown to green 3:2.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28b-x%29%2Fg=3%2F2 ALIGN=MIDDLE  ALT=\"%28b-x%29%2Fg=3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >  [1]<br><BR>\n" );
document.write( "Removing x green buttons makes the ratio of brown to green 14:1.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%2F%28g-x%29=14%2F1 ALIGN=MIDDLE  ALT=\"b%2F%28g-x%29=14%2F1\"   DISABLED_style= \"max-width:90%; height:auto;\" >  [2]<br><BR>\n" );
document.write( "\"Cross multiply\" in both equations<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3g=2%28b-x%29 ALIGN=MIDDLE  ALT=\"3g=2%28b-x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=14%28g-x%29 ALIGN=MIDDLE  ALT=\"b=14%28g-x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Substitute<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3g=2%2814%28g-x%29-x%29=28g-28x-2x=28g-30x ALIGN=MIDDLE  ALT=\"3g=2%2814%28g-x%29-x%29=28g-28x-2x=28g-30x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30x=25g ALIGN=MIDDLE  ALT=\"30x=25g\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%285%2F6%29g ALIGN=MIDDLE  ALT=\"x=%285%2F6%29g\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=14%28g-x%29=14%28%281%2F6%29g%29+=+%287%2F3%29g ALIGN=MIDDLE  ALT=\"b=14%28g-x%29=14%28%281%2F6%29g%29+=+%287%2F3%29g\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%2Fg=7%2F3 ALIGN=MIDDLE  ALT=\"b%2Fg=7%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "ANSWER: The ratio of brown buttons to green buttons is 7:3<br><BR>\n" );
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