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 #810245 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=810245\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Adam has some brown and green buttons in a box.<BR>\n" );
document.write( "let b = no. of brown buttons<BR>\n" );
document.write( "let g = no. of green<BR>\n" );
document.write( " If he were to remove some brown buttons, the ratio of brown to green buttons would then be 3:2.<BR>\n" );
document.write( "let x = no. brown buttons removed<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28b-x%29%2Fg ALIGN=MIDDLE  ALT=\"%28b-x%29%2Fg\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F2 ALIGN=MIDDLE  ALT=\"3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "cross multiply<BR>\n" );
document.write( "3g = 2(b-x) <BR>\n" );
document.write( "3g = 2b - 2x<BR>\n" );
document.write( " If he were to remove the same number of green buttons, the ratio of brown to green buttons would then be 14:1.<BR>\n" );
document.write( "let x = no. of green buttons removed<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%2F%28g-x%29 ALIGN=MIDDLE  ALT=\"b%2F%28g-x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14%2F1 ALIGN=MIDDLE  ALT=\"14%2F1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "cross multiply<BR>\n" );
document.write( "b = 14(g-x) <BR>\n" );
document.write( "b = 14g - 14x<BR>\n" );
document.write( "in the first simplified equation replace b with (14g-14x)<BR>\n" );
document.write( "3g = 2(14g-14x) - 2x<BR>\n" );
document.write( "3g = 28g - 28x - 2x<BR>\n" );
document.write( "3g - 28g = -30x<BR>\n" );
document.write( "-25g = -30x<BR>\n" );
document.write( "divide by -5<BR>\n" );
document.write( "5g = 6x<BR>\n" );
document.write( "g = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F5 ALIGN=MIDDLE  ALT=\"6%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >x<BR>\n" );
document.write( "g = 1.2x<BR>\n" );
document.write( "try to get b in terms of x also, replace g with (1.2x)<BR>\n" );
document.write( "b = 14(1.2x) + 14x<BR>\n" );
document.write( "b = 16.8x - 14x<BR>\n" );
document.write( "b = 2.8x<BR>\n" );
document.write( " Find the ratio of brown buttons to green buttons in the box.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%2Fg ALIGN=MIDDLE  ALT=\"b%2Fg\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282.8x%29%2F%281.2x%29 ALIGN=MIDDLE  ALT=\"%282.8x%29%2F%281.2x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Cancel x<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.8%2F1.2 ALIGN=MIDDLE  ALT=\"2.8%2F1.2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "divide by .4<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F3 ALIGN=MIDDLE  ALT=\"7%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the ratio\r<BR>\n" );
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