document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=473392>Question 473392</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The total number of reds and blues was one greater than the number of greens. The sum of three times the number of reds and twice the number of blues exceeded the number of greens by nine. How many of each color were there if three times the number of blues exceeded the number of greens by two? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #324630 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=324630\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The total number of reds and blues was one greater than the number of greens.<BR>\n" );
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document.write( "The sum of three times the number of reds and twice the number of blues exceeded the number of greens by nine.<BR>\n" );
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document.write( "How many of each color were there if three times the number of blues exceeded the number of greens by two?<BR>\n" );
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document.write( "Equations:<BR>\n" );
document.write( "r + b = g + 1<BR>\n" );
document.write( "3r + 2b = g +9<BR>\n" );
document.write( "3b = g + 2<BR>\n" );
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document.write( "Rearrange:<BR>\n" );
document.write( "r  + b  - g  = 1<BR>\n" );
document.write( "3r +2b  - g  = 9<BR>\n" );
document.write( "0r + 3b - g  = 2<BR>\n" );
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document.write( "Solve by any method you know to get:<BR>\n" );
document.write( "r = 3<BR>\n" );
document.write( "b = 2<BR>\n" );
document.write( "g = 4<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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