document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=324538>Question 324538</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The number of blues was 7 less than the sum or the whites and the greens. The number of greens was 1 greater than the sum of the blues and the whites. How many of each kind were there if there were three times as many greens as blues? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #232975 by </B><A HREF=/tutors/aboutme.mpl?userid=vidhyak><B>vidhyak(98)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=vidhyak><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=232975\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the 3 colors be w,g,b for white, green and blue \r<BR>\n" );
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document.write( "The number of blues was 7 less than the sum or the whites and the greens<BR>\n" );
document.write( "w + g -7 = b<BR>\n" );
document.write( "w + g - b = 7 ...... eq 1\r<BR>\n" );
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document.write( "The number of greens was 1 greater than the sum of the blues and the whites\r<BR>\n" );
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document.write( "g = 1 + b + w<BR>\n" );
document.write( "b + w -g = -1 .........eq 2\r<BR>\n" );
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document.write( "three times as many greens as blues<BR>\n" );
document.write( "3b = g ------eq 3\r<BR>\n" );
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document.write( "Substitute eq 3 in eq 1 <BR>\n" );
document.write( "w + g - b = 7<BR>\n" );
document.write( "w + 3b - b = 7<BR>\n" );
document.write( "w + 2b = 7 -------eq 4\r<BR>\n" );
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document.write( "Substitute eq 3 in eq 2<BR>\n" );
document.write( "b + w - g = -1 <BR>\n" );
document.write( "b + w - 3b = -1 <BR>\n" );
document.write( "w - 2b = -1 .........eq5\r<BR>\n" );
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document.write( "Add eq4 and eq 5 <BR>\n" );
document.write( "w + 2b = 7<BR>\n" );
document.write( "w - 2b = -1 \r<BR>\n" );
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document.write( "2w = 6<BR>\n" );
document.write( "w = 3\r<BR>\n" );
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document.write( "Substitute w = 3 in eq 4 to get the value of b<BR>\n" );
document.write( "w + 2b = 7<BR>\n" );
document.write( "3 + 2b = 7<BR>\n" );
document.write( "2b = 7-3 = 4<BR>\n" );
document.write( "b = 2\r<BR>\n" );
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document.write( "Substitute w = 3, b = 2 in eq 1 to get the value of g\r<BR>\n" );
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document.write( "w + g - b = 7<BR>\n" );
document.write( "3 + g - 2 = 7<BR>\n" );
document.write( "1 + g = 7<BR>\n" );
document.write( "g = 6\r<BR>\n" );
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document.write( "There are 3 whites, 2 blues and 6 greens\r<BR>\n" );
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document.write( " </SPAN>\n" );
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