document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=82217>Question 82217</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There are two groups of birds, one bird ask one group \"how many members are you in a group?\" they replied  \"our number is half of the other group and the total number of members in two group plus you is 100.<BR>\n" );
document.write( "question:<BR>\n" );
document.write( "1. how many birds are there in one group?<BR>\n" );
document.write( "2. how many birds are there in onother group?<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 #60670 by </B><A HREF=/tutors/aboutme.mpl?userid=vertciel><B>vertciel(183)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=vertciel><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=60670\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hello there,\r<BR>\n" );
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document.write( "I recategorised your question.\r<BR>\n" );
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document.write( "Let's call:\r<BR>\n" );
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document.write( "Bird Group #1 = x\r<BR>\n" );
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document.write( "Bird Group #2 = y\r<BR>\n" );
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document.write( "If Bird Group #2's number is half of the other group, that means y = 0.5x.\r<BR>\n" );
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document.write( "If the total number of members in two groups plus the asking bird is 100, this means x + y + 1 = 100\r<BR>\n" );
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document.write( "So we have the following equations which we must solve to find the amount of birds:\r<BR>\n" );
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document.write( "y = 0.5x ---------(1)<BR>\n" );
document.write( "x + y + 1 = 100 --(2)\r<BR>\n" );
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document.write( "Let's simplify (2): x + y = 99\r<BR>\n" );
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document.write( "Since we know y = 0.5x, we can substitute y into (2):\r<BR>\n" );
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document.write( "x + 0.5x = 99\r<BR>\n" );
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document.write( "0.5x = 99\r<BR>\n" );
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document.write( "x = 198 \r<BR>\n" );
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document.write( "Therefore, Group 1 has 198 birds and Group 2 has 0.5x birds which is 99 birds.\r<BR>\n" );
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