document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1190211>Question 1190211</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A boy scout troop is selling popcorn. There are three different kinds of popcorn in three different arrangements. Arrangement I contains 1 bag of cheddar cheese popcorn, 2 bags of caramel popcorn, and 3 bags of microwave popcorn. Arrangement II contains 3 bags of cheddar cheese popcorn, 1 bag of caramel popcorn, and 2 bags of microwave popcorn. Arrangement III contains 2 bags of cheddar cheese popcorn, 3 bags of caramel popcorn, and 1 bag of microwave popcorn. Jim needs 28 bags of cheddar cheese popcorn, 22 bags of caramel popcorn, and 22 bags of microwave popcorn to give as stocking stuffers for Christmas. How many of each arrangement should he buy? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #821811 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52782)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=821811\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( " A boy scout troop is selling popcorn. There are three different kinds of popcorn in three different arrangements. <BR>\n" );
document.write( "Arrangement I contains 1 bag of cheddar cheese popcorn, 2 bags of caramel popcorn, and 3 bags of microwave popcorn. <BR>\n" );
document.write( "Arrangement II contains 3 bags of cheddar cheese popcorn, 1 bag of caramel popcorn, and 2 bags of microwave popcorn. <BR>\n" );
document.write( "Arrangement III contains 2 bags of cheddar cheese popcorn, 3 bags of caramel popcorn, and 1 bag of microwave popcorn. <BR>\n" );
document.write( "Jim needs 28 bags of cheddar cheese popcorn, 22 bags of caramel popcorn, and 22 bags of microwave popcorn to give <BR>\n" );
document.write( "as stocking stuffers for Christmas. How many of each arrangement should he buy?<BR>\n" );
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document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "Let x be the # of arrangements I;\r\n" );
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document.write( "    y be the # of arrangements II;\r\n" );
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document.write( "    z be the # of arrangements III.\r\n" );
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document.write( "Write the system of equations as you read the problem\r\n" );
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document.write( "     x + 3y + 2z = 28     (bags of cheddar cheese popcorn)\r\n" );
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document.write( "    2x +  y + 3z = 22     (bags of caramel popcorn)\r\n" );
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document.write( "    3x + 2y +  z = 22.    (bags of microwave popcorn)\r\n" );
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document.write( "Use your pocket calculator. Solve the system by any method and get the ANSWER:\r\n" );
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document.write( "    2 Arrangements I;  6 Arrangements II  and  4 Arrangements III.\r\n" );
document.write( "</PRE>\r<BR>\n" );
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document.write( "Solved.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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