document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1186116>Question 1186116</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 16 lbs of Brand M Cinnamon costing $17/lb. was made by combining Indonesian cinnamon<BR>\n" );
document.write( " which costs $19/lbs with Thai cinnamon which costs $11/lb. Find out how much of each type<BR>\n" );
document.write( " of cinnamon was used to make the Brand M blend. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #817044 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=817044\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let x = number of pounds of indonesian cinnamon.<BR>\n" );
document.write( "let y = number of pounds of thai cinnamon.<BR>\n" );
document.write( "let x + y = number of pounds of brand M cinnamon.\r<BR>\n" );
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document.write( "your equations are:\r<BR>\n" );
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document.write( "x + y = 16<BR>\n" );
document.write( "19 * x + 11 * y = 17 * (x + y)\r<BR>\n" );
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document.write( "simplify the second equation to get:<BR>\n" );
document.write( "19 * x + 11 * y = 17 * x + 17 * y<BR>\n" );
document.write( "subtract the right side of the equation from both sides of the equation to get:<BR>\n" );
document.write( "19 * x - 17 * y + 11 * y - 17 * y = 0<BR>\n" );
document.write( "combine like terms to get:<BR>\n" );
document.write( "2 * x - 6 * y = 0\r<BR>\n" );
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document.write( "your two equations become:\r<BR>\n" );
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document.write( "x + y = 16<BR>\n" );
document.write( "2 * x - 6 * y = 0\r<BR>\n" );
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document.write( "multiply both sides of the first equation by 2 and leave the second equation as is to get:\r<BR>\n" );
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document.write( "2x + 2y = 32<BR>\n" );
document.write( "2x - 6y = 0\r<BR>\n" );
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document.write( "subtract the second equation from the first to get:\r<BR>\n" );
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document.write( "8y = 32\r<BR>\n" );
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document.write( "solve for y to get:\r<BR>\n" );
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document.write( "y = 32/8 = 4\r<BR>\n" );
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document.write( "in the first equation, replace y with 4 to get:\r<BR>\n" );
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document.write( "x + y = 16 becomes x + 4 = 16<BR>\n" );
document.write( "solve for x to get:<BR>\n" );
document.write( "x = 16 - 4 = 12\r<BR>\n" );
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document.write( "you have:\r<BR>\n" );
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document.write( "x = 12<BR>\n" );
document.write( "y = 4\r<BR>\n" );
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document.write( "first equation of x + y = 16 becomes 12 + 4 = 16 which becomes 16 = 16.\r<BR>\n" );
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document.write( "second equation of 19x + 11y = 17(x + y) becomes:\r<BR>\n" );
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document.write( "19*12 = 11*4 = 17 * 16 which becomes 272 = 272.\r<BR>\n" );
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document.write( "the values of x = 12 and y = 4 appear to be good.\r<BR>\n" );
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document.write( "you take 12 pounds of indonesiann cinnamon, which is 19 dollars a pound, and mix it with 4 pounds of thai cinnamon, which is 11 dollars a pound, you will get 16 pounds of brand M cinnamon which costs (19 * 12 + 11 * 4) / 16 = 17 dollars a pound.\r<BR>\n" );
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document.write( "your solution is that you used 12 pounds of indonesian cinnamon and 4 pounds of thai cinnamon.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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