document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1017220>Question 1017220</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A snack mix is made from peanuts that cost $3.10 per pound and caramel popcorn that cost $2.30 per pound. The mixture costs $2.80 per pound. Does the mixture contain more peanuts or more popcorn?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #633562 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=633562\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> i would say more peanuts than caramel popcorn.\r<BR>\n" );
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document.write( "here's why:\r<BR>\n" );
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document.write( "let c = number of pounds of caramel popcorn<BR>\n" );
document.write( "let p = number of pounds of peanuts\r<BR>\n" );
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document.write( "peanuts costs 3.10 per pound.<BR>\n" );
document.write( "total cost of peanuts is therefore 3.10 * p\r<BR>\n" );
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document.write( "caramel popcorn costs 2.30 per pound.<BR>\n" );
document.write( "total cost of caramel popcorn is therefore 2.30 * c\r<BR>\n" );
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document.write( "your formula is 3.10 * p + 2.30 * c = 2.80 * (p + c)\r<BR>\n" );
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document.write( "simplify by distributing the multiplication on the right side of the equation to get 3.10 * p + 2.30 * c = 2.80 * p + 2.80 * c\r<BR>\n" );
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document.write( "subtract 2.80 * p from both sides of the equation and subtract 2.30 * c from both sides of the equation to get 3.10 * p - 2.80 * p = 2.80 * c - 2.30 * c\r<BR>\n" );
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document.write( "simplify to get .30 * p = .50 * c\r<BR>\n" );
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document.write( "divide both sides of the equation by .30 to get p = (.50 / .30) * c = 5/3 * c.\r<BR>\n" );
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document.write( "this means that p > c\r<BR>\n" );
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document.write( "let's see if that's true.\r<BR>\n" );
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document.write( "assume c = 3 pounds.\r<BR>\n" );
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document.write( "this makes p = 5/3 * 3 = 5 pounds.\r<BR>\n" );
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document.write( "original formula says:\r<BR>\n" );
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document.write( "3.10 * p + 2.30 * c = 2.80 * (p + c)\r<BR>\n" );
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document.write( "since p = 5 and c = 3, this formula becomes:\r<BR>\n" );
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document.write( "3.10 * 5 + 2.30 * 3 = 2.80 * 8\r<BR>\n" );
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document.write( "solve to get:\r<BR>\n" );
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document.write( "22.4 = 22.4\r<BR>\n" );
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document.write( "solution looks good.\r<BR>\n" );
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document.write( "the mixture contains more peanuts than caramel popcorn.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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