document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=220201>Question 220201</A>: <I><SPAN STYLE=\"word-break: break-all;\">  A bag of peanuts is worth 30 cents less than a bag of cashews. Equal amounts of peanuts and cashews are mixed to make 40 bags of a mixture that sells for $1.05 per bag. How much would a bag of cashews be worth?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #165400 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=165400\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "We'll deal in pennies, OK?<BR>\n" );
document.write( "Let x=value of a bag of Cashews<BR>\n" );
document.write( "Then x-30=value of a bag of peanuts\r<BR>\n" );
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document.write( "We know that the value of the cashews(20*x) and peanuts(20(x-30)) before they are mixed together has to equal the value of the final mixture(40*105), so our equation to solve is:\r<BR>\n" );
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document.write( "20x+20(x-30)=40*105 get rid of parens<BR>\n" );
document.write( "20x+20x-600=4200 add 600 to each side<BR>\n" );
document.write( "20x+20x-600+600=4200+600 collect like terms<BR>\n" );
document.write( "40x=4800  divide each side by 40<BR>\n" );
document.write( "x=120  or $1.20 value of a bag of cashews\r<BR>\n" );
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document.write( "CK<BR>\n" );
document.write( "20(120)+20(90)=40*105<BR>\n" );
document.write( "2400+1800=4200<BR>\n" );
document.write( "4200=4200\r<BR>\n" );
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document.write( "Hope this helps---ptaylor </SPAN>\n" );
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