document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=193138>Question 193138</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A nut wholesaler sells a mix of peanuts and cashews. The wholesaler charges $2.80 per pound for peanuts and $5.30 per pound for cashews. The mix is to sell for $3.30 per pound. How many pounds of peanuts and how many pounds of cashews should be used to make 100 pounds of the mix? \r<BR>\n" );
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document.write( "An adult pass for a country fair costs $2 more than a children’s pass. When 378 adult and 214 children’s passes were sold, the total revenue was $2384. Find the cost of an adult pass </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #144978 by </B><A HREF=/tutors/aboutme.mpl?userid=jonvaliente><B>jonvaliente(64)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jonvaliente><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=jonvaliente><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=144978\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Problem #1: Nuts!<BR>\n" );
document.write( "Let p=no of pounds of peanuts<BR>\n" );
document.write( "    c=no of pounds of cashews\r<BR>\n" );
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document.write( "To sell for $3.30 per pound for a 100-pound mix. The total value of the mix should be $3.30 x 100 = $330, so from here we get:<BR>\n" );
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document.write( "2.80*p + 5.30*c = 330     (1)<BR>\n" );
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document.write( "We also know that the total mix is 100 pounds, so:<BR>\n" );
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document.write( "p + c = 100               (2)<BR>\n" );
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document.write( "Let's express p in terms of c, so:<BR>\n" );
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document.write( "p = 100 - c<BR>\n" );
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document.write( "Substitute this value in (1):<BR>\n" );
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document.write( "2.80*(100-c) + 5.30*c = 330<BR>\n" );
document.write( "280 - 2.80c + 5.30c = 330<BR>\n" );
document.write( "280 + 2.50c = 330<BR>\n" );
document.write( "2.50c = 330 - 280<BR>\n" );
document.write( "2.50c= 50<BR>\n" );
document.write( "c = 50/2.50<BR>\n" );
document.write( "c=20<BR>\n" );
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document.write( "So we need 20 pounds of cashew nuts and 100-c=100-20=80 pounds of peanuts!<BR>\n" );
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document.write( "Problem #2: Country Fair<BR>\n" );
document.write( "Let x = cost of a children's pass<BR>\n" );
document.write( ". x+2 = cost of an adult pass (\"An adult pass...costs $2 more than a children's pass)<BR>\n" );
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document.write( "So:<BR>\n" );
document.write( "378*(x+2)+214*x = 2384<BR>\n" );
document.write( "378x + 756 + 214x = 2384<BR>\n" );
document.write( "592x + 756 = 2384<BR>\n" );
document.write( "592x=2384-756<BR>\n" );
document.write( "592x=1628<BR>\n" );
document.write( "x = 1628/592<BR>\n" );
document.write( "x=2.75<BR>\n" );
document.write( "So if a children's pass costs $2.75, then an adult pass=x+2=2.75+2=$4.75 </SPAN>\n" );
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