document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=945992>Question 945992</A>: <I><SPAN STYLE=\"word-break: break-all;\"> twenty kilograms of nuts consisting of cashews worth $6.00 per kg, pecans worth $2.50 per kg, and peanuts worth $1.50 per kg are mixed. there are twice as many pecans as cashews, and there are as many kilograms of peanuts as pecans. the total value of nuts is $56. how many of each are there? must be solved algebraically using the 5 steps. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #577068 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=577068\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> twenty kilograms of nuts consisting of cashews worth $6.00 per kg, pecans worth $2.50 per kg, and peanuts worth $1.50 per kg are mixed. there are twice as many pecans as cashews, and there are as many kilograms of peanuts as pecans. the total value of nuts is $56. how many of each are there? must be solved algebraically using the 5 steps.<BR>\n" );
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document.write( "Equations:<BR>\n" );
document.write( "h + c + p = 20 kg<BR>\n" );
document.write( "6h+2.5c+1.5p = 56 dollars<BR>\n" );
document.write( "p = c<BR>\n" );
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document.write( "Modify::<BR>\n" );
document.write( "Substitute c for \"p\" to get:<BR>\n" );
document.write( "h + 2c = 20<BR>\n" );
document.write( "6h + 4c = 56<BR>\n" );
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document.write( "Modify::<BR>\n" );
document.write( "h + 2c = 20<BR>\n" );
document.write( "3h + 2c = 28<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "Subtract::<BR>\n" );
document.write( "2h = 8<BR>\n" );
document.write( "h = 4 kg (amt. of cashews needed)<BR>\n" );
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document.write( "4+ 2c = 20<BR>\n" );
document.write( "2c = 16<BR>\n" );
document.write( "c = 8 kg (amt. of picans needed)<BR>\n" );
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document.write( "Solve for \"p\"::<BR>\n" );
document.write( "h + c + p = 20 kg<BR>\n" );
document.write( "4 + 8 + p = 20<BR>\n" );
document.write( "p = 8 kg (amt. of peanuts needed)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "-------------\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );