document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=408325>Question 408325</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You want to fill nine 1-lb tins with a holiday snack mix. You want the mix to contain the three following items: dried apple pieces which cost $2.45 per pound., pecans which cost $1.85 per pound, and dried cherry pieces which cost $0.80 per pound. You must spend $15 and want the mix to contain half as many pounds of cherry pieces as dried apple slices and pecans combined. How many pounds of pecans should you buy?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #287857 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=287857\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You want to fill nine 1-lb tins with a holiday snack mix.<BR>\n" );
document.write( " You want the mix to contain the three following items:<BR>\n" );
document.write( "dried apple pieces which cost $2.45 per pound.,<BR>\n" );
document.write( " pecans which cost $1.85 per pound,<BR>\n" );
document.write( " and dried cherry pieces which cost $0.80 per pound.<BR>\n" );
document.write( " You must spend $15 and want the mix to contain half as many pounds of cherry<BR>\n" );
document.write( " pieces as dried apple slices and pecans combined.<BR>\n" );
document.write( " How many pounds of pecans should you buy?<BR>\n" );
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document.write( "Let p = lbs of pecans required<BR>\n" );
document.write( "Let a = lbs of apples<BR>\n" );
document.write( "Let c = lbs of cherrys<BR>\n" );
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document.write( "a + p + c = 9<BR>\n" );
document.write( ":<BR>\n" );
document.write( "2.45a + 1.85p + .80c = 15<BR>\n" );
document.write( ":<BR>\n" );
document.write( "\"the mix to contain half as many pounds of cherry pieces as dried apple slices and pecans combined.<BR>\n" );
document.write( ".5c = a + p<BR>\n" );
document.write( "Rearrange as<BR>\n" );
document.write( "a + p -.5c = 0<BR>\n" );
document.write( "Subtract from the 1st equation<BR>\n" );
document.write( "a + p + c = 9<BR>\n" );
document.write( "a + p -.5c = 0<BR>\n" );
document.write( "-----------------subtracting eliminates a & p, find c<BR>\n" );
document.write( "1.5c = 9<BR>\n" );
document.write( "c = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2F1.5 ALIGN=MIDDLE  ALT=\"9%2F1.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "c = 6 lb of cherries<BR>\n" );
document.write( "then<BR>\n" );
document.write( "a + p = .5(6)<BR>\n" );
document.write( "a + p = 3 <BR>\n" );
document.write( "a = (3-p)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "In the cost equation: replace a with (3-p), replace c with 6, find p<BR>\n" );
document.write( "2.45(3-p) + 1.85p + .80(6) = 15<BR>\n" );
document.write( "7.35 - 2.45p + 1.85p + 4.80 = 15<BR>\n" );
document.write( "-2.45p + 1.85p + 12.15 = 15<BR>\n" );
document.write( "-.60p = 15 - 12.15<BR>\n" );
document.write( "-.6p = 2.85<BR>\n" );
document.write( "p = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.85%2F%28-.6%29 ALIGN=MIDDLE  ALT=\"2.85%2F%28-.6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "p = -4.75, a negative means this problem has a major flaw in it. Can't be done with these values|\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
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