document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=115628>Question 115628</A>: <I><SPAN STYLE=\"word-break: break-all;\"> one week she bought 1 pound of cashews and 2 pounds of pecans and paid $2.40<BR>\n" );
document.write( "the next week she bought 4 pounds of almonds and one pound of cashews paying $3.60<BR>\n" );
document.write( "a week later she bought 3 pounds of walnuts 1 pound of cashews and 1 pound of almonds for $2.10<BR>\n" );
document.write( "how much would she have to pay on her next trip to the grocery store if she were to buy 1 pound of each 4 types of nuts? [hint: using the initial letter of the name oeach type of nut(i.e:c,p,a,and w)will ditinguish the unknown values in the equation that you form]  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #84382 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=84382\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let c = lbs of cashews<BR>\n" );
document.write( "Let p = lbs of pecans<BR>\n" );
document.write( "Let a = lbs of almonds<BR>\n" );
document.write( "Let w = lbs of walnuts<BR>\n" );
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document.write( "Write an equation for each statement:<BR>\n" );
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document.write( "\"she bought 1 pound of cashews and 2 pounds of pecans and paid $2.40\"<BR>\n" );
document.write( "1c + 2p = 2.40<BR>\n" );
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document.write( "\"she bought 4 pounds of almonds and one pound of cashews paying $3.60\"<BR>\n" );
document.write( "4a + 1c = 3.60<BR>\n" );
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document.write( "\"she bought 3 pounds of walnuts 1 pound of cashews and 1 pound of almonds for $2.10\"<BR>\n" );
document.write( "3w + 1c + 1a = 2.10<BR>\n" );
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document.write( "We have 3 equations with 4 unknowns, We have to make some assumptions:<BR>\n" );
document.write( "All values have to be less than $1.00 Also assuming we are dealing with integer cents.<BR>\n" );
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document.write( "In the first equation, Assume that c and p = .80<BR>\n" );
document.write( ".80 + 2(.80) = 2.40<BR>\n" );
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document.write( "Using c = .80 find a in the 2nd equation:<BR>\n" );
document.write( "4a + .80 = 3.60<BR>\n" );
document.write( "4a = 3.60 - .80<BR>\n" );
document.write( "4a = 2.80<BR>\n" );
document.write( "a = .70/lb for almonds<BR>\n" );
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document.write( "Using a = .70 and c = .80 find w:<BR>\n" );
document.write( "3w + .70 + .80 = 2.10<BR>\n" );
document.write( "3w = 2.10 - 1.50<BR>\n" );
document.write( "3w = .60<BR>\n" );
document.write( "w = .20/lb for walnuts<BR>\n" );
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document.write( "It seems to come out even, there may be other values that work.<BR>\n" );
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document.write( "how much would she have to pay on her next trip to the grocery store if she were to buy 1 pound of each 4 types of nuts?<BR>\n" );
document.write( ".20 + .70 + .80 + .80 = $2.50  </SPAN>\n" );
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