document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1058466>Question 1058466</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Kylie was buying pies at the store for her co-workers on Thanksgiving. She needs a total of 12 pies. The store sells pumpkin pies for $4 a pie and apple pies for $2 a pie. If Kylie ended up spending $30 on pies alone, how many of each pie did she purchased?\r<BR>\n" );
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document.write( "1. Write and solve a systems of equations representing this situation. <BR>\n" );
document.write( "2. If Kylie wanted to add two pecan pies to her order for $1 each and maintain the same total cost, how much of each pie does she end up getting?\r<BR>\n" );
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document.write( "Checking my answer for this, I created it myself. Could you show the steps in solving this? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #673580 by </B><A HREF=/tutors/aboutme.mpl?userid=solve_for_x><B>solve_for_x(190)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solve_for_x><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=673580\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x represent the number of pumpkin pies that Kylie buys, and let y represent the number of apple pies.\r<BR>\n" );
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document.write( "The total number of pies purchased is x + y = 12\r<BR>\n" );
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document.write( "The total cost is 4x + 2y = 30\r<BR>\n" );
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document.write( "Solving the the first equation for y gives:\r<BR>\n" );
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document.write( "y = 12 - x\r<BR>\n" );
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document.write( "Substituting \"12 - x\" in place of y in the equation 4x + 2y = 30 gives:\r<BR>\n" );
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document.write( "4x + 2(12 - x) = 30\r<BR>\n" );
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document.write( "4x + 24 - 2x = 30\r<BR>\n" );
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document.write( "2x + 24 = 30\r<BR>\n" );
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document.write( "2x = 6\r<BR>\n" );
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document.write( "x = 3\r<BR>\n" );
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document.write( "Thus, she has purchased 3 pumpkin pies, and 12 - 3 = 9 apple pies.\r<BR>\n" );
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document.write( "If Kylie wishes to purchase two pecan pies at a cost of $1 each, that would add $2 <BR>\n" );
document.write( "to the total cost. Since Kylie wants to keep the same total price, the quantity of <BR>\n" );
document.write( "pumpkin and apple pies must be reduced by $2. The only way to do this is to <BR>\n" );
document.write( "remove one apple pie from the original order.\r<BR>\n" );
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document.write( "The new order would be 3 pumpkin pies, 8 apple pies, and 2 pecan pies. </SPAN>\n" );
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