document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1171551>Question 1171551</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Jacob and Kayla are selling cheesecake for a school fundraiser. Customers can buy pecan cheesecake. Jacob sold 2 pecan cheesecake and 4 apple cheesecake for a total of 96$. Kayla Sold 8 pecan cheesecake and 4 apple cheesecake for a total of 156$ . What is the cost each of one pecan cheesecake and one apple cheesecake?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #796447 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=796447\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The difference between the two sales is 6 additional pecan cheesecakes, for a cost difference of $60.  So each pecan cheesecake costs $60/6 = $10.<br><BR>\n" );
document.write( "Then using either of the sales and the $10 cost of each pecan cheesecake to determine the cost of each apple cheesecake.<br><BR>\n" );
document.write( "Algebraically....<br><BR>\n" );
document.write( "(1) 2p+4a = 96<BR>\n" );
document.write( "(2) 8p+4a = 156<br><BR>\n" );
document.write( "Subtract (1) from (2):<BR>\n" );
document.write( "6p = 60<BR>\n" );
document.write( "p=60/6=10<br><BR>\n" );
document.write( "Substitute p=10 in either (1) or (2):<BR>\n" );
document.write( "20+4a = 96<BR>\n" );
document.write( "4a = 76<BR>\n" );
document.write( "a = 76/4 = 19<br><BR>\n" );
document.write( "ANSWERS: $10 for each pecan cheesecake; $19 for each apple cheesecake<br><BR>\n" );
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