document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=148918>Question 148918</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For Monday mornings staff meeting, Jim bought 2 bags of bagels and 3 packages of cream cheese and paid $9.75 (excluding sales tax).  For Fridays meeting, he bought 4 bags of bagels and 2 packages of cream cheese and paid $12.50 (again, excluding sales tax).  How much do bags of bagels and packages of cream cheese cost?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #109235 by </B><A HREF=/tutors/aboutme.mpl?userid=mangopeeler07><B>mangopeeler07(462)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mangopeeler07><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=109235\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x=cost of bagels (in cents)<BR>\n" );
document.write( "y=cost of cream cheese (in cents)<BR>\n" );
document.write( "coefficient=quantity\r<BR>\n" );
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document.write( "Jim bought 2 bags of bagels and 3 packages of cream cheese and paid $9.75:<BR>\n" );
document.write( "2x+3y=975\r<BR>\n" );
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document.write( "He bought 4 bags of bagels and 2 packages of cream cheese and paid $12.50:<BR>\n" );
document.write( "4x+2y=1250\r<BR>\n" );
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document.write( "So you have two equations:<BR>\n" );
document.write( "2x+3y=975<BR>\n" );
document.write( "4x+2y=1250\r<BR>\n" );
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document.write( "Multiply the first equation by negative two:<BR>\n" );
document.write( "-4x-6y=-1950<BR>\n" );
document.write( "4x+2y=1250\r<BR>\n" );
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document.write( "Add the equations<BR>\n" );
document.write( "-4y=-700\r<BR>\n" );
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document.write( "You have successfully eliminated x from the equation (for now).\r<BR>\n" );
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document.write( "Divide by -4<BR>\n" );
document.write( "y=175\r<BR>\n" );
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document.write( "That is the cost of the cream cheese in cents.  Plug that back into either original equation, how about the first one:<BR>\n" );
document.write( "2x+3(175)=975\r<BR>\n" );
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document.write( "Simplify<BR>\n" );
document.write( "2x+525=975\r<BR>\n" );
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document.write( "Subtract 525 from both sides<BR>\n" );
document.write( "2x=450\r<BR>\n" );
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document.write( "Divide by 2<BR>\n" );
document.write( "x=225\r<BR>\n" );
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document.write( "That is the cost of the bagels in cents.<BR>\n" );
document.write( "So,\r<BR>\n" );
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document.write( "1 Package of Cream cheese=$1.75<BR>\n" );
document.write( "1 Bag of Bagels=$2.25 </SPAN>\n" );
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