document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1157244>Question 1157244</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Problem: Alicia is fundraising for her soccer team by selling popcorn and cookies. She manages to sell 12 tins of popcorn and 21 tubs of cookies for a total of $320.55 on her first day of sales.  The second day she ends up selling more. She sells 15 tins of popcorn and 32 tubs of cookies for a total of $447.55. What was the individual cost of each tin of popcorn and tub of cookies?\r<BR>\n" );
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document.write( "1)List the variables you will use and what they stand for.  Then use those variables to create two equations which represent the problem above.\r<BR>\n" );
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document.write( "2)Solve the system of equations you created in #1 using either the elimination or substitution method. Your answers should be expressed in decimal format with correct units.<BR>\n" );
document.write( "Hint: You should end up with both values of your variables.\r<BR>\n" );
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document.write( "3)Check your answers by plugging the answers for BOTH variables back into BOTH equations.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #780080 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=780080\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Alicia manages to sell 12 tins of popcorn and 21 tubs of cookies for a total of $320.55\r<BR>\n" );
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document.write( "Let price of individual tin of popcorn be $x number =12<BR>\n" );
document.write( "and price of 21 tubs of cookies be $y. number = 21\r<BR>\n" );
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document.write( "first day of sales<BR>\n" );
document.write( "Revenue = $320.55<BR>\n" );
document.write( "Equation<BR>\n" );
document.write( "12x+21y= 320.55------------(1)\r<BR>\n" );
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document.write( "The second day <BR>\n" );
document.write( "15 tins of popcorn<BR>\n" );
document.write( "and 32 tubs of cookies <BR>\n" );
document.write( " total of $447.55\r<BR>\n" );
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document.write( "15x+32y=`447.55-------------(2)\r<BR>\n" );
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document.write( "Solve (1) & (2)\r<BR>\n" );
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document.write( "12.00	x	+	21.00	y	=	320.55<BR>\n" );
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document.write( "15.00	x	+	32.00	y	=	447.55<BR>\n" );
document.write( "Eliminate 	y					<BR>\n" );
document.write( "multiply (1)by		-32.00				<BR>\n" );
document.write( "Multiply (2) by		21.00				<BR>\n" );
document.write( "-384.00	x		-672.00	y	=	-10257.60<BR>\n" );
document.write( "315.00	x		672.00	y	=	9398.55<BR>\n" );
document.write( "Add the two equations						<BR>\n" );
document.write( "-69.00	x				=	-859.05<BR>\n" );
document.write( "/	-69.00					<BR>\n" );
document.write( "x	=	12.45				<BR>\n" );
document.write( "plug value of			x	in (1)		<BR>\n" );
document.write( "12.00	x	+	21.00	y	=	320.55<BR>\n" );
document.write( "149.40		+	21.00	y	=	320.55<BR>\n" );
document.write( "			21.00	y	=	171.15<BR>\n" );
document.write( "				y	=	8.15<BR>\n" );
document.write( "Ans	x	=	$12.45	individual tin of popcorn		<BR>\n" );
document.write( "	y	=	$8.15	21 tubs of cookies 	\r<BR>\n" );
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document.write( "CHECK<BR>\n" );
document.write( "15*12.45 +8.15*32=447.55<BR>\n" );
document.write( "you check other	\r<BR>\n" );
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document.write( " x </SPAN>\n" );
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