document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=64191>Question 64191</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A movie theater sells two different size boxes of popcorn.  The large box costs $3 and the small box costs $2.  In one day, the theater sold 657 boxes of popcorn for a total of $1612.  How many of each size were sold?  (Use a four-column table.) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #44837 by </B><A HREF=/tutors/aboutme.mpl?userid=burkus><B>burkus(4)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=burkus><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=44837\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> LARGE = 3.00<BR>\n" );
document.write( "small = 2.00<BR>\n" );
document.write( "657 boxes on day<BR>\n" );
document.write( "1612 total on day<BR>\n" );
document.write( "Let L be the number of boxes of LARGE<BR>\n" );
document.write( "Let s be the number of boxes of small<BR>\n" );
document.write( "L + s = 657<BR>\n" );
document.write( "L * 3.00 + s * 2.00 = 1612.00<BR>\n" );
document.write( "two equations and two unknowns\r<BR>\n" );
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document.write( "Let's subsitute for L using s, from the L + s = 657 equation.<BR>\n" );
document.write( "L + s = 657<BR>\n" );
document.write( "    L = 657 - s\r<BR>\n" );
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document.write( "and plugin to the second equation, gives\r<BR>\n" );
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document.write( "( 657 - s ) * 3.00 + s * 2.00 = 1612.00\r<BR>\n" );
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document.write( "1971 - s * 3.00 + s * 2.00 = 1612.00\r<BR>\n" );
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document.write( "subtract 1971 from both sides\r<BR>\n" );
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document.write( "-s * 3.00 + s * 2.00 = 1612 - 1971<BR>\n" );
document.write( "-3 s + 2 s = 1612 - 1971<BR>\n" );
document.write( "-1 s = 1612 - 1971<BR>\n" );
document.write( "-s = -359<BR>\n" );
document.write( "or s = 359.\r<BR>\n" );
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document.write( "Plug this new found value for s back into the original equation, <BR>\n" );
document.write( "and get L\r<BR>\n" );
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document.write( "L + s = 657<BR>\n" );
document.write( "L + 359 = 657<BR>\n" );
document.write( "L = 657 - 359<BR>\n" );
document.write( "L = 298\r<BR>\n" );
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document.write( "So, in answer to how many of each boxes were sold on that day,<BR>\n" );
document.write( "298 Large and 359 small boxes were sold.<BR>\n" );
document.write( " </SPAN>\n" );
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