document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=548124>Question 548124</A>: <I><SPAN STYLE=\"word-break: break-all;\"> During a one-month promotional campaign. Video village gave either a free video rental or a 12-serving box of microwave popcorn to new members. It cost the store $1 for each free rental and $2 for each box of popcorn. In all, 48 new members signed up and the store's cost for the incentives was $86. How many of each incentive were given away? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #356721 by </B><A HREF=/tutors/aboutme.mpl?userid=Maths68><B>Maths68(1474)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Maths68><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=Maths68><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=356721\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let<BR>\n" );
document.write( "Free Rental given = f<BR>\n" );
document.write( "Box of popcorn given = p<BR>\n" );
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document.write( "Cost of Free Rental = $1<BR>\n" );
document.write( "Cost of Box of popcorn = $2<BR>\n" );
document.write( "Total Cost of incentive = $86<BR>\n" );
document.write( "Total incentives given = 48\r<BR>\n" );
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document.write( "Free Rental given+Box of popcorn given = Total incentives given<BR>\n" );
document.write( "f+p=48<BR>\n" );
document.write( "f=48-p...........(1)\r<BR>\n" );
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document.write( "(Free Rental given)*(Cost of Free Rental)+(Box of popcorn given)*(Cost of Box of popcorn)= Total Cost of incentive<BR>\n" );
document.write( "f*1+p*2=86<BR>\n" );
document.write( "f+2p=86............(2)\r<BR>\n" );
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document.write( "Put the value of f in (2) from (1)<BR>\n" );
document.write( "f+2p=86............(2)<BR>\n" );
document.write( "48-p+2p=86<BR>\n" );
document.write( "48+p=86<BR>\n" );
document.write( "p=86-48<BR>\n" );
document.write( "p=38<BR>\n" );
document.write( "Put the value of p in (1)<BR>\n" );
document.write( "f=48-p...........(1)<BR>\n" );
document.write( "f=48-38<BR>\n" );
document.write( "f=10\r<BR>\n" );
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document.write( "Free Rental given = f = 10<BR>\n" );
document.write( "Box of popcorn given = p = 38 <BR>\n" );
document.write( " </SPAN>\n" );
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