document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=66883>Question 66883</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A candy store sells boxes of candy containing caramels and chocolates. Each box sells for $12.50 and holds 30 pieces of candy (all pieces are the same size). If the caramels cost $0.25 to produce and the chocolates cost $0.45 to produce, how many of each should be in a box to make a profit of $3.00? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #47541 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=47541\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Let x= number of caramels in the box<BR>\n" );
document.write( "And 30-x=number of chocolates in the box\r<BR>\n" );
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document.write( "Now we are told that the cost of the caramels ($0.25x) plus the cost of the chocolates ($0.45(30-x)) must equal $12.50-$3.00=$9.50 in order to give us a profit of $3.00.  So that gives us:\r<BR>\n" );
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document.write( "$0.25x+$0.45(30-x)=$9.50  multiplying out\r<BR>\n" );
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document.write( "$0.25x+$13.5-$0.45x=$9.50  subtract $13.50 from both sides<BR>\n" );
document.write( "$0.25x+$13.50-$13.50-$0.45x=$9.50-$13.50  collecting like terms\r<BR>\n" );
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document.write( "-$0.20x=-$4\r<BR>\n" );
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document.write( "x=20-------------number of caramels in the box\r<BR>\n" );
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document.write( "30-x=30-20=10--------------number of chocolates in the box\r<BR>\n" );
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document.write( "CK\r<BR>\n" );
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document.write( "$0.25(20)+$0.45(10)=$12.50-$3.00<BR>\n" );
document.write( "$5+$4.50=$9.50<BR>\n" );
document.write( "$9.50=$9.50\r<BR>\n" );
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document.write( "Hope this helps-----ptaylor\r<BR>\n" );
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