document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1207745>Question 1207745</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A candy store sells boxes of candy containing caramels and cremes.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 cremes cost $0.45 to produce,how many of each should be in a box to make a profit of $3?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #845791 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=845791\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Here is a solution by an informal method that can be used to solve any 2-part \"mixture\" problem like this (if formal algebra is not required).<br><BR>\n" );
document.write( "To make a profit of $3 on each box if the selling price is $12.50, the cost of production needs to be $12.50-$3 = $9.50.<br><BR>\n" );
document.write( "The cost of producing 30 caramels would be 30($0.25) = $7.50; the cost of producing 30 cremes would be 30($0.45) = $13.50.<BR>\n" );
document.write( "Use mental arithmetic to see that $9.50 is 1/3 of the way from $7.50 to $13.50.<BR>\n" );
document.write( "That means 1/3 of the candies should be the more expensive cremes.<br><BR>\n" );
document.write( "1/3 of 30 is 10.<br><BR>\n" );
document.write( "ANSWER: 10 cremes and 20 caramels<br><BR>\n" );
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