document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1117739>Question 1117739</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Chocolate costing $10 per pound is mixed with nuts costing $4 per pound to make a mixture costing $6 per pound. What fraction of the mixture's weight is chocolate? Express your answer as a common fraction.\r<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 #732853 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=732853\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Asking for the fraction of the weight of the mixture that is chocolate makes it easy to solve the problem without algebra.<br><BR>\n" );
document.write( "The cost per pound of the mixture ($6) is 1/3 of the way from the cost per pound of the nuts ($4) to the cost per pound of the chocolate ($10); that means 1/3 of the mixture is chocolate.<br><BR>\n" );
document.write( "Because no weights are given in the statement of the problem, a solution using algebra is a bit awkward....<br><BR>\n" );
document.write( "Let the mixture be x pounds of chocolate and y pounds of nuts; then the number we are looking for is the weight of the chocolate divided by the total weight: x/(x+y).<br><BR>\n" );
document.write( "The x pounds of chocolate at $10 per pound and the y pounds of nuts at $4 per pound make (x+y) pounds of a mixture at $6 per pound:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10x%2B4y+=+6%28x%2By%29 ALIGN=MIDDLE  ALT=\"10x%2B4y+=+6%28x%2By%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10x%2B4y+=+6x%2B6y ALIGN=MIDDLE  ALT=\"10x%2B4y+=+6x%2B6y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x+=+2y ALIGN=MIDDLE  ALT=\"4x+=+2y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+2x ALIGN=MIDDLE  ALT=\"y+=+2x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "And the fraction of the mixture that is chocolate is<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F%28x%2By%29+=+x%2F%28x%2B2x%29+=+x%2F%283x%29+=+1%2F3 ALIGN=MIDDLE  ALT=\"x%2F%28x%2By%29+=+x%2F%28x%2B2x%29+=+x%2F%283x%29+=+1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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