document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=250801>Question 250801</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A mixture of 30 pounds of candy sells for $1.10 a pound. The mixture consists of chocolates worth $1.50 a pound and chocolates worth 90¢ a pound. How many pounds of the $1.50 chocolate were used to make the mixture?\r<BR>\n" );
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document.write( "A)15<BR>\n" );
document.write( "B)10<BR>\n" );
document.write( "C)12<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 #184565 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=184565\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> your equations are<BR>\n" );
document.write( "1.5*x + .9*y = 1.10*30<BR>\n" );
document.write( "x + y = 30<BR>\n" );
document.write( "solve for x in the second equation:<BR>\n" );
document.write( "x = 30-y<BR>\n" );
document.write( "substitute for x in the first equation:<BR>\n" );
document.write( "1.5*(30-y) + .9*y = 1.10*30<BR>\n" );
document.write( "simplify by removing parentheses:<BR>\n" );
document.write( "1.5*30 - 1.5*y + .9*y = 1.10*30<BR>\n" );
document.write( "subtract 1.5*30 from both sides of the equation:<BR>\n" );
document.write( "-.6*y = 1.10*30 - 1.5*30<BR>\n" );
document.write( "combine like terms:<BR>\n" );
document.write( "-.6*y = -.4*30<BR>\n" );
document.write( "solve for y:<BR>\n" );
document.write( "y = 20\r<BR>\n" );
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document.write( "confirm by substituting in original equation:<BR>\n" );
document.write( "x = 10<BR>\n" );
document.write( "y = 20<BR>\n" );
document.write( "1.5*10 + .9*20 = 1.10*30<BR>\n" );
document.write( "simplify:<BR>\n" );
document.write( "15 + 18 = 33<BR>\n" );
document.write( "confirm:<BR>\n" );
document.write( "33 = 33\r<BR>\n" );
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document.write( "answer is:\r<BR>\n" );
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document.write( "10 pounds of the $1.50 chocolate were used.<BR>\n" );
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