document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1107393>Question 1107393</A>: <I><SPAN STYLE=\"word-break: break-all;\"> To create a chocolate blend, chocolate in two concentrations, 71% cocoa and 44% cocoa, are combined together. If 12 ounces of the 71% chocolate is used, how many ounces of the 44% chocolate must be used to obtain a 56% chocolate blend? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #722420 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13203)</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=722420\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "(1) The traditional algebraic solution method....<br><BR>\n" );
document.write( "\"12 ounces of 71%, plus x ounces of 44%, equals (12+x) ounces of 56%\"<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%28.71%29%2Bx%28.44%29+=+%2812%2Bx%29%28.56%29 ALIGN=MIDDLE  ALT=\"12%28.71%29%2Bx%28.44%29+=+%2812%2Bx%29%28.56%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "I'll let you solve the equation to find the answer....<br><BR>\n" );
document.write( "(2) By the method of alligation....<br><BR>\n" );
document.write( "Once you understand it, this method gets you to the answer much faster and with less work.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%283%2C3%2C71%2C%22%22%2C12%2C%22%22%2C56%2C%22%22%2C44%2C%22%22%2C15%29 ALIGN=MIDDLE  ALT=\"matrix%283%2C3%2C71%2C%22%22%2C12%2C%22%22%2C56%2C%22%22%2C44%2C%22%22%2C15%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "As shown in this diagram...<BR>\n" );
document.write( "the numbers in the first column are the percentages of the two ingredients (71%, 44%);<BR>\n" );
document.write( "the number in the middle column is the percentage of the mixture (56%); and<BR>\n" );
document.write( "the numbers in the third column are the differences, calculated diagonally, between the numbers in the first and second columns (71-56 = 15; 56-44 = 12).<br><BR>\n" );
document.write( "When the calculations are performed this way, the two numbers in the third column show the ratio in which the two ingredients must be mixed.<br><BR>\n" );
document.write( "So this diagram shows that the two ingredients must be mixed in the ratio 12:15; and since there are 12 ounces of the 71% chocolate, you need 15 ounces of the 44% chocolate. </SPAN>\n" );
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