document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1069813>Question 1069813</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A shop that sells nuts has one mixture that is 30% pecans and <BR>\n" );
document.write( "70% peanuts. A second mixture is 40% pecans and 60% peanuts. <BR>\n" );
document.write( "The manager wants to make a mixture that is 38% pecans. She <BR>\n" );
document.write( "wants to use 25 ounces more of the second mixture than the <BR>\n" );
document.write( "first. How many ounces of each mixture should she use?\r<BR>\n" );
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document.write( "Thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #684932 by </B><A HREF=/tutors/aboutme.mpl?userid=addingup><B>addingup(3677)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=addingup><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=addingup><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=684932\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let's call the weight of the first mixture x. Thus, the weight of the second mixture will be x+25, since you want to use 25oz. more of the second mixture than the first.<BR>\n" );
document.write( "So, the total weight for our final mixture will be:<BR>\n" );
document.write( "x+x+25 = 2x+25<BR>\n" );
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document.write( "Now for the weight of the pecans:<BR>\n" );
document.write( "first mixture: 30% pecans = 0.3x.<BR>\n" );
document.write( "second mixture:40% pecans = 0.4(x+25)<BR>\n" );
document.write( "Lastly, we are looking for a mix with 38% pecans = 0.38(x+x+25)= 0.38(2x+25)<BR>\n" );
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document.write( "Put it all together:<BR>\n" );
document.write( "0.3x+0.4(x+25) = 0.38(2x+25)<BR>\n" );
document.write( "0.3x+0.4x+10 = 0.76x+9.5<BR>\n" );
document.write( "0.7x = 0.76x-0.5 subtract 7x and add 0.5 to both sides<BR>\n" );
document.write( "0.5 = 0.06x flip the equation, it looks better with the variable x on the left<BR>\n" );
document.write( "0.06x = 0.5 divide both sides by 0.06<BR>\n" );
document.write( "x = 8.33 So this is the weight of the first mixture. The second mixture, the problem says, will be 25 oz. more: 8.33+25 = 33.33oz.<BR>\n" );
document.write( "--------------------------------<BR>\n" );
document.write( "Additional info:<BR>\n" );
document.write( "What will be the total weight of the final mixture? 8.33+33.33 = 41.66 ounces.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Happy learning,<BR>\n" );
document.write( "John  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );