document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=193721>Question 193721</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The owners of a candy store want to sell, for $5 per pound, a mixture of chocolate-covered raisins, which usually <BR>\n" );
document.write( "      sells for $3 per pound, and chocolate-covered macadamia nuts, which usually sells for $8 per pound. They have <BR>\n" );
document.write( "      a 50 pound barrel of the raisins. How many pounds of the nuts should they mix with the barrel of raisins so that <BR>\n" );
document.write( "      they hit their target value of $5 per pound for the mixture? <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 #145402 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=145402\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x = the required number of pounds of macadamia nuts at $8.00 per pound.<BR>\n" );
document.write( "These will be mixed with the 50 pounds of chocolate-covered raisins (mmmm) at $3.00 per pound.<BR>\n" );
document.write( "The final result will be (50+x) pounds of mixture at $5.00 per pound.<BR>\n" );
document.write( "So, putting it all together, we get the cost of the 50 pounds chocolate-covered rains is $3.00(50) and the cost of the x pounds of macadamia nuts is $8.00(x) and the sum of these two will be (x+50) pounds of the mixture at $5.00 per pound. Let's write the equation to solve for x.<BR>\n" );
document.write( "3(50)+8(x) = 5(50+x) Simplify.<BR>\n" );
document.write( "150+8x = 250+5x Subtract 5x from both sides.<BR>\n" );
document.write( "150+3x = 250 Subtract 150 from both sides.<BR>\n" );
document.write( "3x = 100 Divide both sides by 3.<BR>\n" );
document.write( "x = 33.33<BR>\n" );
document.write( "So the candy store owners will need to mix 33 1/3 pounds of macadamia nuts (at $8.00 per pound) with the 50 pounds of chocolate-covered raisins (at $3.00 per pound) to obtain 83 1/3 pounds of mixture at $5.00 per pound.\r<BR>\n" );
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