document.write( "Question 54117: The owners of a candy store want to sell, for $6 per pound, a mixture of chocolate covered raisins, which usually sells for $3 per pound, and chocolate covered macadamia nuts, which usually sells for $8 per pound. They have a 60 pound barrel of the raisins. How many pounds of the nuts should they mix with the barrel of raisins so that they hit their target value of $6 per pound for the mixture? \n" ); document.write( "

Algebra.Com's Answer #36395 by stanbon(75887) $\"\"$ $\"About$

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The owners of a candy store want to sell, for $6 per pound, a mixture of chocolate covered raisins, which usually sells for $3 per pound, and chocolate covered macadamia nuts, which usually sells for $8 per pound. They have a 60 pound barrel of the raisins. How many pounds of the nuts should they mix with the barrel of raisins so that they hit their target value of $6 per pound for the mixture?
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\n" ); document.write( "Let amount of ccraisins be \"x\" lbs. ; value of those is 3x dollars
\n" ); document.write( "Amount of macnuts is \"60-x\" lbs. ; value of those is 8(60-x)=480-8x dollars
\n" ); document.write( "Amount of mixed nuts is 60 lbs. ; value of that is 6(60)=360 dollars
\n" ); document.write( "EQUATION:
\n" ); document.write( "3x+480-8x=360
\n" ); document.write( "-5x=-120
\n" ); document.write( "x=28 lbs (amount of chocolate covered raisins in the mixture)
\n" ); document.write( "60-x= 32 lbs ( amount of macadamia nuts in the mixture)
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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