document.write( "Question 534421: 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 70 pound barrel of the raisins. how many pounds of the nuts should they mix with the barrel of raisins so that they target value of 6$ per pound for the mixture \n" ); document.write( "

Algebra.Com's Answer #351516 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"x\"$ = pounds of nuts needed
\n" ); document.write( " $\"+8x+\"$ = cost of nuts in dollars
\n" ); document.write( "given:
\n" ); document.write( " $\"+3%2A70+=+210+\"$ = cost of raisins in dollars
\n" ); document.write( "--------------
\n" ); document.write( " $\"+%28+8x+%2B+210+%29+%2F+%28+x+%2B+70+%29+=+6+\"$
\n" ); document.write( " $\"+8x+%2B+210+=+6%2A%28+x+%2B+70+%29+\"$
\n" ); document.write( " $\"+8x+%2B+210+=+6x+%2B+420+\"$
\n" ); document.write( " $\"+2x+=+210+\"$
\n" ); document.write( " $\"+x+=+105+\"$
\n" ); document.write( "105 pounds of nuts are needed
\n" ); document.write( "check:
\n" ); document.write( " $\"+%28+8%2A105+%2B+210+%29+%2F+%28+105+%2B+70+%29+=+6+\"$
\n" ); document.write( " $\"+%28+840+%2B+210+%29+%2F+175+=+6+\"$
\n" ); document.write( " $\"+1050+%2F+175+=+6+\"$
\n" ); document.write( " $\"+1050+=+1050+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );