SOLUTION: 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, w

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: 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, w      Log On

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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
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = pounds of nuts needed
+8x+ = cost of nuts in dollars
given:
+3%2A70+=+210+ = cost of raisins in dollars
--------------
+%28+8x+%2B+210+%29+%2F+%28+x+%2B+70+%29+=+6+
+8x+%2B+210+=+6%2A%28+x+%2B+70+%29+
+8x+%2B+210+=+6x+%2B+420+
+2x+=+210+
+x+=+105+
105 pounds of nuts are needed
check:
+%28+8%2A105+%2B+210+%29+%2F+%28+105+%2B+70+%29+=+6+
+%28+840+%2B+210+%29+%2F+175+=+6+
+1050+%2F+175+=+6+
+1050+=+1050+
OK