SOLUTION: The Nut House sells walnuts for $4.00 a pound and cashews for $7.00 a pound. How many pounds of cashews should be mixed with 10 pound of walnuts to obtain a mixture that sells for
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Question 257219: The Nut House sells walnuts for $4.00 a pound and cashews for $7.00 a pound. How many pounds of cashews should be mixed with 10 pound of walnuts to obtain a mixture that sells for $5.50 a pound? Answer by drk(1908) (Show Source):
You can put this solution on YOUR website! This is a mixture problem. Here is a table based on the given information:
NUTS . . . . . . . . . $ . . . . . . . . . . pounds . . . . . . . . . . . . $pounds
Walnuts . . . . . . . 4 . . . . . . . . . . .10 . . . . . . . . . . . . . . . . .40
Cashew . . . . . . . 7 . . . . . . . . . . . .X . . . . . . . . . . . . . . . . .7X
MIXTURE . . . . . .5.50 . . . .. . . . .. (X-10) . . . . . .. . .. . . .. 5.50X - 55
In the last column, the first two terms add to the last as
Solving for X, we get
X = 10 pounds
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