Problema Solution

The manager of a candy shop sells chocolate covered peanuts for $9 per pound and chocolate covered cashews for $14 per pound. The manager wishes to make a 75-pound mixture that will sell for $13 per pound. How many pounds of each should be used?

Answer provided by our tutors

let


p = lbs of the chocolate covered peanuts

c = lbs of the chocolate covered cashews


the manager wishes to make a 75-pound mixture that will sell for $13 per pound


p + c = 75


9p + 14c = 13*75


by solving the system of equations we find


p = 15 lbs


c = 60 lbs


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the manager should use 15 pounds of chocolate covered peanuts and 60 pounds of chocolate covered cashews.