Problema Solution

cashews sell for $4 a pound. Peanuts sell for $1.50 a pound. The manager of store mixes 60 pounds of some peanuts with some cashews and sells mixture for $2. how many pounds of cashews should be mixed with the peanuts to ensure no change in the profits?

Answer provided by our tutors

let


c = lbs of the cashews needed for the mix


p = lbs of the peanuts needed for the mix


The manager of store mixes 60 pounds of some peanuts with some cashews and sells mixture for $2:


c + p = 60


4c + 1.50p = 2*60


by solving the above system of equations we find:


c = 12 lbs


p = 48 lbs


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12 pounds of cashews and 48 pounds of peanuts should be mixed.