Problema Solution

a grocer wants to mix peanuts and cashews to produce 20lbs of mixed nuts worth $6.20 per pound. How many of each kind should he use if peanuts cost $4.80 per pound and cashews cost $8 per pound?

Answer provided by our tutors

let


p = lbs of peanuts used


c = lbs of cashews used


a grocer wants to mix peanuts and cashews to produce 20 lbs of mixed nuts worth $6.20 per pound:


p + c = 20


4.80p + 8c = 6.20*20


by solving the above system of equations we find:


p = 11.25 lbs


c = 8.75 lbs


click here to see the step by step solution of the system of equations:


Click to see all the steps



The grocer should use 11.25 pounds od peanuts and 8.75 pounds of cashews.