Problema Solution

Cashews cost 2 dollars per pound and almonds cost 5 dollars per pound. He plans to sell 150 pounds of a mixture. How many pounds of each type of nuts should be mixed if the mixture will cost 3 dollars?

Answer provided by our tutors

let


c = lbs of cashews


a = lbs of almonds


He plans to sell 150 pounds of a mixture:


c + a = 150


the mixture will cost 3 dollars per pound:


2c + 5a = 3*150


by solving the system of equations:


c + a = 150


2c + 5a = 3*150


we find:


c = 100 lbs


a = 50 lbs


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100 pounds of cashews and 50 pounds of almonds should be used for the mix.