Problema Solution

Farmer Perry's Produce Stand sells 20 kg bags of mixed nuts that contain 41% peanuts. To make his product he combines Brand A mixed nuts which contain 50% peanuts and Brand B mixed nuts which contain 30% peanuts. How much of each does he need to use?

Answer provided by our tutors

let


x = kg of Brand A


y = kg of Brand B


Farmer Perry's Produce Stand sells 20 kg bags of mixed nuts that contain 41% peanuts:


x + y = 20


0.50x + 0.30y = 0.41*20


by solving the above system of equations we find:


x = 11 kg


y = 9 kg


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he needs to use 11 kg of Brand A and 9 kg of Brand B.