Problema Solution

a store mixes Brazilian coffee worth $10 per kilogram and Venezuelan coffee worth $13 per kilogram. The mixture is to sell for $12 per kilogram. Find how much of each should be used to make a 180-kilogram mixture.

Answer provided by our tutors

let


b = kg of Brazilian coffee


v = kg of Venezuelan coffee


we meed to make a 180 kilogram mixture:


b + v = 180


the mixture is to sell for $12 per kilogram:


10b + 13v = 12*180


by solving the system of equations:


b + v = 180


10b + 13v = 12*180


we find:


b = 60 kg


v = 120 kg


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60 kg of Brazilian coffee should be mixed with 120 kg of Venezuelan coffee.