Problema Solution

A store mixes Brazilian coffee worth $12 per kilogram and Venezuelan coffee worth $14 per kilogram.the mixture is to sell for 13 dollars per kilogram. Find how much of each should be used to make a 216 kilogram mixture.

Answer provided by our tutors

let


b = kg of Brazilian coffee


v = kg of Venezuelan coffee


we meed to make a 216 kilogram mixture:


b + v = 216


the mixture is to sell for 13 dollars per kilogram:


12b + 14v = 13*216


by solving the system of equations:


b + v = 216


12b + 14v = 13*216


we find:


b = 108 kg


v = 108 kg


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108 kg Brazilian coffee should be mixed with 108 kg Venezuelan coffee.