Problema Solution

A store mixes Kenyan coffee worth $11 per kilogram and Venezuelan coffee worth $13 kilogram. The mixture is to sell for $12 per kilogram. Find how much of each should be used to make a 576-kilogram mixture.

Answer provided by our tutors

let


k = kg of the Kenyan coffee

v = kg of the Venezuelan coffee


the mixture has 576 kg


k + v = 576


The mixture is to sell for $12 per kilogram


11k + 13v = 12*576


by solving the system of equations


k + v = 576

11k + 13v = 12*576


we find


k = 288 kg


v = 288 kg


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288 kg of each should be used to make a 576-kilogram mixture.