A store mixes Kenyan coffee worth $11 per kilogram and Turkish 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 348-kilogram mixture. How many kilograms of the Kenyan coffee should be in the mixture?

Question

A store mixes Kenyan coffee worth $11 per kilogram and Turkish 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 348-kilogram mixture.  How many kilograms of the Kenyan coffee should be in the mixture?

Steve · Answer

11K + 13T = 12*348 but K+T=348, so 11K + 13(348-K) = 12*348 K = 174 as expected, since the final price is the average of the two kinds, there is an equal amount of each.